0%through
Start hereYear 8 ScienceBiological sciences

Cells, organs and the systems that keep you alive.

Eight units, {{EXCOUNT}} interactive drills and a marked mock exam — built straight from the Year 8 Australian Curriculum descriptions AC9S8U01 and AC9S8U02.

Before MondayA three-session plan

You do not have to read all of this at once. Work in the order below and stop after each session — sleep is what turns study into memory.

Session 1 · ~50 min Cells Units 1–3. Do every drag-and-drop label twice: once with the notes open, once from memory.
Session 2 · ~60 min Body systems Units 4–7. The heart and the alveolus diagrams carry the most marks — label them until you are quick.
Session 3 · ~45 min Test yourself Unit 8, then the oral quiz, then the mock exam with the timer running. Re-read only what you got wrong.

How this worksFour ways to study

  • Read. Every unit is written to be understood, not skimmed. Key words are underlined and collected in the glossary.
  • Listen. Turn Voice on in the top bar, then press Listen next to any heading and the page reads that section to you.
  • Drag. Labels, sorting bins and sequences — drag with a mouse or a finger, or tap a label then tap where it goes.
  • Be tested. The oral quiz asks a question out loud, gives you a countdown to answer, then tells you if you were right. The mock exam marks you out of 100 and shows which topic let you down.
What Year 8 Biology is actually assessed on

AC9S8U01 — cells are the basic unit of living things, with specialised structures and functions.

AC9S8U02 — multicellular organisms rely on coordinated and interdependent internal systems to respond to changes in their environment.

Everything in this course sits under one of those two sentences. If you can explain both in your own words and label the diagrams, you are ready.

Coming nextThe rest of school

This site is built to grow. Year 7, 9, 10, 11 and 12 courses sit beside this one — same diagrams, same drills, same exam engine. Open the course picker in the top bar to see what is planned.

FreeAustralian Curriculum v9Years 7–11

Revision that sticks, for every year of high school.

The Learning Cycle turns each subject of the Australian Curriculum into short illustrated notes, drag-and-drop drills, a spoken quiz and a marked mock exam. No account, nothing to install, free for every student.

63courses
700interactive drills
63marked mock exams
0accounts or trackers

Start herePick your year, then your subject

Years 7–10 follow the national Australian Curriculum v9, so they match every state. Years 11 and 12 follow the Queensland QCAA senior syllabuses (Units 1–2, then Units 3–4 with the external exam). Cards marked Coming soon are on the way.

How it worksFour ways to study every topic

  • Read. Each unit is a short, plain explanation with labelled diagrams — written to be understood, not skimmed. Key words are collected in a glossary.
  • Listen. Turn Voice on in the top bar and press Listen next to any unit: the page reads it aloud, with an optional high-quality AI voice that runs on your own device.
  • Drag. Labels onto diagrams, cards into bins, steps into order — with a mouse or a finger, or tap a label then tap where it goes. Every drill marks itself.
  • Be tested. The spoken quiz asks a question out loud and gives you a countdown to answer. The mock exam is timed, marked out of 100 and shows which topic let you down.
Your progress Stays on this device Finished units and best scores are saved in this browser only. Nothing is sent anywhere, and there is nothing to sign up for.
Any screen Phone, tablet, laptop One page that works everywhere, in light or dark. Add it to your phone's home screen and it opens like an app.
Before an exam Three sessions, not one night Each course opens with a short study plan. Do the drills twice — once with the notes open, once from memory — then sit the mock exam.

Who made thisA parent, for one student first

The Learning Cycle started as a weekend project to get one Year 8 student through a Biology exam. It worked, so it grew: every core subject and the Technologies electives from Year 7 to Year 12, built by JohnsonB Studio in Queensland and shared with anyone who can use it. It is free and will stay free. If it helps you or your child, the Donate button in the top bar keeps it growing.

Unit 1AC9S8U01Cell theory · Microscopy

Cells: the smallest thing that counts as alive

A cell is the smallest unit that can carry out all the processes of life. Nothing smaller feeds itself, gets rid of waste, responds or reproduces — which is why biology starts here.

Turn Voice on in the top bar first.

1.1The three rules of cell theory

Cell theory is three sentences that took two hundred years and a lot of arguing to nail down. Learn them word for word — they are cheap marks.

  1. All living things are made of one or more cells. A bacterium, a gum tree and you are all built from the same kind of unit.
  2. The cell is the basic unit of structure and function in living things. Every job a body does — digesting, moving, sensing — happens because cells do it.
  3. All cells come from pre‑existing cells. Cells only ever appear by an existing cell dividing. Life does not start from nothing.
Where it came from

In 1665 Robert Hooke looked at a shaving of cork through his own microscope and saw thousands of empty boxes. They reminded him of the small rooms monks slept in — cellula in Latin — so he called them cells. He was looking at dead plant cell walls.

Ten years later Antonie van Leeuwenhoek, a Dutch draper who ground better lenses than anyone alive, looked at pond water and at scrapings from his own teeth, and saw things swimming. He called them "animalcules". They were the first living cells anyone had ever seen.

1.2Working the microscope

Cells are measured in micrometres (µm). One micrometre is a thousandth of a millimetre. A typical animal cell is about 20 µm across — you could line up fifty of them across a single millimetre. That is why you need a light microscope, and why the practical exam questions are always about using one properly.

Eyepiece ×10 Body tube Revolving nosepiece Objective lenses Stage & clips Diaphragm Light source Coarse focus Fine focus Arm Base what you look through ×4, ×10, ×40 holds the slide still shines up through the slide big movements — low power only sharpening — safe on high power
Figure 1.1 — the light microscopeLight travels up from the lamp, through the specimen on the slide, through the objective lens and then the eyepiece. Each lens magnifies, which is why you multiply them together.

Total magnification

You multiply the two lenses. Nothing else.

The formula

Total magnification = eyepiece magnification × objective magnification

Eyepiece ×10 with the ×40 objective gives ×400. The image is 400 times wider than the real object — so an object that appears 8 mm wide down the microscope is really 8 ÷ 400 = 0.02 mm, or 20 µm across.

Making a wet mount

  1. Put one drop of water in the middle of a clean slide.
  2. Add the specimen — a piece of onion epidermis, a cheek scraping, a leaf peel.
  3. Add a drop of stain. Iodine stains starch and plant nuclei; methylene blue stains animal nuclei. Without stain, most parts of a cell are transparent and you see almost nothing.
  4. Lower the coverslip at an angle using a mounting needle, then let it fall. Going slowly is what stops air bubbles — a bubble looks like a thick black ring and gets mistaken for a cell every year.
  5. Start on the lowest objective, focus with the coarse knob, centre what you want, then switch up and use only the fine focus.
The mistake that costs marks

Never use the coarse focus knob on the ×40 objective. It moves the stage far enough to drive the lens through the slide — broken glass, scratched lens, no result. Coarse focus is for low power only.

1.3One cell, or trillions

Unicellular organisms are a single cell that does everything: takes in food, releases energy, removes waste, reproduces. Bacteria, yeast, Amoeba, Paramecium and Euglena all live this way.

Multicellular organisms are made of many cells that have divided the work between them. A human is roughly 30 trillion cells, and a red blood cell has given up so much to carry oxygen that it cannot even divide any more. That is the trade: specialise, and depend on everyone else.

UnicellularMulticellular
One cell does every life processCells specialise and share the work
Exchange happens straight across the cell surfaceNeeds transport systems to reach inner cells
Usually microscopicCan grow very large
Damage to the cell kills the organismDamaged cells are replaced by cell division
Examples: bacteria, yeast, Amoeba, ParameciumExamples: a mouse, a eucalypt, a mushroom, you

1.4Why cells are so small

Everything a cell needs enters through its surface, and everything it makes has to leave the same way. As a cell grows, its volume grows faster than its surface area — so a big cell has proportionally less surface to feed a much bigger inside. Past a certain size the middle starves. Cells solve it by staying small and dividing.

side 1side 2side 3 SA 6 : Vol 1SA 24 : Vol 8SA 54 : Vol 27 ratio 6 : 1 ratio 3 : 1 ratio 2 : 1
Figure 1.2 — surface area to volumeTriple the side length and the surface area rises nine-fold, but the volume rises twenty-seven-fold. The bigger the cube, the worse the ratio — and a cell lives or dies on that ratio. Remember this figure: the same argument explains villi, alveoli and root hairs later in the course.
Unit 2AC9S8U01Organelles · Animal vs plant

Inside the cell: who does what

A cell is a workshop. Each part — each organelle — has one job, and the exam almost always asks you to match the part to the job, or to label it on a diagram.

2.1The animal cell

Study the labelled version first. Then scroll to the drag-and-drop drill below and do it from memory — that is the part that actually makes it stick.

Animal cell structurePlasma membranenucleus borderleader: Nuclear poreleader: Chromatinleader: Nuclear envelopeleader: Nucleusleader: Nucleolusleader: Peroxisomeleader: Microtubuleleader: Lysosomeleader: Free Ribosomesleader: Mitochondrionleader: Intermediate Filamentsleader: Cytoplasmleader: Secretory vesicleleader: Centrosome with 2 centriolesleader: Flagellumleader: Plasma membraneleader: Golgi vesicles (golgi apparatus)leader: Ribosomesleader: Rough endoplasmic reticulumleader: Smooth endoplasmic reticulmleader: Actin Filaments
Figure 2.1 — a generalised animal cellNo real cell looks exactly like this; it is a diagram of every organelle at once. Note there is no cell wall, no chloroplast and only tiny vacuoles — those three absences are how you tell an animal cell from a plant cell in a test.

2.2The plant cell

A plant cell has everything an animal cell has, plus three extras: a cell wall, chloroplasts and one large permanent vacuole. Those three explain almost everything else about plants — why they hold their shape, why they are green, and why a thirsty plant wilts.

Figure 2.2 — a generalised plant cellThe cell wall is drawn thick and green on the outside of the membrane — they are two different structures and marking schemes want both named. The vacuole is huge on purpose: it pushes the cytoplasm out against the wall, and that pressure is what holds a soft plant upright.

2.3Every organelle, and its one job

OrganelleWhat it doesFound in
Cell membraneA thin, flexible, partially permeable boundary. Controls what enters and leaves.Animal & plant
CytoplasmWatery jelly filling the cell. Most chemical reactions happen here; organelles float in it.Animal & plant
NucleusContains DNA (chromosomes). Controls the cell’s activities and holds the instructions for making proteins.Animal & plant
MitochondrionSite of aerobic respiration — releases energy from glucose. Busy cells (muscle, liver) hold thousands.Animal & plant
RibosomeTiny dot where proteins are made. Sits free in the cytoplasm or stuck to the ER.Animal & plant
Rough ERFolder and freight line for the proteins the ribosomes make.Animal & plant
Golgi apparatusFinishes, packages and ships molecules out in vesicles — the post room.Animal & plant
LysosomeBag of digestive enzymes. Breaks down worn-out parts and invading bacteria.Mainly animal
Cell wallRigid outer layer of cellulose. Gives shape and stops the cell bursting. Fully permeable.Plant only
ChloroplastContains green chlorophyll; traps light energy for photosynthesis.Plant only
Permanent vacuoleLarge sac of cell sap. Its pressure keeps the plant firm (turgid).Plant only (large one)
Three things students mix up

Cell wall is not cell membrane. The wall is thick, rigid, cellulose and plant-only. The membrane is thin, flexible and in every cell — including plant cells, just inside the wall.

Not every plant cell is green. Root cells have no chloroplasts — no light gets down there. So "plant cell" does not automatically mean "has chloroplasts".

Chloroplast is the structure, chlorophyll is the pigment inside it. One is a place, one is a chemical.

Unit 3AC9S8U01Levels of organisation · Specialised cells

From one cell to a whole organism

Multicellular life is built in five steps. Learn the ladder in order, because every body-system question later in the course is really a question about one rung of it.

3.1The five levels of organisation

many ofgroupedworkingall systems the sameintotogethertogether CELLTISSUEORGAN ORGAN SYSTEMORGANISM muscle cellmuscle tissuestomach digestive systema human the basic unitsame cells, same jobseveral tissues, one job organs on one taskall systems, one life
Figure 3.1 — the organisation ladderEach level is built from many of the level before it. The arrows carry the definition: a tissue is many similar cells doing the same job; an organ is several tissues working together on one job; an organ system is several organs working together on one task.
Say it in a sentence

Cell → tissue → organ → organ system → organism. A worked example gets full marks: "A muscle cell is one cell. Many muscle cells make muscle tissue. Muscle tissue plus glandular tissue plus lining tissue make the stomach, an organ. The stomach with the intestines and liver make the digestive system. All the systems together make the organism."

3.2Specialised cells

A cell that specialises changes its shape and its contents to suit one job. In the exam you are given a picture or a description and asked how is this cell adapted to its function? — and the answer is always structure first, then what that structure lets it do.

RED BLOOD CELLNERVE CELLSPERM CELL ROOT HAIR CELLPALISADE CELL no nucleus — more roombiconcave — big surfacepacked with haemoglobin very long axonbranched endingscarries impulses far and fast tail to swimmany mitochondriaenzymes to enter the egg long thin extensionhuge surface areaabsorbs water and minerals tall and column-shapedpacked with chloroplaststraps the most light
Figure 3.2 — five specialised cellsLook for the pattern: every adaptation is either more surface, more space inside, more mitochondria or a useful shape. If you can spot which of the four a cell is using, you can answer an adaptation question about a cell you have never seen.

3.3How substances actually get in and out

Diffusion is the movement of particles from where they are more concentrated to where they are less concentrated, until they are spread evenly. It needs no energy — particles are already moving randomly, and spreading out is just what that randomness adds up to. Oxygen entering a cell and carbon dioxide leaving it both happen by diffusion.

Osmosis is the same idea but about water: water moves across a partially permeable membrane from a dilute solution to a more concentrated one. It is why a limp lettuce leaf crisps up in cold water, and why a plant with no water wilts — the vacuoles empty and stop pushing on the cell walls.

membrane oxygen in carbon dioxide out OUTSIDE — high oxygen INSIDE THE CELL — high carbon dioxide
Figure 3.3 — diffusion, both ways at onceEach gas moves down its own concentration gradient, independently of the other. Diffusion is passive: no energy is spent, and it stops being useful the moment the concentrations even out — which is why blood keeps flowing past, carrying the oxygen away and keeping the gradient steep.
Worth knowing

Three things make diffusion faster, and all three come back in the respiratory and digestive units: a steeper concentration gradient, a larger surface area, and a shorter distance to travel. Alveoli, villi and root hairs are all the same solution to the same problem.

Unit 4AC9S8U02Digestion · Absorption

The digestive system: turning food into fuel

Food is made of molecules far too big to cross a cell membrane. Digestion is one long job of breaking them down small enough to be absorbed — nine metres of tube doing chemistry on the way.

4.1The two kinds of digestion

Mechanical digestion is physical: teeth chewing, the stomach churning, bile emulsifying fat. It does not change the chemicals — it just breaks the food into smaller pieces, which gives the enzymes far more surface area to attack.

Chemical digestion uses enzymes to break the large molecules into small ones. Starch becomes glucose, proteins become amino acids, fats become fatty acids and glycerol. Only then are the molecules small enough to be absorbed into the blood.

Figure 4.1 — the digestive systemThe alimentary canal is the tube itself: mouth, oesophagus, stomach, small intestine, large intestine, rectum. The liver, gall bladder and pancreas are accessory organs — food never passes through them, but they pour bile and enzymes in.

4.2The journey, organ by organ

  1. Mouth. Teeth chew (mechanical). Saliva adds amylase, which starts breaking starch into sugars, and mucus to make a slippery ball of food called a bolus.
  2. Oesophagus. No digestion here. Rings of muscle squeeze in waves — peristalsis — pushing the bolus down. This is why an astronaut can swallow upside down; gravity is not doing the work.
  3. Stomach. A muscular bag that churns for 2–4 hours. It releases hydrochloric acid (kills most bacteria and gives protease the acidic pH it needs) and protease, which starts on proteins. Food leaves as a soup called chyme.
  4. Small intestine — digestion. The first part, the duodenum, receives bile from the gall bladder and enzymes from the pancreas. Chemical digestion is finished here.
  5. Small intestine — absorption. In the long second part, the small food molecules pass through the wall into the blood. About 6 m long and lined with millions of finger-like villi.
  6. Large intestine. What is left is mostly water and fibre. Water and some minerals are absorbed back into the blood; gut bacteria feed on the fibre and make some vitamins.
  7. Rectum and anus. The solid waste, faeces, is stored and then egested. Note the word: egestion is removing undigested food that never entered a cell — not the same as excretion.

4.3Enzymes: the three you must know

An enzyme is a biological catalyst — a protein that speeds up a reaction without being used up. Each one only fits one kind of molecule, and each works best at a particular temperature and pH. Learn this table as three rows of three.

EnzymeBreaks downIntoMade in
Amylase (a carbohydrase)StarchSimple sugars (glucose)Salivary glands, pancreas
Protease (pepsin in the stomach)ProteinsAmino acidsStomach, pancreas
LipaseFats (lipids)Fatty acids + glycerolPancreas, small intestine
Bile is not an enzyme

Bile is made by the liver, stored in the gall bladder, and does two jobs: it neutralises stomach acid so the intestinal enzymes can work, and it emulsifies fat — breaking big fat drops into thousands of tiny ones. That is mechanical, not chemical: it gives lipase a far bigger surface area to work on. Bile speeds fat digestion up without digesting anything itself.

4.4Why the small intestine is shaped the way it is

Absorption is diffusion — so the small intestine is built for the three things that make diffusion fast: huge surface area, short distance, steep gradient.

Villus a finger-like foldwall of the small intestine Microvilli Wall one cell thick Capillary network Lacteal folds on folds — more surface still so the trip to the blood is tiny carries glucose and amino acids away carries fat away one villus, enlarged Millions of these line the tube, so the surface is enormous
Figure 4.2 — a villusMillions of villi turn a 6 m tube into roughly 30 m² of absorbing surface — about the floor area of a small bedroom. Each villus wall is one cell thick, so the distance to the blood is tiny, and the blood keeps flowing to keep the concentration gradient steep.
Unit 5AC9S8U02Heart · Blood · Vessels

The circulatory system: the delivery network

Every cell in your body needs oxygen and glucose delivered and carbon dioxide taken away. The heart is the pump, the vessels are the roads, and the blood is the truck. Beats about 100,000 times a day without ever being told to.

5.1The heart, chamber by chamber

Four chambers. Two on top called atria that receive blood, two underneath called ventricles that pump it out. The right side handles blood coming back from the body; the left side handles blood coming back from the lungs.

Read the diagram the right way round

Heart diagrams are drawn as if the person is facing you. So the right side of the heart appears on the left of the page. Every year students lose marks by naming the chamber they can see on the left "the left atrium". Check the labels, not your instincts.

mitral valve leaderaortic valve leadertricuspid valve leaderpulmonary valve leadersuperior vena cava leaderpericardium leader
Figure 5.1 — the human heartBlue is deoxygenated, red is oxygenated — the same code is used in every figure on this site. Notice the two exceptions to the usual rule: the pulmonary artery is an artery carrying deoxygenated blood, and the pulmonary vein is a vein carrying oxygenated blood.

5.2Four structures, four reasons

StructureWhy it is like that
Atria have thin wallsThey only push blood down into the ventricle — a few centimetres. Little force needed.
Ventricles have thick, muscular wallsThey pump blood out of the heart under pressure.
The left ventricle wall is thickest of allIt pushes blood all the way around the whole body; the right ventricle only reaches the lungs, which are next door.
ValvesFlaps that snap shut so blood can only travel one way. The "lub-dub" of a heartbeat is the sound of valves closing.
The septumA wall of muscle keeping oxygenated and deoxygenated blood completely separate, so the blood sent to the body is fully loaded with oxygen.

5.3Double circulation

Blood passes through the heart twice for every full lap of the body. That is what "double circulation" means, and it is why mammals can be so active: the blood is re-pressurised after the lungs instead of trickling on to the body.

HEART right left LUNGS gas exchange BODY every other organ pulmonary artery pulmonary vein aorta vena cava CIRCUIT 1 — PULMONARY CIRCUIT 2 — SYSTEMIC
Figure 5.2 — two circuits, one pumpCircuit 1 (pulmonary): right side → lungs → back to the left side. Circuit 2 (systemic): left side → body → back to the right side. A fish has a single circulation and its blood loses most of its pressure crossing the gills — which is part of why fish do not run marathons.

5.4Three kinds of blood vessel

Figure 5.3 — vessels, drawn to the same scale ideaArteries carry blood away from the heart (A for away). Veins carry it back, so their pressure is low — which is why they need valves to stop backflow, and why squeezing your leg muscles helps blood get home.

5.5What blood is made of

ComponentJobAdaptation
Red blood cellsCarry oxygenNo nucleus (more room), biconcave disc (more surface area), full of haemoglobin which binds oxygen
White blood cellsFight infectionSome engulf microbes, some make antibodies; they do have a nucleus
PlateletsClot the bloodCell fragments that plug a wound and trigger a mesh of fibrin
PlasmaCarries everything elseStraw-coloured liquid, about 90% water; transports glucose, amino acids, carbon dioxide, hormones and heat
Worth knowing

Haemoglobin contains iron, and iron plus oxygen is what makes blood red — the same chemistry that makes rust red. Low iron means less haemoglobin, less oxygen delivered, and constant tiredness: that is anaemia.

Carbon monoxide from a faulty heater or a fire binds to haemoglobin about 200 times more tightly than oxygen does, and will not let go. That is why it is deadly at concentrations you cannot smell.

Unit 6AC9S8U02Breathing · Gas exchange

The respiratory system: getting oxygen in

Your lungs are not muscles. They cannot pull air in on their own — the diaphragm and the ribs do that, and air rushes in behind them because the pressure has dropped. Understanding that one idea answers most breathing questions.

Breathing is not respiration

Breathing (ventilation) is the physical movement of air in and out of the lungs.

Respiration is a chemical reaction inside every cell that releases energy from glucose. It happens in the mitochondria, twenty-four hours a day, in every cell you have.

If a question says "respiration" and you write about the diaphragm, you get nothing. Read carefully.

6.1The route air takes

Figure 6.1 — the respiratory systemAir travels: nose → trachea → bronchus → bronchiole → alveolus. The trachea is held open by C-shaped rings of cartilage — without them the tube would collapse every time you breathed in hard. The gap in the C is at the back, so a swallowed mouthful can still bulge past.

6.2How you breathe in and out

Air always moves from high pressure to low pressure. Your muscles change the volume of the chest, that changes the pressure inside, and air follows. Nothing sucks; everything is pushed.

BREATHING IN — INHALATION ribs move UP and OUT · diaphragm FLATTENS volume UP → pressure DOWN → air rushes IN BREATHING OUT — EXHALATION ribs move DOWN and IN · diaphragm DOMES UP volume DOWN → pressure UP → air pushed OUT
Figure 6.2 — the mechanism of breathingThe only difference between the two panels is muscle contraction. Breathing in is active: the diaphragm and intercostal muscles contract. Quiet breathing out is passive: they relax and the stretched chest springs back.

6.3The alveolus: where the exchange happens

There are roughly 300 million alveoli in a pair of lungs. Spread flat they would cover about half a tennis court — all of it packed inside your chest, all of it one cell thick.

ALVEOLUS air sac — wall one cell thick inner surface stays moist O₂ diffuses IN to the blood CO₂ diffuses OUT to the air Blood arrives low in O₂ deoxygenated — from the heart Blood leaves full of O₂ oxygenated — back to the heart Capillary also one cell thick
Figure 6.3 — gas exchange at one alveolusTwo walls, each one cell thick, is the entire distance oxygen has to cross. Both gases move by diffusion, each down its own concentration gradient, and the blood flowing past keeps both gradients steep.
Four adaptations, four marks

Asked "how is the alveolus adapted for gas exchange?", give all four and say what each one does:

1. Millions of them → enormous surface area. 2. Wall one cell thick → very short diffusion distance. 3. Surrounded by capillaries → blood carries gas away, keeping the gradient steep. 4. Moist lining → gases dissolve before they cross.

Unit 7AC9S8U02Excretion · Homeostasis

Excretion: taking out the chemical rubbish

Living cells constantly make waste, and some of it is poisonous. The excretory system removes it — and while it is at it, keeps the amount of water and salt in your blood almost perfectly steady.

Excretion vs egestion

Excretion is removing waste made by your cells — carbon dioxide, urea, excess water and salt. It was inside your cells.

Egestion is passing out undigested food as faeces. That material never entered a cell; it simply travelled through the tube. Faeces is not excretion.

7.1Three organs that excrete

OrganWaste removedWhere the waste came from
LungsCarbon dioxide, some water vapourCellular respiration in every cell
KidneysUrea, excess water, excess salt — as urineThe liver breaks down surplus amino acids into urea
SkinWater, salt and a little urea — as sweatBlood, filtered by sweat glands (cooling is the main purpose)
Figure 7.1 — the urinary systemBlood arrives through the renal artery, is filtered inside the kidney, and leaves cleaner through the renal vein. Your kidneys filter your entire blood volume roughly every 30 minutes — about 180 litres a day, almost all of it reabsorbed, leaving 1–2 litres of urine.

7.2Homeostasis: staying the same on the inside

Homeostasis is keeping the conditions inside your body steady while the outside world changes. Enzymes only work in a narrow range, so your body defends that range hard: temperature near 37 °C, blood water and salt near constant, blood glucose near constant, blood pH near 7.4.

The changeWhat the body doesWhy it works
Too hotSweat is released; blood vessels near the skin widen (vasodilation)Evaporating sweat takes heat away; more blood at the surface loses more heat
Too coldShivering; skin vessels narrow (vasoconstriction); hairs stand upShivering muscles release heat; less blood at the surface keeps heat in
Not enough waterKidneys make less, more concentrated urine; you feel thirstyWater is reabsorbed back into the blood instead of being lost
Blood glucose too highThe pancreas releases insulin; the liver stores glucoseGlucose leaves the blood, so the level falls back
Why this is the last unit before "systems together"

Every row above needs at least three systems talking to each other: something to detect the change (nervous system), something to carry the message (blood and hormones), and something to act (muscles, glands, kidneys). That is exactly what the curriculum means by "coordinated and interdependent internal systems".

Unit 8AC9S8U02Interdependence · Cellular respiration

Systems working together

This is the unit the curriculum actually cares about, and the one worth the most marks. No system works alone. Each one delivers something another one cannot get for itself.

8.1The reaction everything is for

Aerobic cellular respiration

glucose + oxygen → carbon dioxide + water + energy

It happens in the mitochondria of every cell, every second of your life. Read it as a shopping list and a bin bag: the digestive system supplies the glucose, the respiratory system supplies the oxygen, the circulatory system delivers both and collects the rubbish, and the respiratory and excretory systems throw the rubbish out.

A BODY CELL respiration in the mitochondria DIGESTIVERESPIRATORY CIRCULATORYEXCRETORY breaks food downinto glucose takes in oxygenbreathes out CO₂ the delivery networkblood, heart, vessels kidneys remove ureaand excess water glucoseoxygen carried by bloodurea + CO₂ out Remove any one arrow and the cell dies. That is what “interdependent” means.
Figure 8.1 — the four systems around one cellThe circulatory system is the connector: it is the only one that touches all the others. That is why a heart or lung problem quickly becomes a whole-body problem.

8.2What happens when you sprint

Exam questions love this scenario, because answering it well means describing several systems responding together to one change.

  1. Muscle cells respire faster, so they use up glucose and oxygen quickly and produce more carbon dioxide.
  2. Sensors detect the rising carbon dioxide in the blood.
  3. Breathing rate and depth increase — more oxygen into the blood, more carbon dioxide out.
  4. Heart rate increases — blood is delivered to the muscles faster, so oxygen and glucose arrive faster and waste is removed faster.
  5. Blood vessels to the muscles widen; vessels to the digestive system narrow. Delivery is prioritised where it is needed.
  6. You get hot, so you sweat and your skin flushes — the excretory and circulatory systems cooling you down.
  7. If oxygen still cannot arrive fast enough, muscles switch to anaerobic respiration: glucose → lactic acid + a little energy. Lactic acid builds up, the muscle aches, and you keep breathing hard afterwards to repay the oxygen debt.
How to write a full-mark answer

Name the system, name the change, then say why it helps. "The heart rate increases" is one mark. "The heart rate increases, so blood carries oxygen and glucose to the muscle cells faster and removes carbon dioxide faster, letting the muscle keep respiring aerobically" is three.

Start hereYear 8 ScienceChemical sciences

Everything is made of something.

Five units on what matter is made of and how it changes — built from the Year 8 Australian Curriculum descriptions AC9S8U06 and AC9S8U07.

The mapFive units

  1. The particle model — why solids hold their shape and gases fill the room.
  2. Atoms and elements — the hundred-ish ingredients everything is built from, and their symbols.
  3. Compounds — what happens when elements bond, and why water is nothing like hydrogen or oxygen.
  4. Mixtures and separation — filtering, evaporating, distilling and chromatography.
  5. Physical vs chemical change — the difference between melting ice and burning toast, and the clues that a new substance has formed.
What Year 8 Chemistry is actually assessed on

AC9S8U06 — classify matter as elements, compounds and mixtures, and compare different representations of them.

AC9S8U07 — compare physical and chemical changes, and identify the indicators that a chemical change has happened.

Unit 1AC9S8U06The particle model · States of matter

The particle model: three states, one idea

All matter is made of particles far too small to see, always moving, with nothing between them. Every property of solids, liquids and gases follows from how those particles are arranged and how fast they move.

1.1Solid, liquid, gas

SOLIDLIQUIDGAS packed in a regular patterntouching, but jumbledfar apart, no pattern vibrate on the spotslide past each otherfly freely at high speed fixed shape and volumefixed volume, takes the container's shapefills whatever space it gets
Figure 1.1 — the three states as particlesSame particles in every box — only the spacing and movement change. That is the whole particle model: the substance does not change between states, its particles just gain or lose energy.
The mistake that costs marks

Particles do not melt, expand or change when a substance changes state. An ice particle is a water particle is a steam particle. What changes is the energy, spacing and movement of the particles — never the particles themselves.

1.2Changing state

SOLIDLIQUIDGAS meltingevaporating / boiling freezingcondensing add energy (heat) → · remove energy (cool) ←
Figure 1.2 — the four everyday state changesHeating gives particles more energy so they break away from each other; cooling does the reverse. One extra word worth knowing: sublimation is solid straight to gas (dry ice does this) without ever being a liquid.
  • Melting — solid → liquid, at the melting point (ice: 0 °C).
  • Evaporating / boiling — liquid → gas. Evaporation happens from the surface at any temperature; boiling happens throughout the liquid at the boiling point (water: 100 °C).
  • Condensing — gas → liquid. Why a cold drink "sweats" on a hot day.
  • Freezing — liquid → solid, at the same temperature as melting.
  • Diffusion — particles of a gas or liquid spreading out and mixing by their own random movement — why perfume crosses a room.
Unit 2AC9S8U06Atoms · Elements · Symbols

Atoms and elements: the ingredients of everything

An atom is the smallest particle of matter that keeps its identity. An element is a substance made of only one kind of atom — and there are only about 118 of them, listed in the periodic table.

2.1Symbols: chemistry's alphabet

Every element has a one- or two-letter symbol. The first letter is always a capital, the second is always lowercase — Co is cobalt but CO is carbon monoxide, a compound of two elements. Some symbols come from Latin names, which is why they look nothing like the English word.

ElementSymbolElementSymbol
HydrogenHChlorineCl
HeliumHeIron (Latin ferrum)Fe
CarbonCCopper (cuprum)Cu
NitrogenNZincZn
OxygenOSilver (argentum)Ag
Sodium (natrium)NaGold (aurum)Au
MagnesiumMgMercury (hydrargyrum)Hg
AluminiumAlLead (plumbum)Pb
SulfurSCalciumCa
Potassium (kalium)KSiliconSi

2.2Metals and non-metals

Metals (left side of the table)Non-metals (right side)
Shiny when polishedDull
Conduct heat and electricityInsulators (except graphite)
Malleable — can be hammered into shapeBrittle when solid
Mostly solid at room temperature (mercury is the liquid exception)Often gases; bromine is the liquid exception
Examples: iron, copper, gold, sodiumExamples: oxygen, carbon, sulfur, chlorine
Worth knowing

About three quarters of all elements are metals. Your body is mostly made of just six elements — oxygen, carbon, hydrogen, nitrogen, calcium and phosphorus — and the calcium in your bones and the iron in your blood were made inside dying stars.

Unit 3AC9S8U06Compounds · Formulas

Compounds: when elements join up

A compound is two or more elements chemically bonded in a fixed ratio. It is a genuinely new substance: sodium is a metal that explodes in water, chlorine is a poisonous green gas — bonded together they are table salt.

3.1Element, compound or mixture? Read the particles

ELEMENTELEMENTCOMPOUNDMIXTURE one kind of atom, aloneone kind of atom, in pairs different atoms bondeddifferent substances, not bonded e.g. heliume.g. oxygen O₂ e.g. water H₂Oe.g. air
Figure 3.1 — the four pictures exams loveThe question is always "which box shows a compound?" Look for different colours joined together. If different particles are in the same box but not touching, it is a mixture.

3.2Reading a formula

A formula counts atoms. The little number applies only to the symbol just before it: H₂O is two hydrogens and one oxygen; CO₂ is one carbon and two oxygens. No number means one.

CompoundFormulaMade of
WaterH₂O2 hydrogen + 1 oxygen
Carbon dioxideCO₂1 carbon + 2 oxygen
Table salt (sodium chloride)NaCl1 sodium + 1 chlorine
Methane (natural gas)CH₄1 carbon + 4 hydrogen
GlucoseC₆H₁₂O₆6 carbon + 12 hydrogen + 6 oxygen
Compound vs mixture — the three differences

Bonding: in a compound the elements are chemically joined; in a mixture they just share space.

Ratio: a compound has a fixed recipe (water is always H₂O); a mixture can be any proportion.

Separating: a mixture can be separated physically (filter, evaporate); a compound needs a chemical reaction to break apart.

Unit 4AC9S8U06Solutions · Separation techniques

Mixtures, and how to un-mix them

Because the parts of a mixture are not bonded, you can always get them back — if you pick the technique that matches the property that makes the parts different.

4.1Solution words

  • A solution is a mixture where one substance has dissolved in another — you cannot see the parts. Salt water is the classic.
  • The solute is what dissolves (the salt). The solvent is what it dissolves in (the water).
  • Soluble means it can dissolve; insoluble means it cannot (sand in water).
  • A suspension is an insoluble solid floating through a liquid — muddy water. It settles if you wait.

4.2Pick the right separation

WHAT IS DIFFERENT about the two parts? one part is magnetic solid won't dissolve solid IS dissolved two liquids, different coloured dyes boiling points MAGNET FILTRATION EVAPORATION DISTILLATION CHROMATOGRAPHY iron filings outof sand sand out ofsalt water salt back fromsalt water pure water out ofsea water (keep both) the dyes hidingin black ink uses magnetism uses particle size solvent leaves as gas evaporate, then condense dyes travel at different speeds
Figure 4.1 — five techniques, one decisionEvery separation question is really asking: what property is different? Filtration only works because sand particles are too big for the paper's holes; evaporation only works because the solvent boils away and the solute does not. Distillation is evaporation plus condensing, for when you want to keep the liquid too.
Worth knowing

This is real, everyday engineering: water treatment plants filter your tap water, sea-salt farms evaporate ocean water in open pans, and forensic scientists use chromatography to match ink on a ransom note to a suspect's pen.

Unit 5AC9S8U07Physical vs chemical change

Physical or chemical? The most-asked question

In a physical change the substance stays the same substance — only its shape, size or state changes, and you can usually undo it. In a chemical change a new substance forms, and there is usually no going back.

5.1Two changes, side by side

warm cool — reversible ice (H₂O)water (H₂O) PHYSICAL — same substance burns in oxygen not reversible magnesium (Mg)magnesium oxide (MgO) white powder — a NEW substance CHEMICAL — new substance made
Figure 5.1 — melting vs burningMelted ice is still water; you can freeze it back tonight. Burned magnesium is not magnesium any more — it has bonded with oxygen and become a different compound with different properties. "Can I get the original substance back by cooling, drying or filtering?" is the test.

5.2The five indicators of a chemical change

  1. A permanent colour change — toast browning, a copper roof turning green.
  2. A gas is produced (bubbles) when nothing was boiling — sherbet fizzing on your tongue, vinegar on bicarb.
  3. A precipitate forms — two clear liquids make a solid that clouds the mixture.
  4. Temperature changes by itself — the mixture gets hot (exothermic) or cold (endothermic) without a stove.
  5. Light or sound is given off — a firework, a glow stick, a burning match.
Full-mark answers name the evidence

"Burning is a chemical change" is one mark. "Burning is a chemical change because a new substance (ash and carbon dioxide) is made, energy is released as heat and light, and you cannot get the wood back" is three. Always attach the indicator.

Conservation of mass

In every change, physical or chemical, atoms are never created or destroyed — they only rearrange. Burn 24 g of magnesium in 16 g of oxygen and you get exactly 40 g of magnesium oxide. If a burning log "loses" mass, the missing mass left as smoke and gas.

Start hereYear 8 SciencePhysical sciences

Energy: nothing happens without it.

Four units on what energy is, the forms it takes, and how it moves and changes — built from the Year 8 Australian Curriculum description AC9S8U05.

The mapFour units

  1. Forms of energy — kinetic and potential, and the family of forms under each.
  2. Energy transfer — energy moving from one object to another, without changing form.
  3. Energy transformation — energy changing form, and how to draw a flow diagram of it.
  4. Efficiency and conservation — where the "lost" energy really goes.
What Year 8 Physics is actually assessed on

AC9S8U05 — classify different types of energy as kinetic or potential, and investigate energy transfer and transformations in simple systems.

Unit 1AC9S8U05Kinetic · Potential

Every form of energy is one of two kinds

Kinetic energy is the energy of things that are moving. Potential energy is stored energy — energy waiting because of position, shape or chemical make-up. Every other name you will meet is a member of one of these two families.

1.1The two family trees

ENERGY KINETIC the energy of movement POTENTIAL stored, waiting energy MovementThermal (heat)SoundElectrical GravitationalElasticChemicalNuclear a runner hot particles vibrating air current in a wire held up high a drawn bow food and fuel the Sun's core Light (radiant energy) also travels as movement — count it with the kinetic family.
Figure 1.1 — the energy family treeThe exam question is nearly always "is this kinetic or potential?" Ask: is it moving now (kinetic) or stored for later (potential)? A stretched bow is potential; the arrow in flight is kinetic.
Heat is a kinetic energy

Thermal energy is the movement of particles — a hot object's particles vibrate faster. That makes it kinetic, even though the object itself is sitting still. Same logic for sound (vibrating particles) and electricity (moving charges).

Unit 2AC9S8U05Transfer between objects

Energy transfer: same form, new owner

A transfer moves energy from one object to another without changing its form. A cue ball hits the eight ball: movement energy simply changes hands.

2.1Three ways heat travels

hot water handle warms last hot rises cool sinks heat below rays — no particles needed CONDUCTIONCONVECTIONRADIATION particle bumps particle, through solids currents in liquids and gases how the Sun reaches us across space
Figure 2.1 — conduction, convection, radiationThree transfers, one direction: heat always flows from hotter to colder, never the reverse. A cold drink doesn't "let the cold out" — heat from the room flows in.
  • Conduction — vibrating particles bump their neighbours, passing energy along. Works best in solids; metals are superb at it, which is why a metal seat feels colder than a wooden one at the same temperature.
  • Convection — in liquids and gases, warm fluid expands, becomes less dense and rises; cooler fluid sinks to replace it, making a loop. Why heaters go near the floor and air conditioners near the ceiling.
  • Radiation — energy travelling as rays that need no particles at all. The only transfer that works through empty space.
  • An insulator is a material heat crosses slowly — wool, foam, trapped air. That is the whole science of a puffer jacket.
Unit 3AC9S8U05Changing form · Flow diagrams

Transformation: energy changing its form

A transformation changes energy from one form into another. A torch transforms chemical energy into electrical energy, then into light. Writing that chain as a flow diagram is a guaranteed exam question.

3.1The skater: one story, told twice

TOP — still BOTTOM — fastest TOP again halfway all gravitational potential all kinetic all potential again half and half potential → kinetic → potential → kinetic … each pass is slightly lower — friction is transforming a little into heat and sound every lap
Figure 3.1 — potential and kinetic trading placesHeight buys potential energy; falling spends it as speed. The skater slowly sinks lower each pass because friction keeps skimming a share off into heat and sound — the energy is not lost, just moved into forms the skater can't use.

3.2Flow diagrams: the exam's favourite

Write the forms in order with arrows. Name the object above the arrow if you can.

SystemEnergy flow diagram
Torchchemical (battery) → electrical → light + thermal
Eating then sprintingchemical (food) → kinetic (muscles) + thermal
Toasterelectrical → thermal + light
Bow and arrowelastic (bent bow) → kinetic (arrow)
Coal power stationchemical → thermal → kinetic (turbine) → electrical
Solar panellight → electrical
Loudspeakerelectrical → sound + thermal
Transfer or transformation?

Ask one question: did the form change? Cue ball to eight ball — movement stays movement: transfer. Battery to glowing bulb — chemical became light: transformation. Most real systems do both at once.

Unit 4AC9S8U05Conservation · Efficiency

Nothing is lost: conservation and efficiency

The law of conservation of energy: energy cannot be created or destroyed, only transferred or transformed. So where does the energy "go" when a device wastes it?

4.1Useful energy and wasted energy

100 J electrical IN into an old-style light bulb 10 J light — USEFUL 90 J heat — WASTED spreads into the room and cannot be gathered back 10 out of 100 useful → efficiency = 10% an LED doing the same job: about 90% efficient
Figure 4.1 — where the 100 joules wentThe widths tell the story: in, and out, always add to the same total. "Wasted" energy is not destroyed — it is transformed into a form you didn't want (nearly always heat) and spread too thinly to use.
The efficiency formula

Efficiency = useful energy out ÷ total energy in × 100

An old bulb turning 100 J of electricity into 10 J of light is 10 ÷ 100 × 100 = 10% efficient. Every device on Earth is less than 100% — some energy always escapes as heat or sound.

Worth knowing

This is why your phone warms up while gaming, why electric kettles are the rare near-100% device (their "waste" heat IS the job), and why a car engine at ~30% efficiency needs a radiator to dump the other 70%.

Start hereYear 8 ScienceEarth & space sciences

Rocks: the slowest recycling on Earth.

Four units on the three rock families, the cycle that turns each into the others, and the deep time it takes — built from the Year 8 Australian Curriculum description AC9S8U04.

The mapFour units

  1. Igneous rocks — born from cooling magma and lava, and why crystal size gives away where they formed.
  2. Sedimentary rocks — layers of squashed fragments, and the only family that keeps fossils.
  3. Metamorphic rocks — rocks cooked and squeezed into new ones without melting.
  4. The rock cycle and deep time — how each family becomes the others over millions of years.
What Year 8 Earth & Space is actually assessed on

AC9S8U04 — compare the processes of rock formation, including the timescales involved, for igneous, sedimentary and metamorphic rocks, and describe the rock cycle.

Unit 1AC9S8U04Igneous · Crystals

Igneous rocks: frozen fire

Igneous rocks form when molten rock cools and hardens. Underground it is called magma; the moment it erupts onto the surface it is called lava. Same stuff, two names, one rule to remember.

1.1Cooling speed writes the crystal size

Magma chamberMagma rising Lava — erupted magmaCooling slowly underground molten rock below ground cools in dayscools over thousands of years tiny crystals — cooled FAST EXTRUSIVE — e.g. basalt big crystals — cooled SLOWLY INTRUSIVE — e.g. granite
Figure 1.1 — where an igneous rock cools decides what it looks likeCrystals need time to grow. Intrusive rock (cooled slowly, underground, over thousands of years) grows big visible crystals — granite. Extrusive rock (lava cooled in days at the surface) freezes before crystals can grow — basalt's are too small to see. One glance at crystal size tells you the rock's life story.
Worth knowing

Pumice is lava that cooled so fast around gas bubbles that it froze as stone foam — the only rock that floats. Obsidian cooled faster still: no crystals at all, just natural black glass, once prized for blades sharper than steel.

Unit 2AC9S8U04Layers · Fossils

Sedimentary rocks: history in layers

Rain, wind and ice grind rocks into fragments. Rivers carry the fragments to lakes and seas, where they settle in layers — and over millions of years the layers become sedimentary rock.

2.1Four steps, millions of years

1 WEATHERING2 EROSION3 DEPOSITION4 COMPACTION rain, wind, ice and heatrivers, wind and glaciers fragments settle in flatweight squeezes layers; crack rock into fragmentscarry the fragments away layers under waterminerals glue them into rock
Figure 2.1 — from mountain to mudstoneWeather it, move it, drop it, squash it. The gluing step has its own name — cementation — dissolved minerals crystallise between the grains and lock them together. Sandstone, mudstone, limestone and coal all formed this way, layer on layer, oldest at the bottom.
Why fossils are only in sedimentary rock

A creature buried gently in soft sediment can leave its shape as the layers harden around it. Igneous rock starts as molten magma — anything in it burns. Metamorphic rock is cooked and squeezed — any fossil is destroyed. So a rock with a fossil is sedimentary, every time. Two marks, almost every paper.

Unit 3AC9S8U04Heat + pressure, no melting

Metamorphic rocks: cooked, not melted

Bury any rock deep enough and the Earth will remake it. Metamorphic means "changed form": intense heat and pressure rearrange a rock's crystals into a new rock — without ever melting it. Melting would make magma, and that path leads back to igneous.

3.1Before and after

Starts asHeat + pressure makeWorth knowing
Limestone (sedimentary)MarbleThe sculptor's stone — the crystals fuse smooth
Mudstone / shale (sedimentary)SlateSplits into flat sheets — old roof tiles and blackboards
Sandstone (sedimentary)QuartziteMuch harder than the sandstone it was
Granite (igneous)GneissSay "nice" — minerals squeezed into stripy bands
  • The heat comes from depth and from nearby magma; the pressure comes from kilometres of rock above and from colliding tectonic plates.
  • Pressure often flattens the new crystals into stripes or sheets — that banding is a metamorphic giveaway.
  • The change happens in the solid state, over thousands to millions of years.
The line students blur

"Heated until it melts" is never metamorphism. Melted rock is magma, and magma cools into igneous rock. Metamorphic rock is changed while still solid — cooked like clay in a kiln, which hardens into pottery without ever being liquid.

Unit 4AC9S8U04The rock cycle · Deep time

The rock cycle: every rock is another rock's future

No rock is permanent. Given heat, pressure, weather and enough time, each family turns into the others. The whole diagram below runs on two engines: the Sun (driving weather) and the Earth's inner heat (driving melting and metamorphism).

4.1The cycle

MAGMA IGNEOUS SEDIMENTARY METAMORPHIC SEDIMENT molten rock granite, basalt sandstone, limestone marble, slate loose fragments cooling &hardening weathering & erosion burial, compaction & cementation melting,deep down heat + pressure heat + pressure weathering too melting
Figure 4.1 — the rock cycleFollow any path: magma cools to igneous; weather grinds it to sediment; burial cements it to sedimentary; heat and pressure cook it to metamorphic; deep melting returns it to magma. Every arrow also works on the other families — any rock at the surface weathers, any rock buried deep enough melts.

4.2Deep time

The cycle's clock does not tick in years. Lava can freeze to basalt in days, but growing granite's crystals takes tens of thousands of years, stacking sediment into stone takes millions, and one full lap of the cycle can take hundreds of millions of years. Geologists call this deep time.

Scale it down: if Earth's 4.5-billion-year history were one calendar year, the dinosaurs die on Boxing Day, and all of recorded human history fits into the last 30 seconds of New Year's Eve.

The comparison table markers want

Igneous: molten rock cools — days (extrusive) to thousands of years (intrusive). Sedimentary: fragments compacted and cemented — millions of years. Metamorphic: existing rock changed by heat and pressure without melting — thousands to millions of years. Name the process AND the timescale for full marks.

Start hereYear 8Mathematics

Year 8 Maths: the six skills everything else uses.

Six units covering the core of the Year 8 Australian Curriculum: integers, index laws, percentages and ratios, algebra, linear graphs, and measurement.

The mapSix units

  1. Integers — negative numbers without fear, and the order of operations.
  2. Index laws — powers, and the three shortcuts for combining them.
  3. Percentages & ratios — discounts, increases, and sharing in a ratio.
  4. Algebra — simplifying expressions, expanding brackets, solving equations.
  5. Linear graphs — plotting lines and reading gradient and intercept from y = mx + c.
  6. Measurement — circle circumference and area, and volume of prisms.
How to study maths (it is different)

Reading maths does almost nothing — doing it is everything. Do every drill with a pencil and paper beside you, and when you get one wrong, redo it by hand before moving on. Ten minutes of working problems beats an hour of reading them.

Unit 1AC9M8NIntegers · Order of operations

Integers: the rules for negatives

Negative numbers behave perfectly once you know three rules — and the number line settles every argument.

1.1Adding and subtracting

-6-5-4-3-2-1 0 123456 -2 + 5 = 3 (start at -2, walk 5 right) subtract = walk LEFT add = walk RIGHT
Figure 1.1 — the number line settles everythingAdding walks right, subtracting walks left. When two signs sit side by side, squash them first: + (−) becomes , and − (−) becomes +. So 4 − (−3) = 4 + 3 = 7.

1.2Multiplying and dividing

SignsAnswer's signExample
same × same (both + or both −)positive(−4) × (−3) = 12
different (+ and −)negative6 × (−5) = −30
same rule for division (−20) ÷ 4 = −5,  (−20) ÷ (−4) = 5
Order of operations — BIDMAS

Brackets, Indices, Division and Multiplication (left to right), Addition and Subtraction (left to right).

3 + 4 × 2 = 11, never 14. And (3 + 4) × 2 = 14 — brackets are how you demand the addition happens first.

Unit 2AC9M8NPowers · Index laws

Index laws: three shortcuts for powers

An index (power) counts repeated multiplication: 2⁴ means 2 × 2 × 2 × 2 = 16. The three laws below are just what happens when you write the multiplications out — learn them as patterns, check them by expanding.

2.1The three laws

LawRuleWhy it works
Multiplyingaᵐ × aⁿ = aᵐ₊ⁿ2³ × 2² = (2·2·2)(2·2) = 2⁵
Dividingaᵐ ÷ aⁿ = aᵐ⁻ⁿ2⁵ ÷ 2² = cancel two 2s = 2³
Power of a power(aᵐ)ⁿ = aᵐⁿ(2³)² = 2³ × 2³ = 2⁶
Zero indexa⁰ = 12³ ÷ 2³ = 1, and the law says 2⁰
The two classic slips

2³ is not 6. It is 2 × 2 × 2 = 8. Powers multiply, they don't times-the-little-number.

The laws need the same base. 2³ × 5² cannot be combined — different bases, no shortcut.

Unit 3AC9M8NPercentages · Ratios · Rates

Percentages and ratios: the shopping unit

Discounts, mark-ups, mixing cordial and splitting prize money — this is the maths you will actually use weekly for the rest of your life.

3.1Percentage of an amount

  1. Turn the percentage into a decimal (divide by 100): 35% → 0.35.
  2. Multiply: 35% of $80 = 0.35 × 80 = $28.
  3. Discount? Subtract from the original: $80 − $28 = $52. Shortcut: a 35% discount means you pay 65%, so 0.65 × 80 = $52 in one step.
  4. Increase? Same shortcut upward: a 10% rise means paying 110%, so × 1.10.

3.2Sharing in a ratio

The three-step recipe

Share $60 between two people in the ratio 2 : 3.

1. Add the parts: 2 + 3 = 5 parts. 2. One part = 60 ÷ 5 = $12. 3. Multiply out: 2 × 12 = $24 and 3 × 12 = $36. Check: 24 + 36 = 60 ✓

  • Simplify a ratio like a fraction: 12 : 18 → divide both by 6 → 2 : 3.
  • A rate compares different units: 180 km in 2 hours = 90 km/h. Divide to get the "per one".
  • Best buy: work out the price per unit for each option and pick the smaller. 500 g for $6 (1.2 c/g) beats 300 g for $4.20 (1.4 c/g).
Unit 4AC9M8AExpressions · Equations

Algebra: letters are just unknown numbers

Every algebra rule is an arithmetic rule wearing a disguise. If a step looks wrong, test it with numbers: does it work when x = 5?

4.1The four skills

SkillRuleExample
Collect like termsOnly identical letter-parts combine3x + 5x − 2 = 8x − 2 (the 2 stays alone)
Multiply termsMultiply numbers, join letters4a × 3b = 12ab
Expand bracketsMultiply everything inside by the front3(x + 4) = 3x + 12
Solve equationsUndo, same thing to both sides2x + 3 = 11 → 2x = 8 → x = 4
Solving = unwrapping

The equation wraps x in operations; you unwrap in reverse order, doing the same to both sides. For 2x + 3 = 11: the last thing done to x was "+3", so subtract 3 first (2x = 8), then undo "×2" by dividing (x = 4). Always check: 2(4) + 3 = 11 ✓ — a free mark, every time.

The classic slip

3(x + 4) is 3x + 12, not 3x + 4. The 3 multiplies everything in the bracket — draw the two arrows if it helps.

Unit 5AC9M8Ay = mx + c

Linear graphs: reading y = mx + c

Every straight line has an equation of the form y = mx + c. Two numbers tell you everything: m, the gradient (steepness), and c, where the line crosses the y-axis.

5.1A live graph you can edit

Figure 5.1 — y = 2x + 1, plotted liveHover the line: at x = 0 it passes (0, 1) — that is c = 1, the y-intercept. Move 1 to the right and it climbs by 2 — that is m = 2, the gradient. A negative m slopes downhill; m = 0 is a flat horizontal line.

5.2What m and c each do

Figure 5.2 — changing m, changing cy = 2x + 1 and y = 5x + 1 cross the y-axis at the same point but y = 5x + 1 is steeper. y = 2x + 1 and y = 2x − 3 have the same steepness — parallel — but cross the y-axis at different heights.
  1. To plot a line: make a small table. For y = 2x + 1, x = 0 gives y = 1, x = 1 gives 3, x = 2 gives 5. Plot the points, rule the line.
  2. To read a graph: c is where it crosses the y-axis; m is rise ÷ run between any two grid points.
  3. To check a point is on a line: substitute. Is (3, 7) on y = 2x + 1? 2(3) + 1 = 7 ✓ yes.
Unit 6AC9M8MCircles · Area · Volume

Measurement: circles and prisms

Two circle formulas, one volume rule, and knowing which is which. The classic error is mixing up circumference and area — the figure below is built to stop that.

6.1The circle, labelled

Circumference the distance around Radius r — centre to edgeDiameter d — edge to edge through the centre centre d = 2r THE TWO FORMULAS C = π × d distance around — a length, in cm A = π × r² space inside — an area, in cm² e.g. d = 10 cm → C = 3.14 × 10 ≈ 31.4 cm e.g. r = 5 cm → A = 3.14 × 25 ≈ 78.5 cm² π (pi) ≈ 3.14 — the same for every circle ever drawn
Figure 6.1 — radius, diameter, and the two formulasCircumference uses the diameter (C = πd); area uses the radius, squared (A = πr²). If the question gives you the diameter and asks for area, halve it first — that halving is the most-forgotten step in Year 8.

6.2Volume of a prism

One rule covers every prism

Volume = area of the end face × length.

A box 5 cm × 3 cm × 10 cm: end face 5 × 3 = 15 cm², so V = 15 × 10 = 150 cm³. A cylinder is just a circular prism: V = πr² × height. Volume is always in cubic units.

  • Area of a triangle = ½ × base × height, so a triangular prism's volume = ½bh × length.
  • Units stack with the dimension: length cm, area cm², volume cm³. Writing the wrong unit loses a mark even with the right number.
  • 1 cm³ holds exactly 1 mL — volume and capacity are the same idea.
Start hereYear 9 ScienceBiological sciences

Control systems, and the systems nothing controls.

Four units: how your body detects and responds to change (nerves and hormones), and how ecosystems balance themselves with no controller at all — built from AC9S9U01 and AC9S9U02.

The mapFour units

  1. The nervous system — neurons, the stimulus–response chain, and the reflex arc.
  2. Hormones and homeostasis — the endocrine system, and negative feedback with blood glucose as the star example.
  3. Ecosystems — biotic and abiotic factors, and who eats whom: chains and webs.
  4. Energy and matter — why food chains are short, and how carbon cycles forever.
What Year 9 Biology is actually assessed on

AC9S9U01 — the nervous and endocrine systems coordinate responses to changes in the internal and external environment.

AC9S9U02 — ecosystems consist of interdependent communities and their abiotic environment; matter cycles and energy flows through them.

Unit 1AC9S9U01Neurons · Reflex arc

The nervous system: fast wiring

Electrical messages at up to 120 metres per second, along dedicated cells, to exactly one destination. The nervous system is the body's fast, precise, short-lived control channel.

1.1The chain every response follows

STIMULUSRECEPTORSENSORY CNSMOTOREFFECTOR a changedetects itneuron carries in brain / spinal cordneuron carries outmuscle or gland hot pan under handskin heat sensorimpulse to spine decision (or reflex)impulse to armbicep pulls — RESPONSE
Figure 1.1 — stimulus to responseSeven steps, in exam order: stimulus → receptor → sensory neuron → CNS → motor neuron → effector → response. The CNS (brain + spinal cord) is the only place a decision can happen; everything else is wiring.
  • A neuron is a nerve cell: branched dendrites collect the signal, the long axon carries it, often wrapped in a fatty myelin sheath that speeds it up.
  • Neurons never quite touch. The gap is a synapse, crossed by chemical messengers — this is where the signal briefly becomes chemistry.
  • Receptors by sense: light → eye, sound and balance → ear, chemicals → nose and tongue, touch/heat/pain → skin.

1.2The reflex arc: skipping the brain

Why you move before you feel the pain

For dangerous stimuli, the sensory neuron connects — through a tiny relay neuron — straight to a motor neuron in the spinal cord. The response fires in about 50 milliseconds, and the "ouch" reaches your brain afterwards. A reflex is automatic, involuntary, and protective: hand off the hotplate, blink at a flying insect, knee-jerk at the doctor.

Unit 2AC9S9U01Hormones · Negative feedback

Hormones: the slow broadcast

The endocrine system is the body's second control channel: hormones, chemical messengers released by glands into the blood, reaching everywhere, acting slowly, lasting long.

2.1Nerves vs hormones

Nervous systemEndocrine system
MessengerElectrical impulseChemical hormone
Travels byNeuronsThe bloodstream
SpeedMillisecondsSeconds to days
TargetOne precise spotEvery cell with the right receptor
Effect lastsVery brieflyLong — minutes to years
ExamplePulling hand off a hotplateGrowth; puberty; blood sugar control
  • Pancreas → insulin (lowers blood glucose) and glucagon (raises it).
  • Adrenal glands → adrenaline: the fight-or-flight surge — faster heart, wider airways, glucose released.
  • Thyroid → thyroxine: sets the body's idle speed (metabolism).
  • Pituitary → growth hormone, and the "master gland" signals that run other glands.

2.2Negative feedback: the thermostat trick

SET POINT normal blood glucose TOO HIGH after a meal Pancreas releases INSULIN cells absorb glucose; liver stores it glucose falls back eating raises glucose TOO LOW missed lunch, hard exercise Pancreas releases GLUCAGON liver releases stored glucose glucose rises back Every correction pushes the level back toward the set point — that push-back is what makes the feedback "negative".
Figure 2.1 — blood glucose on a leashWhichever way glucose drifts, the pancreas releases the hormone that pushes it back: insulin down, glucagon up. This is negative feedback — the engine of homeostasis. In type 1 diabetes the insulin arrow is missing, which is why glucose must be managed by injection.
Unit 3AC9S9U02Biotic · Abiotic · Food webs

Ecosystems: everything eats, everything depends

An ecosystem is a community of living things plus the non-living world they share — and the network of who-eats-whom that ties it all together.

3.1The cast list

  • Biotic factors are the living parts: plants, animals, fungi, bacteria — and their interactions (predation, competition).
  • Abiotic factors are the non-living conditions: sunlight, temperature, water, soil, shelter.
  • Producers (plants, algae) make their own food by photosynthesis. Every chain starts with one.
  • Consumers eat others: herbivores eat plants, carnivores eat animals, omnivores eat both.
  • Decomposers (fungi, bacteria) break down the dead and return nutrients to the soil — the recyclers nothing works without.

3.2A food web, read properly

GRASS GrasshopperRabbitKangaroo Lizard Wedge-tailed eagleDingo producer herbivoreherbivoreherbivore carnivoretop predatortop predator ARROW = "is eaten by" it points the way the energy flows
Figure 3.1 — a grassland food webEach straight path through the web is a food chain (grass → grasshopper → lizard → eagle). The arrow always points from the food to the eater — the direction energy travels. Remove one species and count the arrows touching it to predict the damage: lose the rabbits, and eagles and dingoes both lean harder on everything else.
The question they always ask

"What happens to X if Y disappears?" Trace the arrows both ways: Y's food has fewer eaters (its numbers may rise), Y's predators lose a food source (their numbers may fall, or they switch prey and pressure a third species). Name both directions for full marks.

Unit 4AC9S9U02Energy flow · Matter cycles

Energy flows through; matter goes around

Two different journeys through the same ecosystem. Energy arrives as sunlight, moves up the chain, and leaks away as heat — a one-way street. Matter (carbon, water, nitrogen) is never lost — it loops forever.

4.1The energy pyramid

PRODUCERS — grass · 100,000 units HERBIVORES — grasshoppers · 10,000 CARNIVORES — lizards · 1,000 TOP PREDATORS — eagles · 100 ~90% lost as heat ~90% lost again and again and again Movement, keeping warm, and waste burn about 90% of the energy at every level — only ~10% is passed on. That is why chains rarely run longer than four or five links.
Figure 4.1 — why food chains are shortEach level keeps only about 10% of the energy below it — the rest is spent living and leaves as heat. After four transfers there is not enough left to feed another level, and it also explains why top predators are always rare.

4.2Matter loops: carbon in four moves

  1. Photosynthesis pulls carbon dioxide out of the air and locks the carbon into plant sugar.
  2. Feeding passes that carbon up the chain, body to body.
  3. Respiration — by plants, animals AND decomposers — breathes carbon dioxide back out.
  4. Decomposition returns the carbon in dead bodies and waste to the soil and air, ready to be used again. (Burning fossil fuels is a fifth, human-added move: it releases carbon that was locked away for millions of years.)
Worth knowing

Almost every carbon atom in your body has been through this loop countless times — some of them were once in a dinosaur's breakfast. Matter cycles; only the energy is new each day, delivered fresh from the Sun.

Start hereYear 9 ScienceChemical sciences

Inside the atom, inside the reaction.

Four units: what atoms are made of, why the periodic table is arranged the way it is, and what really happens when substances react — built from AC9S9U06 and AC9S9U07.

The mapFour units

  1. Inside the atom — protons, neutrons, electrons, and the two numbers that describe any atom.
  2. The periodic table — why it has that shape, and what a column tells you.
  3. Chemical reactions — word equations, and why mass never changes.
  4. Reaction types — combustion, corrosion, acids at work, and energy in or out.
What Year 9 Chemistry is actually assessed on

AC9S9U06 — all matter is made of atoms composed of protons, neutrons and electrons; natural radioactivity arises from the decay of nuclei.

AC9S9U07 — chemical reactions rearrange atoms into new substances, mass is conserved, and reactions absorb or release energy.

Unit 1AC9S9U06Protons · Neutrons · Electrons

Inside the atom: three particles, two numbers

Last year the atom was the smallest thing. This year we open it: a tiny, dense nucleus of protons and neutrons, wrapped in shells of near-weightless electrons.

1.1A lithium atom, labelled

NucleusFirst shellElectron protons and neutronsholds up to 2 electronsnearly weightless, charge −1 Second shell holds up to 8 electrons THE THREE PARTICLES Proton — charge +1, mass 1, in the nucleus Neutron — charge 0, mass 1, in the nucleus Electron — charge −1, nearly no mass, in shells Lithium: 3 protons (red) · 4 neutrons (grey) · 3 electrons (blue) — shells fill as 2, then 1
Figure 1.1 — lithium, atom number 3The atom is electrically neutral because protons (+) and electrons (−) are equal in number. Electrons fill the inner shell first (up to 2), then the next (up to 8) — lithium's arrangement is written 2,1.

1.2The two numbers

NumberCountsFor lithium
Atomic numberProtons — this IS the element's identity3
Mass numberProtons + neutrons7
So: neutrons =mass number − atomic number7 − 3 = 4
And: electrons =protons (in a neutral atom)3
Radioactivity, in one paragraph

Some nuclei have an unstable mix of protons and neutrons. Sooner or later they decay — spitting out particles and energy (radiation) until they reach a stable form, sometimes becoming a different element in the process. That is natural radioactivity: not magic, just unstable nuclei settling down. It powers the Earth's inner heat and lets scientists date ancient rocks and fossils.

The identity rule

Change the number of neutrons and you get a heavier or lighter version of the same element. Change the number of protons and it is a different element entirely. Proton count is the element.

Unit 2AC9S9U06Groups · Periods

The periodic table: a map, not a list

Elements are arranged by atomic number, and the table's shape is doing real work: a period (row) adds electrons to the same outer shell; a group (column) collects elements with the same number of outer electrons — which is why families in a column behave alike.

2.1Three famous families

FamilyWhereBehaviour
Alkali metals (Li, Na, K)Group 1, far leftSoft metals that react violently with water — and get MORE violent going down the column
Halogens (F, Cl, Br, I)Group 17Reactive non-metals; form salts with metals (sodium + chlorine → table salt)
Noble gases (He, Ne, Ar)Group 18, far rightFull outer shells → almost completely unreactive. Why helium balloons are safe and hydrogen ones explode
  • Metals fill the left and centre (about three quarters of the table); non-metals sit top-right; a staircase of semi-metals divides them.
  • Same column = same outer-electron count = same chemistry family. That single idea is the table's superpower: it predicted undiscovered elements.
  • Reading a table cell: the small whole number is the atomic number (protons); the larger number is the (average) atomic mass.
Worth knowing

Dmitri Mendeleev built the table in 1869 by writing each element on a card and playing patience until the patterns lined up — then left gaps where the pattern demanded an element nobody had found. Gallium and germanium were discovered years later with almost exactly the properties his gaps predicted. That is what made chemists trust the table.

Unit 3AC9S9U07Word equations · Conservation

Reactions: atoms change partners, never number

A chemical reaction breaks some bonds and makes new ones. The atoms themselves are untouched — same atoms in, same atoms out, just rearranged into new substances.

3.1One reaction, drawn as atoms

methane CH₄ + oxygen 2 O₂ burning carbon dioxide CO₂ + water 2 H₂O BEFORE: 1 carbon · 4 hydrogens · 4 oxygens AFTER: 1 carbon · 4 hydrogens · 4 oxygens Same atoms, new partners — that is every chemical reaction ever.
Figure 3.1 — burning methane, atom by atomCount each colour on both sides: one carbon (dark), four hydrogens (blue), four oxygens (red). Nothing is created, nothing destroyed — which is exactly why mass is conserved in every reaction.

3.2Word equations

  • The starting substances are reactants; the new substances are products. The arrow means "react to make": reactants → products.
  • Methane + oxygen → carbon dioxide + water.
  • Iron + oxygen + water → hydrated iron oxide (rust).
  • Signs a reaction happened are the Year 8 five: colour change, gas, precipitate, temperature change, light/sound.
Conservation of mass, exam-style

Burn 4 g of methane in 16 g of oxygen inside a sealed container: the container still weighs exactly 20 g after. In an OPEN container a burning fuel seems to lose mass — because gas products escaped — and rusting iron seems to GAIN mass — because oxygen from the air joined it. Sealed system: mass never changes.

Unit 4AC9S9U07Combustion · Acids · Energy

Reaction types you must recognise

Four patterns cover most of what Year 9 meets: burning, rusting, acids doing their two party tricks, and the energy question — does the reaction give heat out, or drink it in?

4.1The four patterns

TypeGeneral patternEveryday example
Combustionfuel + oxygen → carbon dioxide + waterGas stove, car engine, campfire
Corrosion (rusting)iron + oxygen + water → rustA bike left in the rain; slow, needs BOTH air and water
Acid + metalacid + metal → salt + hydrogen gasThe squeaky-pop test lights the hydrogen
Acid + carbonateacid + carbonate → salt + water + carbon dioxideVinegar fizzing on bicarb; limewater turns the CO₂ milky

4.2Energy in, energy out

  • Exothermic reactions release energy — the mixture (and its surroundings) get hotter. Combustion, hand warmers, respiration.
  • Endothermic reactions absorb energy — the mixture gets colder. Instant cold packs, photosynthesis, baking soda + vinegar.
  • Test in one line: put a thermometer in. Temperature up → exo; down → endo.
Two classic mix-ups

Burning "uses up" nothing. The fuel's atoms all leave as carbon dioxide and water vapour — mass is conserved, it just left as gas.

Rust needs water AND oxygen. Iron in dry air, or under boiled (air-free) water, barely rusts. That is why the classic three-test-tube experiment works.

Start hereYear 9 SciencePhysical sciences

Waves and circuits: energy on the move.

Four units on how energy travels without matter travelling with it — as sound, as light, and as electric current — built from AC9S9U05.

The mapFour units

  1. Waves — the vocabulary: wavelength, frequency, amplitude, and the two wave shapes.
  2. Sound — vibrations that need a medium; pitch, loudness, and speed.
  3. Light — rays that need nothing; reflection, refraction, and colour.
  4. Electric circuits — current, voltage, resistance, and series vs parallel.
What Year 9 Physics is actually assessed on

AC9S9U05 — describe how energy is transferred through different mediums using wave and particle models, including sound, light and electricity.

Unit 1AC9S9U05Wavelength · Frequency · Amplitude

Waves: energy travels, matter stays

Drop a stone in a pond: the ripple crosses the water, but the water itself only bobs. A wave is exactly that — a travelling disturbance that carries energy from place to place without carrying the material.

1.1Anatomy of a wave

Wavelength — one full repeat (crest to crest) Amplitude rest position to crest — the wave's height Crest Trough Rest position Frequency = how many full waves pass per second, in hertz (Hz). Shorter wavelength at the same speed ⇒ higher frequency.
Figure 1.1 — the four words that describe any waveCrest (top), trough (bottom), wavelength (one full repeat), amplitude (height from rest). The fifth word, frequency, is how many waves pass per second — measured in hertz. Amplitude carries the energy; frequency sets the character (pitch of sound, colour of light).

1.2Two shapes of wave

TransverseLongitudinal
Particles vibrateUp and down, ACROSS the travel directionBack and forth, ALONG the travel direction
Looks likeRipples, a shaken ropeA pushed slinky: squashed zones (compressions) and stretched zones (rarefactions)
ExamplesLight, water ripplesSound
Unit 2AC9S9U05Vibrations · Pitch · Loudness

Sound: vibrations passed hand to hand

Everything that makes sound is vibrating. The vibration shakes the air particles next to it, they shake their neighbours, and a longitudinal wave of squashes and stretches crosses the room to your ear.

2.1The two dials: pitch and loudness

You hearThe wave propertyExample
High pitchHigh frequency (more vibrations per second)A piccolo, a mosquito — thousands of Hz
Low pitchLow frequencyA bass drum, thunder — tens of Hz
LoudLarge amplitude (bigger squashes)A shout — more energy in each wave
QuietSmall amplitudeA whisper
  • Humans hear roughly 20 Hz to 20,000 Hz. Dogs hear higher; whales and elephants rumble lower.
  • Sound needs a medium. No particles → nothing to pass the vibration → silence. Space is silent; the bell-in-a-vacuum-jar experiment proves it.
  • Speed depends on the medium: about 340 m/s in air, ~1,500 m/s in water, ~5,000 m/s in steel. Tighter-packed particles pass the shake faster — the old ear-on-the-railway-track trick.
  • Light travels about a million times faster than sound — so you see lightning, then count the seconds to the thunder (3 seconds ≈ 1 km).
  • An echo is sound reflected off a hard surface. Sonar and bat navigation both time the echo to measure distance.
Unit 3AC9S9U05Reflection · Refraction · Colour

Light: rays that need nothing

Light is a transverse wave that carries energy through empty space at 300,000 km per second — the universal speed limit. It travels in straight lines, which is why shadows are sharp and why we draw it as rays.

3.1Reflection and refraction, one diagram each

ir Incident ray Reflected ray Normal — the 90° reference line REFLECTION — angle i = angle r off a mirror, always measured from the normal glass — light slows down Ray in air Bent ray toward the normal REFRACTION — bending by slowing why a straw looks bent in a glass of water
Figure 3.1 — the two behaviours of light at a surfaceBoth angles are always measured from the normal (the dashed 90° line). Reflection: angle in = angle out, exactly. Refraction: entering a denser medium (air → glass or water) the light slows and bends toward the normal; leaving, it speeds up and bends away.
  • White light is a mix. A prism refracts each colour by a slightly different amount and fans it into a spectrum — dispersion. Raindrops do the same thing: a rainbow.
  • Red bends least, violet bends most.
  • A red apple looks red because it reflects red light and absorbs the other colours. A white object reflects them all; a black one absorbs them all (and warms up).
  • Materials are transparent (glass — light straight through), translucent (frosted glass — light through, scrambled), or opaque (wood — no light through; makes shadows).
Unit 4AC9S9U05Current · Voltage · Series vs parallel

Circuits: energy delivered by moving charge

A battery pushes charged particles around a closed loop of wire; whatever stands in the loop — a globe, a motor — taps energy off as they pass. Break the loop anywhere and everything stops.

4.1The three quantities

QuantityWhat it isUnitMeasured with
Current (I)How much charge flows per second — the trafficamperes (A)Ammeter, in the loop (in series)
Voltage (V)The push — energy given to each unit of chargevolts (V)Voltmeter, across a component (in parallel)
Resistance (R)How hard the component fights the flowohms (Ω)More resistance → less current for the same push

4.2Series vs parallel: the diagram that decides your house wiring

Globe 1 Globe 2 Battery SERIES — one single loop shared push — globes glow dimmer one blows → ALL go out Branch 1 Branch 2 PARALLEL — a branch each full voltage on every branch — full brightness one blows → the other stays lit
Figure 4.1 — series vs parallelSeries: one loop, shared push, and a single blown globe breaks the circuit for everyone. Parallel: every component gets the battery's full voltage on its own branch, and a failure only kills that branch — which is exactly why homes are wired in parallel.
Worth knowing

Conductors (metals) let charge flow because some of their electrons are free to move; insulators (plastic, rubber) hold theirs tight — hence metal wire in a plastic coat. A switch is just a deliberate break in the loop.

Start hereYear 9 ScienceEarth & space sciences

A planet in slow motion.

Four units: the Earth's layered inside, the drifting plates that explain earthquakes and volcanoes, the evidence that convinced everyone, and the carbon that circulates through the whole planet — built from the Year 9 Earth & space descriptions.

The mapFour units

  1. Inside the Earth — crust, mantle, core, and the plates floating on top.
  2. Plate boundaries — the three ways plates meet, and what each one builds or breaks.
  3. The evidence — how a "crazy" drifting-continents idea became accepted science.
  4. The carbon cycle — carbon moving between air, life, ocean and rock, and what burning fossil fuels changes.
What Year 9 Earth & Space is actually assessed on

The theory of plate tectonics explains global patterns of geological activity — earthquakes, volcanoes and mountain building — and Earth's spheres exchange carbon in a global cycle that human activity is now shifting.

Unit 1Plate tectonicsCrust · Mantle · Core

Inside the Earth: four layers, one engine

Nobody has drilled more than 12 km down — a scratch on a 6,371 km radius. Everything deeper is read from earthquake waves, and the picture is a layered planet with a heat engine at its heart.

1.1The layers

Crust — 5–70 km Mantle — hot rock that flows slowly Outer core — liquid iron and nickel Inner core — solid iron, ~5,500 °C the thin rocky skin we live on its convection currents drag the plates its churning makes Earth's magnetic field as hot as the Sun's surface Red loops in the mantle = convection currents — hot rock rises, cools, sinks: the engine that moves the plates.
Figure 1.1 — the layered EarthThe crust is proportionally thinner than an apple's skin. Below it the mantle is solid rock that nonetheless flows over millions of years, stirred by heat from the core — and that slow stirring is what drives everything in this course.

1.2The plates

  • The rigid outer shell is cracked into about fifteen tectonic plates that fit together like a spherical jigsaw, carrying continents and ocean floor alike.
  • They ride the mantle's convection currents at 2–10 cm a year — fingernail speed. Over 100 million years that is thousands of kilometres.
  • Almost all earthquakes and volcanoes happen at plate edges. Map the quakes and you have drawn the plate boundaries — the Pacific's ring of them is the famous Ring of Fire.
  • Australia sits mid-plate, which is why it has so few big quakes — and it is drifting north about 7 cm a year, fast enough that GPS maps must be corrected.
Unit 2Plate tectonicsThree ways plates meet

Plate boundaries: where the action is

Everything dramatic the Earth does — earthquakes, volcanoes, new ocean floor, the Himalayas — happens at one of three kinds of boundary. Learn the three arrows and you can explain the lot.

2.1The three boundaries

magma rises, makes new crust DIVERGENT — pull apart mid-ocean ridges · Iceland denser ocean plate dives under — subduction melted plate feeds volcanoes CONVERGENT — push together deep quakes · volcano chains · the Himalayas stick, then slip in jolts TRANSFORM — slide past shallow quakes · San Andreas
Figure 2.1 — the three boundary typesDivergent: plates part, magma fills the gap — new ocean floor. Convergent: plates collide; the denser one subducts, melts, and feeds a line of volcanoes — or two continents crumple into mountains. Transform: plates grind sideways, stick, and release in jolts — earthquakes with no volcanoes.
Explaining an earthquake, for full marks

Plates at a boundary do not glide smoothly — friction locks them while stress builds for decades. When the rock finally snaps, the stored energy releases as seismic waves: an earthquake. The snap point underground is the focus; the surface point directly above it is the epicentre. Name the locked plates, the stored stress, and the sudden release.

Unit 3Plate tectonicsHow the theory won

The evidence: how a laughed-at idea won

In 1912 Alfred Wegener claimed the continents drift. He was mocked for fifty years — he had the evidence but no engine. The story of how his idea became plate tectonics is the best case study in how science actually works.

3.1Four lines of evidence

  1. The jigsaw fit. South America and Africa's coastlines match like torn halves of one page — and they fit even better at the true continental edges under the sea.
  2. Matching fossils. The same land reptile (Mesosaurus) and the same fern (Glossopteris) are fossilised on continents now separated by oceans no land animal could cross. Either the animals swam the Atlantic — or the lands were joined.
  3. Matching rocks and mountains. Rock bands in eastern South America line up exactly with bands in western Africa; the Appalachians continue into the Scottish Highlands.
  4. The clincher: seafloor spreading. In the 1960s, surveys found mid-ocean ridges with brand-new rock at the crest and progressively older rock further away, in matching stripes on both sides. The ocean floor is a conveyor belt made at ridges and consumed in trenches — the missing engine, found.
Worth knowing

All the continents were once one supercontinent, Pangaea, which began breaking up about 200 million years ago. Run the movie forward instead: in another 250 million years they are forecast to merge again. And today the drift is not inferred — GPS measures it directly, centimetre by centimetre.

Why Wegener was rejected — the marker's favourite

Not because his evidence was weak, but because he had no mechanism: nobody could see what force ploughed continents through solid ocean floor. When mantle convection and seafloor spreading supplied the engine, the same evidence convinced everyone. Lesson: a scientific theory needs evidence and a mechanism, and it must convince the community.

Unit 4Earth systemsThe carbon cycle

The carbon cycle: one atom, four spheres

Carbon shuttles constantly between the air (atmosphere), living things (biosphere), water (hydrosphere) and rock (geosphere). The cycle balanced itself for millions of years — until one flow got a new contributor.

4.1The cycle

CO₂ IN THE AIR the atmosphere PLANTS the biosphere ANIMALS and decomposers THE OCEAN the hydrosphere FOSSIL FUELS the geosphere — coal, oil, gas photosynthesis feeding respiration absorbed / released burial, millions of years COMBUSTION CO₂ locked into sugar burning fossil fuels — the fast new flow Decomposition also returns CO₂ from dead matter to the air — via the same respiration arrow, run by decomposers.
Figure 4.1 — carbon's loopsThe fast loop — photosynthesis in, respiration out — balances on a timescale of years. The slow loop buries carbon as coal, oil and gas over millions of years. Combustion short-circuits the slow loop: carbon buried over 300 million years is returned to the air in a couple of centuries, which is why atmospheric CO₂ is rising.
  • The four spheres: atmosphere (air), biosphere (life), hydrosphere (water and ice), geosphere (rock and soil). The carbon cycle threads through all four.
  • The ocean holds far more carbon than the air and constantly trades CO₂ with it across the surface.
  • CO₂ is a greenhouse gas: it lets sunlight in but slows heat's escape. More CO₂ in the air means more trapped heat — the mechanism behind the warming climate.
  • Deforestation hits the cycle twice: fewer trees photosynthesising carbon in, and burning or rotting the wood sends its stored carbon out.
Start hereYear 9 MathematicsAC9M9

Four tools you'll use for years.

Index laws that tame huge numbers, algebra that multiplies brackets, live graphs you can bend with your own equations, and the two most famous triangle tools in mathematics — built from the Year 9 content descriptions.

The mapFour units

  1. Indices & scientific notation — the three index laws, zero and negative powers, and writing 149 000 000 km as 1.49 × 10⁸.
  2. Expanding & factorising — multiplying brackets out (including double brackets) and packing them back up.
  3. Linear graphs, live — gradient between any two points, parallel lines, and your first non-linear curve — on a graph you can edit.
  4. Pythagoras & trigonometry — finding missing sides of right-angled triangles two different ways.
What Year 9 Maths is actually assessed on

Applying the index laws to numbers and variables, expanding binomial products, finding the gradient and midpoint on the Cartesian plane, and solving right-angled triangles with Pythagoras' theorem and the trigonometric ratios.

Unit 1AC9M9N01Indices

Index laws & scientific notation

You met powers in Year 8. Year 9 makes them a machine: three laws that work for any base — numbers or letters — plus a way to write the size of the Sun without running out of page.

1.1The three laws

LawRuleWhy it worksExample
Multiplyingaᵐ × aⁿ = aᵐ⁺ⁿ3² × 3³ = (3×3)×(3×3×3) — five 3s in totalx⁴ × x³ = x⁷
Dividingaᵐ ÷ aⁿ = aᵐ⁻ⁿ3⁵ ÷ 3² cancels two of the five 3sx⁶ ÷ x² = x⁴
Power of a power(aᵐ)ⁿ = aᵐⁿ(3²)³ = 3² three times over — six 3s(x²)⁵ = x¹⁰
Zero powera⁰ = 1 (a ≠ 0)3² ÷ 3² = 1, and the law says it's 3⁰7⁰ = 1, x⁰ = 1
The classic trap

The laws need the same base. 2³ × 5² cannot be combined with an index law — just calculate it: 8 × 25 = 200. And aᵐ + aⁿ has no law at all: laws are for multiplying and dividing, never adding.

1.2Scientific notation

A number in scientific notation is written as (a number from 1 up to but not including 10) × (a power of 10). The power counts how many places the decimal point moved.

  1. Big numbers, positive power. 149 000 000 = 1.49 × 10⁸ — the point moved 8 places left.
  2. Small numbers, negative power. 0.00052 = 5.2 × 10⁻⁴ — the point moved 4 places right.
  3. Check the first part. 14.9 × 10⁷ is not scientific notation — 14.9 is too big; shift once more: 1.49 × 10⁸.
Unit 2AC9M9A02Algebra

Expanding & factorising

Expanding multiplies brackets out; factorising packs them back up. They are the same road driven in opposite directions — and the area model makes double brackets impossible to get wrong.

2.1Single brackets, both directions

  1. Expand: the outside term multiplies every term inside. 3(2x + 5) = 6x + 15. Watch signs: −2(x − 4) = −2x + 8.
  2. Factorise: pull out the highest common factor. 6x + 15 = 3(2x + 5). For 8x² + 12x the HCF is 4x: 4x(2x + 3).
  3. Check by expanding back. Factorising is only right if expanding your answer returns the original. This check takes ten seconds and catches everything.

2.2Double brackets: the area model

x + 3 x + 2 3x 2x 6 (x + 2)(x + 3) = x² + 3x + 2x + 6 = x² + 5x + 6
Figure 2.1 — (x + 2)(x + 3) as an areaThe rectangle's sides are x + 2 and x + 3, so its area is the product. The four regions are the four multiplications; adding them and collecting the two middle terms gives x² + 5x + 6.
  1. Every term in the first bracket multiplies every term in the second. (x + 2)(x + 3) = x² + 3x + 2x + 6.
  2. Collect the like terms in the middle. 3x + 2x = 5x, so the answer is x² + 5x + 6.
  3. Signs ride along. (x − 4)(x + 2) = x² + 2x − 4x − 8 = x² − 2x − 8.
Unit 3AC9M9A03Graphs

Linear graphs, live

Year 8 gave you y = mx + c. Year 9 asks for more: the gradient between any two points, the midpoint between them, spotting parallel lines — and a first meeting with a graph that isn't straight at all.

3.1Gradient from any two points

Between points (x₁, y₁) and (x₂, y₂): m = (y₂ − y₁) ÷ (x₂ − x₁) — rise over run. Between (1, 3) and (4, 9): m = (9 − 3) ÷ (4 − 1) = 6 ÷ 3 = 2. The midpoint is just the average of each coordinate: ((1+4)/2, (3+9)/2) = (2.5, 6).

Figure 3.1 — parallel lines share a gradienty = 2x + 1 and y = 2x − 4 climb at exactly the same rate, so the vertical gap between them never changes. Lines are parallel exactly when their gradients are equal.

3.2Your first curve

Figure 3.2 — y = x² meets y = 2x + 1The parabola y = x² is not a line: its gradient changes at every point — downhill on the left of 0, flat at the bottom (the turning point), then uphill and ever steeper. Year 10 lives here; Year 9 just needs to recognise it.
Unit 4AC9M9M03Triangles

Pythagoras & trigonometry

Two tools, one triangle. If you know two sides of a right-angled triangle, Pythagoras finds the third. If you know one side and one angle, trigonometry finds the rest.

4.1Pythagoras' theorem

a = 3 b = 4 c = 5 hypotenuse — always opposite the right angle c² = a² + b² c² = 3² + 4² = 9 + 16 = 25 c = √25 = 5
Figure 4.1 — the 3-4-5 triangleIn any right-angled triangle, the square on the hypotenuse equals the sum of the squares on the other two sides: c² = a² + b². The 3-4-5 triangle is the most famous example — and drawn here exactly to scale.
  1. Finding the hypotenuse: add. Sides 6 and 8: c² = 36 + 64 = 100, so c = 10.
  2. Finding a short side: subtract. Hypotenuse 13, one side 5: a² = 169 − 25 = 144, so a = 12.
  3. It only works with the right angle. No right angle, no Pythagoras — that's what the little square in the corner is telling you.

4.2SOH CAH TOA

θ adjacent the side touching θ (not the hypotenuse) opposite the side across from θ hypotenuse longest side, opposite the right angle
Figure 4.2 — naming the sides from θThe names depend on where the angle θ sits: opposite is across from it, adjacent touches it, and the hypotenuse is always the longest side. Then: sin θ = O/H, cos θ = A/H, tan θ = O/A — SOH CAH TOA.
  1. Label the sides from the angle you know (or want). Opposite, adjacent, hypotenuse.
  2. Pick the ratio that uses your two sides. Know the hypotenuse, want the opposite? That's O and H — sine.
  3. Solve. Hypotenuse 10, θ = 30°: opposite = 10 × sin 30° = 10 × 0.5 = 5.
Three exact values worth memorising

sin 30° = 0.5  ·  cos 60° = 0.5  ·  tan 45° = 1. Everything else, the calculator knows — just make sure it is in degrees mode.

Start hereYear 8 EnglishLanguage & texts

How English actually works.

Four units: the grammar that builds every sentence, the punctuation that can change a sentence's whole meaning, the tricks writers use to persuade you, and the devices that make stories and poems come alive — built from the Year 8 English language and literature descriptions.

The mapFour units

  1. The building blocks — word classes, phrases and clauses, and the three sentence types.
  2. Punctuation that changes meaning — apostrophes, commas, dialogue, and the homophones that trip everyone up.
  3. The art of persuasion — audience, purpose, and the techniques writers use to win you over.
  4. Stories and poetry — narrative structure, point of view, and figurative language.
What Year 8 English is actually assessed on

Can you control sentences and punctuation in your own writing, and can you name what a writer is doing — the persuasive technique, the narrative choice, the figure of speech — and say what effect it has on the reader?

Unit 1LanguageWords · Phrases · Clauses

The building blocks: words, phrases, clauses

Every sentence ever written is built from the same small kit of parts. Learn the parts and their names, and suddenly you can see how any sentence is put together — and how to fix one that isn't working.

1.1Word classes: the job a word is doing

Word classIts jobExamples
NounNames a person, place, thing or ideateacher, Sydney, bicycle, happiness
VerbAn action or a state of beingrun, devour, is, seems
AdjectiveDescribes a nounfragile, ancient, green
AdverbDescribes a verb (often how, when, where) — many end in -lyquickly, rarely, yesterday
PronounStands in for a nounshe, it, they, who
PrepositionShows position or relationshipunder, before, with
ConjunctionJoins words or clausesand, but, because, although
The trap markers love

A word's class is the job it is doing in that sentence, not a fixed label. In "I went for a run", run is a noun. In "I run every morning", it is a verb. Always ask: what is this word doing here?

1.2Phrase vs clause

  • A phrase is a group of words without a subject–verb pair: "under the old bridge", "the tall girl", "before lunch". It adds detail but cannot stand alone.
  • A clause has both a subject (who or what) and a verb (what they do): "the dog barked".
  • A main clause makes sense on its own: "We went home." A subordinate clause starts with a word like although, when, because, if and leaves you hanging: "although it was late…" — it needs a main clause to lean on.

1.3The three sentence types

TypeRecipeExample
SimpleOne main clauseThe storm hit.
CompoundMain clause + main clause, joined by a coordinating conjunction (FANBOYS: for, and, nor, but, or, yet, so)The storm hit, and the power went out.
ComplexMain clause + subordinate clause (joined by when, although, because, if…)When the storm hit, the power went out.
Why writers care

Variety is the point. A run of short simple sentences feels tense and punchy. Long complex sentences slow things down and add layers. Good writers choose the sentence type for the effect they want — and examiners reward you for doing the same, on purpose.

Unit 2LanguageApostrophes · Commas · Dialogue

Punctuation that changes meaning

"Let's eat, Grandma" and "Let's eat Grandma" are one comma apart — and one of them is a dinner invitation for Grandma, the other a dinner invitation of Grandma. Punctuation is not decoration; it is part of the meaning.

2.1Apostrophes: two jobs, no more

  • Contraction — the apostrophe marks missing letters: do not → don't, it is → it's.
  • Possession — the apostrophe shows ownership: the student's book (one student), the students' books (more than one — apostrophe after the s).
  • Apostrophes are never used just because a word is plural. "Banana's $2/kg" is the classic greengrocer's error.
  • The famous pair: it's always means it is or it has. its (no apostrophe) means belonging to it — like his and hers, which take no apostrophe either.

2.2Commas — and the comma splice

  • Commas separate items in a list, mark off extra information, and follow a subordinate clause that starts a sentence: "When the bell rang, we left."
  • A comma splice is the error of gluing two complete sentences with only a comma: "It was late, we went home." A comma is not strong enough for that job.
  • Three legal fixes: a full stop ("It was late. We went home."), a conjunction ("It was late, so we went home."), or a semicolon ("It was late; we went home.").

2.3Punctuating dialogue

  1. New speaker, new line. Every change of speaker starts a new paragraph.
  2. Speech marks wrap only the spoken words: "Let's go," said Sam.
  3. The punctuation before the closing quote stays inside it — a comma if a speech tag follows ("Let's go," said Sam), the full stop if not.
  4. The speech tag stays lower-case after speech: …" said Sam — unless it is a name.

2.4Homophones: same sound, different word

SetHow to pick the right one
their / there / they'retheir = belonging to them · there = a place (has here inside it) · they're = they are
your / you'reyour = belonging to you · you're = you are. If "you are" fits, it's you're.
its / it'sits = belonging to it · it's = it is / it has. Test by expanding it.
to / too / twoto = direction or the verb form · too = also, or excessively · two = 2
whose / who'swhose = belonging to whom · who's = who is
Unit 3TextsEthos · Pathos · Logos

The art of persuasion

Ads, speeches, opinion columns, that message convincing your parents you need a later bedtime — persuasion is everywhere, and it runs on a toolkit more than two thousand years old. Once you can name the tools, they stop working on you and start working for you.

3.1Start with audience and purpose

  • Audience: who is this written for? A principal, Year 7s and grandparents need different language, examples and tone.
  • Purpose: what is it trying to do — persuade, inform, entertain? Persuasive texts want you to think or do something.
  • Every technique below is chosen to suit the audience. Statistics impress a school board; a sad story about one puppy moves the general public.

3.2The three appeals

ETHOS "Trust me" the speaker's credibility experts · experience · character PATHOS "Feel this" the audience's emotions stories · imagery · emotive words LOGOS "Think it through" logic and evidence facts · statistics · reasons Strong persuasive texts usually blend all three appeals rather than relying on one.
Figure 3.1 — ethos, pathos, logosAristotle's three routes to yes. Ethos makes you trust the speaker, pathos stirs your feelings, logos convinces your reasoning. When you analyse a persuasive text, ask which appeal each technique is serving.

3.3The techniques toolbox

TechniqueWhat it does to the readerExample
Rhetorical questionMakes readers answer in their heads — and agreeDo we really want to live like this?
Rule of threeThree items in a row feel complete and memorableCheaper, cleaner and safer.
Emotive languageWords chosen to trigger feelingsinnocent animals, cruelly abandoned
StatisticsNumbers make the claim feel provenNine out of ten dentists agree.
Expert opinionBorrows a specialist's authority (ethos)Professor Chen, a leading marine scientist, warns…
Inclusive language"We" and "our" make it the reader's cause tooTogether, we can fix our school.
AnecdoteOne vivid personal story that puts a face on the issueLast winter, one dog waited at the shelter for 200 days…
RepetitionHammering a word or phrase makes it stickNever again. Never.
The formula for full marks

Never just spot the technique. The marks come in two halves: name it, then say what it does to this audience. "The rhetorical question 'Do we really want this?' pushes readers to answer 'no' in their own heads — so the writer's conclusion feels like their own idea."

Unit 4TextsNarrative · POV · Figurative language

Stories and poetry: the machinery of imagination

Stories feel like magic, but they are built — a structure that manages tension, a chosen point of view, and language that makes pictures in your head. Learn the machinery and you can both analyse it and drive it yourself.

4.1Narrative structure: the shape of tension

Orientation Complication Rising action Climax Resolution characters & setting the problem arrives stakes build tension falls a new normal The curved line is the story's tension: low at the start, highest at the climax, released by the end.
Figure 4.1 — the story arcFive stages: orientation (meet the characters and setting), complication (a problem disrupts normal life), rising action (the problem builds), climax (the turning point of highest tension), resolution (the problem is settled). Most stories you know, from picture books to blockbusters, ride this curve.

4.2Point of view: who is telling this?

  • First person ("I") — a character inside the story tells it. Intimate, but we only know what they know — and they might be wrong, or lying.
  • Third person limited ("she", "he") — an outside narrator who sticks to one character's thoughts and experiences.
  • Third person omniscient — an all-knowing narrator who can enter any character's head and see everything, everywhere.
  • POV is a choice with consequences: a mystery told by the detective hides different secrets than one told by the culprit.

4.3Figurative language: pictures made of words

DeviceWhat it isExample
SimileCompares using like or asas brave as a lion
MetaphorSays one thing is anotherThe classroom was a zoo.
PersonificationGives human qualities to non-human thingsThe wind danced through the trees.
AlliterationRepeats the starting sound of nearby wordsseven sleepy seagulls soared south
OnomatopoeiaA word that imitates its soundsizzle, crash, buzz
ImageryLanguage appealing to the five senses to build a picturethe sour tang of smoke on cold air
HyperboleDeliberate exaggeration for effectI've told you a million times.
Metaphor vs simile — the one-second test

If the comparison uses like or as, it is a simile. If it flatly claims one thing is another, it is a metaphor. "The moon was like a silver coin" — simile. "The moon was a silver coin" — metaphor.

Start hereYear 8 HistoryThe medieval & early modern world, 650–1750

Castles, plague ships and shoguns.

Four units from the thousand years between the ancient world and the modern one: how medieval Europe organised itself, the disease that broke that system open, the Japan that locked its doors for two centuries, and the Norse seafarers who raided, traded and settled half the known world.

The mapFour units

  1. Medieval Europe — the feudal pyramid, life on the manor, and why the Church touched everything.
  2. The Black Death — how a plague crossed the world in four years, what people thought caused it, and how it shook feudalism itself.
  3. Japan under the shoguns — the Tokugawa social order, the samurai, and 200 years of closed doors.
  4. The Vikings — raiders, traders and settlers, from Lindisfarne in 793 to the end of the Viking Age in 1066.
What Year 8 History is actually assessed on

Not just remembering dates — using them. You should be able to put events in chronological order, explain cause and effect (the Black Death caused a labour shortage, which led to peasants demanding wages), and show how societies were organised and why they changed.

Unit 1Medieval EuropeFeudalism · Manor life · The Church

Medieval Europe: a society built like a pyramid

After the Roman Empire collapsed in western Europe, there was no police force, no standing army, no government you could appeal to. What grew in the gap was feudalism: a deal, repeated at every level of society — land and protection flowing down, loyalty and work flowing up.

1.1The feudal pyramid

THE MONARCH owns all the land in the kingdom NOBLES lords and barons — hold great estates from the king KNIGHTS mounted warriors — hold a manor in return for fighting PEASANTS & SERFS the vast majority — work the land for everyone above GRANTED DOWN land · protection OWED UP loyalty · service · food Each level held land from the one above and owed something back — the same bargain, repeated all the way down.
Figure 1.1 — the feudal hierarchyThe king granted land to nobles in return for soldiers; nobles granted manors to knights in return for military service; peasants worked the land in return for protection and a strip of it to feed themselves. A grant of land was called a fief. The Church sat alongside this pyramid rather than inside it — bishops and abbots held land like nobles, and answered to the Pope as well as the king.

1.2Life on the manor

  • The manor was the basic unit of medieval life: the lord's house or castle, a village, farmland, common pasture and a church. Most people were born, worked and died on one manor.
  • A serf was not a slave — he could not be bought and sold — but he was tied to the land: he could not leave, marry or even grind his grain elsewhere without the lord's permission, and he owed the lord several days of unpaid work every week.
  • Villagers farmed long strips scattered across two or three great open fields, leaving one field fallow (unplanted) each year so the soil could recover.
  • Famine was a constant fear: one bad harvest meant hunger, two in a row meant starvation. Most peasants never travelled more than a day's walk from home.

1.3The power of the Church

  • Medieval western Europe had one Church — the Catholic Church, led by the Pope — and almost everyone belonged to it. People genuinely believed their eternal fate depended on it.
  • The Church ran the things governments run today: schools, hospitals, care for the poor. Monasteries copied the books that kept learning alive.
  • It was also enormously rich: every family paid a tithe — one tenth of what they produced — and the Church held vast lands.
  • Its ultimate weapon was excommunication: being expelled from the Church, which people believed shut the gates of heaven. Even kings feared it.
Knights and castles, in one paragraph

A knight trained from about age 7 (page), served a knight from about 14 (squire), and was knighted around 21. The code of chivalry said he should be brave, loyal and protect the weak — an ideal, not always the reality. Castles began as quick wooden motte-and-bailey forts (a tower on a mound, plus a fenced yard) and evolved into stone keeps with curtain walls, moats and gatehouses as sieges got smarter.

Unit 2The Black Death1347–1351

The Black Death: four years that changed Europe

In 1347 ships from the Black Sea docked in Sicily carrying dying sailors. Within four years the plague had swept the length of Europe and killed somewhere between one third and one half of its people — the deadliest disaster in European history, and one that helped crack feudalism apart.

2.1How it spread

1346 1347 1348 1349 1350 1351 plague reaches the Black Sea along Asian trade routes Genoese ships carry it to Sicily (October) it sweeps through Italy, France, Spain and England Ireland and Norway are struck it reaches Scotland it reaches Russia — Europe fully crossed The plague travelled with trade — ships and caravans — which is why ports were always hit first.
Figure 2.1 — the spread, 1346–1351The disease came out of central Asia along the Silk Road trade routes, reached the Black Sea by 1346, and entered Europe on Genoese trading ships in October 1347. It moved at the speed of commerce: about 1,500 km a year, faster by sea than by land.
Figure 2.2 — the spread on the mapSame dates as the timeline above, now in space. See how the plague enters through ports and works inland, and how it takes a year longer to reach Norway than England although the two are neighbours by sea.

2.2What caused it — then and now

What people believed in 1348What we know now
A punishment sent by God for humanity's sinsA disease caused by the bacterium Yersinia pestis
Miasma — poisonous "bad air" from swamps and filthMainly spread by fleas living on black rats aboard ships and in towns
An imbalance of the body's four "humours"Its pneumonic form also spread person to person, by coughing
Deliberate poisoning of wells — a lie used to justify murdering Jewish communitiesToday it is treatable with antibiotics; then, most victims died within about a week
  • The most common form, bubonic plague, caused fever and painful swollen lumps — buboes — in the armpits, neck and groin.
  • Because people blamed sin, some became flagellants, marching from town to town whipping themselves in public to beg God's forgiveness — and spreading the disease as they went.
  • Doctors' remedies — bleeding patients, sweet-smelling herbs, aromatic vinegar — did nothing, because the true cause was invisible to them: germs would not be discovered for another 500 years.

2.3The consequences

  1. Catastrophic death toll. Historians estimate between a third and a half of Europe's population died — roughly 25 to 50 million people. Some towns lost more; a few remote areas escaped almost untouched. (The exact number is contested — medieval record-keeping collapsed along with everything else.)
  2. Labour shortage. Suddenly there were too few workers for the land. Surviving peasants could demand wages, or walk to a lord who would pay them — unthinkable before.
  3. Lords pushed back. England's Statute of Labourers (1351) tried to freeze wages at pre-plague levels. Resentment at laws like this helped fuel the English Peasants' Revolt of 1381.
  4. Feudalism weakened. Serfdom didn't vanish overnight, but the old deal — work for protection, never for pay — was broken in western Europe. The Church's authority also suffered: prayers had not stopped the dying.
The cause-and-effect chain markers love

Plague → massive death toll → labour shortage → surviving workers demand wages and move freely → lords try to force old terms back → revolt and resistance → serfdom declines. Learn it as a chain, and you can answer almost any "consequences" question.

Unit 3Shogunate JapanTokugawa order · Samurai · Sakoku

Japan under the shoguns: order, honour, closed doors

While Europe's pyramid was crumbling, Japan built one of the most tightly ordered societies in history — ruled not by its emperor but by a military lord, the shogun — and then sealed itself off from most of the world for over 200 years.

3.1The Tokugawa social order

Portrait of Tokugawa Ieyasu
Tokugawa Ieyasu1543–1616

After a century of civil war, Tokugawa Ieyasu won the decisive Battle of Sekigahara in 1600 and became shogun in 1603. The emperor remained in Kyoto as a revered figurehead — but real power sat with the shogun in Edo (today's Tokyo). Below him, society was frozen into ranked classes. You were born into your class, dressed according to it, and almost never left it.

RankWhoWhy they ranked there
ShogunThe military ruler — the Tokugawa family for 250+ yearsHeld real power, ruling in the emperor's name
DaimyoGreat lords governing their own domainsPowerful, but kept obedient — forced to spend alternate years at Edo, leaving their families there as hostages
SamuraiThe warrior class, about 6–7% of Japan — only they could carry the two swordsHonoured as protectors; in the long peace many became officials and administrators
PeasantsFarmers — the great majority of the populationRespected in theory (they grew the rice everything ran on) but heavily taxed in practice
ArtisansCraftspeople — swordsmiths, carpenters, weaversMade useful things with their hands
MerchantsTraders and money-lendersRanked lowest — they produced nothing themselves — yet many grew richer than samurai
  • Samurai lived by bushido, "the way of the warrior": absolute loyalty to your lord, courage, self-discipline and honour valued above life itself. A disgraced samurai was expected to die rather than live with shame.
  • Compare this with European chivalry: both were warrior codes tied to a lord — but bushido put loyalty and honour first, where chivalry (in theory) put protecting the weak and serving God.

3.2Sakoku: the closed country

1600 1603 1630s 1853 1854 Tokugawa Ieyasu wins the Battle of Sekigahara Ieyasu becomes shogun — 250 years of Tokugawa rule begin sakoku edicts close Japan to the world Commodore Perry's US steamships arrive uninvited Japan signs a treaty opening ports — sakoku ends Spacing not to scale — the gap between the 1630s and 1853 is the two centuries of isolation itself.
Figure 3.1 — the shogunate, 1600–1854In the 1630s the shogunate issued the sakoku ("closed country") edicts: Christianity was banned, foreign traders expelled, and Japanese people forbidden to leave the country — on pain of death. The isolation held until 1853, when the United States sent Commodore Matthew Perry with steam-powered warships Japan could not match, and the shogunate was forced to open up.
Figure 3.2 — the closed countryDistance was policy. The foreign traders were kept at Nagasaki, at the far south-western tip, a month's journey from the shogun's capital; when Perry anchored right next to Edo in 1853, the shock was as much about the place as the ships.
  • Why close the country? The shoguns feared Christianity and European influence would divide Japanese loyalties and invite conquest — they had watched European powers colonise elsewhere in Asia.
  • Isolation was not total: one carefully guarded window stayed open. Dutch and Chinese traders could dock at the tiny artificial island of Dejima in Nagasaki harbour — Japan's only official peephole on the world.
  • The result was two centuries of internal peace: cities, roads, theatre, woodblock printing and literacy flourished — while Japan's military technology stood still, which is exactly what Perry's cannon exposed in 1853.
Continuity and change — the comparison question

Both Tokugawa Japan and medieval Europe were strict hierarchies topped by a warrior elite bound by a code of honour. The big difference: Europe's system was loosening after the Black Death, while Japan's was deliberately frozen in place by law — and it stayed frozen until the outside world forced the doors open in 1853.

Unit 4The Vikingsc. 790–1066

The Vikings: raiders, traders, settlers

"Vikings" were Norse people from Scandinavia — today's Norway, Denmark and Sweden. The stereotype is the axe-swinging raider, and the raids were real — but the same ships that carried raiders also carried merchants to the markets of the east and families to new farmland across the North Atlantic.

4.1The Viking Age, 793–1066

793 866 c. 870 911 c. 1000 1066 raid on the monastery of Lindisfarne, England the Great Army captures York — the Danelaw begins Norse settlers begin farming Iceland Viking leader Rollo is granted Normandy, France Leif Erikson reaches North America (Vinland) defeat at Stamford Bridge — the Viking Age ends Spacing not to scale — dates are in order along the line.
Figure 4.1 — the Viking AgeThe attack on the undefended island monastery of Lindisfarne on 8 June 793 shocked Christian Europe and traditionally opens the Viking Age. It closes in 1066: the Norwegian king Harald Hardrada invaded England and was crushed at Stamford Bridge — weeks before William of Normandy (himself descended from Viking settlers) won the Battle of Hastings.
Figure 4.2 — raiders, traders, settlers on the mapThree directions, three faces: west to raid and settle (Britain, Iceland), south to raid and then rule (Normandy), east to trade (the rivers to Kiev).

4.2Raiders, traders, settlers — three faces, one people

FaceWhat it looked likeEvidence
RaidersFast hit-and-run attacks on coastal targets — monasteries were favourites: rich in silver, poor in defendersMonastery chronicles like Lindisfarne's; buried treasure hoards hidden from raids
TradersFurs, amber, walrus ivory and enslaved captives exchanged for silver, silk and spices; river routes ran east all the way to ConstantinopleThousands of Middle Eastern silver coins dug up in Scandinavian hoards
SettlersFarming families claiming new land: eastern England (the Danelaw), Iceland, Greenland — briefly even North AmericaNorse place-names across England (-by, -thorpe); the excavated Norse site at L'Anse aux Meadows, Canada

4.3The longship — the technology behind it all

  • Longships were fast under sail or oar, and their genius was a shallow draught: they needed so little water that they could row far up rivers and land directly on beaches — no harbour required. That made surprise raids possible, and escape easy.
  • The same shipbuilding skill produced broader, deeper cargo ships (knarrs) that carried settlers, livestock and trade goods across open ocean to Iceland and Greenland.
  • Vikings navigated without compasses — by sun, stars, landmarks, birds and hard-won sea knowledge.
  • Settlement changed them: in England the Danelaw Vikings became Christian farmers within a few generations, and their words — sky, egg, knife, they — are still in English.
The question Year 8 always gets

"Were the Vikings just violent raiders?" The full-marks answer weighs both sides: yes, the raids were real and terrifying (Lindisfarne 793, and monks' chronicles say so — though remember the monks were the victims, so their accounts are hostile sources). But archaeology shows the bigger story: trade routes stretching to Constantinople, and generations of peaceful farming settlement from the Danelaw to Iceland.

Start hereYear 8 GeographyLandscapes & cities

The shape of the land, the pull of the city.

Four units in two halves: first the slow forces that carve mountains, coasts and Uluru — and the sudden ones that shake, erupt and flood. Then the biggest migration in human history: the world moving into cities, and where Australia fits in it.

The mapFour units

  1. Landforms and landscapes — weathering, erosion and deposition: the three processes behind every landscape, and what Country means.
  2. Geomorphic hazards — earthquakes, volcanoes, tsunamis and landslides: causes, impacts, and what people can actually do.
  3. Urbanisation and megacities — why over half of humanity now lives in cities, and what a city of ten million is like.
  4. Australia's urban future — where Australians live, why the coast won, and what makes a city worth living in.
What Year 8 Geography is actually assessed on

Explaining how geomorphic processes create and change landscapes and produce hazards — and explaining the causes and consequences of urbanisation, using Australia and Asia as your evidence.

Unit 1Landforms & landscapesWeathering · Erosion · Deposition

Landforms and landscapes: the slow sculptors

Every cliff, valley and dune you have ever seen is a work in progress. Three quiet processes — breaking rock, moving it, dropping it — have been running for billions of years, and they explain nearly everything about the shape of the land.

1.1Landscapes and landforms

A landform is a single natural feature — one mountain, one valley, one beach. A landscape is the whole scene those features add up to. Australia has nearly every kind:

Landscape typeWhat defines itAn Australian example
CoastalShaped by waves and tidesThe Great Ocean Road cliffs, Victoria
Arid (desert)Shaped by wind and rare, violent rainThe Simpson Desert's parallel red dunes
MountainUplifted land, carved by ice and riversThe Australian Alps
RiverineBuilt and re-built by riversThe Murray–Darling floodplains
KarstLimestone dissolved into caves and sinkholesThe Jenolan Caves, NSW

1.2The three processes

1 · WEATHERING rock cracks and crumbles where it stands heat, ice, salt, acids, roots 2 · EROSION the loose pieces are carried away by rivers, wind, ice, waves 3 · DEPOSITION the water or wind slows and drops its load beaches, dunes, river flats picked up dropped One rule powers it all: faster water or wind carries more — when it slows down, it drops what it carries.
Figure 1.1 — break, move, dropThe three processes always run in this order. Weathering loosens rock in place; erosion is the moving; deposition is the dropping. Mix up the first two and you lose the mark — weathering never moves anything.
  • Physical weathering cracks rock without changing it: day–night heating and cooling, water freezing in cracks, salt crystals growing in coastal rock.
  • Chemical weathering changes the rock itself: rainwater is very slightly acidic and slowly dissolves minerals — that is what hollowed out every limestone cave.
  • Biological weathering is life doing the damage: tree roots widening cracks, lichens eating into stone.
  • The agents of erosion are moving water, wind, ice and waves. Each one sorts and carries the broken pieces — and each one eventually deposits them.

1.3Landscapes in action

  1. Uluru. Around 550 million years ago, sand eroded off ancient mountains piled up in huge fans. Buried and squeezed, it hardened into tough sandstone, then earth movements tilted the layers nearly vertical. Ever since, weathering and erosion have stripped away the softer surrounding rock — leaving the hard remnant standing 348 m above the plain, with far more of it still below the surface.
  2. A river valley. A young river cuts downward, carving a narrow V-shaped valley; lower down it slows, swings side to side, and deposits floodplains of fertile silt.
  3. A coastline. Waves attack a headland's cracks, opening a cave; the cave punches through into an arch; the arch roof collapses, leaving a stack; the stack wears down to a stump. Victoria's Twelve Apostles are limestone stacks mid-story — despite the name, eight remain standing.
Country — more than scenery

For Aboriginal and Torres Strait Islander peoples, land is Country: not property but a living whole of land, water, sky, ancestors and law, carrying creation stories and responsibilities of care. Uluru is sacred to its traditional owners, the Anangu, under their law, Tjukurpa — and at their request the climb was permanently closed in 2019. Practices such as cultural burning — small, cool, planned fires — managed Australian landscapes for tens of thousands of years, and are being used again today.

Unit 2Landforms & landscapesQuakes · Volcanoes · Tsunamis

Geomorphic hazards: when the ground turns dangerous

The same Earth processes that build landscapes occasionally do it violently. A geomorphic hazard is any Earth-made threat to people — and the fascinating part is not the disaster, it is what people can do before it.

2.1The four big ones

Figure 2.2 — the three examples, placedThe course's three named hazards on one map. Notice that the deadliest by far struck the plate boundary, and that Australia's two happened far from any boundary, which is why they surprised people.
HazardCauseWorst impactsBest responses
EarthquakeStress between locked plates suddenly snaps rock along a faultCollapsing buildings — the shaking itself rarely kills directlyStrict building codes, drills, "drop, cover, hold on"
VolcanoMolten rock rises where plates collide or over hot spotsAsh, lava, fast-moving hot flows; flights grounded continents awayMonitoring gives warning days ahead — evacuation saves most lives
TsunamiAn undersea earthquake jolts the whole ocean above itWalls of water flooding kilometres inlandOcean sensor networks, sirens, and running to high ground fast
LandslideGravity wins on a slope weakened by water, quakes or clearingSudden burial of roads and buildings belowDrainage, planting slopes, not building on or under them
  • Earthquake size is measured by magnitude — and the scale is sneaky: each whole step means about 32 times more energy. A magnitude 7 is not "a bit worse" than a 5 — it releases roughly a thousand times the energy.
  • Volcanoes give as well as take: volcanic soils are among the most fertile on Earth, which is exactly why millions of people farm on their slopes.
  • The deadliest recent example: the 2004 Boxing Day tsunami. A magnitude-9.1 quake off Sumatra sent waves across the Indian Ocean, killing around 230,000 people in 14 countries — most of whom had no warning at all. The warning systems that now ring the Indian Ocean were built because of it.

2.2How a tsunami works

the seabed deep ocean sea surface an undersea earthquake jolts the seabed in deep water: low ripples, jet-plane fast up to ~800 km/h — ships barely notice them in shallow water: waves slow and stack up tall the beach Read it left to right: one jolt of the seabed in deep ocean arrives at the shore as a wall of water.
Figure 2.1 — from jolt to wall of waterIn deep water a tsunami is fast but barely knee-high. Near shore the shallowing seabed brakes the wave, and the same energy squeezed into less depth piles the water up. Classic warning sign: the sea suddenly withdrawing from the beach — that is the trough arriving first, and the signal to run uphill immediately.
Australia: quiet, but not immune

Australia sits in the middle of its tectonic plate, far from the edges where most quakes and volcanoes happen — that is why it is so quiet. But mid-plate stress still snaps sometimes: the 1989 Newcastle earthquake (magnitude 5.6) killed 13 people, and the 1997 Thredbo landslide killed 18. The mainland's youngest volcanoes, near Mount Gambier, last erupted only about 5,000 years ago — recent, by geological standards. And Australian coasts remain exposed to tsunamis crossing the oceans.

Unit 3Changing placesA world moving to the city

Urbanisation and megacities

In 1800, barely anyone lived in cities. Today more than half of all humans do, and the shift is still running — the largest movement of people in history, almost all of it happening in Asia and Africa.

3.1What is happening, and why

  • Urbanisation means the share of people living in cities is rising. The world crossed the half-way mark around 2007; the UN projects about two-thirds urban by 2050.
  • A megacity is a city of 10 million or more people. There were only two in 1950 (Tokyo and New York); today there are more than 30 — and most of them are in Asia.
  • Greater Tokyo is the biggest of all — home to roughly 37 million people, more than all of Australia combined.
PUSH — what drives people out THE COUNTRYSIDE few jobs · drought · poverty few doctors and schools sometimes conflict PULL — what draws people in THE CITY jobs and higher pay universities and hospitals family already there people move — migration when push plus pull outweighs the cost of leaving home The same arrow explains moves between countries too. Worldwide, cities grow by roughly 1.5 million people every week (approx.).
Figure 3.1 — push and pullMigration is a scale with two sides. Push factors make staying harder; pull factors make the city look better. For an exam answer, always give at least one of each — naming only pulls is half the story.

3.2Consequences of growing this fast

  • Housing can't keep up. When millions arrive faster than homes can be built, people build their own: informal settlements (slums) without secure water, sewerage or land rights. Dharavi in Mumbai packs roughly a million people into about 2.5 km² — yet is also a hive of small businesses.
  • Systems strain: traffic congestion, air pollution, waste, and water supplies stretched to the limit.
  • But cities also deliver. On average, city dwellers are closer to work, schools and hospitals, and services are cheaper to provide per person than when the same people are scattered. That is why people keep coming — the move is usually rational.
The pattern to remember

Rich countries mostly urbanised before 1950 and have now levelled off; today's fast urbanisation is happening in Asia and Africa. So most new megacities are in lower-income countries — which is exactly why housing and services struggle to keep pace.

Unit 4Changing placesWhere Australians live

Australia's urban future

Australia is a giant continent that lives in a handful of coastal cities. Understanding why — and how migration keeps reshaping those cities — is understanding modern Australia.

4.1Where Australians actually live

Major cities ≈ 72% Inner regional ≈ 18% Outer regional ≈ 8% Remote & very remote ≈ 2% (ABS figures, rounded)
Figure 4.1 — a coastal, urban nationAbout two in three Australians live in the eight capital cities alone, and nine in ten live in cities and towns. Remote Australia covers most of the continent's area — and holds about two people in every hundred.
Figure 4.2 — a coastal, urban nation on the mapEvery capital is on the coast, and five of the eight are in the south-east corner. The whole interior, most of the continent's area, has no city at all.
  • Why the coast, and why the south-east? Reliable rain, milder climate, better soils, and natural harbours. The colonial ports — Sydney, Melbourne, Brisbane, Perth, Adelaide — became the trade gateways, and jobs have snowballed around them ever since.
  • The five biggest today (approx., 2024): Sydney ~5.5 million, Melbourne ~5.4 million, Brisbane ~2.9 million, Perth ~2.5 million, Adelaide ~1.5 million.

4.2Migration keeps redrawing the map

  • Internal migration — Australians moving within Australia. Two famous currents: the sea change (city to coastal town) and tree change (city to country town). The biggest single flow of recent decades has been to south-east Queensland.
  • International migration — most new migrants settle in the big cities, especially Sydney and Melbourne. It is the main engine of those cities' growth and diversity: about 30% of Australians were born overseas, one of the highest shares in the world.
  • Young people flow toward the big cities for study and first jobs; families and retirees flow outward for space and affordability. Both currents run at once.

4.3Liveability — and planning for 40 million

  • Liveability measures how good a city is to live in: safety, healthcare, education, transport, environment, culture. Australian cities routinely rank near the top of world surveys — Melbourne was ranked the world's most liveable city seven years running (2011–2017).
  • The threats to that ranking are home-grown: urban sprawl (endless outward growth, leaving people far from jobs), congestion, and housing costs.
  • Strategies on the table: build medium-density housing near transport instead of only sprawling outward; invest in public transport; protect green space; and grow regional centres so the capitals aren't the only choice (decentralisation).
Answering a "liveability" question

Define it, measure it, improve it: liveability is the quality of living conditions; it is compared using factors like safety, health services, education, transport and environment; and any improvement strategy you name should match a factor — e.g. "extending the rail line improves transport access for outer suburbs".

Start hereYear 9 EnglishAnalysis & argument

Reading like a writer.

Four units: how word choice builds a voice, how arguments are constructed (and where they cheat), how to write the analytical paragraph that every English exam wants, and how to read the news without being played — built from the Year 9 English language and literacy descriptions.

The mapFour units

  1. Voice and tone — how word choice, register and sentence shape create a personality on the page.
  2. Rhetoric and argument — claims, evidence, appeals, and the fallacies that make bad arguments look good.
  3. The analytical paragraph — TEEL: the four-move structure for analysing any text.
  4. Reading the news — angle, bias, headlines, and telling fact from opinion.
What Year 9 English is actually assessed on

Moving past "spot the technique" to analysis: how do a writer's specific language choices create voice, position an audience, and build an argument — and can you explain that in a structured analytical paragraph of your own?

Unit 1LanguageDiction · Register · Connotation

Voice and tone: the personality in the words

Read one paragraph of a favourite author and you can often name them without a byline. That recognisable personality is voice — and it is built from choices you can point to: which words, which register, which sentence shapes.

1.1The three levers of voice

LeverWhat it meansThe effect of moving it
Diction (word choice)Which words, out of all the options — home or residence or shack?Each option carries its own associations and formality
RegisterThe formality level, matched to audience and situationFormal register signals authority and distance; informal signals closeness
Syntax (sentence shape)Long and flowing, or short and clipped?Short sentences: urgency, bluntness, tension. Long ones: reflection, detail, calm
Voice vs tone

Voice is the writer's overall personality across a text — it stays fairly stable. Tone is the attitude to the subject at a given moment — sarcastic, mournful, outraged — and it can shift from paragraph to paragraph. You identify tone the same way every time: through the word choices on the page.

1.2Connotation: the charge a word carries

  • Denotation is a word's literal, dictionary meaning. Connotation is the cloud of associations and feelings it carries with it.
  • Slender, thin and scrawny all denote the same body — but one flatters, one is neutral, one insults. The connotation does the persuading.
  • Writers pick the connotation, not just the meaning: freedom fighter vs rebel vs terrorist can describe the same person from three different sides.
PositiveNeutralNegative
slenderthinscrawny
determinedfirmstubborn
homehouseshack
youthfulyoungchildish
The exam move

Never write "the author uses word choice" — every author does. Name the specific word, state its connotation, and say what it makes the reader feel: "Calling the shed a shack connotes poverty and neglect, positioning the reader to pity its owner."

Unit 2ArgumentClaims · Evidence · Fallacies

Rhetoric and argument: how cases are built

An argument is a machine: a claim, supported by evidence, connected by reasoning. Learn the parts and you can build strong arguments — and, just as usefully, spot exactly where a weak one is cheating.

2.1The anatomy of an argument

  1. Claim — the statement the writer wants you to accept: "School should start at 10 am." A claim on its own proves nothing.
  2. Evidence — verifiable support: facts, data, examples, expert testimony. "Sleep studies of 3,000 teenagers found…"
  3. Reasoning — the link explaining why the evidence supports the claim. Evidence without reasoning is just trivia.
  • The three appeals still apply at Year 9: ethos (credibility), pathos (emotion), logos (logic). Strong arguments lean on logos and use the others in support.
  • A strong argument also anticipates the counter-argument and answers it, instead of pretending it doesn't exist.

2.2Fallacies: arguments that cheat

A fallacy is a flaw in reasoning that makes an argument look stronger than it is. Six to know by name:

FallacyThe cheatExample
Ad hominemAttacks the person instead of their argument"Why listen to her plan? She failed Year 9 maths."
Straw manMisrepresents the opposing view, then attacks the distortion"So you want later starts? You clearly think school doesn't matter at all."
BandwagonPopularity offered as proof"Every other school has done it, so we should too."
False dilemmaPretends only two options exist"Either we ban phones completely, or results will collapse."
Slippery slopeClaims one small step must lead to catastrophe, with no evidence for the chain"Allow one late homework and soon nobody will hand in anything, ever."
Hasty generalisationA sweeping conclusion from one or two cases"My cousin's school tried it and hated it, so it fails everywhere."
Naming is half the job

Full marks need two steps: name the fallacy, then explain why the reasoning fails here. "This is a false dilemma: banning phones and collapsing results are not the only options — phone lockers, class-time rules and partial bans all exist."

Unit 3WritingTEEL · Embedding quotes

The analytical paragraph: TEEL

Every English essay you write from now to Year 12 is built from one repeating unit: the analytical paragraph. TEEL is its skeleton — four moves, in order, every time. Master the paragraph and essays become assembly.

3.1The four moves

T Topic sentence — state this paragraph's one argument a mini-claim, not a plot summary and not a quote E Example — the evidence: a short quote or precise moment embedded in your own sentence, not dropped in alone E Explanation — name the technique and its effect on the reader this is where most of the marks live L Link — connect the point back to the question or contention zoom back out; no new ideas here Read top to bottom: claim → proof → analysis → connection. Each box is usually one to two sentences.
Figure 3.1 — TEEL anatomyFour moves in fixed order. The paragraph zooms in — from your argument, down into the text's exact words — and then zooms back out to the big picture. The explanation is the paragraph's engine room: technique + effect.

3.2A worked example

  1. T — "Owen's Dulce et Decorum Est strips war of its glamour."
  2. E — "He opens by describing the marching soldiers as 'bent double, like old beggars under sacks'."
  3. E — "This simile replaces the recruiting-poster image of proud young soldiers with figures who are broken and prematurely aged."
  4. L — "From its first image, the poem begins dismantling the 'old Lie' that dying in war is sweet and honourable."

3.3Embedding quotes

  • Short beats long. A phrase of two to eight words, woven into your own sentence, beats a copied paragraph every time.
  • Embedded means grammatical: your sentence must read smoothly with the quote inside it — "Owen describes soldiers who march 'like old beggars', broken by the war."
  • Exact words, in quotation marks. If you change or trim anything, the sentence around it must still be honest about what the text says.
  • Never begin a sentence with a floating quote and no introduction — the dreaded "dropped quote".
Unit 4LiteracyAngle · Bias · Fact vs opinion

Reading the news: the angle behind the story

No news story is just "what happened". Someone chose what to cover, whom to quote, which word to put in the headline and what to leave out. Reading the news well means seeing those choices — not assuming the worst, just seeing them.

4.1Angle, and the three faces of bias

  • The angle is the perspective a story is told from — the same school-funding decision can be "a lifeline for students" or "a budget blowout", and both can be factually accurate.
  • Bias by selection: which stories, facts and voices get included — and which are left out (omission).
  • Bias by placement: front page or page 14? First paragraph or last? Position signals importance.
  • Bias by language: loaded language — word choices whose connotations tilt the reader. "Prices soar" and "prices rise" report the same fact at different temperatures.

4.2Headline tricks

TechniqueExampleWhat it's doing
Emotive / loaded verbCouncil slammed over pool closure"Criticised" becomes a physical attack — drama sells
Pun / wordplayPurr-fect ending for lost catEntertains; signals a light story
AlliterationBeach ban battle beginsRhythm makes it catchy and memorable
SensationalismCHAOS as trains delayed 20 minutesInflates scale to grab attention
Question headlineIs your suburb next?Manufactures worry; makes you click to find out

4.3Fact vs opinion

  • A fact can be checked and verified against evidence: "The match ended 2–1." It can still be wrong — but it is checkable.
  • An opinion is a judgement or preference: "The referee was a disgrace." It cannot be verified, only argued for.
  • The danger zone is opinion dressed as fact: "Everyone knows the plan has failed." Ask: could evidence check this claim?
  • Quality journalism separates the two: news reports lead with verifiable facts; opinion lives in clearly labelled columns.
The analysis move for media texts

Treat a news article exactly like a poem: quote the specific word, name the device (loaded language, emotive verb, selection of detail), and state the effect: "Slammed frames ordinary criticism as violent, positioning readers against the council before any facts arrive."

Start hereYear 9 HistoryThe making of the modern world, 1750–1918

Steam, ships and the birth of a nation.

Four units spanning the century and a half that built the modern world: machines replace muscle in Britain, millions of people move across oceans — some in chains — six colonies argue their way into being Australia, and then the whole system marches into the First World War.

The mapFour units

  1. The Industrial Revolution — why Britain first, what the machines changed, and what factory life cost.
  2. Movement of peoples — convicts, enslaved people and free settlers: who moved, why, and what it was like.
  3. Making a nation — colonisation and frontier conflict, gold and Eureka, and the road to Federation in 1901.
  4. World War I — the causes, the trenches, Gallipoli, and the conscription fight that split Australia.
What Year 9 History is actually assessed on

Cause and consequence at full depth: not "the war started in 1914" but why — long-term causes (militarism, alliances, imperialism, nationalism) versus the short-term trigger. Plus perspectives: the gold rush looked very different to a digger, a trooper, and the Wathaurong people of Ballarat.

Unit 1Industrial RevolutionSteam · Factories · Cities

The Industrial Revolution: when machines changed everything

For all of human history, work meant muscle — human or animal — plus wind and water. Then, in Britain from about 1750, coal-fired steam power broke that limit, and within a century everyday life changed more than it had in the previous thousand years.

1.1Why Britain first?

AdvantageWhy it mattered
Coal and ironHuge, easily mined deposits — the fuel and the metal of the new machines
Empire and tradeColonies supplied raw materials (like cotton) and bought the finished goods
Money to investProfits from trade — including the slave trade — funded factories and machines
Spare workersBetter farming methods fed more people with fewer hands, freeing labour for factories
Stability and transportA stable government, plus rivers and new canals to move heavy goods cheaply

1.2The machines

1712 c. 1764 1769 1830 1833 1842 Newcomen's steam engine pumps water from mines Hargreaves' spinning jenny: one worker spins many threads Watt patents his improved steam engine — power anywhere Liverpool–Manchester railway: the first inter-city steam line Factory Act: no mill children under 9; inspectors appointed Mines Act: no women or boys under 10 underground Spacing not to scale — dates are in order along the line.
Figure 1.1 — from steam pump to steam nationNotice the shape of the story: first the machines (1712–1830), then society scrambling to catch up with laws (1833, 1842). James Watt didn't invent the steam engine — he made Newcomen's fuel-hungry pump efficient enough to power anything, anywhere. That's why factories no longer needed rivers, and why cities exploded.

1.3What it cost: factories, children, cities

  • The factory system replaced home workshops: hundreds of workers under one roof, working to the machine's pace and the owner's clock — shifts of 12 to 14 hours were common.
  • Child labour was everywhere: children were cheap, obedient, and small enough to crawl under moving machinery or through narrow mine tunnels. Many were injured; some never saw daylight in winter.
  • Urbanisation: people flooded from farms to factory towns. Manchester grew from about 25,000 people in 1770 to over 300,000 by 1850 — with housing, sewers and clean water nowhere near keeping up. Cholera swept the slums.
  • Responses grew alongside: machine-smashing Luddites (1811–16), early trade unions, reform campaigners like Lord Shaftesbury, and eventually Parliament's Factory Acts and Mines Act.
Was the Industrial Revolution good or bad? The balanced answer

Short term, for workers: brutal — hours, danger, slums, child labour. Long term: mass-produced goods, railways, rising wages, and the laws, unions and public-health reforms that the horrors themselves provoked. A top answer gives both, with evidence for each — and notes that the people who paid the costs were rarely the ones who collected the benefits.

Unit 2Movement of peoplesConvicts · Slavery · Settlers

Movement of peoples: chained, forced and free

Between 1750 and 1900 millions of people crossed the world's oceans — and the differences matter. Enslaved Africans were taken by force. British convicts were transported as punishment. Free settlers chose to go, pushed by hardship at home and pulled by promises abroad.

2.1Three very different journeys

  • The transatlantic slave trade. Over roughly four centuries, about 12 million enslaved Africans were shipped across the Atlantic to the Americas. The crossing — the Middle Passage — packed people below decks in chains for weeks; huge numbers died at sea. Much of the cotton feeding Britain's mills was grown by enslaved labour.
  • Convict transportation. Britain's answer to overflowing prisons: exile. From the First Fleet's arrival at Sydney Cove in 1788 to the last ship into Western Australia in 1868, about 162,000 convicts were transported to the Australian colonies — most for property crimes like theft, some for political protest (including the Tolpuddle Martyrs, transported in 1834 for forming a farm workers' union).
  • Free settlers. Growing numbers chose the voyage — many with fares paid by assisted migration schemes hungry for workers, and a flood more after gold was found in 1851.

2.2Push and pull

Push factors (drove people out)Pull factors (drew people in)
Poverty and unemployment in industrial citiesCheap land impossible to own at home
The Irish famine, 1845–49 — a million dead, a million emigratedGold, from 1851
Overcrowded slums and diseaseAssisted passage — the fare paid for you
Religious or political persecutionHigher wages, and family already there writing home

2.3The timeline of forced migration's end

1788 1807 1833 1840 1868 the First Fleet arrives at Sydney Cove Britain abolishes the slave trade Britain abolishes slavery across its empire convict transportation to New South Wales ends the last convict ship reaches Western Australia Spacing not to scale — dates are in order along the line.
Figure 2.1 — forced migration winds down, 1788–1868Note the overlap: Britain was shipping convicts to Australia during the same decades it was congratulating itself for ending the slave trade. Convict labour — unpaid, unfree — built early Sydney's roads, bridges and public buildings; most convicts eventually earned a ticket of leave and stayed as free colonists.
Don't blur the categories

Slavery, convict transportation and free settlement all moved people across oceans — but with completely different legal status: enslaved people were property for life, with children born enslaved; convicts served a sentence with an end date and could earn freedom; free settlers kept every right they sailed with. Markers reward answers that keep these distinct.

Unit 3Making a nationFrontier · Gold · Federation

Making a nation: from six colonies to one Australia

Australia wasn't born in 1901 out of nothing. It was built — on land taken from Aboriginal peoples in a long frontier conflict, transformed by a gold rush that tripled the population in a decade, and finally stitched together by referendum into a federation.

3.1Colonisation and the frontier

  • Britain claimed the continent under the doctrine later called terra nullius — "land belonging to no one" — treating tens of thousands of years of Aboriginal ownership as if it didn't exist.
  • As settlers and their sheep pushed inland, Aboriginal peoples resisted the loss of land and water — leaders like Pemulwuy fought a guerrilla campaign around Sydney in the 1790s. This frontier conflict ran for over a century, alongside devastating epidemics like the 1789 smallpox outbreak.
  • The Myall Creek massacre (1838) stands out in the record because of what followed: seven colonists were tried and hanged for murdering 28 Aboriginal people — one of the very few times frontier killings were punished.

3.2Gold and Eureka

Portrait of Peter Lalor
Peter Lalor1827–1889
  • Payable gold was found in New South Wales in 1851, then in far richer fields in Victoria (Ballarat, Bendigo). People poured in from Britain, Ireland, China, America and Europe — the non-Indigenous population roughly tripled in the 1850s.
  • Every digger had to buy a monthly miner's licence — costly whether you found gold or not — enforced by brutal licence hunts.
  • On 3 December 1854, diggers at Ballarat burned their licences, built a stockade at Eureka and swore an oath under the Southern Cross flag, led by Peter Lalor. Soldiers and police stormed it at dawn; around 22 diggers and at least 5 soldiers died.
  • The rebels lost the battle and won the argument: juries refused to convict them, the hated licence was replaced by a cheap Miner's Right — which came with the vote. Eureka became a symbol of Australian democracy.

3.3Federation, 1901

1788 1838 1851 1854 1901 the First Fleet lands — colonisation begins Myall Creek massacre — colonists hanged for frontier killings gold found in NSW, then Victoria — the rush begins the Eureka Stockade at Ballarat, 3 December Commonwealth of Australia proclaimed, 1 January Spacing not to scale — dates are in order along the line.
Figure 3.1 — the road to 1901Through the 1890s the six self-governing colonies drafted a constitution and put it to the people in referendums (1898–1900). On 1 January 1901 the Commonwealth of Australia was proclaimed, with Edmund Barton as first Prime Minister. Reasons to federate: shared defence, control of immigration, ending inter-colonial tariffs, and a growing sense of being one people. Among the new parliament's first laws was the Immigration Restriction Act 1901 — the start of the White Australia policy.
Perspectives — the discriminating question

Federation looked like a proud birth to most colonists. To Aboriginal peoples it delivered a constitution that excluded them from the census count and from federal law-making power — exclusions that stood until the 1967 referendum. A strong answer can hold both perspectives at once.

Unit 4World War I1914–1918

World War I: the war that made the modern world darker

One assassination in Sarajevo shouldn't have set the whole world on fire. That it did tells you the fuel was already stacked: rival empires, arms races, prickly nationalism — and a web of alliances that turned any local quarrel into everyone's war.

4.1The causes: MAIN + the spark

Portrait of Archduke Franz Ferdinand
Archduke Franz Ferdinand1863–1914
  • M — Militarism: Europe's powers had spent decades building huge armies and navies (Britain and Germany raced to out-build each other's battleships) and glorifying war.
  • A — Alliances: the Triple Alliance (Germany, Austria-Hungary, Italy) faced the Triple Entente (Britain, France, Russia) — promises that meant a quarrel between two nations dragged in six.
  • I — Imperialism: rival empires competed for colonies, markets and resources, storing up resentments.
  • N — Nationalism: fierce national pride — and in the Balkans, Serbian nationalists wanting Austria-Hungary's Slavic lands.
  • The spark: on 28 June 1914, Archduke Franz Ferdinand, heir to Austria-Hungary's throne, was assassinated in Sarajevo by the Bosnian Serb nationalist Gavrilo Princip.
Figure 4.1 — the chain reaction, July–August 1914Follow the arrows in date order and you can narrate the entire outbreak: Austria-Hungary punishes Serbia → Russia defends Serbia → Germany backs Austria-Hungary and strikes at Russia and France → the invasion of neutral Belgium brings in Britain — and with Britain, automatically, Australia. Five weeks from assassination to world war.

4.2Trenches and Gallipoli

Figure 4.2 — where Australians foughtGallipoli made the legend, but the numbers belong to France: the two markers at Fromelles and Pozières alone cost more than the whole Gallipoli campaign. Beersheba, far to the south-east, is the war's other Australian name.
  • On the Western Front the armies dug in from the Channel to Switzerland: trench warfare. Machine guns and artillery made attacking across no-man's-land close to suicidal, so the line barely moved for four years.
  • Trench life meant mud, rats, lice, "trench foot", shellfire — and going "over the top" into wire and machine guns.
  • Gallipoli: to knock the Ottoman Empire out of the war and open a sea route to Russia, Allied forces landed on the Gallipoli peninsula on 25 April 1915 — the Australians and New Zealanders (the Anzacs) at what became Anzac Cove. The Turkish defenders held the heights; eight months of stalemate followed, and the peninsula was evacuated by early 1916. About 8,700 Australians died there.
  • The Anzac legend — courage, endurance, mateship — was born at Gallipoli. Historians debate it: the campaign was a defeat, war correspondents wrote it up heroically at the time, and the Western Front (where about 46,000 Australians died, 1916–18) was far deadlier yet is far less remembered. You should be able to state both the legend and the debate.

4.3Australia divided: conscription

Portrait of Billy Hughes
Billy Hughes1862–1952
  • All ~416,000 Australians who served enlisted voluntarily — but as casualties mounted, Prime Minister Billy Hughes tried to introduce conscription for overseas service.
  • Two national votes — October 1916 and December 1917 — both said No, narrowly. The campaigns were bitter, splitting families, churches and the Labor Party itself.
  • The war ended with the armistice of 11 November 1918. Around 60,000 Australians were dead — from a population under five million, one of the heaviest tolls per head among the Allies.
Long-term causes vs the trigger

Never write "WWI started because Franz Ferdinand was shot" and stop. The assassination was the trigger; the MAIN factors were the fuel. The test: assassinations had happened before without world wars. Only a Europe already primed — armed, allied, and rivalrous — could turn one pistol shot into 20 million deaths.

Start hereYear 9 GeographyBiomes & a connected world

Feeding, and connecting, eight billion people.

Four units: the great vegetation zones of the planet, how we turned them into the world's food supply, why hundreds of millions still go hungry anyway — and the trade, tourism and technology that stitch every place on Earth to every other.

The mapFour units

  1. Biomes — why two numbers, temperature and rainfall, predict the vegetation almost anywhere on Earth.
  2. Feeding the world — how farmers push past climate, soil and water limits, and what that costs the environment.
  3. Food security — who goes hungry, why it is mostly about poverty not shortage, and the 2050 challenge.
  4. Interconnections — trade, tourism, transport and the internet: how one phone in your pocket touches five continents.
What Year 9 Geography is actually assessed on

Explaining how biomes produce food, the constraints on production and how people alter them, the causes and consequences of food insecurity — and how interconnections through trade, travel and technology change places and people.

Unit 1Biomes & food securityThe planet's great zones

Biomes: the world sorted by climate

Fly from the equator toward a pole and the vegetation changes in great bands: rainforest, savanna, desert, grassland, forest, tundra. Those bands are biomes — and they are not random. Two numbers place nearly every one.

1.1Two numbers rule everything

A biome is a huge region sharing one broad climate and one broad kind of vegetation and wildlife. What decides which biome grows where? Mostly just how hot it is and how much rain falls:

average temperature → cold hot yearly rainfall ↑ wet dry TUNDRA frozen ground, no trees BOREAL FOREST a belt of hardy conifers TEMPERATE FOREST four seasons, leaf-drop TROPICAL RAINFOREST hot, drenched, teeming GRASSLAND & SAVANNA too dry for forest, too wet for desert DESERT under ~250 mm of rain a year Two numbers — how hot and how wet — predict the biome almost anywhere on Earth.
Figure 1.1 — the biome chartHot + wet grows rainforest; hot + dry makes desert; cold + dry makes tundra. In between, rainfall decides whether trees can win (forest) or only grass can hold on (grassland and savanna). Deserts are defined by dryness, not heat — central Asia's Gobi is a cold desert.

1.2Australia's share

  • Australia is the driest inhabited continent: roughly 70% is arid or semi-arid (approx.) — the desert and scrub Australians call the outback.
  • Across the north: tropical savanna with a drenching wet season and a long dry — cattle country.
  • The south-east and south-west corners: temperate forests and grasslands — where the farms, and nearly all the people, are.
  • Far north Queensland: tropical rainforest. The Daintree is often called the oldest continuously surviving tropical rainforest on Earth.
The soil twist markers love

Lush rainforest, rich soil? Backwards. Rainforest nutrients are held in the living plants and recycled the moment anything falls; the heavy rain leaches (washes) goodness out of the soil itself, so cleared rainforest land exhausts quickly. It is the world's grasslands — with their deep, dark, organic-rich soils — that became the great wheat belts.

Unit 2Biomes & food securityTurning biomes into breakfast

Feeding the world: pushing past the limits

Every meal you have ever eaten came out of a biome. Farming is the art of taking what a biome offers and pushing past what it refuses — and every push has a price.

2.1What limits a harvest — and how farmers fight back

  • Humanity leans astonishingly hard on a few plants: just three crops — rice, wheat and maize — supply about half of all the calories people eat (approx.). Most grain grows on former grasslands, thanks to their deep fertile soils.
  • What limits the harvest anywhere: climate (heat, frost, growing season), water, soil quality, and terrain.
The limitThe fixThe catch
Not enough rainIrrigation — channel, pump or drip water to the cropRivers and groundwater can be drained; salt builds up in soil
Worn-out soilFertiliser puts nitrogen and nutrients backRunoff feeds algal blooms that choke waterways
Low-yielding plantsBetter varieties — the Green Revolution's high-yield wheat and riceNeeds more water and fertiliser to deliver
Too little labourMachinery — one driver harvests hundreds of hectaresExpensive; smallholders can't always afford it
Cold or short seasonsGreenhouses trap warmth and extend the seasonEnergy-hungry

Australia's showcase is the Murray–Darling Basin: irrigation turned dry inland plains into the country's food bowl, growing about a third of Australia's food supply (approx.). The showcase warning is the Aral Sea in central Asia: so much river water was diverted to irrigate cotton from the 1960s that one of the world's largest lakes mostly disappeared.

2.2The salt problem — Australia's own goal

the soil shallow-rooted crops 1 · irrigation water soaks in old watertable — deep and salty new watertable — risen close to the roots 2 · it rises, carrying dissolved salt 3 · water evaporates — salt cannot 4 · a salt crust poisons the topsoil Water moves in, up and out — but the salt only ever moves up. Slowly the paddock turns salty and the crops fail.
Figure 2.1 — how good watering ruins good landSalinity: clearing deep-rooted native plants and adding irrigation water makes the watertable rise, dissolving ancient salt stored in the soil and lifting it to the surface, where evaporation leaves it behind. Large areas of Australian farmland have been damaged this way — fixes include watering precisely (drip irrigation), better drainage, and replanting deep-rooted natives.
Unit 3Biomes & food securityWho eats, who doesn't, and why

Food security: enough food, wrong places

Here is the uncomfortable fact of this unit: the world already grows enough food for everyone. Hundreds of millions go hungry anyway — which means hunger is mostly a problem of poverty, conflict and waste, not of farming.

3.1The definition, and the map

  • Food security means all people, at all times, can get enough safe, nutritious food for an active, healthy life. Miss any part — not enough food, not always, not nutritious — and a person is food insecure.
  • The count of undernourished people sits above 700 million — about one person in eleven — and moves with wars and food prices (approx.; it fell for decades, then rose again after 2019).
  • The hungriest regions are sub-Saharan Africa and South Asia — not because their land can't grow food, but because poverty, conflict and weak infrastructure stand between people and meals.

3.2The leaky pipeline

FARM TRANSPORT & storage SHOP HOME picked shipped bought spoils unpicked — no machines or buyers rots on poor roads, no cold storage unsold, or rejected for how it looks cooked too much, binned uneaten Add up the leaks: roughly one-third of all food produced is never eaten (approx.).
Figure 3.1 — where the food goesIn poorer countries most loss happens early (fields, storage, transport); in richer countries most happens late (shops and homes). That is why the fixes differ: better roads and silos there, better habits here.

3.3Causes — and the road to 2050

What causes food insecurityWhat improves it
Poverty — the food exists, the money doesn'tIncomes, jobs, small loans and training for farming families
Conflict — farms destroyed, aid blockedPeace first; emergency food aid meanwhile
Drought and a changing climateDrought-tolerant varieties, irrigation, climate-smart farming
Poor roads and storage — harvests rotInfrastructure: roads, silos, cold chains
Waste — a third of food never eatenCutting waste at every stage of the pipeline
The 2050 question

By 2050 the world is expected to hold nearly 10 billion people, needing roughly 50% more food than the 2010s (approx.) — while climate change squeezes the very farmland doing the growing. The strongest answers name both sides: grow more sustainably (better yields without new land clearing) and lose less (waste, distribution, fairer access).

Unit 4InterconnectionsTrade · Tourism · ICT · Transport

Interconnections: no place is an island

Your breakfast, your clothes and your phone each connect you to a dozen countries before nine in the morning. Geography's word for this is interconnection — the flows of goods, people, money and information that tie places together.

4.1Four connectors

  • Trade. Australia earns its way selling iron ore (the biggest export), coal, gas, farm produce, education and tourism — mostly to Asia; China is the largest trading partner.
  • Transport. The humble shipping container — a standard steel box any crane, ship or truck can handle — slashed the cost of moving goods and supercharged world trade. More than 80% of world trade travels by sea (approx.).
  • ICT. Undersea fibre cables carry the internet between continents, letting money, work and ideas move instantly — though the digital divide means billions still lack fast, reliable access.
  • Tourism. One of the world's biggest industries — about 1.4 billion international trips in 2019 (approx.). It funds jobs and conservation, and can also crowd, price out and wear down the very places people come to see.

4.2One phone, five continents

1 · DESIGN at the brand's HQ USA, South Korea… 2 · MATERIALS lithium: Australia, Chile cobalt: DR Congo 3 · PARTS chips: Taiwan, Korea screens: Korea, Japan 4 · ASSEMBLY China, India, Vietnam 5 · SHIPPING container ships and air freight 6 · SOLD and used, in nearly every country each arrow = the phone's journey to its next stage — and usually an ocean crossed 7 · E-WASTE only a small share is ever recycled Each stage changes the place it happens in: mining towns boom, factory cities grow — and e-waste piles up where rules are weakest.
Figure 4.1 — a production–consumption chainFollow one phone and you draw a map of the modern world: knowledge work where wages are highest, mining where the rocks are, assembly where labour is cheaper, and waste wherever it is easiest to dump. Every stage brings jobs to its place — and each carries costs, from mine sites to factory conditions to toxic e-waste.
Figure 4.2 — the phone's journey on the mapThe same seven stages as the diagram, now on the globe. Count the ocean crossings: at least four before the phone is even sold.
The sentence that earns marks

Interconnection questions want effects on places, both directions: "Tourism brings income and jobs to Bali but strains its water supply and roads." Goods, people, money and information flow — and every flow changes both ends.

Start hereYear 10 ScienceBiological sciences

The instruction book, and how it changes.

Four units: the DNA molecule every cell carries, how characteristics pass from parents to children, how populations change over generations, and the evidence that ties it all together — built from AC9S10U01 and AC9S10U02.

The mapFour units

  1. DNA and genes — the double helix, the base-pairing rule, and how genes sit on chromosomes.
  2. Inheritance — dominant and recessive alleles, Punnett squares, and predicting a cross's outcomes.
  3. Evolution by natural selection — the four-step engine that changes populations over generations.
  4. Evidence and applications — fossils, matching bones, DNA comparisons, and what we now do with DNA.
What Year 10 Biology is actually assessed on

AC9S10U01 — DNA and genes carry the heritable information; inheritance of characteristics can be predicted, for example with Punnett squares.

AC9S10U02 — the theory of evolution by natural selection explains the diversity of life, and multiple independent lines of evidence support it.

Unit 1AC9S10U01DNA · Genes · Chromosomes

DNA and genes: the instructions in every cell

Almost every cell in your body carries a complete copy of the same molecule: DNA. Stretched out, one cell's worth is about two metres long — folded into a nucleus a hundredth of a millimetre wide. This unit is about what that molecule is and how it stores instructions.

1.1A ladder with a rule

AT GC TA CG Sugar-phosphate backbone the two side rails — one each side One rung = one base pair two bases joined across the middle A base — one of four letters A, T, G or C; their order is the code THE RULE: A PAIRS ONLY WITH T · G PAIRS ONLY WITH C Check every rung above. Shown untwisted — in the cell the ladder twists into the famous double helix.
Figure 1.1 — DNA as a ladderTwo backbone rails, joined by rungs. Each rung is a pair of bases, and the pairing is strict: A with T, G with C, never anything else. That strictness is the whole trick — if you know one side of the ladder, you can always rebuild the other, which is exactly how a cell copies its DNA before dividing.

1.2From base to chromosome

  1. Base — one letter of the code: A, T, G or C. The order of the letters carries the information.
  2. Gene — a stretch of DNA, often thousands of bases long, holding the instructions for building one protein. Proteins do the actual work — enzymes, pigments, hormones, building materials — so genes control characteristics.
  3. Chromosome — one very long DNA molecule coiled up tightly with proteins. Humans have 46 chromosomes, arranged as 23 pairs — one of each pair from your mother, one from your father.
  • Because chromosomes come in pairs, you carry two copies of each gene. The versions can differ: each version is called an allele. In pea plants, the height gene comes as a "tall" allele and a "short" allele.
  • The full human genome is about 3 billion base pairs and roughly 20,000 genes. Every cell carries all of it; different cell types just switch different genes on.
  • Occasionally the copying makes an error — a mutation. Most change nothing, a few are harmful, and a rare few are useful. Hold that thought for Unit 3: mutation is where new variation comes from.
Words people mix up

DNA is the molecule. A gene is a meaningful stretch of it. A chromosome is a coiled-up package of it. Smallest to largest: base → gene → chromosome. And an allele is not a different thing again — it is simply one version of a gene.

Unit 2AC9S10U01Alleles · Punnett squares

Inheritance: predicting the next generation

You have two alleles of each gene; a parent passes exactly one of them to each child, at random. From that single fact, a monk counting pea plants in the 1860s worked out rules that let you predict inheritance — and a simple grid does the arithmetic.

2.1The vocabulary, fast

WordMeansExample (T = tall allele, t = short allele)
Dominant alleleShows its effect with just one copy; written as a capital letterT
Recessive alleleOnly shows when both copies are recessive; lower caset
GenotypeThe allele pair an organism carries — the lettersTT, Tt or tt
PhenotypeWhat the organism actually looks like — the trait you seetall or short
HomozygousBoth alleles the sameTT or tt
HeterozygousThe two alleles differ — the dominant one showsTt → tall

2.2The Punnett square

Tt Tt TTTt Tttt talltall tallshort Parent 1: Tt (tall) — each gamete carries one allele Parent 2: Tt (tall) its gametes, down the side Genotypes: 1 TT : 2 Tt : 1 tt Phenotypes: 3 tall : 1 short read the four boxes TT and both Tt look tall The only short one: tt — recessive needs two t alleles Each box = one equally likely combination: one allele from each parent. Four boxes = four 25% chances.
Figure 2.1 — the cross Tt × TtWrite one parent's gametes across the top, the other's down the side, then fill each box with the two letters that meet there. This cross gives genotypes 1 TT : 2 Tt : 1 tt and phenotypes 3 tall : 1 short — the famous 3:1 ratio. Two tall parents can have a short offspring, because both were secretly carrying a hidden t.
Answering a cross question, for full marks

Four moves, every time: (1) define the letters ("let T = tall, t = short"); (2) write the parents' genotypes; (3) draw the square and fill all four boxes; (4) state the ratios — genotype AND phenotype. A ratio is a prediction of chances, not a promise: a real family of four might easily be all tall.

2.3Boy or girl: the 23rd pair

  • Twenty-two of your chromosome pairs match. The 23rd pair is the sex chromosomes: XX makes a female, XY makes a male.
  • Every egg carries an X. Sperm carry either X or Y, half and half — so it is the sperm that settles the question, and each pregnancy is a 50 : 50 chance. (Draw it: XX × XY is just another Punnett square.)
Dominant does not mean common, or better

Dominant only means "shows with one copy". A dominant allele can be rare (most people have no extra fingers, though that allele is dominant) and a recessive one can be everywhere. Never write "stronger gene" — markers cross it out.

Unit 3AC9S10U02Variation · Selection · Time

Evolution by natural selection: the four-step engine

No individual ever evolves. What changes is a population, over generations, because some inherited variations help their owners survive and reproduce more than others. Four steps, endlessly repeated — that is the whole theory.

3.1The four steps

  1. Variation. Individuals in a population differ — in colour, speed, chemistry — and much of that variation is inherited. New variation keeps arriving by mutation.
  2. Selection pressure. Something in the environment — predators, disease, drought, a new chemical — makes survival a competition that not everyone wins.
  3. Survival and reproduction. Individuals whose variations suit the environment are more likely to live long enough to breed. Surviving is only half the job; the trait must reach offspring.
  4. Inheritance, over time. The helpful alleles are passed on, so the next generation has more of them. Repeat for many generations and the population as a whole shifts — it has evolved.

3.2Two textbook cases

  • The peppered moth. Before industrial soot, England's tree trunks were pale with lichen, and the pale form of the moth was camouflaged; the rare dark form got eaten by birds. Soot blackened the trunks — suddenly the dark moths were hidden and the pale ones exposed. Within decades, dark moths dominated sooty regions. When clean-air laws lightened the trees again, the pale form came back. Same four steps, run twice in opposite directions.
  • Antibiotic resistance. In any huge population of bacteria, a few carry mutations that happen to protect them from an antibiotic. The drug kills the rest — a massive selection pressure — and the survivors multiply into a resistant population. Bacteria breed in minutes, so this is evolution fast enough to watch, and it is why doctors say to use antibiotics carefully.
The mistake that costs the most marks

The moths did not "turn dark to adapt", and the bacteria did not "learn to resist". The variation already existed before the pressure arrived; the environment merely decided which existing variants survived to breed. Selection chooses — it never creates on demand.

3.3New species

  • A species is a group whose members can breed together and produce fertile offspring.
  • Speciation: split one population in two — an ocean, a mountain range — and each half faces different pressures and drifts its own way. Given enough generations, the two groups become so different they can no longer interbreed: one species has become two. Australia's long isolation is why so many of its species exist nowhere else.
Unit 4AC9S10U02Fossils · Anatomy · DNA

The evidence — and what we do with DNA now

A scientific theory earns its keep through evidence from independent directions that all point the same way. Evolution has three classics — and the same DNA science now runs forensics labs and farms.

4.1Three lines of evidence

  1. The fossil record. Deeper rock layers are older, and reading upward the story is consistent: simpler organisms in ancient layers, later forms appearing above them, and transitional fossils — like whales with leg bones — capturing change mid-journey. No fossil has ever turned up in a layer that breaks the sequence.
  2. Comparative anatomy. A human arm, a whale flipper, a bat wing and a cat leg do utterly different jobs — yet inside they share the same layout of bones. These homologous structures make no sense as separate inventions, and perfect sense as one ancestral limb reshaped by selection for different lives.
  3. DNA comparison. If species share ancestors, their DNA should still show it — and it does. Humans and chimpanzees share roughly 98–99% of their DNA; more distant relatives share progressively less. The family tree built from DNA matches the one built from fossils and anatomy — three independent methods, one answer.

4.2Applications: DNA put to work

  • DNA profiling. Except for identical twins, no two people share a whole DNA profile. Comparing a handful of highly variable DNA regions can match a crime-scene sample to a person, settle who a child's parents are, or identify remains. A profile match is powerful evidence — but courts still weigh how the sample was collected and handled.
  • Genetically modified organisms (GMOs). Scientists can now move a gene directly into an organism's DNA — for example, most Australian cotton carries a bacterial gene that protects it from caterpillars, which has greatly cut insecticide spraying. Supporters point to less spraying and hardier crops; others raise questions about long-term ecosystem effects and want clear labelling. Both the benefits and the concerns are part of the science conversation — a good answer can state each side.
  • Note the difference in speed: selective breeding has shaped crops and dogs for thousands of years by choosing parents; genetic modification edits the DNA directly in one step.
The exam phrase that scores

"Multiple independent lines of evidence support the theory." Fossils, anatomy and DNA don't rely on each other — any one could have contradicted the rest, and instead each confirms the same family tree. That agreement, not any single fossil, is why the theory is accepted.

Start hereYear 10 ScienceChemical sciences

Why atoms do what they do.

Four units: what the periodic table's shape really means, the three ways atoms stick together, how to balance a chemical equation properly, and what makes reactions run fast or slow — built from AC9S10U06 and AC9S10U07.

The mapFour units

  1. The periodic table, properly — periods, groups, and why one column behaves as a family.
  2. Bonding — ionic, covalent and metallic: three ways to a full outer shell.
  3. Reactions and equations — conservation of mass, balancing, acids, and the pH scale.
  4. Reaction rates — collision theory and the four dials that speed a reaction up.
What Year 10 Chemistry is actually assessed on

AC9S10U06 — the periodic table's structure reflects atomic structure, and an element's position lets you predict its properties and how it bonds.

AC9S10U07 — chemical reactions can be represented by balanced equations because mass is conserved, and reaction rates depend on collisions between particles.

Unit 1AC9S10U06Periods · Groups · Shells

The periodic table, properly

Last year the table was a map. This year you get the reason for the map: electrons sit in shells, the shells fill in a fixed order — 2, then 8, then 8 at this level — and an atom's chemistry is decided almost entirely by its outermost shell.

1.1Two atoms that explain the table

11p 17p Sodium's 1 outer electron highlighted gold — remember it for Unit 2 Electron shells dashed rings Space for 1 more electron the dashed empty spot Sodium (Na) — 2, 8, 1 gives its 1 outer electron away easily Chlorine (Cl) — 2, 8, 7 grabs 1 extra electron eagerly Blue dots = electrons · the centre circle is the nucleus, showing its protons · shells fill 2, then 8, then 8
Figure 1.1 — sodium and chlorine, shell by shellSodium (11 electrons) fills up as 2, 8, 1; chlorine (17) as 2, 8, 7. Sodium's lonely outer electron is easy to lose; chlorine's outer shell is one short of full. That is why both are ferociously reactive — and why, in Unit 2, they are made for each other.

1.2What the table's shape means

  • A period (row) counts the shells: period 1 elements use one shell, period 2 use two, period 3 use three. Moving right along a period adds one electron at a time to the same outer shell.
  • A group (column) collects elements with the same number of outer-shell electrons — sodium (2,8,1) sits under lithium (2,1) because both have one outer electron. Same outer shell, same chemical behaviour: that is why a column is a family.
  • Metals fill the left and centre (about three quarters of the table); non-metals sit to the top-right; a staircase of metalloids (like silicon) runs between them, part-way in properties — silicon semi-conducts, which is why your phone is full of it.

1.3Three families, three trends

FamilyOuter shellBehaviour and trend
Group 1 — alkali metals (Li, Na, K)1 electronDesperate to lose it → very reactive; reactivity increases down the group — lithium fizzes in water, potassium bursts into lilac flame
Group 17 — halogens (F, Cl, Br, I)7 electronsDesperate to gain one → very reactive; reactivity increases up the group — fluorine is the fiercest of all
Group 18 — noble gases (He, Ne, Ar)FullNothing to gain or lose → almost completely unreactive. The whole point of bonding is to end up like them
The one sentence that explains the table

Elements in the same group have the same number of outer-shell electrons, so they react in the same way. Say it with an example — "sodium (2,8,1) and lithium (2,1) both have one outer electron to lose" — and the mark is yours.

Unit 2AC9S10U06Ionic · Covalent · Metallic

Bonding: three roads to a full outer shell

Atoms bond for one reason: a full outer shell is stable, like a noble gas. There are three ways to get one — give electrons away, share them, or pool them — and each way builds materials with completely different personalities.

2.1Ionic bonding: the transfer

11p +1 17p −1 the 1 outer electron, transferred (gold) Na⁺ ion — 2, 8 11 protons, only 10 electrons → charge +1 Cl⁻ ion — 2, 8, 8 17 protons, 18 electrons → charge −1 OPPOSITE CHARGES ATTRACT — THAT PULL IS THE IONIC BOND
Figure 2.1 — sodium chloride, bornSodium hands its single outer electron to chlorine. Both now have full outer shells — but the electron count no longer matches the protons, so both are charged ions: Na⁺ and Cl⁻. The attraction between them locks billions of ions into a rigid lattice — a grain of table salt.

2.2Covalent bonding: the share

  • Two non-metals have the same problem — both want electrons, neither will give any up. Solution: share pairs. Each shared pair counts toward both atoms' outer shells, and each shared pair is one covalent bond.
  • Water, H₂O: oxygen (2,6) needs two more electrons; each hydrogen needs one. Oxygen shares one pair with each of two hydrogens — everyone full.
  • Carbon dioxide, CO₂: carbon (2,4) needs four; each oxygen needs two. Carbon shares two pairs with each oxygen — a double bond on each side.
  • Sharing builds small, self-contained molecules. The bonds inside a molecule are strong, but molecules barely grip each other — so covalent substances tend to be gases or liquids with low melting points, and they don't conduct electricity.

2.3Metallic bonding: the pool

  • Metal atoms all want to lose outer electrons — so in a lump of metal, they all do. The freed electrons form a mobile "sea of electrons" drifting between a lattice of positive metal ions, and that shared glue is the metallic bond.
  • The sea explains the metal personality: free electrons carry charge → metals conduct electricity; the glue is non-directional, so layers of ions can slide without shattering → metals bend and stretch; the grip is strong → high melting points.

2.4Match the bond to the properties

BondBetweenElectrons are…Typical properties
IonicMetal + non-metalTransferred → ionsHard crystals, high melting point; conduct only when molten or dissolved (ions must be free to move)
CovalentNon-metal + non-metalShared in pairsMolecules; low melting points; don't conduct
MetallicMetal atomsPooled into a mobile seaConduct when solid, bendable, mostly high melting points
Salt in the wire trick question

Solid sodium chloride does NOT conduct electricity — its ions are charged but locked in the lattice. Melt it, or dissolve it in water, and the ions can move: now it conducts. "Charged particles that are free to move" is the phrase that earns the mark.

Unit 3AC9S10U07Balancing · Acids · pH

Reactions and equations: making the books balance

Atoms are never created or destroyed in a reaction — only rearranged. A balanced equation is just honest bookkeeping: the same count of every atom on both sides of the arrow.

3.1One balanced equation, drawn

hydrogen 2 H₂ + oxygen O₂ react water 2 H₂O blue = hydrogen atom red = oxygen atom BEFORE: 4 hydrogens · 2 oxygens AFTER: 4 hydrogens · 2 oxygens 2H₂ + O₂ → 2H₂O — same count of every atom on both sides: mass is conserved.
Figure 3.1 — 2H₂ + O₂ → 2H₂OCount each colour: four hydrogens and two oxygens before, four hydrogens and two oxygens after. Plain "H₂ + O₂ → H₂O" would claim an oxygen atom vanished — which never happens. The big 2s (coefficients) fix the books.

3.2How to balance any equation

  1. Write the correct formulas and never touch them again. Balancing may not change a formula's little subscript numbers — H₂O is water; H₂O₂ is bleach.
  2. Count every element on each side. A coefficient multiplies the whole formula: 2H₂O means 4 H and 2 O.
  3. Add coefficients — the big numbers in front — until the counts match. Adjust one element at a time; leave lone elements (like O₂) until last.
  4. Recount everything. Worked example: CH₄ + O₂ → CO₂ + H₂O. Carbon is fine; hydrogen needs 2H₂O; that makes 4 O on the right, so 2O₂. Result: CH₄ + 2O₂ → CO₂ + 2H₂O — 1 C, 4 H, 4 O each side.

3.3Acids, bases and pH

  • The pH scale runs 0–14: below 7 acidic, 7 neutral, above 7 basic (alkaline). Each step is 10× — pH 3 is ten times more acidic than pH 4.
  • Acid + base → salt + waterneutralisation. Example: HCl + NaOH → NaCl + H₂O. It's why antacid tablets calm an acid stomach.
  • Acid + metal → salt + hydrogen gas. Example: Mg + 2HCl → MgCl₂ + H₂ — confirm the gas with the squeaky-pop test.
  • Acid + carbonate → salt + water + carbon dioxide. Example: CaCO₃ + 2HCl → CaCl₂ + H₂O + CO₂ — the fizz on limestone, and the reason acid rain eats statues.
The cardinal sin of balancing

Changing a subscript to make the numbers work invents a different chemical. You may only ever add coefficients — the big numbers in front. If you catch yourself editing a formula, stop and start the count again.

Unit 4AC9S10U07Collision theory · Four factors

Reaction rates: the collision game

Why does a bushfire race while a nail rusts for years? Same science: reactions happen only when particles collide hard enough to react. Everything that changes a reaction's speed works by changing how often, or how hard, particles collide.

4.1Collision theory in three lines

  1. Particles must collide to react — no contact, no reaction.
  2. The collision must carry enough energy to break the old bonds; a gentle bump just bounces.
  3. So the rate = successful collisions per second. More collisions, or harder collisions, means a faster reaction.

4.2The four dials

FactorMechanism — why it worksEveryday example
TemperatureParticles move faster → they collide more often AND harder — the only dial that does bothFood spoils on the bench but keeps in the fridge; a glow stick glows brighter in hot water
ConcentrationMore particles packed in the same space → collisions come more oftenStrong bleach cleans faster than diluted; pure oxygen makes embers flare
Surface areaCrushing a solid exposes buried particles → far more of them are available to be hitKindling catches before a log; flour DUST can explode though a bag of flour won't
CatalystOffers an easier reaction pathway needing less energy → far more collisions succeed — and the catalyst is not used upA car's catalytic converter; the enzymes digesting your lunch right now
  • Slowing a reaction is the same game in reverse: fridges cut temperature, vacuum packs remove the oxygen concentration, paint keeps oxygen and water from ever colliding with the iron underneath.
  • An explosion is only an ordinary reaction with the dials turned all the way up — fine powder, plenty of oxygen, plenty of heat.
Answering a rates question, for full marks

Name the factor, then give the mechanism in collision language: "Raising the temperature makes particles move faster, so they collide more often and with more energy, so more collisions succeed each second and the reaction speeds up." Factor → collisions → rate. Never stop at "it reacts faster because it's hotter" — that repeats the question.

The catalyst trap

A catalyst is not a reactant. It comes out of the reaction unchanged and is never in the equation's reactants or products — one teaspoon can serve millions of collisions. If your answer says the catalyst "gets used up", cross it out.

Start hereYear 10 SciencePhysics

Why things move the way they do.

Four units: how to describe motion with numbers and graphs, the three laws that explain every push and pull, the energy bookkeeping behind it all, and why physics is the reason cars have crumple zones — built from the Year 10 Physical sciences descriptions.

The mapFour units

  1. Describing motion — distance, displacement, speed, velocity, acceleration, and reading motion graphs.
  2. Forces and Newton's laws — the three laws, F = ma, and the difference between mass and weight.
  3. Energy — kinetic and potential energy, conservation, transformations and efficiency.
  4. Physics of safety — stopping distances, why speed is so dangerous, and how cars are built to save you.
What Year 10 Physics is actually assessed on

Describing and predicting motion using Newton's laws and the formulas v = d/t, F = ma, KE = ½mv² and PE = mgh — and using the law of conservation of energy to follow energy through transformations, including in everyday systems like a braking car.

Unit 1AC9S10U05Speed · Velocity · Acceleration

Describing motion: the language of movement

Before physics can explain why things move, it needs precise words and numbers for how they move. Four ideas do all the work: distance, displacement, speed and acceleration — plus two graphs that show a whole journey at a glance.

1.1Distance vs displacement, speed vs velocity

DISTANCE = 400 m — the whole path (300 + 100) walk 300 m east START FINISH TURN AROUND walk 100 m back west DISPLACEMENT = 200 m east — straight from start to finish
Figure 1.1 — distance vs displacementDistance is how far you actually travelled — the whole path, 400 m here. Displacement is how far you ended up from where you started, and in which direction — only 200 m east. The same split gives speed (distance ÷ time, no direction) and velocity (displacement ÷ time, with direction). Run a full lap of an oval and your distance is 400 m — but your displacement, and your average velocity, are zero.

1.2The two formulas

  1. Speed = distance ÷ time, or v = d/t. A sprinter covering 100 m in 12.5 s averages 100 ÷ 12.5 = 8 m/s. Rearranged: d = v × t and t = d ÷ v.
  2. Acceleration = change in velocity ÷ time, or a = Δv/t. A car going from 0 to 24 m/s in 8 s accelerates at 24 ÷ 8 = 3 m/s² — its speed grows by 3 m/s every second.
  3. Slowing down is acceleration too — just negative. Braking from 30 m/s to 10 m/s in 5 s is a change of −20 m/s, so a = −4 m/s²: a deceleration of 4 m/s².
  4. Watch the units. Metres and seconds give m/s; a result in km/h is about 3.6 × the m/s value (60 km/h ≈ 16.7 m/s).

1.3Motion graphs

Figure 1.2 — two runners on one distance–time graphBoth runners start together, but d = 4t is steeper: after 5 s that runner has covered 20 m while d = 2t has covered only 10 m. On a distance–time graph the gradient is the speed — steeper means faster, a flat horizontal line means stopped, and a straight line means constant speed. (On a speed–time graph the gradient is the acceleration instead.)
Reading a motion graph, for full marks

First check the vertical axis: distance–time or speed–time? On distance–time: gradient = speed, flat = stationary. On speed–time: gradient = acceleration, flat = constant speed — not stopped. Mixing these two up is the classic lost mark.

Unit 2AC9S10U05Newton's three laws · F = ma

Forces and Newton's laws

Three sentences, written in 1687, still explain every push, pull, crash and launch — from a shopping trolley to a rocket. Learn the three laws and one formula, F = ma, and forces stop being mysterious.

2.1The three laws

  1. First law (inertia): an object keeps doing what it is doing — staying still, or moving at constant velocity — unless an unbalanced force acts on it. A braking car stops, but the loose phone on the seat keeps going forward: nothing braked the phone.
  2. Second law: an unbalanced force causes acceleration: F = ma. Bigger force, more acceleration; bigger mass, less. The same engine that flings a go-kart forward barely moves a truck.
  3. Third law: forces come in pairs — when A pushes B, B pushes back on A equally hard, in the opposite direction. You jump by pushing down on the ground; the ground pushes you up. A rocket pushes exhaust gas backward; the gas pushes the rocket forward.
THE CAR DRIVING FORCE the engine, pushing forward FRICTION + AIR RESISTANCE pushing back against the motion WEIGHT = mg gravity pulling down SUPPORT FORCE the road pushing up
Figure 2.1 — the forces on a moving carUp and down cancel: the car neither sinks nor floats. Forward and backward decide the motion: driving force bigger than friction + air resistance → the car speeds up; equal → balanced forces, constant velocity (first law); smaller, or braking → it slows. Only the unbalanced leftover force appears in F = ma.

2.2F = ma, and mass vs weight

  1. Worked example: a 1,200 kg car with an unbalanced forward force of 3,000 N accelerates at a = F ÷ m = 3,000 ÷ 1,200 = 2.5 m/s².
  2. Worked example: pushing a 20 kg trolley with 30 N of unbalanced force: a = 30 ÷ 20 = 1.5 m/s². Load it to 60 kg and the same push gives only 0.5 m/s² — triple the mass, a third of the acceleration.
  3. Weight is a force: weight = mg, with g ≈ 9.8 m/s² on Earth. A 50 kg student weighs 50 × 9.8 = 490 N.
  4. Mass is not weight. Mass (kg) is how much matter you are made of — the same everywhere. Weight (N) is gravity's pull on that mass. On the Moon (g ≈ 1.6 m/s²) the same student still has mass 50 kg but weighs only 50 × 1.6 = 80 N.
The trap in every F = ma question

F is the net (unbalanced) force, not the biggest force. If an engine pushes with 2,000 N and friction pushes back with 500 N, use F = 2,000 − 500 = 1,500 N. Balanced forces mean F = 0, so a = 0 — which means constant velocity, not necessarily stopped.

Unit 3AC9S10U05KE · PE · Conservation

Energy: the universe's strict accountant

Energy is never created and never destroyed — it only changes form and changes hands. That single rule, the law of conservation of energy, lets you audit anything from a dropped ball to a power station.

3.1Kinetic and potential energy

  1. Kinetic energy is the energy of movement: KE = ½mv², in joules (J). A 0.16 kg cricket ball bowled at 40 m/s carries KE = ½ × 0.16 × 40² = ½ × 0.16 × 1,600 = 128 J.
  2. The v² matters enormously. Double the speed and KE goes up four times; triple it and KE is nine times bigger. Speed is squared — mass is not.
  3. Gravitational potential energy is stored by lifting: PE = mgh. A 60 kg diver on a 10 m platform stores PE = 60 × 9.8 × 10 = 5,880 J.
  4. Conservation connects them. As the diver falls, PE converts to KE. At the water (ignoring air resistance) all 5,880 J is kinetic: ½ × 60 × v² = 5,880 gives v² = 196, so v = 14 m/s. No force measured, no timer used — the energy audit alone finds the speed.

3.2Transformations and efficiency

100 J of chemical energy stored in the petrol CAR ENGINE burns the fuel to movement to the surroundings 25 J USEFUL kinetic energy — the car moves 75 J WASTED heat and sound spread outward Efficiency = useful ÷ total × 100 = 25 ÷ 100 × 100 = 25%. The 75 J is not destroyed — it spreads out as low-grade heat.
Figure 3.1 — energy through a petrol engineEvery joule is accounted for: 25 + 75 = 100. A typical petrol engine is only about 25% efficient — most of the fuel's energy leaves as heat. Nothing vanishes; it just ends up in forms too spread out to use. Electric motors, by contrast, turn well over 85% of their input into motion.
  • Common transformations: a battery torch turns chemical → electrical → light (+ heat); a wind turbine turns kinetic → electrical; braking turns kinetic → heat in the brake discs.
  • Efficiency = useful energy out ÷ total energy in × 100. An appliance that turns 300 J of input into 240 J of useful output is 240 ÷ 300 × 100 = 80% efficient.
  • Wasted energy is almost always heat — and "wasted" means unusable, not destroyed. The books always balance.
  • A pendulum swaps PE ↔ KE twice every swing: highest point, all PE; lowest point, maximum KE. Air resistance skims a little into heat each pass, which is why it eventually stops.
Unit 4AC9S10U05Stopping distance · Crash safety

The physics of safety: why speed kills

Every road rule and every safety feature in a car is applied physics. Stopping distance comes straight from v = d/t and KE = ½mv²; crumple zones and airbags are Newton's laws, moulded in steel and nylon.

4.1Stopping distance = reaction + braking

Same car, same driver, dry road. Double the speed: reaction distance doubles — braking distance quadruples. 50 km/h reaction ≈ 21 m braking ≈ 14 m ≈ 35 m to stop 100 km/h reaction ≈ 42 m braking ≈ 56 m ≈ 98 m to stop — nearly three times as far Amber = reaction distance (travelled before the brakes touch). Red = braking distance (travelled while the brakes work).
Figure 4.1 — stopping distance at 50 vs 100 km/hReaction distance is covered during the driver's ~1.5 s of thinking time, before braking begins — it grows in step with speed. Braking distance is covered while the brakes convert the car's kinetic energy into heat — and because KE = ½mv², it grows with the square of speed. Total to stop from 100 km/h: almost the length of a football field.

4.2Why speed is the big one

  • At twice the speed a car carries four times the kinetic energy (v is squared) — and the brakes must turn every joule of it into heat before the car stops. That is why braking distance quadruples.
  • Reaction time barely changes with speed, but the distance covered during it doubles when speed doubles — and texting or tiredness stretches the reaction time itself, at any speed.
  • A crash at 60 km/h involves more than twice the energy of one at 40 km/h (36 : 16 — speed squared again). Small speed differences make outsized differences to damage.
  • Wet roads reduce friction, so braking distance stretches further still — the reaction part is unchanged, the braking part grows.

4.3How cars protect you: Newton, applied

  1. The problem (first law): when the car stops suddenly, you do not. Your body keeps moving at the car's old speed until a force stops it. The only question is which force, acting over how much time.
  2. The trick: stretch the time. A crash ends with the same change in velocity no matter what, but a force applied over a longer time can be a smaller force. Every safety feature buys time.
  3. Crumple zones are designed to collapse, so the car stops over a longer distance and time — smaller forces reach the people inside. A rigid car would stop almost instantly, with brutal forces.
  4. Seatbelts stop your body with the car instead of letting it fly into the windscreen — and spread the stopping force across the strong hips and chest.
  5. Airbags inflate in milliseconds so your head is stopped gently over a longer time by a cushion, not suddenly by the dashboard.
The sentence that earns the marks

For any safety feature, write the same three-part logic: it increases the time taken to stop → so the force needed is smaller (same velocity change, spread out) → so less damage to the person. Crumple zone, airbag, seatbelt, bike helmet, gym crash mat — one explanation fits all.

Start hereYear 10 ScienceEarth & space sciences

From the first second to next summer.

Four units: how the universe began and how we know, the life stories of stars, the ocean and air currents that run Earth's climate machine, and the evidence that the machine is changing — built from the Year 10 Earth & space descriptions.

The mapFour units

  1. The Big Bang — the theory, and the two headline pieces of evidence behind it.
  2. Stars and galaxies — how stars are born, live and die, and where the Sun fits in.
  3. Global systems — the spheres, the ocean's conveyor belts, and El Niño vs La Niña.
  4. Climate in the balance — the greenhouse effect, the evidence for change, and the responses.
What Year 10 Earth & Space is actually assessed on

The Big Bang theory explains the origin of the universe, supported by evidence like galactic redshift and the cosmic microwave background — and Earth's global systems (atmosphere, oceans, carbon cycle) interact to set the climate, which human activity is now shifting.

Unit 1AC9S10U03Origin of the universe

The Big Bang: how everything began

About 13.8 billion years ago the entire universe — all its matter, energy, space and even time — began expanding from an unimaginably hot, dense state. That is the Big Bang theory, and it rests on two great pieces of evidence anyone can understand.

1.1What "expanding" actually means

LONG AGO Galaxy A Galaxy B Galaxy C 1 step 1 step TODAY Galaxy A Galaxy B Galaxy C 3 steps 3 steps Seen from A, galaxy B has receded 2 steps — but C, twice as far away, has receded 4. Farther galaxies retreat faster.
Figure 1.1 — space itself stretchesExpansion does not mean galaxies flying outward through space from an explosion point. It means the space between galaxies is stretching, so every distance grows — like dots on an inflating balloon. Every galaxy sees every other one receding; there is no centre and no edge. And whichever galaxy you stand in, the farther ones recede faster — exactly what Edwin Hubble measured in 1929.

1.2Evidence one: galactic redshift

AS IT LEFT THE GALAXY shorter wavelength AS IT REACHES US stretched to a longer, redder wavelength The light is stretched because the space it crossed was stretching while it travelled. This shift toward red is the redshift.
Figure 1.2 — redshiftLight from almost every galaxy arrives stretched toward the red end of the spectrum — and the farther the galaxy, the bigger the stretch. That is precisely what an expanding universe predicts: light from farther away has been travelling longer through stretching space. Redshift turns "the universe is expanding" from an idea into a measurement.

1.3Evidence two: the afterglow

  • If the universe began hot and dense, the glow of that early heat should still be out there — stretched by 13.8 billion years of expansion into faint microwaves coming from every direction.
  • In 1964 two engineers found exactly that, by accident, as a stubborn "hiss" in their antenna: the cosmic microwave background (CMB) — the predicted afterglow, at almost exactly the predicted temperature (about 2.7 degrees above absolute zero).
  • A theory earns trust by making predictions that come true. The Big Bang predicted the CMB before anyone found it — that is why the discovery was so convincing.
  • Running the expansion backwards, with the measured rate, dates the beginning at about 13.8 billion years ago. (Earth, at 4.5 billion years, arrived two-thirds of the way through the story.)
The two evidences, in one sentence each

Redshift: light from distant galaxies is stretched toward red, and more so the farther away they are — so the universe is expanding. CMB: faint microwave radiation arrives evenly from every direction — the leftover glow of the hot early universe. Name both, and say what each one shows.

Unit 2AC9S10U03Star life cycles

Stars and galaxies: lives of the lights

Stars are born, burn, and die — and how a star dies depends entirely on how massive it is. Our Sun will end quietly; a star twenty times heavier goes out in the brightest explosion in nature.

2.1The life cycle — two roads out

NEBULA cloud of gas and dust gravity pulls it in MAIN SEQUENCE STAR fuses hydrogen into helium the Sun is here now a star like the Sun RED GIANT swells as hydrogen runs low sheds its outer layers WHITE DWARF hot dense core, slowly cooling a much more massive star RED SUPERGIANT huge, burning its fuel fast collapses, then explodes SUPERNOVA brilliant explosion the core that remains NEUTRON STAR city-sized, crushingly dense a very massive core BLACK HOLE gravity so strong light cannot escape
Figure 2.1 — the two roads a star can takeEvery star starts the same way: gravity collapses a nebula until the core ignites hydrogen fusion — a main sequence star. The fork comes at the end: a Sun-like star swells into a red giant and fades as a white dwarf; a far more massive star becomes a red supergiant and dies in a supernova, leaving a neutron star — or, if the collapsing core is massive enough, a black hole. Mass decides everything: bigger stars burn brighter and die younger.

2.2Our address in the universe

  • The Sun is an ordinary main sequence star, about halfway through its roughly 10-billion-year life. In around 5 billion years it will swell into a red giant, then settle down as a white dwarf. It is far too small to ever go supernova.
  • A galaxy is a gravity-bound city of billions of stars. Ours, the Milky Way, holds well over 100 billion stars; the Sun sits in one of its spiral arms, orbiting the centre. The universe holds billions of such galaxies.
  • A light-year is a distance, not a time: how far light travels in a year, about 9.5 trillion km. The next star past the Sun is over 4 light-years away; the Milky Way is about 100,000 light-years across.
  • Because light takes time to arrive, telescopes are time machines: see a galaxy 10 million light-years away and you see it as it was 10 million years ago.
  • Supernovas matter to you: the explosion forges and scatters heavy elements. The iron in your blood and the calcium in your bones were made inside earlier generations of stars.
Unit 3AC9S10U04Oceans · El Niño · La Niña

Global systems: the climate machine

Earth's air, water, land and life are one connected machine. Ocean currents shuttle heat around the planet, and when one Pacific pattern hiccups, Australia swings between drought and flood.

3.1The ocean's conveyor belt

TROPICS — hot POLES — cold warm surface current — carries heat toward the poles cools, gets denser, sinks cold deep current — flows back toward the tropics warms and rises The ocean in cross-section. One full loop of this global conveyor takes centuries.
Figure 3.1 — thermohaline circulationOcean water moves in a global loop driven by density: at the poles, water that is cold and salty (thermo = heat, haline = salt) is denser, so it sinks and creeps back along the ocean floor, pulling warm surface water poleward behind it. This conveyor redistributes the tropics' surplus heat worldwide — it is why north-west Europe is far milder than its latitude deserves.
  • The four spheres from Year 9 — atmosphere, hydrosphere, biosphere, geosphere — constantly exchange energy and matter. A change in one ripples through the others: that is what "global systems" means.
  • The tropics receive far more solar energy than the poles. Ocean currents and winds exist to move that surplus heat — they are the planet's heating ducts.
  • Surface currents are pushed mainly by winds; the deep conveyor is driven by density differences from temperature and salt.

3.2El Niño and La Niña — Australia's mood swings

  1. Normal years: steady trade winds blow westward across the Pacific, piling warm surface water up near Australia and Indonesia. Warm sea makes rising moist air — and rain.
  2. El Niño: the trade winds weaken, and the warm water drifts back east toward South America. The rain-making machinery goes with it: eastern Australia turns hotter and drier — drought years, tougher bushfire seasons.
  3. La Niña: the trade winds strengthen, piling even more warm water against Australia. More evaporation, more storms: wetter years and higher flood risk in eastern Australia — as in the floods of 2010–11 and 2022.
  4. Each phase typically lasts around a year, returning every few years. It is a natural cycle, not caused by climate change — but it swings on top of the warming trend, like waves on a rising tide.
Keeping the two straight

Follow the warm water: warm water near Australia → rain in Australia. La Niña piles it here — floods. El Niño lets it slump toward South America — drought here, and unusually wet weather over there. Wind strength is the lever: weaker trades = El Niño, stronger trades = La Niña.

Unit 4AC9S10U04Greenhouse effect · Evidence · Responses

Climate in the balance

The greenhouse effect is not the villain — without it Earth would be frozen. The issue is the extra blanket humans have added. Here is the mechanism, the evidence, and the two kinds of response, calmly and factually.

4.1The mechanism

THE SUN THE ATMOSPHERE greenhouse gases: carbon dioxide, methane, water vapour sunlight passes through the atmosphere the warm surface radiates heat up some heat escapes to space greenhouse gases send some heat back down EARTH'S SURFACE — absorbs sunlight and warms up Solid arrows: energy arriving and leaving. Dashed arrow: the fraction greenhouse gases return — the blanket.
Figure 4.1 — the greenhouse effectSunlight passes through the air easily; the heat the warmed ground radiates back does not — greenhouse gases absorb part of it and re-emit some downward. This natural greenhouse effect keeps Earth about 33 °C warmer than it would otherwise be: without it, a frozen planet. The enhanced greenhouse effect is the same mechanism with extra CO₂ from burning fossil fuels — a thicker blanket, trapping more heat.

4.2The evidence

  • Thermometers: direct records since about 1850 show the global average temperature has risen roughly 1.2 °C, with the most recent decade the warmest on record.
  • Ice cores: bubbles of ancient air trapped in Antarctic ice preserve an 800,000-year record. Across all of it, CO₂ stayed between about 180 and 300 parts per million — today it is above 420 ppm, and the rise tracks fossil-fuel use.
  • Sea level: rising about 20 cm since 1900 and accelerating — warming water expands, and land ice adds meltwater.
  • The carbon-cycle link (from Year 9): combustion returns carbon buried over millions of years to the air in centuries — faster than photosynthesis and the oceans can absorb it, so atmospheric CO₂ climbs.
  • Multiple independent lines of evidence — thermometers, ice, oceans, satellites — all point the same way. That agreement is what makes the conclusion strong.

4.3Two kinds of response

  1. Mitigation — reduce the cause: renewable energy, electric transport, efficient buildings, protecting and planting forests that absorb CO₂.
  2. Adaptation — adjust to the change already underway: sea walls, drought-tolerant crops, better storm drains, smarter bushfire planning.
  3. They are partners, not rivals: mitigation limits how much the climate changes; adaptation manages the change that can no longer be avoided. Serious plans — including Australia's — use both.
Natural vs enhanced — say both halves

Full marks needs the distinction: the greenhouse effect is natural and necessary (Earth habitable at all), and the problem is the enhanced effect — extra greenhouse gases from human activity trapping extra heat. One mechanism, two versions; name the gases (CO₂, methane, water vapour) and the human source (burning fossil fuels).

Start hereYear 10 MathematicsAC9M10

The year of the parabola.

Quadratics you can factorise and solve, parabolas you can bend on a live graph, pairs of equations solved at a glance — and trigonometry pointed at real buildings. Built from the Year 10 content descriptions.

The mapFour units

  1. Factorising quadratics — turning x² + 5x + 6 back into (x + 2)(x + 3), and why that instantly solves equations.
  2. Parabolas, live — roots, intercepts and turning points on a graph you can edit.
  3. Simultaneous equations — two equations, one answer: where the lines cross.
  4. Trigonometry at work — angles of elevation and depression, and finding angles with inverse ratios.
What Year 10 Maths is actually assessed on

Expanding and factorising quadratic expressions, solving them with the null factor law, sketching parabolas and reading their key features, solving linear simultaneous equations graphically and algebraically, and applying trigonometry to practical problems.

Unit 1AC9M10A01Quadratics

Factorising & solving quadratics

Year 9 expanded (x + 2)(x + 3) into x² + 5x + 6. Year 10 runs the road backwards — and the payoff is huge: a factorised quadratic solves itself.

1.1Two numbers do all the work

To factorise x² + bx + c, hunt for two numbers that multiply to c and add to b.

  1. x² + 5x + 6: multiply to 6, add to 5 → 2 and 3. So (x + 2)(x + 3).
  2. x² − x − 12: multiply to −12, add to −1 → −4 and 3. So (x − 4)(x + 3).
  3. x² − 9: no middle term — difference of squares: (x − 3)(x + 3).
  4. Always check by expanding back. Ten seconds, catches everything.

1.2The null factor law

If two things multiply to zero, at least one of them is zero. That turns factorising into solving:

  1. x² + 5x + 6 = 0 → (x + 2)(x + 3) = 0.
  2. So x + 2 = 0 or x + 3 = 0.
  3. x = −2 or x = −3. Two solutions — quadratics usually have two.
The law needs a zero

(x − 1)(x − 2) = 6 does not mean x − 1 = 6 or x − 2 = 6. The product must equal 0 for the law to fire — move everything to one side first.

Unit 2AC9M10A02Parabolas

Parabolas, live

Every quadratic graphs as a parabola. Three features tell its whole story: where it crosses the x-axis (the roots), where it crosses the y-axis, and its turning point.

2.1Reading a parabola's features

Figure 2.1 — y = (x − 1)(x − 3)The factorised form hands you the roots: x = 1 and x = 3 make a factor zero. The turning point sits halfway between them at x = 2, where y = (2−1)(2−3) = −1. The y-intercept is y = (0−1)(0−3) = 3.

2.2The family of curves

Figure 2.2 — sliding and flipping y = x²Adding or subtracting a constant slides the parabola up or down. A negative in front of x² flips it: the turning point becomes a maximum. The number multiplying x² controls how narrow or wide it opens.
Unit 3AC9M10A04Simultaneous

Simultaneous equations

Two equations, two unknowns, one pair of values that satisfies both. On a graph that pair is simply the point where the two lines cross.

3.1The graphical method

Figure 3.1 — y = x + 1 meets y = −x + 3The crossing point (1, 2) is the only point lying on both lines — the only (x, y) satisfying both equations at once. That's what «solving simultaneously» means.

3.2The substitution method

Graphs are great for seeing; algebra is exact. Solve y = 2x and x + y = 6:

  1. Substitute the first equation into the second: x + 2x = 6.
  2. Solve: 3x = 6, so x = 2.
  3. Back-substitute: y = 2 × 2 = 4. Solution: (2, 4).
  4. Check in both originals: 4 = 2×2 ✓ and 2 + 4 = 6 ✓.
When lines never cross

Parallel lines (same gradient, different intercepts) have no solution — the equations contradict each other. And two equations describing the same line have infinitely many. The picture explains the algebra every time.

Unit 4AC9M10M03Trigonometry

Trigonometry at work

Year 9 found missing sides. Year 10 points the triangle at the world — heights of buildings, angles of ramps — and runs the ratios backwards to find angles.

4.1Angles of elevation and depression

observer tower 40 m line of sight 45° angle of elevation height = 40 × tan 45° = 40 m tan 45° = 1, so height equals distance
Figure 4.1 — elevation, drawn to scaleThe angle of elevation is measured up from the horizontal to the line of sight. Here it is exactly 45°, so tan gives height = 40 × tan 45° = 40 m — the drawing's rise and run are equal, as 45° demands. Looking down from a cliff, the same angle below the horizontal is the angle of depression.

4.2Finding the angle: inverse ratios

  1. When the sides are known and the angle isn't, run the ratio backwards with the calculator's sin⁻¹, cos⁻¹ or tan⁻¹ buttons.
  2. Example: a ramp rises 3 m over a 4 m run. tan θ = 3/4 = 0.75, so θ = tan⁻¹(0.75) ≈ 36.9°.
  3. Sanity-check the size. A ratio under 1 for tan means the angle is under 45°; steeper than 45° means opposite > adjacent.
Start hereYear 10 EnglishArgument & craft

Writing that argues.

Four units: building an essay around a real contention, comparing two texts without writing two separate essays, decoding irony and satire, and the final layer of polish — cohesion and register — that separates a good essay from a great one. Built from the Year 10 English descriptions.

The mapFour units

  1. Thesis and structure — the contention, topic sentences, and the architecture of an essay.
  2. Comparing texts — comparative language, integrated vs block structure.
  3. Satire, irony and tone — the three ironies, and how satire ridicules its targets.
  4. Polish: cohesion and register — cohesive ties, nominalisation, active and passive voice, and editing.
What Year 10 English is actually assessed on

Sustained, structured argument: a defensible contention carried through an entire essay, evidence from texts (often two, compared), control of register, and the ability to read texts that don't say what they mean — irony and satire.

Unit 1WritingContention · Topic sentences · Architecture

Thesis and structure: the essay as argument

An essay is not a container for everything you know. It is a single argument — your contention — sustained from the first sentence to the last, with every paragraph pulling in the same direction.

1.1The contention

  • A contention is an arguable position — a claim a reasonable person could dispute. If nobody could disagree, it isn't a contention, it's a fact.
  • It must answer the question actually asked, and be specific enough to steer every paragraph.
  • Announcements are not contentions. "This essay will discuss themes in the novel" argues nothing.
WeakWhy it failsStrong
Nineteen Eighty-Four is about power.A topic, not a position — nothing to disputeOrwell presents power as inherently corrupting, not merely corruptible.
This essay will discuss Macbeth's ambition.An announcement — it promises, but argues nothingMacbeth's downfall owes more to Lady Macbeth's goading than to his own ambition.

1.2Topic sentences: the contention's soldiers

  • Each body paragraph opens with a topic sentence: one mini-claim that advances the contention from a new direction.
  • Test: read your contention, then just your topic sentences. Alone, they should form the skeleton of the whole argument.
  • A topic sentence that retells plot ("Then Macbeth kills Duncan") advances nothing — it must interpret, not narrate.

1.3The architecture

INTRODUCTION hook · contention · signpost the arguments to come BODY 1 — strongest argument topic sentence → evidence → analysis → link (a full TEEL) BODY 2 — second argument a new angle on the contention, not the same point again BODY 3 — the counter-argument, confronted state the strongest objection fairly, then show why your contention survives it CONCLUSION restate the contention in fresh words · widen out · no new evidence Read top to bottom — every box exists to serve the contention stated in the first one.
Figure 1.1 — the essay skeletonFive parts, one argument. The introduction promises, the bodies deliver, the conclusion collects. Handling the counter-argument is a Year 10 expectation: showing your contention survives the best objection makes it stronger, not weaker.
Unit 2WritingIntegrated vs block · Comparative language

Comparing texts: one essay, two texts

The comparative essay is Year 10's signature task: two texts, one question. The trap is writing two separate essays stapled together. The skill is making the two texts talk to each other in every paragraph.

2.1What actually gets compared

  • Not plots and not publication dates — you compare how each text handles a shared theme (power, belonging, justice…) and the techniques each uses to shape meaning around it.
  • The strongest comparisons pair similarity with difference: "Both texts link power to fear, but where Orwell's state crushes the individual, Lee's town is resisted by one."
  • Every comparison must serve your contention — a difference that proves nothing is trivia.

2.2Block vs integrated structure

BLOCK Text A — theme & techniques paragraphs 1–2 Text B — theme & techniques paragraphs 3–4 Comparison — at last often squeezed into the conclusion easier to write — but the texts barely meet until the end INTEGRATED Idea 1 — both texts A and B compared inside the paragraph Idea 2 — both texts similarity and difference, every time Idea 3 — both texts organised by idea, never by text harder to write — but the comparison is continuous, and markers reward it Same essay question, two ways to arrange it. Integrated keeps both texts in play in every paragraph.
Figure 2.1 — block vs integratedBlock deals with one text at a time and compares late. Integrated organises by idea, drawing on both texts in every paragraph — the comparison never stops, which is exactly what the criteria ask for.

2.3The language of comparison

Signalling similaritySignalling difference
similarlywhereas
likewiseby contrast
in the same wayconversely
both texts…on the other hand
each writer…while A does X, B…
The one-sentence habit

In an integrated paragraph, make at least one sentence hold both texts at once: "Both writers weaponise setting, but whereas Orwell's city surveils its citizens, Lee's town watches its neighbours." That single sentence proves genuine comparison.

Unit 3TextsThree ironies · Satire's toolkit

Satire, irony and tone: texts that don't say what they mean

Irony is a gap — between what is said and meant, between what is expected and what happens, between what the audience knows and a character doesn't. Satire weaponises those gaps to ridicule its targets. Reading both means reading against the surface of the words.

3.1The three ironies

TypeThe gapExample
Verbal ironySaid vs meant — the speaker means the opposite"Lovely weather," she says, soaked to the skin.
Situational ironyExpected vs what happensThe fire station burns down.
Dramatic ironyWhat the audience knows vs what a character knowsWe know Juliet is alive; Romeo does not.
Irony vs sarcasm

Sarcasm is verbal irony with a target and a sneer — meant to mock or wound. All sarcasm is verbal irony; not all verbal irony is sarcasm. "Lovely weather" mocks nobody; "Nice one, genius" does.

3.2Satire: ridicule with a purpose

  • Satire uses humour, irony and exaggeration to ridicule vice or folly — usually in the powerful — with the aim of provoking change, not just laughs.
  • Every satire has a target. Finding it is step one of any analysis: who or what is being ridiculed, and what is the satirist implying should change?
  • Political cartoons, mock news programs and novels like Animal Farm are all satire — the packaging differs, the mechanism doesn't.
TechniqueHow it worksExample
ExaggerationInflates a flaw until it cannot be ignoredA cartoon draws the CEO's pay cheque so long it wraps around the building
ParodyImitates a familiar style or format to mock itA sketch copies the nightly news format to expose its shallow coverage
IncongruityPairs things that don't belong together, so the absurdity showsA billionaire lectures the nation on belt-tightening from a gold-plated podium
UnderstatementDownplays something huge, making the gap the jokeAfter the budget disaster, the minister calls it "a minor hiccup"
ReversalFlips normal roles or hierarchies to expose themA world where children set the rules and adults get detention
Analysing satire for full marks

Three moves: name the technique, identify the target, and state the critique — what the satirist wants the audience to see or change. Satire analysis without a target is just describing jokes.

Unit 4LanguageCohesion · Nominalisation · Editing

Polish: cohesion and register

Two essays can make the same argument and score differently — because one flows. Cohesion is the invisible stitching between sentences; register is the formality dial. Both are mechanical skills you can practise, not talents you're born with.

4.1Cohesive ties: the stitching

  • Reference words — pronouns and pointers that reach back: "Macbeth hesitates. This hesitation is his last honest moment."
  • Connectiveshowever, therefore, moreover, consequently — signal the logical relationship between sentences.
  • Repetition of key nouns and their synonyms — the essay's key terms should echo through it (power… authority… control), keeping every sentence on-topic.
  • Cohesion fails when a pronoun has no clear owner: "Macbeth tells Banquo his plan" — whose plan?

4.2Nominalisation and the passive: the formality dial

  • Nominalisation turns verbs and adjectives into nouns: decidedecision, destroydestruction, failfailure. It packs actions into abstract concepts — the signature of formal, analytical writing.
  • "Because they decided quickly, things went wrong" → "The decision's haste caused the failure." Fewer words, higher register.
  • Active voice: the doer is the subject — "Sam kicked the ball." Direct and vivid. Passive voice: the receiver is the subject — "The ball was kicked (by Sam)."
  • The passive is not an error — it is the right tool when the doer is unknown or unimportant ("the window was broken overnight"), or to keep the topic in the spotlight. It becomes a fault when it hides responsibility or drains energy from every sentence.

4.3The editing checklist

  1. Read it aloud. Your ear catches what your eye forgives — missing words, clunky rhythm, sentences that never end.
  2. Check the skeleton: contention in the intro, topic sentences that advance it, a link in every paragraph.
  3. Interrogate every pronoun: does it, this, their have one clear owner?
  4. Audit the register: hunt down contractions, slang and chatty phrases ("a heap of", "pretty good") in analytical writing.
  5. Cut the padding: "due to the fact that" → "because"; "in this day and age" → "today".
  6. Then proofread spelling and punctuation last — no point polishing sentences you might delete.
Start hereYear 10 HistoryThe modern world, 1918–present

The century that made now.

Four units from 1918 to the present: how a punishing peace bred a second world war, how the fight for rights reshaped Australia and the world, how the globe divided into two armed camps and then reconnected, and how migration made modern Australia what it is.

The mapFour units

  1. World War II — from Versailles to the Holocaust, and Australia's own war: Darwin, Singapore, Kokoda.
  2. Rights and freedoms — from the Universal Declaration to Mabo and the Apology: the struggle for Indigenous rights.
  3. The globalising world — the Cold War, decolonisation, popular culture, and the wall that fell in 1989.
  4. Migration and multicultural Australia — from "populate or perish" to one of the world's most multicultural nations.
What Year 10 History is actually assessed on

Everything from Years 8–9 plus significance and contestability: why the 1967 referendum matters (and what it did not do), how the Anzac and wartime stories are debated, and how to weigh sources with different perspectives. Dates still matter — but the marks are in the why.

Unit 1World War II1939–1945

World War II: the war after the war to end all wars

The Second World War killed more people than any event in human history — and its causes trace straight back to how the First one ended. Understand the Treaty of Versailles and you understand how a failed painter could talk a modern nation into catastrophe.

1.1From Versailles to war

  • The Treaty of Versailles (1919) forced Germany to accept blame for WWI, pay crushing reparations, surrender territory and shrink its army to 100,000 men. Many Germans felt humiliated — and when the Great Depression hit in 1929, that humiliation became political fuel.
  • Adolf Hitler and the Nazis promised to tear up Versailles, restore German greatness, and blamed scapegoats — above all, Jewish people. Hitler became Chancellor in January 1933 and rapidly built a dictatorship.
  • Britain and France responded to his treaty-breaking — rearming, remilitarising the Rhineland (1936), annexing Austria (1938), demanding the Sudetenland (Munich Agreement, 1938) — with appeasement: giving him what he demanded, hoping each demand was the last. It wasn't.
  • On 1 September 1939 Germany invaded Poland. Two days later Britain and France declared war — and Australia's Prime Minister Menzies announced that, as a result, Australia was at war too.
1919 1933 1939 1941 1942 1944 1945 Treaty of Versailles punishes Germany Hitler becomes Chancellor (January) Germany invades Poland — war declared (September) Japan attacks Pearl Harbor (December) Darwin bombed; Singapore falls; Kokoda fought D-Day: Allies land in Normandy (6 June) Germany surrenders (May), then Japan (August) Spacing not to scale — dates are in order along the line.
Figure 1.1 — the arc of the warEurope first: Blitzkrieg conquests, the fall of France (1940), the Battle of Britain fought in the air. Then the war went global: Hitler invaded the USSR (June 1941) and Japan struck Pearl Harbor (7 December 1941), bringing in the United States. From 1942–43 the tide turned — Midway, Stalingrad, El Alamein — through D-Day to Germany's surrender in May 1945 and Japan's in August 1945, after atomic bombs destroyed Hiroshima and Nagasaki.

1.2The Holocaust

  • The Holocaust was the Nazis' systematic, state-organised murder of six million Jewish people — alongside Roma, people with disabilities, Slavic peoples, political prisoners and others.
  • It escalated by stages: legal persecution (the Nuremberg Laws, 1935), organised violence (Kristallnacht, 1938), ghettos and mass shootings after 1939, and from 1942 industrialised murder in death camps such as Auschwitz.
  • It matters to history — not only to remember the victims, but because it shows how propaganda, fear and obedience can turn an educated modern society into an instrument of genocide. The world's answer included the UN's Universal Declaration of Human Rights (1948) and the Genocide Convention.

1.3Australia's war

Portrait of John Curtin
John Curtin1885–1945
Figure 1.2 — 1942: the war comes to AustraliaLook at the distances: Singapore is closer to Darwin than Darwin is to Sydney. That geography is why Curtin brought the troops home from the Middle East and looked to America.
  • Singapore fell on 15 February 1942 — Britain's "impregnable fortress" gone in a week, with about 15,000 Australians among those marched into brutal captivity. The shield Australia had always relied on was broken.
  • Four days later, 19 February 1942, Japanese aircraft bombed Darwin — the first foreign attack on the Australian mainland, killing at least 235 people. More air raids on northern Australia followed.
  • Prime Minister John Curtin declared that Australia now looked to America, "free of any pangs" about its traditional links to Britain — the great turn in Australian foreign policy.
  • On the Kokoda Track in Papua (July–November 1942), Australian troops — at first young, barely trained militia — fought a desperate withdrawal through the mountains and then pushed the Japanese army back, ending the threat of Port Moresby's capture. Kokoda sits beside Gallipoli in Australian memory — with the difference that this time the fight was in defence of Australia itself.
Causes of WWII — the chain to learn

Versailles humiliates Germany → Depression wrecks its economy → Hitler promises revenge and greatness → dictatorship and rearmament → appeasement lets each gamble succeed → Poland is one gamble too far. Appeasement's lesson, as the exam wants it: concessions convinced Hitler the democracies would never fight, making the war bigger when it came.

Unit 2Rights & freedoms1945–present

Rights and freedoms: the long fight to be counted

After the horrors of WWII the world wrote down, for the first time, what every human being is owed: the Universal Declaration of Human Rights. In Australia, the gap between that promise and the lives of Aboriginal and Torres Strait Islander peoples powered a decades-long struggle — fought with petitions, bus rides, referendums and court cases.

2.1The milestones

1938 1948 1965 1967 1972 1992 1997 2008 Day of Mourning protest, 26 January the UN adopts the UDHR the Freedom Ride tours NSW towns referendum: 90.77% vote Yes Tent Embassy raised outside Parliament Mabo: native title recognised Bringing Them Home report tabled the National Apology Spacing not to scale — dates are in order along the line.
Figure 2.1 — seventy years of struggleEach tick is a story, told below. Notice the rhythm: decades of activism building to each breakthrough — nothing on this line was given; all of it was won.

2.2Each milestone, in a sentence or three

  1. Day of Mourning (26 January 1938). While white Australia celebrated 150 years since the First Fleet, Aboriginal leaders William Cooper, Jack Patten and William Ferguson held a protest conference in Sydney declaring the day one of mourning — the start of the modern Aboriginal rights movement.
  2. UDHR (10 December 1948). The UN's Universal Declaration of Human Rights — drafted by a committee chaired by Eleanor Roosevelt — set out rights belonging to every person. Australia helped draft it; Australian external affairs minister H.V. "Doc" Evatt presided over the UN General Assembly that adopted it.
  3. Freedom Ride (February 1965). Inspired by the US civil rights movement's freedom rides, Sydney University students led by Charles Perkins bussed through NSW towns like Walgett and Moree, confronting bans on Aboriginal people at RSLs and swimming pools — and putting segregation on the nightly news.
  4. 1967 referendum (27 May). 90.77% voted Yes — the biggest Yes in Australian referendum history — to count Aboriginal people in the census and let the Commonwealth make laws for them. Know the trap: it did not grant citizenship or the vote (Commonwealth voting rights had come in 1962).
  5. Tent Embassy (26 January 1972). Four activists planted a beach umbrella on the lawns opposite Parliament House, calling it the Aboriginal Embassy: if Aboriginal people were treated as strangers in their own land, they would have an embassy. It became a lasting symbol of the land rights struggle.
  6. Mabo (3 June 1992). After a ten-year case led by Eddie Koiki Mabo of Mer (Murray Island), the High Court rejected terra nullius and recognised native title — that Indigenous peoples' ownership of land survived colonisation where connection continued. The Native Title Act followed in 1993.
  7. Bringing Them Home (1997). The national inquiry's report on the Stolen Generations — the Aboriginal and Torres Strait Islander children forcibly removed from their families under government policy, from the early 1900s into the 1970s.
  8. The Apology (13 February 2008). Prime Minister Kevin Rudd, on behalf of the Parliament, formally said sorry to the Stolen Generations — the report's key unfinished recommendation, delivered eleven years on.
The 1967 referendum — the most-tested fact in this unit

What it did: amended the Constitution so Aboriginal people were counted in the census and the Commonwealth could make laws for them. What it did NOT do: grant citizenship, the vote, or equal wages. Its real power was the 90.77% — an unmistakable national statement that change had to come.

Unit 3The globalising worldCold War · Decolonisation · Pop culture

The globalising world: two camps, then one planet

The allies of 1945 became the rivals of 1946: for four and a half decades the United States and the Soviet Union faced off in a Cold War — cold because the superpowers never fought each other directly, hot everywhere their proxies did. Meanwhile empires dissolved, and American music, movies and jeans conquered more territory than any army.

3.1The Cold War in one table

The WestThe East
SuperpowerUnited StatesSoviet Union (USSR)
SystemCapitalism, multi-party democracyCommunism, one-party state
AllianceNATO (from 1949)Warsaw Pact (from 1955)
How they foughtNever directly: an arms race (both nuclear-armed by 1949), a space race, spying, propaganda — and proxy wars where each backed a side, as in Korea (1950–53) and Vietnam
The dividing lineThe "Iron Curtain" across Europe — made concrete in the Berlin Wall, built 1961 to stop East Germans fleeing west
  • The closest brush with catastrophe: the Cuban Missile Crisis (1962), thirteen days of nuclear stand-off over Soviet missiles in Cuba, resolved by negotiation at the brink.
  • Australia fought in both big proxy wars — Korea and Vietnam — as a US ally under the ANZUS treaty (1951).

3.2Decolonisation and pop culture

  • Decolonisation: after WWII the European empires unwound — India and Pakistan independent in 1947, most of Africa around 1960, Papua New Guinea from Australia in 1975. Dozens of new nations joined the UN, many becoming Cold War battlegrounds for influence.
  • Popular culture went global — and mostly spoke American. Rock'n'roll arrived in 1950s Australia with Elvis and Bill Haley; television began here in 1956, just in time for the Melbourne Olympics; Beatlemania hit in 1964. Each wave sparked the same argument: is this exciting modern freedom, or the drowning of Australian identity?
  • Culture was also a Cold War weapon: jeans, jazz and Hollywood carried "the American way of life" behind the Iron Curtain more effectively than any broadcast.

3.31989: the wall comes down

1945 1949 1961 1962 1989 1991 WWII ends — US–Soviet rivalry begins NATO forms; the USSR tests its own atomic bomb the Berlin Wall is built to stop escapes westward Cuban Missile Crisis — thirteen days at the brink the Berlin Wall falls, 9 November the Soviet Union is dissolved Spacing not to scale — dates are in order along the line.
Figure 3.1 — the Cold War, 1945–1991By the late 1980s the Soviet economy was failing and its reforming leader, Mikhail Gorbachev, made clear the USSR would no longer prop up eastern Europe's regimes by force. On 9 November 1989 East Berliners surged through the checkpoints and the crowd began dismantling the wall itself — the Cold War's most famous symbol torn down by hand, on live global television. Within two years the Soviet Union itself was gone, and a divided world began knitting into today's globalised one.
Figure 3.2 — the year the map changedSix months, six countries: once Moscow said it would not send tanks, the bloc unravelled from Warsaw to Bucharest before the year was out.
Unit 4MigrationPopulate or perish → multicultural Australia

Migration: how Australia became multicultural

In 1945 Australia was overwhelmingly Anglo-Celtic by design — the White Australia policy had seen to that since 1901. Eighty years later, about half of all Australians were born overseas or have a parent who was. The change happened in deliberate steps, and this unit walks them.

4.1Populate or perish

Portrait of Arthur Calwell
Arthur Calwell1896–1973
  • WWII's near-invasion convinced Australia's leaders the country was too small to defend itself. Immigration Minister Arthur Calwell put it bluntly in 1945: "populate or perish".
  • The great post-war scheme followed: assisted passage for British migrants (the "ten pound Poms") — and, when Britain couldn't supply enough people, over 170,000 displaced persons from war-shattered Europe: Poles, Balts, Ukrainians, then Italians, Greeks and Yugoslavs through the 1950s–60s.
  • Migrant labour built the icons of the era — most famously the Snowy Mountains Scheme, where workers from over 30 nations dug the tunnels. Australia's population soared from about 7.4 million (1945) past 13 million by the early 1970s.

4.2Dismantling White Australia — step by step

1901 1945 1958 1966 1973 1976 Immigration Restriction Act: White Australia begins "populate or perish" — mass migration scheme begins the dictation test is abolished skilled migrants admitted regardless of race Whitlam government ends the White Australia policy first Vietnamese refugee boats reach Darwin Spacing not to scale — dates are in order along the line.
Figure 4.1 — from White Australia to multiculturalismThe policy died in stages, not in one stroke: the notorious dictation test (a 50-word test in any European language the official chose — designed to be failed) was abolished in 1958; the Holt government admitted skilled migrants of any race in 1966; the Whitlam government removed race from immigration policy entirely in 1973 and the Racial Discrimination Act followed in 1975. When Saigon fell in 1975, the real test came — and Australia, under Malcolm Fraser, resettled tens of thousands of Vietnamese refugees, the first large Asian migration since 1901.

4.3Multicultural Australia today

Figure 4.2 — where Australians came fromRead the arrows in order and you have the policy story: Britain first, then Europe when Britain could not supply enough people, then, after the White Australia policy ended, Asia.
  • Multiculturalism — adopted as official policy in the 1970s — reversed the old expectation that migrants must shed their cultures. Instead: keep your heritage, share full citizenship.
  • The results are visible everywhere: today nearly 30% of Australians were born overseas, and about half have at least one parent born overseas — among the highest proportions in the world.
  • Migration remade even the national menu, from post-war Italian espresso and Greek delis to Vietnamese pho — the everyday evidence of the policy story above.
  • The debates continue — over refugee policy, population size and national identity — which is exactly why the history matters: today's arguments echo 1901, 1945 and 1975.
Continuity and change — the essay skeleton

Change: from a legally white-only immigration policy (1901) to one of Earth's most multicultural nations — via 1945's mass migration, the staged repeal of 1958–1973, and the Vietnamese resettlement test case. Continuity: immigration has been deliberately used as nation-building policy the whole way through — only the definition of who belongs has changed.

Start hereYear 10 GeographyChange · Management · Wellbeing

Managing the planet, measuring the people.

Four units in two halves: how humans change environments — and how those changes can be managed, with Australia's coasts as the working example. Then the other half of geography: how well are people actually living, how do we know, and why does it differ so sharply from place to place?

The mapFour units

  1. Environmental change — land clearing, pollution, invasive species and climate change, and what "sustainability" actually demands.
  2. Managing coasts — waves, drift and sea-level rise versus sea walls, sand pumping and planning: the Gold Coast as a live case study.
  3. Human wellbeing — GDP, life expectancy, literacy and the HDI: what each number measures, and what it hides.
  4. The wellbeing gap — between countries and inside them, including Australia's own gaps — and the programs that actually close them.
What Year 10 Geography is actually assessed on

Explaining human-induced environmental change and evaluating management responses using environmental, economic and social criteria — and explaining the spatial variation in human wellbeing, between and within countries, using indicators as evidence.

Unit 1Environmental changeFour human fingerprints

Environmental change: the human fingerprint

Environments always changed — slowly. What is new is the speed, and the cause. Four human-driven changes dominate the modern story, and Australia has a front-row seat to every one of them.

1.1The big four

ChangeWhat is happeningThe Australian angle
Land clearingForest and bushland removed for farms and suburbs; habitats cut into fragmentsNearly 40% of Australia's forests cleared since 1788 (approx.); koala habitat a running battleground
PollutionAir, water and soil loaded with wastes; plastics drifting in every oceanFertiliser and sediment runoff is a major pressure on the Great Barrier Reef
Invasive speciesIntroduced organisms spreading unchecked, with no local predatorsCane toads (1935), rabbits, foxes and feral cats devastating native wildlife
Climate changeExtra greenhouse gases trapping extra heat worldwideMore extreme heat, worse fire weather, coral bleaching, shifting rainfall
  • The cane toad is the textbook backfire: introduced to Queensland in 1935 to eat cane beetles, it ignored them, spread across the north, and its poison now kills the native predators — quolls, goannas, snakes — that try to eat it.
  • Invasive species run riot here for one clean reason: they evolved elsewhere. Native wildlife has no defences against them, and nothing here eats them.
  • Atmospheric CO₂ has climbed from about 280 parts per million before industry to above 420 ppm today — the highest in at least 800,000 years of ice-core records.

1.2The greenhouse mechanism

Earth's surface the blanket of greenhouse gases (CO₂, methane…) sunlight passes straight in some heat escapes to space extra CO₂ turns escaping heat back down The greenhouse effect itself is natural and keeps Earth livable — the problem is that we are thickening the blanket.
Figure 1.1 — the enhanced greenhouse effectSunlight enters freely; the heat radiating back out is partly delayed by greenhouse gases. Add more CO₂ — from fossil fuels and land clearing — and more heat is turned back. Natural effect: good. Enhanced effect: the warming we measure today.
Sustainability — the definition to memorise

Development that meets the needs of the present without compromising the ability of future generations to meet their own needs (the UN's Brundtland report, 1987). Evaluations in this course always weigh three things at once: environmental, economic and social costs and benefits. And notice that people hold different worldviews — human-centred (nature as a resource for people) versus earth-centred (nature valuable in its own right) — which is why they disagree about what "good management" means.

Unit 2Environmental changeWaves versus engineers

Managing coasts: holding the line, or moving it

Eighty-five per cent of Australians live within 50 km of the sea (approx.) — on a shoreline that was never standing still. Coastal management is a running argument between waves, property owners and physics, and the Gold Coast is where Australia has fought it longest.

2.1How sand travels: longshore drift

LONGSHORE DRIFT — the sand's net journey along the coast the beach the sea SWASH — each wave pushes sand up the beach at an angle BACKWASH — the water drains straight back down, sand and all a wave front, arriving at an angle to the beach
Figure 2.1 — the sand conveyorWaves arriving at an angle push sand diagonally up the beach (swash); gravity drags it straight back (backwash). Each wave nudges the sand a little sideways — and over years, whole beaches migrate along the coast. Block that conveyor and somewhere down-drift starves. That single fact explains most coastal management disasters.
  • The threats stack up: storm erosion, buildings placed on the dunes that were the coast's shock absorber, and sea-level rise — about 20 cm since 1900, and accelerating — which lets every storm bite further inland.

2.2The management menu

ApproachExamplesForAgainst
Hard engineeringSea walls, groynes, rock revetmentsProtects property now; lasts decadesExpensive; walls reflect wave energy and can strip the beach in front; groynes starve beaches down-drift
Soft engineeringBeach nourishment (pumping sand in), replanting dunesKeeps a natural, usable beach; works with the driftMust be repeated forever; sand is costly
PlanningSetback lines, no-build zones on dunes, planned retreatCheapest in the long run; avoids the fight entirelyPolitically painful — someone's land loses value
Case study: the Gold Coast, Queensland

The problem. The Gold Coast's beaches are its economy — and they sit on a sand conveyor moving north. Training walls built to keep the Tweed River mouth navigable interrupted that drift, starving the southern Gold Coast beaches; cyclones in 1967 stripped them almost bare. The response, layered over decades: a boulder wall line behind the beaches (hard), repeated beach nourishment (soft) — and since 2001 the Tweed Sand Bypassing project, which pumps sand past the river mouth to the southern beaches, restarting the natural conveyor: roughly half a million cubic metres a year (approx.). Evaluation: the beaches are back and tourism thrives (economic ✓, social ✓), but it costs money forever and remains an engineered coastline (environmental: mixed) — a defensible trade-off, which is exactly how you should phrase it.

Unit 3Human wellbeingMeasuring how life is going

Human wellbeing: putting numbers on a good life

Is life better in one place than another? To answer without just guessing, geographers use indicators — and the skill this unit teaches is knowing exactly what each number measures, and what it quietly leaves out.

3.1The indicator toolkit

IndicatorWhat it measuresWatch out
GDP per capitaA country's income divided by its populationAn average — says nothing about how income is shared, unpaid work, or the environment
Life expectancyHow long a newborn can expect to live, on averageThe single best one-number summary of health
Adult literacyShare of adults who can read and writeA floor, not a ceiling — says little about quality of education
Infant mortalityBabies dying before age one, per 1,000 birthsBrutally honest about healthcare, water and nutrition
Access to safe waterShare of people with clean drinking waterUnderneath half the other indicators
  • Quantitative indicators are counted (years, dollars, percentages); qualitative ones must be asked (how safe people feel, how connected to culture). Good studies use both.

3.2The HDI — three numbers in a trench coat

HEALTH life expectancy at birth EDUCATION years of schooling INCOME national income per person combined into HDI — one score, 0 to 1 Australia ≈ 0.95 · lowest countries < 0.40 One number cannot say everything — but it beats judging a whole country by income alone.
Figure 3.1 — the Human Development IndexThe UN's answer to "GDP isn't enough": blend health, education and income into one score. Australia sits near the top of the world table (≈0.95); the lowest-ranked countries sit below 0.40 (UN figures, rounded).
The trap in every average

A national average is one number stretched over millions of different lives. A country can post a healthy GDP per capita while wealth pools in one city and one class — and a rich country can contain regions whose indicators look like a much poorer one's. Whenever you quote an average, the next sentence should ask: averaged over whom? That question is the whole of Unit 4.

Unit 4Human wellbeingBetween countries, and within them

The wellbeing gap

Where you are born still largely decides how long you live, how many years you spend in school, and how much you earn. The gaps run between countries — and, less comfortably, straight through the middle of rich ones, Australia included.

4.1Between countries

Indicator (UN figures, rounded)AustraliaChad
Life expectancy≈ 83 years≈ 54 years
Average years of schooling≈ 13≈ 3
Income per person (PPP)≈ $50,000≈ $1,500
HDI≈ 0.95 — top 10 in the world≈ 0.39 — among the lowest
  • Life expectancy worldwide runs from the low 50s in the hardest-hit countries to the mid 80s in the healthiest — a gap of three decades of life.
  • The pattern is spatial: the lowest-wellbeing countries cluster in sub-Saharan Africa, weighed down by combinations of poverty, conflict, disease and weak institutions — not by any shortage of human talent.

4.2Within countries — Australia's own gaps

  • Wellbeing falls with distance from the cities: remote Australians live further from hospitals, specialists, schools and jobs, and every health statistic feels it.
  • The sharpest national gap: on average, Aboriginal and Torres Strait Islander peoples live about eight years less than non-Indigenous Australians (approx.), with parallel gaps in child health, education and employment — widest in remote communities.
  • The Closing the Gap national agreement sets targets across health, education, housing and employment. Its central lesson so far: programs designed and run with communities — like Aboriginal community-controlled health services — consistently outperform programs imposed from outside.

4.3What actually closes gaps

  1. Health first. Vaccination is the all-time champion: smallpox was eradicated worldwide in 1980, and polio has been driven to the edge of extinction. Clean water and maternal care follow close behind.
  2. Education — especially for girls. Each extra year of schooling lifts incomes, health and children's survival; educating girls is one of the strongest levers development economists have found.
  3. Money that reaches people. Microloans — tiny loans to people banks ignore — let poor families start small businesses; targeted aid builds the clinics, roads and schools that markets won't.
  4. A shared scoreboard. The UN's Sustainable Development Goals — 17 goals, adopted 2015, aimed at 2030 — put ending poverty and hunger, health, education and equality on every government's agenda at once.
Writing the full-marks wellbeing answer

Quote an indicator (with its number labelled approximate), name the scale (between countries / within a country), give a reason for the gap, and finish with a response — ideally one with evidence it works. "Chad's life expectancy is around 54 to Australia's 83; within Australia the Indigenous gap is about eight years; remoteness and access to services drive much of it; community-controlled health services are narrowing it." Four sentences, full marks.

Start hereYear 8 TechnologiesDesign Technology · Elective

Nothing on your desk happened by accident.

Every object around you — your chair, your drink bottle, your phone case — was designed: someone found a problem, imagined answers, built one, and judged it. Four units teach you to do the same, properly.

The mapFour units

  1. The design process — investigate, generate, produce, evaluate — and why the loop never really ends.
  2. Design thinking tools — briefs, constraints, criteria, annotated sketches and quick prototypes.
  3. Materials & making — strength, hardness, flexibility, durability: picking the right stuff, and working it safely.
  4. Evaluating & improving — testing against criteria, listening to users, and designing for a product's whole life.
What Year 8 Design Technology is actually assessed on

Not whether your product is pretty — whether you can follow and explain the design process: define a problem and its constraints, generate several ideas before choosing, make a working version, and evaluate it honestly against criteria you wrote before you started.

Unit 1Design TechnologyInvestigate · Generate · Produce · Evaluate

The design process: a loop, not a line

Designers don't get it right first go — nobody does. What they have instead is a process that turns "I don't know" into "version 3 works": four stages, repeated until the design earns its keep.

1.1The four stages

1. INVESTIGATE define the problem and who has it 2. GENERATE sketch many ideas before choosing one 3. PRODUCE build the chosen design, safely 4. EVALUATE test it against the criteria for success ITERATE — what evaluation reveals sends you around again each loop is one iteration: version 2 fixes what version 1 taught you Solid arrows = the order of the stages. Dashed arrow = the loop back that makes it a cycle.
Figure 1.1 — the design cycleFour stages in order, then back to the start. Professionals never treat stage 4 as the finish line: evaluating version 1 is how you find out what version 2 must fix. Each trip around the loop is called an iteration.

1.2What each stage really means

  • Investigate and define. Before designing anything, understand the problem: who has it, when it happens, what already exists, and what a good solution must do. Skipping this stage is the number-one cause of useless products — a brilliant answer to the wrong question.
  • Generate ideas. This is divergent thinking: producing many different possibilities — wild ones included — before judging any of them. Quantity first, quality later. Only after the ideas exist do you switch to convergent thinking: narrowing down to the strongest one using your criteria.
  • Produce. Turn the chosen idea into a real thing — measuring, cutting, joining, assembling — following your plan and working safely. Good producers keep notes on what they changed and why, because the plan never survives contact with real materials unchanged.
  • Evaluate. Test the finished product against the criteria for success you wrote at the start — not against your feelings. "Do I like it?" is opinion; "does it hold 2 kg without bending, as criterion 3 required?" is evaluation.
The exam trap: "one good idea"

A classic question asks why designers sketch many ideas instead of building the first one. The answer: the first idea is rarely the best; generating lots of options (divergent thinking) lets you compare them against the criteria and combine the best parts. Committing early to idea number one means never finding out ideas two to ten were better — and it's far cheaper to discard a sketch than a built product.

Unit 2Design TechnologyBriefs · Criteria · Sketches · Prototypes

Design thinking tools: the paperwork that saves the project

Between "we have a problem" and "let's build it" sit a handful of simple tools. They look like paperwork. They are actually how designers avoid building the wrong thing beautifully.

2.1The brief, the constraints, the criteria

  • A design brief is a short statement of the job: what is needed, who it is for, and the limits it must work within. Example: "Design a carry case that protects a school laptop from a 1 m drop, for a Year 8 student, costing under $15 in materials."
  • Constraints are the limits the design cannot break: budget, time, size, available materials, safety rules. Constraints feel annoying but actually help — they shrink infinite possibilities down to a solvable problem.
  • Criteria for success are measurable statements, written before you design, used after to judge the result. "It should be good" is useless; "it survives a 1 m drop onto concrete with the laptop undamaged" can be tested with a yes or no.
Constraint or criterion? The tell

A constraint is a wall you must stay inside while designing (under $15, finished by week 8, no power tools). A criterion is a target the finished product is measured against (survives the drop, weighs under 400 g, opens one-handed). Walls during; targets after.

2.2Sketching, prototyping, and the user

  • An annotated sketch is a quick drawing with written notes — arrows pointing out materials, sizes, how parts move or join. The annotations do the heavy lifting: a sketch shows what it looks like, the notes explain how it works.
  • A low-fidelity prototype is a fast, rough, cheap model — cardboard, paper, tape, blu-tack. "Low-fidelity" means low detail, and that is the point: you can build it in twenty minutes, test the idea, and throw it away without pain. Finding a flaw in cardboard costs cents; finding it in the finished product costs the project.
  • Designers study user needs with empathy — watching and asking the actual user rather than assuming. A pencil case designed for "everyone" fits no one; one designed after watching a left-handed user struggle with a right-zipping case fixes a real problem.
Why prototype at all? The two-part answer

Markers want both halves: a prototype lets you test an idea early (does the mechanism work? does it fit the hand?) while changes are still cheap and fast. One sentence each, full marks.

Unit 3Design TechnologyProperties · Choosing · Safe work

Materials & making: the right stuff for the job

A chocolate teapot fails not because chocolate is bad, but because it's the wrong material for the job. Choosing well means matching a material's properties to what the product must survive.

3.1The properties that matter

PropertyWhat it meansTest it by…Wanted in…
StrengthWithstands a force or load without breakingpulling, pressing or loading ita tow rope, a shelf, a bike frame
HardnessResists being scratched or dentedtrying to scratch its surfacea bench top, a drill bit, floor tiles
FlexibilityBends without breaking, then springs backbending it and letting goa hose, a ruler, a phone case
DurabilityStands up to wear, weather and timeusing and weathering it for a long timeoutdoor decking, playground gear
AbsorbencySoaks up liquiddripping water on ita towel — and NOT an umbrella
  • Strength and hardness are not the same thing. Glass is hard (very difficult to scratch) but not strong against a knock; a nylon rope is strong under load but soft enough to scratch with a fingernail.
  • Choosing a material is a trade-off: list what the product must survive, rank which properties matter most, then compare candidates — including cost and availability, which are constraints, not properties.
  • No material is "best". Steel beats pine for strength; pine beats steel for weight, cost, and ease of cutting in a school workshop. The job decides.

3.2Tools and safe work

  • Basic workshop kit: measuring and marking tools (rule, square, pencil) come first — the rule is measure twice, cut once, because wood cut short stays short.
  • Cutting (saws, scissors, craft knives), shaping (files, sandpaper), joining (glue, screws, nails, tape). Match the tool to the material — a wood saw fights sheet metal and loses.
  • Safe work is not optional: PPE (personal protective equipment — safety glasses, apron, closed shoes), hair tied back, one person in a tool's working zone, tools checked before use and carried points-down, and a tidy bench — most workshop accidents are trips and slips, not blades.
  • Report every fault and every injury, however small, to the teacher. A frayed cord or wobbly blade is the next person's accident.
Unit 4Design TechnologyTesting · Feedback · Life cycle

Evaluating & improving: the honest stage

Anyone can build something. Designers find out whether it actually works — measured against the criteria, judged by real users, and considered across the product's whole life, from mine to landfill.

4.1Testing and feedback

  • Evaluation means going back to the criteria for success and testing each one, honestly. Criterion met, partly met, or not met — with evidence. "The case survived two of three 1 m drops; the corner seam split on drop three" is an evaluation. "It went pretty well" is not.
  • User feedback is the second test: hand the product to the person it was designed for and watch. Users find problems designers are blind to, because the designer knows how it's meant to be used. Ask open questions ("what was awkward?"), not leading ones ("it's good, right?").
  • Every failure found is an improvement written for free: "the seam split" becomes "version 2: reinforce corner seams". That is the loop from Unit 1 closing — evaluation feeding the next iteration.

4.2The life of a product

  • A product's life cycle runs: raw materials extracted → materials processed → product manufactureddistributed to shops → useddisposed of, recycled or reused. Every stage costs energy and resources and creates waste — not just the making.
  • Sustainable design means choosing with the whole cycle in mind: renewable or recycled materials in, less material overall, products that can be repaired instead of replaced, and parts that can be separated for recycling at the end (a bottle that is all one plastic recycles; a toy of glued mixed plastics does not).
  • The cheapest waste is the waste never made: designing a product to last twice as long halves everything upstream of it — mining, manufacturing, transport, packaging.
"Evaluate this product" — the full-marks recipe

Judge it against named criteria (with evidence), report user feedback, and suggest a specific improvement tied to a failure you found. Criteria → evidence → improvement: three sentences, three marks, every time.

Start hereYear 8 ElectiveDigital Solutions

Teach a machine that can't guess.

Four units: how everything on a screen is secretly numbers, how those numbers cross the world in packets, how to write instructions so precise a machine can follow them, and your first real programs — built from the Year 7–8 Digital Technologies descriptions.

The mapFour units

  1. Everything is numbers — binary, bits and bytes, and how text and images become 0s and 1s.
  2. Networks — what the internet actually is, addresses, packets, and why passwords matter.
  3. Algorithms — precise steps, the three building blocks, flowcharts done properly, and tracing by hand.
  4. First programs — variables, input → process → output, IF/ELSE, loops, and hunting bugs.
What Year 8 Digital Solutions is actually assessed on

Data of every kind is represented as binary numbers; networks move that data as addressed packets; and problems are solved by designing algorithms — sequence, selection and iteration — then implementing and testing them as programs.

Unit 1Data representationBits · Bytes · Binary

Everything is numbers

Every photo, song, message and game on your phone is stored the same way: as numbers, written with only two digits. Learn to read binary and the whole machine stops being magic.

1.1Why 0 and 1?

  • A computer is billions of microscopic switches. A switch is reliable at exactly two things: off and on — written 0 and 1. Ten different voltage levels would blur; two never do.
  • One 0-or-1 is a bit — the smallest possible piece of information. Eight bits make a byte, the standard parcel size for data.
  • Counting with two digits is called binary. Our everyday ten-digit counting is decimal. Same numbers, different costume.

1.2Reading binary: place values

In decimal, the columns are worth 1, 10, 100, 1000… — each ten times the last. In binary, each column is worth double the last: 1, 2, 4, 8, 16, 32, 64, 128. To read a binary number, add up the columns that hold a 1.

Column value1286432168421Total
Binary 110111018 + 4 + 1 = 13
Binary 110011100116 + 8 + 1 = 25
Binary 1111111111111111all eight = 255
Going the other way: decimal → binary

Work greedily from the biggest column down. For 13: does 8 fit? Yes — write 1, carry on with 5. Does 4 fit? Yes — 1, left with 1. Does 2 fit? No — 0. Does 1 fit? Yes — 1. Answer: 1101. Always check by adding back: 8 + 4 + 1 = 13.

1.3Text and images are numbers too

  • Text: every character has an agreed code number — the ASCII table. Capital A is 65, B is 66, a space is 32. "CAT" is stored as 67, 65, 84 — each one a byte of binary.
  • Images: a picture is a grid of tiny squares called pixels. Each pixel stores three numbers, 0–255 each: how much red, green and blue light to mix — the RGB system.
  • (255, 0, 0) is pure red. (255, 255, 255) is white — all three lights on full. (0, 0, 0) is black — all off.
  • Why 0–255? That is exactly the range one byte can hold: eight bits give 256 different patterns.
Unit 2Digital systemsInternet · Packets · Privacy

Networks: how your photo crosses the world

The internet is not a cloud. It is cables, radio waves and millions of machines passing numbered parcels of data — and once you can picture the journey, security stops being a lecture and starts making sense.

2.1What the internet is

  • A network is any group of connected devices that can share data. Your home Wi-Fi is one; your school's computers are another.
  • The internet is the worldwide network of networks — all of them agreeing to speak the same rules so any device can reach any other.
  • Wired connections (cables) are usually faster and steadier; wireless (Wi-Fi, mobile data) trades some speed and reliability for the freedom to move. Radio waves also weaken with distance and walls.
  • Every connected device gets an IP address — a number like 203.0.113.7 that works exactly like a postal address: it is how data finds the right machine among billions.

2.2The journey of a photo

YOUR PHONE splits the photo up HOME ROUTER your door to the net INTERNET ROUTERS read address, pass on SERVER rebuilds the photo hop 1 hop 2 hop 3 The photo travels as three packets, each stamped with the destination: To: 203.0.113.7 To: 203.0.113.7 To: 203.0.113.7 photo piece 1 of 3 photo piece 2 of 3 photo piece 3 of 3 Packets may take different routes and arrive out of order — the piece numbers let the server rebuild the photo perfectly.
Figure 2.1 — a photo's journey as packetsBig messages are never sent whole. They are chopped into packets, each carrying the destination IP address and its piece number. Routers read only the address and pass the packet one hop closer. At the far end the pieces are reassembled in numbered order — so even if packet 3 arrives first, the photo comes out perfect.

2.3Why passwords and privacy matter

  • Your accounts are doors, and a password is the key. A short or reused key is easy to copy: if one site leaks it, attackers try the same key on every other door you own.
  • Strong passwords are long and unique per account. Length beats weird symbols: a passphrase of several random words is both stronger and easier to remember than "P@ss1".
  • Whatever you post travels through machines you don't control and can be copied forever. Before sharing, ask: would I be fine with everyone — including future me — seeing this?
  • Personal details (full name, school, address, photos with locations) are exactly what a stranger needs to pretend to know you. Give them out the way you'd give out your house key.
Unit 3Creating solutionsSequence · Selection · Iteration

Algorithms: instructions with no wiggle room

Tell a friend "make me toast" and they fill in a hundred missing details. A computer fills in nothing. An algorithm is instructions written so precisely that even a machine that can't guess gets it right — every time.

3.1The three building blocks

Every algorithm ever written — from a recipe to a rocket launch — is built from just three patterns:

  1. Sequence — steps that run one after another, in order. Crack the eggs, then whisk, then pour.
  2. Selection — a choice made with a question. IF it is raining THEN take an umbrella ELSE wear a hat.
  3. Iteration — repetition. Keep stirring UNTIL the sauce thickens; repeat the chorus 3 times; WHILE lives remain, keep playing.

3.2Flowcharts, done properly

Start Ask for the password Password correct? Unlock the phone Display “Welcome” End No Yes Oval — Start or End Parallelogram — input or output Diamond — a decision Rectangle — a process every flowchart has both data going in, or results coming out one question in, two labelled exits out one action step The No arrow loops back to the input — that is iteration, drawn as a shape. The Yes/No labels are compulsory.
Figure 3.1 — the flowchart shapes, all in one algorithmOval for Start and End, parallelogram for input/output, diamond for a decision — always one question with two exits labelled Yes and No — and rectangle for a process. The No arrow looping back to "Ask for the password" is iteration: the question keeps being asked until the answer is Yes.

3.3Desk-checking: run it in your head first

A desk check (or trace) means being the computer: follow the algorithm line by line and write down every variable's value as it changes. It finds mistakes before a single line is typed. Trace this:

LinePseudocodetotal after the line
1total ← 00
2total ← total + 44
3total ← total + 48
4PRINT totalprints 8
The arrow, once and for all

total ← total + 4 is not maths — it is an instruction: "work out the right side, then store the result in the box on the left." Read ← as "becomes". That is why a line like x ← x + 1 makes perfect sense to a computer and none to an algebra teacher.

Unit 4Creating solutionsVariables · IF/ELSE · Loops

First programs: from algorithm to code

A program is just an algorithm written in a language a computer accepts. We'll use pseudocode — structured English that every programming language translates from almost word for word.

4.1Variables, and the three-stage machine

  • A variable is a named box in the computer's memory. score ← 10 puts 10 in a box called score; later lines can read it or replace it.
  • Almost every program is the same machine: INPUT (get data in) → PROCESS (calculate, decide, repeat) → OUTPUT (show the result).
ProgramInputProcessOutput
CalculatorThe numbers you typeThe arithmeticThe answer on screen
GameTaps and key pressesPhysics, collisions, scoringGraphics and sound
Step counterMotion-sensor readingsCounting the joltsToday's step total

4.2Branching and looping in pseudocode

Selection and iteration, written the way we'll write them all course:

LinePseudocodeWhat happens
1INPUT tempUser types 18 — temp is now 18
2IF temp > 25 THENIs 18 > 25? No — skip to ELSE
3  PRINT "hot"skipped
4ELSE
5  PRINT "cool"prints cool
6END IFthe branch is over
LinePseudocodeTrace
1count ← 3count = 3
2WHILE count > 03 > 0? yes — go round
3  PRINT countprints 3, then 2, then 1
4  count ← count − 1count = 2, then 1, then 0
5END WHILE0 > 0? no — loop ends

4.3Finding bugs

  • A bug is a mistake that makes the program behave wrongly. Programs never disobey — they obey a wrong instruction perfectly.
  • To hunt one: trace the code with a desk check and find the first line where the value in your table differs from what you expected. The bug lives at or just before that line.
  • Classic Year 8 bugs: forgetting the line that changes the loop variable (the loop never ends), testing with > when you meant <, and printing a variable before anything was put in it.
  • Test with easy numbers first, then nasty ones: zero, negatives, huge values. A program that survives 0 has earned some trust.
Start hereYear 8 TechnologiesFood Technology · Elective

Cooking is chemistry you can eat.

Four units take you from "don't poison anyone" to "plate it like you meant it": kitchen safety, what food actually does in your body, what heat does to food, and how a recipe becomes a meal.

The mapFour units

  1. Safe kitchens — the danger zone, cross-contamination, hygiene, and cleaning versus sanitising.
  2. Nutrition on the plate — the five food groups, the macronutrients, and how to read a food label.
  3. Cooking with method — moist heat, dry heat, how heat travels, and knife skills that keep fingers attached.
  4. Recipe to table — mise en place, scaling a recipe, Australian measurements, and judging food with your senses.
What Year 8 Food Technology is actually assessed on

Safe food handling comes first and is marked hardest — know the danger zone (5–60 °C) and cross-contamination cold. Then: the five food groups and what the macronutrients do, which cooking method suits which food and why, and working from a recipe accurately.

Unit 1Food TechnologyThe danger zone · Hygiene

Safe kitchens: the rules that stop food poisoning

Bacteria are invisible, tasteless, and everywhere — and in the right conditions their numbers can double roughly every twenty minutes. Kitchen safety is simply refusing to give them those conditions.

1.1The temperature danger zone

100 °C 60 °C 5 °C 0 °C HOT — 60 °C and above cooking kills bacteria; keep hot food hot DANGER ZONE — 5 to 60 °C bacteria multiply fastest — numbers can double every ~20 minutes keep food OUT of this zone, or move it through quickly COLD — 5 °C and below the fridge: bacteria grow very slowly Room temperature (~20–25 °C) sits right in the danger zone — which is why food can't be left out.
Figure 1.1 — the temperature danger zoneBetween 5 °C and 60 °C, food-poisoning bacteria multiply fastest. Cold storage (5 °C or below) slows them almost to a stop; proper cooking and hot-holding (60 °C or above) kills or stops them. The whole game of food safety is keeping food out of the middle.
  • Australia's rule of thumb for food left in the danger zone: under 2 hours — refrigerate or use it; 2 to 4 hours — use it immediately; over 4 hours — throw it away. The clock adds up across the day.
  • Cooling leftovers: get them into the fridge promptly in shallow containers — a deep pot of warm soup can sit in the danger zone for hours in the middle.

1.2Cross-contamination and hygiene

  • Cross-contamination is germs hitching a ride from one food to another — classically, raw chicken juice reaching salad via a shared board, knife or unwashed hands. The salad is never cooked, so the bacteria are never killed.
  • Defence: separate boards and knives for raw meat and ready-to-eat food (or wash thoroughly between), raw meat stored below ready-to-eat food in the fridge so it cannot drip, and hands washed with soap for 20 seconds after touching raw meat.
  • Personal hygiene: wash hands before cooking, tie hair back, wear a clean apron, cover cuts with a waterproof dressing, and do not cook for others while sick — your germs travel on everything you touch.
  • Cleaning and sanitising are two different jobs, in a fixed order. Cleaning removes food scraps and grease with hot water and detergent. Sanitising then kills the germs that remain, with very hot water or a sanitiser. Clean first, then sanitise — sanitiser can't reach germs hiding under grease.
The question they always ask

"Why is it dangerous to cut salad on the board just used for raw chicken?" Full marks needs the chain: raw chicken carries bacteria → they transfer to the board → then to the salad → the salad is eaten raw, so no cooking step ever kills them. That last link is the mark most people drop.

Unit 2Food TechnologyFood groups · Macronutrients · Labels

Nutrition on the plate: what food does once you eat it

Food isn't just fuel — it's building material, repair kit and spare parts. Australia sorts it into five groups, and the label on every packet tells you exactly what's inside, if you know where to look.

2.1The five food groups

The Australian Guide to Healthy Eating (AGHE) shows a plate divided into five groups — the bigger the slice, the more of your daily food should come from it. Vegetables and grains get the biggest slices; dairy and the meat group are smaller; and things like chips, lollies and soft drinks aren't on the plate at all — they're "sometimes foods", drawn outside it.

GroupExamplesStar nutrients
Vegetables & legumesbroccoli, carrot, pumpkin, beansvitamins, minerals, fibre
Fruitapple, banana, berriesvitamins, fibre, natural sugars
Grain (cereal) foodsbread, rice, pasta, oats — mostly wholegraincarbohydrates, fibre, B vitamins
Lean meat, fish, eggs, tofu, nuts & legumeschicken, fish, eggs, lentilsprotein, iron
Milk, yoghurt, cheese & alternativesmilk, yoghurt, cheesecalcium, protein

2.2The macronutrients

  • Carbohydrates are the body's main fuel — broken down to glucose to power everything from running to thinking. Wholegrain versions release energy slowly and steadily; sugary ones spike and crash.
  • Protein is for growth and repair — building muscle, skin, blood and enzymes. You are literally built from it, which is why growing teenagers need plenty.
  • Fats are the most concentrated energy store, and the body also needs them for insulation, protecting organs and absorbing certain vitamins. Some fat is essential — the aim is the right kinds (think oily fish, nuts, olive oil) in the right amounts.
  • Two supporting acts: fibre (a plant carbohydrate we can't digest — it keeps the digestive system moving) and water (needed for every process in the body).

2.3Reading a food label

  • The nutrition panel shows two columns: per serve and per 100 g. To compare two products fairly, always use per 100 g — serve sizes are chosen by the manufacturer and differ between brands.
  • Ingredients are listed by weight, largest first. If sugar is ingredient number one, the product is mostly sugar — no matter what the front of the pack says.
  • The front of the pack is advertising; the back is law. "Lite", "natural" and a cartoon farm prove nothing — the numbers on the panel do.
Unit 3Food TechnologyMoist & dry heat · Heat transfer · Knives

Cooking with method: what heat actually does

Boiled potato and roast potato start as the same vegetable — the method makes the meal. Every cooking method is just a different way of delivering heat, and each one changes food differently.

3.1Moist heat vs dry heat

FamilyMethodsHow it cooksWhat it does to food
Moist heat
(water or steam)
boiling, simmering, steaming, poachinghot water or steam surrounds the food — never hotter than about 100 °Csoftens and tenderises; no browning or crisping; gentle — but boiling can leach vitamins into the water
Dry heat
(air, fat or flame)
baking, roasting, grilling, fryinghot air, hot fat or direct radiant heat — well above 100 °Cbrowns and crisps the outside, building flavour; frying also adds fat to the food
  • The surprise of the table: frying is a dry-heat method. "Moist" means cooking in water or steam — oil is a fat, not water, and it gets far hotter than water can, which is exactly why fried food browns and boiled food never does.
  • Steaming keeps the most nutrients of the moist methods: the food never touches the water, so water-soluble vitamins can't leach away into it.
  • Method matching is about the food's needs: tough cuts want long, gentle moist heat to tenderise; tender foods want fast dry heat for flavour and crust.

3.2How the heat gets in

  • Conduction: heat passes by direct contact — a steak sizzling where it touches the hot pan.
  • Convection: currents of hot water or hot air carry heat around the food — a pot of boiling water, or a fan-forced oven.
  • Radiation: heat travels as invisible rays from a glowing source — a grill's element browning the top of a lasagne, or a toaster.
  • Real cooking usually combines them: a roast gets convection from the oven air and conduction from the hot tray beneath it.

3.3Knife skills

  • The two safe grips: the claw — the holding hand's fingertips curled under, knuckles forward, so the blade can only meet knuckle, never fingertip — and the bridge — thumb and fingers make a bridge over the food and the knife cuts underneath it.
  • A sharp knife is safer than a blunt one: blunt blades need force, and forced blades slip. Cut on a stable board (damp cloth underneath to stop sliding), blade away from you, and never walk around with a knife point-up.
  • The standard cuts, by shape: slice (flat pieces), dice (even cubes), julienne (thin matchsticks). Even sizes are not just pretty — even pieces cook evenly.
Unit 4Food TechnologyMise en place · Scaling · Senses

Recipe to table: cooking like you've done it before

Watch a chaotic cook and a calm one make the same dish: the calm one did all the thinking before the heat went on. That habit has a French name, and it's the single biggest upgrade to anyone's cooking.

4.1Mise en place

  • Mise en place (say "meez on plass") is French for "everything in its place": before any heat, read the whole recipe, get out every ingredient and piece of equipment, and do the washing, chopping, weighing and measuring.
  • Why it works: once cooking starts, the recipe sets the pace — onions won't wait while you hunt for the paprika. With everything prepped, you just assemble.
  • Read the whole recipe first, every time. It's the only way to discover "marinate for 2 hours" or "you'll need a blender" before those facts become emergencies.

4.2Measuring and scaling

  • Australian standard measures: 1 cup = 250 mL, 1 tablespoon = 20 mL, 1 teaspoon = 5 mL. Watch the tablespoon: Australia's is 20 mL, but most other countries (and many internet recipes) use 15 mL.
  • Measure accurately: dry ingredients levelled off with a knife, liquids read at eye level. In baking especially, the recipe is a chemistry formula — guessing changes the result.
  • Scaling a recipe means multiplying every ingredient by the same factor. Serves 4 → serves 8: factor 2, double everything. Serves 4 → serves 2: factor ½, halve everything. The ratios between ingredients must not change — that's what keeps the recipe being the same recipe.
  • One thing that doesn't simply scale: cooking time. Double the mixture is not double the minutes — test for doneness instead.

4.3Judging the result: sensory evaluation

  • Food is judged with the senses, in four categories: appearance (colour, shape, how it's plated), aroma (smell), texture (how it feels to bite — crisp, tender, gluey), and flavour (taste, and the balance of sweet, salty, sour, bitter).
  • Useful sensory words are specific: "the pastry was crisp outside and buttery inside" tells the cook something; "it was nice" tells them nothing.
  • Sensory evaluation is the food version of Unit 4 in any design subject: honest testing against what you were aiming for, so the next attempt is better.
Start hereYear 9 ElectiveDesign & Technologies

Design is decisions, not decoration.

Four units: designing for real users instead of imaginary ones, generating ideas worth choosing between, prototyping so failure is cheap, and designing responsibly for the planet and for everybody — the Year 9 design-thinking toolkit.

The mapFour units

  1. Design for real users — empathy, user research, defining the problem, and briefs with constraints and criteria.
  2. Generating better ideas — diverge then converge, SCAMPER, sketches that communicate, and choosing with a criteria matrix.
  3. Prototyping & iteration — fidelity levels, failing fast, testing with users, and improving from feedback.
  4. Design in the world — sustainable design, life cycle thinking, inclusive design, and who owns an idea.
What Year 9 Design Technology is actually assessed on

Not whether your product is pretty — whether you can show a process: a real user need, a brief with constraints and measurable criteria, a range of ideas, prototypes tested with users, and a final design you can justify against the criteria.

Unit 1User-centred designEmpathy · Research · The brief

Design for real users

Bad designs are usually designed for an imaginary "everyone". Good designs start with a specific person, a real frustration, and a designer who bothered to look.

1.1Start with people, not products

  • User-centred design means the user's needs drive every decision — and the design is tested on real users, not just admired by its designer.
  • Empathy is the working skill behind it: understanding the user's experience — what frustrates them, what they are trying to do, what gets in the way — from their point of view, not yours.
  • The classic trap: designing for yourself. You are one user, and probably not a typical one.

1.2User research: look before you design

  • Interviews — ask users open questions about what they do and what annoys them. "Tell me about the last time…" beats "would you like…".
  • Observation — watch people actually doing the task. This is the gold standard, because what people do and what they say are different: someone who says their school bag is "fine" can be watched digging through it for two minutes to find a pen.
  • Surveys — quick answers from many people; good for counting how common a problem is, weak at explaining it.
  • Research ends with a problem statement that names the user, the need, and the insight: "Year 7 students (user) need a way to find equipment fast between classes (need), because digging through a full bag makes them late (insight)."

1.3The design brief

A design brief is the contract for the project: what is being designed, for whom, within what limits, and how success will be judged. Two of its parts are confused constantly, so pin them down:

Part of the briefWhat it isExample
The problem & userWho it is for and what need it meetsYear 7s who can't find equipment fast
ConstraintsLimits set for you before designing starts — you must work inside themBudget $15 · finished by week 8 · school materials only · safety rules
Criteria for successThe tests you will run on the finished design to judge whether it works"8 of 10 testers find a pen in under 15 seconds"
Make every criterion measurable

"It should be easy to use" cannot be tested — easy for whom, measured how? A criterion earns its place when it names a test and a number: "a first-time user finds the switch within 10 seconds". If you can't imagine the test, rewrite the criterion.

Unit 2IdeationDiverge · SCAMPER · Choose

Generating better ideas

Your first idea is almost never your best one. Professionals generate many ideas cheaply, then choose between them fairly — open up first, narrow down second, never both at once.

2.1Diverge, then converge

the widest point — the most ideas on the table DIVERGE open up — quantity, wild ideas welcome CONVERGE narrow down — judge against the criteria the design brief — one defined problem one chosen concept
Figure 2.1 — the idea diamondDivergent thinking opens the field: many ideas, no judging yet, quantity over quality. Convergent thinking closes it: compare, score, choose. Mixing the two — shooting ideas down while you're still generating them — kills the good weird ones before they can grow.

2.2SCAMPER: seven ways to push an idea

SCAMPER takes an existing product and forces it somewhere new — one prompt per letter:

  1. S—Substitute. Swap a part or material. Metal frame → bamboo?
  2. C—Combine. Merge two things into one. Pencil case + phone stand?
  3. A—Adapt. Borrow an idea that already works elsewhere. What would a tackle box do here?
  4. M—Modify. Make a feature bigger, smaller, or exaggerated. Giant zip? Tiny footprint?
  5. P—Put to another use. Find it a new job. A bag that becomes a desk organiser?
  6. E—Eliminate. Remove a part. What isn't actually needed?
  7. R—Reverse. Flip the order, layout or roles. Opens from the bottom? User assembles it?

2.3Sketches and mood boards that communicate

  • Design sketches are fast and plural — six rough ideas beat one polished drawing at this stage.
  • Annotation does the heavy lifting: notes on the sketch that explain how it works and why you chose it ("lid clips here so it opens one-handed"), not just what it is ("lid").
  • A mood board collects images, colours, materials and textures that capture the feel the design is aiming for — it sets a direction before any product is drawn.

2.4Choosing fairly: the criteria matrix

When it's time to converge, score every concept against the same criteria from the brief, out of 5, and add up. Here is one worked correctly for three pencil-case concepts:

Criterion (score /5)A — fold-flat caseB — rigid boxC — soft sleeve
Easy to carry524
Cheap to make435
Protects contents352
Looks appealing342
Total151413
Why this beats "I just like A best"

Concept A wins 15 to 14 to 13 — but the matrix also shows why: it trades some protection for portability and cost. The decision is now an argument you can defend with evidence, and a marker can follow it. That is exactly what "justify your design" means.

Unit 3PrototypingBuild · Test · Improve

Prototyping & iteration

A prototype is a question made physical. You don't build one to show off — you build the cheapest thing that can tell you whether an idea works, before it's expensive to be wrong.

3.1Fidelity: how finished should it be?

  • Low-fidelity prototypes are rough and fast — paper screens, a taped cardboard shape, acting out a service with sticky notes. Minutes to make, so failure costs nothing.
  • High-fidelity prototypes look and work close to the real thing — a painted foam appearance model, a working coded app. Slow and costly, so they come late, when the big questions are already answered.
  • Fail fast doesn't mean rushing to failure — it means finding the flaws early, at cardboard prices, instead of late, at final-material prices.
  • Choose materials and processes to suit the prototype's question: cardboard answers "is it the right size and shape for a hand?"; a 3D-printed part answers "do these pieces actually fit together?"; final materials only when the question is "will it survive real use?"

3.2The iteration loop

BUILD quick, cheap, just enough TEST real users, real tasks LEARN what failed teaches most IMPROVE change what the test showed put it in users' hands record what happened decide what to change the next version goes in one lap = one iteration each lap, the prototype answers a harder question
Figure 3.1 — build, test, learn, improveIteration means going around this loop deliberately: version 2 exists because of what version 1's test revealed. A design folio that shows three imperfect iterations scores better than one that shows a single "perfect" final product with no journey.

3.3Testing with users, properly

  • Give the user a real task ("pack this for a school day") and then watch silently. Every time you explain or defend the design, you erase the evidence of where it fails.
  • Record what actually happened — where they hesitated, what they got wrong, what they said unprompted. Feelings fade; notes don't.
  • Feedback is data about the design, not a verdict on the designer. "The tester couldn't find the opening" is a gift: it's the next iteration's to-do list.
Unit 4Responsible designSustainability · Inclusion · IP

Design in the world

Every designed object carries decisions about the planet, about who gets to use it, and about whose idea it was. Most of those decisions are locked in before anything is manufactured.

4.1Sustainable design: think in life cycles

RAW MATERIALS mined, grown, harvested MANUFACTURE energy in, waste out USE the product's life END OF LIFE worn out or unwanted RECYCLE — materials go around again REUSE — a second life thrown away LANDFILL the dead end REDUCE happens before the diagram even starts: design the product to need less material and energy in the first place.
Figure 4.1 — the product life cycleLife cycle thinking means judging a design across every stage, from raw materials to end of life — not just the moment it's used. Reduce, reuse and recycle are strongest when they are designed in from the start: fewer materials, a product worth keeping, and parts that come apart for recovery — not bolted on as an afterthought.
  • Around 80% of a product's environmental impact is locked in at the design stage — material choice, energy use, repairability and recyclability are all decided before manufacture begins.
  • Design for disassembly: screws instead of glue, materials that separate cleanly — so at end of life the materials can actually be recovered.
  • A product that mixes materials inseparably (foil-lined plastic, glued composites) usually can't be recycled, whatever the label implies.

4.2Inclusive design: design for everybody

  • Accessibility asks: can people with different abilities — limited grip, low vision, a wheelchair, colour-blindness — actually use this?
  • Inclusive design goes further: design for the widest range of people from the start. The famous pattern: solving for users at the extremes improves the design for everyone.
  • Real examples: the easy-grip vegetable peeler designed for arthritic hands became everyone's favourite peeler; kerb ramps cut for wheelchairs turned out perfect for prams, bikes and delivery trolleys.
  • Ethical designers also ask who is left out: a touchscreen-only kiosk excludes blind users; tiny grey text excludes half the room.

4.3Whose idea is it? Intellectual property basics

  • Intellectual property (IP) is legal ownership of creations of the mind. It exists so inventors and creators can benefit from their work — which encourages more of it.
  • A patent protects how an invention works — a mechanism, a process. It must be registered, and it expires.
  • A trademark protects a brand's name and logo — the mark customers recognise.
  • Copyright protects creative work — drawings, text, code, music — and applies automatically in Australia the moment the work is created.
  • For your folio: being inspired by existing products is how design works; copying one and presenting it as yours is not.
Start hereYear 9 ElectiveDigital Solutions

From "it works" to "it's well built".

Four units: the number systems and file sizes underneath every app, the patterns that keep code readable, how real data is stored and questioned, and how to build something a stranger can actually use — built from the Year 9–10 Digital Technologies descriptions.

The mapFour units

  1. Data under the hood — binary, hexadecimal, colour codes, file sizes and compression.
  2. Programming patterns — functions, parameters, return values, arrays, and the bugs that bite everyone.
  3. Structured data — records and fields, tables, queries, validation, and why one big table isn't enough.
  4. Building for users — interface principles, wireframes, accessibility, user testing and staying safe online.
What Year 9 Digital Solutions is actually assessed on

Representing data in different number systems and estimating its size; designing modular algorithms using functions and arrays; storing and querying structured data; and designing, testing and evaluating a digital solution against the needs of real users.

Unit 1Data representationHex · Colour · File size

Data under the hood

You already know data is binary. This unit adds the shorthand professionals actually use — hexadecimal — then answers the two questions every project runs into: how big is this file, and can I make it smaller?

1.1Binary, fast review

  • A bit is one 0 or 1; eight bits make a byte. Binary columns double: 128, 64, 32, 16, 8, 4, 2, 1.
  • Read a binary number by adding the columns holding a 1. 1011 = 8 + 2 + 1 = 11. 11111111 = 255, the largest one byte can hold.
  • Write decimal as binary by taking the biggest column that fits, then the next. 26 → 16 fits (1), 8 fits (1), 4 doesn't (0), 2 fits (1), 1 doesn't (0) = 11010. Check: 16 + 8 + 2 = 26.

1.2Hexadecimal: why 16 digits beat 2

Binary is correct but unreadable — nobody wants to dictate 11001010 over the phone. Hexadecimal ("hex") counts in 16s, so it needs six extra digits after 9: A B C D E F stand for 10, 11, 12, 13, 14, 15.

Decimal0123456789101112131415
Hex0123456789ABCDEF
Binary (4 bits)0000000100100011010001010110011110001001101010111100110111101111
The reason hex exists: 1 hex digit = exactly 4 bits

Four bits have 16 patterns; hex has 16 digits — a perfect match. So converting is chunking, not arithmetic: split the binary into fours from the right and swap each chunk for its hex digit. 110010101100 1010C A = CA. Going to decimal: C is 12, so 12 × 16 = 192, plus A which is 10, gives 202. Two hex digits cover exactly one byte, 00 to FF (0 to 255) — which is why hex is everywhere bytes are.

HexWorking (left digit × 16, plus right digit)Decimal
1F1 × 16 = 16, plus F = 1531
2A2 × 16 = 32, plus A = 1042
808 × 16 = 128, plus 0128
FFF = 15, so 15 × 16 = 240, plus 15255

1.3Colour as #RRGGBB

# FF 88 00 RED amount GREEN amount BLUE amount hex FF = 255 of 255 hex 88 = 136 of 255 hex 00 = 0 of 255 red light on full green light about half blue light off The resulting colour RGB (255, 136, 0) — orange Two hex digits per colour, because two hex digits are exactly one byte: 00 to FF is 0 to 255. #FFFFFF is white (all three on full), #000000 is black (all three off), #FF0000 is pure red.
Figure 1.1 — reading a colour codeA web colour is six hex digits in three pairs: RR, GG, BB. Each pair is one byte — how much of that light to mix, 00 (none) to FF (full). Read the pairs separately and you can predict any colour: lots of red, some green, no blue makes orange.

1.4File sizes

  • Sizes climb in steps of 1024 (210), because computers count in binary: 1024 bytes = 1 kilobyte (KB), 1024 KB = 1 megabyte (MB), 1024 MB = 1 gigabyte (GB). (Storage adverts often round to 1000 — that's why a "500 GB" drive shows less.)
  • Estimating an uncompressed image is arithmetic: pixels × bytes per pixel. A 100 × 100 photo in RGB is 10,000 pixels × 3 bytes = 30,000 bytes (about 29 KB).
  • Text is cheap: one character ≈ 1 byte, so a 500-word essay is a few KB. Video is brutal: it is many full images every second.

1.5Compression: lossy vs lossless

LosslessLossy
What it doesRecords the data more cleverly — e.g. "40 white pixels" instead of listing 40Throws away detail people are unlikely to notice
Can you get the original back?Yes — perfectly, every bitNo — the discarded detail is gone forever
Size savingModestLarge
Typical usesZIP archives, PNG images, program files, textJPEG photos, MP3 audio, streamed video
The one rule that decides it

If losing a single byte would break the file — a program, a spreadsheet, a document — you must use lossless. If it is something human senses judge — a photo, a song — lossy buys a much smaller file for a loss most people never notice. Re-saving a lossy file again and again keeps discarding detail: the damage stacks up.

Unit 2Creating solutionsFunctions · Arrays · Tracing

Programming patterns

Beginner code is one long list of instructions. Real code is built from small named parts that each do one job, and from lists of data walked through by loops. Both ideas are simple — and both come with a signature bug.

2.1Functions: why break code up

  • A function is a named block of code that does one job. You call it by name instead of repeating its lines.
  • Write it once, use it everywhere: one fix repairs every use. Duplicated code has to be fixed in every copy — and one copy always gets missed.
  • A parameter is the input a function is given; an argument is the actual value passed in at the call. The return value is the answer it hands back.
  • Names matter: calculateTotal tells the next reader what happens. doThing tells them nothing.
LinePseudocodeWhat happens
1FUNCTION areaOfRect(width, height)width and height are the parameters
2  RETURN width × heighthands the answer back to whoever called
3END FUNCTION
4PRINT areaOfRect(5, 3)5 and 3 are the arguments; prints 15
5PRINT areaOfRect(10, 2)same function, new values; prints 20

2.2Lists (arrays) and walking through them

  • An array (or list) holds many values under one name: scores ← [7, 4, 9, 2].
  • Each value has an index, and programming counts from 0. So scores[0] is 7, scores[1] is 4, scores[2] is 9, scores[3] is 2. The list's length is 4, but the last index is 3.
  • A loop lets you visit every element without writing a line per value — and it works no matter how long the list grows.
PassPseudocode: total ← 0, then FOR EACH n IN [7, 4, 9, 2]: total ← total + nntotal after
starttotal ← 00
1total ← total + n77
2total ← total + n411
3total ← total + n920
4total ← total + n222

2.3The two bugs everyone meets

  1. Off-by-one. A list of 4 items has indexes 0 to 3. Asking for item 4 runs off the end; looping "1 to length" skips index 0. Always check the first and last item, never the middle — the middle is always fine.
  2. Infinite loop. The condition never becomes false, so the program hangs. Nearly always the line that changes the loop variable is missing, or changes it the wrong way. Before writing a loop, answer: what makes this stop?

2.4Trace tables

A trace table is a desk check with columns: one per variable, one row per line executed. Trace this and you can answer any exam question about it:

Line executednresultCondition n > 1
n ← 5  /  result ← 151
WHILE test, then result ← result × n, n ← n − 1455 > 1 true
same two lines again3204 > 1 true
same two lines again2603 > 1 true
same two lines again11202 > 1 true
WHILE test fails, so PRINT result11201 > 1 false — loop ends
How to trace without losing marks

Write one column per variable and never erase — add a new row instead, so the history is visible. Update variables in the exact order the lines appear; a line that uses a variable it just changed is where most slips happen. Finally, record the condition's true/false at each pass: that column is what proves when the loop stopped.

Unit 3Data & informationRecords · Queries · Validation

Structured data

Data becomes useful the moment it has a shape. Give it fields and records and you can ask it questions — and stop people typing nonsense into it in the first place.

3.1Fields, records, tables

  • A field is one piece of information about a thing — a column, like Title or Year. Each field has a data type: text, number, date, or true/false (boolean).
  • A record is everything known about one thing — a row: one whole book, one whole student.
  • A table is all the records of the same kind together, with the fields as its columns.
BookID (number)Title (text)Author (text)Year (number)OnLoan (boolean)
1Storm BoyThiele1964true
2Playing Beatie BowPark1980false
3Tomorrow, When the War BeganMarsden1993false

Every column above is a field; every row is a record; the whole thing is a table. Choosing the type matters: a Year stored as text can't be compared or sorted numerically.

3.2Asking questions: filter and sort

  • A query asks the data a question and returns only the records that answer it.
  • Filter = keep only the records matching a condition. "Year > 1975" returns records 2 and 3 from the table above.
  • Sort = put records in order by a field, ascending or descending. Sorting by Year ascending gives 1964, 1980, 1993.
  • Filtering and sorting change what you see, not what is stored. The records themselves are untouched.

3.3Validation vs verification

ValidationVerification
Question it answersIs this data sensible?Is this data what was actually given?
Who does itThe computer, automaticallyA person, or a double-entry check
ExamplesRange check (age 0–120), type check (numbers only), presence check (not blank), format check (email has an @)Typing a new password twice; proof-reading an address against the form
The distinction markers love

Validation cannot tell you the data is true — only that it is possible. A birth year of 1804 fails a range check, but a wrong-but-plausible 2010 sails through. That is exactly what verification is for.

3.4One flat file, or linked tables?

A flat file is a single table holding everything. It works until the same information has to be repeated:

Loan recordMember nameMember phoneBook
1A. Nguyen0400 111 222Storm Boy
2A. Nguyen0400 111 222Playing Beatie Bow
3A. Nguyen0400 111 333Tomorrow, When the War Began
  • The phone number is stored three times — wasted space, and worse: when it changed, only one row was updated. Now the database contradicts itself and nobody knows which row is right.
  • The fix is linked tables: a Members table holding each member's details once, and a Loans table that refers to the member by their ID. Change the number in one place and every loan is instantly correct.
  • Splitting data into linked tables to remove repetition is the core idea you'll meet again in Year 10 as relational databases.
Unit 4Digital solutionsInterfaces · Testing · Safety

Building for users

Working code is half a solution. The other half is a person who has never seen your app, has one hand full, and gives up in about eight seconds. Design for them — and protect them.

4.1Interface principles

  1. Consistency — the same action looks and sits the same everywhere. Users learn your app once, not once per screen.
  2. Visibility — the important action is obvious without hunting. If a user has to search, the design failed, not the user.
  3. Feedback — every action gets a visible response: a button state, a spinner, a confirmation. Silence makes people tap again and send twice.
  4. Forgiveness — mistakes must be undoable, and destructive actions must confirm first.
  5. Simplicity — one screen, one main job. Everything competing for attention makes nothing stand out.

4.2Wireframes: plan before you build

Header — the app or page name Search input — where the user types Primary button — the one main action Results list — one row per book found Crossed box — an image goes here Bottom navigation — three main sections always in the same place: consistency wide, because typing needs room biggest and boldest: visibility grey lines stand for text not written yet no artwork is chosen at wireframe stage reachable by thumb at the bottom A wireframe shows layout and priority only — deliberately no colours, fonts or real content, so feedback is about the structure.
Figure 4.1 — a wireframe of a book-search screenA wireframe is a deliberately plain sketch of what goes where and what matters most. Grey lines stand in for unwritten text and crossed boxes for images, so nobody argues about the shade of blue before the layout is agreed. It takes minutes to redraw — and redrawing a sketch is far cheaper than rebuilding an app.

4.3Accessibility basics

  • Contrast. Text must stand out strongly from its background. Pale grey on white is unreadable in sunlight and for many users indoors too.
  • Alternative text. Every meaningful image needs a written description, so a screen reader can say what it shows to someone who can't see it.
  • Don't rely on colour alone. Add a word, an icon or a shape — a red-only error message is invisible to a colour-blind user.
  • Keyboard access. Everything clickable must also be reachable and usable with the keyboard alone.
  • Target size. Buttons must be big enough for a finger, and spaced so the wrong one isn't hit.

4.4Testing with real users

  1. Pick a real task ("find a book by Marsden and borrow it"). Never say "have a look around" — that tests nothing.
  2. Give them the task and then stay quiet. Every hint you give is a hint your app should have given.
  3. Watch where they hesitate, tap the wrong thing, or backtrack. Hesitation is data.
  4. Change the design, not the user. "They should have known" is not a finding.
  5. Test again after fixing — and with someone new, because the first person has now learnt the app.

4.5Cybersafety

  • Phishing is a fake message pretending to be someone you trust, designed to make you hand over a password or click a bad link. Tells: false urgency ("your account closes today"), a slightly wrong sender address, a link whose real destination differs from its text, and a request nobody legitimate makes — your password.
  • A passphrase of several unrelated words is both stronger and easier to remember than a short password with symbols. Length is what defeats guessing machines.
  • Never reuse a password across accounts: one leaked site otherwise opens all of them.
  • Two-factor authentication adds a second proof — a code from your phone or an app — so a stolen password alone is not enough to get in. Turn it on for email first: whoever controls your email can reset everything else.
Start hereYear 9 ElectiveEngineering Principles & Systems

How things push, pull, spin and decide.

Four units: the five ways forces attack an object, the simple machines that trade force for distance, how energy flows through every system, and the control loops that let machines steer themselves — the Year 9 Engineering Principles & Systems context of Design & Technologies.

The mapFour units

  1. Forces on things — tension, compression, shear, torsion and bending, and why triangles refuse to collapse.
  2. Simple machines & mechanisms — levers, pulleys, gears, cams and linkages: the parts every machine is built from.
  3. Energy in systems — input → process → output, energy changing form, and why no machine is 100% efficient.
  4. Control systems — open and closed loops, sensors, controllers and actuators, and where microcontrollers fit.
What this elective is actually about

Engineered systems — a bike, a crane, a heater — can all be read the same way: forces act on their parts, mechanisms redirect motion and force, energy flows through and changes form, and control decides what happens next. Learn the four lenses and you can take any machine apart on paper.

Unit 1Engineering principlesFive forces · Loads · Triangles

Forces on things: five ways to break an object

Every part of every structure is being pushed, pulled, slid, twisted or bent — usually several at once. Engineers give each attack a name, because a part that shrugs off one can fail instantly under another.

1.1The five forces

TENSION pulled apart — stretched rope in a tug-of-war COMPRESSION squashed together chair legs under you SHEAR layers slide opposite ways paper between scissor blades TORSION twisted — ends turn opposite ways opening a jar lid load pushes mid-span BENDING flexed — one face stretches, the other squashes a shelf of books Every red arrow shows the direction a force acts on the green part. Bending is really tension and compression at once: the underside of a sagging shelf stretches while its top squashes.
Figure 1.1 — the five forcesTension pulls apart, compression squashes, shear slides one layer across another, torsion twists, and bending flexes — which is secretly tension on one face and compression on the other at the same time. Materials play favourites: rope is superb in tension and useless in compression; concrete is the exact opposite.

1.2Static and dynamic loads

  • A load is any force a structure must carry. A static load stays steady — the weight of the roof itself, a full water tank sitting on a stand.
  • A dynamic load changes or moves — wind gusts, a truck crossing a bridge, a crowd jumping in a grandstand. Dynamic loads are harder on structures because they hit suddenly and repeat.
  • Repeated dynamic loading can crack a part at forces far below what would break it once — engineers call this fatigue. Bend a paperclip once and it survives; bend it back and forth twenty times and it snaps.
  • Engineers design for the worst realistic load, then add a safety margin on top — never for the average day.

1.3Why triangles win

The one shape that cannot lozenge

Push on a square frame and it collapses sideways into a diamond without any side changing length — only the joints swing. Push on a triangle and it cannot change shape unless a whole side stretches or squashes, and solid material strongly resists both. That is why bridges, cranes, roof frames and pylons are full of triangles: adding a diagonal brace to a wobbly square turns it into two rigid triangles.

Unit 2MechanismsLevers · Pulleys · Gears

Simple machines: trading force for distance

No machine gives you free energy. What levers, pulleys and gears actually do is trade: less force over more distance, or more force over less. Every gadget you own is built from these few moves.

2.1Levers: three classes

Every lever has three players: the fulcrum (the pivot), the load (what you're moving) and the effort (the force you apply). The class of a lever is simply which of the three sits in the middle.

fulcrum Load Effort CLASS 1 fulcrum in the middle seesaw · scissors · pliers fulcrum Load Effort CLASS 2 load in the middle wheelbarrow · nutcracker · bottle opener fulcrum Effort Load CLASS 3 effort in the middle tweezers · fishing rod · broom Blue arrow = load (the force being moved) · red arrow = effort (the force you apply) · orange triangle = fulcrum (the pivot).
Figure 2.1 — the three lever classesThe class is set by what's in the middle: class 1 fulcrum, class 2 load, class 3 effort. A class 2 lever always multiplies your force, because the effort is always further from the fulcrum than the load. A class 3 lever does the opposite — you push harder than the load, but the load end moves further and faster, which is exactly what you want from a fishing rod or a broom.

2.2Pulleys

  • A single fixed pulley changes the direction of your pull — haul down to lift up — but not its size. Mechanical advantage: 1.
  • Add a movable pulley attached to the load and two rope sections now share the weight: you pull with half the force, but pull twice as much rope. Mechanical advantage: 2.
  • The rule for an ideal pulley system: mechanical advantage = the number of rope sections supporting the load. Four supporting sections → a quarter of the force, four times the rope.
  • That is the machine trade in its purest form: force down, distance up, energy the same.

2.3Gears and gear ratio

DRIVER — 20 teeth, turns 3 times DRIVEN — 60 teeth, turns ONCE, in the opposite direction the teeth mesh here Gear ratio = driven teeth ÷ driver teeth = 60 ÷ 20 = 3 — a 3 : 1 ratio output speed = input speed ÷ 3 turning force (torque) ≈ 3× bigger meshed gears always counter-rotate The 60-tooth gear is drawn 3× the radius of the 20-tooth gear — tooth count grows with circumference, so 3× the teeth means 3× the size.
Figure 2.2 — a 3 : 1 gear pairCount teeth, not size: gear ratio = driven teeth ÷ driver teeth. Here 60 ÷ 20 = 3, so the driver spins 3 times per output turn — the output is 3× slower but turns with about 3× the force. Flip the pair (drive the big gear) and you get the opposite trade: 3× the speed for a third of the force. A bicycle does exactly this with its chainrings and rear cogs.
  • Worked example: driver 15 teeth, driven 45 teeth. Ratio = 45 ÷ 15 = 3. If the driver spins at 120 revolutions per minute, the driven gear spins at 120 ÷ 3 = 40 rpm.
  • Gearing down (small drives big): slower, stronger — a car in first gear, a drill's chuck. Gearing up (big drives small): faster, weaker — a bike in top gear.
  • A cam is a non-round wheel that converts rotation into a repeating push — up-down-up-down — as a follower rides its edge. Car engines use cams to open valves at exactly the right moment.
  • A linkage is a chain of pivoting bars that carries motion somewhere else, changing its direction or size on the way — the mechanism behind vice-grips, folding clothes racks and digger arms.
Unit 3Systems thinkingInput → Process → Output

Energy in systems: follow the flow

Engineers read any machine as a system: energy goes in, gets processed, and comes out — some as the useful thing you wanted, the rest as waste. Track the flow and you understand the machine.

3.1Input, process, output

INPUT chemical energy in the battery PROCESS the torch: circuit + LED USEFUL OUTPUT light WASTED OUTPUT thermal energy warming the case energy flows in electrical → light electrical → heat Energy is never destroyed: useful output + wasted output = input. The torch just splits the flow.
Figure 3.1 — a torch as a systemEvery machine fits this frame. Kettle: electrical in → heating element → hot water (useful) + warm kitchen (wasted). Bike: chemical energy from food in → legs and chain → motion (useful) + heat from friction (wasted). Naming input, process and output is always the first step in analysing a system.

3.2Energy changes form

  • The forms worth knowing: kinetic (movement), gravitational potential (raised up), elastic potential (stretched or squashed), chemical (stored in fuel, food, batteries), electrical, thermal, light and sound.
  • Machines are energy converters: an electric motor turns electrical energy into kinetic energy; a generator is the same idea run backwards — spin it, and kinetic energy becomes electrical.
  • The law of conservation of energy: energy cannot be created or destroyed, only converted. If your machine outputs less useful energy than went in — and it always does — the difference left as waste, almost always heat.
  • That's why "waste" heat is the universal clue: a warm phone charger, a hot laptop, a hot drill are all leaking energy that never became the useful output.

3.3Efficiency

The efficiency formula

Efficiency = useful energy out ÷ total energy in × 100. A motor fed 200 J that delivers 150 J of movement is 150 ÷ 200 × 100 = 75% efficient — the other 50 J became heat and sound. Nothing reaches 100%: an old incandescent bulb turned only about 5% of its energy into light, which is why LEDs replaced it. Higher efficiency means less fuel, less cost, less waste heat — a core design goal.

Unit 4Control systemsOpen loop · Closed loop · Feedback

Control systems: machines that steer themselves

A toaster runs blind; a thermostat checks its own work. The difference — feedback — is the single most important idea in control, and it splits every automated system into one of two families.

4.1Open loop vs closed loop

OPEN LOOP — no feedback (the toaster never looks at the toast) INPUT you press the lever CONTROLLER: timer counts a set time ACTUATOR: heating element toast pops — done or not start signal on for the set time CLOSED LOOP — feedback (the thermostat checks its own result) SET POINT you choose 21 °C CONTROLLER: thermostat compares measured vs set ACTUATOR: heater warms the room SENSOR: thermometer measures the room target on / off command room air reaches the sensor FEEDBACK measurement returns Too cold → heater on. Warm enough → heater off. The loop runs forever, holding the room near 21 °C.
Figure 4.1 — open loop vs closed loopAn open-loop system acts, then hopes: no sensor, no correction — the toaster burns pale bread and undercooks thick bread with equal confidence. A closed-loop system measures its own output and feeds the result back to the controller, correcting endlessly. The red return arrow is the feedback — cover it up and the thermostat becomes as blind as the toaster.

4.2Sensor → controller → actuator

  • Every closed-loop system has the same three jobs. The sensor measures the real world: temperature, light, distance, moisture, speed.
  • The controller decides: it compares the measurement with the target and chooses an action. In old systems this was a mechanical switch; today it is usually a chip.
  • The actuator acts on the world: a heater, motor, valve, buzzer or light — the muscle of the system.
  • Examples everywhere: a fridge (sensor: thermometer → actuator: compressor), cruise control (speed sensor → throttle), automatic greenhouse (moisture sensor → water valve).
Where microcontrollers fit

A microcontroller (like a micro:bit or Arduino) is a small, cheap computer that plays the controller role: sensors wire into its inputs, actuators hang off its outputs, and the decision rule is a program you write — if temperature < 21, switch heater on. Same loop as a 1950s thermostat, but the rule can now be as clever as you can code, and one chip can run dozens of loops at once.

Start hereYear 9 TechnologiesFood Specialisations · Elective

Every good cook is running experiments.

Why does an egg set? Why does bread brown but boiled chicken doesn't? Why must rice be cooled fast? Four units answer the science questions behind the cooking — and follow food all the way from the paddock to the bin.

The mapFour units

  1. Food science — what heat does to protein, sugar and starch, and the four ways a mixture rises.
  2. Food safety systems — what bacteria need, which foods are high-risk, temperature control, HACCP and allergen law.
  3. Nutrition for life stages — changing energy needs, the adolescent's three key nutrients, and adapting recipes for dietary needs.
  4. The food system — paddock to plate, food miles and waste, and the preservation methods that beat spoilage.
What Year 9 Food Specialisations is actually assessed on

Explaining why, not just what. Name the reaction (denaturation, Maillard, caramelisation, gelatinisation) and the conditions it needs; justify a safety decision with a temperature and a reason; adapt a recipe for a stated dietary need and say what the substitution replaces.

Unit 1Food SpecialisationsHeat · Reactions · Raising agents

Food science: what heat does to food

Heat doesn't just make food hot — it rewrites it. Four reactions explain most of what happens in a kitchen, and knowing which one you are chasing tells you exactly how to cook.

1.1The four reactions

ReactionWhat changesNeedsYou see it in…
Denaturation
(protein)
Heat unravels the folded protein molecules; they then tangle together and set. The change is permanent — a cooked egg never un-cooks.heat (egg white sets from about 60 °C); acid and beating can denature proteins tooegg white turning white and firm, meat firming and shrinking, milk skin on custard
Maillard browningProteins (amino acids) react with sugars to make hundreds of new brown, savoury-smelling compounds.protein and sugar together, a fairly dry surface, and high heat — roughly 140 °C and uptoast, bread crust, seared steak, roast coffee, browned onions
CaramelisationSugar alone breaks down and rebuilds into brown, bitter-sweet compounds.sugar only — no protein needed — and strong heat (table sugar from about 160 °C)toffee, caramel sauce, the dark edges of roasted pumpkin
Gelatinisation
(starch)
Starch granules soak up water, swell, burst and release starch, thickening the liquid around them.starch + liquid + heat — it begins around 60–70 °C; without water nothing happenswhite sauce thickening, gravy, custard, rice absorbing water and swelling
  • Maillard and caramelisation both brown food, but they are not the same reaction. The tell: caramelisation is sugar on its own; Maillard needs protein as well as sugar. Golden toast is Maillard; molten toffee is caramelisation.
  • This is why boiled or steamed food never browns: at about 100 °C, water-based cooking never reaches Maillard or caramelisation temperatures, and the wet surface keeps it cool.
  • It is also why you pat a steak dry before searing — the pan must first boil off surface water before the surface can climb past 100 °C and brown.
  • Gelatinisation is the odd one out: it is the only one of the four that needs water in order to happen.

1.2Raising agents: four ways to trap gas

A raised mixture is simply a mixture full of trapped gas bubbles that expand in the heat and are then held in place as the structure sets. There are four ways to get the gas in.

TypeAgentGas, and where it comes fromUsed in
BiologicalYeast — a living single-celled fungusCarbon dioxide, from yeast feeding on sugars (fermentation). Needs warmth, moisture, food and time to prove.bread, pizza dough, buns
ChemicalBaking powder, or bicarbonate of soda plus an acidCarbon dioxide, from a chemical reaction between the bicarbonate and an acid once liquid is added; heat releases more. Works in minutes.cakes, muffins, scones, pancakes
MechanicalAir, beaten in by youAir, from whisking, creaming butter and sugar, sifting, or folding. No reaction — pure physical work.sponge cake, meringue, whipped mousse
SteamWater already in the mixtureSteam: water turns to vapour at 100 °C and expands enormously, pushing layers apart. Needs a hot oven and a wet mixture.choux pastry, puff pastry, Yorkshire puddings
  • Yeast and baking powder both produce carbon dioxide, but by completely different routes: yeast is alive and feeds (slow — an hour or more of proving); baking powder is a chemical reaction (fast — which is why cake batter goes into the oven straight away).
  • Bicarbonate of soda on its own needs an acid partner in the recipe — lemon juice, yoghurt, buttermilk, golden syrup. Baking powder already contains its own dry acid, so it works in any mixture.
  • Most recipes stack them: a scone uses baking powder and the steam from its milk; puff pastry uses steam alone and does the rest with folding.
A classic full-marks answer

"Why does bread have a brown crust but a pale crumb?" Because the crust dries out and reaches Maillard temperatures (about 140 °C and above), where protein and sugar react to brown it. The inside stays wet, so it cannot rise above about 100 °C and cannot brown. Same loaf, two temperatures.

Unit 2Food SpecialisationsBacteria · Temperature · HACCP · Allergens

Food safety systems: from rules to a system

In Year 8 food safety was a list of rules. At Year 9 it becomes a system: know what bacteria need, remove one of those needs, and check the points where it actually matters.

2.1What bacteria need — and which foods give it to them

  • Food-poisoning bacteria need five things: food (especially protein), moisture, warmth (the 5–60 °C danger zone), time, and for most of them a near-neutral pH — they dislike acid. Take away any one and growth stops. Every preservation method in Unit 4 is exactly that: removing one need.
  • High-risk foods are the ones that give bacteria everything they want: moist and protein-rich. Raw and cooked meat and poultry, seafood, dairy, eggs, cooked rice and pasta, prepared salads, and small goods. They must be kept out of the danger zone.
  • Low-risk foods are missing something: dry (flour, biscuits, rice before cooking), very acidic (vinegar, pickles), very salty or sugary (jam, honey — sugar ties up the water so microbes cannot use it).
  • Cooked rice deserves its own warning: Bacillus cereus spores survive cooking, so rice left to cool slowly on the bench grows toxins that reheating will not destroy. Cool it fast, refrigerate it, and don't keep it for days.

2.2Temperature control

75 °C in the centre 60 °C and above 5 °C to 60 °C 5 °C or below −18 °C or below COOK AND REHEAT to this HOT-HOLD serving food here THE DANGER ZONE FRIDGE FREEZER measure in the thickest part; kills the bacteria present buffets, bain-maries: hot enough to stop growth bacteria multiply fastest — move food through it quickly growth slows almost to a stop; food stays safe for days growth stops completely — but bacteria are not killed
Figure 2.1 — the temperatures that matterCold storage pauses bacteria; only cooking kills them. That is why frozen food is not sterile: thaw it and any bacteria present carry on where they stopped — so thaw in the fridge, never on the bench.
  • Cooling cooked food safely, the Australian rule: 60 °C down to 21 °C within 2 hours, then 21 °C down to 5 °C within a further 4 hours. Shallow containers and dividing large batches are how you hit it.
  • Reheating is not the same as hot-holding: reheat quickly and thoroughly to 75 °C, then hold at 60 °C or above. Reheat once only.
  • Never thaw frozen food on the bench: the outside sits in the danger zone for hours while the middle is still frozen. Thaw in the fridge.

2.3HACCP: checking where it counts

HACCP (say "hassup") stands for Hazard Analysis and Critical Control Points. It is the system every Australian food business runs on, and the idea is simple: instead of hoping the final product is safe, you find the few steps where safety is actually decided and control those.

  1. Identify the hazards — what could make someone ill at each step? (Bacteria in raw chicken; a metal fragment; an undeclared allergen.)
  2. Find the critical control points (CCPs) — the steps where you can actually remove or control that hazard: cooking, cooling, cold storage, reheating.
  3. Set a limit for each — a number, not a feeling: "cooked to 75 °C in the centre", "fridge at 5 °C or below".
  4. Monitor — measure it. A probe thermometer, a fridge log, checked at set times.
  5. Correct and record — if a limit is missed, act (keep cooking, discard the batch, fix the fridge) and write down what happened.
Why a hazard is not a CCP

"Raw chicken carries Salmonella" is a hazard — a danger you have identified. "Cook to 75 °C in the centre" is the critical control point: the step that actually destroys it, with a limit you can measure. Hazards are what could go wrong; CCPs are where you stop it.

2.4Allergens and the label

  • A food allergy is an immune reaction to a food protein. It can be severe: anaphylaxis is a life-threatening reaction affecting breathing and blood pressure, treated with adrenaline. A tiny trace can be enough — which is why "I picked the nuts off" is not a safe answer.
  • An intolerance (such as lactose intolerance) is a digestive problem, not an immune one: unpleasant, but not life-threatening. Don't mix the two up in an exam.
  • Australian food law requires certain allergens to be declared on the label whenever they are present, in plain English and in bold: peanuts, tree nuts, milk, egg, fish, crustacea, molluscs, sesame, soy, lupin, cereals containing gluten (such as wheat), and added sulphites.
  • In the kitchen, allergen cross-contact is the risk: the same knife, board, oil, or a stir with the same spoon can carry enough protein to trigger a reaction. Prepare allergen-free food first, on clean, separate equipment.
Unit 3Food SpecialisationsLife stages · Key nutrients · Adapting recipes

Nutrition for life stages: same body, changing needs

A toddler, a fifteen-year-old and an eighty-year-old need very different food from the same five groups. And some people at every stage need a recipe changed, not just admired — which is a design problem.

3.1Energy and needs across life

Life stageWhat is happeningFood priorities
ChildhoodSteady growth; small stomachs, high activityregular meals and snacks; nutrient-rich food rather than bulk
AdolescenceThe fastest growth since infancy — height, muscle, blood volume, bonethe highest energy needs of any stage; protein, iron and calcium especially
AdulthoodGrowth has stopped; needs depend on activity levelenergy matched to activity, to maintain a healthy weight
PregnancyBuilding another personextra iron, folate (protects the baby's developing spine and brain) and calcium
Older adultsEnergy needs fall, but nutrient needs do not; appetite often dropsfewer kilojoules but the same or more calcium, protein, fibre and fluids

The pattern to remember: energy needs rise and fall across life, but nutrient needs don't follow them. An older adult eating less food still needs just as much calcium — so every mouthful has to work harder.

3.2The teenage three: protein, iron, calcium

  • Protein — the material of growth: muscle, blood, skin, enzymes. Sources: meat, fish, eggs, dairy, legumes, tofu, nuts.
  • Iron — makes haemoglobin, which carries oxygen in the blood. Too little causes anaemia: tiredness, paleness, poor concentration. Teenage girls need more than boys, because iron is lost with menstruation. Sources: red meat, chicken, fish, legumes, tofu, green leafy vegetables, iron-fortified cereal.
  • Calcium — builds bone and teeth. Around 90% of adult bone mass is laid down by the end of the teens, so this is the one nutrient you cannot catch up on later; too little raises the risk of osteoporosis (weak, brittle bones) decades on. Sources: milk, yoghurt, cheese, calcium-fortified soy milk, tinned fish with soft bones.
The iron trick worth knowing

Iron comes in two forms. Haem iron, from meat, fish and chicken, is absorbed easily. Non-haem iron, from plants — legumes, spinach, fortified cereal — is absorbed far less well, unless vitamin C is eaten in the same meal. Beans with tomato, cereal with orange juice, lentils with capsicum: the vitamin C markedly increases how much iron the body actually takes up. This matters most for vegetarians.

3.3Dietary needs, and how to adapt a recipe

NeedWhat it meansWatch forAdapting a recipe
VegetarianNo meat (a vegan diet excludes all animal products, including dairy, eggs and honey)protein, iron, vitamin B12, zincswap meat for legumes, tofu, eggs or dairy; add a vitamin C food to boost iron uptake; vegans need a reliable B12 source such as fortified foods
Coeliac diseaseAn autoimmune disease: gluten damages the lining of the small intestine, so nutrients stop being absorbed. Not an allergy, not a preference — and lifelong.gluten in wheat, rye, barley (and oats, usually through contamination)use gluten-free flours (rice, corn, buckwheat, besan); check every sauce and stock; use clean equipment — even crumbs in a shared toaster matter
DiabetesThe body cannot properly control blood glucose (with type 1, the pancreas makes little or no insulin)the amount and type of carbohydrate, and meal timingchoose low-GI carbohydrates that release glucose slowly, keep portions and meal times regular, cut added sugar, add fibre
Lactose intoleranceCannot digest lactose, the sugar in milk — a digestive problem, not immunemilk, cream, soft cheese, ice creamuse lactose-free or plant milks; choose calcium-fortified versions so calcium is not lost
  • The rule for a good substitution: replace the ingredient's function, not just its name. Butter in pastry is there for fat and flakiness; egg in a cake binds and traps air. Swap in something that does the same job, then test the result.
  • An adapted dish still has to be worth eating. Sensory evaluation applies exactly as before — appearance, aroma, texture, flavour — and a gluten-free cake that no one enjoys has failed its brief.
Unit 4Food SpecialisationsPaddock to plate · Waste · Preservation

The food system: paddock to plate, and what happens after

Between a paddock in the Riverina and a bowl on your table sit half a dozen industries, thousands of kilometres, and several inventions designed to stop food rotting on the way.

4.1Paddock to plate

PRODUCTION PROCESSING DISTRIBUTION RETAIL CONSUMPTION WASTE growing, farming,fishing milling, freezing,packaging trucks, ships, coldchain storage supermarkets,markets, cafes cooking and eatingat home landfill, compostor animal feed Food is lost or wasted at EVERY stage — not only at the end crops left unharvested · damage in transport · unsold stock · leftovers thrown out at home Arrows show the direction food travels along the chain.
Figure 4.1 — the food supply chainEach stage adds cost, energy and packaging, and each one loses some food. About a third of the food produced in the world is never eaten — and in Australia a large share of that is thrown out in ordinary home kitchens.
  • Food miles counts the distance food travels from producer to consumer. Long distances mean more fuel burned, more emissions and more refrigeration — part of why buying local and in season is usually the lower-impact choice.
  • Food miles are not the whole story, though: a tomato trucked from a nearby heated greenhouse can carry more emissions than one grown in season further away. Distance is one factor, not the verdict.
  • Reducing food waste at home: plan meals and shop to a list, store food properly (the fridge at 5 °C or below), understand the dates — use-by is a safety limit and must be obeyed, while best-before is about quality, and food is usually still safe after it — use leftovers, and compost what is genuinely left.

4.2Preservation: removing what spoilage needs

Every preservation method works by taking away one of the things micro-organisms need — water, warmth, a friendly pH, or access to the food at all.

MethodHow it worksWhat it defeatsExamples
Canning / bottlingFood is sealed in a container and heated enough to destroy micro-organisms and stop enzymes; the seal keeps new ones out.Kills bacteria, yeasts and moulds already present, and blocks recontaminationtinned tomatoes, baked beans, bottled fruit
FreezingHeld at −18 °C or below, water is locked up as ice and everything slows to a halt.Stops microbial growth — but does not kill: they resume on thawingfrozen peas, meat, bread
Drying / dehydratingWater is removed, so microbes have nothing to grow in.Bacteria and moulds cannot grow without moisturesultanas, dried apricots, jerky, powdered milk
FermentingHelpful microbes are encouraged to convert sugars into acid (or alcohol), making the food too acidic for spoilage organisms.Spoilage bacteria, which cannot survive the low pHyoghurt, sauerkraut, kimchi, sourdough
Pickling / saltingAcid (vinegar) makes the food too sour for microbes; salt and sugar draw water out of them.Bacteria and moulds, blocked by acid or by the loss of usable waterpickled onions, olives, salted fish, jam
PasteurisationA short, controlled heat treatment kills the disease-causing microbes without cooking the food.Pathogens — the dangerous ones. Some harmless microbes survive, so milk still goes off eventuallymilk, fruit juice, egg pulp
Freezing versus canning — the distinction they test

Canning kills micro-organisms with heat and seals them out, so the food is shelf-stable for years at room temperature. Freezing only pauses them: nothing is killed, and once the food thaws, growth restarts from where it stopped. That is why thawed food must be treated as fresh food and never refrozen raw.

Start hereYear 9 ElectiveMaterials & Technologies Specialisations

Why this thing is made of that stuff.

Four units: the properties that decide how a material behaves, the four great families and what separates them, the skills of marking out, shaping and joining, and how to choose the right material and defend the choice — the Year 9 Materials & Technologies Specialisations context of Design & Technologies.

The mapFour units

  1. Why materials behave — strength, hardness, toughness, elasticity and the rest, defined precisely enough to argue with.
  2. The big four families — timbers, metals, polymers, and textiles & composites.
  3. Working with materials — marking out, cutting, shaping, and the three ways to join.
  4. Choosing well — matching material to purpose, and counting cost, availability and sustainability.
The question behind the whole course

Every object you touch is the answer to one question: which material, and why that one? A saucepan handle, a bike frame, a raincoat — each is a set of properties chosen against a set of needs, then processed and joined in ways that suit it. This course teaches you to read that answer and to write your own.

Unit 1Material propertiesStrength · Hardness · Toughness

Why materials behave the way they do

"Strong" is the vaguest word in the workshop. Engineers split it into a handful of precisely different properties — and the two most often confused, hardness and toughness, are close to opposites.

1.1The properties that matter

PropertyWhat it actually means
StrengthHow much force the material carries before it breaks. Ask "strong in what?" — rope is strong in tension, brick in compression.
HardnessHow well the surface resists scratching, denting and wear.
ToughnessHow well the material absorbs a sudden impact without cracking.
ElasticityThe ability to change shape under load and spring back to the original shape.
PlasticityThe ability to be changed in shape permanently — and stay there — without breaking.
DurabilityHow well it survives its environment over time: rain, sun, salt, insects, chemicals.
ConductivityHow readily it carries heat or electricity. The opposite is an insulator.
Hardness is NOT toughness — the classic mix-up

Glass is hard but not tough: you cannot scratch it with a fingernail, yet one knock shatters it. Rubber is tough but not hard: hit it with a hammer and it absorbs the blow, but you can scratch it with a coin. Hardness is about the surface resisting scratches and dents; toughness is about the whole part surviving a sudden impact. A chisel needs both, and steelmakers work hard to get them together: a hard edge that holds its sharpness, over a tough body that will not snap.

1.2Elastic, plastic, or broken

  • Stretch a rubber band and let go — it returns. That is elasticity: temporary, reversible change.
  • Bend a piece of soft copper wire — it stays bent. That is plasticity: permanent change without breaking. It is what makes a material malleable (hammerable into sheet) and ductile (drawable into wire).
  • Push either too far and the part breaks. Where that happens is a question of strength, not of elasticity or plasticity.
  • Design uses all three: a car body panel is pressed into shape using plasticity, a suspension spring works on elasticity, and both need enough strength to survive the road.

1.3Natural or manufactured

  • Natural materials come out of the living world or the ground and are used with little change: timber, wool, cotton, leather, stone, clay.
  • Manufactured materials are processed or synthesised until they are something new: steel (iron ore + carbon), plastics (from crude oil), MDF and plywood (wood fibres or veneers plus adhesive), glass, concrete.
  • The point of manufacturing is control: you choose the properties. Plywood is engineered so its layers cross-grain, giving even strength in both directions — something a natural plank cannot do.
  • The trade-off is usually energy and cost: manufactured materials nearly always take more energy to produce than the natural ones they replace.
Unit 2Material familiesTimber · Metal · Polymer · Composite

The big four families

Almost everything made is timber, metal, polymer, or a textile or composite. Each family splits in two along one important line — and in three of the four cases, the line is not the one the names suggest.

2.1The four families at a glance

TIMBERS Hardwood broad-leaved trees oak, jarrah, balsa Softwood cone-bearing trees pine, spruce, cedar METALS Ferrous contain iron — usually rust mild steel, cast iron Non-ferrous no iron — do not rust aluminium, copper, brass POLYMERS Thermoplastic softens on heating, reshapable PET, acrylic, polypropylene Thermoset sets once, then burns not melts epoxy, melamine, Bakelite TEXTILES & COMPOSITES Fibres natural: cotton, wool synthetic: nylon, polyester Composites two materials combined fibreglass, carbon fibre, concrete Each box names one family; the two labelled groups inside it are that family's main division. Watch the traps: hardwood/softwood is botanical, not a hardness test — balsa is a hardwood and is softer than pine.
Figure 2.1 — the four familiesLearn the split inside each box and you can place almost any material. Three of the four splits are about what the material is made of; only the polymer split is about how it behaves when heated — and that behaviour is what decides whether it can be recycled by melting.

2.2Timbers

  • Hardwood vs softwood is botanical, not a hardness test. Hardwoods come from broad-leaved trees that lose their leaves or flower; softwoods come from cone-bearing conifers. Balsa is a hardwood — and it is the softest timber in the workshop. Douglas fir is a softwood harder than several hardwoods.
  • As a rough tendency hardwoods are denser, slower-growing and dearer; softwoods grow fast and are the cheap structural timber of house framing. Tendency, not rule.
  • Timber is anisotropic: much stronger along the grain than across it. Split a plank along the grain and it parts easily; across the grain it fights you.
  • Manufactured boards fix timber's weaknesses: plywood glues thin veneers with the grain crossed layer to layer, giving even strength and no splitting; MDF and chipboard are wood fibres or chips bonded with resin — cheap, perfectly flat, but weak at edges and ruined by water.

2.3Metals

  • Ferrous metals contain iron: mild steel, cast iron. They are strong and cheap, and they rust unless painted, galvanised or alloyed. A magnet sticks to them — the workshop's quickest test.
  • Non-ferrous metals contain no iron: aluminium, copper, zinc, lead, tin. They do not rust, and are usually lighter or better conductors — and usually dearer.
  • An alloy is a metal mixed with other elements to get properties neither has alone. Steel = iron + a little carbon (harder and stronger than pure iron). Stainless steel = steel + chromium, which forms an invisible protective layer, so it resists corrosion. Brass = copper + zinc: harder than copper and easy to machine. Bronze = copper + tin.
  • Most metals are good conductors of heat and electricity, and most are malleable and ductile — which is why metal can be rolled into sheet, drawn into wire and bent without cracking.

2.4Polymers

  • Thermoplastics soften every time they are heated and can be reshaped again and again: acrylic, PET drink bottles, polypropylene, polythene. This is exactly why they can be recycled by melting.
  • Thermosets set hard once during a chemical reaction and never soften again — heat them enough and they char or burn rather than melt: epoxy resin, melamine, Bakelite, vulcanised rubber. Great for saucepan handles and electrical fittings; very hard to recycle.
  • Polymers in general: light, cheap to mould in huge numbers, excellent electrical and thermal insulators, corrosion-proof — but they soften or weaken with heat, most come from crude oil, and many take centuries to break down.

2.5Textiles and composites

Why a composite beats its own ingredients

A composite combines two materials so that each covers the other's weakness. Fibreglass = glass fibres, superb in tension but floppy alone, set in cured resin, rigid but brittle alone — together, a stiff, strong, light shell. Reinforced concrete = concrete, excellent in compression but feeble in tension, with steel bars laid exactly where the tension is — the pairing that makes modern buildings possible. Carbon fibre does the same trick with carbon fibres and epoxy, giving a stiffness-to-weight ratio no metal matches. In each case the composite outperforms both ingredients, because you get each one's strength and neither one's weakness.

  • Textile fibres divide into natural (cotton, wool, linen, silk) and synthetic (nylon, polyester, acrylic — polymers spun into thread).
  • Natural fibres breathe and absorb moisture; synthetics are stronger for their weight, dry fast, and resist rot — which is why outdoor gear blends them.
Unit 3ProcessesMarking · Cutting · Shaping · Joining

Working with materials

Four stages turn stock material into a part: mark it out, cut it, shape it, join it. Get the first stage wrong and no amount of skill in the other three will save the job.

3.1Marking out

  • Start from a face side and face edge: one flat face and one straight edge, marked, and every measurement taken from those two. Measure from a rough edge and every error is passed on.
  • Use the right marker for the material: a pencil on timber, a scriber that scratches a fine permanent line on metal, a fine marker on plastic film.
  • A try square gives lines truly at 90° to the face edge. A marking gauge scores a line a set distance from the face edge, over and over, identically.
  • The workshop's oldest rule: measure twice, cut once. Cutting is irreversible; measuring is free.

3.2Cutting and shaping

  • Cutting removes material along a line: a tenon saw for fine straight cuts in timber, a coping saw for curves, a hacksaw's fine hard teeth for metal, tin snips for sheet.
  • Shaping removes material to a form: chisels and planes pare timber; files and rasps work metal and edges; abrasive paper finishes.
  • Some shaping moves material instead of removing it: bending sheet metal, hammering it (forming), or heating a thermoplastic in a strip heater and folding it while soft.
  • Safety is part of the process, not an add-on: eye protection whenever material flies, the work clamped so both hands are free, cuts made away from the body, and long hair and loose sleeves secured near any machine.

3.3The three ways to join

MECHANICAL screws, bolts, nails, rivets, stitching, timber joints Can be taken apart (bolts and screws, at least) joins unlike materials easily ADHESIVE PVA on timber, epoxy on most, solvent cement on acrylic Permanent, no holes drilled spreads load over the whole area weak if peeled; needs clamping time HEAT welding, brazing, soldering, plastic welding Permanent and very strong metals and thermoplastics only welding melts the parts themselves Choose by three questions: what materials? how big is the load? does it ever need to come apart? A thermoset cannot be heat-joined at all — it will not melt — so bolt it or glue it.
Figure 3.1 — the three joining methodsMechanical joins hold parts with a separate fastener or an interlocking shape — often removable, and happy joining unlike materials. Adhesive joins bond the surfaces, spreading load beautifully in shear but tearing easily when peeled. Heat joins fuse the material itself — the strongest option, but only for metals and thermoplastics.
  • Match the join to the material: welding fuses steel; soldering joins copper pipe and electronics with a lower-melting-point filler; solvent cement welds acrylic chemically; PVA glues timber to timber — and a good PVA joint in timber is stronger than the wood beside it.
  • Match the join to the load: adhesives are strong in shear (surfaces sliding) and weak in peel. Bolts handle heavy, changing loads and can be re-tightened; nails and glue alone are for light static loads.
  • Match the join to the future: a chair frame you may need to repair should be bolted or joined with knock-down fittings; a laminated bench top is glued for life.
  • Traditional timber joints — butt, lap, housing, mortise and tenon, dovetail — are mechanical joins made from the shape of the wood itself, usually glued as well. A butt joint is the weakest and fastest; a dovetail resists being pulled apart and is the slowest.
Unit 4SelectionCriteria · Cost · Sustainability

Choosing well, and being able to say why

"Because it looks good" is not a material selection. A defensible choice names the properties the job needs, tests candidates against them, and admits what it traded away.

4.1Selection criteria

  • Functional: which properties does the job actually demand — strength in which direction, hardness, toughness, weight, conductivity, water resistance?
  • Aesthetic: colour, grain, texture, finish, and whether it will still look right in five years.
  • Economic: the price of the material, plus what it costs to work — a cheap material needing expensive tooling may lose to a dearer one you can cut in the workshop.
  • Availability: can you buy it locally, in the size you need, in the time you have?
  • Environmental: where it came from, how much energy it took, and what happens at the end of its life.
  • Safety: does it splinter, shatter, give off fumes when heated, or need protective gear to work?

4.2Sustainability, embodied energy and recycling

  • Embodied energy is the total energy used to extract, process, transport and make a material. Aluminium's is famously high — smelting it from ore takes enormous electricity — while recycled aluminium takes roughly a twentieth of that, which is why the drink-can loop is worth running.
  • Timber from certified regrowth forests is the standout renewable structural material: it grows back, and the growing tree stores carbon while it does.
  • Thermoplastics recycle by melting; thermosets do not. That single property difference decides a product's whole end-of-life story.
  • Design choices that help: fewer different materials in one product, joins that come apart (bolts, not glue), and parts labelled so they can be sorted.
  • Think in the order reduce, reuse, recycle — recycling is the last resort of the three, not the first answer.

4.3A worked selection: an outdoor park bench seat

The brief: slats for a public bench, outdoors year-round, sat on daily, must last ten years with minimal maintenance and survive the occasional skateboard.

CandidateStrength & toughnessDurability outdoorsCost & workabilityVerdict
Pine (softwood)Adequate in bendingRots and insect-attacks unless treatedCheap, easy to cutRejected — fails the ten-year test
Hardwood (jarrah)Strong and toughNaturally durable, weathers greyly but soundlyDearer; harder to cut but workshop-friendlyChosen
Mild steelVery strongRusts unless galvanised or paintedCheap, but needs welding gearRejected — upkeep, and burning hot in summer sun
Recycled plastic lumberAdequate; sags over long spansExcellent — unaffected by rainDear; cuts like timberClose second — best on sustainability
Writing the justification — the marks are here

Name the property, tie it to the need, then admit the trade-off. "Jarrah was chosen because it is naturally durable outdoors and tough enough to take impacts, so the bench meets the ten-year requirement without annual painting. It costs more than pine and is harder to cut, and I accepted that extra cost because replacing rotted pine slats twice over ten years would cost more in the long run." Property → need → trade-off. Every time.

Start hereYear 10 ElectivePreparatory Design

The year that turns design into a discipline.

This course prepares you for QCAA Design (General) in Years 11–12. Four units: the formal designing process, the toolkit for opening ideas up, the toolkit for narrowing them down with evidence, and how designers communicate a decision to an audience.

The mapFour units

  1. The designer's process, formalised — explore, develop, resolve; stakeholders; needs, wants and constraints; measurable design criteria.
  2. Divergent toolkit — brainstorming rules, forced association, biomimicry, and sketching conventions that carry meaning.
  3. Convergent toolkit — weighted evaluation matrices, user testing, and writing a justification.
  4. Communicating design — presentation versus technical drawings, storyboards and user journeys, and the pitch.
What senior Design actually rewards

Not the object — the reasoning. Senior Design assessment asks you to explore a need, develop ideas, and resolve a design solution, then justify it against criteria you wrote yourself, with evidence from testing. This year builds exactly those habits.

Unit 1Design processExplore · Develop · Resolve

The designer's process, formalised

In senior Design the process has names, and the names matter: markers look for evidence that you explored, then developed, then resolved — in that order, with the work to prove it.

1.1Explore, develop, resolve

EXPLORE the need, the users, the constraints, the criteria DEVELOP generate ideas, test them, refine the strongest RESOLVE finalise the solution and communicate it with reasons brief agreed concept chosen feedback loop — testing can send you back if development shows the need was misunderstood, explore again
Figure 1.1 — explore, develop, resolveThe phases run left to right, but the process is not a one-way street: when testing during develop shows you misread the need, you return to explore and rewrite the brief. Showing that loop in a folio is evidence of a designer thinking, not a student decorating.

1.2Stakeholders: everyone the design touches

  • A stakeholder is anyone affected by the design — not only the person who buys it.
  • For a school canteen redesign the stakeholders include: students (the users), canteen staff (who must work in it), the school (which pays and owns the risk), suppliers, and the cleaners who deal with what the design leaves behind.
  • Stakeholders conflict, and that is the point: students want more choice, staff want fewer items to prepare, the school wants a lower cost. A design decision usually trades one stakeholder's want against another's.
  • Name your stakeholders early, because criteria that ignore one of them get punished at testing.

1.3Needs, wants and constraints

TermTest to tell them apartCanteen example
NeedRemove it and the design fails its purposeFood must be served hygienically
WantRemove it and the design still works, just less wellThe queue area should look modern
ConstraintA limit imposed from outside that you cannot design awayA $4,000 budget; the existing 6 m serving wall

1.4Writing a design criterion that is measurable

A design criterion is a statement the finished design can be tested against. Three parts make it work: what is measured, how it is measured, and the target.

Weak criterionWhy it failsRewritten, measurable
The queue should be quickNo number, no methodA student is served within 4 minutes of joining the queue, timed at peak lunch
It should be durableDurable against what?The lid survives 200 open–close cycles with no visible cracking
Users should like it"Like" is not observableAt least 8 of 10 student testers rate it 4 or 5 out of 5 for ease of use
The criterion test

Read your criterion and ask: "What experiment would prove this true or false?" If you cannot describe the test in one sentence, the criterion is not measurable yet — and it cannot be used to evaluate your solution later.

Unit 2Divergent toolkitGenerate · Sketch · Annotate

Divergent toolkit

Ideas are not luck. There are techniques that reliably produce more and stranger options, and drawing conventions that let those options be understood by someone who isn't inside your head.

2.1Brainstorming has rules

  1. Defer judgement. No criticism during the session — not even "yeah, but". Judging happens later, in the convergent phase.
  2. Go for quantity. Set a target (say 40 ideas in 20 minutes). Volume forces you past the obvious first five.
  3. Welcome wild ideas. An impossible idea is often a usable idea in disguise; it is easier to tame a wild idea than to energise a dull one.
  4. Build on others' ideas. "Yes, and…" — combining half-ideas is where the good ones usually come from.
  5. One conversation, and make it visual. Everything gets written or sketched where the group can see it, so nothing is lost or repeated.

2.2Forced association and biomimicry

  • Forced association jams your problem against an unrelated word and makes you find a connection. Problem: a bike lock. Random word: umbrella. Umbrellas fold small and expand large → a lock that collapses to pocket size and expands around the frame. The random word is a crowbar for prising your brain off the obvious.
  • Biomimicry borrows solutions that evolution already tested. Velcro came from burdock burrs hooking into dog fur. The Shinkansen bullet train's long nose was reshaped after the kingfisher's beak, which enters water with almost no splash — it cut the tunnel boom and the energy use.
  • Ask of any problem: what living thing already solves this? Sticking, cooling, carrying loads, staying dry, being seen — nature has prior art for all of them.

2.3Sketching conventions: line hierarchy and annotation

THICK line — the object's outside edge THIN line — an edge inside the outline THICK line — the ground the object stands on Annotation — a decision and its reason it separates the object from the page it shows the shape's internal detail a thick base line makes the object sit, not float "divider is removable so the box suits two sizes"
Figure 2.1 — line hierarchy in a design sketchThickness carries meaning: the outline (silhouette) and the ground line are drawn thick; edges inside the object are thin. The eye then reads the form instantly, before reading a single word. And every design sketch needs annotation — a note giving a decision and its reason, not just naming the part.
  • Sketch in pen, not pencil with an eraser. Rejected lines are evidence of thinking; erasing them destroys the record a folio is marked on.
  • Draw many small sketches rather than one big one — a page of twelve thumbnails shows range; one careful drawing shows only commitment to your first idea.
  • Annotation is the difference between a picture and a design document. "Handle" is a label. "Handle offset 15 mm so the lid clears the bench when open" is an annotation.
Unit 3Convergent toolkitWeight · Test · Justify

Convergent toolkit

Choosing is the hardest part, because "I prefer this one" is not a reason. Weighting turns a preference into an argument, and testing turns the argument into evidence.

3.1The weighted evaluation matrix

A plain matrix treats every criterion as equally important — which is almost never true. A weighted matrix gives each criterion a weight showing how much it matters, then multiplies. Here is one worked in full for three lunchbox concepts, each criterion scored out of 5:

CriterionWeightA — stacking tiersB — single deep tubC — slim tray
Keeps food separate and intact (function)54 → 205 → 253 → 15
Survives a school year (durability)43 → 124 → 165 → 20
Within the $18 unit cost (cost)35 → 152 → 64 → 12
Appeals to Year 7 buyers (appearance)23 → 64 → 82 → 4
Unweighted total (raw scores added)151514
Weighted total (out of 70)14535551
Read the arithmetic, then read the lesson

Each cell is score × weight. Concept B: (5×5) + (4×4) + (2×3) + (4×2) = 25 + 16 + 6 + 8 = 55. Concept A: 20 + 12 + 15 + 6 = 53. Concept C: 15 + 20 + 12 + 4 = 51. The maximum possible is 5 × (5+4+3+2) = 5 × 14 = 70.

Now the lesson: A and B tie at 15 on raw scores. Weighting breaks the tie and reverses nothing dishonestly — it simply says that keeping food intact matters more than the price tag, and B is better at the thing that matters most. B wins, 55 to 53.

Two rules that keep a matrix honest

1. Set the weights before you score. Weights chosen after you have a favourite are just your preference in a costume — and a marker can spot it.

2. Weights come from the stakeholders and the brief, and you must say where each one came from: function is weighted 5 here because the brief's primary need was food arriving intact.

3.2User testing that produces evidence

  • Test against a criterion, not in general. The criterion says a student is served in under 4 minutes — so you time students, and the result is a number.
  • Give a real task, watch silently, and record what happened: time taken, errors, hesitations, and unprompted comments.
  • Use enough testers that one odd result cannot decide anything — five to ten for a class project, and report how many.
  • Report failures. A test where everything worked usually means the test was too easy, and markers know it.

3.3Justifying a decision in writing

A justification is not a description. Four moves, in this order:

  1. State the decision. "Concept B, the single deep tub, was selected."
  2. Give the evidence. "It scored 55 of 70 in the weighted matrix, ahead of A (53) and C (51), and 9 of 10 testers packed a full lunch into it without items mixing."
  3. Link to the criteria and stakeholders. "It leads on the highest-weighted criterion, keeping food intact — the primary need identified by student stakeholders."
  4. Acknowledge the trade-off. "B is the most expensive of the three at $19, $1 over the target, so the next iteration reduces wall thickness to bring the cost down."
The word that marks the difference

Description says what. Justification says why, because of evidence. If your paragraph contains no number, no criterion and no "because", it is a description — and it will be marked as one.

Unit 4CommunicationDraw · Storyboard · Pitch

Communicating design

A design nobody understands is a design nobody chooses. The last skill is translation: the same idea drawn one way to sell it, another way to build it, and spoken a third way to win the room.

4.1Presentation drawings vs technical drawings

 Presentation drawingTechnical drawing
Its jobTo make the audience understand and want itTo let someone build it exactly
AudienceClient, stakeholders, the publicManufacturer, workshop, CNC operator
Looks likeRendered pictorial view, colour, shadow, context, a person using itOrthographic views, dimensions, scale, standard line types
Answers"What is it and why is it good?""How big, how many, made of what?"
FollowsGraphic-design judgementA standard — in Australia, AS 1100

They are not rivals: a folio needs both. A rendered view that carries no dimensions cannot be manufactured, and a dimensioned orthographic drawing will not persuade a client of anything.

4.2Storyboards and user journeys

  • A storyboard is a sequence of frames showing a person using the design over time — like a comic strip. It communicates something a single product photo cannot: when and how the design is used.
  • A user journey maps the whole experience step by step — before, during and after — and marks the pain points. For a canteen: leaving class → joining the queue → choosing → paying → finding a seat → returning waste. The pain point is often nowhere near the product you were designing.
  • Both are diagnostic, not decorative: they routinely reveal a step nobody had designed for at all.

4.3The pitch: audience, message, evidence

  1. Audience. Who is in the room, and what do they care about? A principal hears cost, safety and timetable; a student hears speed and choice. Same design, different opening sentence.
  2. Message. One sentence they should repeat afterwards. "This cuts the lunch queue from nine minutes to under four." If you cannot compress it to one line, you do not yet know what you are proposing.
  3. Evidence. Every claim needs its proof visible: the test result, the matrix score, the user quote. "Users loved it" is worthless; "9 of 10 testers packed a full lunch with no mixing" is not.
  4. Show the design, not the slides. Lead with the drawing or the prototype; the words exist to explain it.
  5. Own the trade-off. Name the weakness before the audience finds it, and say what the next iteration does about it. That reads as confidence, not weakness.
The one-line test

Before any pitch, write your message as a single sentence containing a number. If the sentence has no number in it, you are pitching a feeling, and feelings are the first thing an audience forgets.

Start hereYear 10 ElectivePreparatory Digital Solutions

The year that makes Senior easy.

Four units built to land you in QCAA Digital Solutions (General) already fluent: thinking the way the exam asks, programming past the beginner ceiling, real databases with real SQL, and evaluating a solution against criteria instead of vibes.

The mapFour units

  1. Thinking like the exam — decomposition, abstraction, pseudocode written the QCAA way, and trace tables at speed.
  2. Programming deeper — AND/OR/NOT, nested loops, strings, arrays of records, and reading someone else's code.
  3. Data & databases — entities, attributes, primary keys, one-to-many relationships and SQL.
  4. User experience & evaluation — usability, prototypes, evaluation criteria, and privacy law in plain English.
What Senior Digital Solutions will ask of you

The subject runs on four skills: generating a solution from a problem, evaluating it against criteria, and doing both through algorithms and data. Exam questions are rarely "define" — they are "trace this", "find the fault", "write the query", "justify this choice". This year builds exactly those four muscles.

Unit 1AlgorithmsDecompose · Abstract · Trace

Thinking like the exam

Senior questions don't reward knowing what an algorithm is. They reward breaking a messy problem into parts, ignoring what doesn't matter, and proving what code does — line by line, under time pressure.

1.1Decomposition and abstraction

  • Decomposition is breaking a big problem into smaller sub-problems you can solve one at a time. "Build a canteen ordering app" is unanswerable; "log a student in", "show today's menu", "take an order", "total the price", "send it to the kitchen" are five jobs you can each write.
  • Abstraction is deciding what to ignore. A train map abstracts away every curve and distance because the traveller only needs the order of stops. In code, a Student record keeps name, ID and year level — not eye colour — because the problem doesn't need it.
  • They pull in opposite directions and that is the point: decomposition adds detail by splitting, abstraction removes detail by ignoring. Do both and you get parts that are small and simple.
Canteen ordering app Log thestudent in Show today'smenu Take anorder Total andsend it Choose items Set quantities Check stock DECOMPOSITION — split until each box is one job you could code Each arrow means “is made of”. ABSTRACTION — a Student, for this app KEPT — needed here: StudentID Name Year level Account balance IGNORED — not needed: Eye colour Home address Favourite subject Shoe size Abstraction is not forgetting — it is deciding, on purpose, that these details cannot change what the solution does. A different app would keep different fields.
Figure 1.1 — decomposition and abstraction, side by sideLeft: the problem splits downward until every box is one codeable job — each arrow reads "is made of". Right: for this app a Student is only four fields; everything else is deliberately ignored. Decomposition tells you what parts to build; abstraction tells you what detail each part may forget.

1.2Pseudocode, written the way it is marked

Pseudocode is language-neutral but not freestyle. Markers look for consistent, readable structure — use these conventions all year:

PurposeWrite it like thisNote
Store a valuetotal ← 0← reads "becomes". Never use = for storing.
Compare valuesIF total = 0 THEN= only ever asks a question.
Input / outputINPUT mark  ·  PRINT totalKeywords in capitals.
SelectionIF … THEN … ELSE … END IFAlways close the block.
Counted loopFOR i FROM 1 TO 10 … END FORBoth ends included: 10 passes.
Conditional loopWHILE count > 0 … END WHILESomething inside must change count.
ModulesFUNCTION name(params) … RETURN … END FUNCTIONOne job per function.
Remaindern MOD 2MOD gives the remainder: 7 MOD 2 = 1.
Indentation is worth marks

Indent everything inside an IF, a loop or a function by one level, and close every block you open. A marker who can see the structure at a glance can award structure marks; a wall of unindented lines forces them to hunt, and hunting costs you.

1.3Trace tables under pressure

The exam gives you code you have never seen and asks what it outputs. The method never changes — and doing it in your head is how people lose marks. Draw the table.

  1. One column per variable, plus a column for the condition and one for output.
  2. Write the starting values on row one, before the loop.
  3. One row per pass. Never erase — add a row, so the history stays visible and a slip is findable.
  4. Update in the exact order the lines run. A line that uses a variable it just changed is where most errors happen.
  5. Record the condition's true/false each pass: that column proves why the loop stopped.
PassCode: n ← 9, then WHILE n > 1 { IF n MOD 2 = 0 THEN n ← n ÷ 2 ELSE n ← n − 1, steps ← steps + 1 }nstepsn > 1
startn ← 9, steps ← 090
19 is odd → n ← n − 1819 > 1 true
28 is even → n ← n ÷ 2428 > 1 true
34 is even → n ← n ÷ 2234 > 1 true
42 is even → n ← n ÷ 2142 > 1 true
endloop test fails, PRINT steps141 > 1 false
Unit 2ProgrammingLogic · Nested loops · Strings

Programming deeper

Beyond one condition and one loop lies everything real programs are made of: combined logic, loops inside loops, text handled properly, and structured data held in memory. Half the marks are for reading such code, not writing it.

2.1Compound conditions: AND, OR, NOT

ABA AND BA OR BNOT A
truetruetruetruefalse
truefalsefalsetruefalse
falsetruefalsetruetrue
falsefalsefalsefalsetrue
  • AND is strict: every part must be true. IF age >= 13 AND age <= 19 THEN is how you test a range — and both comparisons must name the variable. 13 <= age <= 19 is maths, not code.
  • OR is generous: one true part is enough. IF day = "Saturday" OR day = "Sunday" THEN. Writing day = "Saturday" OR "Sunday" is the classic error — the right side of an OR must be a whole condition.
  • NOT flips a condition. IF NOT (stock > 0) THEN means the same as IF stock <= 0 THEN — and the second is easier to read, so prefer it.
  • Bracket anything mixed: IF (a AND b) OR c THEN is not the same as IF a AND (b OR c) THEN. Brackets cost nothing and settle the argument.

2.2Nested loops

A loop inside a loop. The inner loop completes fully on every single pass of the outer one — so the body runs outer × inner times.

CodeOuter iInner j runsBody runs
FOR i FROM 1 TO 3
  FOR j FROM 1 TO 4
    PRINT i × j
  END FOR
END FOR
1j = 1, 2, 3, 44 times
2j = 1, 2, 3, 44 times
3j = 1, 2, 3, 44 times
Total3 × 4 = 12 times

Nested loops are how you walk a grid: the outer loop picks the row, the inner one walks its columns. They are also how a fast program becomes a slow one — double the data and a nested loop does four times the work.

2.3Strings

Text is a sequence of characters, indexed from 0 — the same rule as arrays, all year:

OperationExample with name ← "DIGITAL"Result
LENGTH(text)LENGTH(name)7 — D I G I T A L
Index a charactername[0]"D" — the first, because counting starts at 0
Last charactername[LENGTH(name) − 1] → name[6]"L"
UPPERCASE / LOWERCASELOWERCASE(name)"digital"
Join (concatenate)"Hello " + "world""Hello world" — the space must be there on purpose
The comparison trap

"Smith" and "smith" are different strings. Before comparing user input, convert both sides with LOWERCASE — otherwise a correct login is rejected for a capital letter. Also: the number 7 and the text "7" are different things; adding them either fails or joins them, never adds.

2.4Arrays of records

Real data is a list of things, each with several fields. That is an array of records — and looping through it is the single most common pattern you will write.

Index.name.mark
students[0]"Ali"62
students[1]"Bea"81
students[2]"Cam"74
LinePseudocode — count the marks of 70 or moreTrace
1passes ← 0passes = 0
2FOR EACH s IN studentss is one whole record each pass
3  IF s.mark >= 70 THEN62 no · 81 yes · 74 yes
4    passes ← passes + 1passes = 1, then 2
5  END IF
6END FOR
7PRINT passesprints 2

2.5Reading code you didn't write

  1. Read the variable names first — they usually announce the purpose before you understand a line.
  2. Find the loops and ask what each one repeats over, and what stops it.
  3. Run one small example through by hand. Three items beats thirty.
  4. Watch the boundaries: the first item, the last item, an empty list, and zero.
  5. Then and only then say what the code does — in one sentence, about its purpose, not its lines. "It counts marks of 70 or more" earns the mark; "it loops and adds one" does not.
Unit 3DataEntities · Keys · SQL

Data & databases

A relational database stores each fact once and links the rest. Learn entities, keys and four SQL words this year and Senior's database unit becomes revision.

3.1Entities, attributes, keys

  • An entity is a kind of thing the database stores — Student, House, Book, Loan. Each entity becomes one table.
  • An attribute is one property of that entity — FirstName, YearLevel. Each attribute becomes one column. One actual student is one row.
  • A primary key is the attribute that identifies each row uniquely: StudentID. It can never be blank and never repeat. Names fail this — two students really can be called Sarah Chen.
  • A foreign key is an attribute holding another table's primary key. It is the actual link between the tables.

3.2One-to-many

HOUSE HouseID HouseName ← PRIMARY KEY (underlined) One row per house: 1 Gilmore · 2 Lawson · 3 Paterson STUDENT StudentID ← PRIMARY KEY FirstName LastName YearLevel HouseID ← FOREIGN KEY — the link ONE–TO–MANY one HOUSE has many STUDENTs; each STUDENT is in exactly one HOUSE 1 many The single line at the HOUSE end and the three-way split at the STUDENT end show the “one” and the “many” sides. HouseName is stored ONCE in HOUSE, never copied into STUDENT — rename a house and every student is instantly correct.
Figure 3.1 — a one-to-many relationshipThe foreign key always lives on the many side: each Student row carries the HouseID of its one house. That is why the house's name is stored once in HOUSE and never duplicated — the fix for exactly the repeated-data problem a single flat table creates.

3.3SQL: asking the database

SQL is how you question a relational database. Four clauses cover almost everything at this level, and they must appear in this order:

ClauseMeansExample
SELECTwhich columns to show (* means all)SELECT FirstName, LastName
FROMwhich table to readFROM Student
WHEREkeep only rows meeting a conditionWHERE YearLevel = 10
ORDER BYsort the results: ASC (default) or DESCORDER BY LastName ASC
QueryWhat it returns
SELECT * FROM Student;Every column of every student.
SELECT FirstName, LastName FROM Student WHERE YearLevel = 10;Just the two name columns, for Year 10 students only.
SELECT FirstName, LastName FROM Student ORDER BY LastName ASC;All students, sorted A–Z by surname.
SELECT * FROM Student WHERE YearLevel >= 9 AND HouseID = 2;Students in Year 9 or above who are also in house 2.
SELECT * FROM Student WHERE LastName = 'Nguyen';Students surnamed Nguyen. Text values go in single quotes; numbers do not.
SELECT HouseName FROM House WHERE HouseID = 3;One value: the name of house 3.
Four rules that stop the usual errors

1. The clause order SELECT → FROM → WHERE → ORDER BY is fixed; swapping them is a syntax error. 2. Text in single quotes, numbers bare: = 'Nguyen' but = 10. 3. In SQL, = compares — there is no ← here, because a query never stores anything. 4. A query reads; it never changes the stored data, so no query can ever lose you data.

Unit 4Digital solutionsUsability · Prototypes · Privacy

User experience & evaluation

Senior marks are not awarded for "it works". They are awarded for a solution justified against criteria — and for knowing what the law says about the personal data you just collected.

4.1Usability principles

  1. Learnability — can a first-time user achieve the main task without being taught?
  2. Efficiency — once learnt, how few steps does the common task take? Count the taps; the count is the evidence.
  3. Memorability — can someone returning after a month still use it without relearning?
  4. Error tolerance — are mistakes hard to make, clearly explained when made, and always undoable?
  5. Satisfaction — does using it feel pleasant rather than like a fight?
  6. Accessibility — can people with disability use it: contrast, alt text, keyboard access, adequate target sizes?

4.2Prototyping

Low-fidelity prototypeHigh-fidelity prototype
Looks likePaper sketches, wireframesClickable screens that look like the real app
CostsMinutesHours or days
Best for testingLayout, priority, whether the idea makes sense at allDetailed interaction, flow, visual design
RiskToo rough for users to judge the experienceLooks finished, so testers hesitate to criticise it — and you hesitate to throw it away

Prototype before building, cheaply and more than once. The whole point is that changing a sketch costs minutes and changing shipped code costs weeks.

4.3Evaluation criteria

An evaluation is only worth marks if it measures the solution against criteria agreed in advance. A criterion is useless unless it can be answered yes or no with evidence:

Weak criterionWhy it failsUsable criterion
"The app is easy to use"Nobody can prove it either way"A first-time user places an order in under 60 seconds without help"
"It looks good"Pure opinion"All text meets the contrast guideline and every image has alt text"
"It is fast"Compared with what?"Search results appear within 2 seconds on the school Wi-Fi"
"It handles errors"Which errors, handled how?"Entering a blank name shows a message naming the field, and no data is lost"
How to write the evaluation paragraph

State the criterion, give the evidence from testing, judge whether it was met, then say what you would change and why. "Criterion 2 was not met: two of three testers took over 90 seconds because the Order button sat below the fold. Moving it above the results would fix this." That is a full-mark evaluation — criterion, evidence, judgement, improvement.

4.4Personal data and privacy

  • Personal information is any information that identifies someone, or could when combined with other data — name, email, photo, phone, location history, even a device ID.
  • Australia's Australian Privacy Principles (APPs), under the Privacy Act 1988, set the rules for organisations handling it. The ideas you must be able to apply:
  • Collect only what you need for a stated purpose. An ordering app has no business asking for a date of birth.
  • Be open about it: say what you collect and why, in a privacy policy a human can actually read.
  • Use it only for that purpose, unless the person agrees to another.
  • Keep it secure, and destroy or de-identify it when it is no longer needed.
  • Let people see and correct their own information.
  • Design consequence: every extra field you collect is data you must now protect and could one day leak. The safest personal data is the data you never collected.
Start hereYear 10 ElectivePreparatory Engineering

The year that makes senior Engineering easy.

Four units: forces in balance, the structures that carry them, the materials that resist them, and the method engineers use to decide anything — the groundwork for QCAA Engineering (General) in Years 11 and 12.

The mapFour units

  1. Statics — force as a vector, mass vs weight, equilibrium, and free-body diagrams.
  2. Structures — beams, columns and trusses, and the factor of safety that keeps them standing.
  3. Engineering materials — stress, stiffness vs strength, ductile vs brittle failure, and why steel is alloyed.
  4. The engineering method — the loop from problem to tested solution, and where the maths actually sits.
What senior Engineering expects you to already do

Three habits, drilled here until they are automatic: draw the free-body diagram before you calculate anything; carry the units through every line (N, mm², MPa); and state the assumption you made. Senior Engineering marks all three, and students who arrive without them lose marks on problems they actually understood.

Unit 1StaticsVectors · W = mg · Equilibrium

Statics: everything in balance

Statics is the study of things that are not accelerating — bridges, buildings, a book on a table. The whole subject rests on one sentence: if it isn't moving, the forces on it add to zero.

1.1Force is a vector

  • A force is a push or pull, measured in newtons (N). It is a vector: it has a size and a direction, and "300 N" without a direction is an incomplete answer.
  • Forces along the same line add and subtract with sign. Two people pushing a crate right with 200 N and 150 N give 350 N right. If one pushes 200 N right and the other 150 N left, the resultant is 50 N right.
  • The resultant is the single force that would have the same effect as all the forces together. Statics is largely the art of proving the resultant is zero.
  • On a diagram, an arrow shows a force: its length suggests the size, its head shows the direction, and its tail sits at the point where the force acts.

1.2Mass is not weight

W = mg, and why the distinction is marked

Mass is how much matter something contains, measured in kilograms. It does not change if you take the object to the Moon. Weight is the force gravity exerts on that mass, measured in newtons, and it does change — the same object weighs about a sixth as much on the Moon.

W = mg, with g = 9.8 N/kg on Earth. So a 10 kg toolbox has a weight of 10 × 9.8 = 98 N. A 50 kg student weighs 50 × 9.8 = 490 N. Writing "the load is 10 kg" in a force calculation is the single most common error in junior statics: convert to newtons first, every time.

1.3Equilibrium and free-body diagrams

An object is in equilibrium when it is at rest (or moving at constant velocity) and the forces on it sum to zero: ΣF = 0. Vertically, up must equal down; horizontally, left must equal right. To use that, you draw a free-body diagram: the object alone, stripped of its surroundings, with every force acting on it drawn as a labelled arrow.

CRATE ON THE GROUND — mass 10 kg the crate the ground Weight W = mg = 10 × 9.8 = 98 N, acting down Normal reaction R = 98 N, the ground pushing up ΣF = 98 N up − 98 N down = 0 → equilibrium LAMP ON A ROPE — mass 20 kg ceiling the rope the lamp Weight W = 20 × 9.8 = 196 N, down Rope tension T = 196 N ΣF = 0, so T equals W exactly Red arrow = weight · green arrow = the supporting force In a free-body diagram the support is deleted and replaced by the force it applies to the object.
Figure 1.1 — two free-body diagramsIn each case the object is drawn alone and every force on it is labelled with its size, direction and cause. The support is deleted and replaced by the force it applies — the ground's normal reaction, the rope's tension. Because both objects are at rest, ΣF = 0, so the supporting force must exactly equal the weight: 98 N and 196 N. Draw this diagram before touching a calculator and most statics problems solve themselves.
  • A symmetrical beam on two supports splits its load evenly. A 400 N plank load carried by two end supports gives 200 N at each — a result you will use constantly in Unit 2.
  • Worked check: a 100 kg engine hangs from one chain. W = 100 × 9.8 = 980 N, so the chain tension is 980 N. Hang it from two vertical chains sharing equally and each carries 490 N.
Unit 2StructuresBeams · Columns · Trusses · FoS

Structures: beams, columns and trusses

Three members do nearly all the work in the built world. Learn what each carries, learn to spot which members of a truss are pulled and which are squashed, and learn the number that decides how much margin you keep.

2.1The three structural members

  • A beam is loaded across its length and works in bending: its lower face stretches (tension) while its upper face squashes (compression). That is why an I-beam puts most of its steel in the top and bottom flanges — that is where the stress lives.
  • A column is loaded along its length and works in compression. A long slender column fails by buckling — bowing sideways — long before the material is crushed, which is why columns are made fat, tubular or braced rather than merely thick.
  • A truss is a frame of triangles whose members are (ideally) in pure tension or pure compression, with no bending at all. That is what makes trusses so efficient: material carrying only pull or push does far more work per kilogram than material being bent.
  • Members are named by their job: a member in tension is a tie; a member in compression is a strut.

2.2Reading a truss

Load = 1000 N down at the apex Left support reaction = 500 N up Right support reaction = 500 N up Left rafter — a STRUT in COMPRESSION (solid line) Right rafter — a STRUT in COMPRESSION (solid line) Bottom tie — a TIE, in TENSION (dashed line) KEY — solid = compression (strut) KEY — dashed = tension (tie) red arrow = applied load green arrow = support reaction
Figure 2.1 — a loaded roof trussThe load pushes down on the apex, so the two rafters are squeezed along their length — struts in compression. That squeeze tries to spread the feet apart, and the bottom member stops it by being pulled — a tie in tension. Because the load sits centrally and the truss is symmetrical, each support carries half: 1000 ÷ 2 = 500 N. Check it against ΣF = 0 — 500 + 500 up against 1000 down.

2.3Factor of safety

Factor of safety = failure load ÷ working load

No engineer designs a part to carry exactly what it will be asked to carry. The factor of safety is the margin between them:

FoS = failure load ÷ working load

A lift cable that breaks at 12 000 N and is only ever asked to carry 3 000 N has FoS = 12 000 ÷ 3 000 = 4. A bracket that fails at 45 000 N under a working load of 9 000 N has FoS = 45 000 ÷ 9 000 = 5.

Rearranged, it tells you what you are allowed to load: a beam failing at 40 000 N designed to a factor of safety of 5 has a working load of 40 000 ÷ 5 = 8 000 N. Or what strength you must buy: a working load of 2 500 N at FoS 4 needs a part that fails no lower than 2 500 × 4 = 10 000 N.

The factor covers what you cannot know exactly: material flaws, corrosion and wear, overloading by users, and errors in your own assumptions. Higher stakes buy a higher factor — a garden shelf might use 2, a lift or a crane hook far more.

Unit 3Engineering materialsStress · Stiffness · Failure

Engineering materials: stress, stiffness and failure

"Will it hold?" is not a question about force alone — it is a question about force spread over area. That is stress, and it is the number that lets you compare a thin wire with a thick beam on equal terms.

3.1Stress = force ÷ area

The formula, and the units that come with it

Stress = force ÷ cross-sectional area, written σ = F / A.

Use newtons (N) for force and square millimetres (mm²) for area, and the answer comes out in N/mm² — which is exactly the same unit as the megapascal (MPa). 1 N/mm² = 1 MPa. Getting that identity straight saves you constantly in senior Engineering.

Worked example 1. A steel rod of cross-section 25 mm² carries 5 000 N. σ = 5 000 ÷ 25 = 200 N/mm² = 200 MPa.

Worked example 2. A bar 20 mm wide and 5 mm thick has area 20 × 5 = 100 mm². Carrying 45 000 N: σ = 45 000 ÷ 100 = 450 MPa. If mild steel yields near 250 MPa, this bar has already failed — the calculation caught it before the workshop did.

Worked example 3. The same 45 000 N through a bar of 300 mm² gives 45 000 ÷ 300 = 150 MPa — comfortably under 250 MPa. Same force, three times the area, a third of the stress. Area is the design variable you control.

  • Because stress divides out the size of the part, it lets you compare materials fairly: a material's strength is quoted as the stress at which it fails, in MPa, not as a force in newtons.
  • Rough figures worth carrying: mild steel yields at about 250 MPa, aluminium alloys around 100–300 MPa, and timber along the grain is in the tens of MPa.
  • The same logic explains snowshoes and stiletto heels: identical weight, wildly different area, wildly different stress on the ground.

3.2Strength is not stiffness

  • Strength is the stress a material can take before it fails. Stiffness is how much it deflects under a load it is comfortably surviving.
  • They are independent. A nylon rope is strong but not stiff — it holds a climber and stretches noticeably doing it. Cast iron is stiff but not especially strong in tension — it barely deflects, then cracks.
  • Which one your design needs depends on the failure you fear. A bookshelf that visibly sags has not broken; it has failed a stiffness requirement, and a stronger timber of the same stiffness would not fix it.
  • A machine tool bed is chosen for stiffness so the cut stays accurate; a lifting chain is chosen for strength.

3.3Ductile and brittle failure

  • A ductile material stretches and visibly deforms before it breaks — mild steel, copper, aluminium. It gives warning: a sagging beam, a necked bolt, a bent bracket. Engineers prize that warning.
  • A brittle material breaks suddenly with almost no deformation — glass, cast iron, concrete in tension, ceramics. No warning, and the failure is often explosive.
  • This is why structural steel is favoured for buildings in earthquake zones: it bends, absorbs energy and announces distress rather than shattering.
  • Brittle materials are not banned — they are used where the load is compressive and predictable, like concrete columns and cast iron machine bases.

3.4Why steel is alloyed

Worth knowing

Pure iron is soft and weak. Steel is iron with a small, controlled amount of carbon — and that trace changes everything: raise the carbon and the steel gets harder and stronger but more brittle; lower it and the steel gets softer, tougher and easier to weld. Mild steel (low carbon) is the everyday structural choice because it is ductile, weldable and cheap. High-carbon steel makes chisels and springs, where hardness matters more than toughness. Add chromium (about 11% or more) and you get stainless steel, which forms a self-repairing oxide layer and resists corrosion. Alloying is how engineers order the properties they want instead of accepting what nature supplies.

Unit 4ProcessSpecify · Analyse · Prototype · Iterate

The engineering method

Engineering is not "have an idea and build it". It is a loop that turns a vague problem into a specification you can test against, and then refuses to stop until the tested thing meets it.

4.1The loop

  1. Define the problem. Who has it, in what situation, and what would count as solved? Vague problems produce unmarkable projects.
  2. Specify. Turn needs into measurable requirements: "supports a 90 kg adult", "under 2.5 kg", "assembles in 10 minutes with one tool". A specification you cannot test is not a specification.
  3. Ideate. Generate several genuinely different concepts before falling in love with one. Sketch fast, cheap and plentifully.
  4. Analyse. Calculate before you cut: free-body diagram, forces, stress, factor of safety, material choice. This is where a bad idea should die — on paper, for free.
  5. Prototype. Build the cheapest thing that answers the question you are still unsure about. A cardboard mock-up that settles the ergonomics is a success, not a rough draft.
  6. Test. Load it, use it, measure it against the specification — the numbers you wrote in step 2, not your feelings about it.
  7. Iterate. Feed the results back and go round again. The loop, not the first idea, is what produces a good design.
  8. Communicate. Drawings, calculations and a justification, in a form somebody else could build from.

4.2Communicating with drawings

  • A sketch explores an idea; a working drawing lets someone else make the part without asking you a single question.
  • Orthographic projection shows the true shape of a part in separate flat views — front, top and side — so every dimension can be read exactly. Isometric or pictorial views show what it looks like as a whole, but distort the true sizes.
  • A working drawing carries dimensions in millimetres, a stated scale, tolerances where fit matters, and a title block naming the part, the material, the drawer and the date.
  • The test of a drawing is simple: hand it to someone who has never seen your project. If they can build the part, it is a working drawing.
Where the maths actually sits

Calculation is not decoration at the end of a project — it is how engineers choose between options and size the thing they chose. Deciding a shelf bracket: work out the load in newtons (W = mg), draw the free-body diagram, find the force in the member, divide by area to get the stress, compare it with the material's strength, and apply a factor of safety. That chain converts "I think it will hold" into "it holds 900 N with a factor of safety of 3". The second sentence is engineering; the first is a hope. In senior Engineering, marks follow the working, so show every line and carry every unit.

Start hereYear 10 electiveTechnologies · Furnishing

Wood, done properly.

Furnishing Skills is a hands-on subject — but the marks come from the theory behind the hands: which control actually removes a hazard, why a board warps, which joint carries the load, and why you cannot skip a sanding grit. Four units of the knowledge a workshop assumes you already have.

The mapFour units

  1. The safe workshop — the hierarchy of controls in order, machine guarding and isolation, and the PPE that comes last.
  2. Timber, properly — hardwood and softwood, seasoning and movement, and the manufactured boards that replaced solid timber for most jobs.
  3. Hand tools & joints — marking out, saws, chisels and planes, and the joint family ranked from weakest to strongest.
  4. Assembly & finishing — glue, screws and nails, the grit sequence, and what each finish actually does.
What this elective is really assessing

Applied subjects mark safe, correct practice and the reasoning behind it. Almost every written question is one of four kinds: name the control and say why it sits where it does in the hierarchy; choose a material and justify it; choose a joint or process and justify it; describe a sequence in the right order. Learn the orders and the reasons and you have the paper.

Unit 1Workshop practiceControls · Guards · PPE

The safe workshop: controls in the right order

A workshop is not made safe by handing out earmuffs. Safety is a ranked list, and PPE is the bottom of it — the last resort, used when nothing better is possible. Get the order right and half the safety marks are yours.

1.1The hierarchy of controls

A hazard is anything with the potential to cause harm — a spinning blade, a bag of MDF dust, a solvent. The risk is how likely that harm is and how bad it would be. The hierarchy of controls ranks the six ways of dealing with a hazard from the most reliable to the least. You always work from the top down, and you only move down a level when the level above is genuinely not possible.

MOST EFFECTIVE — the hazard itself is removed or contained 1  ELIMINATION 2  SUBSTITUTION 3  ISOLATION 4  ENGINEERING 5  ADMIN 6  PPE Remove the hazard completely Swap it for something safer Separate people from the hazard Design the risk out of the machine Change the way people work Protect the person — last of all buy timber pre-cut instead of ripping it a water-based finish instead of a solvent one the machine in a fenced bay, locked off when idle blade guard, riving knife, dust extraction, e-stop safe work procedures, training, signage, supervision safety glasses, earmuffs, P2 mask LEAST EFFECTIVE — the hazard is still there; safety depends on the person Levels 1–2 get rid of the hazard. Levels 3–4 keep it away from people. Levels 5–6 only change what the person does, so they fail the moment someone forgets.
Figure 1.1 — the hierarchy of controlsRead it top to bottom, always. PPE is level six because it does nothing to the hazard: the blade still spins, the dust is still in the air — the mask just filters what reaches one person's lungs, and only while it is worn and correctly fitted. In an exam answer, name the level and say why it beats the level below it.

1.2Machines: guards, zones and isolation

  • Guards stay on. A guard is an engineering control — it stops the body reaching the cutter. Removing a guard to "see better" moves you from level 4 protection to level 6 in one second.
  • The exclusion zone. Every machine has a marked zone around the cutting point that hands never enter. On a table saw or docking saw the work is fed with a push stick, so the push stick is what gets close to the blade instead of your fingers.
  • Isolate before you touch. Before changing a blade, clearing a jam or adjusting a fence, the machine is switched off at the isolator and left to stop completely — not just released at the trigger. In industry the isolator is then locked out and tagged so nobody else can restart the machine while a hand is inside it.
  • Emergency stop. Know where it is before you start the machine, not after. It is a big red mushroom button you can hit with a knee, a hip or a palm.
  • One operator, no spectators. The person running the machine controls it; everyone else stays outside the zone.
  • Never leave a machine running and walk away, and never brush swarf or offcuts away while the cutter is still turning.

1.3Loose things and rotating things

Rotating machinery — a lathe, a drill press, a spindle moulder, a sander drum — catches anything that dangles and winds it in faster than a person can react. That is the reason for a rule list that sounds fussy until you understand it:

  • No loose clothing. Sleeves rolled or buttoned, shirt tucked, no hoodie strings, no scarves. A caught sleeve pulls the arm in with it.
  • Long hair tied back and, at a drill press or lathe, under a cap or net. Hair wrapped on a rotating spindle removes scalp.
  • No rings, watches, bracelets or lanyards. A ring caught on a turning chuck degloves a finger.
  • No gloves at rotating machines. This surprises people: gloves protect against splinters and sharp sheet edges, but at a drill or lathe they are exactly the kind of loose material that gets wound in — and a glove drags the whole hand with it.
  • Enclosed non-slip footwear always, because dropped chisels and falling stock land on feet, and offcuts and dust make floors slippery.

1.4PPE: what each item is actually for

PPEProtects againstThe detail that gets marked
Safety glasses / face shieldFlying chips, dust, splinters, splashed finishWorn from the moment you enter the machine area — a chip thrown by someone else's cut still reaches your eye. A face shield goes over glasses for lathe work, not instead of them.
Hearing protection (earmuffs or plugs)Noise from routers, thicknessers, saws and extractionHearing damage is cumulative and permanent — there is no repair and no warning pain. Protect from the first noisy minute, not once your ears ring.
P2 respirator (dust mask)Fine wood dust, especially MDF and hardwood dustWood dust is a respiratory hazard and hardwood dust is a recognised cause of nasal cancer. A P2 mask must seal on the face — a beard or a loose strap makes it close to useless.
GlovesSplinters, sharp edges, solvents and finishesHandling and finishing only. Never near rotating machinery.
Enclosed footwearDropped tools and timber, offcuts underfootSteel cap in industry; enclosed, flat and non-slip at school. No thongs, no canvas slip-ons.
The classic exam trap

"A student is exposed to loud noise from the thicknesser. Give the best control." The answer that scores highest is not earmuffs. Working down the hierarchy: can the noisy job be eliminated or the machine substituted for a quieter one? Can the machine be isolated in a separate enclosed bay? Can it be engineered — acoustic enclosure, better-maintained cutters? Only then rostering and time limits (administrative), and finally earmuffs. Earmuffs are the answer to "what PPE?", never to "what is the best control?".

Unit 2MaterialsSolid timber · Boards

Timber, properly: a material that keeps moving

Timber is not an inert material like steel. It was plumbing for a living tree, it is still full of water when it is cut, and for the rest of its life it swells and shrinks with the air around it. Everything a furniture maker does is shaped by that fact.

2.1Hardwood and softwood: a botanical split, not a hardness test

This is the single most commonly failed question in the subject. Hardwood and softwood describe the type of tree, not how hard the wood is. Hardwoods come from broadleaved, flowering trees that mostly lose their leaves or shed them gradually — the eucalypts (gums), blackwood, oak, maple. Softwoods come from conifers: needle-leaved, cone-bearing trees — pine, cypress, cedar, fir.

Most of the time hardwoods really are harder and denser, which is why the names stuck. But balsa is a hardwood — it is a broadleaved flowering tree — and you can dent it with a thumbnail. Meanwhile cypress pine, a softwood, is hard enough to blunt tools. Quote balsa in an exam answer and you have proved you know the rule rather than the rule of thumb.

HardwoodSoftwood
Tree typeBroadleaved, flowering (angiosperm)Needle-leaved, cone-bearing conifer (gymnosperm)
GrowthSlow — decades to a centuryFast — plantation pine is harvested in about 30 years
Usual density & costDenser, harder-wearing, dearerLighter, cheaper, easier to work
Australian examplesJarrah, spotted gum, blackbutt, Tasmanian oak, blackwood, silky oakRadiata pine, hoop pine, cypress pine, Douglas fir
Typical useFurniture, flooring, benchtops, decking — anywhere wear or looks matterFraming, shelving, cheap carcases, mouldings, painted work
The exception to quoteBalsa — a hardwood softer than any softwoodCypress pine — a softwood harder than some hardwoods

2.2Seasoning, moisture and why timber warps

Freshly felled green timber can be more than half water by weight. Seasoning is drying it down to a stable moisture content before it is used — roughly 10–12% for indoor furniture in most of Australia. There are two ways to do it: air drying (stacked outdoors under cover, separated by spacer sticks so air passes between every board — cheap, slow, months to years) and kiln drying (a heated, humidity-controlled chamber — fast, weeks, controllable, but costs energy and can case-harden or check the timber if rushed).

  • Seasoning matters because dry timber is stronger, lighter, holds glue and finish, and can be machined accurately. Green timber blunts tools, refuses to glue and rejects finish.
  • Seasoning is not permanent. Timber is hygroscopic: it keeps exchanging moisture with the air, swelling in a humid summer and shrinking in a dry, heated winter. This is called movement, and good furniture is designed to allow for it — a solid tabletop is fixed with slotted holes or buttons so it can move without splitting itself.
  • Timber moves a lot across the grain and almost nothing along it. A board gets narrower and thinner as it dries; its length barely changes.
  • Because shrinkage differs between the growth rings and across them, a board dries unevenly and distorts. The named defects: cupping (the board curls across its width, away from the heart side), bowing (a curve along its length, face view), springing (a curve along the edge), twist or wind (corners no longer in one plane), and checks or splits (the surface dries and shrinks faster than the core and tears open).
  • Before use, timber is left to acclimatise in the workshop for a week or two so it reaches the moisture content of the room it will live in. Machine it before it has settled and it will move after you have cut your joints.
  • Knots (where a branch left the trunk) are the other common defect: they are hard, they blunt cutters, they weaken the board, and loose ones fall out.

2.3Manufactured boards

Most furniture today is not solid timber. Manufactured boards are made by gluing wood in some broken-down form back together, which buys three things solid timber cannot give: big flat sheets (typically 2400 × 1200 mm), uniform properties in every direction, and far less movement. What they lose is edge strength, water resistance and the look of real grain — which is why they are so often veneered or edge-banded.

Face veneer — grain lengthways Cross ply — grain at 90° Core ply — grain lengthways Cross ply — grain at 90° Face veneer — grain lengthways the good face, chosen for looks stops the sheet splitting along the grain the thickest layer, carries the length balances the ply above the core matches ply 1, so the sheet stays flat Long lines drawn on a ply = its grain runs lengthways. Short ticks = its grain runs across the sheet. An odd number of plies (3, 5, 7…) means both faces run the same way, so the sheet is balanced and does not bow.
Figure 2.1 — why plywood is cross-grainedEach veneer is laid with its grain at right angles to its neighbours. Timber is strong along the grain and splits easily across it — so alternating the layers gives a sheet that is strong in both directions, will not split along a grain line, and barely moves. The layers are also mirrored about the core, which is why the count is always odd.
BoardMade fromStrengthsWeaknessesChosen when…
PlywoodOdd number of thin veneers glued with each layer's grain at 90° to the nextStrongest board for its weight; strong both ways; will not split; holds screws reasonably; marine grades existDearest; edges show the plies and need banding or filling; face veneer is thin and easily sanded throughStrength or a thin panel matters — drawer bottoms, cabinet backs, curved work, boat and outdoor jobs
MDF (medium-density fibreboard)Wood broken down to fine fibres, mixed with resin and pressedPerfectly smooth faces and no grain, so it paints beautifully; cuts and routs to a crisp moulded edge; cheap; totally uniformHeavy; swells irreversibly if it gets wet; weak screw holding in the edge; very fine dust that demands extraction and a P2 maskThe job will be painted — cabinet doors, shaped and routed edges, moulded panels
Particleboard (chipboard)Wood chips and flakes mixed with resin and pressedCheapest sheet material; flat and stable; usually bought pre-faced with melamine so no finishing is neededWeakest of the three; poor screw holding, especially in the edge; sags over a long span; destroyed by waterCost rules and the panel is supported — flat-pack carcases, shelving, bench substrates
Solid timberSawn straight from the logReal grain; can be re-sanded and re-finished for a lifetime; strongest joints; repairableMoves with humidity; limited widths so boards must be edge-joined; defects and knots; expensiveThe job is seen and expected to last — tabletops, chair frames, drawer sides
Veneer and edge banding

A thin slice of expensive timber glued to a cheap stable board gives the look of solid timber with none of the movement — and one log stretches across a whole kitchen. The raw edge of a board is then covered with a strip of matching edge banding, usually iron-on. That is how nearly all commercial furniture is built.

Unit 3Hand skillsMarking · Cutting · Joints

Hand tools and joints: accuracy before speed

A joint is only as good as the line it was cut to. This unit runs in the order the work happens: mark it out, saw it, pare it to the line — then choose the joint that suits the load.

3.1Marking out

Everything is measured from a face side and a face edge — the one flat face and the one straight, square edge you prepare first and mark with the traditional face-side and face-edge symbols. Every later measurement is taken from those two surfaces, so small errors never add up. Measuring the second cut from the first cut is how a project ends up 4 mm out.

ToolWhat it makesUse it when
Pencil (sharpened, or a flat carpenter's pencil)A visible line about half a millimetre wideRough marking, waste marking, anything to be cut oversize and trimmed. Fast, erasable, but too thick for joinery.
Marking knifeA fine cut line that severs the surface fibresJoinery. Two wins: the line is exactly one blade thick, and the severed fibres stop the saw or chisel tearing out. The knife line also gives the chisel a little trench to drop into.
Marking gaugeA scribed line parallel to an edge, set by the stockAny line that must run parallel — a tenon shoulder, a rebate. The stock is held hard against the face side, so every board in the batch gets an identical line.
Mortise gaugeTwo parallel scribed lines at onceMarking the width of a mortise and the matching tenon — set once, mark both parts, guaranteed to match.
Try squareA line square to the face side or edgeSquaring lines across a board and checking a sawn end or planed edge is truly at 90°.
Sliding bevelAny angle, copied and repeatedSplayed legs, mitres that are not 45°, dovetail angles.

3.2Saws, chisels and planes

  • Rip saw — cuts along the grain. Its teeth are filed square across, like a row of tiny chisels, so they pare the fibres away lengthways. Fewer, larger teeth.
  • Crosscut saw — cuts across the grain. Its teeth are filed to a bevel so each one is a small knife point that severs fibres before the gullet clears them. More teeth, finer finish. Use a rip saw across the grain and you get a torn, splintered edge.
  • Set is the slight side-to-side bend of the teeth. It makes the saw cut a kerf wider than the blade, so the blade does not bind in its own cut.
  • Tenon saw (backsaw) — fine teeth and a heavy brass or steel spine along the top to keep the thin blade rigid. This is the joint saw. A coping saw, with its thin removable blade, cuts curves and clears dovetail waste.
  • Chisels pare and chop. Bevel-edge chisels get into a dovetail corner; a mortise chisel is thick and square to lever out waste. Cut with the bevel down for paring the last shavings, flat back down on the line, always with both hands behind the edge and the work clamped — never cut toward your hand.
  • Planes flatten and true. The jack plane does the first rough flattening, the smoothing plane takes the final fine shavings, and a block plane (low blade angle) is for end grain and chamfers. Plane with the grain: if the surface tears out, turn the board around and plane the other way.
  • Sharp is safe. A blunt tool needs force, and force is what makes a chisel skid off the work into a hand.

3.3The joint family

Joints are ranked by how well they resist being pulled apart and how much gluing surface they create. Glue is strong on long grain and weak on end grain — end grain drinks the glue in like a straw and leaves little to bond with. That single fact explains the whole ranking below: every stronger joint is a way of turning end-grain contact into long-grain contact, or of adding a mechanical interlock so the glue is not the only thing holding on.

slides in Rail — the horizontal piece Tenon — the tongue on the rail Shoulder — the step that closes flat on the stile Stile — the upright piece Mortise — the matching hole the same width as the tenon Cheek — the long face that is glued Drawn as a section: the stile is cut through so the mortise inside it can be seen.
Figure 3.1 — the mortise and tenonThe joint that holds every chair and table frame together. Its strength comes from the cheeks: two big long-grain faces glued to the long-grain walls of the mortise, so the glue is working at its best. The shoulders do a second job — they close tight against the stile and stop the rail rocking, which is what resists a chair being wobbled sideways for twenty years.
JointWhat it isStrengthWhere it is used
Butt jointTwo pieces simply pushed together and glued, usually end grain to long grainWeakest. Almost no gluing surface and no interlock — always needs nails, screws, dowels or a blockRough carcase work, painted boxes, anything reinforced by a back panel
Lap joint (half lap)Half the thickness cut from each piece so they overlap flushBetter — a real long-grain gluing face and some resistance to twistingFrames, cross-halvings, light rails
Housing (dado)A square trench across one piece; the end of the other sits in itGood — two long-grain faces glued instead of one, and the trench walls also carry the shelf's load directlyShelves into a bookcase side, cabinet dividers
Mortise and tenonA tongue on one piece fitted into a matching hole in the otherVery strong — large long-grain gluing area plus shoulders that resist rackingChair and table frames, doors, anything with legs and rails
DovetailInterlocking wedge-shaped tails and pinsStrongest against being pulled apart — the wedges physically cannot withdraw, even with no glueDrawer fronts, fine boxes — exactly where a joint is yanked repeatedly
BiscuitA compressed beech oval glued into matching slots; it swells with the glue's moistureModest — mainly alignment plus a useful strength gain over a plain buttEdge-joining boards, lining up panels and carcase parts fast
Domino (loose tenon)A machined floating tenon glued into two routed mortisesStrong — effectively a mortise and tenon cut by machine in secondsProduction frames and carcases where hand-cut tenons would be too slow
MitreBoth pieces cut at 45° so no end grain showsWeak on its own — end grain to end grain — so it is keyed, splined or biscuitedPicture frames, boxes, anything where the corner must look seamless
Justifying a joint choice

A full-mark answer names the joint, names the load, and links them. "A drawer front takes a repeated pull every time it is opened, so it needs a joint with a mechanical interlock rather than one relying on glue alone — a dovetail, whose wedge-shaped tails cannot withdraw." Compare: "a dovetail, because it's strong" earns a fraction of the marks.

Unit 4AssemblyGlue · Fixings · Finishes

Assembly and finishing: the last 10% everyone sees

A perfectly cut project can still be ruined in its final hour: glue that grabbed before the clamps went on, a screw that split a rail, or a coat of varnish laid over scratches that only became visible once it was wet. This unit is the order of operations for the end of a job.

4.1Adhesives

PVA (polyvinyl acetate — white or yellow woodworking glue) is the workshop default. It is water-based, non-toxic, cleans up with a damp cloth while wet, and when it is used properly a glued long-grain joint is stronger than the timber beside it — test it to destruction and the wood fails, not the glue line.

  • Open time is the window between spreading the glue and closing the joint — roughly 5 to 10 minutes for standard PVA. Miss it and the surface skins over; the joint will look closed and be effectively unglued. On a complicated assembly you therefore dry-fit everything first, lay the clamps out ready, and only then open the bottle.
  • Clamping does not squeeze the joint strong — it holds the parts in contact and squeezes out the excess so the glue line is thin. A thick glue line is a weak glue line. Use even pressure and cauls or scrap blocks so the clamp heads do not dent the work.
  • Clamp time is around 30–60 minutes before the piece can be handled; full cure is about 24 hours before the joint takes real load or gets machined.
  • Check for square while the glue is still wet — measure the two diagonals of a frame; if they are equal it is square. After the glue grabs, nothing can be adjusted.
  • Wipe the squeeze-out now. Dried glue is invisible until you apply stain or oil, when it shows as a pale patch that refuses to take colour. Wipe with a damp cloth, or let it go rubbery and pare it off.
  • Choosing the glue: interior PVA (D2) for indoor work; cross-linking PVA (D3/D4) where damp is possible; polyurethane for outdoor and oily timbers (it foams and needs moisture to cure); contact adhesive for laminates and veneers, coated on both faces, left to touch-dry, then pressed — there is no repositioning once the faces meet; hot melt only for temporary holds and jigs.

4.2Screws, nails and pilot holes

ScrewsNails
How it gripsA thread cuts into the timber and pulls the parts togetherFriction only, as the fibres press back on the shank
Best at resistingWithdrawal — being pulled straight outShear — a sideways load across the shank
SpeedSlower; needs drillingVery fast
Removable?Yes, cleanly — so it suits knock-down and repairable workNot without damage
Typical useCarcases, hinges and hardware, anything carrying load or needing to come apartFraming, mouldings, holding a panel while glue cures

A screw properly installed needs three holes, not one. The pilot hole in the lower piece is slightly smaller than the screw's core, giving the thread something to bite while stopping the wedge action from splitting the timber — essential in hardwood, and essential anywhere near an end or an edge. The clearance hole in the upper piece is the full shank diameter, so the thread does not grip the top piece and can pull the two boards tight together; skip it and the screw jacks the boards apart. The countersink is the cone at the top that lets a countersunk head sit flush or just below the surface. Nails split timber too, which is why they are staggered rather than driven in a line along one grain fibre, and blunting the point makes a nail crush its way through rather than wedge the fibres apart.

4.3Sanding: the sequence you cannot skip

Sandpaper does not smooth timber — it scratches it. Every grit leaves a field of scratches of its own size; the next grit's only job is to replace them with finer ones. That is why the sequence is coarse to fine and why skipping a grit does not work: 180 grit is not aggressive enough to remove 80-grit scratches, so it just polishes the ridges between them, and the coarse scratches sit there invisibly until a finish is applied and they suddenly appear as dark lines.

GritJobNotes
80Levelling — machine marks, glue spots, badly out-of-flat surfacesCoarse and fast. Removes a lot of material, so keep it moving or it will dish the surface.
120Removing the 80-grit scratchesThe workhorse grit; most of the time is spent here.
180Removing the 120-grit scratchesEnough for a painted finish.
240Final surface before oil, stain or varnishGoing much finer can burnish the surface so it stops absorbing stain evenly.
  • Sand with the grain, never across it. Cross-grain scratches are the ones that show most under a finish.
  • Vacuum and wipe between grits. One stray 80-grit particle dragged along under a 180-grit sheet cuts a scratch you will then have to chase out from the beginning.
  • Use a sanding block on flat work — fingers press unevenly and dig hollows, especially at edges.
  • Ease the sharp edges ("break the arris") with a light pass. A knife-sharp edge is uncomfortable, dents easily, and finish will not stay on it.
  • Before a water-based finish, wipe the surface with a damp cloth, let it dry, and sand lightly again: the water lifts the fibres (raises the grain) so you can cut them off now rather than have the first coat do it for you.
  • Sanding dust is a hazard too — extraction on the machine, P2 mask on your face, especially with MDF.

4.4Finishes: what each one actually does

FinishHow it worksProtectionLook & repairBest for
StainColour carried in a liquid that soaks into the fibresNone — it only coloursDeepens the grain; blotches on pine and any glue smearChanging the colour before a protective finish goes over the top — a stain is never the last step
Oil (danish, tung, hardwax)Soaks into the timber and cures there; no film on topLow to moderate — water-resistant, not waterproofNatural, low sheen, feels like wood; scratches are repaired by re-oiling the spot — no strippingFurniture that will be handled and re-finished; anything a beginner must be able to repair
WaxBuffed onto the surface as a soft filmLowest of all — marks with water and heatSoft glow, lovely feel; re-waxed whenever it dullsA top coat over oil or shellac; low-wear items
Varnish / polyurethaneCures into a hard plastic film on top of the timberHighest — water, heat, scratches and spillsGlossy to satin, slightly plastic; damage means sanding back the area or the whole panelTabletops, benchtops, floors, outdoor work — anywhere that meets water and wear
Paint (over primer)Opaque film; primer seals and grips firstHigh, and it hides the substrateAny colour; chips are touched upMDF and cheaper boards, where there is no grain worth showing
Preparation is the finish

Markers repeat one line: a finish magnifies the surface underneath it. It never hides a scratch, a glue smear or a torn edge — it makes all three more obvious. So the order is fixed: sand through every grit → remove all dust → stain if colour is wanted → apply thin coats of the protective finish → de-nib lightly between coats once dry → final coat. Thin coats, several of them, always beat one thick one: thick coats run, trap bubbles and stay soft.

Start hereYear 10 ElectivePreparatory Industrial Graphics

Drawings that can be built from.

This course prepares you for Industrial Graphics Skills (Applied) in Years 11–12. Four units: the language of technical drawing, third-angle orthographic projection as Australia uses it, pictorial drawing, and CAD through to the machine that cuts the part.

The mapFour units

  1. The language of drawings — why the conventions exist, the four line types, and reading a scaled dimension.
  2. Orthographic projection — third angle to AS 1100, how the three views relate, and the dimensioning rules.
  3. Pictorial drawings — isometric at 30°, oblique, one-point perspective, and what happens to circles.
  4. CAD — sketch, constrain, extrude; file types; and the path from CAD to CNC and 3D printing.
The one idea behind the whole course

A technical drawing is not artwork — it is an instruction. Someone you will never meet must build the part from it and get it right the first time. Every convention in this course exists to remove one more way of being misunderstood.

Unit 1AS 1100Line types · Scales

The language of drawings

Technical drawing is a language with a fixed grammar, and Australia's grammar book is AS 1100. Every line on a drawing means one particular thing — and its thickness and pattern are how it says which.

1.1Why technical drawing exists

  • A sketch communicates an idea. A technical drawing communicates a specification: exact sizes, in a standard form, with no room for interpretation.
  • It has to survive the journey. The drawing may be read by a machinist in another state, a supplier overseas, or a CNC operator years later — none of whom can ask you what you meant.
  • Standards make that possible. In Australia, AS 1100 fixes the line types, the projection method, the dimensioning rules and the lettering, so every drawing reads the same way.
  • It is also the legal and commercial record: a quote, a contract and a manufacturing check are all made against the drawing.

1.2The four line types you must know

CONTINUOUS THICK — visible outline every edge you can actually see in this view SHORT DASHES, THIN — hidden detail an edge that exists but is behind material in this view LONG-SHORT CHAIN, THIN — centre line the axis or centre of a circle, a hole, or a symmetrical part 60 THIN, ARROWHEAD EACH END — dimension line carries the size, written above the line, always in millimetres extension line extension line the two thin lines drawn out from the object, marking where the dimension starts and stops
Figure 1.1 — the line types, each drawn in its own conventionThickness is meaning, not decoration. Only the visible outline is thick; hidden detail, centre lines, dimension lines and extension lines are all thin, and each has its own pattern. A drawing where every line is the same weight is unreadable — the eye can no longer tell the object from the notes about it.
Two conventions worth memorising

Hidden lines start and finish with a dash, and a dash meets a visible line rather than crossing it — so the reader can see exactly where the hidden feature begins.

Centre lines cross at their long dashes at the centre of a circle, and extend a little past the feature. A centre line is never used as an edge.

1.3Scale: fitting a real object onto a page

A scale is written drawing : real. Read it as a ratio, and the arithmetic is always one multiplication or one division.

ScaleMeansReal size → drawn sizeMeasured on paper → real size
1:1Full size60 mm → 60 mm60 mm → 60 mm
1:2Half size — divide by 290 mm → 45 mm45 mm → 90 mm
1:5One fifth size — divide by 5350 mm → 70 mm24 mm → 120 mm
2:1Twice size — an enlargement, for small parts7 mm → 14 mm14 mm → 7 mm
The rule that catches everyone

The number written beside a feature is always the true size of the real object, whatever the scale. On a 1:5 drawing, a 350 mm shelf is drawn 70 mm long — and labelled 350. Never write the paper measurement, and never measure a drawing to find a size when the dimension is written on it.

Unit 2AS 1100Third-angle projection

Orthographic projection

One picture of a 3D object always hides something. Orthographic projection solves it by giving several flat, square-on views — and Australia arranges those views in third angle.

2.1Third angle: where each view goes

In third-angle projection, each view is placed on the same side as the direction you looked from. Look down from above → the top view is drawn above. Look from the right → the right side view is drawn on the right. This is the method used in Australia under AS 1100, and in North America. (First angle, used across Europe, puts them on the opposite sides — know that it exists, but draw in third angle.)

TOP VIEW width 60, depth 40 FRONT VIEW width 60, height 50 RIGHT SIDE VIEW depth 40, height 50 PROJECTION LINES keep the views aligned visible edge — the face of the upright, seen from above visible edge: the top of the base slab the same block, pictorially 60 wide, 40 deep, 50 high (mm) The thin dashed lines are PROJECTION LINES — they prove the views agree: the same width above and below, the same height left and right. THIRD ANGLE (AS 1100): the top view sits ABOVE the front view, and the right side view sits to its RIGHT.
Figure 2.1 — one L-shaped block, three agreeing viewsThe block is a 60 × 40 × 20 base slab with a 20 × 40 × 30 upright standing on its left-hand end — so a 40 wide × 30 high step is missing from the top right, right through the depth. The front view therefore shows the L; the top view is a plain 60 × 40 rectangle with one visible edge where the upright's face rises; the right side view is a plain 40 × 50 rectangle with one visible edge at the top of the base slab. Every width in the top view matches the front view below it, and every height in the side view matches the front view beside it — that agreement is the check that a drawing is correct.

2.2How the three views relate

  • The front view is chosen first: pick the face that shows the object's most characteristic shape, and everything else follows from it.
  • Top view shares WIDTH with the front view — it sits directly above, so every vertical projection line runs straight through both.
  • Right side view shares HEIGHT with the front view — it sits directly beside, so every horizontal projection line runs straight across both.
  • Top view and side view share DEPTH — the depth measured down the top view equals the depth measured across the side view. (In Figure 2.1 both are 40.)
  • Draw only as many views as the object needs. Three is typical; a flat plate may need one plus a thickness note.

2.3The third-angle symbol

the cone seen END-ON — two concentric circles the cone seen FROM THE SIDE its large end faces the circles centre lines THIRD-ANGLE PROJECTION SYMBOL Circles on the LEFT, cone on the right. In the first-angle symbol they are the other way round.
Figure 2.2 — the symbol that tells the reader which system you usedIt is a truncated cone drawn in two views. Because the drawing is in third angle, the end-on view sits on the same side as the eye that saw it — on the left. This symbol goes in the title block of every drawing, so a reader anywhere in the world knows how to interpret the layout before reading a single dimension.

2.4Dimensioning rules

  1. Dimension each feature once, and once only. If the slot's width appears in both the front and the top view, the two can disagree after an edit — and then nobody knows which is right.
  2. Work from a datum. Measure every dimension from the same chosen edge or face rather than chaining each one off the last, so small errors cannot accumulate along the part.
  3. Millimetres, and don't write "mm". All dimensions are in millimetres, the unit symbol is left off each number, and a single note on the drawing states ALL DIMENSIONS IN MILLIMETRES.
  4. Put dimensions outside the outline where possible, on the view that shows the feature most clearly, and never let a dimension line cross another.
  5. Numbers read from the bottom or the right of the sheet, and sit above the dimension line, clear of it.
  6. Diameters are marked ⌀ and radii R — ⌀12 is a 12 mm hole; R6 is a 6 mm radius corner.
Unit 3PictorialIsometric · Oblique · Perspective

Pictorial drawings

Orthographic views are for building. Pictorial drawings show the object as a solid in one image — for explaining, selling and assembling. There are three you need, and each is right for a different job.

3.1Isometric: both axes at exactly 30°

horizontal reference line 30° 30° top face left face right face Vertical edges stay truly vertical height is never tilted in an isometric drawing Both base edges sit at exactly 30° measured up from the horizontal reference line In isometric DRAWING all three axes are drawn full size — a 40 mm edge measures 40 mm along any of the three axes.
Figure 3.1 — the isometric cubeThree axes, and only three: one vertical, and two at 30° to the horizontal. Because all three are drawn full size, an isometric drawing can be measured along its axes — which is why it is the pictorial engineers reach for. What it cannot do is look natural: nothing gets smaller with distance, so a long isometric object can look slightly wrong to the eye. That is the price of being measurable.

3.2Oblique and one-point perspective

 IsometricObliqueOne-point perspective
How it is set outTwo axes at 30°, verticals verticalFront face drawn square-on and true shape; depth goes back at an angle (usually 45°)Front face square-on; all depth lines converge on one vanishing point on the horizon
Can you measure it?Yes, along all three axesAlong the front face, yes; the depth is usually halvedNo — sizes shrink with distance
Circles on the front faceBecome ellipses (no face is square-on)Stay true circles — that is the whole point of obliqueBecome ellipses unless the face is parallel to the picture plane
Use it forEngineering pictorials, assembly instructionsObjects with one complicated face — a dial, a wheel, a control panelRealistic views: interiors, buildings, presentation renders
  • Cabinet oblique draws the depth at half its true length. Drawn at full depth (cavalier oblique) an object looks unnaturally long, so cabinet is the usual choice.
  • In one-point perspective the vanishing point sits on the horizon line, at the viewer's eye level. Move the eye level and the whole drawing changes character — below it you look up at the object, above it you look down.
  • Perspective is the only one of the three that matches what a camera sees — and the only one you must never measure a size from.
The circle test

Ask: is the face square-on to me? A circle drawn on a square-on face stays a circle; on any face turned away from the viewer, it is drawn as an ellipse. That is why a wheel is easy in oblique and awkward in isometric — in isometric no face is square-on, so every circle becomes an ellipse.

Unit 4CAD · CAMSketch · Constrain · Extrude

CAD, and what happens next

Every convention in this course still applies in CAD — the software just enforces them. What CAD adds is that the model can go straight to a machine and become a real part.

4.12D CAD and 3D CAD

 2D CAD3D CAD (parametric modelling)
What you makeFlat views — lines, arcs and text on a sheetA solid model with real volume
ViewsYou draw each view yourselfViews are generated from the model, so they cannot disagree
Changing a sizeRedraw every view it affectsChange the dimension once; the model and all its views update
Typical useFloor plans, laser-cut and CNC-router profilesParts, assemblies, 3D printing, machining

4.2The workflow: sketch → constrain → extrude

  1. Choose a plane to sketch on — usually front, top or right, or a flat face of what you have already built.
  2. Sketch the profile roughly. Do not aim for accuracy here; aim for the right shape and the right connections.
  3. Constrain and dimension until the sketch is fully defined: geometric constraints (horizontal, vertical, parallel, tangent, equal, coincident) fix the relationships, and dimensions fix the sizes.
  4. Extrude the closed profile into a solid — or revolve it around an axis, for anything round.
  5. Add the next feature on the new solid: another extrusion, a cut, holes, fillets and chamfers.
Why constraints matter more than they look

An unconstrained sketch is a rubber band: drag one line and the whole shape distorts, and the next person to open the file has no idea what was meant to stay fixed. A fully defined sketch cannot be dragged out of shape at all — it records your design intent, so that when someone changes the width from 60 to 80, the holes stay centred and the walls stay parallel instead of drifting. Most CAD packages colour a fully defined sketch differently precisely because it matters this much.

4.3File types

FormatWhat it holdsWhen you use it
Native (.dwg, .sldprt, .f3d)The full model with its sketches, constraints and feature historyWhile you are still designing, in that one program
DXF2D geometry only — the flat profileSending a shape to a laser cutter, plasma cutter or CNC router
STEP (.stp) and IGESNeutral 3D solid geometry, no editable historySending a 3D part to someone using different CAD software
STLThe surface only, approximated as thousands of triangles3D printing — it is the slicer's input
PDFA fixed picture of the drawing sheetViewing, quoting and printing — never for machining

Neutral formats are the reason a workshop can accept your part without owning your software — but they arrive with the history stripped out, so keep the native file: it is the only version you can properly edit.

4.4From CAD to a real part

  • CAD → CAM → G-code → machine. CAM software plans the tool paths from your model, then posts them out as G-code — the numbered instruction list a CNC machine actually runs.
  • CNC machining is subtractive: it starts with a block and cuts material away. A CNC router, mill or lathe follows the tool path exactly, as many times as you like.
  • 3D printing is additive: a slicer cuts your STL into horizontal layers and writes G-code that builds the part up one layer at a time.
  • The machine does exactly what the file says. A wrong dimension in CAD becomes a wrong part in metal — which is why the drawing conventions in Units 1 and 2 still decide whether the job succeeds.
Start hereYear 10 electiveTechnologies · Industrial

Metal, measured to the millimetre.

Industrial Technology Skills is where a drawing becomes a fabricated object. The practical marks come from the workshop — but the written marks come from four things: assessing risk properly, measuring accurately, choosing the right cutting tool and speed, and choosing the right way to join two pieces of metal. That is this course.

The mapFour units

  1. Working safely with machines — risk assessment in four steps, the hierarchy of controls with metalwork examples, and the two hazards students underrate: noise and dust.
  2. Measuring & marking out — rules, squares and calipers, datum edges and tolerances, and marking metal so the line survives.
  3. Cutting, drilling, shaping — hacksaw blades and TPI, files, drilling speeds, threading with taps and dies, and the bench grinder.
  4. Joining & fabrication — rivets and bolts, the soldering–brazing–welding ladder, and why zinc protects steel long after the coating is scratched.
How this subject is marked

Applied questions almost always ask you to choose and justify: which control, which blade, which speed, which joining process, which coating. A bare name earns little. Name it, then give the reason in the same sentence — "24 TPI, because thin sheet needs at least three teeth in the cut at all times, or the teeth snag and strip."

Unit 1Workshop practiceRisk · Controls · SWP

Working safely with machines

Every machine in a metal workshop can do in a quarter of a second what a surgeon cannot undo in six hours. Safety here is not a list of rules to memorise — it is a repeatable process you can apply to a machine you have never seen before.

1.1Risk assessment: four steps, always in this order

  1. Identify the hazard. Walk the job and ask what could hurt someone: the rotating chuck, the swarf, the noise, the fume, the hot workpiece, the 6 kg bar that could drop on a foot. A hazard is anything with the potential to cause harm.
  2. Assess the risk. Two questions together: how likely is it to happen, and how badly would it hurt? A likely-but-minor hazard and an unlikely-but-fatal one are both worth controlling — assessing them tells you which to fix first.
  3. Control the risk. Work down the hierarchy of controls from the top and stop at the highest level you can actually achieve.
  4. Review. Did the control work? Has anything changed — a new machine, a new material, a near miss? A risk assessment written once and filed forever is not a risk assessment.

The output of that process is a safe work procedure (SWP): a short written sequence for one machine, stating the PPE required, the pre-start checks, the correct steps, and what to do if something goes wrong. In a school workshop you sign one before you are allowed on the machine, and it is the document a marker will ask you to write or complete.

1.2The hierarchy of controls, in metal

Six levels, most effective first. You never jump to the bottom because it is easier — and PPE is the bottom, because it changes nothing about the hazard itself.

#LevelWhat it meansIn the metal workshop
1EliminationRemove the hazard completelyHave the supplier laser-cut the sheet, so nobody uses the guillotine at all
2SubstitutionSwap it for something less hazardousCut bar on a cold saw instead of an angle grinder — far less noise, no shower of sparks
3IsolationSeparate people from the hazardWeld inside a screened bay, so the arc flash cannot reach anyone walking past
4EngineeringDesign the risk out with hardwareChuck guard, fume extractor at the arc, emergency stop within reach, interlocked door
5AdministrativeChange how people workA written SWP, training and sign-off, machine signage, rostering noisy jobs
6PPEProtect the individual, last of allSafety glasses, welding helmet, earmuffs, P2 respirator, leather gloves, boots
The reason PPE is last

PPE does nothing to the hazard. The grinder still throws sparks, the arc still emits ultraviolet, the fume is still in the air — PPE just puts a barrier in front of one person, and only while it is worn, undamaged and correctly fitted. Every level above it protects everyone in the room, all the time, without anyone remembering to do anything. That sentence is worth memorising; it answers half the safety questions on the paper.

1.3Machine rules that are never negotiable

  • Guards on, always. A chuck guard or wheel guard is an engineering control. Removing it drops the protection five levels in one move.
  • Isolate before adjusting. Switch off at the isolator, wait until everything has stopped turning, and lock and tag it out before changing a blade, a wheel or a chuck.
  • Know the emergency stop before you press start — the big red mushroom button you can hit with a palm, a hip or a knee.
  • Clamp the work. A drill that grabs will spin a plate into a spinning blade with your hand still on it. Use a machine vice or a clamp, every time.
  • Swarf is not rubbish, it is razor wire. Long steel curls are sharp and hot. Clear it with a brush after the machine has stopped — never with fingers, never while it is running.
  • No loose clothing, no long hair loose, no rings, no lanyards, and no gloves at rotating machines. Gloves protect against sharp sheet edges, but at a lathe or drill they are simply loose material that can be wound in with the hand inside them.
  • Enclosed leather or steel-cap footwear. Dropped bar, hot sparks and sharp swarf all end up on the floor.

1.4The two hazards students underrate

  • Noise. An angle grinder, a guillotine and a drop saw are all loud enough to damage hearing. The damage is cumulative and permanent: there is no warning pain, no healing, and no repair. Tinnitus — permanent ringing — usually arrives before people notice they cannot hear speech in a crowd. Control it high up the hierarchy where you can (quieter process, enclosed bay) and wear earmuffs or plugs the rest of the time, from the first minute.
  • Dust and fume. Grinding dust, welding fume and the fine particles from cutting all reach deep into the lungs. Welding fume is a recognised carcinogen, and galvanised steel is especially dangerous to weld or grind: it releases zinc oxide fume, which causes metal fume fever. Extraction at the source beats a mask every time — it is level 4, the mask is level 6 — because extraction removes the fume from the whole room, protecting everyone, whether or not they remembered their respirator.
Unit 2AccuracyRules · Squares · Calipers

Measuring and marking out

In timber you can plane a millimetre away. In metal you cannot — a part is either within tolerance or it is scrap. Everything in this unit exists to stop small errors turning into a bin full of expensive off-cuts.

2.1The measuring tools

ToolWhat it doesUsing it properly
Steel ruleDirect measurement, usually to 0.5 mmStand the rule on its edge so the graduations touch the work, and look straight down the line — viewing from an angle introduces parallax error. Measure from a graduation, not the worn end.
Try squareMarks and checks a true 90°The stock is held hard against the datum face. To test a square itself, mark a line, flip the square over and mark again — the two lines must coincide.
Combination square90° and 45°, plus depths, heights and centresThe head slides and locks anywhere on the rule, so it doubles as a depth gauge and a marking gauge. With a centre head it finds the centre of round bar.
Vernier / digital calipersOutside, inside, depth and step measurements to a fraction of a millimetreClose the jaws first and check it reads zero. Use gentle, even pressure — squeezing gives a false small reading.
ScriberScratches a permanent fine line into the metalA pencil line rubs off, smears with oil and is far too thick. A scribed line is one point wide and stays there through the whole job.
Centre punchPunches a small dimple at a hole centreThe drill point drops into the dimple instead of skating across the surface. Check it is on the crossed lines before the hard hammer blow.
Engineer's / machinist's square, surface plate, scribing blockReference surfaces for accurate marking outMarking out is always done from a flat reference surface and a datum edge, not freehand on the bench.

2.2Reading a vernier caliper

0510 2025 Internal jaws — for inside sizes, like the width of a hole the two pointed jaws above the beam Locking screw — holds the reading Main scale — whole millimetres Depth rod — measures the depth of a hole slides out of the far end of the beam External jaws — for outside sizes, like a bar's width the two large jaws below the beam Vernier scale — fractions of a millimetre one division = 0.02 mm on a 50-division scale
Figure 2.1 — the vernier caliperOne tool, four measurements: outside sizes on the big lower jaws, inside sizes on the small upper jaws, hole depth on the rod that slides out of the far end, and step heights on the back of the jaws. The slider carries a second, finer scale — the vernier — which is what turns a rule that reads to half a millimetre into an instrument that reads to two hundredths.

A metric vernier squeezes 50 divisions into the space of 49 millimetres, so each vernier division is 0.02 mm narrower than a main-scale millimetre. To take a reading: first read the whole millimetres on the main scale, up to the vernier's zero mark. Then run along the vernier until you find the one line that lines up exactly with a main-scale line, and multiply its number by 0.02 mm. Add the two. If the main scale reads 23 mm and the seventh vernier line coincides, the size is 23 + (7 × 0.02) = 23.14 mm. Digital calipers do the same job to 0.01 mm and can be zeroed anywhere, which makes comparison measurements easy — but they need a battery, and they lie silently when the jaws are dirty.

2.3Datum edges and tolerances

  • A datum is the one edge or face that every measurement is taken from. Prepare it first: straight, flat and square. If you measure the second hole from the first hole and the third from the second, each small error is added to the last — cumulative error — and by the sixth hole nothing lines up. Measured from a single datum, each error stays its own size.
  • A tolerance is the amount a size is allowed to vary and still be accepted. Written 40 ± 1 mm, it means anything from 39 mm to 41 mm passes. Tolerances exist because no process is perfect and because tighter tolerances cost more time, better machines and more rejects — so a designer specifies tight tolerances only where the fit actually matters.
  • Where two parts must fit, the tolerance is what decides whether you get a clearance fit (it slides), a transition fit (it locates snugly) or an interference fit (it must be pressed in). This is why "close enough" is meaningless in fabrication and "±1 mm" is not.
  • Always allow for the kerf — the width of material the blade turns into swarf. Four pieces cut from one bar means three cuts, and three cuts at a 2 mm kerf lose 6 mm of bar.

2.4Making the line show on metal

Bare steel is shiny, so a scribed line disappears into the reflections. Marking-out fluid — layout blue, brushed or sprayed on and dry in seconds — gives a dark matt coating; the scriber then cuts through it and the line appears as a bright metal streak against the blue, impossible to lose. The sequence is: clean and de-grease the surface → coat with marking-out fluid → set the rule or square from the datum edge → scribe the lines → centre punch every hole centre where the lines cross → check every dimension before a single cut is made.

Unit 3ProcessesSawing · Filing · Drilling

Cutting, drilling and shaping

Every cutting tool in the workshop obeys the same two rules: match the tooth or the speed to the material, and let the tool cut instead of forcing it. Break either rule and you get a stripped blade, a burnt drill or a hospital visit.

3.1The hacksaw and the three-tooth rule

A hacksaw blade is fitted with the teeth pointing forward, away from the handle, because it cuts on the push stroke; the blade is tensioned in the frame so it cannot flex and wander. The number that matters is TPI — teeth per inch. The rule behind every choice is simple: at least three teeth must be in the cut at all times. Fewer than three and the teeth straddle the material, snag on the edge and strip off.

TPIUse it onWhy
14Thick, soft sections — aluminium, brass, heavy mild-steel barBig gullets between big teeth clear the large soft chips instead of clogging
18General-purpose mild steelThe default blade in a school workshop
24Thinner sections, angle iron, thicker tubeKeeps three or more teeth in contact as the wall thickness drops
32Thin sheet and small-diameter tubeOnly very fine teeth keep three in the cut on a 1 mm wall — a coarse blade would snatch and strip
  • Long, steady strokes using the whole blade, about one per second, with pressure on the push and released on the return — dragging the teeth backwards under load just blunts them.
  • Clamp the work in a vice close to the cut, or it will chatter, and support both sides as you finish so the offcut cannot pinch the blade.
  • A new blade in a part-sawn cut will jam, because the old blade's kerf is wider than the new blade's set. Start a fresh cut.

3.2Files

TermMeaning
Single cutOne set of parallel teeth. Removes less, leaves a smoother surface — used for finishing and for sharpening.
Double cutTwo sets of teeth crossing each other, making individual cutting points. Removes metal fast; the general shaping file.
RaspIndividual punched teeth for soft materials such as timber and plastic — far too coarse for steel.
Grades, coarse to fineRough → bastard → second cut → smooth → dead smooth. Work down the grades exactly as you work down sanding grits.
Cross filingFiling across the work at an angle to remove material and bring a surface to size.
Draw filingHolding the file sideways in both hands and drawing it along the work — the finishing cut, giving a flat, bright surface.
PinningChips jammed between the teeth; they score deep scratches into the work. Clear them with a file card (wire brush) and rub chalk on the file to slow it happening.

A file is only cut on the forward stroke, so lift or ease it on the return. And never use a file without a handle fitted over the tang: a bare tang is a spike, and if the file catches it drives that spike into the palm.

3.3Drilling

The speed rule is the one that gets examined: the bigger the drill or the harder the material, the slower the speed. A big drill's outer edge travels much further per revolution than a small one's, and the cutting edge burns if it moves through the metal too fast — a blued, blunt drill is a drill that was run too fast, pushed too hard, or run dry.

Drill diameter (HSS in mild steel)RoughlyThe pattern
3 mm~2000–2500 rpmDouble the diameter and you roughly halve the speed. Softer materials such as aluminium and plastic run faster; harder ones such as stainless steel run slower still, with plenty of cutting fluid.
6 mm~1000–1300 rpm
10 mm~600–800 rpm
12 mm~500–650 rpm
  • Centre punch first, always. Without a dimple, the chisel edge of the drill skates across the surface and the hole ends up somewhere else.
  • Clamp the work in a machine vice or to the table. Sheet metal is the worst offender: the drill grabs as it breaks through, and an unclamped sheet becomes a spinning blade.
  • Cutting fluid on steel — it cools the edge and flushes the swarf. Aluminium can be cut dry or with kerosene; cast iron is drilled dry.
  • Pilot holes. For a large hole, drill a small one first: the large drill's chisel edge does not cut well, and a pilot hole lets its cutting lips do the work.
  • Countersinking cuts a cone at the mouth of the hole so a countersunk screw or rivet head finishes flush with the surface. Run the countersink slowly, or it chatters and leaves a fluted edge.
  • Ease off as the drill breaks through — that is the moment it grabs.

3.4Threads: taps and dies

  • A tap cuts an internal thread inside a drilled hole; a die cuts an external thread on a rod.
  • The hole is drilled to the tap drill size, which for a standard metric thread is the diameter minus the pitch: M6 × 1.0 needs a 5.0 mm hole; M8 × 1.25 needs 6.8 mm; M10 × 1.5 needs 8.5 mm. Drill it too big and the thread has no metal to cut; too small and the tap jams and snaps — and a broken tap is hardened steel that cannot be drilled out.
  • Taps come as a set of three, used in order: the taper tap (long lead-in, starts the thread square), the second or intermediate tap, and the plug or bottoming tap that finishes the thread to the bottom of a blind hole.
  • Turn half a turn forward, then a quarter turn back to break the swarf, keep the tap square to the surface, and use cutting fluid.

3.5The bench grinder

  • Sparks are metal. The stream leaving a grinding wheel is red-hot particles of steel — safety glasses and the wheel's eye shield, always, and never aim the stream at anyone.
  • The tool rest is set close to the wheel — a couple of millimetres. A wide gap lets the work be dragged down into it and jam, wrecking the wheel and the hand holding the work.
  • Stand to one side when starting up. A cracked wheel bursts in the first seconds at full speed, and the pieces leave in the plane of the wheel.
  • Grind on the face of the wheel, never the side. The side is not designed to take the load and can shatter.
  • Never grind aluminium, brass or timber on a wheel meant for steel: soft material loads the pores of the wheel, and a loaded wheel overheats and can break up.
  • Dip the work to keep it cool. If a tool edge turns blue you have overheated it and lost the hardness — the temper — and no amount of sharpening brings it back.
Unit 4FabricationFasteners · Heat · Coatings

Joining and fabrication

There are three ways to hold two pieces of metal together: a fastener through them, heat and a filler between them, or adhesive. Then there is the fourth question everyone forgets until the job rusts — what protects the steel afterwards.

4.1Mechanical fastening

FastenerHow it worksPermanent?Chosen when…
Blind (pop) rivetA hollow rivet is pushed through both parts; the gun pulls a mandrel that swells the far end, then snaps it offPermanent — removing it means drilling it outYou can only reach one side of the joint — a box, a duct, a closed tube. This is the answer markers look for.
Solid rivetHammered or pressed over to form a second headPermanentHeavier structural work, and where a joint must not vibrate loose
Bolt, nut and washerClamps the parts between the bolt head and the nutRemovableAnything that must come apart for service, or carry a real load
Machine screw into a tapped holeThreads directly into a thread cut in the part itselfRemovableOnly one side is accessible but the part is thick enough to tap
Self-tapping screwCuts its own thread as it drives into a pilot hole in sheetRemovable, but the thread wears after a few cyclesThin sheet metal, light fixings, fast assembly
  • A plain washer spreads the clamping load over a wider area, so the nut cannot pull through or dent thin material.
  • A spring washer (or a nyloc nut) keeps tension in the joint so vibration cannot shake the nut loose — the reason every machine and vehicle uses them.
  • Holes for bolts are drilled as clearance holes, a little larger than the bolt, so the parts can be lined up and the bolt is not bent into place.

4.2Heat: the soldering – brazing – welding ladder

All three use heat and all three make a joint, but they are separated by one question: does the parent metal melt?

ProcessTemperatureDoes the parent metal melt?StrengthUsed for
Soft solderingFiller melts below 450 °C — typically around 200 °CNo. Molten solder is drawn into the joint by capillary actionWeakest — it seals and conducts more than it holdsElectrical connections, copper pipe, sheet-metal seams, tinplate
Brazing (and silver soldering)Filler melts above 450 °C — typically 600–900 °CNo. The parent metal is heated until the filler flows into the joint, but stays solidStrong — and it can join dissimilar metals, such as steel to brassBike frames, tool joints, thin tube, anything that would burn through if welded
Welding (MIG, TIG, arc)Steel melts at about 1500 °CYes. The parent metal melts and fuses; filler wire joins the same poolStrongest — a good weld can be as strong as the parent metal itselfStructural steel, frames, trailers, gates — anything load-bearing
  • MIG (metal inert gas) is the common school welder because it is the easiest to learn: a motor feeds continuous wire through the torch as both electrode and filler, and a shielding gas flows around it to keep oxygen away from the molten pool. Squeeze the trigger and it just keeps going, so there is no rod to feed by hand.
  • Flux does the same job as the shielding gas in soldering and brazing: it cleans the surface of oxide and stops it re-forming, so the filler can wet the metal. Nothing sticks to an oxidised surface.
  • The joint must be clean and correctly fitted before heat is applied. Paint, rust, oil and galvanising all ruin the joint — and burning them produces fume.
  • Welding hazards: the arc's ultraviolet burns eyes ("arc eye") and skin, so a helmet of the correct shade, a screened bay and covered skin are all needed; the fume needs extraction at the source; and everything you have just welded stays hot long after it stops glowing.

4.3Adhesives on metal

  • Two-part epoxy is the structural metal adhesive: resin and hardener mixed in the right ratio, curing into a rigid joint that spreads the load over the whole glued area instead of concentrating it at a rivet hole.
  • It adds no heat, so it cannot distort thin panels or destroy a heat treatment — and it can join metal to plastic or glass, which no welder can do.
  • Its price: it is weak in peel (lift one corner and it unzips), it is degraded by heat and some chemicals, and the surface must be abraded and de-greased first or it will not bond at all.

4.4Protecting the steel afterwards

Steel rusts because iron, oxygen and water react to form iron oxide, which flakes off and exposes fresh metal to do it again. There are two completely different strategies for stopping that, and the difference between them is the most-asked question in this unit.

PAINTED STEEL — a barrier Scratch — the coating is broken Paint film — a barrier coat it protects only while it is unbroken Steel the metal being protected Rust — the bare steel corrodes at once and it spreads on underneath the paint film GALVANISED STEEL — a barrier AND sacrificial protection The same scratch, through the zinc Zinc coating — the galvanising zinc is more reactive than iron Steel — still not rusting the zinc corrodes in its place Both panels are drawn cut through, so the coating and the steel beneath it can be seen.
Figure 4.1 — barrier versus sacrificial protectionPaint is only a barrier: scratch it and the steel underneath rusts immediately, and the rust creeps along beneath the film, lifting more of it. Galvanising is a barrier too — but zinc is more reactive than iron, so at a scratch the zinc corrodes instead of the steel, and keeps protecting the bare metal next to it until the zinc is used up. That is sacrificial protection, and it is why a galvanised bolt survives a scratch that would start rust on a painted one.
TreatmentHow it protectsWhat happens at a scratchTypical use
Primer + topcoat paintBarrier only — the primer grips and inhibits corrosion, the topcoat seals and coloursThe exposed steel rusts, and the rust spreads under the filmIndoor and light outdoor steel; anywhere colour matters
Hot-dip galvanisingBarrier plus sacrificial protection — the zinc corrodes preferentiallyThe steel keeps being protected until the surrounding zinc is consumedOutdoor structures, fencing, trailers, roof sheet, marine-adjacent work
Powder coatingA thick, tough, baked-on polymer barrierBarrier only — a deep scratch will rust, so steel is often galvanised first, then powder coatedFurniture, gates, machine covers, anything wanting a hard coloured finish
Oil, grease or wax filmA temporary barrier keeping water and oxygen offWipes off — it must be renewedMachine beds, tools, short-term storage of bright steel
Never weld or grind galvanised steel without extraction

Heating zinc drives off zinc oxide fume, which causes metal fume fever — hours of shivering, aching and fever after the job. The correct practice is to grind the zinc back from the weld area first, work with extraction at the source and good ventilation, and re-coat the bare area afterwards with a zinc-rich paint.

Start hereQCAA BiologyGeneral · Units 1–2

Life, from one membrane to a whole body.

Senior Biology starts small and works outward: the cell and its membrane, the chemistry that keeps it powered, the exchange surfaces a large body needs, and the feedback loops that hold everything inside its tolerance limits. Four units, mapped straight onto Units 1 and 2 of the QCAA syllabus.

The mapFour topics, two units

  1. Cells as the basis of life (Unit 1, Topic 1) — cell theory, prokaryotes and eukaryotes, the fluid mosaic membrane, the five ways things cross it, and why surface area to volume sets a hard limit on cell size.
  2. Cellular energy (Unit 1, Topic 2) — enzymes and the active site, what temperature and pH really do to them, photosynthesis and aerobic respiration as balanced equations, and the anaerobic pathways.
  3. Exchange and transport (Unit 2, Topic 1) — what every gas exchange surface has in common, xylem and phloem, the transpiration stream, and why a large animal cannot survive on diffusion alone.
  4. Homeostasis and regulation (Unit 2, Topic 2) — the negative feedback loop named part by part, then thermoregulation, osmoregulation and the kidney, and blood glucose control.
What this course is assessed on

Senior Biology marks explanation, not recall. A full-mark answer names the structure, states the process, and links the two: "the alveolar wall is one cell thick, so the diffusion distance is short, so oxygen crosses quickly." Every unit here is written to practise that chain.

Unit 1 · Topic 1QCAA BiologyCells as the basis of life

Cells as the basis of life

Every living thing is cells, and every cell is defined by a membrane that decides what gets in and out. Get the membrane right and most of the rest of this course follows.

1.1Cell theory, stated properly

At senior level the cell theory has three parts, and you are expected to give all three:

  1. All living things are composed of one or more cells.
  2. The cell is the basic unit of structure and function in living things.
  3. All cells arise from pre-existing cells by cell division.

The third part is the one that did the real work historically: it ended spontaneous generation. It is also the part that viruses fail — a virus is not made of cells and cannot divide on its own, which is exactly why "is a virus alive?" is a live argument rather than a trick question.

1.2Prokaryotic and eukaryotic cells

FeatureProkaryotic cellEukaryotic cell
NucleusNone — DNA sits free in a nucleoid regionPresent, enclosed by a double membrane
DNAOne circular chromosome; often plasmids as wellSeveral linear chromosomes wound around histone proteins
Membrane-bound organellesNoneMitochondria, endoplasmic reticulum, Golgi, lysosomes, and chloroplasts in plants
Ribosomes in the cytosolSmaller, 70SLarger, 80S
Typical sizeAbout 0.1–5 µm acrossAbout 10–100 µm across
ExamplesBacteria, archaeaAnimals, plants, fungi, protists

Both kinds share the essentials: a plasma membrane, cytosol, ribosomes, and DNA as the genetic material. That shared list is the evidence for common ancestry, and it is worth a mark on its own.

1.3The membrane: the fluid mosaic model

Phosphate head Fatty acid tails hydrophilic: faces water hydrophobic: repel water Channel protein Glycoprotein Carrier protein a water-filled pore for ions and other polar molecules its sugar chain is an ID tag changes shape to move one specific molecule across OUTSIDE THE CELL INSIDE THE CELL
Figure 1.1 — the fluid mosaic model"Mosaic" because proteins are scattered through the bilayer rather than forming a layer of their own; "fluid" because the phospholipids and many of the proteins drift sideways within their leaflet. Cholesterol molecules (not drawn) sit between the tails and steady that fluidity — they stop the membrane going stiff when it is cold and going too leaky when it is warm.

A phospholipid is a two-faced molecule: a hydrophilic phosphate head and two hydrophobic fatty acid tails. In water they arrange themselves automatically, tails inward and heads outward, into a bilayer. The consequence is the single most useful fact in the topic: the middle of the membrane is oily, so small non-polar molecules slip straight through, and charged or polar ones cannot — they need a protein.

1.4Five ways across the membrane

ProcessDirectionProtein needed?ATP needed?Example
Simple diffusionDown the concentration gradientNo — straight through the bilayerNoO₂ and CO₂ at the alveoli
Facilitated diffusionDown the concentration gradientYes — a channel or carrierNoGlucose entering a red blood cell
OsmosisWater moves to where water is less concentrated (lower water potential)Faster through aquaporin channelsNoWater entering a root hair cell
Active transportAgainst the concentration gradientYes — a carrier that changes shapeYesThe sodium–potassium pump in a neuron
Endocytosis / exocytosisBulk quantities in / outThe membrane itself folds and pinchesYesA white blood cell engulfing a bacterium
The two marks students throw away

Osmosis is not "water moving from high to low concentration". Water moves from the more dilute solution to the more concentrated one — that is from high water potential to low water potential. Say it in terms of water, not "concentration", and you cannot get it backwards.

Facilitated diffusion is still passive. Using a protein does not make it active. The only thing that makes transport "active" is moving something against its gradient using ATP.

1.5Surface area to volume: the constraint

Everything a cell needs enters through its surface; everything it makes leaves the same way. But if you double a cell's linear size, its surface area goes up by a factor of 2² = 4 while its volume goes up by 2³ = 8. Demand outruns supply. For a cube of side L, surface area is 6L² and volume is L³, so the ratio is exactly 6 ÷ L:

Side length LSurface area 6L²Volume L³SA : V ratio
1616 : 1
22483 : 1
354272 : 1
496641.5 : 1
62162161 : 1

So cells stay small and divide. Where a cell must be big, it cheats on the geometry instead: a root hair cell grows a long thin projection, and a cell lining the small intestine grows microvilli — both raise surface area without raising volume much. Multicellular bodies cheat the same way, with lungs and gills and leaves.

Unit 1 · Topic 2QCAA BiologyCellular energy

Cellular energy: enzymes, photosynthesis, respiration

Life runs on reactions that would otherwise be far too slow, and on two great opposing equations. This topic is where marks are won by writing formulae correctly and explaining denaturation properly.

2.1Enzymes and the active site

An enzyme is a biological catalyst — almost always a protein — that speeds a reaction up by lowering its activation energy, and is not used up in the process. The reactant it works on is the substrate; the small pocket it binds to is the active site.

Specificity comes from shape and chemistry together. The active site's shape is produced by the protein's folded tertiary structure, and its exposed side groups give it a particular pattern of charge. Only a substrate that is complementary on both counts will bind. The modern description is induced fit: the active site moulds slightly around the substrate as the enzyme–substrate complex forms, which strains the bonds that are about to break.

1 — SPECIFICITY the substrate fits the active site Active site a bay only one substrate fits Substrate the reactant molecule 2 — COMPLEX FORMED held in place while it reacts 3 — DENATURED heat or extreme pH changed the shape Substrate The active site has lost its shape, so the substrate can no longer bind.
Figure 2.1 — specificity and denaturationDenaturing does not break the chain of amino acids. It breaks the weak hydrogen and ionic bonds that hold that chain folded, so the tertiary structure — and with it the active site — changes shape. The enzyme is still there; it just no longer fits anything.

2.2What temperature and pH actually do

ConditionWhat happens to the rateThe explanation the marker wants
Temperature below the optimumRate rises as temperature risesMolecules gain kinetic energy, so enzyme and substrate collide more often and with enough energy to react
Temperature above the optimumRate falls sharply, and does not recover on coolingVibration breaks the hydrogen and ionic bonds holding the tertiary structure; the active site changes shape and can no longer bind the substrate — denaturation
pH at the optimumMaximum rateCharges on the side groups in the active site are exactly right for binding the substrate
pH away from the optimumRate falls; far from it, the fall is permanentExcess H⁺ or OH⁻ changes the charge on those side groups, breaking ionic bonds and distorting the active site

Optima are set by where the enzyme has to work. Most human enzymes peak near 37 °C; pepsin in the stomach peaks near pH 2, while trypsin in the small intestine peaks near pH 8. Two enzymes doing the same job (breaking down protein) with opposite pH optima is the cleanest possible evidence that the optimum is an adaptation, not a property of "enzymes" in general.

2.3Photosynthesis and aerobic respiration

PhotosynthesisAerobic respiration
Summary equation6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂C₆H₁₂O₆ + 6O₂ → 6CO₂ + 6H₂O
WhereChloroplast — light reactions in the thylakoid membranes, the Calvin cycle in the stromaGlycolysis in the cytosol; the Krebs cycle and electron transport chain in the mitochondrion
EnergyLight energy is converted to chemical energy stored in glucoseChemical energy in glucose is transferred to ATP, the cell's usable currency
RequiresLight and chlorophyllOxygen
YieldOne glucose per six CO₂About 30–32 ATP per glucose (older texts quote 36–38)
Who does itPlants, algae, cyanobacteriaPlants and animals — every aerobic cell, all the time
Do not write "plants respire at night"

Plants respire all the time, day and night, in every living cell. What changes in daylight is that photosynthesis runs as well, and usually faster — so the net exchange with the air reverses. Say "in the light, photosynthesis exceeds respiration, so the plant is a net absorber of CO₂".

2.4When the oxygen runs out

Glycolysis alone yields a net 2 ATP per glucose and needs no oxygen. What follows depends on the organism:

  • Animals (lactic acid fermentation). C₆H₁₂O₆ → 2C₃H₆O₃ + energy (net 2 ATP). The lactic acid builds up in working muscle and is later oxidised or converted back to glucose in the liver.
  • Yeast and plants (alcoholic fermentation). C₆H₁₂O₆ → 2C₂H₅OH + 2CO₂ + energy (net 2 ATP). This is the reaction behind bread and brewing — the CO₂ raises the dough, the ethanol does the rest.
  • Both are far less efficient. 2 ATP against roughly 30–32 from aerobic respiration, because the glucose is only partly broken down — lactic acid and ethanol still hold most of the original energy.
Unit 2 · Topic 1QCAA BiologyExchange & transport

Multicellular organisms: exchange and transport

A single cell exchanges everything across its own surface. A gum tree and a human cannot — so both evolved a huge folded exchange surface and a plumbing system to reach the cells that are nowhere near it.

3.1Why size forces the issue

Diffusion is quick over micrometres and hopeless over centimetres — the time it takes rises with the square of the distance. Combine that with the falling surface-area-to-volume ratio of a large body and you get the two requirements every big organism must meet: a specialised exchange surface with a large area, and a transport system to carry substances between that surface and every cell.

3.2What every gas exchange surface has in common

Shared featureWhy it mattersHow it looks in real organisms
Large surface areaDiffusion rate is proportional to area — more area, more molecules crossing per second~300 million alveoli in human lungs; stacked gill lamellae in a fish; spongy mesophyll air spaces in a leaf
Thin — often one cell thickA short diffusion distance means fast exchangeAlveolar wall and capillary wall are each a single flattened cell
MoistGases must dissolve before they can diffuse across a membraneThe film of fluid lining every alveolus; gills work in water; leaf mesophyll walls are wet
PermeableO₂ and CO₂ are small and non-polar, so they cross the bilayer by simple diffusionNo barrier layer of cuticle or keratin over the surface
A steep gradient, kept steepIf the gradient collapsed, net diffusion would stopVentilation refreshes the air; blood flow removes O₂ as fast as it arrives; fish gills use countercurrent flow

3.3Transport in plants: xylem and phloem

XylemPhloem
CarriesWater and dissolved mineral ionsSucrose and amino acids (the assimilates)
DirectionUpward only, root to leafEither way, from a source to a sink
CellsDead at maturity — hollow tubes, no end walls, walls thickened with ligninLiving sieve tube elements with perforated sieve plates, each supported by a companion cell
Driven byTranspiration pull — evaporation at the leaf, no ATP usedActive loading of sucrose at the source, which requires ATP

3.4The transpiration stream

Spongy mesophyll water evaporates from the wet cell walls into the air spaces Stoma water vapour diffuses out here Xylem dead, hollow vessels; water is pulled up as one continuous column Root hair cells water enters by osmosis SOIL
Figure 3.1 — the transpiration streamNothing pumps this water. Evaporation at the leaf lowers the pressure at the top of the xylem, and because water molecules are held to each other by cohesion (hydrogen bonding) and to the vessel walls by adhesion, the whole column is dragged up as one thread. That is the cohesion–tension explanation, and it is worth naming.

Transpiration is the price of photosynthesis: stomata must open to let CO₂ in, and water vapour escapes through the same pores. Guard cells control the trade — they take in water and swell to open the stoma, and lose water to close it. Transpiration rate rises with light, temperature and wind, and falls as humidity rises.

3.5Transport in animals

  • Mammals have a closed, double circulation: blood stays inside vessels, and passes through the heart twice per circuit — once to the lungs (pulmonary), once to the body (systemic).
  • The point of the double circuit is pressure. Blood is slowed by the fine capillaries of the lungs, so it returns to the heart to be re-pressurised before being sent round the body.
  • Arteries carry blood away from the heart: thick muscular and elastic walls, narrow lumen, high pressure, no valves (except at the heart itself).
  • Veins carry blood back: thin walls, wide lumen, low pressure, and valves to stop backflow.
  • Capillaries are built for exchange, not transport: walls one cell thick, an enormous total surface area, and slow flow that gives substances time to diffuse.
  • Haemoglobin loads O₂ where the partial pressure of oxygen is high (the lungs) and unloads it where it is low and CO₂ is high (respiring tissue) — the gradient does the work at both ends.
Unit 2 · Topic 2QCAA BiologyHomeostasis & regulation

Homeostasis: holding the inside steady

Enzymes only work inside narrow limits of temperature, pH and water concentration — so a body that wants working enzymes has to control its own internal conditions. One loop, five named parts, applied three times.

4.1The negative feedback loop

Homeostasis is the maintenance of a relatively constant internal environment within narrow tolerance limits, despite changes outside. It is achieved by negative feedback: a change is detected and a response is triggered that opposes it, pushing the variable back towards its set point. Name all five parts and you cannot lose the marks.

STIMULUS RECEPTOR CONTROL CENTRE EFFECTOR RESPONSE the variable moves outside its normal range detects the change (skin thermoreceptors) compares it with the set point (the hypothalamus) the muscle or gland that acts (sweat glands, arterioles) the variable is pushed back towards the set point Negative feedback the response reverses the change and removes the stimulus
Figure 4.1 — the five named parts"Negative" does not mean bad. It means the response acts in the opposite direction to the change, which is what makes the loop self-correcting. Positive feedback does the reverse and amplifies a change — useful for finishing something fast (blood clotting, childbirth contractions), useless for holding a value steady.

4.2Thermoregulation

The control centre is the hypothalamus, which compares blood temperature (and signals from skin thermoreceptors) with a set point near 37 °C.

EffectorToo hot — responseToo cold — response
Skin arteriolesVasodilation — more blood flows near the surface, so more heat is lost by radiationVasoconstriction — blood is kept away from the surface, conserving heat
Sweat glandsSecrete sweat; its evaporation removes latent heat from the skinLittle or no sweat produced
Erector muscles / hairHairs lie flat, so no insulating layer of air is trappedHairs are pulled upright, trapping a layer of still air
MetabolismMetabolic rate falls, so less heat is generatedMetabolic rate rises (thyroxine, adrenaline); shivering — involuntary skeletal muscle contraction — releases heat
"Sweating cools you down" is only half a mark

Sweat sitting on skin cools nothing. It is the evaporation that cools: turning liquid water into vapour takes latent heat, and that energy comes from the skin. That is also why sweating works badly in humid air — evaporation is slow when the air is already near saturation.

4.3Osmoregulation and the kidney

The functional unit of the kidney is the nephron, and it works in three stages:

  1. Ultrafiltration at the glomerulus. Blood pressure forces water, ions, glucose, amino acids and urea out through the capillary wall into the Bowman's capsule. Blood cells and plasma proteins are too large to pass.
  2. Selective reabsorption, mostly in the proximal convoluted tubule. All the glucose and amino acids and most of the water and ions are taken back into the blood — glucose and Na⁺ by active transport, water by osmosis following them.
  3. Regulated reabsorption in the distal convoluted tubule and collecting duct. This is the stage under hormonal control, and it is what makes urine concentrated or dilute. The loop of Henle maintains the salt gradient in the medulla that makes this possible.

The loop itself: osmoreceptors in the hypothalamus detect a rise in blood solute concentration. The posterior pituitary releases ADH (antidiuretic hormone). ADH makes the collecting duct walls more permeable to water by inserting aquaporin channels, so more water is reabsorbed and a small volume of concentrated urine is produced — which restores the blood's water concentration and switches ADH off. Drink a litre of water and the whole loop runs in reverse: less ADH, a less permeable duct, and a large volume of dilute urine.

4.4Blood glucose regulation

The set point is roughly 4–6 mmol L⁻¹. Both the receptor and the control centre are in the pancreas — the islets of Langerhans detect blood glucose directly and secrete the hormone themselves.

Blood glucose too HIGH (after a meal)Blood glucose too LOW (fasting, exercise)
Detected byBeta cells of the islets of LangerhansAlpha cells of the islets of Langerhans
Hormone releasedInsulinGlucagon
Target and effectLiver, muscle and fat cells take glucose up faster; the liver converts glucose to glycogen (glycogenesis)The liver breaks glycogen back down to glucose (glycogenolysis) and releases it into the blood
ResultBlood glucose falls back towards the set pointBlood glucose rises back towards the set point
Worth knowing

Type 1 diabetes: the beta cells are destroyed, so little or no insulin is made — treated with injected insulin. Type 2 diabetes: insulin is made but target cells respond poorly to it (insulin resistance) — managed with diet, exercise and medication. Both show up as blood glucose that stays high after a meal instead of returning to the set point, which is exactly a broken negative feedback loop.

Start hereQCAA ChemistryGeneral · Units 1–2

From one atom to a counted reaction.

Senior Chemistry is built in one direction: what an atom is, how atoms hold together, what happens to the energy when those bonds are rearranged, and finally how to count the particles involved. Four topics, mapped straight onto Units 1 and 2 of the QCAA syllabus.

The mapFour topics, two units

  1. Properties and structure of atoms (Unit 1, Topic 1) — subatomic particles, isotopes and weighted relative atomic mass, electron configuration in shells and subshells, and the four periodic trends with the reasons behind them.
  2. Bonding and materials (Unit 1, Topic 2) — ionic, covalent, polar covalent and metallic bonding; the three intermolecular forces; and how structure explains melting point, conductivity and hardness.
  3. Chemical reactions (Unit 2, Topic 1) — balancing full and ionic equations, exothermic and endothermic changes, enthalpy signs, activation energy and catalysts.
  4. Quantifying chemistry (Unit 2, Topic 2) — the mole, molar mass, concentration, dilution, limiting reagent and percentage yield, all with exact working.
Values used throughout this course

Avogadro's constant NA = 6.02 × 10²³ mol⁻¹. Relative atomic masses are the standard periodic-table values: H 1.008, C 12.01, N 14.01, O 16.00, Na 22.99, Mg 24.31, S 32.06, Cl 35.45, Ca 40.08. Every calculation on this site is worked with those figures, so your answers should match to the last digit.

Unit 1 · Topic 1QCAA ChemistryProperties & structure of atoms

Properties and structure of atoms

Everything the periodic table does — every trend, every bond, every reaction — comes from where the electrons are and how tightly the nucleus is holding them.

1.1The three subatomic particles

ParticleRelative chargeRelative massWhere it is
Proton+11In the nucleus
Neutron01In the nucleus
Electron−1about 1/1836In shells around the nucleus
  • The atomic number Z is the number of protons. It is what makes an element that element — change it and you have changed the element.
  • The mass number A is protons + neutrons. So neutrons = AZ.
  • A neutral atom has electrons = protons. An ion does not: Na⁺ has 11 protons and 10 electrons; Cl⁻ has 17 protons and 18 electrons.
  • Nearly all the mass is in the nucleus; nearly all the volume is the electron cloud. Both statements are worth marks in an atomic-model question.

1.2Isotopes and relative atomic mass

Isotopes are atoms of the same element (same number of protons) with different numbers of neutrons. They are chemically almost identical, because chemistry is done by electrons, but they have different masses.

The relative atomic mass (Ar) on the periodic table is therefore not a whole number: it is the weighted average of the isotope masses, weighted by natural abundance, on a scale where one carbon-12 atom is exactly 12.

Worked example — the relative atomic mass of chlorine

Chlorine is 75.76% chlorine-35 (isotopic mass 34.969) and 24.24% chlorine-37 (isotopic mass 36.966).

Ar = (34.969 × 0.7576) + (36.966 × 0.2424)

= 26.4925 + 8.9606

= 35.45 (to 2 decimal places) — exactly the value printed on the periodic table.

Notice the answer sits closer to 35 than to 37, because the lighter isotope is three times as common. Use that as your sanity check: the weighted average always leans towards the more abundant isotope.

1.3Where the electrons go

The simple shell model fills 2, then 8, then 8 for the first twenty elements: sodium (11) is 2, 8, 1 and calcium (20) is 2, 8, 8, 2. It is enough to predict ion charges, but it does not explain why the fourth shell starts filling before the third is full.

The subshell model does. Each shell is divided into subshells: s holds 2 electrons, p holds 6, d holds 10. They fill in order of energy, which is 1s 2s 2p 3s 3p 4s 3d 4p — note that 4s fills before 3d.

ElementZShell notationSubshell notation
Oxygen82, 61s² 2s² 2p⁴
Sodium112, 8, 11s² 2s² 2p⁶ 3s¹
Chlorine172, 8, 71s² 2s² 2p⁶ 3s² 3p⁵
Calcium202, 8, 8, 21s² 2s² 2p⁶ 3s² 3p⁶ 4s²

The electrons in the outermost shell are the valence electrons, and they are the only ones that do chemistry. Sodium loses its single 3s electron to reach the configuration of neon; chlorine gains one to fill 3p and reach the configuration of argon. That single fact explains the whole of ionic bonding.

1.4Periodic trends, with the reasons

Two competing effects explain almost every trend. Going across a period, protons are added while electrons go into the same shell, so nuclear attraction on the outer electrons rises. Going down a group, a whole new shell is added, so outer electrons are further away and shielded from the nucleus by the filled inner shells.

TrendAcross a period (left to right)Down a groupBecause
Atomic radiusDecreasesIncreasesAcross: more protons pulling the same shell in tighter. Down: each period adds a shell, and shielding weakens the pull on it
First ionisation energyIncreasesDecreasesThe outer electron is held more tightly when it is close to a highly charged nucleus, and loosely when it is far away and shielded
ElectronegativityIncreasesDecreasesSame reasoning applied to a shared pair: a small atom with a high nuclear charge pulls bonding electrons hardest
Metallic characterDecreasesIncreasesMetals are the atoms that lose electrons easily — exactly the ones with low ionisation energy
Do not stop at "it increases"

A trend question is marked on the reason. "Ionisation energy increases across period 3" is worth nothing on its own. "Ionisation energy increases across period 3 because nuclear charge rises while the outer electrons stay in the same shell, so they are held more tightly and more energy is needed to remove one" is the full-mark answer.

Fluorine is the most electronegative element (4.0 on the Pauling scale), which is exactly what "top right of the table, excluding the noble gases" predicts.

Unit 1 · Topic 2QCAA ChemistryBonding & materials

Bonding and materials

Why does salt melt at 801 °C and candle wax at 60 °C? Why does copper conduct and diamond not? Every one of those questions is answered the same way: name the structure, name the forces, then explain what breaking them costs.

2.1The three bonding types

IonicCovalentMetallic
BetweenMetal + non-metalNon-metal + non-metalMetal + metal
What electrons doTransferred from metal to non-metalShared as pairs between two nucleiDelocalised into a sea shared by all the cations
Held together byElectrostatic attraction between oppositely charged ions, in a 3D latticeAttraction of both nuclei for the shared pairAttraction of the cation lattice for the electron sea
Melting pointHigh — NaCl melts at 801 °CMolecular: low. Network (diamond, SiO₂): very highUsually high — copper melts at 1085 °C
Conducts electricity?Not as a solid (ions fixed); yes when molten or dissolvedNo — no free charges. Graphite is the exceptionYes, solid or molten — the electrons are mobile
Mechanical behaviourHard but brittle: shift a layer and like charges meet, so it shattersMolecular solids are soft; networks are extremely hardMalleable and ductile: layers slide without breaking the non-directional bonding

2.2When sharing is unequal

Cl Cl H Cl NON-POLAR COVALENT POLAR COVALENT δ+ δ− shared pair shared pair Cl–Cl: identical atoms pull equally so there are no partial charges H–Cl: chlorine pulls harder so the bond has partial charges sits exactly midway pulled closer to the Cl atom
Figure 2.1 — polar and non-polar covalent bondsThe difference is electronegativity. Two identical atoms pull equally, so the pair sits midway and the bond is non-polar. Chlorine (3.16) pulls harder than hydrogen (2.20), so the pair drifts towards chlorine, giving it a partial negative charge (δ−) and leaving hydrogen partially positive (δ+). A rough guide: an electronegativity difference under about 0.4 is non-polar, roughly 0.4 to 1.7 is polar covalent, and above about 1.7 the electron is effectively transferred and the bond is ionic.
Polar bond does not always mean polar molecule

CO₂ contains two strongly polar C=O bonds, yet the molecule is non-polar — it is linear, so the two bond dipoles point in exactly opposite directions and cancel. H₂O has the same kind of polar bonds but is bent, so they do not cancel and the molecule has a net dipole. Always check the shape before you call a molecule polar.

2.3The forces between molecules

When a molecular substance melts or boils, the covalent bonds inside the molecules are untouched. What breaks is the much weaker attraction between molecules — which is why boiling water gives you steam made of intact H₂O molecules, not loose hydrogen and oxygen.

ForceOccurs betweenRelative strengthEvidence
Dispersion forces
(London forces)
All molecules — caused by instantaneous, temporary dipoles in the electron cloudWeakest, but they grow rapidly with the number of electrons and with contact areaThe halogens: F₂ boils at −188 °C, Cl₂ at −34 °C, Br₂ at 59 °C, I₂ at 184 °C — identical bonding, more electrons
Dipole–dipolePolar molecules only — the δ+ of one attracts the δ− of the nextStronger than dispersion for molecules of similar sizePropanone boils at 56 °C but butane, of similar mass, boils at −0.5 °C
Hydrogen bondingOnly when H is bonded directly to N, O or F, and is attracted to a lone pair on the N, O or F of another moleculeStrongest of the three (still far weaker than a covalent bond)Water boils at 100 °C; H₂S, a bigger molecule with no hydrogen bonding, boils at −60 °C

Notice how the alkanes behave: methane boils at −162 °C, ethane at −89 °C, propane at −42 °C, butane at −0.5 °C. Same bonding, same kind of intermolecular force — only the number of electrons and the surface area available for contact change. That is dispersion forces getting stronger, and it explains why petrol is a liquid and natural gas is not.

Unit 2 · Topic 1QCAA ChemistryReactions & energy

Chemical reactions: reactants, products and energy

A chemical equation is an accounting statement: no atom is created or destroyed, so every element must balance. Then there is the energy ledger, which balances too — it just moves between the chemicals and their surroundings.

3.1Balancing, properly

You may only change the coefficients in front of formulae. Changing a subscript changes the substance — turning H₂O into H₂O₂ balances nothing, it produces hydrogen peroxide. Work through metals, then non-metals, then hydrogen, then oxygen last, and finish by counting every element on both sides.

ReactionBalanced equationCheck
Burning methaneCH₄ + 2O₂ → CO₂ + 2H₂OC 1 / 1, H 4 / 4, O 4 / 4
Burning propaneC₃H₈ + 5O₂ → 3CO₂ + 4H₂OC 3 / 3, H 8 / 8, O 10 / 10
Burning butane2C₄H₁₀ + 13O₂ → 8CO₂ + 10H₂OC 8 / 8, H 20 / 20, O 26 / 26
Making ammoniaN₂ + 3H₂ → 2NH₃N 2 / 2, H 6 / 6
Rusting iron4Fe + 3O₂ → 2Fe₂O₃Fe 4 / 4, O 6 / 6
Extracting ironFe₂O₃ + 3CO → 2Fe + 3CO₂Fe 2 / 2, C 3 / 3, O 6 / 6
Acid on a carbonateCaCO₃ + 2HCl → CaCl₂ + H₂O + CO₂Ca 1 / 1, C 1 / 1, O 3 / 3, H 2 / 2, Cl 2 / 2
Acid on a metalZn + 2HCl → ZnCl₂ + H₂Zn 1 / 1, H 2 / 2, Cl 2 / 2

3.2Ionic and net ionic equations

In solution, soluble ionic compounds are not really molecules — they are separated ions drifting about. Writing them out shows which ions actually react and which are just watching. Those bystanders are the spectator ions, and a net ionic equation leaves them out.

  1. Full equation. AgNO₃(aq) + NaCl(aq) → AgCl(s) + NaNO₃(aq)
  2. Complete ionic. Ag⁺(aq) + NO₃⁻(aq) + Na⁺(aq) + Cl⁻(aq) → AgCl(s) + Na⁺(aq) + NO₃⁻(aq) — note the solid is not split up, because it is not dissolved.
  3. Cancel the spectators. Na⁺ and NO₃⁻ appear unchanged on both sides.
  4. Net ionic. Ag⁺(aq) + Cl⁻(aq) → AgCl(s)

Two more you should know by heart. Any strong-acid, strong-base neutralisation reduces to H⁺(aq) + OH⁻(aq) → H₂O(l). Any barium sulfate precipitation reduces to Ba²⁺(aq) + SO₄²⁻(aq) → BaSO₄(s). The full equation H₂SO₄ + 2NaOH → Na₂SO₄ + 2H₂O collapses to that same one-line net ionic equation.

3.3Energy: the profile diagram

EXOTHERMIC energy released to the surroundings Energy Progress of reaction the peak: the transition state Ea activation energy Reactants reactant level ΔH negative Products ENDOTHERMIC energy absorbed from the surroundings Energy Progress of reaction the peak: the transition state Ea activation energy Products ΔH positive Reactants reactant level
Figure 3.1 — energy profilesEa is measured from the reactant level up to the peak; ΔH is measured from the reactant level to the product level, and its sign is decided by which is higher. The dashed lines simply carry each level across so both quantities can be measured. Note that the endothermic reaction has the larger activation energy here, and that every reaction, exothermic or not, has one — bonds must be broken before new ones can form.

3.4Signs, and what a catalyst does

ExothermicEndothermic
Energy flowReleased to the surroundingsAbsorbed from the surroundings
Enthalpy change ΔHNegative — products hold less energy than reactantsPositive — products hold more energy than reactants
The surroundingsGet warmerGet colder
Bond energy balanceMore energy released forming bonds than was used breaking themMore energy used breaking bonds than was released forming them
ExamplesCombustion, respiration, neutralisation, most metal–acid reactionsPhotosynthesis, thermal decomposition of CaCO₃, dissolving ammonium nitrate

Complete combustion of methane is written CH₄(g) + 2O₂(g) → CO₂(g) + 2H₂O(l), ΔH = −890 kJ mol⁻¹. The minus sign is not decoration — it is the statement that 890 kJ leaves the chemicals for every mole of methane burned.

What a catalyst does, and what it does not

A catalyst provides an alternative reaction pathway with a lower activation energy, so a greater fraction of collisions have enough energy to react and the rate rises. It is not consumed, and it can be recovered chemically unchanged.

What it does not do: it does not change ΔH, it does not lower the energy of the reactants or products, and it does not "give the reaction energy". On the profile diagram it lowers the peak only — both levels stay exactly where they were.

Unit 2 · Topic 2QCAA ChemistryQuantifying chemistry

Quantifying chemistry: the mole

A balanced equation counts particles, but a balance counts grams. The mole is the bridge between them, and this topic is where senior Chemistry stops being descriptive and starts being arithmetic you must get exactly right.

4.1The mole and the four formulae

One mole is 6.02 × 10²³ particles — Avogadro's constant, NA. The number is chosen so that one mole of a substance has a mass in grams equal to its relative formula mass. That is the whole trick.

FormulaRearrangedUnitsUse it when
n = m ÷ Mm = n × M  ·  M = m ÷ nm in g, M in g mol⁻¹, n in molYou have a mass, or you want one
N = n × NAn = N ÷ NAN is a count of particlesThe question asks "how many atoms/molecules/ions"
c = n ÷ Vn = c × V  ·  V = n ÷ cc in mol L⁻¹, V in litresAnything in solution. Convert mL to L first, every time
c₁V₁ = c₂V₂c₂ = c₁V₁ ÷ V₂Any consistent volume unitDiluting — the moles of solute do not change

4.2Molar mass, worked

Add up the relative atomic masses in the formula. Using H 1.008, C 12.01, N 14.01, O 16.00, Na 22.99, S 32.06, Cl 35.45 and Ca 40.08:

SubstanceWorkingM (g mol⁻¹)
H₂O2(1.008) + 16.00 = 2.016 + 16.0018.02
CO₂12.01 + 2(16.00) = 12.01 + 32.0044.01
NaCl22.99 + 35.4558.44
NaOH22.99 + 16.00 + 1.008 = 39.99840.00
H₂SO₄2(1.008) + 32.06 + 4(16.00) = 2.016 + 32.06 + 64.0098.08
CaCO₃40.08 + 12.01 + 3(16.00) = 40.08 + 12.01 + 48.00100.09
NH₃14.01 + 3(1.008) = 14.01 + 3.02417.03
C₆H₁₂O₆6(12.01) + 12(1.008) + 6(16.00) = 72.06 + 12.096 + 96.00180.16
Three worked conversions

Mass to moles. How many moles in 36.04 g of water?  n = m ÷ M = 36.04 ÷ 18.02 = 2.000 mol.

Moles to mass. What is the mass of 0.250 mol of NaCl?  m = n × M = 0.250 × 58.44 = 14.61 g.

Moles to particles. How many molecules in 2.00 mol of CO₂?  N = 2.00 × 6.02 × 10²³ = 1.20 × 10²⁴ molecules. (Each one contains three atoms, so 3.61 × 10²⁴ atoms — read the question carefully.)

4.3Concentration and dilution

  • Making a solution. 0.500 mol of solute in 250 mL. Convert: V = 0.250 L.  c = n ÷ V = 0.500 ÷ 0.250 = 2.00 mol L⁻¹.
  • Moles in a pipetted sample. 25.0 mL of 0.100 mol L⁻¹ solution.  n = c × V = 0.100 × 0.0250 = 2.50 × 10⁻³ mol.
  • Diluting. 25.0 mL of 2.00 mol L⁻¹ acid is made up to 250 mL.  c₂ = cV₁ ÷ V₂ = (2.00 × 25.0) ÷ 250 = 0.200 mol L⁻¹. Diluting ten-fold divides the concentration by ten — adding water changes the volume, never the moles of solute.

4.4Limiting reagent and percentage yield

Worked example — limiting reagent

N₂(g) + 3H₂(g) → 2NH₃(g). You start with 4.00 mol of N₂ and 9.00 mol of H₂. Which runs out first, and how much ammonia can form?

Step 1 — test one reactant against the other. 9.00 mol of H₂ would need 9.00 ÷ 3 = 3.00 mol of N₂. You have 4.00 mol, which is more than enough. So H₂ is the limiting reagent and N₂ is in excess.

Step 2 — work from the limiting reagent only. The ratio H₂ : NH₃ is 3 : 2, so n(NH₃) = 9.00 × (2 ÷ 3) = 6.00 mol.

Step 3 — convert to mass if asked. M(NH₃) = 17.03 g mol⁻¹, so m = 6.00 × 17.03 = 102 g (3 significant figures). Left over: 4.00 − 3.00 = 1.00 mol of N₂.

That 102 g is the theoretical yield — what you would get if the reaction went perfectly and nothing was lost. It never does. The percentage yield compares reality with theory:

percentage yield = (actual yield ÷ theoretical yield) × 100

If the plant above actually collects 85.0 g of ammonia, the yield is 85.0 ÷ 102 × 100 = 83.3%. Losses come from incomplete reactions, side reactions, and product left behind on the glassware — not from atoms disappearing.

The three mistakes that cost the most marks

1. Volume in millilitres. c = n ÷ V only works with V in litres. 250 mL is 0.250 L, and forgetting it makes your answer wrong by a factor of 1000.

2. Ignoring the mole ratio. The coefficients in the balanced equation are the ratio. 9.00 mol of H₂ does not make 9.00 mol of NH₃.

3. Working from the reactant in excess. Always identify the limiting reagent first; everything else follows from it alone.

Start hereQCAA PhysicsGeneral · Units 1–2

Energy, charge, motion — and the numbers behind them.

Senior Physics is a small set of equations applied with discipline: write the formula, substitute with units, solve, then check the answer is a sensible size. Four topics, mapped straight onto Units 1 and 2 of the QCAA syllabus.

The mapFour topics, two units

  1. Thermal physics (Unit 1, Topic 1) — temperature against heat, specific heat capacity, latent heat, the three transfer mechanisms, and the first law of thermodynamics.
  2. Electrical and nuclear physics (Unit 1, Topic 2) — charge, current, voltage, resistance, series and parallel circuits, power; then isotopes, alpha, beta and gamma decay, and half-life.
  3. Linear motion and force (Unit 2, Topic 1) — scalars and vectors, the SUVAT equations, Newton's three laws, free-body diagrams and friction.
  4. Momentum, energy and waves (Unit 2, Topic 2) — momentum and impulse, conservation in collisions, the work–energy theorem, and the wave model with v = fλ.
Values used throughout this course

Acceleration due to gravity near the Earth's surface: g = 9.8 m s⁻², taken as downwards positive or negative depending on the sign convention you set up — state it every time. Specific heat capacity of water c = 4180 J kg⁻¹ °C⁻¹. Latent heat of fusion of water Lf = 3.34 × 10⁵ J kg⁻¹; of vaporisation Lv = 2.26 × 10⁶ J kg⁻¹. Elementary charge e = 1.60 × 10⁻¹⁹ C. Speed of light c = 3.00 × 10⁸ m s⁻¹. Every worked answer on this site uses exactly these.

Unit 1 · Topic 1QCAA PhysicsThermal physics

Thermal physics: heat is not temperature

A spark from a sparkler is at 1000 °C and cannot hurt you. A cup of coffee is at 90 °C and can. The difference between those two sentences is the whole topic.

1.1Temperature, internal energy and heat

  • Temperature is a measure of the average kinetic energy of the particles in a substance. It does not depend on how much substance there is.
  • Internal energy is the total energy of all the particles — kinetic plus potential. A bath at 40 °C has far more internal energy than a cup at 90 °C, because it has vastly more particles.
  • Heat is energy in transit because of a temperature difference, and it always flows from hotter to colder. An object does not "contain heat"; it contains internal energy.
  • The Kelvin scale starts at absolute zero, where particle motion is minimal: 0 K = −273.15 °C, so T(K) = θ(°C) + 273.15. A change of 1 °C is the same size as a change of 1 K, which is why ΔT can be used in either unit.

1.2Specific heat capacity: Q = mcΔT

Specific heat capacity c is the energy needed to raise the temperature of 1 kg of a substance by 1 °C. Water's value of 4180 J kg⁻¹ °C⁻¹ is unusually high, which is why the ocean moderates coastal climates and why water is used as a coolant.

Worked — heating water

How much energy is needed to heat 2.0 kg of water from 20 °C to 70 °C?

ΔT = 70 − 20 = 50 °C

Q = mcΔT = 2.0 × 4180 × 50

Q = 4.18 × 10⁵ J (418 000 J, or 418 kJ)

Sanity check: a 2000 W kettle supplying that would need 418 000 ÷ 2000 = 209 s, about three and a half minutes. That is exactly how long a kettle takes.

1.3Latent heat: Q = mL

During a change of state the temperature does not change, even though energy is still going in. That energy is doing a different job: breaking the bonds between particles rather than speeding them up. The energy per kilogram is the specific latent heat — of fusion for melting and freezing, of vaporisation for boiling and condensing.

QuestionWorkingAnswer
Energy to melt 0.200 kg of ice at 0 °CQ = mLf = 0.200 × 3.34 × 10⁵6.68 × 10⁴ J
Energy to boil away 0.500 kg of water already at 100 °CQ = mLv = 0.500 × 2.26 × 10⁶1.13 × 10⁶ J
Energy to warm 0.500 kg of water by 10.0 °CQ = mcΔT = 0.500 × 4180 × 10.02.09 × 10⁴ J

Compare rows two and three: boiling that water away takes fifty times more energy than warming it by ten degrees. That is why a steam burn is so much worse than a hot-water burn — condensing steam dumps all of that latent heat into your skin before the temperature even starts to fall.

1.4Three ways heat moves

MechanismHow energy is carriedNeeds a medium?Example
ConductionParticles vibrate and collide, passing energy along; in metals, free delocalised electrons carry it far fasterYes — mainly solidsA metal spoon heating up in soup
ConvectionHeated fluid expands, becomes less dense, rises, and cooler fluid sinks to replace it — a bulk circulationYes — liquids and gases onlyA sea breeze; water circulating in a kettle
RadiationEmitted as infrared electromagnetic waves; hotter and darker surfaces emit moreNo — it crosses a vacuumThe Sun warming the Earth

1.5The first law of thermodynamics

The first law is conservation of energy written for thermal systems: ΔU = Q + W, where ΔU is the change in the system's internal energy, Q is the heat added to the system, and W is the work done on the system. State the convention before you use it, because the law is also written ΔU = Q − W when W means work done by the system — same physics, opposite bookkeeping.

Two consequences worth knowing. A bicycle pump gets hot when you compress the air quickly: you do work on the gas, almost no heat escapes in the time available, so ΔU rises and the temperature climbs. And a perpetual motion machine of the first kind is impossible, because it would have to create internal energy from nothing.

Unit 1 · Topic 2QCAA PhysicsElectrical & nuclear physics

Electrical and nuclear physics

Two topics that share a theme: what the nucleus does, and what its outermost electrons do when you push them. Both are dominated by a handful of exact equations.

2.1Charge, current, voltage, resistance

QuantitySymbolEquationUnitIn words
Chargeqq = Itcoulomb (C)One electron carries 1.60 × 10⁻¹⁹ C, so one coulomb is 6.25 × 10₁⁸ electrons
CurrentII = q ÷ tampere (A)The rate of flow of charge: one amp is one coulomb per second
Potential differenceVV = W ÷ qvolt (V)Energy transferred per coulomb: one volt is one joule per coulomb
ResistanceRR = V ÷ Iohm (Ω)How strongly a component opposes current
PowerPP = VI = I²R = V² ÷ Rwatt (W)The rate at which energy is transferred; energy E = Pt

Quick checks. A charge of 60 C passing in 20 s is a current of 60 ÷ 20 = 3.0 A. A 240 V appliance drawing 2.5 A uses P = 240 × 2.5 = 600 W, so in 120 s it transfers E = 600 × 120 = 7.2 × 10⁴ J.

2.2Series and parallel

SERIES PARALLEL R₁ = 4.0 Ω R₂ = 6.0 Ω R₁ = 4.0 Ω R₂ = 6.0 Ω 12 V 12 V one path — the same current everywhere two paths — the same voltage across each R total = 4.0 + 6.0 = 10.0 Ω I = 12 V ÷ 10.0 Ω = 1.2 A everywhere V₁ = 4.8 V, V₂ = 7.2 V — they add to 12 V 1/R = 1/4.0 + 1/6.0 = 5/12 R total = 12/5 = 2.4 Ω I₁ = 3.0 A, I₂ = 2.0 A, total 5.0 A
Figure 2.1 — the same two resistors, two waysIn series the resistances add, so the total is always larger than either one. In parallel you add the reciprocals, so the total is always smaller than the smallest branch — because you have given the current an extra route. If a parallel answer comes out bigger than the smallest resistor, you have forgotten to invert 5/12 back into 12/5.
SeriesParallel
Total resistanceR = R₁ + R₂1/R = 1/R₁ + 1/R₂
CurrentThe same through every componentSplits between branches, then adds back
VoltageDivides between components, adding to the supplyThe same across every branch
Remove one componentEverything stops — one path onlyThe other branch keeps working

2.3Nuclear physics: what unstable nuclei do

A nucleus is written AZX: A is the mass number (protons + neutrons), Z is the atomic number (protons). Isotopes share Z and differ in A. When the ratio of neutrons to protons makes a nucleus unstable, it decays — and in every nuclear equation, the mass numbers must balance and the atomic numbers must balance.

DecayEmittedEffect on the nucleusExampleStopped by
Alpha (α)A helium nucleus, 42HeA falls by 4, Z falls by 223892U → 23490Th + 42HeA sheet of paper; a few cm of air. Most ionising
Beta-minus (β⁻)An electron, 0−1e (a neutron becomes a proton)A unchanged, Z rises by 1146C → 147N + 0−1eA few mm of aluminium
Gamma (γ)A high-energy photonA and Z both unchanged — the nucleus just loses excess energy6028Ni* → 6028Ni + γOnly reduced — by thick lead or concrete. Least ionising

Two more to be able to write from memory: 22688Ra → 22286Rn + 42He (alpha: 226 − 4 = 222 and 88 − 2 = 86) and 9038Sr → 9039Y + 0−1e (beta: mass unchanged, one more proton).

2.4Half-life

The half-life is the time for half the radioactive nuclei in a sample to decay. Decay is random for any single nucleus but utterly reliable in bulk, so after n half-lives the fraction remaining is (½)n.

Half-lives elapsed012345
Fraction remaining11/21/41/81/161/32
Percentage remaining100%50%25%12.5%6.25%3.125%
Two worked half-life problems

Iodine-131 has a half-life of 8.0 days. A hospital receives 80 g. How much is left after 24 days?  24 ÷ 8.0 = 3 half-lives, so 80 × (½)³ = 80 ÷ 8 = 10 g.

Carbon-14 has a half-life of 5730 years. A sample has 12.5% of the carbon-14 a living sample would have. How old is it?  12.5% = 1/8 = (½)³, so 3 half-lives have passed: 3 × 5730 = 17 190 years.

Always convert to a number of half-lives first. Halving three times is not "dividing by 6".

Unit 2 · Topic 1QCAA PhysicsLinear motion & force

Linear motion and force

Five equations describe any object moving with constant acceleration, and three laws explain why it does. Learn to write down u, v, a, s and t before you pick an equation and most of this topic solves itself.

3.1Scalars and vectors

A scalar has size only. A vector has size and direction, and must be given one in every answer — "5 m s⁻¹" is an incomplete velocity. Scalars: distance, speed, mass, time, energy, temperature. Vectors: displacement, velocity, acceleration, force, momentum, weight.

The distinction bites immediately. Walk 300 m east then 100 m west: the distance travelled is 400 m, but the displacement is only 200 m east. Run a lap of a 400 m track in 50 s and your average speed is 8.0 m s⁻¹ while your average velocity is zero, because you finished where you started.

3.2The SUVAT equations

These apply whenever acceleration is constant. Vertical motion under gravity qualifies, with a = g = 9.8 m s⁻² directed downwards — decide once whether down is positive or negative and stay with it.

EquationWhat is missing from itReach for it when…
v = u + atdisplacement sYou want a final velocity after a known time
s = ut + ½at²final velocity vYou want a distance after a known time
v² = u² + 2astime tThe question never mentions time — braking distances live here
s = ½(u + v)tacceleration aYou know both velocities and the time
a = (v − u) ÷ tdisplacement sYou want the acceleration itself
Three worked problems

1. A car accelerates from rest at 3.0 m s⁻² for 8.0 s.  u = 0, a = 3.0, t = 8.0.
v = u + at = 0 + 3.0 × 8.0 = 24 m s⁻¹
s = ut + ½at² = 0 + ½ × 3.0 × 8.0² = ½ × 3.0 × 64 = 96 m

2. A stone is dropped from rest and falls for 2.0 s.  u = 0, a = 9.8, t = 2.0.
v = 0 + 9.8 × 2.0 = 19.6 m s⁻¹ downwards
s = ½ × 9.8 × 2.0² = ½ × 9.8 × 4.0 = 19.6 m

3. A car travelling at 25 m s⁻¹ brakes to rest in 50 m. No time is given, so use v² = u² + 2as.
0 = 25² + 2a(50)  →  0 = 625 + 100a  →  a = −625 ÷ 100 = −6.25 m s⁻²
The minus sign means the acceleration is opposite to the motion — it is a deceleration, and it must be there.

3.3Newton's three laws

  1. First law. An object stays at rest, or continues at constant velocity in a straight line, unless acted on by a net external force. The property that makes it do so is inertia, and inertia is measured by mass. Note the consequence: constant velocity means the forces are balanced, not that there are none.
  2. Second law. Fnet = ma. Acceleration is directly proportional to the net force, inversely proportional to mass, and in the direction of the net force. A 1200 kg car with a net forward force of 3600 N accelerates at 3600 ÷ 1200 = 3.0 m s⁻².
  3. Third law. If A exerts a force on B, then B exerts an equal and opposite force on A. The two forces are the same size, opposite in direction, of the same type — and crucially they act on different objects, which is why they never cancel each other out.

Weight is a force: W = mg. A 70 kg student weighs 70 × 9.8 = 686 N on Earth. Mass is a scalar measured in kilograms and never changes; weight is a vector measured in newtons and changes with location.

3.4Free-body diagrams and friction

FREE-BODY DIAGRAM every force acting ON the block, drawn from its centre N = 98 N normal force from the surface W = mg = 10 × 9.8 = 98 N weight, always straight down F = 50 N applied the push, to the right f = 24.5 N kinetic friction, opposing motion 10 kg the surface Net force = 50 − 24.5 = 25.5 N right, so a = 25.5 ÷ 10 = 2.55 m s⁻²
Figure 3.1 — a free-body diagramOnly forces acting on the block are drawn — never forces the block exerts on something else. Vertically the forces balance (N = W = 98 N), so there is no vertical acceleration. Horizontally they do not, and the leftover 25.5 N is what Fnet = ma acts on. Friction here is f = μN = 0.25 × 98 = 24.5 N.
  • Friction always opposes relative motion (or attempted motion) between surfaces, and acts along the surface: f = μN, where μ is the coefficient of friction and N is the normal force.
  • Static friction (before sliding starts) has a maximum value that is usually larger than kinetic friction (once sliding). That is why it takes a bigger shove to start a heavy box moving than to keep it moving.
  • The normal force is perpendicular to the surface, and it is not automatically equal to the weight — push down on the block as well and N rises, which raises friction too.
  • Normal force and weight are not a Newton's third law pair. Both act on the same object. The third-law partner of the block's weight is the block's gravitational pull on the Earth.
Unit 2 · Topic 2QCAA PhysicsMomentum, energy & waves

Momentum, energy and waves

Two conserved quantities and one model. Momentum and energy are both preserved in a closed system, which turns most collision problems into a single line of arithmetic — and waves are how energy travels without anything travelling with it.

4.1Momentum and impulse

Momentum is p = mv, measured in kg m s⁻¹. It is a vector, so in one dimension you must give it a sign: choose a positive direction and stick to it. A 1500 kg car at 20 m s⁻¹ has p = 1500 × 20 = 3.0 × 10⁴ kg m s⁻¹.

Impulse is the change in momentum, and it equals force multiplied by the time the force acts: FΔt = Δp = mΔv.

Worked — impulse, and why crumple zones exist

A 0.15 kg ball is served from rest to 30 m s⁻¹. The racquet is in contact for 0.010 s.

Δp = mΔv = 0.15 × 30 = 4.5 kg m s⁻¹

F = Δp ÷ Δt = 4.5 ÷ 0.010 = 450 N

Now read the equation the other way. For a given change in momentum, a longer contact time means a smaller force. That single rearrangement explains crumple zones, airbags, helmet padding, bending your knees when you land, and a cricketer drawing the hands back when catching.

4.2Conservation of momentum

In a closed system — no external net force — total momentum before = total momentum after. This holds in every collision and every explosion, elastic or not.

Two worked collisions

Perfectly inelastic (they stick together). A 2.0 kg trolley at 6.0 m s⁻¹ hits a stationary 4.0 kg trolley and they couple.
Before: p = (2.0 × 6.0) + (4.0 × 0) = 12 kg m s⁻¹
After: p = (2.0 + 4.0)v = 6.0v
6.0v = 12, so v = 2.0 m s⁻¹ in the original direction.
Check the energy: before, KE = ½ × 2.0 × 6.0² = 36 J; after, KE = ½ × 6.0 × 2.0² = 12 J. 24 J of kinetic energy has gone — into sound, heat and deformation. Momentum is conserved; kinetic energy is not.

Elastic. A 3.0 kg ball at 4.0 m s⁻¹ strikes a stationary 1.0 kg ball. Afterwards the 3.0 kg ball moves at 2.0 m s⁻¹ in the same direction. Find the speed of the 1.0 kg ball.
Before: p = 3.0 × 4.0 = 12 kg m s⁻¹
After: p = (3.0 × 2.0) + (1.0 × v) = 6.0 + v
6.0 + v = 12, so v = 6.0 m s⁻¹
Check the energy: before, KE = ½ × 3.0 × 16 = 24 J; after, KE = (½ × 3.0 × 4) + (½ × 1.0 × 36) = 6 + 18 = 24 J. Kinetic energy is conserved too, so this collision is elastic.

4.3Work, energy and the work–energy theorem

  • Work W = Fs cos θ, in joules. Only the component of the force along the displacement does work — carrying a box horizontally does no work against gravity, because the force is vertical and the motion is not.
  • Kinetic energy KE = ½mv². A 1000 kg car at 20 m s⁻¹ has ½ × 1000 × 400 = 2.0 × 10⁵ J. Because of the square, doubling the speed quadruples the kinetic energy — the reason speed limits matter so much.
  • Gravitational potential energy GPE = mgh. Lifting 2.0 kg through 5.0 m stores 2.0 × 9.8 × 5.0 = 98 J.
  • Work–energy theorem: the net work done on an object equals its change in kinetic energy, Wnet = ΔKE. A 20 N force acting over 5.0 m in the direction of motion does 100 J of work, so the object gains 100 J of kinetic energy.
  • Conservation of energy: energy is never created or destroyed, only transferred or transformed. Drop something from 20 m with no air resistance and all the GPE becomes KE: mgh = ½mv², so v = √(2gh) = √(2 × 9.8 × 20) = √392 = 19.8 m s⁻¹. Note the mass cancels.

4.4The wave model

one full cycle, crest to crest λ = wavelength A = amplitude rest position to crest or trough crest trough rest (equilibrium) position the wave travels this way energy moves; the matter does not v = fλ — speed = frequency × wavelength
Figure 4.1 — the anatomy of a waveThe particles of the medium oscillate about the rest position and go nowhere — only the disturbance, and the energy it carries, moves along. Frequency f is the number of complete cycles per second, in hertz; the period T is the time for one cycle, so T = 1/f. In a transverse wave (light, waves on a string) the oscillation is perpendicular to the direction of travel; in a longitudinal wave (sound) it is parallel, and the crests and troughs become compressions and rarefactions.
QuestionWorkingAnswer
A wave of frequency 50 Hz has a wavelength of 6.0 m. Its speed?v = fλ = 50 × 6.0300 m s⁻¹
Sound travels at 340 m s⁻¹. Wavelength of a 170 Hz note?λ = v ÷ f = 340 ÷ 1702.0 m
Light of frequency 5.0 × 10₁⁴ Hz. Wavelength?λ = c ÷ f = (3.00 × 10⁸) ÷ (5.0 × 10₁⁴)6.0 × 10⁻⁷ m (600 nm)
A wave has a period of 0.25 s. Its frequency?f = 1 ÷ T = 1 ÷ 0.254.0 Hz
Start hereQCAA Mathematical MethodsGeneral (ATAR) · Units 1–2

Senior maths begins here.

Year 11 Methods is where algebra stops being a puzzle and becomes a language for change. Four topics — the functions themselves, the exponential and circular functions, the calculus that measures how they change, and the counting and probability that measure how likely things are. This is Units 1 and 2 of the QCAA General syllabus, and it counts.

The mapFour topics, two units

  1. Unit 1, Topic 1 — Functions and graphs. Function notation, domain and range, quadratics, the discriminant, completing the square, and the four transformations that move any graph.
  2. Unit 1, Topic 2 — Exponentials, logarithms and trigonometry. Index laws, growth and decay, logarithms as the undo button, radians, the unit circle, and the sine and cosine waves.
  3. Unit 2, Topic 1 — Calculus: differentiation. Limits, average versus instantaneous rate, first principles, the power rule, tangents, stationary points and optimisation.
  4. Unit 2, Topic 2 — Statistics and counting. Permutations and combinations, discrete random variables, probability distributions, expected value and the binomial idea.
How senior maths is marked

QCAA assessment rewards three things you can practise separately: correct routine procedures (differentiate this, solve that), communication (working set out so a reader can follow it, with the answer stated in context and to the required accuracy), and justification (why your method is valid, and why your answer is reasonable). A right answer with no working is worth far less than it was in Year 10.

The three habits that lose the most marks

Rounding too early (carry full accuracy, round once at the end); dropping units and context («$15,360», not «15360»); and answering a different question from the one asked (a maximum area is not the x that produced it).

Unit 1 · Topic 1QCAA MM U1T1Functions and graphs

Functions and graphs

A function is a machine with one rule: put a number in, get exactly one number out. Everything in Methods — every derivative, every wave, every model — is built on that one idea and on knowing what its graph looks like before you calculate anything.

1.1Function notation

A function is a rule that assigns to each input exactly one output. Write it f(x) — read «f of x», and note that it does not mean f times x.

  1. Substituting. If f(x) = x² − 4x + 3 then f(2) = 4 − 8 + 3 = −1, and f(−1) = 1 + 4 + 3 = 8. Bracket the negatives or you will lose the sign.
  2. Solving f(x) = k is a different job: it asks which inputs give that output. f(x) = 3 means x² − 4x + 3 = 3, so x² − 4x = 0, x(x − 4) = 0, and x = 0 or x = 4.
  3. The vertical line test. A graph is a function only if no vertical line crosses it twice — that is the picture of «exactly one output». A circle fails it; a parabola passes.

1.2Domain and range

The domain is the set of inputs the rule is allowed to take; the range is the set of outputs it actually produces. In Methods you must state both, and there are only three things that ever restrict a domain.

FunctionWhat restricts itDomainRange
f(x) = 3x − 7Nothing — every real number worksall real xall real y
f(x) = x² − 4x + 3Nothing restricts the input; the turning point restricts the outputall real xy ≥ −1
f(x) = √(x − 5)You cannot square-root a negativex ≥ 5y ≥ 0
f(x) = 1 ÷ (x − 3)You cannot divide by zeroall real x, x ≠ 3all real y, y ≠ 0
Height of a ball, h(t)The context: time cannot be negative, and the ball lands0 ≤ t ≤ landing time0 ≤ h ≤ max height
The range of x² − 4x + 3

It is not «all real y». The parabola opens upward and its lowest point is (2, −1), so no output below −1 is ever produced. Find the turning point first, then read the range off it — that is what completing the square is for.

1.3Quadratics and the discriminant

Every quadratic can be written y = ax² + bx + c. The discriminant Δ = b² − 4ac is the part of the quadratic formula under the square root, and on its own it tells you how many times the parabola meets the x-axis — before you solve anything.

ExampleΔ = b² − 4acSignWhat the graph does
x² − 4x + 316 − 12 = 4Δ > 0Two distinct real roots — cuts the x-axis twice (at x = 1 and x = 3)
x² − 4x + 416 − 16 = 0Δ = 0One repeated root — just touches the x-axis at x = 2
x² − 4x + 516 − 20 = −4Δ < 0No real roots — never meets the x-axis at all
2x² + 3x + 59 − 40 = −31Δ < 0No real roots; the whole parabola sits above the x-axis

1.4Completing the square

Turning-point form y = a(x − h)² + k hands you the vertex (h, k) for free. Getting there is one move: halve the coefficient of x, square it, add it and take it straight back off.

  1. x² − 4x + 3. Half of −4 is −2; (−2)² = 4. So x² − 4x + 3 = (x² − 4x + 4) − 4 + 3 = (x − 2)² − 1. Vertex (2, −1); minimum value −1; range y ≥ −1.
  2. x² + 6x + 1. Half of 6 is 3; 3² = 9. So it becomes (x + 3)² − 9 + 1 = (x + 3)² − 8. Vertex (−3, −8).
  3. Check by expanding back. (x − 2)² − 1 = x² − 4x + 4 − 1 = x² − 4x + 3 ✓. Ten seconds, catches every sign slip.
  4. The axis of symmetry is x = h, which is also x = −b ÷ (2a). For x² − 4x + 3 that is 4 ÷ 2 = 2 ✓ — two routes, same answer.
Figure 1.1 — y = x² − 4x + 3, three waysGeneral form x² − 4x + 3 shows the y-intercept (3). Factorised form (x − 1)(x − 3) shows the roots (1 and 3). Turning-point form (x − 2)² − 1 shows the vertex (2, −1) and therefore the range, y ≥ −1. Same curve, three questions answered.

1.5Transformations of graphs

Once you know the shape of a basic function, you never have to plot points again. Every change to the equation does exactly one thing to the picture.

Written asWhat happens to the graph of y = f(x)Watch out
y = f(x) + kTranslation k units up (down if k is negative)Nothing surprising — the sign matches the movement
y = f(x − h)Translation h units to the right (left if h is negative)Inside the bracket the sign is reversed: f(x + 3) moves 3 left
y = a f(x)Dilation by factor a from the x-axis — stretched taller if a > 1x-intercepts do not move; every y-value is multiplied
y = f(bx)Dilation by factor 1/b from the y-axis — squashed inward if b > 1Again reversed: f(2x) makes the graph narrower, not wider
y = −f(x)Reflection in the x-axis — the whole graph flips upside downA minimum becomes a maximum
y = f(−x)Reflection in the y-axis — the graph flips left to righty = x² looks unchanged because it is already symmetric
Figure 1.2 — one parabola, four transformationsRead the equation left to right and describe the transformations in order: y = (x − 2)² − 1 is «y = x² translated 2 right and 1 down». That sentence, written out, is worth marks on its own in a QCAA response.
Unit 1 · Topic 2QCAA MM U1T2Exponentials, logarithms and trigonometry

Exponentials, logarithms and trigonometry

Two new families of function. One models anything that multiplies itself — money, populations, radioactive decay — and comes with its own undo button, the logarithm. The other models anything that repeats — tides, sound, seasons — and needs a new unit for angle: the radian.

2.1Index laws, revisited properly

LawExampleWhy it is true
am × an = am+n2⁵ × 2³ = 2⁸Five twos next to three twos is eight twos
am ÷ an = am−nx⁸ ÷ x⁵ = x³Five of the eights cancel
(am)n = amn(x³)⁴ = x¹²Four lots of three x’s
a0 = 17⁰ = 1an ÷ an = a0, and anything over itself is 1
a−n = 1 ÷ an5⁻² = 1/25Keep subtracting indices past zero
a1/2 = √a91/2 = 3Because a1/2 × a1/2 = a1
Every law needs the same base

2³ × 5² cannot be combined — different bases. Just evaluate: 8 × 25 = 200. And (a + b)² is not a² + b²; that is expansion, not an index law.

2.2Exponential growth and decay

An exponential function y = a·bx multiplies by the same factor b for every step in x. That is the definition of growth (b > 1) and decay (0 < b < 1), and it is why exponentials outrun every polynomial in the end.

  1. Doubling. A colony of 200 bacteria doubles every 3 hours. In 12 hours there are 12 ÷ 3 = 4 doublings, so N = 200 × 2⁴ = 200 × 16 = 3,200.
  2. Decay by a percentage. A car worth $30,000 loses 20% of its value each year, so it keeps 80%: V = 30000 × 0.8n. After 3 years V = 30000 × 0.512 = $15,360. (Check the chain: 30000 → 24000 → 19200 → 15360 ✓)
  3. Half-life. If a quantity halves every h units of time, the model is A = A₀ × (½)t/h. Carbon-14 has a half-life of about 5,730 years, so after 11,460 years exactly one quarter is left.
  4. The horizontal asymptote. y = 2x gets closer and closer to the x-axis on the left but never touches it. Exponential quantities approach zero; they never reach it.
Figure 2.1 — growth and decayThe two curves share the point (0, 1) and share the x-axis as a horizontal asymptote. Growth curves rise ever more steeply; decay curves fall ever more gently. Note that 0.5x = 2−x — decay is growth reflected in the y-axis.

2.3Logarithms — the undo button

A logarithm answers «what power?». By definition:

The one line that defines everything

loga b = c means exactly the same as ac = b. So log₂32 = 5 because 2⁵ = 32; log₁₀1000 = 3 because 10³ = 1000; log₃81 = 4 because 3⁴ = 81. Read every logarithm out loud as a question about a power and it stops being mysterious.

Log lawWorked exampleWhere it comes from
log(mn) = log m + log nlog 8 + log 2 = log 16Multiplying numbers adds their indices
log(m/n) = log m − log nlog 20 − log 2 = log 10 = 1Dividing numbers subtracts their indices
log(mp) = p log mlog 8 = log 2³ = 3 log 2A power is repeated multiplication
loga a = 1 and loga 1 = 0log₅ 5 = 1, log₅ 1 = 0a¹ = a and a⁰ = 1
  1. Exact solving. 3x = 81. Write 81 as 3⁴, so x = 4. Whenever both sides can be written to the same base, do that — it is exact and it is faster.
  2. When they cannot. 2x = 20 has no nice power. Take logs of both sides: x log 2 = log 20, so x = log 20 ÷ log 2 = 4.32 to 2 decimal places. (Sanity check: 2⁴ = 16 and 2⁵ = 32, so x must sit between 4 and 5 ✓)
  3. Domain. You can only take the logarithm of a positive number — there is no power of 10 that produces zero or a negative.

2.4Radian measure and the unit circle

Degrees are an arbitrary human choice (360 because the Babylonians liked 60). A radian is defined by the circle itself: the angle at the centre subtended by an arc equal in length to the radius. Since the whole circumference is 2πr, a full turn is 2π radians.

DegreesRadiansDegreesRadians
30°π/6120°2π/3
45°π/4180°π
60°π/3270°3π/2
90°π/2360°
  1. Converting. Multiply by π/180 to go degrees → radians; by 180/π to come back. So 1 radian ≈ 57.3°.
  2. Arc length l = rθ, with θ in radians. A radius of 10 cm and an angle of 1.2 rad gives an arc of 12 cm — no π, no fractions of 360. That simplicity is the whole point of radians.
  3. Sector area A = ½r²θ. With r = 6 cm and θ = π/3, A = ½ × 36 × π/3 = 6π ≈ 18.85 cm².
x-axis = cos θ y-axis = sin θ sin θ = 0.866 cos θ = 0.5 θ = π/3 = 60° measured from the radius drawn to the point circle of radius 1 θ = 0 → (1, 0) θ = π/2 → (0, 1) θ = π → (−1, 0) θ = 3π/2 → (0, −1) EXACT VALUES TO MEMORISE θ = π/6 = 30°sin = 1/2cos = √3/2 θ = π/4 = 45°sin = √2/2cos = √2/2 θ = π/3 = 60°sin = √3/2cos = 1/2 θ = π/2 = 90°sin = 1cos = 0 tan θ = sin θ ÷ cos θ, so tan(π/4) = 1 and tan(π/2) is undefined, because cos(π/2) = 0 Angles are measured anticlockwise from the positive x-axis. Every point on the circle is (cos θ, sin θ), which is the definition of sine and cosine for any angle at all.
Figure 2.2 — the unit circleBecause the radius is exactly 1, the coordinates of the point are the cosine and the sine. That single picture explains why sin²θ + cos²θ = 1 (it is Pythagoras on the dashed triangle), why sine and cosine never leave the interval from −1 to 1, and why both functions repeat every 2π: one full lap returns you to the same point.

2.5Sine and cosine graphs

Unroll the unit circle and you get a wave. For y = a sin(bx) and y = a cos(bx):

  1. Amplitude = |a| — how far the wave rises above and falls below its centre line. y = 4 sin(3x) has amplitude 4.
  2. Period = 2π ÷ b — how far along x before the pattern repeats. y = 4 sin(3x) has period 2π/3; y = sin x has period 2π.
  3. The difference between them is only a head start: cosine starts at its maximum (cos 0 = 1), sine starts at zero and rises (sin 0 = 0). Cosine is sine shifted a quarter-period left.
  4. Both are bounded. Whatever a and b are, the range of y = a sin(bx) is −|a| ≤ y ≤ |a| — because the unit circle never lets sine leave the interval from −1 to 1.

The drill below plots three of these waves live. Read the amplitude off the height and the period off the repeat distance, then type each equation and watch your guess snap onto the target.

Unit 2 · Topic 1QCAA MM U2T1Calculus — differentiation

Calculus: differentiation

Every rate you have ever met — speed, growth, cost per extra unit — was an average over an interval. Calculus asks the harder question: how fast is it changing right now, at a single instant? The answer is the gradient of a tangent, and there is a rule that finds it in one line.

3.1Average versus instantaneous rate of change

Average rate of changeInstantaneous rate of change
Question it answersHow much did y change per unit of x, over an interval?How fast is y changing at one exact value of x?
On the graphThe gradient of the chord joining two pointsThe gradient of the tangent at one point
Formula[f(b) − f(a)] ÷ (b − a)f′(x), the derivative
For f(x) = x²From x = 1 to x = 4: (16 − 1) ÷ 3 = 5At x = 1: f′(1) = 2
Real-world nameYour average speed over the whole tripWhat the speedometer reads at one moment

3.2The limit idea, and first principles

You cannot find the gradient at a single point directly — gradient needs two points. So take a second point a distance h away, find the chord gradient, and then let h shrink towards zero. The value the chord gradients close in on is the limit, and that is the tangent gradient.

  1. The definition. f′(x) = the limit, as h approaches 0, of [f(x + h) − f(x)] ÷ h.
  2. Do it for f(x) = x². The numerator is (x + h)² − x² = x² + 2xh + h² − x² = 2xh + h².
  3. Divide by h (legal, because h is not yet zero): the chord gradient is 2x + h.
  4. Let h → 0: f′(x) = 2x. So at x = 1 the tangent gradient is 2, at x = 3 it is 6.
Why you cannot just set h = 0 at the start

Putting h = 0 into [f(x + h) − f(x)] ÷ h gives 0 ÷ 0, which is meaningless. The whole method is: simplify first while h is still alive, cancel the h, and only then let it vanish. That is what a limit is for.

Figure 3.1 — chord, tangent, and the squeeze between themThe chord from (1, 1) to (3, 9) has gradient (9 − 1) ÷ (3 − 1) = 4. Bring the second point in to (2, 4) and the chord gradient falls to 3; to (1.5, 2.25) and it falls to 2.5. The limit of that shrinking sequence is 2 — the tangent gradient, and exactly what first principles produced.

3.3The power rule

Nobody uses first principles for every function. Doing it once for x², x³, x⁴… reveals a pattern, and the pattern is the rule.

The rule, and its two companions

If y = xn then dy/dx = n xn−1 — bring the index down in front, then knock one off it.
If y = k·f(x) then dy/dx = k·f′(x) — constants come along for the ride.
If y = f(x) + g(x) then dy/dx = f′(x) + g′(x) — differentiate term by term.

FunctionDerivativeNote
y = x⁴dy/dx = 4x³Index 4 comes down, 4 − 1 = 3 left behind
y = 5x³dy/dx = 15x²5 × 3 = 15
y = 3x² − 4x + 7dy/dx = 6x − 4The 7 vanishes: a constant does not change
y = xdy/dx = 1x is x¹, so 1·x⁰ = 1
y = 9dy/dx = 0A horizontal line has gradient zero everywhere
y = x⁵ − 2x³dy/dx = 5x⁴ − 6x²Term by term, signs kept

3.4Tangents, stationary points and their nature

  1. Gradient of a tangent. For f(x) = x² − 4x + 3, f′(x) = 2x − 4. At x = 3 the gradient is 2, and f(3) = 0, so the tangent is y − 0 = 2(x − 3), that is y = 2x − 6.
  2. Stationary points are where the tangent is horizontal: solve f′(x) = 0. For f(x) = x³ − 3x, f′(x) = 3x² − 3 = 0 gives x² = 1, so x = −1 or x = 1.
  3. Find the y-values too. f(−1) = −1 + 3 = 2 and f(1) = 1 − 3 = −2. The stationary points are (−1, 2) and (1, −2).
  4. Determine the nature with a sign test on f′. Just left of x = −1 (say x = −2): f′ = 12 − 3 = 9, positive. Just right (x = 0): f′ = −3, negative. Rising then falling is a local maximum. At x = 1, f′ goes from −3 (at x = 0) to 9 (at x = 2): falling then rising is a local minimum.
Figure 3.2 — y = x³ − 3x and its stationary pointsAt both turning points the tangent would be perfectly horizontal, which is what f′(x) = 0 means. The word local matters: (−1, 2) is the highest point in its own neighbourhood only — the curve rises well above 2 further to the right.

3.5Simple optimisation

Optimisation is stationary points with a story. The method never changes.

Worked example, set out the way a marker wants it

Problem. A rectangular paddock is fenced on three sides, using a straight river as the fourth side. There are 40 m of fencing. What dimensions give the greatest area?

1. Name the variables. Let the two sides perpendicular to the river be y metres each, and the side parallel to the river be x metres.

2. Constraint. Only three sides are fenced: x + 2y = 40, so x = 40 − 2y.

3. One-variable model. A = xy = (40 − 2y)y = 40y − 2y².

4. Differentiate and solve. dA/dy = 40 − 4y. Setting 40 − 4y = 0 gives y = 10.

5. Justify the maximum. dA/dy is positive for y < 10 and negative for y > 10, so y = 10 is a maximum, not a minimum.

6. Answer the actual question, in context. y = 10 m, x = 40 − 20 = 20 m, and the greatest area is A = 20 × 10 = 200 m².

Two marks people throw away

Stopping at y = 10 without ever stating the area, and never justifying that it is a maximum. Both are explicitly assessed. Also check the domain makes sense: 0 < y < 20, since x must stay positive.

Unit 2 · Topic 2QCAA MM U2T2Statistics and counting

Statistics and counting

Probability begins with counting: to say how likely something is, you first have to know how many ways it can happen. Then a random variable turns a chance experiment into a number, and its expected value tells you what to bet on in the long run.

4.1Factorials, permutations and combinations

n! («n factorial») is n × (n−1) × … × 2 × 1, and it counts the arrangements of n distinct objects. 4! = 24, 5! = 120. By convention 0! = 1.

Permutation — nPrCombination — nCr
CountsWays to choose r from n and arrange themWays to choose r from n, order irrelevant
The test questionWould swapping two chosen items give a different outcome? YesWould swapping two chosen items give a different outcome? No
Formulan! ÷ (n − r)!n! ÷ [r!(n − r)!]
RelationshipnCr = nPr ÷ r! — combinations are permutations with the r! reorderings divided out
Example with n = 5, r = 35 × 4 × 3 = 6060 ÷ 3! = 60 ÷ 6 = 10
In wordsGold, silver and bronze from 5 runnersA 3-person committee from 5 people
  1. Exact values worth knowing. 10C2 = (10 × 9) ÷ 2 = 45. 12C3 = (12 × 11 × 10) ÷ 6 = 1320 ÷ 6 = 220. 9C4 = (9 × 8 × 7 × 6) ÷ 24 = 3024 ÷ 24 = 126.
  2. The shortcut. For nCr, multiply r descending factors starting at n, then divide by r!. You never need to compute 12! itself.
  3. Symmetry. nCr = nCn−r, because choosing 3 of 12 to include is the same act as choosing 9 to leave out. 12C9 is also 220.

4.2Discrete random variables and distributions

A discrete random variable X assigns a number to each outcome of a chance experiment — the number of heads in five tosses, the score on a die, the number of faulty items in a box. Its probability distribution lists every value X can take alongside its probability.

Two conditions every distribution must satisfy

Every probability lies between 0 and 1 inclusive, and they add to exactly 1. If a table is missing one probability, that second rule finds it: if P(1) = 0.2 and P(2) = 0.5, then the remaining value must carry 1 − 0.7 = 0.3.

x0123Total
P(X = x)0.10.30.40.21.0 ✓
x × P(X = x)00.30.80.6E(X) = 1.7
  1. Expected value E(X) = Σ x × P(X = x) — a probability-weighted average. Above: 0(0.1) + 1(0.3) + 2(0.4) + 3(0.2) = 1.7.
  2. It need not be a possible outcome. For one roll of a fair die, E(X) = (1+2+3+4+5+6) ÷ 6 = 21/6 = 3.5 — and you can never roll 3.5. E(X) is the long-run average, not a prediction of one trial.
  3. Reading it as a decision tool. A $2 raffle ticket with E(prize) = $1.40 loses 60 cents per ticket on average. That is what expected value is for.

4.3The binomial idea

A huge family of problems shares one shape. A situation is binomial when all four conditions hold:

ConditionCoin tossed 5 times, counting headsCounterexample
Fixed number of trials, nn = 5, decided in advance«Toss until you get a head» — n is not fixed
Only two outcomes per trialHead or tailRolling a die and recording the number — six outcomes
Constant probability pp = 0.5 every tossDrawing cards without replacement — p changes each draw
Independent trialsOne toss tells you nothing about the nextDrawing names from a hat without replacing them
  1. The count of ways is a combination: the number of ways to get exactly 2 heads in 5 tosses is 5C2 = 10 — HHTTT, HTHTT, and eight more.
  2. The probability. P(X = k) = nCk × pk × (1 − p)n−k. So P(exactly 2 heads in 5 fair tosses) = 10 × (0.5)² × (0.5)³ = 10 ÷ 32 = 0.3125.
  3. Expected value. E(X) = np. A basketballer who makes 60% of shots and takes 20 shots expects 20 × 0.6 = 12 baskets.
Start hereQCAA General MathematicsGeneral (ATAR) · Units 1–2

Maths you will actually use.

General Mathematics is not «easy Methods». It is the mathematics of decisions: what a loan really costs, how much concrete a slab needs, which mobile plan wins, and what a set of data is honestly telling you. Four topics across QCAA Units 1 and 2, and every one of them turns up in adult life within a year of leaving school.

The mapFour topics, two units

  1. Unit 1, Topic 1 — Money and financial mathematics. Percentage change, simple against compound interest, depreciation, loans and repayments, budgeting.
  2. Unit 1, Topic 2 — Measurement and geometry. Units and conversions, perimeter, area, volume and surface area, Pythagoras and right-angle trigonometry, similar figures and how area and volume scale.
  3. Unit 2, Topic 1 — Graphs, networks and linear relationships. Linear models, simultaneous equations in context, step graphs, and reading a network of vertices and edges.
  4. Unit 2, Topic 2 — Data and statistics. Types of data, summary statistics, box plots and five-number summaries, outliers, comparing distributions, scatterplots and correlation.
What General Maths responses are marked on

Almost every question is set in a context, and the marks follow the context: choose a reasonable model, carry out the calculation accurately, then interpret the answer in the situation with correct units and sensible rounding. «20230» is not the answer; «the car is worth $20,230 after two years» is.

The rounding rule that costs the most marks

Round once, at the end. Rounding $4,764.064 to $4,764.06 is correct; rounding the interest rate or an intermediate balance first will drift your answer by dollars. Money is written to the cent, measurements to the accuracy the question gives you.

Unit 1 · Topic 1QCAA GM U1T1Money and financial mathematics

Money and financial mathematics

Interest is the price of time. Learn the difference between the two ways it is charged and you can already see through a car ad, a credit card and a home loan — because all three run on the same three formulas.

1.1Percentage change, and the one-step multiplier

Percentage change = (new value − old value) ÷ old value × 100. The sign carries the meaning: positive is an increase, negative is a decrease.

  1. A price rises from $80 to $92. Change = 12 ÷ 80 × 100 = 15% increase.
  2. A price falls from $250 to $200. Change = −50 ÷ 250 × 100 = 20% decrease.
  3. Use one multiplier, not two steps. A 20% discount means paying 80%: $65 × 0.8 = $52. A 10% rise means × 1.10.
  4. GST. Adding 10% GST multiplies by 1.1. Going backwards, a price that already includes 10% GST is 11 parts, so the GST inside $264 is 264 ÷ 11 = $24 (and the pre-GST price is $240).
A 20% rise then a 20% fall does not return you to the start

$100 × 1.2 = $120, and $120 × 0.8 = $96. The percentages are taken from different bases. Always ask «percentage of what?»

1.2Simple interest against compound interest

Simple interestCompound interest
FormulaI = PrtA = P(1 + r)n
Interest is charged onThe original principal, every periodThe current balance — so on the interest as well
$4,000 at 6% p.a. for 3 yearsI = 4000 × 0.06 × 3 = $720A = 4000 × 1.06³ = $4,764.06
Interest earned$720 — total $4,720.00$764.06 — $44.06 more
Growth over timeA straight lineA curve that steepens — it is an exponential
Compounding more often than once a year

Use A = P(1 + r/k)kn, where k is the number of compounding periods per year. $5,000 at 6% p.a. compounded monthly for 2 years: the monthly rate is 0.06 ÷ 12 = 0.005 and there are 24 periods, so A = 5000 × 1.00524 = $5,635.80, and the interest is $635.80. Compounded annually the same deposit would reach only $5,618.00, so the extra $17.80 is purely the effect of compounding twelve times a year.

1.3Depreciation: two models, two answers

Straight-line (flat rate)Declining balance (reducing)
FormulaV = V₀ − DnV = V₀(1 − r)n
LosesThe same dollar amount each yearThe same percentage of the current value each year
$28,000 car, after 2 yearsAt $3,500 a year: 28000 − 7000 = $21,000At 15% a year: 28000 × 0.85² = $20,230.00
The same car, after 3 years28000 − 10500 = $17,50028000 × 0.85³ = $17,195.50
Which is realistic?Rare — used mainly for tax purposesHow cars actually behave: the big loss is in year one

1.4Loans and repayments

A reducing-balance loan charges interest on what you still owe. Each repayment first pays that month’s interest; only what is left over reduces the debt. That is why the early repayments barely touch the principal.

MonthOpening balanceInterest at 0.75% (9% p.a. ÷ 12)RepaymentClosing balance
1$20,000.00$150.00$500.00$19,650.00
2$19,650.00$147.38$500.00$19,297.38
3$19,297.38$144.73$500.00$18,942.11
  1. Read row 1. Of that first $500, exactly $150 vanished as interest; only $350 reduced the debt.
  2. The balance falls, so the interest falls. $147.38 in month 2, $144.73 in month 3 — and the amount coming off the principal grows every month.
  3. Why a longer term costs so much more. Stretching the same loan over more months means more interest charged on a slowly shrinking balance. The monthly repayment falls; the total repaid rises sharply.

1.5Budgeting

A budget is a subtraction with consequences: net income − total expenses = surplus or deficit. Work in one consistent period — usually per week or per fortnight.

Weekly itemAmountFixed or variable?
Net pay (after tax)$1,250Income
Rent$480Fixed — the same every week
Food and groceries$180Variable — where a budget can flex
Transport and fuel$95Variable
Utilities and phone$60Mostly fixed
Everything else$150Variable
Total expenses$965480 + 180 + 95 + 60 + 150
Weekly surplus$2851250 − 965 — savings, or a buffer
Unit 1 · Topic 2QCAA GM U1T2Measurement and geometry

Measurement and geometry

Every trade runs on this topic: how much turf, how much concrete, how long a rafter, what angle a ramp makes. The mathematics is not hard — the marks are lost on units, on forgetting to halve a diameter, and on rounding too soon.

2.1Units and conversions

KindConversionWhy the number is what it is
Length1 m = 100 cm = 1,000 mm; 1 km = 1,000 mOne dimension, so the factor is used once
Area1 m² = 10,000 cm²100 × 100 — the factor is used twice
Area (land)1 hectare = 10,000 m²A square 100 m by 100 m
Volume1 m³ = 1,000,000 cm³100 × 100 × 100 — three times
Capacity1 cm³ = 1 mL, so 1 L = 1,000 cm³ and 1 m³ = 1,000 LThe bridge between space and liquid
The classic area conversion error

1 m² is not 100 cm². Draw the square: it is 100 cm along each side, so 100 × 100 = 10,000 cm². The same logic makes 1 m³ a million cubic centimetres.

2.2Perimeter, area, volume, surface area

Shape or solidFormulaWorked example
CircleC = 2πr, A = πr²r = 5 cm: C = 31.42 cm, A = 78.54 cm²
TrapeziumA = ½(a + b)ha = 8, b = 12, h = 5: ½(20)(5) = 50 cm²
Any prismV = end-face area × lengthTriangle 6 × 4: ½(24) = 12 cm², × 10 = 120 cm³
CylinderV = πr²hr = 5, h = 20: π(25)(20) = 500π = 1,571 cm³ = 1.571 L
Cylinder surfaceSA = 2πr² + 2πrhSame cylinder: 50π + 200π = 250π = 785.40 cm²
Rectangular prism surfaceSA = 2(lw + lh + wh)5 × 3 × 10: 2(15 + 50 + 30) = 190 cm²

2.3Pythagoras and right-angle trigonometry, applied

a² + b² = c² holds in every right-angled triangle, with c the hypotenuse — the side opposite the right angle, and always the longest. A 5 m ladder with its foot 1.4 m from the wall reaches √(25 − 1.96) = √23.04 = 4.8 m up the wall.

right angle adjacent = 4 m opposite = 3 m hypotenuse = 5 m θ = 36.9° SOH CAH TOA sin θ = opp ÷ hyp = 3/5 = 0.6 cos θ = adj ÷ hyp = 4/5 = 0.8 tan θ = opp ÷ adj = 3/4 = 0.75 To find the ANGLE from two sides, run the ratio backwards: θ = tan⁻¹(0.75) = 36.9° Pythagoras checks the drawing: 3² + 4² = 9 + 16 = 25 = 5²
Figure 2.1 — the 3-4-5 triangle, drawn to scale«Opposite» and «adjacent» are named relative to the angle you are working with — move to the other acute angle and they swap. Choose the ratio that contains the two sides you care about: two sides known and an angle wanted means an inverse ratio (sin⁻¹, cos⁻¹ or tan⁻¹).
  1. Finding a length. A tower’s angle of elevation is 32° from a point 45 m away. Height = 45 × tan 32° = 45 × 0.62487 = 28.1 m (1 decimal place).
  2. Finding an angle. A roof rises 7 m over a horizontal run of 24 m. tan θ = 7/24 = 0.29167, so θ = tan⁻¹(0.29167) = 16.3°.
  3. Sanity-check every answer. The hypotenuse must be the longest side; an angle of elevation to something taller than you must be under 90°; and a tan ratio below 1 always means an angle below 45°.

2.4Similar figures: k, k² and k³

Two figures are similar when one is an exact enlargement of the other: all matching angles equal, all matching lengths in the same ratio. That ratio is the scale factor k — and it does not apply equally to lengths, areas and volumes.

QuantityMultiplied byScale factor k = 2Model at 1 : 20 (k = 20)
Any length — side, height, perimeterk× 2× 20
Any area — surface, cross-section× 4× 400
Any volume — capacity, mass if the material is the same× 8× 8,000
  1. Worked example. Two similar cylinders have radii 3 cm and 6 cm, so k = 2. If the smaller holds 54 cm³, the larger holds 54 × 2³ = 432 cm³ — eight times, not twice.
  2. Why this matters outside the classroom. Doubling the length of a shipping container multiplies its steel surface by 4 and its capacity by 8. It is also why a photograph enlarged by a factor of 3 needs 9 times as much ink.
Unit 2 · Topic 1QCAA GM U2T1Graphs, networks and linear relationships

Graphs, networks and linear relationships

A straight line is the most useful model in applied mathematics: a fixed amount plus a steady rate. Then two lines meeting solves a real choice, a step graph handles the charges that jump, and a network turns roads, cables and friendships into mathematics.

3.1Linear models and what the numbers mean

In y = mx + c applied to a real situation, the two numbers always mean the same two things: c is the fixed amount you pay before anything happens, and m is the rate — the extra cost for each extra unit. Interpreting them in context is worth as many marks as the calculation.

Figure 3.1 — a taxi fare as a linear modelC = 2.20d + 4.50. At d = 12, C = 26.40 + 4.50 = $30.90. Note that the model only makes sense for d ≥ 0: a negative distance has no meaning, so the real domain is restricted by the context, even though the line on the screen carries on.

3.2Simultaneous equations in context

  1. Comparing two plans. Plan A costs $20 a month plus 20c a minute: C = 0.2m + 20. Plan B costs $5 plus 50c a minute: C = 0.5m + 5. They cost the same when 0.2m + 20 = 0.5m + 5, so 15 = 0.3m and m = 50 minutes, both costing $30. Below 50 minutes Plan B is cheaper; above 50 minutes Plan A wins.
  2. A ticket problem. Adult tickets are $18 and child tickets $12. Two hundred tickets were sold for $3,120. With a + c = 200 and 18a + 12c = 3120, substitute c = 200 − a: 18a + 2400 − 12a = 3120, so 6a = 720 and a = 120 adults, c = 80 children. Check: 120(18) + 80(12) = 2160 + 960 = 3120 ✓
  3. Always check in BOTH original equations and answer in words. A pair of numbers that satisfies only one equation is not a solution.
When there is no solution, or too many

Two lines with the same gradient but different intercepts are parallel: they never meet, so the equations have no solution — in context that usually means one option is always cheaper. Two equations describing the same line have infinitely many solutions.

3.3Piecewise and step graphs

Not every charge grows smoothly. A step graph stays flat across a whole bracket and then jumps — parking, postage, and income tax brackets all behave this way.

Time parkedFeeReading it
Up to 2 hours$5Every stay from 1 minute to 2 hours costs the same
Over 2 and up to 4 hours$9A 3½-hour stay costs $9 — not $9 plus a part-hour
Over 4 and up to 8 hours$14Staying 4 hours 1 minute costs $5 more than staying 4 hours
Over 8 hours$20The final step, flat for the rest of the day
The endpoint matters

On a step graph one end of each step is filled (included) and the other is open (excluded). «Up to and including 2 hours» charges $5 at exactly 2 hours; the $9 step starts the instant after. Reading the wrong end of a step is the classic lost mark.

3.4Graphs and networks

A network (or graph, in this sense) is just dots and lines: a vertex is a point — a town, a person, a router — and an edge is a connection between two vertices. The degree of a vertex is the number of edges meeting at it.

A ROAD NETWORK: 5 towns, 6 roads 12 km 9 km 8 km 15 km 11 km 10 km ABC DE degree 2 degree 3 degree 3 degree 2 degree 2 Sum of the degrees = 2 + 3 + 3 + 2 + 2 = 12 = 2 × 6 edges
Figure 3.2 — reading a networkA path is a route along edges that does not repeat a vertex: A–C–E uses two roads and 20 km, while A–B–D–E uses three roads and 37 km. The network is connected because every town can be reached from every other. And the degrees always sum to twice the number of edges — each edge has two ends, so it is counted once at each.
Unit 2 · Topic 2QCAA GM U2T2Data and statistics

Data and statistics

Statistics is the art of saying what a pile of numbers actually shows — and of noticing when someone is using the same numbers to say something they do not show. Centre, spread, shape, outliers: four questions, asked in that order, every time.

4.1Types of data

TypeMeaningExamplesSensible display
Categorical — nominalNamed groups with no natural orderEye colour, suburb, favourite sportBar chart, frequency table
Categorical — ordinalNamed groups that do have an orderT-shirt size S/M/L/XL, agree-to-disagree scalesBar chart kept in order
Numerical — discreteCounted; only whole values are possibleNumber of siblings, cars in a car parkColumn graph, dot plot
Numerical — continuousMeasured; any value in a range is possibleHeight, time, mass, temperatureHistogram, box plot
Numbers that are not numerical data

A postcode, a jersey number and a phone number are written with digits but are nominal categorical data — the average of a set of postcodes means nothing. Ask whether arithmetic on the values would make sense.

4.2Summary statistics, worked in full

Take these eleven values, already sorted:

4, 7, 8, 11, 11, 14, 15, 18, 21, 24, 43

StatisticValueHow it was found
n11Count the values
Mean16Total 176 ÷ 11 = 16 exactly
Median14The 6th value of 11, once sorted — five below, five above
Mode11The only value appearing twice
Range3943 − 4
Q1 (lower quartile)8Median of the lower five: 4, 7, 8, 11, 11
Q3 (upper quartile)21Median of the upper five: 15, 18, 21, 24, 43
IQR13Q3 − Q1 = 21 − 8 — the spread of the middle half
Standard deviation (s)≈ 10.8The typical distance of a value from the mean, the ÷(n−1) version your calculator calls s
With 11 values, do not include the median in either half

The median is the 6th value. The lower half is the five values below it and the upper half is the five above it — the median itself belongs to neither. (With an even n, split straight down the middle and both halves are complete.)

4.3Outliers and the box plot

A value is an outlier if it lies more than 1.5 × IQR beyond a quartile. Here 1.5 × 13 = 19.5, so the fences are at 8 − 19.5 = −11.5 and 21 + 19.5 = 40.5. The minimum 4 sits comfortably inside; the maximum 43 is above 40.5, so it is an outlier and is plotted as its own dot.

upper fence = 40.5 minimum = 4 median = 14 24 = largest non-outlier 43 = outlier Q1 = 8 Q3 = 21 IQR = 21 − 8 = 13 01020 304050 data value
Figure 4.1 — the box plot of 4, 7, 8, 11, 11, 14, 15, 18, 21, 24, 43The five-number summary is 4, 8, 14, 21, 43. Because 43 is an outlier, the right whisker stops at 24 — the largest value that is not an outlier — and 43 is drawn as its own point. The box holds the middle 50% of the data, so its width is the IQR; each whisker covers roughly the outer quarter. The long right tail means the distribution is positively skewed, which is exactly why the mean (16) sits above the median (14).

4.4Comparing distributions

When two box plots are set side by side, compare them in a fixed order and always in context:

  1. Centre. Which median is higher, and by how much? «Class B’s median of 68 is 9 marks above Class A’s 59.»
  2. Spread. Compare the IQRs (and the ranges). A smaller IQR means more consistent results, which is often the more useful finding.
  3. Shape. Symmetric, or skewed? A long right whisker is positive skew; a long left whisker is negative skew.
  4. Outliers. Note any, and say what they might mean — a data-entry error, or a genuinely unusual case worth investigating.
Mean or median? Say why you chose

The mean uses every value, so a single extreme value drags it. The median only cares about position, so it barely moves. In our set, deleting the outlier 43 drops the mean from 16 all the way to 13.3, but moves the median only from 14 to 12.5. That is why house prices and incomes are reported as medians.

4.5Scatterplots, correlation and causation

  1. Set the axes properly. The explanatory variable (the one you think does the explaining) goes on the horizontal axis; the response variable goes on the vertical.
  2. Describe a scatterplot in four words: direction (positive or negative), form (linear or curved), strength (strong, moderate, weak) and outliers.
  3. Correlation is not causation. Ice-cream sales and drownings rise together every summer. Ice cream does not drown anyone: hot weather drives both. That hidden third variable is a confounding variable.
  4. Other explanations to rule out before claiming cause: coincidence in a small sample, and reversed causation (does A cause B, or does B cause A?).
Start hereQCAA EnglishGeneral (ATAR) · Units 1–2

Nobody writes by accident.

Senior English is not about liking a text. It is about proving how a text works on the person reading it, and why the writer built it that way. Four topics across QCAA Units 1 and 2: reading perspective, reading culture, writing analysis, and writing persuasion.

The mapFour topics, two units

  1. Unit 1, Topic 1 — Perspectives and texts. How texts represent a perspective; purpose, audience and context; denotation and connotation; register; and the choices a writer makes.
  2. Unit 1, Topic 2 — Texts and culture. How people and places are represented, the cultural assumptions a text carries, whose voice is heard and whose is missing, and intertextuality.
  3. Unit 2, Topic 1 — Textual analysis: the craft. Close analysis of language and structure, embedding evidence, and building the analytical essay paragraph by paragraph.
  4. Unit 2, Topic 2 — Persuasion and the public sphere. Ethos, pathos and logos; argument and rebuttal; logical fallacies; analysing persuasive media; and writing to persuade a defined audience.
The one sentence that separates a C from an A

A C-grade response says what the text contains: «the writer uses a metaphor». An A-grade response says what that choice does, and to whom: «by reducing the city to a furnace, the writer makes the heat feel industrial and inescapable, positioning the reader to read a weather report as a warning». Naming the technique is the cheapest mark in the paper; the effect is where the marks live.

Three habits to break in Year 11

Retelling — the marker has read the text; describing the plot proves nothing. Quote dumping — a quotation parachuted in on its own sentence, unexplained. Feelings as evidence — «this makes the reader sad» with no language named and no reason given.

Unit 1 · Topic 1QCAA English U1T1Perspectives and texts

Perspectives and texts

Every text is written from somewhere, by someone, for someone. Once you can name the position a text is written from, you stop being a passenger in it and start being a reader of it.

1.1Perspective and representation

  • A perspective is the position or point of view from which a text presents its subject — the angle the world is seen from. It is not the same as an opinion, and it is not always stated.
  • A representation is the version of a person, place, event or idea that a text constructs for its reader. The word is deliberate: a representation is made, not found. A tourism advertisement does not record a beach; it builds one.
  • Representations are made by selection (what goes in), omission (what is left out), emphasis (what is placed first, repeated, or given most space) and word choice.
  • Texts position readers: they invite you to feel a certain way about what they show. Noticing the invitation is the first act of analysis.

1.2Purpose, audience and context

THREE QUESTIONS TO ASK OF ANY TEXT PURPOSE What is this text trying to DO to me: inform, persuade, entertain, reflect, or several at once? AUDIENCE Who is it addressed to, and what does it assume they already know, value and believe? CONTEXT When and where was it made, and when and where is it being read? Those are two different contexts. Answer all three before writing a word of analysis: every choice in the text was made with them in mind.
Figure 1.1 — the three questionsThe two contexts matter separately. The context of production is the world the text was made in; the context of reception is the world it is read in. A 1950s advertisement was persuasive then and can look absurd now — the text has not changed, the second context has.

1.3Denotation and connotation

Denotation is a word’s literal, dictionary meaning. Connotation is the freight it carries — the associations, attitudes and feelings that come with it. Two words can denote the same thing and connote opposite things, and that gap is where persuasion lives.

Shared denotationApproving wordDisapproving wordWhat the choice does
Careful with moneythriftystingyTurns a virtue into a meanness without changing a single fact
Will not change positiondeterminedstubbornPraises or condemns the identical behaviour
Wants to know thingscuriousnosyRecasts interest as intrusion
Sure of oneselfconfidentarrogantDecides for the reader how to judge the person
A place one liveshomeresidenceWarmth and belonging, against distance and officialdom

1.4Register, tone and mood

  1. Register is the level of formality and the kind of language a situation calls for. A safety notice, a text to a friend and a job application describe the same person in three registers — and getting it wrong is itself a message.
  2. Tone is the attitude the text takes towards its subject and its reader: sardonic, urgent, affectionate, clinical. Tone is created by word choice, sentence length, punctuation and what the writer chooses to dwell on.
  3. Mood is the feeling created in the reader. Tone belongs to the text; mood belongs to you. A cheerful tone can create an uneasy mood — and a writer who does that on purpose is worth writing about.
  4. Diction is the technical name for a writer’s choice of words; syntax is the arrangement of those words into sentences. Short sentences can create urgency; a long accumulating sentence can create weight or exhaustion.
How to name a choice, properly

Never write «the writer uses language». Name the level: diction (which word), syntax (how the sentence is built), structure (where it sits in the text), register (how formal), tone (what attitude). Then say what it does. Precision in the naming buys you precision in the explanation.

Unit 1 · Topic 2QCAA English U1T2Texts and culture

Texts and culture

Texts do not float free of the culture that made them. They carry its assumptions, repeat its habits, amplify some voices and leave others out — usually without ever announcing that they are doing it.

2.1Cultural assumptions and values

  • A cultural assumption is a belief a text takes for granted rather than argues for — that success means owning things, that the bush is empty, that a family looks a particular way. Because it is assumed, it is never defended, which is exactly what makes it powerful.
  • Values are what a text treats as good; attitudes are the stances it takes towards particular things. A text can state neither and still make both perfectly clear.
  • A stereotype is a fixed, simplified representation of a whole group, in which one trait stands in for every member. Its giveaway is predictability: every character from that group behaves the same way.
  • To find the assumptions, read for what is never questioned. The argument a text does not bother to make is the one it is most confident you already accept.

2.2Whose voice, and whose silence

Representation is also a question of who gets to speak. In any text, ask: who narrates? Who is described but never speaks? Whose experience would change the story if it were included?

QuestionWhat to look forWhy it matters
Who narrates?First or third person; whose thoughts we are allowed insideThe narrator’s access decides whose interior life feels real
Who is spoken about but not heard?Groups that appear only as description, scenery or problemBeing described rather than heard is a form of powerlessness
What is the silence?An experience the text never mentions at allWhat is absent shapes a reader as strongly as what is present
Who is the assumed reader?What the text expects you to already know or acceptIt reveals which audience the text was really built for
Three ways to read the position a text offers

A dominant (or preferred) reading accepts the position the text invites. A negotiated reading accepts some of it and resists the rest. A resistant reading questions the position deliberately — reading against the text. A resistant reading is not a misreading: it is a reading that declines the invitation, and it must still be argued from evidence in the text.

2.3Intertextuality

Intertextuality is the way texts take part of their meaning from other texts — echoing them, adapting them, mocking them, or answering back to them. Spot the borrowed text and you gain a second layer of meaning for free.

KindWhat it doesExample
AllusionA brief, indirect reference that assumes you will recognise itCalling a policy a Trojan horse, or a speech echoing a famous refrain
ParodyImitates the style of another text in order to mock it or its subjectA sketch that copies the look and voice of a nightly news bulletin
AdaptationMoves a text into another form or setting, keeping the storyA stage play made from a well-known novel; a film that relocates a Shakespeare plot to a modern school
RetellingTells a known story from a different point of view — often a silenced oneJean Rhys’s Wide Sargasso Sea, which gives a voice and a history to the first wife locked away in Charlotte Brontë’s Jane Eyre
Writing about intertextuality without waffling

Do three things: name the text being drawn on, say what the reader is expected to bring from it, and say what the new text does with that expectation — confirm it, complicate it, or overturn it. A retelling that gives the silenced character a voice is doing the third.

Unit 2 · Topic 1QCAA English U2T1Textual analysis — the craft

Textual analysis: the craft

This is the topic where marks are actually won. Close analysis means reading at the level of the individual choice — this word, this sentence break, this order of events — and then building an essay that argues one claim from beginning to end.

3.1What close analysis actually looks at

LevelWhat to noticeTerms you should be using
WordThe exact word chosen over its near-synonyms, and its connotationsDiction, connotation, emotive language, jargon
ImageComparisons and sensory detail, and what the comparison smuggles inMetaphor, simile, personification, imagery, symbol
SentenceLength, rhythm, what is delayed to the end, what is repeatedSyntax, repetition, anaphora, tricolon, short declarative
SoundHow the line moves when read aloudAlliteration, assonance, sibilance, rhythm
StructureOrder of events, framing, what is placed beside what, what recursJuxtaposition, motif, foreshadowing, framing, climax
Whole textWho speaks, how formal it is, what attitude it takesPoint of view, register, tone, perspective

3.2Embedding evidence

A quotation is not evidence until it is inside your own sentence, doing grammatical work. Compare:

SentenceWhy
WeakThe writer uses a metaphor. «The city was a furnace.» This shows it was hot.The quotation stands alone, the technique is only named, and the effect is a restatement of the literal meaning
BetterThe writer describes the city as «a furnace», which suggests extreme heat.Embedded and grammatical, but «suggests extreme heat» still only paraphrases
StrongBy reducing the city to «a furnace», the writer makes the heat feel industrial and inescapable, positioning the reader to read a weather report as a warning.Technique, evidence and effect in one sentence, with the effect on the reader named
  1. Keep quotations short — a phrase, often a single word. Long quotations fill space without proving anything, and they hide your argument.
  2. Square brackets mark a word you have altered or added so the quotation fits your sentence grammatically. An ellipsis marks words you have cut from the middle.
  3. Analytical present tense. The writer argues; the poem opens. Use it consistently, and write in third person.
  4. Never quote to prove a fact of plot. Quote to prove a claim about how the text works.

3.3Building the analytical essay

INTRODUCTION Name the text and its writer, then state the CONTENTION: the single arguable claim the whole essay proves. BODY PARAGRAPH, repeated for each point, in the order that builds the argument T — Topic names the point this paragraph will prove, in your own words E — Evidence a SHORT quotation, embedded inside your own sentence E — Explanation how the language works and what it does to the reader L — Link tie the point back to the contention, then lead to the next CONCLUSION Restate the contention in new words and say what the analysis has shown. No new evidence, no new quotations. Every box exists to serve the contention in the first box. If a sentence does not, cut it. Written in the present tense (the writer argues, the poem opens) and in third person. Always about HOW the text works on a reader, never a retelling of what happens in it.
Figure 3.1 — the analytical essay skeletonSchools name the paragraph formula differently — TEEL, PEEL, PETAL — but every version contains the same four jobs: make a point, prove it, explain it, connect it. The letters do not matter; leaving one of the four jobs out does.
Testing your contention before you write

A contention must be arguable. «The poem is about loss» is a topic, not a contention — nobody could disagree. «The poem refuses the comfort its own imagery keeps offering, leaving the reader without the consolation the form promises» is a contention: someone could argue the opposite, which means it is worth proving.

Unit 2 · Topic 2QCAA English U2T2Persuasion and the public sphere

Persuasion and the public sphere

Every day someone tries to move you: an editorial, an advertisement, a post, a politician. The tools they use are two and a half thousand years old and have not changed. Learn to name them and you can both resist them and use them.

4.1The three appeals

Aristotle named three ways a speaker can move an audience, and every persuasive text still runs on some mixture of them.

AppealWorks onSounds likeIts weakness
Ethos — credibilityWhether you trust the speaker«As a nurse of twenty years…», «I have no financial interest in this»Credentials in one field do not transfer to another
Pathos — emotionWhat you feel about the subject«Picture your own child waiting in that corridor»Feeling strongly is not the same as being right
Logos — reasoningWhether the argument holds together«Here is the arithmetic: 400 beds for 1,200 patients»Numbers can be true and still be selected to mislead
Kairos — timingWhy this argument, now«We have three weeks before the decision is made»Manufactured urgency is a common trick
Do not just label the appeal

«This is pathos» earns almost nothing. Say what the appeal is doing and to whom: «by asking the reader to picture their own child in the corridor, the writer converts a funding statistic into a personal threat, making disagreement feel like indifference». Same observation, three times the marks.

4.2The shape of an argument

  1. Contention. The single position the piece exists to prove, stated early and never lost sight of.
  2. Arguments and evidence. Each reason gets its own paragraph, supported by something a reader can check: statistics, expert opinion, examples, precedent.
  3. Rebuttal. Name the strongest objection to your own case and answer it. Anticipating it makes you look considered; ignoring it lets a reader think you did not know.
  4. Concession. Granting a small, true point that costs you nothing buys credibility for the point that matters.
  5. Call to action. End by saying what should now happen and who should do it. A persuasive piece that ends in agreement but no action has half-finished its job.
DeviceWhat it isWhat it does to a reader
Inclusive language«We», «our», «all of us»Places the reader inside the writer’s group before any argument is made
Rhetorical questionA question asked for effect, not for an answerMakes the reader supply the answer themselves, so it feels like their own conclusion
AnaphoraRepeating the same opening words across successive clausesBuilds rhythm and insistence; the repetition itself feels like accumulating proof
TricolonA group of three — the rule of threeSounds complete and memorable, which makes a claim easier to accept
Emotive languageWords chosen for their connotations, not their denotationDecides the reader’s judgement before they have weighed the facts
AnecdoteA short personal storyMakes an abstract issue concrete and hard to argue with, though one case is not evidence

4.3Logical fallacies

A fallacy is an argument that looks like reasoning but is not. Naming the fallacy is the cleanest possible rebuttal.

FallacyWhat it doesExample
Ad hominemAttacks the person instead of the argument«You would say that — you have never run a business.»
Straw manMisrepresents the opposing case so it is easier to defeat«They want a bike lane, so they want to ban cars.»
False dilemmaOffers only two options when more exist«Either we build the road or the town dies.»
Slippery slopeClaims one small step must lead to an extreme end, with no reason given«Allow this and within a year nothing will be legal.»
BandwagonTreats popularity as proof«Nine out of ten people agree, so it must be right.»
Hasty generalisationDraws a sweeping conclusion from far too few cases«Two students were late, so this generation has no discipline.»
Circular reasoningUses the conclusion as its own reason«It is the best option because nothing else is as good.»
Post hocAssumes that because B followed A, A caused B«Crime fell after the cameras went in, so the cameras cut crime.»

4.4Analysing persuasive media, and writing your own

  1. Find the contention first. Everything else in the text is in service of it. If you cannot state it in one sentence, you cannot analyse the text.
  2. Track the tone as it shifts. Persuasive pieces often open reasonably and harden later, or open in outrage and end in appeal. The shift is a deliberate choice and worth writing about.
  3. Read the visuals as argument. A photograph’s angle, a headline’s size, the colour of a graph, what is cropped out — these persuade alongside the words, and the analysis is the same: technique, effect, purpose.
  4. Writing your own: define the audience before the first sentence. The register, the evidence you choose and the objections you must answer all follow from who is reading. A letter to a council, a school assembly speech and an online comment on the same issue are three different texts.
Start hereYear 11 · GeneralModern History

History is an argument about evidence.

Senior Modern History is not a memory test. It is a skill: read a source, judge what it can and cannot tell you, and build a case. Four topics — the craft itself, the ideas that broke the old world, the movements that widened who counted as a citizen, and Australia's own version of the same story.

The mapUnits 1 and 2, four topics

  1. Unit 1, Topic 1 — The historian's craft. Provenance, reliability, usefulness, corroboration, and why interpretations change.
  2. Unit 1, Topic 2 — Ideas that changed the world. The Enlightenment, the French Revolution of 1789, and the spread of nationalism.
  3. Unit 2, Topic 1 — Movements for change. Abolition, women's suffrage, the US civil rights movement, and what makes a movement win.
  4. Unit 2, Topic 2 — National experiences: Australia in the modern world. Federation, the World Wars, White Australia and its dismantling, and Indigenous rights.
The three things senior History marks

Knowledge — the right event, the right year, the right order. Source analysis — a judgement about a source that names its provenance and separates reliability from usefulness. Argument — a contention, supported by specific evidence, that answers the question actually asked.

A dateless generalisation earns nothing. "Conditions were bad" is worth no marks; "the Commonwealth Franchise Act of 1902 enfranchised women federally while excluding most Aboriginal and Torres Strait Islander people" is worth several.

Unit 1 · Topic 1Modern HistoryThe historian's craft

The historian's craft: evidence, and what it will bear

Every other topic in this course depends on this one. History is not a list of things that happened; it is a set of claims about the past, each of which must be defended from sources — and every source was made by someone, for a reason.

1.1Primary and secondary sources

The division is about the source's relationship to the event, not about how old or how serious it looks.

 Primary sourceSecondary source
DefinitionCreated at the time of the event, by someone connected to itCreated later, interpreting the event using other sources
ExamplesA trench diary from 1916; the printed Declaration of the Rights of Man, 1789; a 1963 news photograph; a census return; a ration bookA textbook chapter; a documentary; a historian's journal article; an encyclopedia entry
What it gives youDirect traces — but always one person's angle on the eventContext, synthesis and an argument — but at second hand
The catchBeing "there" does not make it true or completeA secondary source is a primary source for the time it was written in
The classification depends on the question

A 2020 documentary about the Terror is a secondary source about 1793. But if your question is "how did the twenty-first century remember the French Revolution?", exactly the same film becomes a primary source. Always classify a source against the question you are asking.

1.2Provenance: the first question, every time

Provenance is the origin of a source: who made it, when, where, for whom, and why. Nothing sensible can be said about a source until its provenance is established, because every judgement that follows depends on it.

  • Who. A general's despatch, a private's letter and a war correspondent's report describe the same battle from three positions with three different sets of interests.
  • When. Written on the day, or in a memoir forty years later? Later means more perspective — and more time for memory to reshape the story into something the writer can live with.
  • For whom. A private diary, a letter home passed by the censor, and a recruiting poster have three different audiences and therefore three different levels of candour.
  • Why. Purpose is the strongest single clue to distortion. Sources made to persuade, to recruit, to excuse or to sell are shaped by that job.

1.3Reliability and usefulness are different judgements

This is the distinction senior History examiners test hardest, and the one students most often collapse into one.

 ReliabilityUsefulness
The question it answersCan I trust this source to be accurate about what it claims?Does this source help me answer my question?
What it depends onThe source alone — its author, purpose, distance from the event, and whether other evidence corroborates itThe source and the question. Change the question and the usefulness changes
Worked caseA 1917 recruiting poster is unreliable about the reality of the trenches: it was made to persuade, and it shows what the state wanted believedThe same poster is highly useful as evidence of government propaganda technique and of the appeals thought likely to work on the public
The ruleA source can be completely unreliable and still be extremely useful. What it is unreliable about is precisely what it is useful for.

Bias is not a reason to throw a source away, and "this source is biased" is not an analysis. Every source has a position. The analytical move is to say which way it leans, why its provenance makes it lean that way, and what it is still good evidence of.

Corroboration is the test that turns a single claim into a supported one: check it against sources that are independent of it. Two newspapers that both reprinted the same wire report are not independent, so their agreement proves nothing.

1.4Historiography: why interpretations change

Historiography is the study of how historians' accounts of a topic have changed over time. Interpretations shift for four reasons, and none of them is that the past changed.

  1. New evidence. Archives open — Soviet archives after 1991 rewrote a great deal of Cold War history.
  2. New questions. Once historians began asking about women, workers, colonised peoples and children, sources that had sat unread for a century suddenly mattered.
  3. New methods. Oral history, statistical analysis and digitised records reach material that traditional political history could not.
  4. The historian's own context. Writers work inside their own society's concerns. That is why contestability — genuine, informed disagreement between historians — is normal rather than a failure.
How to analyse a source in the exam — four moves, in order

1. Provenance. Name the type, author, date and purpose in one sentence: "a British recruiting poster issued in 1915 by the Parliamentary Recruiting Committee, intended to raise volunteers."

2. Content. Quote or describe one specific detail. Not "it shows soldiers" — "it shows a smiling, uninjured soldier waving from a clean trench."

3. Reliability. Judge accuracy and give the reason from the provenance: "as a persuasive document it omits casualties, so it is not reliable evidence of trench conditions."

4. Usefulness, tied to the question. "It is nevertheless very useful for the question of how recruitment was sold to the public in 1915." Then, if you have another source, corroborate.

Unit 1 · Topic 2Modern HistoryIdeas that changed the world

Ideas that changed the world: reason, rights, revolution

In 1750 almost every European was a subject of a monarch who ruled by the grace of God. Within two generations millions had begun to describe themselves as citizens of a nation, holding rights nobody had granted them. That change of vocabulary is the subject of this topic.

2.1The Enlightenment

The Enlightenment was an eighteenth-century movement of thinkers who argued that human affairs — government, law, religion, economics — should be examined by reason and evidence rather than accepted on the authority of tradition, church or king. Immanuel Kant summed up its motto in 1784 as sapere aude: dare to know.

ThinkerKey workThe idea that mattered
John LockeTwo Treatises of Government, 1689People hold natural rights to life, liberty and property; government exists by their consent and may be replaced if it breaks that trust
MontesquieuThe Spirit of the Laws, 1748Separation of powers — legislative, executive and judicial — so that no single body can dominate
VoltaireLetters and pamphlets, from the 1730sReligious toleration and freedom of expression, against censorship by church and state
Denis DiderotThe Encyclopédie, 1751–1772Collect and publish all useful knowledge, so that ordinary readers could judge for themselves
Jean-Jacques RousseauThe Social Contract, 1762Legitimate authority comes from the general will of the people, not from a hereditary ruler
Adam SmithThe Wealth of Nations, 1776Wealth grows through free exchange and the division of labour, not through hoarding by the state
Mary WollstonecraftA Vindication of the Rights of Woman, 1792If rights follow from reason, and women reason, then rights and education must extend to women
Ideas become practice: America first

The American Declaration of Independence of 1776 and the United States Constitution of 1787, with its Bill of Rights ratified in 1791, put Locke's consent and Montesquieu's separated powers into working institutions. French officers who fought in that war — Lafayette among them — carried the demonstration home: the ideas were not merely arguable, they had been built.

2.2Case study: the French Revolution from 1789

France in 1789 was bankrupt from war, taxed through a system in which the two privileged orders paid least, and legally divided into three Estates: the clergy, the nobility, and everybody else — the Third Estate, about 97 per cent of the population. Louis XVI summoned the Estates-General in May 1789 for the first time since 1614, to solve the deficit. He lost control of it within weeks.

May 1789 26 Aug 1789 Sept 1792 Sept 1793 – July 1794 1804 the Estates-General meets at Versailles Declaration of the Rights of Man and of the Citizen monarchy abolished; the Republic proclaimed the Terror Robespierre falls 27 July 1794 Napoleon crowned Emperor; the Civil Code is issued 14 July 1789 Sept 1791 21 Jan 1793 9 Nov 1799 the Bastille is stormed in Paris Olympe de Gouges publishes the Rights of Woman Louis XVI is executed by guillotine in Paris Napoleon seizes power in the coup of 18 Brumaire The nine ticks are in chronological order; the spacing between them is even, not to scale.
Figure 2.1 — the French Revolution, 1789 to 1804Read the shape, not just the dates: an assembly (May 1789), a popular rising (July 1789), a declaration of principle (August 1789), a republic (1792), state terror (1793–94), and finally one man with an army (1799, then Emperor in 1804). Revolutions that begin by dispersing power have a habit of ending by concentrating it — and that pattern is what the topic asks you to explain.
Figure 2.2 — the Revolution on the mapParis made the Revolution and Paris ran the Terror; the provinces, especially the west, fought back. Versailles is only 20 km from the Bastille, which is why the crowd could walk there in October 1789 and bring the king back.

Causes: why 1789 and not some other year

  • Financial. France's support for the American revolutionaries left the crown effectively bankrupt by 1788. Calling the Estates-General was a last resort to raise taxes.
  • Social and legal. Privilege was written into law. The First and Second Estates held exemptions the Third Estate paid for, and the Third Estate contained the wealthy, educated bourgeoisie who resented it most articulately.
  • Economic and immediate. The harvest of 1788 failed; by July 1789 bread took a very large share of a labourer's daily wage. Hunger supplied the crowds.
  • Intellectual. Enlightenment vocabulary gave the grievance a language: not "the king is unjust to us" but "sovereignty belongs to the nation."

The Declaration of the Rights of Man and of the Citizen, 26 August 1789

Adopted by the National Constituent Assembly three weeks after the Bastille fell, the Declaration set out the principles the new France claimed to rest on: that men are born and remain free and equal in rights; that sovereignty resides in the nation; that law is the expression of the general will; and that liberty, property, security and resistance to oppression are natural rights. On 4 August 1789 the Assembly had already voted away feudal privileges.

Who the Declaration left out

The 1789 Declaration used the word homme — man. Women received no political rights, and in September 1791 Olympe de Gouges published the Declaration of the Rights of Woman and of the Female Citizen, rewriting each article to include them. She was guillotined in 1793. Slavery in the French colonies was not abolished until 1794, and Napoleon restored it in 1802; the enslaved people of Saint-Domingue had already taken the Declaration at its word, rising in 1791 and winning independence as Haiti on 1 January 1804. The gap between a declaration of universal rights and the list of people it actually covered is one of the great essay questions of this topic.

The Terror, and Napoleon

  • The monarchy was abolished in September 1792 and Louis XVI executed on 21 January 1793. Foreign invasion, civil war in the Vendée and food riots followed.
  • The Terror ran from September 1793 to July 1794 under the Committee of Public Safety, dominated by Maximilien Robespierre. Roughly 17,000 people were formally executed after trial by the revolutionary tribunals; many thousands more died in prison or without trial, and historians' totals for the whole period differ considerably. It ended when the Convention turned on Robespierre: he fell on 27 July 1794 and was executed the next day.
  • Napoleon Bonaparte seized power in the coup of 18 Brumaire, 9 November 1799, crowned himself Emperor on 2 December 1804, and issued the Civil Code in 1804. He was finally defeated at Waterloo on 18 June 1815.
  • Napoleon's paradox is worth stating in an essay: he destroyed the Republic while exporting its administrative achievements — equality before the law, careers open to talent, secular civil codes — across the whole of Europe.

2.3The spread of nationalism

Figure 2.3 — two nations made on the mapThe two unifications ran in step, both finished by war, and both had to beat Austria to happen. The last marker is the sting: Germany was proclaimed in France's palace, a humiliation that 1919 would repay.

Nationalism is the belief that humanity divides into nations, that each nation has a right to govern itself, and that the state should match the nation. Before 1789 loyalty was owed to a dynasty; after 1789 it was increasingly claimed by a people.

  • Revolutionary France invented the mass citizen army: the levée en masse of 1793 conscripted men to fight for the nation rather than for a king.
  • Napoleon's conquests spread the model twice over — by imposing French codes and administration, and by provoking resistance in Spain, the German states and Italy that taught those peoples to think of themselves as nations.
  • The Congress of Vienna, 1814–15, tried to restore the dynastic order; the revolutions of 1848 showed it could not be restored for long.
  • The logic worked itself out in two new great powers: the Kingdom of Italy proclaimed on 17 March 1861 (with Rome added in 1870), and the German Empire proclaimed on 18 January 1871.
  • The same idea had a darker edge. If the state should match the nation, then people inside the borders who are defined as outside the nation become a problem to be solved — a logic that runs directly into the twentieth century.
Unit 2 · Topic 1Modern HistoryMovements for change

Movements for change: how the excluded got in

The Enlightenment declared rights for "man" and then spent two centuries arguing about who counted. Three movements — against slavery, for women's votes, for Black American civil rights — forced the answer wider. Studied together, they reveal a repeatable method.

3.1The abolition of slavery

Figure 3.1 — the trade, and the campaign to end itTwo maps in one: the triangle that carried about twelve million people across the Atlantic, and the dates that closed it, first the trade, then the institution.
DateEventWhy it mattered
1772Somerset's case, EnglandAn English court found that slavery had no support in English law — a legal foothold campaigners used for decades
1787The Society for Effecting the Abolition of the Slave Trade is foundedInvented the modern campaign: mass petitions, a logo, boycotts of slave-grown sugar, and printed eyewitness evidence
1789Olaudah Equiano publishes his life storyA formerly enslaved author testifying in his own voice, touring Britain to sell the book — testimony that could not be dismissed as hearsay
1791–1804The Haitian RevolutionEnslaved people of Saint-Domingue took the Declaration of 1789 literally and won; Haiti declared independence on 1 January 1804
1807The Slave Trade Act (Britain)Abolished the trade in enslaved people in the British Empire — not slavery itself
1833The Slavery Abolition Act (Britain)Abolished slavery through most of the Empire, in force from 1 August 1834. Compensation of about £20 million was paid to slave owners, and none to the enslaved
1865The 13th Amendment (United States)Ratified on 6 December 1865, after the Civil War, abolishing slavery in the United States
1888Brazil abolishes slaveryThe last country in the Americas to do so

Note the two-step in Britain — 1807 the trade, 1833 the institution. Confusing them is the most common error in this topic. Note too that abolition was never only a gift from parliaments: resistance, escape and revolt by enslaved people themselves made the system expensive and unstable.

3.2The campaign for women's suffrage

DateWhereWhat was won
1893New ZealandThe first self-governing country in the world where women won the vote in national elections. Women could not yet stand for parliament there until 1919
1894South AustraliaWomen won the vote and the right to stand for parliament — the first place in the world to grant both. The Act passed in December 1894 and came into force in 1895
1899Western AustraliaThe second Australian colony to enfranchise women
1902Commonwealth of AustraliaThe Commonwealth Franchise Act 1902 gave women a federal vote and the right to stand for federal parliament — while its section 4 excluded most Aboriginal and Torres Strait Islander people from the federal roll
1918United KingdomThe Representation of the People Act gave the vote to women over 30 who met a property qualification — a partial win, deliberately limited
1920United StatesThe 19th Amendment was ratified on 18 August 1920. In practice, Black women in the South remained barred by the same devices used against Black men until 1965
1928United KingdomThe Equal Franchise Act lowered the age to 21, finally equalising the franchise with men
  • Two British methods, and the argument between them: the suffragists (National Union of Women's Suffrage Societies, led by Millicent Fawcett) petitioned, lobbied and argued; the suffragettes (Women's Social and Political Union, founded by Emmeline Pankhurst in 1903) used militant direct action, imprisonment and hunger strikes. Emily Wilding Davison stepped in front of the King's horse at the Derby on 4 June 1913 and died of her injuries four days later.
  • Australia's early success owed much to its colonies being small, new and already experimenting: an unusually wide male franchise made extending it to women a smaller step than in Britain.
  • Australia's 1902 franchise is the course's sharpest example of a right being widened and restricted in the same Act — and the restriction was not lifted federally until 1962.

3.3The United States civil rights movement

Figure 3.3 — the movement on the mapThe cluster in Alabama is not an accident: Montgomery, Birmingham and Selma were where segregation was hardest and where the pictures were taken.
DateEventSignificance
1954Brown v. Board of Education, 17 MayThe Supreme Court held that segregated public schools were unconstitutional, overturning the "separate but equal" doctrine of 1896
1955–56The Montgomery bus boycottBegan after Rosa Parks was arrested on 1 December 1955 and ran to 20 December 1956 — just over a year of sustained, disciplined economic pressure. It made Martin Luther King Jr a national figure
1957Little Rock Central High SchoolFederal troops escorted nine Black students into a white school, forcing Washington to choose a side
1960The Greensboro sit-ins, from 1 FebruaryStudent-led non-violent direct action spread to dozens of cities within weeks
1961The Freedom RidesIntegrated bus rides through the South; the televised violence against them moved national opinion
1963The March on Washington, 28 AugustAbout a quarter of a million people; King's "I Have a Dream" speech put the moral case to a mass television audience
1964The Civil Rights Act, 2 JulyOutlawed segregation in public accommodation and discrimination in employment
1965Selma marches, March; the Voting Rights Act, 6 AugustSuspended literacy tests and put federal officers into counties that had used them — the law that finally delivered the vote
1968King is assassinated, 4 AprilThe movement fragmented, but the legislative gains held

3.4How movements succeed

Compare the three and the same six ingredients appear. This is the framework to use when an exam asks you to evaluate the effectiveness of a movement.

  1. A clear, single demand. "Abolish the trade." "Votes for women." "Register to vote." A demand you can put on a placard can be conceded; a general complaint cannot.
  2. Organisation that outlasts individuals. Committees, subscriptions, newspapers and local branches keep a campaign alive across decades.
  3. Testimony from the people affected. Equiano's book, hunger-strike accounts, Parks's arrest — first-hand evidence is far harder to dismiss than argument alone.
  4. Sympathetic publicity, and the moral contrast it creates. Non-violent marchers met with violence made the case in a way words could not, because the pictures reached people who were not looking for an argument.
  5. Allies inside the institutions. Wilberforce in the Commons, Fawcett's parliamentary lobbying, President Johnson signing in 1964 and 1965. Pressure from below needs a lever at the top.
  6. A change in the law — then enforcement. This is the step students forget. The 19th Amendment of 1920 did not enfranchise Black women in the South; the Voting Rights Act of 1965 did. A right that is not enforced is not yet a right.
Unit 2 · Topic 2Modern HistoryNational experiences — Australia

Australia in the modern world: 1901 to 2008

A nation founded in 1901 on a restricted definition of who belonged, tested by two world wars, and then spending half a century widening that definition — in immigration law, and in the rights of the people who had been here for tens of thousands of years.

4.1Federation, 1901 — and who was excluded

On 1 January 1901 six self-governing British colonies became the Commonwealth of Australia, under a Constitution drafted in the 1890s and enacted by the British Parliament. Federation was argued for on defence, free trade between the colonies, a common railway gauge and a shared immigration policy — and that last argument was, in plain terms, the desire for a "white" Australia.

  • The Immigration Restriction Act 1901 was among the first laws of the new parliament, passing in December 1901. Its instrument was the dictation test: an officer could require an intending immigrant to write fifty words dictated in a European language (from 1905, any prescribed language). Because the officer chose the language, anyone could be failed, and the Act avoided naming a race in its text.
  • The Pacific Island Labourers Act 1901 provided for the deportation of Pacific Islander workers, most of whom had been brought to Queensland's cane fields, many of them by coercion or kidnapping ("blackbirding").
  • Section 127 of the Constitution excluded Aboriginal people from being counted in reckoning the population, and section 51(xxvi) gave the Commonwealth power over "the people of any race" except Aboriginal people — leaving them to the states. Both provisions were altered by the 1967 referendum.

4.2Australia in the World Wars

Figure 4.2 — where Australians fought, 1915 to 1918The same campaigns the table names, placed: Gallipoli (8,000 dead), then the Western Front, where the great majority of the 60,000 died.
 First World War, 1914–18Second World War, 1939–45
EntryAutomatically at war when Britain declared war on 4 August 1914Prime Minister Menzies announced on 3 September 1939 that Australia was at war, following Britain
Defining campaignThe landing at Gallipoli on 25 April 1915; the peninsula was evacuated in December 1915. Far heavier losses followed on the Western Front in 1916–18The bombing of Darwin on 19 February 1942, the naval Battle of the Coral Sea in May 1942, and the Kokoda campaign in Papua from July to November 1942
LossesAbout 60,000 Australian deaths from a population of fewer than five million; more than 8,000 of them at GallipoliAbout 39,000 Australian deaths; more than 22,000 Australians were taken prisoner by Japan, and about a third of them died in captivity
Political fractureTwo conscription plebiscites, on 28 October 1916 and 20 December 1917 — both defeated, splitting the Labor Party and the countryThe fall of Singapore on 15 February 1942 ended faith in British protection; Prime Minister Curtin had already turned to the United States in a New Year message published on 27 December 1941
The turn to the United States — a favourite essay

1942 is the hinge of twentieth-century Australian foreign policy. Singapore fell, Darwin was bombed, and Curtin recalled Australian divisions from the Middle East against Churchill's wishes. The alliance formalised in the ANZUS Treaty of 1951 is the direct descendant of that decision. Explain it as a shift in strategic dependence, not as a sudden dislike of Britain.

4.3Dismantling White Australia, 1958–1973

The policy was not repealed in a single stroke. It was taken apart over fifteen years by three governments, under pressure from post-war labour shortages, decolonisation in Asia, and the embarrassment of defending a racial policy at the United Nations.

  1. 1958 — the Migration Act. Abolished the dictation test and replaced it with a system of entry permits. The discretion remained, but the most notorious instrument was gone.
  2. 1966 — the Holt government's review. Non-European people could apply to settle on the basis of their qualifications and suitability, and residence requirements for citizenship were equalised. This is the point at which the policy stopped operating as a blanket bar.
  3. 1973 — the Whitlam government. The last racial criteria were removed from immigration policy and all migrants became eligible for citizenship after three years' residence regardless of origin. The Racial Discrimination Act 1975 then made selection by race unlawful.

The post-war programme that ran alongside all this was itself huge: from 1945 Australia took in millions of migrants, at first from Britain, then from displaced-persons camps across Europe, then from southern Europe, and from the mid-1970s from Vietnam and the rest of Asia — the shift from assimilation to multiculturalism as official policy.

4.4Indigenous rights milestones

1 Jan 1901 25 April 1915 1958 27 May 1967 3 June 1992 Federation — six colonies become one nation the Gallipoli landing Anzac Day dates from this the dictation test is abolished (Migration Act 1958) referendum carried, 90.77% yes census, and Commonwealth power Mabo: the High Court rejects terra nullius Dec 1901 19 Feb 1942 1962 1973 13 Feb 2008 Immigration Restriction Act — the White Australia policy Darwin is bombed the mainland is attacked the federal vote for all First Nations people race removed from immigration policy the National Apology to the Stolen Generations The ten ticks are in chronological order; the spacing between them is even, not to scale.
Figure 4.1 — Australia, 1901 to 2008The same century runs in two directions at once. The nation opens by writing exclusion into law (1901), and then spends fifty years unwriting it — the vote in 1962, the referendum in 1967, immigration in 1973, native title in 1992, and an apology in 2008. Use this ordering in an essay: it is the spine of the topic.
DateMilestoneWhat it actually did
1962Commonwealth Electoral ActGave all Aboriginal and Torres Strait Islander people the right to enrol and vote in federal elections. Enrolment remained voluntary for them until 1984. Queensland was the last state to grant state voting rights, in 1965
1965The Freedom RideCharles Perkins and Sydney University students toured western New South Wales towns in February 1965, exposing segregation in pools, cinemas and clubs to national media
1966The Wave Hill walk-offVincent Lingiari led Gurindji stockmen off a Northern Territory station on 23 August 1966. A strike over wages became a claim for the land itself
1967The referendum, 27 MayCarried with 90.77% voting yes. It deleted section 127 so Aboriginal people were counted in the census, and amended section 51(xxvi) so the Commonwealth could make laws for them
1971Neville Bonner enters the SenateThe first Aboriginal member of the federal parliament
1972The Aboriginal Tent EmbassyEstablished on the lawns of Parliament House on 26 January 1972, reframing the claim as one of sovereignty and land rights
1975–76Land rightsThe Racial Discrimination Act 1975; the Gurindji handback at Wattie Creek in August 1975; the Aboriginal Land Rights (Northern Territory) Act 1976
1992Mabo v Queensland (No 2), 3 JuneThe High Court rejected terra nullius and recognised native title at common law where a continuing connection to country could be shown. The Native Title Act 1993 then built a process around it
1997Bringing Them HomeThe national inquiry's report on the forced removal of Aboriginal and Torres Strait Islander children — the Stolen Generations — and the evidentiary basis for what followed
2008The National Apology, 13 FebruaryPrime Minister Kevin Rudd apologised in Parliament to the Stolen Generations, eleven years after the report recommended it
What the 1967 referendum did NOT do

It did not give Aboriginal people the vote — that was 1962 federally. It did not grant citizenship, which they already held. It did not by itself deliver equal pay, land or rights. Writing "in 1967 Aboriginal people got the vote" is a factual error that examiners look for. What it did was remove section 127 and change section 51(xxvi) — and give the movement an overwhelming public mandate.

Start hereYear 11 · GeneralDesign

Design is a decision you can defend.

Senior Design is not judged on whether your idea looks good. It is judged on whether you found the real need, generated enough options to have a genuine choice, tested them, and can show why the one you resolved is the right answer. Four topics take you through that argument.

The mapUnits 1 and 2, four topics

  1. Unit 1, Topic 1 — Design in practice. What designers do, human-centred design, explore–develop–resolve, stakeholders, and measurable criteria.
  2. Unit 1, Topic 2 — Exploring needs. Observation, interviews and surveys; empathy and personas; framing and reframing the problem.
  3. Unit 2, Topic 1 — Developing ideas. Divergent techniques, convergent evaluation with a weighted matrix, prototyping, and iteration.
  4. Unit 2, Topic 2 — Communicating and evaluating design. Sketching and drawing, storyboards, pitching, evaluation, ethics, sustainability and IP.
The habit that earns marks in senior Design

Every decision gets a reason attached to evidence. Not "I chose stainless steel because it looks better", but "I chose stainless steel because criterion 2 requires the bottle to survive 200 drops, and the drop test destroyed the polymer sample at 60." Design folios lose marks for undefended decisions far more often than for weak ideas.

Unit 1 · Topic 1DesignDesign in practice

Design in practice: what designers actually do

Most of a designer's work happens before anything is drawn. It is finding out who the design is for, agreeing what "good" would mean, and writing that down in a form that can be tested later.

1.1The job, honestly described

  • Designers frame problems. The brief you are given is rarely the problem you should solve; part of the job is to find out what is actually going wrong.
  • Designers work inside constraints — budget, materials, standards, time, existing equipment. A design that ignores a constraint is not bold, it is unusable.
  • Designers generate options and then choose. One idea is not a design process; it is a guess.
  • Designers test with people and change the design when the test says so, not when they personally lose interest in it.
  • Designers communicate — to clients, to makers, to users. An undocumented design cannot be built or bought.

1.2Human-centred design

Human-centred design means the needs, capabilities and behaviour of real people drive the design, and the design is then tested against those people rather than against the designer's taste. It rests on four commitments.

  1. Understand the users, their tasks and their environment. A hospital ward at 3 a.m. is not the same environment as a showroom.
  2. Involve users throughout, not just at the end in a satisfaction survey. Design with people, not merely for them.
  3. Iterate. Design, test, change, test again. The first version is a question, not an answer.
  4. Address the whole experience — finding it, buying it, unpacking it, learning it, using it, maintaining it, disposing of it. Not only the moment of use.
The commonest misreading

Human-centred design is not "ask people what they want and build it." People are excellent witnesses to their problems and unreliable designers of solutions. Your job is to take their problem seriously and then do the designing.

1.3The design process: explore, develop, resolve

EXPLORE understand the problem needs, stakeholders, criteria DEVELOP generate, prototype, test diverge, then converge RESOLVE finalise and communicate evaluate against the criteria a defined problem, criteria and constraints evaluation exposes new needs a tested, chosen concept The process is iterative: you may return to an earlier phase at any point, not only at the end.
Figure 1.1 — explore, develop, resolveEach arrow carries something specific from one phase to the next: a defined problem with criteria into develop, a tested, chosen concept into resolve, and from resolve the evaluation that exposes the next need. The loop is the point — a design process drawn as a straight line from brief to product is a description of guessing.
PhaseWhat you doWhat you must have at the end
ExploreInvestigate the situation, identify stakeholders and needs, research existing solutions, define the problemA written problem statement and a set of measurable design criteria
DevelopGenerate many ideas, combine and refine them, prototype, test with users, evaluate against the criteriaOne resolved concept, and the evidence that chose it over the others
ResolveFinalise details, produce presentation and technical drawings, pitch, evaluate the outcomeA communicated solution and an honest evaluation against the original criteria

1.4Stakeholders, needs, wants and constraints

A stakeholder is anyone affected by the design, not just the person paying for it. For a school locker redesign the stakeholders include students, cleaners, teachers on duty, the maintenance staff who repair them and the business manager who buys them — and their interests conflict. Naming them early is what stops a design that pleases one group and fails the rest.

TermThe test that identifies itLocker example
NeedRemove it and the design fails its purposeA bag and a laptop must fit and be securable
WantRemove it and the design still works, just less wellStudents would like to choose the colour
ConstraintA limit set from outside that you cannot design awayA $180 per locker budget; a 2.4 m ceiling; the corridor must stay 1.5 m wide for egress

1.5Writing a design criterion that can be tested

A design criterion is a statement the finished design can be measured against. Three parts make it usable: what is measured, how it is measured, and the target that counts as a pass.

Weak criterionWhy it failsRewritten so it can be tested
The locker should be strongStrong against what, measured how?The door withstands a 400 N horizontal push at its centre without permanent deformation
It should be easy to use"Easy" is not observableA Year 7 student, untrained, opens and closes it within 10 seconds on the first attempt
It should be sustainableNo boundary and no measureAt least 80% of its mass by weight is recyclable steel, and it separates into materials with hand tools in under 5 minutes
The one-sentence test

Read your criterion and ask: what experiment would prove this true or false? If you cannot say the test in one sentence, the criterion is not measurable yet — and it will be useless in the evaluation, which is where the marks are.

Unit 1 · Topic 2DesignExploring needs

Exploring needs: research, empathy and the real problem

The most expensive mistake in design is solving the wrong problem beautifully. This topic is the discipline that prevents it: find out what people actually do, understand why, and write the problem down before you draw anything.

2.1Research methods, and what each is actually for

MethodBest forIts weaknessHow to run it well
ObservationFinding out what people do, including the workarounds they never mentionTells you what, rarely why; people behave differently when watchedWatch a real task in the real place. Record actions and times, not opinions
InterviewFinding out why — motives, frustrations, historySmall numbers; easy to lead the answer you wantOpen questions. Ask about the last real time it happened, then ask "why" again
SurveyBreadth — how common is the problem across many peopleShallow; a badly worded question produces confident nonsenseShort, one idea per question, no leading wording, and pilot it on five people first
Product / competitor analysisLearning from what already exists, and finding the gapAnchors you to existing solutionsCompare against your criteria, and note what each existing product refuses to solve
Secondary researchStandards, dimensions, materials data, market and demographic figuresNot specific to your usersCite the source. Anthropometric data and Australian Standards belong here
The say–do gap

People under-report the embarrassing and over-report the virtuous. Ask students whether they use the recycling bin and most say yes; watch the courtyard at lunch and count. Where an interview and an observation disagree, the observation is usually closer to the truth — and the disagreement itself is a finding worth writing down.

Research ethics. Explain what you are doing and get consent, especially with minors. Do not photograph people without permission. Store names separately from responses, and report findings in a way that does not identify an individual.

2.2Empathy and personas

Empathy in design is a working method, not a feeling: it is the deliberate effort to understand a situation from the user's position, including the constraints you do not personally share — arthritic hands, a shift that ends at midnight, no home internet.

  • An empathy map organises what you learned into four boxes for one user: what they say, think, do and feel. Contradictions between the boxes are the most useful part.
  • A persona is a one-page fictional character that stands for a group of real users: a name, a photograph or sketch, a context, goals, frustrations, and the constraints that matter. It is a summary of research, not an invention.
  • A persona with no research behind it is worse than useless, because it lets the team argue confidently about somebody who does not exist. Every claim on the page should be traceable to an interview, an observation or a survey result.
  • Design for the edges as well as the average: a door handle that works for someone with limited grip works for everyone carrying a box.

2.3Defining the design problem

A problem statement written before the research is a guess. One written after it should name who, what and why it matters, and it must not contain a solution.

StatementVerdict
"Design a bigger bin for the courtyard."Not a problem statement — it names a solution and closes off every other option
"The courtyard is messy."Too vague — no user, no evidence, nothing to measure
"Year 7–9 students eating in the courtyard leave about 40 items of litter per lunch break, because the nearest bin is 25 m away and out of sight from the seating."Usable — names the users, quantifies the problem, and states an observed cause without prescribing the fix

2.4Framing and reframing

Framing is choosing which problem to solve. Reframing is deliberately restating it a different way to open up options that the first frame hid.

  • The classic case: tenants complain the lift is too slow. Framed as "make the lift faster", the answer is a costly mechanical upgrade. Reframed as "make the wait feel shorter", the answer is mirrors and a floor indicator in the lobby — and the complaints stop. Same evidence, different frame, far cheaper solution.
  • How might we… is the standard reframing device. "How might we make litter easier to dispose of than to drop?" is broader than "how might we design a bin?" but still bounded.
  • Test a frame by asking what solutions it makes impossible. If the answer is "all but one", the frame is too narrow.
  • Reframing has a limit. Widen the frame far enough and you can no longer test anything — "how might we improve society?" is not a design brief.
Unit 2 · Topic 1DesignDeveloping ideas

Developing ideas: diverge, then converge, then prototype

Developing is two opposite skills used in strict order. First widen — generate far more ideas than you need, without judging any of them. Then narrow — evaluate them against the criteria you wrote in Unit 1, using arithmetic you can show a client.

3.1Divergent techniques

Brainstorming, with the rules that make it work

  1. Defer judgement. No criticism during generation — including your own, and including "that's too expensive."
  2. Go for quantity. Set a target and a timer: forty ideas in fifteen minutes. Volume is what shakes loose the unobvious ones.
  3. Welcome wild ideas. An impossible idea is often a usable idea wearing a disguise, and it is easier to tame a wild idea than to enliven a dull one.
  4. Build on the ideas of others. "Yes, and…" rather than "yes, but…".
  5. One conversation at a time, and stay on topic. Write and sketch every idea where everyone can see it.

SCAMPER — seven prompts against a stuck idea

PromptQuestion to askApplied to a school water bottle
SubstituteWhat material, part or step could be swapped?Replace the plastic body with recycled aluminium
CombineWhat could be merged with it?Combine the lid with the carry loop so the loop cannot be lost
AdaptWhat works elsewhere that could be adapted?Adapt the bayonet lock used on camera lenses for a one-quarter-turn lid
ModifyWhat could be made bigger, smaller or a different shape?Flatten the cross-section so it sits in a laptop sleeve
Put to another useWhat else could it be, or serve?The cap doubles as a measuring cup
EliminateWhat could be removed entirely?Remove the separate silicone seal by moulding the thread as a seal
Reverse / rearrangeWhat if the order or orientation were reversed?Open it from the base for cleaning instead of through the neck

Biomimicry

Biomimicry borrows a strategy from nature, not a shape. Ask what problem an organism has already solved, and how.

  • Velcro — George de Mestral examined the burdock burrs stuck to his dog under a microscope in the 1940s and copied the hook-and-loop mechanism.
  • The Shinkansen 500 series nose — reshaped after the kingfisher's beak to reduce the pressure wave, and therefore the boom, as the train left a tunnel.
  • Lotus-effect surfaces — microscopic bumps on the lotus leaf make water bead and roll off, carrying dirt with it; copied in self-cleaning paints and glass.
  • The discipline is to state the function first: "how does nature reduce drag?", then look. Copying a leaf's outline onto a chair is styling, not biomimicry.

Morphological analysis

Break the design into independent parameters, list options under each, then combine across the columns — including combinations you would never have thought of deliberately.

Body materialLid mechanismCarry methodInsulation
Stainless steelScrew threadMoulded finger loopNone
Recycled aluminiumQuarter-turn bayonetCarabiner clipDouble wall vacuum
Co-polyesterFlip-top with buttonSilicone sleeve strapNeoprene sleeve

With 3 options in each of 4 columns there are 3 × 3 × 3 × 3 = 81 combinations. You will not evaluate 81, but generating them is how you find the ones nobody proposed out loud.

3.2Converging: the weighted decision matrix

Once you have many ideas you need a defensible way to choose. A weighted decision matrix scores each concept against each criterion, multiplies by how much that criterion matters, and totals the result. The arithmetic is trivial; the value is that the weights and scores are visible and arguable, so a client can challenge a number rather than your taste.

The brief. A refillable water bottle sold to a school. The school states that durability matters most (bottles get dropped daily for five years), cost and cleaning matter equally and moderately, and portability matters least. Weights are agreed with the client before scoring, and total 10. Each concept is scored out of 5 on each criterion.

CriterionWeight A — steel
score
A weighted B — aluminium
score
B weighted C — co-polyester
score
C weighted
Durability555 × 5 = 2544 × 5 = 2022 × 5 = 10
Unit cost222 × 2 = 444 × 2 = 855 × 2 = 10
Ease of cleaning244 × 2 = 833 × 2 = 655 × 2 = 10
Portability122 × 1 = 244 × 1 = 455 × 1 = 5
Weighted total (out of 50)10393835
Unweighted total (out of 20)131517

Check the arithmetic yourself. A: 25 + 4 + 8 + 2 = 39. B: 20 + 8 + 6 + 4 = 38. C: 10 + 10 + 10 + 5 = 35. The maximum possible is 5 × 10 = 50, because the weights total 10 and the highest score on any criterion is 5.

Why weighting is the whole point

Add the raw scores and C wins, 17 to 13. Apply the client's weights and A wins, 39 to 35. Nothing about the concepts changed — only the statement of what this client values. That is exactly the argument a matrix exists to make visible, and it is why the weights must be agreed with the client before any concept is scored. Agreeing them afterwards is just choosing your favourite and reverse-engineering the numbers.

Two honest limits to state in a folio: the scores are still judgements, so say what evidence each one rests on; and totals of 39 and 38 are not a real difference — when concepts finish that close, the matrix has told you to test both, not to pick one.

3.3Prototyping and iteration

 Low-fidelity prototypeHigh-fidelity prototype
What it isPaper, card, foam, tape, a wireframe sketch, a cardboard mock-up at full sizeCAD model, 3D print, working mechanism, a coded and clickable interface
What it testsConcept, layout, size, sequence, whether the idea makes sense at allFit, function, materials, tolerances, real usability, manufacturability
Cost and speedHours, almost free — so you can build five and throw four awayDays to weeks, and expensive
The hidden effectPeople criticise it freely, because it clearly is not finished — which is what you wantPeople comment on the finish instead of the idea, and the team becomes reluctant to change something they spent a fortnight making
Use it whenEarly, while the concept is still in questionLate, once the concept is settled and the details need proving
  • Iteration is a loop driven by test results: build, test with real users on a real task, record what the design caused, change the design, test again with someone new.
  • Record what the design did wrong, not what the user "should have known". "Three of five testers pulled the handle that was meant to be pushed" is a design finding; "users were confused" is not.
  • Change one significant thing at a time where you can, or you will not know which change fixed the problem.
  • Keep every version and the test data. In senior Design the trail of evidence is assessed, not just the final object.
Unit 2 · Topic 2DesignCommunicating and evaluating design

Communicating and evaluating: making the case

A design that cannot be understood cannot be built, bought or judged. This topic covers the drawings that carry an idea, the pitch that sells it, the evaluation that tests it honestly — and the responsibilities that come with putting something into the world.

4.1Sketching conventions and annotation

  • Thumbnails are small, fast and many — twenty on a page. They exist to compare options, so do not render them.
  • Crating (construction lines) means blocking the object inside a light box first, so proportion and perspective are right before any detail is drawn. Leave the construction lines visible: they show the method.
  • Line weight carries meaning. Thick for the outline of the object, medium for the edges of surfaces, thin for internal detail and construction, and dashed for hidden detail behind a surface.
  • Exploded views pull the parts apart along their assembly axis to show how they fit and in what order.
  • Annotation is the difference between a drawing and a design. A useful annotation names the material, the function and the reason: "1.2 mm 304 stainless — chosen for the 400 N door-push criterion". "Looks cool" is not an annotation.

4.2Presentation drawing and technical drawing

 Presentation drawingTechnical drawing
AudienceThe client, the user, the publicThe maker, the engineer, the manufacturer
JobMake the design understood and wanted — context, materials, mood, scale relative to a personLet someone build it exactly, without asking you a single question
Typical formRendered pictorial or perspective view, in context, often with people for scaleDimensioned orthographic views to scale, in third-angle projection, drawn to AS 1100
Test of successThe client can picture owning itTwo different workshops build the same object from it
TOP VIEW FRONT VIEW RIGHT SIDE VIEW 60 30 40 30 All dimensions in millimetres. THIRD-ANGLE PROJECTION the standard used in Australia (AS 1100) the top view sits ABOVE the front view the right side view sits to the RIGHT each view shares a dimension with its neighbour, so the three lock together the object drawn here: a rectangular block, 60 wide × 30 deep × 40 high
Figure 4.1 — one block, three views, third angleThe 60 mm width appears in both the top and front views; the 30 mm depth appears in both the top and right side views; the 40 mm height appears in both the front and right side views. That shared-dimension rule is how a reader checks a drawing is consistent — and it is why the views must be arranged in the correct positions rather than scattered on the page.

4.3Storyboards and user journeys

  • A storyboard is a short sequence of frames showing a person using the design over time: the situation, the action, the outcome. It tests whether the design makes sense as a sequence, which a single beautiful render cannot.
  • A user journey maps the whole experience — before, during and after — and marks the pain points: hearing about it, choosing it, unpacking it, first use, everyday use, cleaning, repair, disposal.
  • Both are cheap ways to discover that the design solves the moment of use and fails everything around it. Most product complaints live in the "after" section of the journey.

4.4Pitching to a client

A pitch is an argument, and it has three ingredients: the audience, the message and the evidence.

  1. Audience. A business manager wants cost, lifespan and maintenance. A student user wants weight and whether it looks acceptable. Same design, two different pitches — lead with what that audience actually decides on.
  2. The problem, in their words and with a number. "About 40 items of litter per lunch break in the courtyard."
  3. The message — one sentence. If you cannot say what the design is and why it wins in a single sentence, you do not yet know.
  4. The evidence. Test results, the weighted matrix, user quotes, the prototype in their hands. Evidence is what separates a pitch from a preference.
  5. The ask. Say exactly what you want the client to decide, and what happens next.

4.5Evaluating against the original criteria

Evaluation is not a paragraph saying you enjoyed the project. It is a return to the criteria written in the explore phase, one at a time, with the test result and a verdict.

Criterion (from the brief)How it was testedResultVerdict
Survives 200 drops from 1 m onto concrete without leakingDrop rig, 1.0 m, concrete slab, lid fittedPassed 200; small dent at 140Met — cosmetic damage only
Unit cost at 500 units is $15 or lessQuotation from two suppliers$16.40Not met — $1.40 over; a thinner wall would meet it but risks the drop criterion
Year 7 student opens it in under 10 seconds, untrained12 students, timed, first attemptMedian 6 s; 2 of 12 took over 10 sPartly met — both failures gripped the sleeve, not the lid

Saying a criterion was not met costs no marks. Hiding it does. Finish with the specific change you would make next and the evidence that prompted it — that is the iteration loop closing.

4.6Ethics, sustainability and intellectual property

Design ethics

  • Inclusion. Who does this design exclude — by grip strength, height, language, colour vision, cost or connectivity? Exclusion is usually an accident of designing for yourself.
  • Honesty. No claim in the marketing the evidence does not support, and no dark patterns: interfaces designed so the user does something they did not intend, such as a subscription that is one click to start and six to cancel.
  • Safety and consequence. Ask what happens when the design fails, is misused, or is used by someone it was not designed for.
  • Cultural respect. Aboriginal and Torres Strait Islander designs, symbols and stories are held under Indigenous Cultural and Intellectual Property. Using them requires permission and proper attribution — not admiration.

Sustainability across the life cycle

  1. Materials. What was extracted, and at what energy cost? Recycled aluminium takes roughly a twentieth of the energy of new aluminium.
  2. Manufacture. Energy, water, waste and offcuts. Can the part be nested to cut less scrap?
  3. Distribution. Mass, volume and packaging. A shape that stacks halves the trucks.
  4. Use. Energy or consumables while in service — usually the largest share for anything powered.
  5. End of life. Design for disassembly: screws rather than glue, one material rather than three bonded together, and no unnecessary composites. Ask whether it can be repaired, reused, then recycled.

Intellectual property in Australia

RightProtectsHow you get itHow long
CopyrightThe expression — your drawings, photographs, text and codeAutomatically, on creation. No registration in AustraliaGenerally the creator's life plus 70 years
Registered designThe visual appearance of a product: shape, configuration, pattern, ornamentationRegistration under the Designs Act 2003, before you publish it5 years, renewable once to a maximum of 10
Standard patentA new and inventive way something worksApplication and examinationUp to 20 years
Trade markA sign that distinguishes your goods or services — name, logo, shapeRegistration10 years, renewable indefinitely

Two practical rules for a folio: copyright protects how you expressed an idea, never the idea itself; and publishing your design before registering it can destroy the novelty a registered design needs. Credit every image, dataset and standard you used.

Start hereYear 11 · General (ATAR)Digital Solutions

Senior starts here.

Four units covering QCAA Digital Solutions Units 1 and 2. Year 10 taught you the tools; Year 11 makes you accountable for them — a specification you can defend, code you can prove correct on paper, a database that cannot contradict itself, and an evaluation backed by recorded test evidence.

The mapFour units, two QCAA units

  1. Understanding digital problemsUnit 1, Topic 1. Decomposition and abstraction on a real brief, requirements elicitation, functional vs non-functional requirements, user experience principles, prototyping an interface.
  2. Data and programming fundamentalsUnit 1, Topic 2. Data types, variables, arrays and records, compound conditions, functions with parameters and return values, pseudocode, and desk-checking with trace tables.
  3. Data-driven solutionsUnit 2, Topic 1. Entities, keys, one-to-many relationships, normalisation to 1NF and 2NF, and SQL including JOIN.
  4. Building and evaluatingUnit 2, Topic 2. Algorithm efficiency, linear vs binary search, unit / boundary / user testing, security and privacy, and evaluating against the requirements you agreed.
How this differs from Year 10

Year 10 asked "what does this code do?". Year 11 asks "prove it, and justify why you built it this way rather than another". Every answer now needs three parts: the claim, the evidence, and the reason. A trace table is evidence. A recorded test result is evidence. "It worked when I tried it" is not.

What carries over from Year 10

Pseudocode conventions (← stores, = compares, keywords in capitals, close every block), AND/OR/NOT, nested loops, strings indexed from 0, entities and keys, and the four SQL clauses. Those are assumed here, not re-taught — go back to the Year 10 course if any of them feel shaky.

Unit 1QCAA Unit 1 · Topic 1Understanding digital problems

Understanding digital problems

A client describes a mess in three sentences. Your job is to turn that into a specification precise enough that two different programmers would build the same thing — and precise enough that, at the end, anyone can check whether you succeeded.

1.1Decomposition and abstraction, at senior level

You met both last year. What changes now is that you must justify each split and each omission, because a marker will ask why.

  • Decomposition stops when every leaf is one job you could write as a single function — not when the diagram looks tidy. "Take an order" is still too big; "add one item to the cart", "recalculate the cart total", "apply the student discount" are each one function.
  • Abstraction is a decision with a reason attached. Modelling a Lesson as subject, teacher, room and period — and ignoring the room's paint colour — is defensible because no rule of the timetable depends on paint. If the school ever timetabled by "rooms with natural light", that abstraction would become wrong.
  • Test every abstraction with one question: could this detail ever change the output? If yes, keep it. If no, drop it and say so.
  • Decomposition and abstraction produce different artefacts: decomposition gives you the module list; abstraction gives you the data model — the fields each record will hold.

1.2Requirements elicitation

Elicitation is the work of finding out what people actually need, as opposed to what they first say or what you assume. Clients describe solutions ("we need an app with a big green button"); your job is to dig out the underlying problem ("orders get lost at the busiest ten minutes of lunch").

TechniqueWhat it is good atWhat it misses
InterviewDepth, reasons, exceptions, the "yes, but on Fridays…" casesPeople describe what they think they do, not what they do
ObservationWhat really happens, including the workarounds nobody mentionsSlow; people behave differently while watched
SurveyMany users cheaply; numbers you can quote as evidenceOnly answers the questions you already thought to ask
Studying existing systemsThe real data, the real volumes, the real forms in useCopies the old system's faults into the new one if you are not careful
The step people forget

After eliciting, write the requirements back to the client and get them confirmed. An unconfirmed requirement is a guess wearing a suit. In an exam answer, saying "I would confirm the list with the client in writing before designing" is worth a mark on its own.

1.3Functional and non-functional requirements

A functional requirement says what the solution must do. A non-functional requirement says how well it must do it — a quality it must have. Both are testable; neither is an opinion.

Functional — what it DOESNon-functional — how WELLQuality being specified
A student can add an item to their orderAny screen loads in under 2 seconds on the school Wi-FiPerformance
The app calculates the order total, including GSTThirty students can order at once without slowdownCapacity
The app emails a receipt when an order is placedIt runs on Android 10 or later and iOS 15 or laterCompatibility
A staff member can mark an order as collectedNo password is ever stored or sent as plain textSecurity
The rewrite drill

"The app should be fast" is not a requirement — nothing can settle it. "Any screen loads in under 2 seconds on the school Wi-Fi" is, because you can hold a stopwatch. Any requirement you cannot imagine testing is still a wish, and must be rewritten before you design anything.

1.4User experience principles

These are general design principles — they apply to every interface, not just yours. They are not requirements; they are what you appeal to when justifying an interface decision.

PrincipleWhat it demandsBroken when…
Visibility of system statusEvery action produces visible feedback, immediatelySubmit is pressed and nothing at all happens for three seconds
ConsistencyThe same control looks and behaves the same everywhere"Back" is top-left on one screen and bottom-right on the next
Error preventionMake the wrong action hard to take in the first placeA free-text date field, when a date picker would refuse 31 February
Error recoveryLet people undo a mistake, not merely read about itDeleting an order is instant and permanent
Recognition over recallShow the options; do not make people remember codesThe user must type an item code they saw two screens ago
AccessibilitySufficient contrast, alt text, keyboard access, large enough targetsPale grey 10 px text on white, reachable only by mouse

1.5Prototyping the interface

  1. Wireframe first. Boxes and labels only — no colour, no font choices, no logo. The question a wireframe answers is "is the right thing in the right place, and is the main task obvious?"
  2. One screen per task from the decomposition. If a screen serves two unrelated jobs, that is usually a sign the decomposition was not finished.
  3. Map the flow. Draw the arrows between screens and count the taps for the most common task. The count is evidence you can quote in the evaluation.
  4. Test it with a real user, cheaply. Hand them the sketch and a task, say nothing, and write down where they hesitate. Hesitation is the data.
  5. Iterate before writing code. Redrawing a sketch costs minutes; rebuilding a screen costs days. Two rounds of sketching routinely saves a week.
Unit 2QCAA Unit 1 · Topic 2Data and programming fundamentals

Data and programming fundamentals

Types, structures, functions and proof. The new skills this year are parameters and return values — splitting an algorithm into pieces small enough to test on their own — and desk-checking, which is how you show an algorithm is correct without running it.

2.1Data types

Choosing the type is a design decision, and the wrong one causes faults that are hard to find later.

TypeHoldsUse it forTrap
IntegerWhole numbers, no decimal partA mark out of 100, a quantity, a year levelInteger division may discard the remainder — use MOD to see it
Real (float)Numbers with a decimal partA price, an average, a measurementTiny rounding errors mean you rarely test two reals for exact equality
BooleanExactly true or falseisPaid, hasConsent, a tick boxStoring "yes"/"no" as text instead — then every comparison is a string comparison
StringA sequence of characters, indexed from 0Names, addresses, item codes, phone numbersPhone numbers are strings: leading zeros survive, and you never do arithmetic on them
DateA calendar date, stored as a dateOrder date, due date, date of birthStored as text, sorting gives 01/12 before 02/01 of the next year

2.2Arrays and records

An array is a numbered list of values of the same type, indexed from 0. A record is one thing with several named fields of possibly different types. Real data is nearly always an array of records.

IdeaWritten asMeaning
Array literalscores ← [12, 7, 30, 5]Four integers in a fixed order
First elementscores[0]12 — counting starts at 0
Third elementscores[2]30
Last indexLENGTH(scores) − 1 → 34 elements, so the highest valid index is 3
Walk it safelyFOR i FROM 0 TO LENGTH(scores) − 1Ending at LENGTH would read index 4, which does not exist
Record fieldorder.item  ·  order.qtyNamed fields of one record, reached with a dot
Array of recordsFOR EACH o IN orderso is one whole record on each pass

2.3Control structures with compound conditions

  • Every part of an AND/OR must be a complete condition. IF o.qty >= 2 AND o.price < 8 THEN is right; IF o.qty >= 2 AND < 8 is not a condition at all.
  • An OR that is always true filters nothing. mark >= 50 OR mark <= 100 is true for every possible mark, because any number below 50 is still at most 100. A range test always needs AND.
  • Order the branches so the narrowest case comes first. In IF…ELSE IF…, once a branch matches, the rest are skipped — so testing mark >= 50 before mark >= 80 means no one ever reaches the 80 branch.
  • WHILE when you do not know how many passes; FOR when you do. Every WHILE must contain something that can eventually make its condition false, or it never ends.
  • Bracket anything mixed: (a AND b) OR c is not a AND (b OR c).

2.4Functions and procedures

FUNCTIONPROCEDURE
Gives backA value, via RETURNNothing — it just performs an action
Called asnet ← applyDiscount(20, 10)printReceipt(order)
Typical jobCalculate and hand back an answerDisplay, save, send
  • Parameters are the named inputs in the definition; arguments are the actual values passed in at the call. They are matched by position: the first argument fills the first parameter.
  • A parameter is a local copy. Changing it inside the function does not change the caller's variable — the only thing that travels back out is the RETURN value.
  • One job per function, and a name that says the job. applyDiscount tells you what it returns; doStuff tells you nothing.
  • The real payoff: a function can be tested on its own. You cannot unit-test a 90-line block, but you can call applyDiscount(100, 10) and check it returns 90.

2.5Algorithm design in pseudocode — and a flowchart

Pseudocode and flowcharts say the same thing in two notations. Flowcharts are marked on their shapes, so use the right one every time.

SHAPE KEY Terminator — START or END Parallelogram — input or output Rectangle — a process step Diamond — a decision, two ways out START INPUT total, balance balance >= total? Yes balance ← balance − total PRINT receipt END No Show “Not enough credit” Every plain arrow means “then do this next”. Only the two arrows leaving the diamond need labels, and they are Yes and No.
Figure 2.1 — the four flowchart shapes, used correctlyOval terminators start and end the algorithm; the parallelogram is input or output; the rectangle is a process step that changes something; the diamond asks one question and has exactly two labelled exits. Both branches rejoin at a single END — a flowchart with a branch that just stops is incomplete.

2.6Desk-checking with trace tables

Desk-checking means running the algorithm by hand, on paper, before any computer is involved. It is how you find a fault in five minutes instead of an hour, and it is examined directly.

Worked example one — a function with parameters and a return value:

FUNCTION applyDiscount(price, pct)  RETURN price − (price × pct ÷ 100)  END FUNCTION
total ← 0  ·  FOR EACH p IN [20, 50, 30]  total ← total + applyDiscount(p, 10)  END FOR  ·  PRINT total
Passpprice × pct ÷ 100RETURN valuetotal after
start0
12020 × 10 ÷ 100 = 220 − 2 = 1818
25050 × 10 ÷ 100 = 550 − 5 = 4563
33030 × 10 ÷ 100 = 330 − 3 = 2790
endlist exhaustedPRINT 90

Worked example two — walking an array to find the largest value:

temps ← [18, 24, 21, 27, 19]  ·  best ← temps[0]  ·  FOR i FROM 1 TO 4  IF temps[i] > best THEN best ← temps[i]  END FOR  ·  PRINT best
Passitemps[i]temps[i] > best?best after
starttemps[0] = 1818
112424 > 18 true24
222121 > 24 false24
332727 > 24 true27
441919 > 27 false27
endloop finishedPRINT 27
Trace table rules that earn marks

One column per variable plus one for the condition and one for output. Never erase — add a row, so the history stays visible. Update in the exact order the lines run. Seeding best from temps[0] and then starting the loop at i = 1 is deliberate: seeding it from 0 instead would break for a list of negative numbers, and markers look for exactly that reasoning.

Unit 3QCAA Unit 2 · Topic 1Data-driven solutions

Data-driven solutions

A relational database earns its keep by making certain kinds of mistake impossible. Normalisation is the technique; keys are the mechanism; SQL is how you get the answers back out — including from two tables at once.

3.1The worked schema for this unit

Every example and every drill below uses these two tables. Learn the rows — the questions depend on them.

MEMBER
MemberID PKFirstNameLastNameJoinYear
1AvaNguyen2024
2BenOkafor2023
3ChloeTran2025
4DevPatel2023
LOAN
LoanID PKMemberID FKBookTitleDaysOut
1011Dune5
1022Frankenstein21
1031Persuasion14
1043Dracula3

Note what the data already tells you: member 1 has two loans, member 4 has none. One member, many loans — and "many" is allowed to mean zero.

3.2The relationship, drawn properly

MEMBER MemberID ← PRIMARY KEY FirstName LastName JoinYear LOAN LoanID ← PRIMARY KEY MemberID ← FOREIGN KEY BookTitle DaysOut ONE MANY ONE–TO–MANY The single bar on the left of the line is the ONE end — exactly one member. The three-pronged crow’s foot on the right is the MANY end — any number of loans. Read it: one MEMBER may have many LOANs; each LOAN belongs to exactly one MEMBER. MemberID in LOAN stores the MEMBER’s primary key — that column is the entire link.
Figure 3.1 — MEMBER and LOAN, one-to-manyThe foreign key always lives on the many side, because one field can hold one value: a loan can name its one member, but a member could never name their loans in a single field. Underlining marks a primary key; the crow's foot marks the many end.

3.3Normalisation to 1NF and 2NF

Normalisation is reorganising tables so that each fact is stored exactly once. The payoff is that the data cannot contradict itself — not neatness.

FormThe ruleBroken byThe fix
1NFEvery field holds one single value, and there are no repeating groups of columnsA Books column holding "Dune, Persuasion"; or columns Book1, Book2, Book3Move the repeating thing into its own table, one row per value
2NFIt is in 1NF, and every non-key attribute depends on the whole primary keyA composite key (MemberID, BookTitle) in a table that also stores LastName — LastName depends on MemberID aloneMove the partly-dependent attributes into a table keyed by the part they depend on

2NF only ever bites when the primary key is a composite key — two or more attributes that identify a row only together. With a single-attribute key there is no "part of the key" to depend on, so a 1NF table with a single-attribute key is automatically in 2NF.

Why this matters, in one sentence

If a member's surname is stored on every one of their loan rows, then correcting a misspelling means finding and changing every row — and the day you miss one, the database says two different things at once. Stored once in MEMBER and referenced by MemberID, that is not possible.

3.4SQL, including JOIN

Query against the tables aboveWhat it returns, exactly
SELECT LastName FROM Member WHERE JoinYear = 2023 ORDER BY LastName ASC;2 rows: Okafor, then Patel — in that order, because O comes before P.
SELECT * FROM Loan WHERE DaysOut > 7;2 rows: loan 102 (21 days) and loan 103 (14 days).
SELECT BookTitle FROM Loan WHERE DaysOut > 7 ORDER BY DaysOut DESC;Frankenstein, then Persuasion — DESC puts the longest first.
SELECT FirstName, LastName FROM Member WHERE LastName = 'Tran';1 row: Chloe Tran. Text goes in single quotes; numbers do not.
SELECT M.FirstName, L.BookTitle
FROM Member M JOIN Loan L ON M.MemberID = L.MemberID;
4 rows, one per loan: Ava–Dune, Ben–Frankenstein, Ava–Persuasion, Chloe–Dracula. Dev has no loan, so he does not appear.
SELECT M.LastName, L.BookTitle
FROM Member M JOIN Loan L ON M.MemberID = L.MemberID
WHERE L.DaysOut > 7;
2 rows: Okafor–Frankenstein (21 days) and Nguyen–Persuasion (14 days). The JOIN happens first, then WHERE filters the joined rows.
  • JOIN combines two tables; ON states the matching condition, which is almost always foreign key = primary key.
  • A plain JOIN keeps only rows that match on both sides. Member 4 has no loan, so a joined query never mentions him — a fact worth stating explicitly in an exam answer.
  • An alias (Member M) shortens the table name; M.FirstName then says unambiguously which table a column came from. With two columns both called MemberID, that is not optional.
  • Clause order is still fixed: SELECT → FROM → JOIN…ON → WHERE → ORDER BY.
  • A query only reads. Nothing in this unit can alter or lose the stored data.
Unit 4QCAA Unit 2 · Topic 2Building and evaluating

Building and evaluating

Working is the minimum. This unit is about the three things that separate a pass from a high mark: knowing why one algorithm costs more than another, testing in a way that produces evidence, and protecting the data you have just made yourself responsible for.

4.1Algorithm efficiency, at concept level

You are not asked for formal big-O notation. You are asked to say how the work grows as the data grows, and why.

  • A single loop over n items does about n steps. Double the data, double the work.
  • A nested loop over the same n items does about n × n steps. Double the data and the work goes up four times, because (2n) × (2n) = 4 × n × n. Ten times the data is a hundred times the work.
  • That is why a nested loop that compares every item with every other item is the first thing to look at when a program is slow.
  • Efficiency is not only speed: memory matters too. Copying a whole array inside a loop is cheap for 10 items and ruinous for 10 million.

4.2Linear search versus binary search

Linear search checks item 1, then item 2, then item 3… In the worst case it checks all n. Binary search checks the middle item, throws away the half that cannot contain the target, and repeats — so each comparison halves what is left.

Items in the listLinear search, worst caseTimes you can halve it down to oneBinary search, worst case
88 comparisons8 → 4 → 2 → 1 = 3 halvingsabout 4 comparisons
1616 comparisons16 → 8 → 4 → 2 → 1 = 4 halvingsabout 5 comparisons
1,0001,000 comparisons9 halvingsabout 10 comparisons
1,000,0001,000,000 comparisons19 halvingsabout 20 comparisons
The condition everyone forgets

Binary search only works on a sorted list — discarding half depends entirely on knowing which half the target must be in. On an unsorted list it is simply wrong, and sorting first costs time of its own. The full answer is therefore: binary search wins on a list that is already sorted, or one you will search many times.

4.3Testing that produces evidence

Kind of testWhat it checksExample
Unit testOne function, in isolation, against a hand-calculated answerapplyDiscount(100, 10) must return 90
Boundary testThe edges, where off-by-one faults live: lowest valid, highest valid, one outside each, and emptyA field accepting 0–100: try 0, 100, −1, 101, and blank
User (acceptance) testWhether a real user can complete the real task, unaidedThree students who have never seen the app each place an order while you time and watch them

A test case is only evidence if it is written down before you run it. The exam-standard table has five columns:

IDWhat is testedInputExpected outputActual output
T1Discount calculationprice 100, pct 109090 — pass
T2Lower boundary of the mark field0AcceptedAccepted — pass
T3Just outside the upper boundary101Rejected, with a message naming the fieldRejected, message says only "invalid" — fail
T4Empty order submittedno itemsRejected, nothing sent to the kitchenRejected — pass

Notice T3: a recorded failure is worth more marks than a table of four passes, because it gives you something specific to justify improving.

4.4Security and privacy

  • Authentication answers "are you who you say you are?" — a password is something you know. Two-factor authentication adds something you have (a code on your phone) or something you are (a fingerprint), so a stolen password alone is not enough to get in.
  • Authorisation is the separate question "what are you allowed to do?" A student and a canteen manager may both be authenticated, and still see different screens.
  • Encryption scrambles data with a key so that intercepting it yields nothing readable. Encrypt in transit (HTTPS, so Wi-Fi traffic cannot be read) and at rest (so a stolen drive is useless). Encryption does not stop interception; it makes interception pointless.
  • Passwords should be stored hashed, never encrypted and never plain: the system needs to check a password, not to read it back.
  • The Australian Privacy Principles under the Privacy Act 1988 still apply: collect only what you need for a stated purpose, be open about it, keep it secure, and let people see and correct their own information. At senior level the design consequence is the point — a field you never collected is a field that can never leak.

4.5Evaluating against the requirements

The evaluation is judged against the requirements you agreed in Unit 1 — not against how you feel about the finished thing. Take them one at a time:

  1. State the requirement, in the words it was agreed in.
  2. Give the evidence: the test ID, the input, and what actually happened.
  3. Judge it: met, or not met. No third option, and no hedging.
  4. Say what you would change and why, tied to the evidence you just gave.
A full-mark evaluation paragraph

"Requirement 3 — an invalid mark is rejected with a message naming the field — was not met. Test T3 entered 101 and the system rejected it, but the message read only 'invalid', so the user is not told which field is wrong. Naming the field in the message would meet the requirement, and costs one line; I would also add the valid range to the message so the user does not have to guess it."

Start hereYear 11 · GeneralEngineering

Engineering is arithmetic with consequences.

Four topics: what materials do under load, how forces balance, how machines trade force for distance, and the professional method that turns all of it into a decision somebody's life may depend on. Every number on this page has been worked, not asserted.

The mapUnits 1 and 2, four topics

  1. Unit 1, Topic 1 — Engineering materials. The four families, the mechanical properties defined precisely, stress, strain and the stress–strain curve.
  2. Unit 1, Topic 2 — Statics and forces. Vectors, components, W = mg, moments, equilibrium, free-body diagrams and beam reactions.
  3. Unit 2, Topic 1 — Machines and mechanisms. Levers, mechanical advantage, gear trains, pulleys, torque, power and efficiency.
  4. Unit 2, Topic 2 — Engineering practice. The design process, factor of safety, failure modes, standards and testing, and life-cycle thinking.
Three habits that are marked in every calculation

Draw the free-body diagram first. Most statics problems solve themselves once every force on the object is drawn and labelled.

Carry the units through every line. Newtons and square millimetres give megapascals directly, because 1 MPa = 1 N/mm². A stress answer without a unit is worth nothing.

State the assumption. "Beam weight ignored", "friction neglected", "g = 9.8 m s⁻²". An assumption stated is engineering; an assumption hidden is a defect.

Unit 1 · Topic 1EngineeringEngineering materials

Engineering materials: what happens under load

Choosing a material is a numerical argument, not a preference. To make it you need four families, six properties defined precisely enough to be measured, and one curve that contains most of the answers.

1.1The four families

FamilyWhat holds it togetherTypical behaviourExamples
MetalsMetallic bonding — a lattice of ions in a sea of free electronsStiff, strong, generally ductile, tough, conduct heat and electricity, can be alloyed and heat-treatedMild steel, stainless steel, aluminium alloy 6061, copper, titanium
PolymersLong covalently bonded chains, held to each other weaklyLow stiffness and low density, mouldable, corrosion-resistant, soften with heat, creep under sustained loadPolypropylene, nylon, ABS, polycarbonate, epoxy
CeramicsStrong ionic and covalent bonds in a rigid networkVery hard, very stiff, strong in compression, weak in tension, brittle, heat- and wear-resistantAlumina, fired clay brick, glass, concrete, tungsten carbide tooling
CompositesA stiff, strong reinforcement held in a matrix that transfers load between the fibresProperties are designed, not inherited: excellent strength-to-weight, but anisotropic and hard to recycleCarbon-fibre reinforced polymer, glass-fibre, reinforced concrete, plywood

Reinforced concrete is the clearest illustration of the composite idea: concrete is strong in compression and weak in tension, steel is strong in tension, so steel bars are placed exactly where the tension will be. Neither material could do the job alone.

1.2Mechanical properties, defined precisely

PropertyPrecise definitionHow it is measuredWatch out
StrengthThe stress a material can carry before it yields or fracturesTensile test; quoted as yield strength or ultimate tensile strength, in MPaSay which strength: yield or ultimate
StiffnessResistance to elastic deformation — how much stress is needed per unit of strainYoung's modulus E, the gradient of the elastic part of the curve, in GPaNot the same as strength. Every steel has E ≈ 200 GPa, whatever its strength
HardnessResistance to localised surface indentation or scratchingBrinell, Rockwell or Vickers test — press an indenter and measure the markHardness is not toughness. Hardening steel usually makes it less tough
ToughnessThe energy absorbed before fracture — the area under the stress–strain curveCharpy impact test, in joulesA tough material can be soft; a hard material is often brittle
DuctilityThe ability to deform plastically a long way before fracturePercentage elongation at fracture in a tensile testDuctility gives warning before failure — a safety property
BrittlenessFracturing with almost no plastic deformation firstObserved as a low elongation and a flat, sudden breakBrittle failure gives no warning at all
Hardness is not toughness — the exam's favourite trap

A glass sheet is hard (you cannot scratch it with steel) and utterly not tough (it shatters, absorbing almost no energy). A car body panel in mild steel is comparatively soft and very tough — it crumples and absorbs energy, which is exactly what you want in a crash. Hardness is about the surface; toughness is about energy absorbed to fracture.

1.3Stress: σ = F ÷ A

Stress is the force carried per unit of cross-sectional area: σ = F ÷ A. Work in newtons and square millimetres and the answer comes out directly in megapascals, because 1 MPa = 1 N/mm².

ProblemArea AForce Fσ = F ÷ A
Steel rod, area 200 mm², carrying 50 kN200 mm²50 000 N50 000 ÷ 200 = 250 MPa
Rectangular bar 20 mm × 10 mm, carrying 12 kN20 × 10 = 200 mm²12 000 N12 000 ÷ 200 = 60 MPa
Round bar, diameter 20 mm, carrying 25 kNπd²/4 = π × 400 ÷ 4 = 314 mm²25 000 N25 000 ÷ 314 = 79.6 MPa
Tie of area 150 mm², carrying 45 kN150 mm²45 000 N45 000 ÷ 150 = 300 MPa

Strain is the deformation per unit of original length: ε = ΔL ÷ L₀. It has no units, because it is a length divided by a length. A tie 2000 mm long that stretches 1.6 mm has a strain of 1.6 ÷ 2000 = 0.0008, which is 0.08 per cent.

Young's modulus is stress divided by strain in the elastic region: E = σ ÷ ε. If that same steel tie reached 160 MPa at a strain of 0.0008, then E = 160 ÷ 0.0008 = 200 000 MPa = 200 GPa — the standard figure for steel.

MaterialYoung's modulus E (approx.)Meaning
Steel (any grade)200 GPaVery stiff; grade changes the strength, not E
Titanium alloy110 GPaAbout half as stiff as steel, at about 57% of the density
Aluminium alloy70 GPaAbout a third of steel's stiffness, about a third of its density
Concrete30 GPaStiff, but weak in tension — hence reinforcement
Engineering polymers1–3 GPaRoughly a hundredth of steel: they flex noticeably under load

1.4The stress–strain curve

Stress σ = F ÷ A (MPa) Strain ε = extension ÷ original length (no units) Yield point permanent deformation begins Ultimate tensile strength (UTS) the highest stress the sample carries Fracture the sample breaks gradient of this straight line = Young's modulus E (stiffness) ELASTIC REGION unload here and it springs back PLASTIC REGION the change is permanent Typical shape for a ductile metal such as mild steel.
Figure 1.1 — the stress–strain curveFour things are read straight off it. The gradient of the straight portion is Young's modulus E — stiffness. The yield point is where permanent deformation begins, and it is the value structural design normally works from. The UTS is the highest stress the sample carries. The area under the whole curve is the energy absorbed to fracture — toughness. A brittle material's curve is a steep straight line that simply stops: no plastic region, no warning.
  • Below the yield point the deformation is elastic: remove the load and the sample returns to its original length. Above it the deformation is plastic and permanent.
  • Mild steel yields at roughly 250 MPa and reaches an ultimate tensile strength of roughly 400–550 MPa, depending on grade.
  • After the UTS the sample necks — it thins locally, so the true stress there keeps rising even though the plotted engineering stress, which uses the original area, falls.
  • Heat treatment and alloying move the curve up and usually shorten it: harder and stronger, but less ductile and less tough. That trade-off is the whole of materials selection in one sentence.
Unit 1 · Topic 2EngineeringStatics and forces

Statics and forces: everything adds to zero

Statics is the study of things that are not accelerating — a bridge, a bracket, a beam. Two equations cover almost all of it: the forces sum to zero, and the moments sum to zero.

2.1Force as a vector, and mass against weight

  • A force is measured in newtons (N) and is a vector: it has a magnitude and a direction. "300 N" without a direction is an incomplete answer.
  • Mass is the quantity of matter, in kilograms, and does not change with location. Weight is the force gravity exerts on that mass, in newtons, and does.
  • W = mg, with g = 9.8 m s⁻² on Earth. A 12 kg toolbox: W = 12 × 9.8 = 117.6 N. A 65 kg person: 65 × 9.8 = 637 N. A 250 kg machine: 250 × 9.8 = 2450 N.
  • Putting a mass in kilograms into a force equation is the single most common error in senior statics. Convert first, every time.

2.2Resolving a force into components

An angled force can be replaced by two perpendicular forces that together do exactly the same job. With the angle θ measured from the horizontal: the horizontal component is F cos θ and the vertical component is F sin θ.

θ = 30° 90° F = 500 N the resultant force Fx = F cos 30° = 500 × 0.866 = 433 N the horizontal component Fy = F sin 30° = 500 × 0.500 = 250 N the vertical component Check: √(433² + 250²) ≈ 500 N — the two components really do replace F.
Figure 2.1 — resolving 500 N at 30°The triangle is drawn to scale: the base is 433 units long and the upright 250, in the same ratio as the components they represent. Because θ is measured from the horizontal, cosine gives the horizontal component and sine the vertical one. Measure the angle from the vertical instead and those two swap over — which is why the first line of your working should always say where the angle is measured from.

2.3Moments

A moment is the turning effect of a force about a point: M = F × d, where d is the perpendicular distance from the pivot to the line of action of the force. The unit is the newton metre (N·m).

SituationForce FPerpendicular distance dMoment M = F × d
Pushing on a lever250 N0.4 m250 × 0.4 = 100 N·m
Pulling on a spanner150 N0.30 m150 × 0.30 = 45 N·m
A door handle40 N0.25 m40 × 0.25 = 10 N·m

Double the distance and you double the moment for the same force — which is why a longer spanner loosens a tighter nut. A force whose line of action passes through the pivot has zero perpendicular distance and therefore no moment at all.

2.4Equilibrium and free-body diagrams

A body is in equilibrium when it is at rest or moving at constant velocity. Two conditions must both hold:

  • ΣF = 0 — the forces balance. Vertically, up equals down; horizontally, left equals right.
  • ΣM = 0 — the moments balance about any point. Clockwise equals anticlockwise.
  • A free-body diagram is the object drawn alone, with every support deleted and replaced by the force it applies — each force drawn as an arrow labelled with its size, direction and cause.

2.5Reactions on a simply supported beam

Point load = 1200 N acting 2 m from A the beam — its own weight is ignored Support A Support B Reaction at A = 800 N Reaction at B = 400 N 2 m 6 m — the span Moments about A: R(B) × 6 = 1200 × 2, so R(B) = 400 N. Then ΣF = 0 gives R(A) = 1200 − 400 = 800 N.
Figure 2.2 — a simply supported beamTake moments about A, because the reaction at A has no moment about itself and drops out of the equation: R(B) × 6 = 1200 × 2 = 2400, so R(B) = 400 N. Then ΣF = 0 gives R(A) = 800 N. Check by taking moments about B: R(A) × 6 = 1200 × 4 = 4800, so R(A) = 800 N — it agrees. The load sits closer to A, so A carries more of it, exactly as intuition says.
A second worked beam, to practise the method on

An 8 m beam on supports A and B at its ends carries 600 N at 2 m from A and 400 N at 6 m from A.

Moments about A: R(B) × 8 = (600 × 2) + (400 × 6) = 1200 + 2400 = 3600, so R(B) = 450 N.
ΣF = 0: R(A) = (600 + 400) − 450 = 550 N.
Check about B: R(A) × 8 = (600 × 6) + (400 × 2) = 3600 + 800 = 4400, so R(A) = 550 N. It agrees.

And the symmetrical special case worth memorising: a single load at mid-span splits exactly in half, so a 2 kN central load gives 1 kN at each support.

Unit 2 · Topic 1EngineeringMachines and mechanisms

Machines and mechanisms: trading force for distance

No machine creates energy. Every one of them takes the energy you put in and hands it back in a more convenient shape — usually more force over a shorter distance, or less force over a longer one. Levers, gears and pulleys are three versions of the same bargain.

3.1Levers and the three classes

CLASS 1 — fulcrum in the middle LOAD EFFORT FULCRUM seesaw · crowbar · scissors MA can be above or below 1 CLASS 2 — load in the middle LOAD EFFORT FULCRUM wheelbarrow · nutcracker · bottle opener MA is always greater than 1 CLASS 3 — effort in the middle EFFORT LOAD FULCRUM tweezers · tongs · your forearm MA is always less than 1 — gains speed In each panel the grey bar is the lever and the triangle is the fulcrum. The class is named by whichever of the three sits in the middle. MA = load ÷ effort = effort arm ÷ load arm.
Figure 3.1 — the three lever classesRead the order along the bar, and the class names itself: fulcrum in the middle is class 1, load in the middle is class 2, effort in the middle is class 3. Class 2 always multiplies force, because the effort arm is necessarily longer than the load arm. Class 3 always reduces it — your bicep pulls with far more force than the weight in your hand — and buys speed and range of movement in exchange.

Mechanical advantage is MA = load ÷ effort. For an ideal lever it also equals effort arm ÷ load arm, because the moments about the fulcrum must balance.

  • Crowbar. Effort arm 1.2 m, load arm 0.15 m. MA = 1.2 ÷ 0.15 = 8. So 200 N of effort lifts 200 × 8 = 1600 N.
  • Wheelbarrow. An 800 N load sits 0.4 m from the wheel (the fulcrum); the handles are 1.2 m from it. Effort = (800 × 0.4) ÷ 1.2 = 266.7 N, and MA = 1.2 ÷ 0.4 = 3.
  • The bargain is never free. Multiplying the force by 8 means the effort end must move 8 times further than the load end.

3.2Gears and gear trains

Gear ratio = driven teeth ÷ driver teeth. The driver is the gear on the input shaft; the driven is the one on the output shaft. Because gears in mesh must have teeth of the same size, tooth count is proportional to pitch radius — so a 3 : 1 ratio by teeth is also 3 : 1 by radius.

radius r radius 3r — three times as big THE MESH POINT the pitch circles touch here DRIVER GEAR — 20 teeth input: 1500 rpm, clockwise DRIVEN GEAR — 60 teeth output: 500 rpm, anticlockwise Gear ratio = driven teeth ÷ driver teeth = 60 ÷ 20 = 3 : 1 Output speed = 1500 ÷ 3 = 500 rpm Output torque = input torque × 3 (ideal — friction always reduces it) External gears in mesh always turn in opposite directions. Teeth 20 : 60 = 1 : 3, so the pitch radii are drawn 1 : 3 as well. Gears are shown here as their pitch circles.
Figure 3.2 — a 3 : 1 gear pairThe radii on this drawing are in the same ratio as the tooth counts, because that is physically what a gear ratio is. A small driver turning a large driven gear gives speed down, torque up; swap them and you get speed up, torque down. What never changes is the power — minus whatever friction takes.
  • Speed. Output speed = input speed ÷ gear ratio. A 20-tooth driver at 1500 rpm driving 60 teeth gives 1500 ÷ 3 = 500 rpm.
  • Reversed. A 60-tooth driver turning at 800 rpm driving a 24-tooth gear: ratio = 24 ÷ 60 = 0.4, so output = 800 ÷ 0.4 = 2000 rpm. Speed up, torque down.
  • Compound trains multiply. A 15-tooth driver into 45 teeth is 3 : 1; a 20-tooth driver on that same shaft into 80 teeth is 4 : 1. Overall 3 × 4 = 12 : 1, so 1200 rpm in gives 1200 ÷ 12 = 100 rpm out.
  • An idler gear between driver and driven reverses the output's direction but leaves the overall ratio unchanged — its tooth count cancels out.
  • Belt and chain drives follow the same rule with diameters or sprocket teeth instead: ratio = driven diameter ÷ driver diameter.

3.3Pulleys

  • A single fixed pulley has MA = 1: it changes the direction of the effort, which is often worth having on its own.
  • A single movable pulley has MA = 2, because two rope sections share the load.
  • In a block and tackle, the ideal MA equals the number of rope sections supporting the load. With 4 supporting sections and a 1200 N load, the ideal effort is 1200 ÷ 4 = 300 N — but you must pull 4 m of rope for every 1 m the load rises.

3.4Torque, power and efficiency

  • Torque is a moment about a rotating shaft: T = F × r. A 200 N force on a 0.25 m radius pulley gives 200 × 0.25 = 50 N·m.
  • Rotational power is P = 2πNT ÷ 60, with N in rpm and T in N·m. That 50 N·m at 600 rpm gives (2π × 600 × 50) ÷ 60 = 3142 W, about 3.14 kW.
  • Efficiency = useful output ÷ total input × 100%. A gearbox taking in 4000 W and delivering 3600 W is (3600 ÷ 4000) × 100 = 90% efficient; the missing 400 W leaves as heat, sound and vibration.
  • Efficiency for a machine can also be found as actual MA ÷ ideal MA. That block and tackle with an ideal MA of 4 that actually needs 350 N to lift 1200 N has an actual MA of 1200 ÷ 350 = 3.43, so its efficiency is (3.43 ÷ 4) × 100 = 85.7%.
  • No machine reaches 100%. Anything that claims to has an unmeasured energy path.
Unit 2 · Topic 2EngineeringEngineering practice

Engineering practice: method, margin and consequence

The calculations are the easy part. Engineering practice is the method that decides which calculation to do, the margin you keep because reality is untidy, the failure modes you check for, and the standards that carry a century of other people's accidents.

4.1The engineering design process

  1. Define the problem. What must the thing do, for whom, under what conditions and loads?
  2. Research and specify. Gather data, standards and materials properties. Write the specification: measurable criteria and the constraints.
  3. Generate concepts. More than one, always. A single concept cannot be justified because nothing was rejected.
  4. Analyse and model. This is where the calculations live — free-body diagrams, stresses, deflections, ratios, factor of safety. Do them on paper before anything is built.
  5. Select. Compare concepts against the specification, using the numbers.
  6. Prototype and test. Test against the specification, not against your hopes for it. Record everything.
  7. Evaluate and iterate. Feed test results back into the design and go round again.
  8. Communicate and implement. Drawings to AS 1100, calculations, and the assumptions written down for whoever maintains it in twenty years.

The difference from the Design subject's process is emphasis, not shape: engineering puts an analysis step in the middle and requires the decision to be defended numerically.

4.2Factor of safety

Factor of safety = failure load ÷ working load. Equivalently, in stress terms, FoS = ultimate stress ÷ allowable working stress. It is the margin that covers everything the calculation could not know: material variation, manufacturing defects, corrosion, wear, overload, and simple error.

ProblemWorkingAnswer
A cable fails at 24 kN and is used at a working load of 6 kN. Find the FoS.24 ÷ 6FoS = 4
A lifting eye must carry 3.2 kN with a required FoS of 5. What failure load is needed?3.2 × 516 kN
Steel with an ultimate tensile strength of 400 MPa, with FoS 2.5. Find the allowable working stress.400 ÷ 2.5160 MPa
At 160 MPa allowable, what area is needed to carry 40 kN?40 000 ÷ 160250 mm²
A beam fails at 18 kN and works at 4 kN. Find the FoS.18 ÷ 4FoS = 4.5

The factor chosen is a judgement, not a constant. It rises when the loading is uncertain or shock-loaded, when failure would kill someone, when the material is brittle or its properties vary, and when inspection is difficult. It falls when loads are well known, the material is well characterised, and weight is critical — aircraft structures run low factors precisely because they are analysed, tested and inspected obsessively. An unnecessarily large factor is not "safer": it costs mass, material and money, and heavier parts impose larger loads on everything else.

4.3Failure modes

ModeWhat happensWhere you see itHow it is designed against
TensileThe member is pulled apart once the stress exceeds its tensile strengthTies, cables, bolts in tensionIncrease the cross-sectional area, or use a stronger material
Compressive / crushingThe material is squashed and fails locallyShort posts, bearing surfaces, packersSpread the load over a larger bearing area
ShearLayers slide across each other — the member is cutA bolt cut through by the plates it joins; a pin in a clevisLarger pin diameter, or two shear planes rather than one
BucklingA slender column bows sideways at a load far below the one that would crush itLong thin struts, scaffold tubes, thin websShorten it, brace it, fix the ends, or use a hollow tube or I-section with more material away from the centre
FatigueRepeated load cycles below the yield stress start a crack at a stress raiser, grow it, then it snaps suddenlyRotating shafts, aircraft skins, springs, weldsRemove stress raisers — generous radii instead of sharp corners — polish surfaces, and inspect at scheduled intervals
CreepSlow permanent stretching under a steady load, mainly at high temperatureTurbine blades, boiler tubing, polymers under sustained loadChoose creep-resistant alloys, lower the stress, lower the temperature
Why fatigue is the dangerous one

Fatigue happens at stresses a static calculation says are perfectly safe. The crack starts at a stress raiser — a sharp internal corner, a bolt hole, a weld toe, a scratch — grows a fraction of a millimetre per cycle, and gives no visible warning until the remaining section fails all at once. It is why engineers round internal corners, and why fatigue-critical parts are given inspection schedules and finite service lives rather than being trusted forever.

4.4Standards and testing

  • Australian Standards (AS and joint AS/NZS) are published by Standards Australia and are the accumulated record of what has worked and what has failed. AS 1100 covers technical drawing; the AS/NZS 1170 series covers structural design actions such as wind and floor loads; AS 4100 covers steel structures.
  • Working to a standard means a part made in one workshop fits one made in another, an inspector can check it against a published rule, and liability is defensible.
  • Destructive testing uses up the sample: tensile test (gives the whole stress–strain curve), Charpy impact test (toughness in joules), hardness testing, fatigue testing to a set number of cycles.
  • Non-destructive testing leaves the part usable: dye penetrant for surface cracks, ultrasonic and radiographic testing for internal flaws, magnetic particle inspection for ferrous surfaces. This is how a bridge or an aircraft is checked without being taken apart.
  • Testing is only meaningful with a sample size and a stated method. One test is an anecdote.

4.5Sustainability and life-cycle thinking

  1. Raw materials. Extraction and processing carry an embodied energy. New aluminium costs in the order of 200 MJ per kilogram to produce; recycled aluminium costs roughly 5 per cent of that. Steel is far lower again per kilogram, at roughly 30 MJ.
  2. Manufacture. Energy, water, scrap and emissions. Nesting parts to reduce offcuts is an engineering decision with a measurable result.
  3. Distribution. Mass and volume become fuel. A part that stacks or nests halves the trucks.
  4. Use. For anything powered, the use phase usually dominates the whole life-cycle total — so a small efficiency gain can outweigh a large manufacturing cost.
  5. End of life. Design for disassembly: mechanical fasteners rather than adhesives, fewer bonded material combinations, and parts marked with their material so they can be sorted. Repair first, then reuse, then recycle.

The engineering point is that these are numbers in the decision, not sentiments beside it. If recycled aluminium meets the strength criterion at a twentieth of the embodied energy, that belongs in the selection matrix with everything else — and stating the whole-of-life cost is often what wins the argument with the client.

Start hereYear 11 · AppliedInformation & Communication Technology

The machine, the network, the work.

Four units covering QCAA Information & Communication Technology Units 1 and 2. This is an Applied subject: it is judged on what you can actually do — diagnose a fault, explain a network, choose the right file format, build a spreadsheet that gives the right number.

The mapFour units, two QCAA units

  1. Hardware and operating systemsUnit 1, Topic 1. The fetch–decode–execute cycle, RAM versus storage, input and output devices, the three buses, what an operating system actually does, and a troubleshooting method that works.
  2. Networks and the internetUnit 1, Topic 2. LAN and WAN, wired and wireless, what a switch, router, modem and access point each really do, IP addresses and DNS, client–server versus peer-to-peer, cloud services, and network security.
  3. Digital media and designUnit 2, Topic 1. Raster and vector, resolution and DPI, RGB and CMYK, file formats and compression with the arithmetic, layout and typography, and accessibility.
  4. ICT in the workplaceUnit 2, Topic 2. Spreadsheet formulas and charts, documents and templates, project workflow and version control, the 3-2-1 backup rule, workstation health and safety, and copyright and Creative Commons.
How an Applied subject is assessed

Questions are practical and situational: "the printer will not print — what do you check, in what order, and why?"; "which file format, and justify it"; "what does this formula return?". Vague answers lose marks. Name the component, name the step, give the number.

Unit 1QCAA Unit 1 · Topic 1Hardware and operating systems

Hardware and operating systems

Every computer, from a phone to a server, does the same three things over and over, billions of times a second. Once you can name those three stages and say what each part of the machine contributes, most hardware questions answer themselves.

1.1The fetch–decode–execute cycle

THE INSTRUCTION CYCLE The program counter holds the address of the next instruction; fetching it advances the counter. The CPU repeats these three stages billions of times a second. 1 FETCH the control unit copies the next instruction from RAM into the CPU instruction 2 DECODE the control unit works out which operation this is and what data it needs what to do 3 EXECUTE the ALU carries out the operation; the result goes to a register or to RAM then the cycle repeats for the next instruction
Figure 1.1 — one instruction, three stagesThe control unit runs fetch and decode; the ALU (arithmetic logic unit) does the actual arithmetic and comparisons in execute; registers are the handful of tiny, extremely fast stores inside the CPU that hold the instruction and its data while all this happens. Clock speed simply counts how many of these cycles fit into a second.

1.2RAM, storage and the buses

RAM (main memory)Secondary storage (SSD, hard disk)
Volatile?Yes — contents vanish when power is lostNo — contents survive a shutdown
SpeedVery fast; the CPU works directly with itMuch slower, even for an SSD
SizeTypically 8–32 GBTypically 256 GB–4 TB
HoldsWhatever is running right now, and its dataEvery file, program and the operating system itself
So…Unsaved work lives here, which is why a power cut loses itSaving means copying from RAM to here

The CPU talks to memory over three buses — bundles of wires, each with one job:

BusCarriesDirectionWhy
Address busThe address being read from or written toOne way, CPU → memoryOnly the CPU ever chooses the location; memory never chooses one for itself
Data busThe actual data or instructionTwo wayData must travel both to memory (write) and from memory (read)
Control busSignals such as read, write and clockMostly CPU → devices, with replies backSomething has to say whether this is a read or a write
  • Input devices put data in: keyboard, mouse, touchscreen, microphone, camera, barcode scanner, sensors.
  • Output devices present results: monitor, printer, speakers, projector.
  • Some devices are both: a touchscreen (input by touch, output by display), a headset, a network card, and any storage device (read and write).

1.3What the operating system actually does

OS roleWhat it means in practiceVisible when…
File managementFolders, names, permissions, and knowing which blocks on the disk hold which fileYou rename a file and nothing else breaks
Memory managementDeciding which program gets which part of RAM, and stopping one program from reading another'sA crashing program takes down only itself
Process schedulingSharing the CPU between programs fast enough that they seem simultaneousMusic keeps playing while you type
Device driversThe translation layer between the OS and one particular piece of hardwareA new printer needs its driver before it will print
User interfaceThe desktop, windows and menus — or a command lineAlways
Security and accountsLogins, permissions, and what each user is allowed to reachA student account cannot install software

1.4A troubleshooting method

Guessing is not a method. The order below is the one used in industry, and it is examined:

  1. Identify the problem. Ask exactly what happens, exactly when it started, and what changed just before.
  2. Gather information. Error messages word for word, what still works, whether anyone else is affected.
  3. Establish a probable cause — and test the simplest, cheapest one first. Power and cables before motherboards.
  4. Test the theory, changing one thing at a time. Change three things and a fix tells you nothing about which one worked.
  5. Apply the fix and verify the whole system, not just the symptom you were shown.
  6. Document the fault and the fix, so the next person — probably you — does not start from zero.
Why "one thing at a time" is worth a mark

If you swap the cable, reinstall the driver and restart the printer all at once and it works, you have not diagnosed anything — and you may have introduced a new fault you will meet next week. Changing one variable at a time is the same discipline as a controlled experiment.

Unit 2QCAA Unit 1 · Topic 2Networks and the internet

Networks and the internet

Four boxes do almost all the work of any small network, and most people cannot say which is which. Learn what each one decides, and you can draw, explain and fault-find a network you have never seen.

2.1LAN and WAN, wired and wireless

LAN — local area networkWAN — wide area network
CoversOne site: a home, a school, an office floorLarge distances: cities, states, the globe
Owned byYou — your cabling, your switchesA carrier; you rent a connection across it
SpeedFast, and free to use once installedSlower, and billed
ExampleThe computers in one school buildingThe link joining a company's Brisbane and Perth offices — and the internet itself, the largest WAN of all
Wired (Ethernet)Wireless (Wi-Fi)
Speed and reliabilityHigher and steadier; the cable is yours aloneShared between everyone in range; drops with distance and walls
InterferenceEssentially noneMicrowaves, other networks, thick walls
SecurityAn attacker needs physical access to the cableThe signal leaves the building; it must be encrypted
Best forDesktops, servers, printers, anything that never movesLaptops, phones, tablets, and rooms you cannot cable

2.2The four boxes, and what each decides

DeviceWhat it actually doesDecides using
SwitchConnects devices within one LAN and sends each message only out of the port where the destination sits — not to everybodyThe destination device's hardware (MAC) address
RouterPasses traffic between two different networks — typically your LAN and the internetThe destination IP address
ModemConverts between the digital signal your network uses and the signal the carrier's line carries (fibre, cable or copper)Nothing — it translates, it does not choose
Wireless access pointAdds Wi-Fi coverage by bridging wireless devices onto the wired LANNothing about routes — it is a radio doorway into the same LAN

The box on a wall at home is usually all four in one case, which is exactly why people confuse them. In an exam, describe the function, not the box.

THE LAN one site, cabling you own THE INTERNET WAN — a wide area network spans large distances; you rent it the carrier’s line MODEM line signal to digital Ethernet ROUTER joins the two networks Ethernet SWITCH one port per device on this LAN three Ethernet cables — one per wired device DESKTOP PC DESKTOP PC PRINTER Ethernet cable ACCESS POINT Wi-Fi — no cable LAPTOP
Figure 2.1 — a small network, device by deviceFollow the path of one web request: laptop → access point (over Wi-Fi) → switch → router (which decides the traffic is leaving the LAN) → modem (which converts it for the carrier's line) → the internet. The dashed boundary is the LAN; everything above the modem belongs to the carrier.

2.3Addresses and names

  • Every device on a network has an IP address. An IPv4 address is four numbers from 0 to 255 separated by dots — 192.168.1.15. It identifies where a device is on the network.
  • Addresses starting 192.168 are private: they work inside your LAN only, and the router presents one public address to the world on behalf of all of them.
  • DNS — the Domain Name System — translates a name people can remember into the IP address machines need. It is the internet's phone book: you look up the name, you get the number, then you make the connection.
  • Which is why "the internet is down" is often really "DNS is down": the connection works, but no name can be resolved into an address.

2.4How the work is shared

Client–serverPeer-to-peer
StructureClients request; one dedicated server providesEvery device is both client and server to the others
Accounts and filesCentral: one login works anywhere, files live in one placeScattered: each machine has its own users and its own files
BackupBack up the server and you have everythingEvery machine must be backed up separately, so in practice some are not
Cost and complexityServer hardware and administrationNearly free; nothing extra to buy
SuitsA school or business — any place needing controlTwo or three machines sharing a printer

Cloud services move some of that off your site altogether:

  • IaaS — infrastructure as a service. You rent raw machines, storage and network, and you still install and manage the operating system and software. Maximum control, maximum work.
  • SaaS — software as a service. You just use finished software over the internet — web email, an online office suite — and the provider runs everything underneath. Minimum work, minimum control.
  • The trade-off in one line: the more the provider manages, the less you can change — and the more your work depends on your internet connection and on their business surviving.

2.5Network security

  • A firewall inspects traffic entering or leaving a network and allows or blocks it against a set of rules. It is a gate with a list, not a virus scanner.
  • A strong passphrase is long, unique to that account, and not built from your own details. Four unrelated words beat one word with letters swapped for symbols, because length defeats guessing far better than punctuation does.
  • Two-factor authentication adds something you have or are, so a stolen password alone is not enough. It is the single most effective thing an ordinary user can turn on.
  • Phishing is a fake message designed to make you hand over credentials. Its signature is manufactured urgency plus a link to a login page it supplies. Real organisations do not close your account in an hour.
  • Social engineering attacks the person rather than the computer: a phone call from "IT" asking for your password, or a stranger held the door for you into the server room. No firewall filters a polite request.
  • Which is why staff training is a genuine security control, and why "check the sender before clicking" belongs on the same list as encryption.
Unit 3QCAA Unit 2 · Topic 1Digital media and design

Digital media and design

Choosing a file format is an engineering decision with numbers behind it. So is choosing a colour model, a resolution and a typeface. This unit is about being able to justify each choice — and to calculate the consequences.

3.1Raster and vector

Raster (bitmap)Vector
Made ofA fixed grid of coloured pixelsShapes described by maths: points, lines, curves, fills
EnlargedThe pixels just get bigger — it goes blockyRedrawn at the new size; perfectly sharp at any scale
File size grows withPixel dimensions and colour depthThe number of shapes, not the display size
Right forPhotographs, scans, screenshots, anything with continuous toneLogos, icons, diagrams, maps, technical drawings, type
FormatsJPEG, PNG, GIF, WebP, TIFFSVG, AI, EPS, and PDF when it holds vector art
The classic exam scenario

A club supplies its logo as a 200 × 60 pixel JPEG and wants it on a three-metre banner. It cannot be fixed by "increasing the resolution": the detail was never captured, and enlarging a raster image only enlarges its pixels. The answer is to obtain or redraw the logo as a vector file, which prints sharply at any size.

3.2Resolution, DPI and file size

  • Resolution is the pixel dimensions of the image itself: 1920 × 1080 means 1920 across and 1080 down — 2,073,600 pixels in total.
  • DPI (dots per inch, or PPI on screen) is how densely those pixels are laid down on paper. It only means something once you state a physical size.
  • Screen work is typically 72–96 ppi; quality print is typically 300 dpi. So an image to be printed 6 inches wide at 300 dpi needs 6 × 300 = 1800 pixels across.
  • Uncompressed file size = width × height × bytes per pixel. Full 24-bit colour is 3 bytes per pixel (one each for red, green and blue).
ImagePixels× 3 bytes eachUncompressed size
800 × 600480,0001,440,000 bytes1.44 MB
1600 × 12001,920,0005,760,000 bytes5.76 MB — four times as big
1920 × 10802,073,6006,220,800 bytes6.22 MB

Note the middle row: doubling both dimensions quadruples the file, because you doubled the width and the height. This is the same arithmetic as a nested loop, and it is why "just send the full-size photo" fills an inbox.

3.3Colour: RGB and CMYK

RGB — ADDITIVE (SCREENS) + + = RED GREEN BLUE WHITE All three off leaves the screen black. Light is ADDED: more light means brighter. CMYK — SUBTRACTIVE (PRINT) + + = CYAN MAGENTA YELLOW MUDDY BROWN Black ink (K) is added for true black and sharp text. Ink SUBTRACTS light from white paper: more ink means darker. Design on screen in RGB; convert to CMYK before printing. Some bright RGB colours have no CMYK ink equivalent, which is why a poster can print duller than it looked.
Figure 3.1 — two opposite colour modelsRGB starts from black and adds light, so all three at full strength give white — that is a screen. CMYK starts from white paper and subtracts light with ink, so all three together give a muddy dark brown, not black — which is exactly why printing adds a fourth, black (K), ink for true blacks and crisp text.

3.4Formats and compression

FormatRaster or vectorCompressionUse it for
JPEGRasterLossyPhotographs, where discarded detail is hard to see and the size saving is huge
PNGRasterLossless, supports transparencyScreenshots, logos on a web page, anything with sharp edges or text
GIFRasterLossless, 256 colours onlySimple animation; poor for photographs
SVGVectorLossless (it is text)Logos, icons and diagrams on the web, at any size
PDFEitherDepends what was placed in itSending a finished document that must look the same everywhere
  • Lossy compression permanently discards detail the eye is unlikely to notice. Far smaller files — but the loss accumulates: re-saving the same JPEG repeatedly degrades it a little further each time.
  • Lossy is wrong for sharp edges. Text and line art develop blurry halos, which is why a screenshot saved as JPEG looks dirty and the same shot as PNG does not.
  • Lossless compression rebuilds the original exactly, bit for bit. Larger files, but nothing is lost no matter how often you re-save.
  • Rule of thumb: photograph → JPEG; anything with text, sharp edges or transparency → PNG; logo or diagram → SVG. Always keep an untouched master in a lossless format and export copies from it.

3.5Layout, typography and accessibility

  1. Alignment. Everything lines up with something else. A single invisible left edge does more for a page than any amount of decoration.
  2. Proximity. Things that belong together sit together; unrelated things get white space between them. Space is what shows the reader the structure.
  3. Contrast and hierarchy. Make the important thing obviously bigger or heavier. If everything is emphasised, nothing is.
  4. Repetition. The same heading style, the same spacing, the same colours on every page — consistency is what makes a set of pages look designed.
  5. Readable type. Body text around 10–12 pt in print; line length about 50–75 characters; at most two or three typefaces in one document; never a whole paragraph in capitals or italics.
  6. Accessibility. Body text needs a contrast ratio of at least 4.5:1 against its background. Every meaningful image needs alt text saying what it conveys; a purely decorative image takes an empty alt attribute so a screen reader skips it rather than announcing "image".
Unit 4QCAA Unit 2 · Topic 2ICT in the workplace

ICT in the workplace

Spreadsheets that give the right number, documents that stay consistent, work that can be found again next month, backups that survive the fire, a chair that does not wreck your back, and images you are actually allowed to use.

4.1The worked spreadsheet for this unit

Every formula below and every question in the drills refers to this sheet. Cell E1 holds the GST rate, 0.1.

ABC
1ItemSoldPrice
2Wrap126.50
3Juice302.00
4Salad88.00
5Muffin203.50

4.2References: relative, absolute and mixed

Written asCalledCopied from D2 down to D3, it becomesUse it when
B2RelativeB3 — the row shifts with the formulaEach row should use its own data
$E$1Absolute$E$1 — unchangedEvery row must use the same one cell, such as a tax rate
$E1Mixed$E2 — the column is locked, the row movesCopying across columns but down rows
E$1MixedE$1 — the row is locked, the column would moveCopying across a header row
The classic fault

Writing =B2*C2*E1 and copying it down. Row 3 quietly becomes =B3*C3*E2, which multiplies by an empty cell — so every GST figure below the first is zero, and nothing looks obviously broken. $E$1 prevents it. The dollar sign locks whatever follows it.

4.3Formulas, with their exact results

FormulaWhat it doesResult on the sheet above
=SUM(B2:B5)Adds every value in the range12 + 30 + 8 + 20 = 70
=AVERAGE(B2:B5)Adds them, divides by how many70 ÷ 4 = 17.5
=COUNTIF(B2:B5,">15")Counts only the cells meeting the conditionOnly 30 and 20 are above 15: 2
=IF(B2>=20,"Restock","OK")Test, then the true value, then the false valueB2 is 12, so the test is false: OK  (the same formula on row 3, where B3 is 30, gives Restock)
=B2*C2  in D2Revenue for that row12 × 6.50 = 78
=B3*C3  in D3, after copying D2 downThe relative references both moved one row30 × 2.00 = 60
=SUM(D2:D5) with D2:D5 = 78, 60, 64, 70Total revenue78 + 60 + 64 + 70 = 272
=D2*$E$1GST on row 2, using the locked rate in E178 × 0.1 = 7.8, and copying it down still uses E1

4.4Choosing a chart that suits the data

ChartRight whenWrong when
Column / barComparing a value across categories — sales per itemRarely wrong; the safe default
LineShowing change over time — monthly sales across two yearsThe horizontal axis is not ordered, so the line means nothing
PieParts of one whole, a handful of slices, adding to 100%Many slices, or values from different wholes — the eye cannot compare angles
ScatterLooking for a relationship between two numeric variablesOne axis is categories rather than numbers

Whatever the chart: title it, label both axes with units, and start a bar chart's value axis at zero. A truncated axis exaggerates a difference, and doing it on purpose is misleading.

4.5Documents, templates and workflow

  • Format with styles (Heading 1, Body), not by selecting text and changing the font. Change the style once and every instance updates; manual formatting has to be hunted down one paragraph at a time.
  • A template fixes layout, styles and branding so every document from it matches, and nobody rebuilds the letterhead from scratch.
  • A project runs brief → plan → produce → review → deliver. The plan lists the tasks, who owns each, how long it should take, and the milestones — the checkpoints where you find out early that you are behind.
  • Version control at concept level: one shared master, numbered versions (v1.0, v1.1, v2.0), and a change log recording what changed, when, and who changed it. Never a folder of report_final, report_final2 and report_FINAL_use_this — none of those names says which is current or what differs.
  • The reason it matters is recovery: version control lets you go back to the state before a bad change, and tells you who to ask about it.

4.6Backups: the 3-2-1 rule

RuleMeansProtects against
3 copiesThe working file plus two backupsOne backup that turns out to be corrupt
2 different mediaNot all on the same drive or the same kind of deviceA single drive failing, or one technology failing
1 copy off-siteAnother building, or a cloud serviceFire, flood, theft, and ransomware that encrypts everything attached

And the step people skip: test a restore. A backup nobody has ever restored from is a hope, not a backup.

4.7Health and safety at a workstation

  • Monitor: top of the screen at or just below eye level, about an arm's length away, tilted to avoid glare from windows and lights.
  • Chair and posture: feet flat on the floor or a footrest, knees roughly 90°, lower back supported, shoulders relaxed.
  • Keyboard and mouse: close enough that the forearms stay roughly horizontal and the wrists straight, not bent up over a raised keyboard.
  • Breaks: stand up and look at something distant every 20–30 minutes. Sustained close focus tires the eye's focusing muscle, and that is what causes the headaches and the gritty eyes.
  • The room: enough light to read by without straining, no glare on the screen, cables routed out of walkways, ventilation and no trip hazards.
  • These are not fussiness. Repetitive strain injury and back damage are the ordinary occupational injuries of desk work, and they are cumulative.

4.8Copyright, licensing and Creative Commons

  • Copyright exists automatically the moment an original work is created — no symbol, registration or fee is needed. Anything you find online has an owner unless you are told otherwise.
  • A licence is permission to use someone's work on stated conditions. "Free to download" is not a licence to republish.
  • Creative Commons licences let a creator grant permission in advance:
  • CC BY — use and adapt it, commercially too, provided you credit the creator.
  • CC BY-SA — as above, but your version must carry the same licence (share alike).
  • CC BY-ND — you may share it but not change it (no derivatives).
  • CC BY-NC — non-commercial use only. Selling anything that contains it is out.
  • CC0 — the creator has waived their rights; effectively public domain.
  • A proper attribution names four things: the title, the creator, the source (a link) and the licence.
Start hereYear 11 · AppliedFurnishing Skills · Units 1–2

Senior furnishing: the reasoning behind the hands.

In Year 10 you learned the workshop's rules. Senior Furnishing Skills asks you to justify them: which duty the law actually places on you, why a board cups the way it does and not the other way, why one joint is specified over another for a named load, and how a finished job is proved to be within tolerance. Four topics across Units 1 and 2.

The mapTwo units, four topics

  1. Unit 1, Topic 1 — Workplace health and safety. The WHS Act's duty of care, the risk management cycle, the hierarchy of controls, SWMS, isolation and lockout, and the cumulative hazards of dust and noise.
  2. Unit 1, Topic 2 — Timber technology. How a tree is built, what seasoning really removes, fibre saturation point, why boards distort, and where each manufactured board is correctly specified.
  3. Unit 2, Topic 1 — Cabinetmaking practice. Setting out and cutting lists, the machining sequence, the joint family matched to load, carcase against frame-and-panel, and the hardware that makes a cabinet work.
  4. Unit 2, Topic 2 — Finishing and quality. Surface preparation, adhesives and assembly times, the five finishes compared, and quality control with real tolerances.
How an Applied subject is actually marked at senior level

Applied assessment rewards correct practice and the justification for it. Nearly every written response asks you to select and justify: name the control and say why it outranks the one below; name the material and link its property to the demand; name the joint and link it to the load it carries; name the finish and link it to the service conditions. A bare noun scores almost nothing. Noun + property + consequence scores the mark.

Unit 1 · Topic 1WHS Act 2011Duty of care · Risk · Controls

Workplace health and safety: duty, risk, control

Safety in a senior workshop is not a poster on the wall. It is a legal duty with named duty holders, a repeatable four-step cycle, and a ranked list of controls that decides which answer earns the marks.

1.1Duty of care under the WHS Act

Australia's workplaces run under harmonised Work Health and Safety laws — in Queensland, the Work Health and Safety Act 2011 and its Regulation, supported by Codes of Practice published by Safe Work Australia. The Act does not simply say “be careful”. It names who owes a duty, to whom, and how far that duty goes.

Duty holderWho that is in a furnishing workshopWhat they must do
PCBU — the person conducting a business or undertakingThe cabinet shop, the school, the contractorEnsure, so far as is reasonably practicable, the health and safety of workers and of anyone else affected by the work — safe plant, safe systems of work, training, supervision, information and facilities.
OfficersDirectors and managers who make the decisionsExercise due diligence: know the hazards, provide the resources, and check that the PCBU's duties are actually being met.
WorkersYou, on the machineTake reasonable care for your own health and safety; take reasonable care that what you do (or fail to do) does not harm others; comply with reasonable instruction; and co-operate with the workplace's policies.
Other persons at the workplaceVisitors, a delivery driver, a client viewing a jobTake reasonable care for themselves and others, and follow reasonable instructions.
“So far as is reasonably practicable” — the phrase that carries the whole Act

It is not “whatever is convenient”. Deciding what is reasonably practicable weighs, together: how likely the hazard is to cause harm; how serious that harm would be; what the person knows or ought to know about the hazard and the ways of removing it; the availability and suitability of those controls; and only then the cost — and cost counts as a reason not to act only where it is grossly disproportionate to the risk. A dust extractor is never grossly disproportionate to a cancer risk, which is why “we couldn't afford it” is not a defence.

1.2The risk management cycle

1  IDENTIFY THE HAZARDS blade, dust, noise, solvent, lifting 2  ASSESS THE RISKS how likely, and how serious, together 3  CONTROL THE RISKS start at the top of the hierarchy, work down 4  REVIEW THE CONTROLS did it work? has anything changed? hands on: a written list of hazards hands on: the ranked risks hands on: the controls now in place hands on: near misses and changes The loop never ends: a new machine, a new adhesive or a near miss sends you straight back to step 1. A risk assessment written once and filed forever has stopped being a risk assessment.
Figure 1.1 — the risk management cycleFour steps, always in this order, from the Safe Work Australia Code of Practice How to manage work health and safety risks. The order matters in an exam: you cannot assess a hazard you have not identified, and you cannot choose a control before you know how serious the risk is. Review is the step students forget — and it is the step that turns a piece of paper into a system.

1.3The hierarchy of controls, at senior level

Safe Work Australia groups the controls into three levels of protection, which the workshop then teaches as six steps. Knowing both the six steps and the three groupings is what separates a senior answer from a Year 10 one: the groupings explain why the order is what it is.

Level of protection#ControlWhat it does to the hazardFurnishing example
Level 1 — the most effective: the hazard is gone1EliminationThe hazard no longer existsOrder the panels cut and edged by the supplier, so nobody rips or edges them at all
Level 2 — the hazard remains, but it is kept away from people2SubstitutionA less hazardous thing does the same jobA water-based lacquer in place of a solvent-based one; a pre-finished board in place of spraying
3IsolationA barrier or distance separates people from itThe spray booth; the thicknesser in its own enclosed, interlocked bay
4EngineeringHardware removes the exposureBlade guard and riving knife, extraction at each machine's cutting point, a power feeder, an emergency stop
Level 3 — the least effective: the hazard is untouched, only the person's behaviour changes5AdministrativeChanges what people doThe SWMS, induction and training, machine sign-off, job rotation away from noise, signage
6PPEA barrier on one person, while wornSafety glasses, Class 5 earmuffs, a fit-tested P2 respirator, enclosed footwear
  • You work down the list and stop at the highest level that is reasonably practicable — you do not choose the easiest.
  • Controls can be combined. Extraction (level 4) plus a fit-tested P2 respirator (level 6) is normal practice for MDF machining; the respirator is the backup, never the plan.
  • Levels 5 and 6 fail the moment a person forgets, is rushed, or is new. Levels 1–4 keep working whether or not anyone remembers them — which is the whole argument for the order.

1.4Safe Work Method Statements, isolation and lockout

  • A SWMS (Safe Work Method Statement) is a written document that sets out, for one activity: the task and its high-risk elements, the hazards, the control measures chosen from the hierarchy, and how those controls will be put in place, monitored and reviewed. It is prepared before the work starts, kept where the work happens, and revised when the job or the risk changes.
  • A safe work procedure or machine SWP is the same discipline applied to one machine: PPE, pre-start checks, the correct steps in order, and what to do if something goes wrong. In a school workshop you sign one before you are allowed on the machine.
  • Guarding is an engineering control, so removing a guard is a five-level demotion in one movement. Guards that must be removed for setting are interlocked, so the machine cannot run with the guard open.
  • Isolation and lockout/tagout: before any blade change, jam clearing or setting, the machine is switched off at its isolator, all movement is allowed to stop, the isolator is locked with a personal lock and tagged with the name of the person working on it. The person who fits the lock is the only person who removes it — that is what makes it a control rather than a promise.
  • Emergency stop is located before the machine is started, not after something has gone wrong.

1.5Dust, noise and chemicals: the cumulative hazards

  • Wood dust is a health hazard, not just a mess. The fine fraction reaches deep into the lungs, and hardwood dust is classified as a carcinogen — it is an established cause of cancer of the nose and sinuses, which is why its workplace exposure standard is far stricter than the standard for softwood dust. MDF adds a very fine, resin-bearing dust of its own. The control order is extraction at the cutting point (level 4) first, general ventilation and housekeeping next, and a fit-tested P2 respirator last. A respirator that does not seal — on a beard, or with a slack strap — provides close to nothing.
  • Noise damage is cumulative, painless and permanent. The Australian exposure standard is an eight-hour equivalent of 85 dB(A), with a peak limit of 140 dB(C) that must never be exceeded. Routers, thicknessers and extraction fans sit above that all day. There is no warning ache and no recovery: every unprotected hour adds to a total that only moves one way.
  • Chemicals: read the SDS. Every hazardous chemical in the workshop — solvent lacquer, two-pack polyurethane, contact adhesive, thinners — must have a current Safety Data Sheet supplied by the manufacturer, kept readily accessible to everyone who uses it. The SDS names the hazards, the required ventilation and PPE, the first-aid response, the fire response, and safe storage and disposal. Containers must be correctly labelled, and decanted product labelled too. Two-pack finishes containing isocyanates need a level of respiratory protection and ventilation that ordinary spraying does not.
  • Manual handling is the quiet one: sheet goods are heavy, awkward and sharp-edged. A full sheet of 18 mm MDF is a two-person or mechanical lift, and a panel saw or a lifter is an engineering control, not a luxury.
Unit 1 · Topic 2MaterialsTimber technology

Timber technology: the material explained, not just named

Year 10 taught you that timber moves. Senior Furnishing Skills asks how much, in which direction, and why — and expects you to predict what a board will do before you cut it.

2.1How a tree is built

Outer bark Inner bark (phloem) Cambium Sapwood One growth ring Medullary ray Heartwood Pith dead and corky; it protects the trunk carries sugars down from the leaves the only living layer: makes wood inwards younger, still conducting sap, far less durable one year: pale earlywood then dense latewood runs outwards; gives quarter-sawn figure dead, darker, full of extractives: durable the seedling's centre; weak, usually cut out Drawn as an end section — the log is cut straight across, so every layer can be seen at once.
Figure 2.1 — the log in sectionOnly the cambium is alive: it lays down new wood on its inside and new phloem on its outside, one ring a year. Wood therefore gets older towards the centre, and the innermost rings die and become heartwood, plugged with extractives that make it darker, more durable and less permeable. Sapwood is younger, paler, still full of sap, easier to treat with preservative and far more attractive to borers. When you buy a durable hardwood, you are buying heartwood.
HardwoodSoftwood
Botanical classAngiosperm — broadleaved, flowering, seeds in a fruit or capsuleGymnosperm — needle-leaved conifer, seeds in a cone
Cell structure (the senior-level difference)Has vessels (pores) for conducting sap, plus fibres for strength — a more complex structure, and the pores are what make the grain look openNo vessels. Tracheids do both jobs, conducting and supporting — a simpler, more uniform structure
GrowthSlow, decades to a centuryFast; plantation radiata pine is harvested at about 30 years
Australian examplesJarrah, spotted gum, blackbutt, Tasmanian oak, blackwood, silky oakRadiata pine, hoop pine, cypress pine, Douglas fir
The exception to quoteBalsa — a hardwood you can dent with a thumbnailCypress pine — a softwood hard enough to blunt tools

2.2Seasoning, moisture content and fibre saturation point

Water sits in green timber in two different places, and that is the whole key to seasoning. Free water fills the hollow cell cavities. Bound water is held chemically inside the cell walls themselves. Drying removes the free water first, and while only free water is leaving, the timber does not shrink at all — the cell walls are still full.

The point at which the cavities are empty but the walls are still saturated is the fibre saturation point, at roughly 30% moisture content. Below that, bound water starts leaving the cell walls, the walls themselves get thinner, and the timber shrinks. Above 30% MC the timber is also wet enough for decay fungi to work. Both facts come from the same number.

Moisture content — the formula, and the trap in it

MC% = (wet mass − oven-dry mass) ÷ oven-dry mass × 100. Notice you divide by the oven-dry mass, not the wet mass. That is why moisture contents above 100% are perfectly possible: a green board can hold more water than it holds wood. A board of 900 g that oven-dries to 500 g has lost 400 g of water from 500 g of wood — a moisture content of 80%.

Air dryingKiln drying
HowStacked outdoors under cover on bearers, every layer separated by stickers so air passes between all facesA chamber with controlled temperature, humidity and air flow, run to a schedule for that species and thickness
TimeMonths to years — a rough guide is a year per 25 mm of thicknessDays to weeks
How dry it getsOnly down to the local outdoor equilibrium — typically 12–18% MC, too wet for indoor furniture on its ownAny target: 10–12% for indoor furniture is normal, and it is repeatable
Other effectsCheap, low energy, gentle — but uncontrolled, and it does not kill insects or set the resinKills borers and their eggs and can set resin in pine — but energy costs money, and a rushed schedule causes collapse, honeycombing and case hardening
  • Equilibrium moisture content (EMC) is the moisture content at which timber neither gains nor loses moisture in the surrounding air. It is set by the air's temperature and relative humidity, so it changes with the season and with air conditioning. Timber is hygroscopic: it chases its EMC forever, which is why seasoning is not permanent and why a job is always acclimatised in the room it will live in before it is machined.
  • Case hardening is the kiln fault most worth knowing: the outer shell dries and sets while the core is still wet, leaving the shell in compression and the core in tension. The board looks perfect — until it is ripped, when it pinches the blade and springs violently out of straight.

2.3Movement, sawing method and the named defects

Timber moves by very different amounts in its three directions, and the ratio is the reason boards distort rather than simply getting smaller:

DirectionMovementConsequence for the maker
Tangential — along the growth ring, around the logGreatest — about twice the radial movementA back-sawn board's width changes most, and it cups
Radial — across the rings, out from the centreAbout half the tangential movementA quarter-sawn board is the most dimensionally stable across its width
Longitudinal — along the length of the grainNegligible — a fraction of one per centLength can be treated as fixed; only width and thickness need allowances
Growth rings concentric, one added each year Back-sawn (flat-sawn) board rings run roughly parallel to its wide face cheaper, more yield, bold flame figure — but it cups Quarter-sawn board rings run roughly at right angles to its wide face half the width movement, stays flat, shows ray figure Pith — the weak centre of the log THE SAME BACK-SAWN BOARD, AFTER DRYING Heart side — the face that was nearer the pith shorter rings, so it shrinks less: this face crowns up Bark side — the face further from the pith longer rings, so it shrinks more: this face goes hollow The rings try to straighten as they dry, so a back-sawn board always cups AWAY from the heart side.
Figure 2.2 — sawing method decides how a board movesA back-sawn board takes its width across the rings' tangential direction, so it shrinks most in width and cups away from the heart side — but it is cheaper, yields more boards per log and shows the bold flame figure. A quarter-sawn board takes its width in the radial direction, so it moves about half as much, stays flat, and shows the medullary ray figure — at the cost of more waste and a higher price. Specifying quarter-sawn for a wide tabletop or a door panel is a justification a marker will pay for.
DefectWhat it looks likeCause
CuppingThe board curls across its width, like a shallow gutterTangential shrinkage exceeds radial — the face further from the heart shrinks more
BowingA curve along the length, seen on the faceUneven drying along the board, or poor stacking with too few stickers
Spring (crook)A curve along the length, seen on the edgeReleased growth stresses, or grain that runs out of the edge
Twist (wind)The four corners no longer lie in one planeSpiral or interlocked grain drying unevenly
CheckingSmall splits opening along the grain on the surface or the endThe surface dried far faster than the core — drying too hard, or unsealed end grain
CollapseThe board looks washboarded and undersizedCell cavities crushed by drying too fast at high temperature, above fibre saturation point

2.4Manufactured boards: specifying, not just naming

BoardConstructionSpecify it when…Do not specify it when…
PlywoodAn odd number of veneers, each at 90° to its neighbours and balanced in pairs about the central core, so both faces run the same way and the sheet stays flatStrength-to-weight or a thin panel matters; the panel is curved; the job meets moisture and an A-bond (phenolic) grade is usedA crisp routed profile is wanted — the plies show and the face veneer is thin enough to sand through
MDFWood broken to individual fibres, blended with resin and hot-pressed — no grain, uniform right throughThe work will be painted or veneered, or routed to a moulded edge; a dead-flat surface is neededIt will get wet (it swells irreversibly), or screws must hold in the edge; and never without extraction — the dust is very fine
ParticleboardWood chips and flakes with resin, pressed with finer chips at the faces; usually supplied melamine-facedCost governs and the panel is supported: flat-pack carcases, shelving on short spans, bench substratesLong unsupported spans (it sags), edge screwing, or anywhere water can reach
Veneered boardA sliced decorative veneer on an MDF or particleboard substrate, with a balancing veneer on the backThe look of solid timber is wanted on a stable, wide, cheap panel — the whole basis of commercial furnitureThe surface must survive repeated re-sanding — the veneer is often under 0.6 mm thick
Why a veneered panel must be balanced

A veneer glued to one face only will shrink as it dries and pull that face concave — the panel bows. A balancing (backing) veneer of similar thickness on the opposite face pulls equally the other way, and the panel stays flat. It is the same principle that makes plywood's ply count odd and its layers mirrored about the core: symmetry about the centre keeps a panel flat.

Unit 2 · Topic 1PracticeCabinetmaking

Cabinetmaking practice: from cutting list to cabinet

A cabinet is made twice: once on paper as a set-out and a cutting list, and once in timber. Get the first one wrong and no amount of skill at the machines will rescue it.

3.1Setting out and the cutting list

  • A setting-out rod is a full-size drawing of the job's critical sections on a board or a strip of MDF. Because it is full size there is no scale to misread and no arithmetic to get wrong: every part is taken directly off the rod, and every part therefore agrees with every other.
  • A cutting list is the ordered table of every component: part name, quantity, material, and finished length × width × thickness, with the grain direction noted where it matters. Machining allowances are added to the sawn sizes, never to the finished sizes on the list.
  • Order the list by material and by machine setting, not by where the parts end up. Everything that gets the same thicknesser or fence setting is cut together — parts machined at one setting are identical, parts machined at two settings are only nearly identical.
  • Work from a face side and face edge, marked on every component, and take every later measurement from those two surfaces. This is what stops small errors accumulating along a job.
  • Check the list against the drawing before cutting anything, and check the total stock needed, remembering that every saw cut turns a kerf's width of timber into dust.

3.2The machining sequence

Solid timber is prepared in a fixed order, and the order is not arbitrary: each step provides the reference surface that the next machine needs. Skip the buzzer and the thicknesser will faithfully copy the bend already in the board.

#StepMachineWhy it must be here
1Dock and rip oversize — roughly to length and width, with allowance left onDocking saw, rip sawShorter, narrower pieces are easier to straighten, and cutting releases growth stresses now rather than later
2Machine one face side flatBuzzer (surface planer / jointer)Creates the first true reference surface — nothing before this is trustworthy
3Machine one face edge square to the face sideBuzzer, against the fenceGives a second reference, at a known 90° to the first
4Thickness the opposite face parallel to the face sideThicknesserThe thicknesser copies whatever face rides on its bed — so that face must already be flat
5Rip to finished width, face edge against the fencePanel or rip sawBoth reference surfaces now exist, so the cut is parallel and square
6Dock to finished length, face edge against the fence, using a stop for repeatsDocking sawLength last, so nothing that follows can shorten it — and a stop makes every repeat identical

After that the joints are cut: routing for housings, rebates, grooves and moulded profiles; mortising for frames; docking with a stop for repeated shoulders. Cut the joints while the components are still square-ended and unshaped — curves and mouldings go last, because they destroy the flat reference faces every jig needs.

3.3Choosing the joint for the load

JointWhat it resists bestCorrect applicationWhy not something else
ButtAlmost nothing on its own — end grain gives no useful glue bondOnly where a fastener, dowel or block does the real work, or where a back panel braces the boxAny load at all needs an interlock or extra glue area
Lap (half lap)Racking in a light frame; gives one long-grain gluing faceCross-halvings, light face frames, jigsWeaker than a tenon and it shows on both faces
Housing (dado)Downward load — the trench walls carry the shelf directlyFixed shelves and dividers in a carcase; stopped at the front so it does not showA butt joint would rely on screws alone in end grain
RebateLocation and a right-angled seat; two glue facesCabinet backs, glazing, drawer bottoms, box cornersNot a structural corner on its own — it is usually nailed or screwed as well
Mortise and tenonRacking — large long-grain cheeks plus shoulders that stop the rail rotatingChair and table frames, doors, anything with legs and rails; haunched where the joint runs out at the top of a stile, so the groove is filled and the tenon cannot twistDowels give far less glue area and no shoulder resistance
DovetailWithdrawal — the wedged tails cannot pull out even ungluedDrawer fronts and backs, fine boxes. Lapped (half-blind) at a drawer front so no end grain shows on the faceAny glue-only joint eventually fails under a repeated pull
DowelAlignment plus modest shear; adds long-grain surface inside end grainFace frames and light carcases where machinery for tenons is not availableAccuracy is unforgiving — the holes must match exactly in both parts
BiscuitMainly alignment, with a useful gain over a plain buttEdge-joining boards, lining up panels and carcase parts quicklyNot a substitute for a tenon in a frame — the biscuit is short and thin
Domino / loose tenonRacking and shear, like a mortise and tenonProduction frames and carcases — effectively a machine-cut mortise and tenon in secondsNeeds the specific machine; otherwise cut a real tenon
Writing a justification that scores

Three parts, one sentence: the load, the joint, the property that answers the load. “A drawer front is pulled straight out several times a day, so it needs a mechanical interlock rather than glue alone: a lapped dovetail, whose wedge-shaped tails cannot withdraw and whose lap hides the end grain on the drawer face.” Compare with “a dovetail, because it is strong” — same joint, a fraction of the marks.

3.4Carcase construction and frame-and-panel

CARCASE CONSTRUCTION — a box of panels Top Bottom Side the two uprights Side Fixed shelf in a stopped housing the trench walls carry the load directly Back panel, set into a rebate seen through the opening; it squares the box The panels themselves are the structure, and manufactured board barely moves, so the joints can be rigid housings and rebates. FRAME-AND-PANEL — a door Top rail Bottom rail the horizontal members, between the stiles Stile the two vertical members running the full height of the door Stile Panel — floating in its groove never glued, so it can swell and shrink without splitting the frame apart
Figure 3.1 — two ways to build, two different problems solvedIn a carcase, flat panels are the structure; because manufactured board barely moves, the joints can be rigid housings and rebates and the back panel does the squaring. In a frame-and-panel, the narrow stiles and rails are jointed rigidly to each other, but the wide solid panel is left floating in its groove and never glued — it is free to swell and shrink across its width without splitting itself or bursting the frame apart. That is the single reason frame-and-panel construction was invented, and it is a standard exam question.

3.5Hardware

HardwareHow it worksSpecified when
Butt hingeTwo leaves let into the door edge and the carcase; the knuckle sets the pivotTraditional and inset doors; nothing is adjustable afterwards, so the fitting must be right first time
Concealed cup hinge (European)A 35 mm cup bored into the door, on a mounting plate screwed to the carcase side; adjustable for height, depth and sideways alignment after fittingAlmost all modern cabinets: it is invisible when closed, and the three-way adjustment lets a run of doors be aligned perfectly on site
Side-mounted ball-bearing runnersA runner each side, needing a fixed clearance between drawer box and openingGeneral drawer work; simple to fit, and the standard clearance is 12.5 mm each side, so the box is made 25 mm narrower than the opening
Undermount runnersHidden beneath the drawer box, gripping the underside of the drawer bottomHigher-quality work where the drawer sides must be seen without hardware showing; the drawer box sizes are set by the manufacturer's specification
Cam lock fitting (knock-down)A steel dowel screwed into one panel engages a cam housed in the other; a quarter turn draws the parts tightFlat-pack and knock-down furniture: it must assemble with a screwdriver and come apart again
Confirmat screwA coarse-threaded screw into a stepped pilot hole in the panel edgePermanent particleboard and MDF carcase assembly — it holds far better in a board edge than an ordinary screw
Shelf pins on the 32 mm systemRows of 5 mm holes at 32 mm centres up both cabinet sides, taking pins, hinge plates and runnersAdjustable shelving and any production cabinet — one drilling pattern serves every fitting
Unit 2 · Topic 2QualityFinishing · Tolerances

Finishing and quality: proving the job is right

The finish is the only part of your work a client ever touches, and quality control is what turns “it looks all right” into a measured statement. Both are examined, and both are about doing things in a fixed order.

4.1Surface preparation

Abrasive paper does not smooth timber — it scratches it in a controlled way. Every grit leaves a field of scratches of its own size, and the next grit's only job is to replace them with finer ones. That is why the sequence runs coarse to fine and why a grit cannot be skipped: 180 is not aggressive enough to cut out 80-grit scratches, so it merely polishes the ridges between them and the coarse scratches stay, invisible on bare timber, until the first coat of finish makes them appear as dark lines.

  • A typical schedule is 80 → 120 → 180 → 240. Start at the coarsest grit the job actually needs — starting too coarse creates damage you then have to sand away.
  • Vacuum and wipe between grits. One stray 80-grit particle dragged along under a 180-grit sheet cuts a scratch you must chase out from the beginning.
  • Sand with the grain and use a block or a machine platen on flat work; fingers dig hollows, especially near edges.
  • Do not go finer than the finish needs. Beyond about 240 the surface begins to burnish, closing the pores so that stain and penetrating oil are absorbed unevenly and blotch.
  • Raise the grain before a water-based finish: wipe with a damp cloth, let it dry, and cut the lifted fibres off with a light pass of the final grit. Otherwise the first coat does the lifting and the surface dries rough.
  • Ease the arris — a knife-sharp edge holds almost no finish and dents at a touch.
  • Dried glue is the classic preparation failure: it is invisible on bare timber and shows as a pale patch that refuses stain. Remove squeeze-out at assembly, and check the surface under a low raking light before the first coat.

4.2Adhesives and the assembly window

PVA (polyvinyl acetate) is the workshop default, and on long grain a properly made PVA joint is stronger than the timber beside it — loaded to destruction, the wood fails and the glue line does not. Senior work separates two different times that Year 10 treats as one:

TermDefinitionWhat happens if you exceed it
Open assembly timeFrom spreading the adhesive until the two parts are brought togetherThe surface skins over. The joint closes and looks perfect but is effectively unglued.
Closed assembly timeFrom bringing the parts together until full clamping pressure is appliedThe glue has begun to set before the joint is pulled tight, so the glue line stays thick and weak.
Clamp (press) timeHow long the clamps stay on before the assembly can be handledHandled early, the joint creeps and the assembly loses square.
Full cureAround 24 hours before the joint takes design load or is machinedMachining a green glue line tears it open and clogs the cutter.
  • Clamping pressure does not make a joint strong; it makes the glue line thin and even. Too little and you get a thick, weak line and gaps. Too much and you squeeze out so much adhesive that the joint is starved — and you can bow the components. The target is firm, even pressure that produces a small continuous bead of squeeze-out along the whole joint.
  • Always dry-fit first, with every clamp and caul laid out and adjusted, before the bottle is opened. The clock starts when the glue is spread, not when you are ready.
  • Check for square while it is still wet: measure both diagonals of a frame or carcase — equal diagonals mean square. Also sight across the assembly for wind.
  • Choosing the adhesive: interior PVA for dry indoor work; cross-linking PVA where moisture or heat is possible; polyurethane for exterior and oily timbers (it needs moisture to cure and foams as it goes); contact adhesive for laminates — coated on both faces, left to touch-dry, then pressed, with no repositioning at all once the faces meet; hot melt for edge banding and temporary holds; epoxy where gap filling and water resistance both matter.

4.3The five finishes compared

PENETRATING FINISH — an oil Oil, cured inside the timber's fibres nothing sits on top of the surface Timber below, unaffected a scratch reaches only more timber, so re-oiling that spot repairs it How far the oil soaked in FILM-FORMING FINISH — a polyurethane Cured film sitting on top of the timber hard, and resistant to water, heat and abrasion Timber, sealed beneath the film damage is to the film, so repair means abrading the area and recoating Both are drawn as sections — the timber is cut through, so the depth each finish reaches can be seen.
Figure 4.1 — penetrating against film-formingThis single distinction predicts nearly everything else about a finish. A penetrating finish cures inside the timber: low protection, natural feel, and a scratch is repaired invisibly by wiping more finish on that one spot. A film-forming finish cures as a layer above the timber: much better protection against water, heat and abrasion, but the damage is to the film, so repair means abrading and recoating an area rather than a spot.
FinishHow it curesProtectionApplicationRepairability
Oil (danish, tung, hardwax)Penetrates and cures inside the fibresLow to moderate — water-resistant, not waterproof; no heat resistanceWiped or brushed on and the excess wiped off; several thin applicationsExcellent — clean and re-oil the damaged spot; no stripping
WaxA soft buffed film; the solvent flashes offLowest of all — marks with water, heat and fingerprintsApplied on a cloth and buffedExcellent — re-wax and buff whenever it dulls
ShellacA resin dissolved in alcohol; the alcohol evaporatesLow — poor against water, heat and alcohol (a spilled drink marks it)Brushed, padded or French polished; dries in minutesVery good — new shellac re-dissolves the coat below, so repairs blend in
Lacquer (nitrocellulose, pre-catalysed)Solvent evaporates; each coat softens and melts into the one belowGood — the standard commercial furniture finish; less heat- and solvent-resistant than polyurethaneSprayed, in a booth with extraction and correct respiratory protection; dries very fastVery good — because coats burn into each other, a damaged area can be re-sprayed and blended
Polyurethane / varnishCures by chemical reaction into a hard cross-linked filmHighest — water, heat, solvents and abrasionBrushed, wiped or sprayed in thin coats, de-nibbed between coatsPoorest — a cured coat will not re-dissolve, so repair means abrading the area (or the whole panel) and recoating
Selecting a finish, for full marks

Name the service conditions first, then the finish, then the property that answers them. A café tabletop meets spilled drinks, hot cups and constant abrasion, and will be cleaned daily by staff who cannot re-oil it — so a two-pack polyurethane is specified for its water, heat and abrasion resistance, accepting that damage will need the panel sanded and recoated. A hand-made timber jewellery box that its owner will handle for decades takes a hardwax oil, because the low protection is enough and the owner can repair a scratch themselves. Same question, two different correct answers — the conditions decide.

4.4Quality control, tolerances and rectification

  • A tolerance is the permitted variation from a stated size. Written 400 ± 0.5 mm, it accepts anything from 399.5 to 400.5 mm — a tolerance band 1 mm wide. Tighter tolerances cost more machine time and produce more rejects, so they are specified only where the fit actually matters.
  • In furnishing, the tolerances that matter are usually about fit and consistency rather than absolute size: a run of doors with even 3 mm gaps looks right even if all of them are 0.5 mm narrower than drawn, whereas one door 2 mm out among five looks broken.
  • Inspect at each stage, not at the end. Check components off the cutting list before joints are cut; check joints dry-fitted before glue; check square and wind before the glue grabs; check the surface under raking light before the first coat. A defect found at its own stage costs minutes; the same defect found after finishing can cost the component.
  • Standard checks: diagonals equal for square; a straight edge and feeler for flatness; winding sticks sighted across a frame for twist; a consistent gap measured with the same offcut used as a gauge; hinges and runners checked for full travel and self-closing before the job leaves.
  • Rectification is graded: re-sand and re-coat a finish defect; fill and colour-match a small blemish where the panel is not visible in raking light; re-machine or replace a component that is outside tolerance. Deciding which of the three is honest — rather than filling something that should be remade — is part of what is assessed.
  • Record what you did. In an Applied subject, a quality record — the checks made, the results, and the action taken — is evidence, and evidence is what is marked.
Start hereYear 11 · AppliedIndustrial Graphics Skills · Units 1–2

Drawings that a stranger can build from.

Senior Industrial Graphics is a language subject: the vocabulary is AS 1100, the grammar is third-angle projection, and the test of fluency is whether a person you will never meet can make your part correctly from your sheet alone. Four topics across Units 1 and 2 — standards, orthographic, pictorial, and CAD through to the machine.

The mapTwo units, four topics

  1. Unit 1, Topic 1 — Drawing standards. AS 1100, the full set of line types including section and cutting-plane lines, lettering, sheet layout and title block, and scale arithmetic done exactly.
  2. Unit 1, Topic 2 — Orthographic projection. Third angle as Australian practice, view selection and alignment, the dimensioning rules, sectional views and hatching, and auxiliary views.
  3. Unit 2, Topic 1 — Pictorial and presentation drawing. Isometric and its ellipses, cavalier and cabinet oblique, one- and two-point perspective, exploded assemblies with balloons and a parts list.
  4. Unit 2, Topic 2 — CAD and digital documentation. Parametric modelling, constraints and design intent, assemblies and mates, drawings generated from the model, file formats, and the route to CNC and 3D printing.
The single idea the whole subject hangs on

A technical drawing is not a picture — it is an instruction that has to survive the journey. It may be read by a machinist in another state, a supplier overseas or a CNC operator in five years' time, none of whom can ask you what you meant. Every convention in this course exists to remove one more way of being misunderstood, and every mark in the exam is given for applying one.

Unit 1 · Topic 1AS 1100Lines · Sheets · Scales

Drawing standards: the grammar of AS 1100

Every line on a drawing means one particular thing, and its thickness and pattern are how it says which. Get the line types and the sheet conventions right and a large part of the paper is already yours.

1.1The standard, and why there is one

  • AS 1100 is the Australian Standard for technical drawing. It fixes the line types and their thicknesses, the projection method, the dimensioning rules, the lettering and the sheet layout, so that every drawing produced in this country reads the same way.
  • A drawing is also a legal and commercial record: quotes are priced from it, contracts refer to it, and a finished part is inspected against it. If the drawing is ambiguous, the cost of the mistake follows the ambiguity.
  • Lettering is upright, single-stroke and in capitals, of a consistent height — typically 3.5 mm for notes and dimensions and larger for titles. It is chosen for legibility after photocopying, faxing, scanning and printing at half size, not for looks.
  • Standards are what let the work be split up. The designer, the estimator, the machinist and the inspector are usually four different people in three different places, and the drawing is the only thing they share.

1.2The line types

CONTINUOUS THICK — visible outline every edge you can actually see in this view SHORT DASHES, THIN — hidden detail an edge that exists but is behind material here LONG-SHORT CHAIN, THIN — centre line the axis or centre of a hole or a symmetrical part 60 THIN, ARROWHEAD EACH END — dimension line carries the size, written above the line, in millimetres extension line extension line A A THICK CHAIN WITH ARROWS — cutting plane where the object is imagined cut, and which way you then look the two arrows show the direction of view the letters A–A name the section HATCHING AT 45°, THIN — cut material only material the cutting plane passed through is hatched Thickness is meaning, not decoration: only the visible outline and the cutting plane line are thick.
Figure 1.1 — the line types, each drawn in its own conventionA drawing in which every line is the same weight is unreadable, because the eye can no longer separate the object from the notes about it. Two conventions worth memorising: hidden lines start and finish with a dash, and a dash meets a visible line rather than crossing it, so the reader sees exactly where the hidden feature begins; and centre lines cross at their long dashes at the centre of a circle and extend a little past the feature — a centre line is never used as an edge.

1.3Sheet layout and the title block

DRAWING TITLE DRAWN BY DATE SCALE DRAWING No. the views are drawn in this area Sheet border the trimmed edge of the sheet Frame the working border — nothing is drawn outside it Title block title, who drew it, date, scale, drawing number and the third-angle symbol — always bottom right Drawn to show the layout only — the views themselves are not shown here.
Figure 1.2 — the sheetThe title block sits in the bottom right corner of every sheet, because that is the corner still visible when drawings are stacked or folded. It carries the drawing's identity — title, drawing number, revision, scale, date and who drew it — plus the projection symbol, so a reader anywhere in the world knows how to interpret the layout before reading a single dimension.

1.4Scale, done exactly

A scale is written drawing : real. Read it as a ratio and every calculation is one multiplication or one division.

ScaleMeansReal size → size on paperMeasured on paper → real size
1:1Full size60 → 6060 → 60
1:2Half size — divide by 2290 → 145145 → 290
1:5One fifth size — divide by 5350 → 7086 → 430
1:10One tenth size — divide by 102400 → 24063 → 630
2:1Twice size — an enlargement, for small parts7.5 → 1515 → 7.5
The rule that catches everyone, every year

The number written beside a feature is always the true size of the real object, whatever the scale. On a 1:5 drawing a 350 mm shelf is drawn 70 mm long and labelled 350. Never write the paper measurement; and never measure a drawing to find a size that is already written on it, because the sheet may have been printed at a reduced size.

Choosing a scale: work out what the largest dimension becomes at each standard scale, and take the largest scale that still fits the space, because bigger is easier to read. A 900 mm door in a 200 mm space becomes 900 at 1:1, 450 at 1:2, 180 at 1:5 and 90 at 1:10 — so 1:5 is the answer.

Unit 1 · Topic 2AS 1100Third angle · Sections

Orthographic projection: views that agree

One picture of a solid always hides something. Orthographic projection answers with several flat, square-on views — and Australia arranges them in third angle. The test of a correct drawing is that the views agree with each other in width, height and depth.

2.1Third angle: each view on the side you looked from

In third-angle projection every view is placed on the same side as the direction you looked from. Look down from above and the top view is drawn above the front view; look from the right and the right side view is drawn to the right. This is Australian practice under AS 1100, and it is also North American practice. First angle, used across Europe and much of Asia, puts the views on the opposite sides — which is exactly why the projection symbol in the title block is not optional.

TOP VIEW FRONT VIEW RIGHT SIDE VIEW Centre lines they cross at the hole's centre Projection lines thin dashes that prove the views agree in width, height and depth Hidden detail the ⌀20 hole — an edge behind material, in the front and side views Visible edge — the face of the step where the top surface drops to the notch floor Visible edge the notch floor, seen edge-on from the right THIRD ANGLE (AS 1100): each view is drawn on the side you looked from — the top view ABOVE the front view, the right side view to its RIGHT. The block is 80 wide × 50 deep × 40 high. A 20 × 15 notch runs right through the depth at the top right. A ⌀20 hole is drilled straight through the block, 25 mm from the left-hand end and 25 mm from the front face. Check the agreement: every width in the top view matches the front view below it, and every height in the side view matches the front view.
Figure 2.1 — one block, three agreeing viewsDerive the views from the solid and check them against each other. The front view shows the notched profile, with the hole hidden behind material. The top view is the plain 80 × 50 rectangle plus one visible edge at the step and the hole as a true circle. The right side view is the plain 50 × 40 rectangle plus one visible edge where the notch floor is seen edge-on, with the hole hidden again. Top view and front view share width; front view and side view share height; top view and side view share depth. Those three agreements are the check that a drawing is right.
  • Choose the front view first: the face that shows the object's most characteristic shape, in its normal working position, and with the fewest hidden lines. Every other view then follows from it.
  • Draw only as many views as the object needs. Three is typical; a turned part often needs one plus a diameter; a flat plate needs one plus a thickness note. Extra views cost time and add ways to disagree.
  • The third-angle symbol is a truncated cone drawn in two views, placed in the title block. In third angle the end-on view (two concentric circles) sits on the left and the side view of the cone on the right. In first angle they are the other way round.

2.2Dimensioning rules

  1. Dimension each feature once, and once only. If a slot width appears in both the front and the top view, an edit can leave the two disagreeing and nobody can tell which is right.
  2. Work from a datum. In parallel (datum) dimensioning, every dimension is measured from the same chosen edge or face, so errors cannot accumulate. In chain dimensioning each dimension starts where the last one finished; it reads well and is correct where each individual step matters, but the tolerances add up along the chain, so it is not used where the overall length must be exact.
  3. Millimetres, and do not write “mm”. All dimensions are in millimetres, the unit symbol is left off each number, and one note on the sheet states ALL DIMENSIONS IN MILLIMETRES.
  4. Put dimensions outside the outline wherever possible, on the view that shows the feature most clearly, and never let a dimension line cross another.
  5. Numbers read from the bottom or the right of the sheet, and sit above the dimension line, clear of it.
  6. Diameters are marked ⌀ and radii R. ⌀12 is a 12 mm hole; R6 is a 6 mm radius corner. A diameter is dimensioned on the view where the feature appears as a circle wherever that is clearer.
  7. Extension lines run out from the object with a small gap at the object, and extend a little past the dimension line. They never carry the size themselves.

2.3Sectional views

When a part has enough internal detail that the hidden lines become a thicket, you section it: imagine the object cut through, throw away the piece in front of the cut, and draw what is left. Everything that was hidden becomes visible, and the hidden lines are no longer needed.

A A TOP VIEW SECTION A–A Centre line of the hole a thin long-short chain line Cutting plane A–A a thick chain line marking where the object is imagined to be cut the letters A–A name the section Viewing direction arrows you look the way they point Hatching at 45° only material the cutting plane actually passed through is hatched The hole is now an opening its walls are drawn as visible outlines, and no hidden lines are needed A FULL SECTION: the cutting plane passes right through the object, and everything in front of the plane is imagined removed. Here the cutting plane runs along the hole's centre line, so the thicker cutting plane line takes its place.
Figure 2.2 — a full sectionThree conventions do all the work. The cutting plane line is a thick chain line with arrows at its ends showing the direction of view, and letters that name the section. The section view is titled SECTION A–A to match. Hatching is thin lines at 45°, drawn only on material the plane actually passed through — the hole is a void, so it is left clear, and its walls become ordinary visible outlines. The mistake to avoid is hatching the hole, which claims there is metal where there is a void.
ViewWhat it isUsed when
Full sectionThe cutting plane passes right through; everything in front of it is imagined removedThe internal detail runs the whole way through and hidden lines would be unreadable
Half sectionOne quarter of the object is removed, so half the view is a section and half is an ordinary outside viewThe part is symmetrical — one drawing then shows both the outside and the inside
Auxiliary viewAn extra view projected square-on to a sloping face, on a plane parallel to that faceA face is not parallel to any of the three principal planes, so it appears foreshortened in every normal view — the auxiliary view gives its true shape and size
Two hatching conventions

Hatching runs at 45°, evenly spaced, and is thin. Where two different parts are cut in the same assembly section, their hatching is drawn at different angles or different spacings, so the reader can see where one part ends and the next begins. And some parts are never hatched even when the plane passes along them — shafts, bolts, nuts, keys, pins, ribs and webs — because hatching them would suggest they had been cut lengthways when the drawing is clearer showing them whole.

Unit 2 · Topic 1PictorialIsometric · Oblique · Perspective

Pictorial and presentation drawing

Orthographic views are for building. Pictorial drawings show the whole object in one image — for explaining, selling and assembling. Each of the four is right for a different job, and choosing the wrong one is a mark lost.

3.1Isometric, and what happens to circles

Isometric has three axes and only three: one truly vertical, and two at 30° to the horizontal. In isometric drawing all three axes are measured full size, so an isometric drawing can be scaled along its axes — which is why it is the engineer's pictorial. The price is that nothing gets smaller with distance, so a long object can look faintly wrong.

The consequence students lose marks on is circles. In isometric no face is square-on to the viewer, so every circle is drawn as an ellipse — and the ellipse has a fixed shape and a fixed orientation.

horizontal reference line 30° 30° Top face a square, drawn as a rhombus Vertical edges stay truly vertical The circle on the top face is drawn as an ELLIPSE Major axis — horizontal here always at right angles to the axis of the hole or cylinder Minor axis — vertical here it lies along the hole's axis minor ÷ major = 0.58 in any isometric In isometric DRAWING all three axes are measured full size, so the 0.58 : 1 ellipse ratio holds whatever the size of the circle.
Figure 3.1 — the isometric ellipseThe square top face is drawn as a rhombus, so the circle inscribed in it is drawn as an ellipse touching the midpoints of the four rhombus edges. Two facts are examinable. First, the major axis is always at right angles to the axis of the hole or cylinder — here the hole is drilled straight down, so the major axis is horizontal. Second, the ellipse's shape is fixed: the minor axis is 1 ÷ √3 ≈ 0.58 of the major axis, on every isometric ellipse, on every face.

3.2Oblique and perspective

 IsometricCavalier obliqueCabinet obliquePerspective
How it is set outTwo axes at 30°, verticals verticalFront face square-on and true shape; depth back at an angle (often 45°) at full lengthFront face square-on and true shape; depth back at an angle at half lengthFront face square-on (one point) or turned (two point); receding edges converge on vanishing points
Can you measure it?Yes, along all three axesYes, on all three — but it looks stretchedFront face yes; depth is halved deliberatelyNo — sizes shrink with distance
Circles on the front faceEllipses — no face is square-onTrue circlesTrue circlesTrue circles only if the face is parallel to the picture plane
Best forEngineering pictorials and assembly instructionsQuick sketching where measured depth matters more than looksObjects with one complicated face — a dial, a wheel, a control panelPresentation: interiors, buildings, product renders
  • One-point perspective: the object's front face is parallel to the picture plane, so it stays true shape, and every edge running away from you converges on a single vanishing point on the horizon line. Use it for a corridor, a room interior, a street looked straight along.
  • Two-point perspective: the object is turned so no face is parallel to the picture plane. Vertical edges stay vertical, but the two sets of horizontal edges converge on two vanishing points, both on the horizon. Use it for a building corner or a product seen from a natural angle.
  • The horizon line is the viewer's eye level. Put it above the object and you look down on it; put it below and you look up at it. Moving that one line changes the character of the whole drawing.
  • Perspective is the only one of these that matches what a camera sees, and the only one you must never take a size from.

3.3Exploded assembly drawings

12345 Hexagon head bolt Plain washer Upper plate Lower plate Hexagon nut Assembly axis the line the parts separate along Each numbered circle is a BALLOON — it ties the part in the drawing to its row in the parts list below.
Figure 3.2 — an exploded assemblyThe parts are pulled apart along their assembly axis, in the order they go together, so the drawing itself shows the assembly sequence. Each part carries a balloon — a circle with an item number on a leader — and every balloon has a matching row in the parts list. The drawing then needs no part names on it at all, which keeps it readable and means the same drawing works in any language.
ItemPartQtyMaterial / specification
1Hexagon head bolt1M8 × 40, zinc plated
2Plain washer1M8, zinc plated
3Upper plate1Mild steel, 6 thick
4Lower plate1Mild steel, 6 thick
5Hexagon nut1M8, zinc plated
The circle test, in one question

Ask: is the face square-on to the viewer? If yes, a circle on it is drawn as a circle. If no, it is drawn as an ellipse. That single test explains why a wheel is easy in oblique (put the wheel on the square-on front face) and awkward in isometric (no face is square-on, so every circle is an ellipse), and why perspective keeps circles true only on faces parallel to the picture plane.

Unit 2 · Topic 2CAD · CAMParametric modelling

CAD and digital documentation

Every convention in Units 1 and 2 still applies in CAD — the software just enforces them. What CAD adds is that the model itself becomes the master: the views, the parts list and the machine code are all generated from it, so they cannot disagree.

4.12D CAD and 3D parametric modelling

 2D CAD3D parametric CAD
What you makeFlat views — lines, arcs, hatching and text on a sheetA solid model with real volume, mass and surface area
ViewsYou draw each view yourself, and must keep them consistentViews are generated from the model, so they cannot disagree with each other
Changing a sizeRedraw every view the change affectsChange the dimension once; the model, every view and the parts list all update
What it carriesGeometry onlyGeometry plus the feature history — the sequence of sketches and operations that built it
Typical useFloor plans, laser and CNC-router profiles, schematicsParts, assemblies, 3D printing, machining, simulation

4.2The parametric workflow

  1. Choose a plane or a flat face to sketch on — front, top or right, or a face of what you have already built.
  2. Sketch the profile roughly. Do not chase accuracy here; get the shape right and get the ends of lines actually joined.
  3. Apply geometric constraints — horizontal, vertical, parallel, perpendicular, tangent, equal, concentric, coincident, symmetric. These say what must stay true no matter what size the part becomes.
  4. Apply dimensions until the sketch is fully defined: every degree of freedom removed, so no line can be dragged out of shape.
  5. Extrude or revolve the closed profile into a solid.
  6. Add features on the new solid: further extrusions and cuts, holes, fillets, chamfers, patterns.
  7. Assemble the parts, using mates or joints — coincident faces, concentric holes, distance and angle — to say how they locate against each other.
  8. Generate the drawing: place the views, add the section and auxiliary views you need, dimension them, balloon the assembly and let the parts list build itself.
Why constraints matter far more than they look

An under-constrained sketch is a rubber band: drag one line and the whole shape distorts, and the next person to open the file has no idea what was meant to stay fixed. A fully defined sketch records your design intent — so when the width goes from 60 to 80, the holes stay centred, the walls stay parallel and the fillets stay equal, instead of drifting. Most CAD packages colour a fully defined sketch differently precisely because it matters this much. If an exam asks “why constrain?”, the two words that earn the mark are design intent.

4.3File formats

FormatWhat it holdsWhen it is used
Native (.dwg, .sldprt, .f3d, .ipt)The full model with its sketches, constraints and feature historyWhile you are still designing, in that one program — keep it, because it is the only version you can properly edit
DXF2D geometry only — the flat profile, no solidSending a shape to a laser cutter, plasma cutter or CNC router
DWGAutoCAD's drawing format; widely read as an exchange format for 2D workSending drawings to a client or contractor who works in 2D
STEP (.stp) and IGESNeutral 3D solid geometry, with the feature history stripped outSending a 3D part to someone running different CAD software
STLThe surface only, approximated as thousands of triangles — no exact curves and no history3D printing: it is the slicer's input
PDFA fixed picture of the drawing sheetViewing, quoting, checking and printing — never for machining

4.4From the model to a real part

  • CAD → CAM → G-code → machine. CAM software plans the tool paths from the model — which cutter, what depth of cut, what feed and speed, in what order — then posts them out as G-code, the numbered instruction list the CNC machine actually runs.
  • CNC machining is subtractive: it starts with a block or a bar and cuts material away. A router, mill or lathe follows the tool path exactly, as many times as you like.
  • 3D printing is additive: a slicer cuts the STL into horizontal layers and writes G-code that builds the part up one layer at a time. Layer height, infill, wall count and support are all decided in the slicer, not in the CAD model.
  • Digital documentation is more than the drawing: a released job carries the model, the drawing sheets, the parts list, the revision history and the file the machine was actually run from. The revision letter on the sheet is what tells a workshop it has the current version — and an uncontrolled printout is how the wrong revision gets made.
  • The machine does exactly what the file says. A wrong dimension in CAD becomes a wrong part in metal, which is why the conventions in Units 1 and 2 still decide whether the job succeeds.
Start hereYear 11 · AppliedIndustrial Technology Skills · Units 1–2

Metal, to the hundredth of a millimetre.

Senior Industrial Technology Skills is where a drawing becomes a fabricated object. The practical marks come from the workshop; the written marks come from four things — assessing risk properly, knowing what a material will do and measuring it, selecting the right process and speed, and selecting the right way to join and protect the finished job.

The mapTwo units, four topics

  1. Unit 1, Topic 1 — Safety and workplace practice. Duty of care, risk assessment with a risk matrix, the hierarchy of controls in order, SWMS, guarding and emergency stops, PPE selection, hazardous substances and manual handling.
  2. Unit 1, Topic 2 — Engineering materials and measurement. Ferrous and non-ferrous metals and their alloys, mechanical properties, heat treatment, and precision measurement to 0.01 mm with tolerances, limits and fits.
  3. Unit 2, Topic 1 — Fabrication processes. Marking out on metal, sawing with the three-tooth rule, filing, drilling speeds, threading with taps and dies, turning and milling, and sheet-metal bending and riveting.
  4. Unit 2, Topic 2 — Joining and finishing. Mechanical fasteners, the soldering–brazing–welding ladder around 450 °C, welding processes and defects, and surface protection against corrosion.
How this subject is marked

Applied questions almost always ask you to select and justify: which control, which material, which blade, which speed, which joining process, which coating. A bare name earns almost nothing. Name it, then give the reason in the same sentence — “a 32 TPI blade, because a 1 mm tube wall needs at least three teeth in the cut at all times or the teeth straddle the wall and strip.”

Unit 1 · Topic 1WHS Act 2011Duty · Risk · Controls

Safety and workplace practice

Every machine in a metal workshop can do in a quarter of a second what a surgeon cannot undo in six hours. Senior safety is not a rule list to memorise — it is a process you can apply to a machine you have never seen.

1.1Duty of care

Under the Work Health and Safety Act 2011 the primary duty falls on the PCBU — the person conducting a business or undertaking — who must ensure, so far as is reasonably practicable, the health and safety of workers and of anyone else affected by the work. Officers must exercise due diligence. Workers must take reasonable care for their own safety and for others, comply with reasonable instruction, and co-operate with the workplace's policies. Visitors owe the same care within their power.

“Reasonably practicable” is decided by weighing, together: the likelihood of harm, the degree of harm, what is known about the hazard and the ways of removing it, the availability and suitability of controls, and last, the cost — which counts against acting only where it is grossly disproportionate to the risk.

1.2Risk assessment and the risk matrix

Risk management runs in four steps, always in this order: identify the hazards, assess the risks, control the risks, review the controls. Assessing means asking two questions at once — how likely is harm, and how serious would it be? A risk matrix is the tool that combines them into a single rating, so that limited time and money go to the worst risks first.

CONSEQUENCE — how badly would it hurt? LIKELIHOOD InsignificantMinorModerateMajorSevere Almost certainLikelyPossibleUnlikelyRare ModerateHighHighExtremeExtreme ModerateModerateHighHighExtreme LowModerateHighHighExtreme LowLowModerateHighExtreme LowLowModerateHighHigh An example matrix. The wording of the bands varies between workplaces, but the shape never does: the rating rises as the consequence rises, and as the likelihood rises. The rating decides how urgently a risk must be controlled — an Extreme rating means the job does not start until the control is in place. Grinding without a guard is Likely × Major: rated High, and it is controlled before anyone presses start.
Figure 1.1 — a risk matrixThe matrix turns two judgements into one number that can be acted on and compared. Read it as a pair of coordinates: a hazard that is Likely to occur and would cause Major harm sits at High. Note what the matrix does not do — it does not choose the control. That is the next step, and it always starts at the top of the hierarchy.

1.3The hierarchy of controls in the metal workshop

#ControlWhat it does to the hazardIn the metal workshop
1EliminationThe hazard no longer existsHave the supplier laser-cut the sheet, so nobody uses the guillotine at all
2SubstitutionSomething less hazardous does the same jobCut bar on a cold saw instead of an angle grinder — far less noise, and no shower of hot sparks
3IsolationA barrier or distance separates people from itWeld in a screened bay, so the arc flash cannot reach anyone walking past
4EngineeringHardware removes the exposureChuck guard, interlocked door, fume extraction at the arc, emergency stop within reach
5AdministrativeChanges what people doThe SWMS, induction and machine sign-off, signage, rostering noisy jobs
6PPEA barrier on one person, while wornSafety glasses, welding helmet of the correct shade, earmuffs, P2 respirator, leather gloves and boots
The sentence that answers half the safety paper

PPE is last because it does nothing to the hazard. The grinder still throws sparks, the arc still emits ultraviolet, the fume is still in the air — PPE just puts a barrier in front of one person, and only while it is worn, undamaged and correctly fitted. Every level above it protects everyone in the room, all the time, without anyone having to remember anything.

  • A SWMS sets out, for one activity: the task and its high-risk elements, the hazards, the controls chosen from the hierarchy, and how those controls will be implemented, monitored and reviewed. It is written before the work starts and revised when the job changes.
  • Guards stay on, and guards that must come off for setting are interlocked. Isolate, lock and tag before changing a wheel, a blade or a chuck — the person who fits the lock is the only person who removes it.
  • Clamp the work. A drill that grabs turns an unclamped plate into a spinning blade with your hand still on it. Machine vice or clamp, every time.
  • Swarf is razor wire, hot. Clear it with a brush after the machine has stopped — never with fingers, never while it turns.
  • No gloves at rotating machinery, no loose clothing, no rings or lanyards, long hair tied and covered. Gloves are for handling sharp sheet and hot work, never for a lathe or a drill.
  • Noise: the Australian exposure standard is an eight-hour equivalent of 85 dB(A), with a peak that must never exceed 140 dB(C). Grinders, guillotines and drop saws all sit above it, and the damage is cumulative, painless and permanent.
  • Hazardous substances: every chemical — degreaser, cutting fluid, flux, paint, thinners — needs a current Safety Data Sheet kept readily accessible, giving the hazards, the ventilation and PPE required, first aid, firefighting, and safe storage and disposal. Containers must be labelled, including anything decanted.
  • Manual handling: assess the load, the task, the workplace and the person. Steel is dense — a 3 m length of 50 mm bar is a two-person or mechanical lift, and a trolley or a hoist is an engineering control, not a convenience.
Unit 1 · Topic 2MaterialsAlloys · Heat treatment · Measurement

Engineering materials and measurement

In timber you can plane a millimetre away. In metal a part is either within tolerance or it is scrap — so this topic runs from what a metal is, through what heat can do to it, to measuring it to a hundredth of a millimetre.

2.1Ferrous and non-ferrous

The first division in metals is simple: ferrous metals contain iron; non-ferrous metals do not. It matters because iron rusts and is magnetic, and most non-ferrous metals do neither.

MetalClassMade ofProperties that decide its useTypical use
Mild steelFerrousIron with about 0.1–0.3% carbonStrong, tough, ductile, cheap, easy to weld and machine — but it rusts, and it cannot be hardened by quenching because it has too little carbonThe workshop default: frames, brackets, gates, trailers
Medium and high carbon steelFerrousIron with roughly 0.3–1.5% carbonThe higher the carbon, the harder and stronger it can be made — and the more brittle and the harder to weldSprings, chisels, punches, cutting tools
Cast ironFerrousIron with about 2–4% carbonVery hard in compression, excellent at damping vibration, easily cast to shape — but brittle, and it cracks rather than bendsMachine beds and bases, engine blocks, vices
Stainless steelFerrousSteel with at least about 11% chromiumThe chromium forms a thin, invisible, self-repairing oxide film on the surface, so it resists corrosion; tougher to machine and dearerFood equipment, marine fittings, chemical and medical work
AluminiumNon-ferrousAluminium, usually alloyed with silicon, magnesium or copperAbout one third the density of steel, corrosion-resistant through its own oxide layer, an excellent conductor — but softer, and it needs different welding techniqueFrames, extrusions, boats, heat sinks, aircraft
CopperNon-ferrousCopperThe best common conductor of heat and electricity, very ductile, easily solderedWiring, plumbing, heat exchangers, roofing
BrassNon-ferrousCopper + zincMachines beautifully, corrosion-resistant, non-sparking, good lookingFittings, valves, decorative and marine hardware
BronzeNon-ferrousCopper + tinHard, corrosion-resistant and low friction against steelBearings, bushes, marine propellers
The properties an Applied answer names

Strength (resisting load), hardness (resisting scratching and indentation), toughness (absorbing shock without fracturing), ductility (drawing into wire without breaking), malleability (hammering or rolling into sheet), brittleness (fracturing with little deformation), elasticity (returning to shape), conductivity, density and corrosion resistance. Notice that hard and tough are opposites in practice — a file is hard and will shatter; a mild-steel bracket is tough and will bend. That trade-off is the whole reason heat treatment exists.

2.2Heat treatment

ProcessWhat you doWhat it achievesWhy you would
AnnealingHeat to the critical temperature, hold, then cool as slowly as possible — usually in the furnace or in sandThe softest, most ductile condition, with internal stresses relievedTo make hardened steel machinable again, or to soften work-hardened metal so it can be bent further without cracking
NormalisingHeat above the critical temperature, then cool in still airA refined, uniform grain structure; slightly harder and stronger than annealedTo remove the effects of forging, welding or heavy machining before a part goes into service
HardeningHeat to the critical temperature, then quench rapidly in water, oil or brineVery hard and wear-resistant — and brittle, with big internal stressesTo make a cutting edge or a wear surface. It only works on steel with enough carbon, which is why mild steel cannot be hardened this way
TemperingReheat the hardened steel to a lower temperature, then coolGives up a little hardness to buy back toughness and relieve the quenching stressesAlways, after hardening. Untempered hardened steel is too brittle to trust — a cold chisel would shatter at the first blow
Case hardeningAdd carbon to the surface of a low-carbon steel, then harden itA hard, wear-resistant skin over a core that stays toughWhen a part must resist wear on the outside but survive shock — gears, shafts, pins
Hardened case carbon added to the skin, then hardened by quenching hard and wear-resistant — but brittle on its own Tough core still low-carbon steel, so it stays tough and absorbs shock without cracking through Drawn as a section — the bar is cut through, so the depth of the hardened skin can be seen.
Figure 2.1 — case hardeningThe point of case hardening is that it gives you both halves of a trade-off that is normally either/or. A gear tooth needs a hard surface so it does not wear, and a tough body so it does not snap when the load comes on suddenly. Hardening the whole part would give you the first and destroy the second.

2.3Precision measurement

InstrumentReads toHow you read it
Steel ruleAbout 0.5 mmStand the rule on edge so the graduations touch the work, and sight straight down the line — looking from an angle introduces parallax error. Measure from a graduation, never from the worn end.
Vernier caliper0.02 mm on a 50-division metric scaleRead the whole millimetres on the main scale up to the vernier's zero. Then find the one vernier line that coincides exactly with a main-scale line, and multiply its number by 0.02. Add them: main scale 31 with the 12th line coinciding gives 31 + 0.24 = 31.24 mm.
Digital caliper0.01 mmSame jaws, an electronic scale. It can be zeroed anywhere, which makes comparison measurements easy — but it needs a battery, and it lies silently when the jaws are dirty.
Micrometer0.01 mm, and to 0.001 mm with a vernier on the sleeveWhole and half millimetres on the sleeve, plus the thimble division × 0.01 mm. Always close it on the ratchet stop so the force is the same every time.
Anvil — the fixed face the work sits against it Spindle screws in and out to close the gap Locking lever holds the reading while you look Sleeve (barrel) whole millimetres above the datum line, half below it Thimble 50 divisions of 0.01 mm Ratchet stop gives the same gentle closing force every time Frame carries the anvil and the barrel Reading = whole and half millimetres on the sleeve, plus the thimble division × 0.01 mm. Sleeve 12.5 with thimble 34 reads 12.84 mm.
Figure 2.2 — the external micrometerThe spindle screw has a 0.5 mm pitch, so one full turn advances it half a millimetre — and the thimble is divided into 50, which is why one thimble division is 0.5 ÷ 50 = 0.01 mm. The ratchet stop is not a convenience: it applies the same measuring force every time, so two people measuring the same shaft get the same number. Squeeze a micrometer by its thimble and you will read small.

2.4Tolerances, limits and fits

  • A tolerance is the permitted variation from a stated size. 25 ± 0.05 mm means the limits are 24.95 and 25.05 mm, a tolerance band 0.10 mm wide. Anything inside passes; anything outside is scrap or rework.
  • Tolerances cost money: tighter bands need better machines, slower work and more inspection, and they produce more rejects. A designer specifies a tight tolerance only where the fit actually matters, and opens it up everywhere else.
  • Where a shaft goes into a hole, the two tolerance bands together decide the fit: clearance fit — the shaft is always smaller than the hole, so the parts always go together and can slide or rotate; transition fit — the bands overlap, so the assembly may be a slight clearance or a slight interference, giving accurate location; interference fit — the shaft is always larger, so the parts must be pressed together, or the hole heated and the shaft chilled.
  • Work the extremes to prove a fit. For a hole of 20.00–20.03 mm and a shaft of 19.96–19.98 mm: the maximum clearance is the largest hole minus the smallest shaft, 20.03 − 19.96 = 0.07 mm, and the minimum clearance is 20.00 − 19.98 = 0.02 mm. Both are positive, so it is a clearance fit under every combination.
  • Measure from a single datum, not from the last feature you cut. Chained measurements add each error to the last, and by the sixth hole nothing lines up.
  • Allow for the kerf. Four pieces from one bar means three cuts, and three cuts at a 2 mm kerf remove 6 mm of bar.
Unit 2 · Topic 1ProcessesSawing · Drilling · Forming

Fabrication processes

Every cutting tool in the workshop obeys the same two rules: match the tooth or the speed to the material, and let the tool cut rather than forcing it. Break either and you get a stripped blade, a burnt drill or a hospital visit.

3.1Marking out on metal

Bare steel is shiny, so a scribed line disappears into the reflections. Marking-out fluid — layout blue, brushed or sprayed on and dry in seconds — gives a dark matt coating that the scriber cuts through, so the line appears as a bright streak against the blue. The sequence is fixed: clean and de-grease → coat with marking-out fluid → set the rule or square from the datum edge → scribe the lines → centre punch every hole centre where the lines cross → check every dimension before a single cut is made. Marking out is done from a flat reference surface, never freehand on the bench.

3.2Sawing: the three-tooth rule

COARSE BLADE ON A THIN WALL — wrong Hacksaw blade Only ONE tooth is in the cut the teeth straddle the wall, snag on the far edge and strip off the blade The wall being cut a thin section: 1 mm tube wall, or thin sheet FINE BLADE ON THE SAME WALL — right FOUR teeth are in the cut the rule: at least THREE teeth must be in the cut at all times, or the teeth strip Fewer teeth per inch means bigger gullets for thick, soft material. More teeth per inch keeps a thin wall supported all the way through.
Figure 3.1 — the three-tooth ruleThe blade is fitted with its teeth pointing forward, away from the handle, because a hacksaw cuts on the push stroke, and it is tensioned so it cannot flex and wander. The number that decides which blade you fit is TPI — teeth per inch — and the rule behind every choice is that at least three teeth must be in the cut at all times. With fewer, the teeth straddle the section, catch on the far edge and are torn off the blade.
TPIUse it onWhy
14Thick, soft sections — aluminium, brass, heavy mild-steel barBig gullets between big teeth clear large soft chips instead of clogging
18General-purpose mild steelThe default blade in a school workshop
24Thinner sections, angle iron, thicker tubeKeeps three or more teeth in contact as the wall thickness drops
32Thin sheet and small-diameter tubeOnly very fine teeth keep three in the cut on a 1 mm wall
  • Long, steady strokes using the whole blade, about one a second, pressure on the push and released on the return — dragging teeth backwards under load only blunts them.
  • Clamp the work in a vice close to the cut or it will chatter, and support the offcut as you finish so it cannot pinch the blade.
  • A new blade will jam in a part-sawn cut, because the old blade's kerf is wider than the new blade's set. Start a fresh cut.
  • Filing: single cut for finishing, double cut for fast shaping; grades run rough → bastard → second cut → smooth → dead smooth, worked down like sanding grits. Cross filing brings a surface to size; draw filing gives the flat bright finishing cut. Clear pinning with a file card, and never use a file without a handle over its tang.

3.3Drilling, speeds and threads

The rule to remember is that the bigger the drill or the harder the material, the slower the spindle speed. A large drill's outer cutting edge travels much further per revolution than a small one's, and the edge burns if it moves through the metal too fast. A blued, blunt drill was run too fast, pushed too hard, or run dry.

The spindle speed formula

N = 1000 × Vc ÷ (π × D) — where N is the spindle speed in rpm, Vc is the recommended cutting speed in metres per minute for that tool-and-material pair, and D is the diameter in millimetres. For a high-speed-steel drill in mild steel, Vc is around 30 m/min. So a 10 mm drill needs N = 30 000 ÷ (π × 10) = 30 000 ÷ 31.42 = 955 rpm. Double the diameter to 20 mm and the answer halves to about 477 rpm — which is exactly the “bigger drill, slower speed” rule, written as arithmetic.

  • Centre punch first, always, or the drill's chisel edge skates and the hole ends up somewhere else. Clamp the work — sheet metal is the worst offender, because the drill grabs as it breaks through. Ease off at breakthrough, which is the moment it grabs.
  • Pilot holes for large diameters: the big drill's chisel edge does not cut well, and a pilot lets its cutting lips do the work. Cutting fluid on steel to cool the edge and flush the swarf; aluminium dry or with kerosene; cast iron dry.
  • Countersinking cuts the cone that lets a countersunk head finish flush. Run it slowly or it chatters and leaves a fluted edge.
  • Taps and dies: a tap cuts an internal thread, a die cuts an external one. The hole is drilled to the tap drill size, and for a standard metric thread the formula is diameter − pitch: M6 × 1.0 gives 5.0 mm; M10 × 1.5 gives 8.5 mm; M8 × 1.25 gives 6.75 mm, for which the nearest stocked drill is 6.8 mm. Drill it too large and there is no metal for the thread to be cut in; too small and the tap jams and snaps, and a broken tap is hardened steel that cannot be drilled out.
  • Taps come as a set of three, used in order: taper (a long lead-in that starts the thread square), second or intermediate, then plug or bottoming, which finishes the thread to the bottom of a blind hole. Turn half a turn forward and a quarter turn back to break the swarf, keep the tap square, and use cutting fluid.

3.4Turning, milling and sheet metal

ProcessWhat movesWhat it produces
Turning (centre lathe)The work rotates in the chuck; a single-point tool is fed along and across itRound work: parallel turning to a diameter, facing an end square, drilling on centre, boring, knurling, parting off and screw cutting
MillingThe cutter rotates; the work is fed past it on a table that moves in three axesFlat faces, steps, slots, keyways and pockets on square work — the complement of the lathe
Shearing / guillotiningA moving blade passes a fixed oneStraight cuts in sheet, fast and with no swarf — but it cannot cut an internal shape, and it slightly distorts the cut edge
Folding / bendingSheet clamped along a line and folded over a nose barBoxes, trays, flanges and stiffening returns — a fold makes thin sheet far more rigid without adding material

Bending sheet metal needs one idea that catches everybody: a bend does not simply add the two leg lengths together. As the sheet bends, the outside stretches and the inside compresses, and only a line inside the material — the neutral axis — keeps its original length. The bend allowance is the length of material actually consumed in the bend, measured along that neutral axis. Cut a blank to the sum of the outside legs and the finished part comes out oversize; the developed (flat) length is always the legs plus the bend allowance, and the bend allowance depends on the material thickness, the bend radius and the angle.

  • Bend across the grain of rolled sheet where you can — bending along it invites cracking on the outside of the bend.
  • A tighter radius stretches the outside fibres more, so every material has a minimum bend radius below which it splits.
  • Riveting is the classic sheet-metal joint: a blind (pop) rivet when only one side of the joint can be reached, a solid rivet hammered or pressed over where the joint is structural and must not vibrate loose.
  • Deburr every sheared or drilled edge. A sheet-metal burr is sharp enough to open a hand and it stops parts sitting flat.
Unit 2 · Topic 2FabricationFasteners · Heat · Coatings

Joining and finishing

Two pieces of metal can be held together by a fastener through them, by heat and a filler between them, or by adhesive. Then comes the question everybody forgets until the job rusts: what protects the steel afterwards, and what happens when that protection is scratched?

4.1Mechanical fasteners

FastenerHow it worksPermanent?Specified when…
Blind (pop) rivetA hollow rivet goes through both parts; the gun pulls a mandrel that swells the far end, then snaps it offPermanent — removal means drilling it outYou can only reach one side of the joint — a box, a duct, a closed tube. This is the answer markers look for.
Solid rivetHammered or pressed over to form a second headPermanentStructural work, and joints that must not vibrate loose
Bolt, nut and washerClamps the parts between the head and the nutRemovableAnything that must come apart for service, or carry a real load. The plain washer spreads the clamping force so the nut cannot pull through thin material.
Spring washer or nyloc nutKeeps tension (or friction) in the joint after tighteningRemovableVibration is present — every machine and vehicle. Without them the nut works loose.
Machine screw into a tapped holeThreads into a thread cut in the part itselfRemovableOnly one side is accessible, but the part is thick enough to tap
Self-tapping screwCuts its own thread as it drives into a pilot hole in sheetRemovable, but the thread wears after a few cyclesThin sheet, light fixings, fast assembly

Holes for bolts are drilled as clearance holes, slightly larger than the bolt, so parts can be lined up and the bolt is not bent into place. And a bolted joint works by clamping friction between the parts, not by the bolt acting as a pin — which is why correct tightening matters as much as the right bolt.

4.2Thermal joining: soldering, brazing and welding

All three use heat and all three make a joint, but they are separated by one question, and it is the question an exam will ask: does the parent metal melt?

Temperature (°C) 040080012001600 450 °C the boundary between soldering and brazing SOFT SOLDERING — filler melts BELOW 450 °C the parent metal does NOT melt; molten solder is drawn in by capillary action weakest of the three — it seals and conducts more than it holds BRAZING — filler melts ABOVE 450 °C typically 600–900 °C; the parent metal is heated but stays SOLID strong, and it can join dissimilar metals such as steel to brass FUSION WELDING — steel melts at about 1500 °C the parent metal MELTS and fuses; the filler joins the same pool strongest — a good weld can match the parent metal itself The one question that separates all three: does the PARENT metal melt? Soldering and brazing — no. Welding — yes.
Figure 4.1 — the 450 °C boundaryThe line between soldering and brazing is defined by the melting point of the filler, not by the equipment or the look of the joint: below 450 °C it is soldering, above 450 °C it is brazing. In both the parent metal only gets hot — it never melts, and the filler is drawn into the joint by capillary action. Welding is categorically different: the parent metal itself melts and the two pieces fuse into one, which is why a good weld can be as strong as the metal beside it, and why welding distorts a part when soldering does not.
  • MIG (metal inert gas) is the common school welder because it is the easiest to learn: a motor feeds continuous wire through the torch as both electrode and filler, and a shielding gas keeps oxygen away from the molten pool. TIG uses a non-consumable tungsten electrode with filler added by hand — slower, but the most controllable and the cleanest, and the choice for thin material, stainless and aluminium. Manual metal arc (stick) uses a flux-coated electrode whose flux burns to make its own shielding gas and a protective slag — rugged, portable, and it works outdoors where wind would blow a shielding gas away.
  • Flux in soldering and brazing does the same job the shielding gas does in MIG: it removes the surface oxide and stops it re-forming, so the filler can wet the metal. Nothing sticks to an oxidised surface.
  • The joint must be clean and correctly fitted before heat is applied. Paint, rust, oil and galvanising all ruin the joint — and burning them produces fume.
  • Welding hazards: the arc's ultraviolet burns eyes (“arc eye”) and skin, so a helmet of the correct shade, a screened bay and covered skin are all required; welding fume is a recognised carcinogen and needs extraction at the source; and the work stays hot long after it stops glowing.
Weld defectWhat it looks likeUsual cause
PorosityGas bubbles trapped in the weld metal, seen as holes on a cut or an X-rayLost or contaminated shielding gas, a draught blowing it away, or a dirty, damp, painted or oily surface
UndercutA groove melted into the parent metal along the edge of the weld and left unfilledToo much current or too fast a travel speed. It leaves a thinner section and a stress raiser where cracks start.
Lack of fusion / incomplete penetrationThe weld metal sits on the joint without fusing to it, or does not reach the rootToo little heat, too fast a travel, or a joint preparation with no gap or bevel
Excess spatterBalls of metal thrown onto the surface around the weldCurrent or voltage set wrong, or a contaminated surface. It is cosmetic, but it hides other defects and has to be chipped off.
DistortionThe part pulls out of shape or out of square as it coolsUneven heating and cooling shrinking the weld. Controlled by tacking, clamping in a jig, balancing the welds either side, and using shorter runs.

4.3Corrosion and surface protection

Steel rusts because iron, oxygen and water react to form hydrated iron oxide. Rust is the problem and the mechanism: it is porous and it flakes off, so it never seals the surface, and fresh metal is exposed to corrode again. Corrosion is also faster where two dissimilar metals are in contact with moisture between them — the more reactive of the two corrodes preferentially, which is called galvanic corrosion, and which is also exactly what galvanising puts to work on purpose.

TreatmentHow it protectsWhat happens at a scratchTypical use
Primer + topcoat paintBarrier only — the primer grips the steel and inhibits corrosion; the topcoat seals and coloursThe exposed steel rusts immediately, and the rust creeps along under the film, lifting more of itIndoor and light outdoor steel; anywhere colour matters
Hot-dip galvanisingA barrier plus sacrificial protection: zinc is more reactive than iron, so the zinc corrodes in the steel's placeThe bare steel keeps being protected until the surrounding zinc is used upOutdoor structures, fencing, trailers, roof sheet, marine-adjacent work
Powder coatingA thick, tough, electrostatically applied and oven-baked polymer barrierBarrier only — a deep scratch will rust, so quality work is galvanised first and then powder coatedFurniture, gates, machine covers, anything wanting a hard coloured finish
Anodising (aluminium only)Thickens aluminium's own oxide layer electrolytically, and it can be dyedThe oxide is part of the metal, not a coating, so it does not peel — but a deep gouge exposes bare aluminiumArchitectural extrusions, window frames, consumer products
Oil, grease or wax filmA temporary barrier keeping water and oxygen offWipes off — it must be renewedMachine beds, tools, short-term storage of bright steel
Why zinc keeps working after the coating is broken

Zinc is more reactive than iron. Where the coating is scratched and moisture bridges the two metals, the zinc corrodes preferentially and the steel does not — the zinc is sacrificed to protect it, and it keeps protecting the bare strip until the surrounding zinc is consumed. Paint cannot do this, because paint is not a metal and takes no part in the reaction; it protects only while it is unbroken. That single comparison — barrier versus sacrificial — is the most-asked question in this topic.

Never weld or grind galvanised steel without extraction

Heating zinc drives off zinc oxide fume, which causes metal fume fever — hours of shivering, aching and fever after the job. Correct practice is to grind the zinc back from the weld area first, work with extraction at the source and good ventilation, and re-coat the bare area afterwards with a zinc-rich paint so the sacrificial protection is restored.

Start hereYear 7 ScienceBiological sciences

Every living thing has a place.

Four units: what makes something alive and how scientists sort the living world into groups, how to use a key to name what you find, how energy moves from grass to eagle, and how ecosystems hold together — or fall apart when people change them. Built from the Year 7 Biological sciences descriptions.

The mapFour units

  1. Sorting the living world — the seven signs of life, the ladder from kingdom to species, and the big animal groups.
  2. Dichotomous keys — reading and building a yes/no key, and why every species has a two-word Latin name.
  3. Food chains and food webs — producers, consumers, decomposers, and which way the arrows point.
  4. Ecosystems and people — habitats, living and non-living factors, introduced species, and caring for Country with fire.
What Year 7 Biology is actually assessed on

Classification — living things are grouped by the features they share, and a dichotomous key lets anyone identify an organism step by step. Ecosystems — energy flows from producers through food chains and food webs, and changing one part of the web, including through human activity, affects the rest.

Unit 1ClassificationAlive · Kingdoms · Classes

Sorting the living world

About two million species have been named and millions more are waiting. Nobody could keep track of that without a system — so biologists sort living things into groups inside groups, from the giant kingdoms down to a single species.

1.1Alive, or not?

Fire moves, grows and "eats" wood, but it is not alive. A seed lies still for years, but it is. The test is not one thing but seven — a living thing does all of them. The initials spell MRS GREN.

ProcessWhat it meansExample
MovementMoving the whole body, or parts of itA sunflower head turns to follow the sun
RespirationReleasing energy from food inside cells (not breathing)A seed uses stored energy to sprout
SensitivityDetecting and responding to changeA snail pulls in its eye-stalks when touched
GrowthGetting bigger, or making more cellsA joey grows into an adult kangaroo
ReproductionMaking new individuals of the same kindA frog lays eggs in a pond
ExcretionGetting rid of waste the body makesPlants release oxygen and water through their leaves
NutritionTaking in or making foodA gum tree makes sugar from sunlight; a possum eats the leaves
The classic trap

Respiration is not breathing. Breathing moves air in and out; respiration is the chemical release of energy from food that happens in every living cell — in a tree, a mushroom and a bacterium, none of which have lungs.

1.2The ladder of groups

In the 1700s the Swedish naturalist Carl Linnaeus set up the system we still use: groups nested inside bigger groups. Going down the ladder, each group is smaller and its members share more features.

KINGDOM — Animalia PHYLUM — Chordata CLASS — Mammalia ORDER — Diprotodontia FAMILY — Macropodidae GENUS — Macropus SPECIES — Macropus rufus every animal, from sponges to whales animals with a backbone fur, and milk for their young two big front teeth on the lower jaw kangaroos and wallabies the big kangaroos only red kangaroos the red kangaroo — one kind of living thing whose members can breed together genus + species = the scientific name: Macropus rufus (italics, capital on the genus only) memory hook for the ladder: King Philip Came Over For Good Soup Each box sits inside the one above it: every species belongs to one genus, every genus to one family, and so on up to kingdom.
Figure 1.1 — the red kangaroo's addressReading from the outside in is like reading an address from country to house number. Two organisms in the same genus are close relatives; two that only share a kingdom are as different as a jellyfish and a wombat.

1.3The five kingdoms

KingdomHow they get foodMade ofExamples
AnimalsEat other living thingsMany cellsKangaroo, magpie, snail, coral
PlantsMake their own food from sunlightMany cellsEucalypt, wattle, grass, moss
FungiAbsorb food from dead or living materialMany cells (yeast: one)Mushroom, mould, yeast
ProtistsSome make food, some eatMostly one cellAmoeba, algae in a pond
BacteriaSome make food, most absorb itOne tiny cellSoil bacteria, the bacteria in yoghurt
Why a mushroom is not a plant

It looks rooted and it does not move, but a mushroom cannot make its own food — it has no green colour and absorbs what it needs from rotting wood or soil. Feeding is the feature that separates fungi from plants, and it is the feature exams ask about.

1.4Vertebrates and invertebrates

Within the animal kingdom, the first big split is a backbone. Animals with one are vertebrates — only about 5% of animal species. The other 95%, the invertebrates, have no backbone at all.

Vertebrate classSkinYoungBody temperatureAustralian example
MammalsFur or hairBorn alive (mostly), fed on milkWarm-bloodedKangaroo, dingo, platypus
BirdsFeathersHard-shelled eggsWarm-bloodedEmu, kookaburra, magpie
ReptilesDry scalesLeathery eggs, laid on landCold-bloodedCrocodile, goanna, blue-tongue lizard
AmphibiansMoist, no scalesJelly eggs in water; tadpolesCold-bloodedGreen tree frog, cane toad
FishWet scales; breathe with gillsEggs in water (mostly)Cold-bloodedBarramundi, Murray cod, shark
  • Insects — six legs, three body parts, usually wings: ants, beetles, butterflies. The biggest group of animals on Earth.
  • Arachnids — eight legs, two body parts, no wings: spiders, scorpions, ticks.
  • Crustaceans — hard shell, many jointed legs, mostly in water: crabs, prawns, yabbies.
  • Molluscs — soft body, often a shell: snails, oysters, octopus.
  • Worms — long soft body, no legs: earthworms.
  • The platypus lays eggs but has fur and feeds its young on milk — so it is a mammal. Classification goes by the set of shared features, not a single odd one.
Unit 2ClassificationKeys · Scientific names

Dichotomous keys: naming what you find

A dichotomous key is a chain of questions with exactly two answers each — dichotomous means "cut in two". Answer one question, follow the branch, answer the next, and you end up with a name. It is how a ranger identifies a frog, or a doctor a tick.

2.1Reading a key

YES NO YES NO YES NO YES NO 1. DOES IT HAVE FEATHERS? 2. DOES IT HAVE FUR? 3. DOES IT LAY EGGS? 4. DRY, SCALY SKIN? EMU PLATYPUS RED KANGAROO BLUE-TONGUE LIZARD GREEN TREE FROG Dromaius novaehollandiae Ornithorhynchus anatinus Macropus rufus Tiliqua scincoides Litoria caerulea Start at question 1 and follow one arrow per answer until you land on a name. Each box asks about one feature and allows exactly two answers.
Figure 2.1 — a key to five Australian animalsTry it: a creature with no feathers, fur, and a pouch instead of eggs. Question 1 → no → question 2 → yes → question 3 → no → red kangaroo. The same key is often printed as a numbered list (1a, 1b, 2a, 2b…) — same questions, no picture.

2.2Building your own key

  1. List the organisms and the features you can see or measure: legs, wings, shell, scales, number of body parts.
  2. Pick a feature that splits the group in two. "Does it have wings?" is a good first question if about half the group has them.
  3. Keep splitting each smaller group with a new feature until every branch ends at one organism.
  4. Test it on every organism. If two end up in the same place, you need one more question.
Questions that ruin a key

Anything that depends on opinion or on the moment: "Is it big?", "Is it scary?", "Is it moving?" Two people must get the same answer from the same organism, so use fixed, countable features — "Does it have six legs?" never changes.

2.3Scientific names

  • The same animal can have many common names: Macropus rufus is the red kangaroo, the red roo, the plains kangaroo, and has a different name in every language. It has exactly one scientific name, used by scientists in every country.
  • The name is two words — the genus, then the species. Two species in the same genus are close relatives: the eastern grey kangaroo is Macropus giganteus.
  • Writing rules: genus with a capital letter, species in lowercase, both in italics when typed and underlined when handwritten. Homo sapiens, never "homo Sapiens".
  • Linnaeus chose Latin because in the 1700s it was the shared language of scholars — and because it belongs to no country, it offends nobody.
Unit 3EcosystemsFood chains · Food webs

Food chains and food webs: following the energy

Every bite of energy in an ecosystem started as sunlight caught by a plant. A food chain traces that energy from one organism to the next; a food web shows all the chains tangled together, the way real bush actually works.

3.1The chain

  • A chain always starts with a producer — a plant or alga that makes its own food from sunlight. No producer, no chain.
  • Everything that eats is a consumer. Herbivores eat plants (kangaroo, koala). Carnivores eat animals (dingo, eagle). Omnivores eat both (magpie, emu, humans).
  • The first animal in the chain is the primary consumer, the next the secondary consumer, then the tertiary consumer. Each step is a trophic level — a feeding level.
  • Decomposers — fungi and bacteria — break down dead plants, animals and droppings, returning nutrients to the soil for the producers to use again. They are the recyclers that close the loop.
  • The arrow means "is eaten by". It points from the food to the eater, because that is the direction the energy travels. Grass → grasshopper → magpie: the grass does not eat the grasshopper.
The arrow question, every single year

Draw a food chain with the arrows backwards and the whole answer is wrong. Say it to yourself as you draw: the arrow shows where the energy goes — out of the thing eaten, into the thing eating.

3.2A food web

feeds feeds feeds feeds feeds feeds feeds feeds feeds feeds feeds feeds when it dies GRASS & SEEDS EUCALYPT LEAVES GRASSHOPPER KANGAROO KOALA FROG MAGPIE DINGO BROWN SNAKE WEDGE-TAILED EAGLE FUNGI & BACTERIA producer producer herbivore herbivore herbivore carnivore omnivore carnivore carnivore top carnivore decomposers Every arrow points from the food to the eater — the direction energy flows. Read "feeds" along the arrow: grass feeds the grasshopper.
Figure 3.1 — a grassland food webPull out any one chain and it reads like Section 3.1: grass → grasshopper → frog → brown snake → eagle. But the web shows what a chain hides: the magpie eats seeds and grasshoppers, the eagle takes kangaroo joeys and snakes. Most animals have more than one food, and that is what makes an ecosystem tough.

3.3Pull one thread

Because everything is connected, removing one species sends ripples through the web. Work it out step by step, and say which arrows are affected.

  1. The grasshoppers die out (say a dry year, or a new pesticide). The frogs and magpies lose a food source: fewer frogs, and magpies must rely on seeds. Fewer frogs means less food for snakes. Meanwhile, with no grasshoppers chewing it, the grass grows thicker.
  2. The dingoes are removed (as they were across much of farmland). Kangaroos lose a predator and their numbers climb. More kangaroos eat more grass, so there is less for the grasshoppers — the ripple goes down the web as well as up.
  3. The grass fails (drought, overgrazing). Every chain in the web starts there, so everything above it suffers — producers are the foundation.
Worth knowing

Only about a tenth of the energy at one level reaches the next. The rest is used up moving, keeping warm and simply staying alive. That is why there is so much grass, fewer kangaroos, and only a handful of eagles: each step up has far less energy to share.

Unit 4EcosystemsHabitats · Human impact

Ecosystems and people

An ecosystem is all the living things in a place plus the non-living things they depend on — a rock pool, a patch of mallee, a farm dam. Humans are part of every ecosystem in Australia, sometimes as the damage and sometimes as the cure.

4.1Habitats, and what shapes them

A habitat is the place an organism lives, with everything it needs: food, water, shelter, space. What lives in a habitat is decided by two kinds of factor.

Biotic factors (living)Abiotic factors (non-living)
What they areOther organisms and their effectsPhysical conditions of the place
ExamplesFood plants, predators, competitors, disease, decomposersSunlight, temperature, rainfall, soil type, wind, salt in the water
In a rock poolSeaweed, crabs, gulls hunting at low tideTide height, water temperature, how salty the pool gets in the sun
  • Predation: one organism (the predator) kills and eats another (the prey). Dingo and kangaroo; kookaburra and lizard. Predators keep prey numbers in check.
  • Competition: two organisms need the same limited resource — food, water, light, nest hollows. Two magpies over one worm; a gum seedling in the shade of its parent. Rabbits compete with bilbies for burrows and grass.
  • A population is all the members of one species in a place; a community is all the populations living there together.

4.2Human impacts

Australia has lost more mammal species since European settlement than any other continent. Most of the damage traces back to three things.

ImpactWhat happenedEffect on the ecosystem
Introduced speciesRabbits released for hunting in 1859; cane toads brought to Queensland in 1935 to eat beetles; foxes and cats arrived with settlers.Rabbits strip plants and out-compete native grazers. Toads poison the quolls, goannas and snakes that eat them. Cats and foxes hunt small mammals that never evolved to escape them.
Habitat lossBush cleared for farms, roads and suburbs; wetlands drained; old trees with hollows cut down.Animals lose food and shelter. Koalas need connected forest; a patch cut in two by a highway is two smaller, weaker populations.
Big, hot bushfiresLong droughts and years of built-up fuel make fires that burn huge areas at once, as in the 2019–20 summer.Every part of a habitat burns together, leaving nowhere to escape or return to. Slow-moving animals suffer worst.
Why introduced species win

An introduced species arrives without the predators, diseases and competitors that kept it in check at home. Nothing here eats it safely, so its numbers explode. Solutions include fences, baits, and biological control — bringing in the pest's own enemy, as the cactoblastis moth was brought in to eat the prickly pear cactus that had swallowed farmland in the 1920s.

4.3Caring for Country with fire

  • Aboriginal and Torres Strait Islander peoples have managed Australian ecosystems for tens of thousands of years, with detailed knowledge of which plants and animals live where, when they breed, and what they need.
  • Cultural burning uses small, cool, patchy fires, lit on purpose in the cooler months. They burn slowly along the ground, clearing leaf litter and dead grass while the tree canopy and the soil are barely touched.
  • Animals can walk away from a cool fire and come back to fresh green shoots. A patchwork of burnt and unburnt ground means there is always food and shelter somewhere nearby.
  • Because fuel never builds up, a summer bushfire has far less to burn. Today many fire services work with Traditional Owners to bring cultural burning back.
Worth knowing

Some Australian plants need fire: banksia cones only open in heat, and grass trees flower after a burn. An ecosystem shaped by fire for thousands of years does not thrive with no fire at all — it needs the right kind of fire.

Start hereYear 7 ScienceChemical sciences

Mixed up, and how to un-mix it.

Four units: what "pure" really means and what a mixture is, how dissolving works and the words that go with it, the toolkit for separating mixtures — sieves, filters, evaporation, distillation, chromatography — and where the same tricks run whole cities. Built from the Year 7 Chemical sciences description.

The mapFour units

  1. Pure substances and mixtures — one thing, or several things jumbled; and why sea water is not "pure" even when it is clean.
  2. Solutions — solute, solvent, soluble, saturated; why dissolving is not melting; and how to make it go faster.
  3. Separating mixtures — eight techniques, and the one question that tells you which to use.
  4. Separation in the real world — tap water, desalination, recycling and gold, and the particle picture that explains why any of it works.
What Year 7 Chemistry is actually assessed on

Mixtures, including solutions, contain a combination of pure substances that can be separated using a range of techniques — and each technique works by using a physical property (size, solubility, boiling point, density, magnetism) that is different between the parts.

Unit 1MixturesPure · Homogeneous · Heterogeneous

Pure substances and mixtures

"Pure" on a juice carton means nothing was added. "Pure" in science means something stricter: one substance, and only that substance, all the way through. By that rule almost everything around you is a mixture.

1.1What "pure" means in science

  • A pure substance is made of one kind of particle only. Pure water is water and nothing else; sugar is sugar; the oxygen in a hospital cylinder is oxygen. A pure substance has fixed properties — pure water always freezes at 0 °C and boils at 100 °C.
  • A mixture contains two or more substances jumbled together but not joined. They can be in any amounts, each keeps its own properties, and they can be separated again. Sea water, air, soil, milk, muesli, a cup of tea: all mixtures.
  • Tap water is a mixture: water plus dissolved minerals, a little chlorine, and gases. It is clean and safe, but it is not pure. That is why "pure" and "clean" are different words.

1.2The particle picture

PURE SUBSTANCE MIXTURE SOLUTION one kind of particle only e.g. pure water, sugar, oxygen two kinds, jumbled, not joined e.g. sand and salt, muesli, soil a mixture spread so evenly it looks like one thing e.g. salt water, cordial, air The particles in a mixture are not joined to each other — which is exactly why a mixture can be un-mixed.
Figure 1.1 — pure, mixed, dissolvedOne colour of particle: pure. Two colours side by side: a mixture. A solution is still a mixture — the second kind of particle is simply spread out so evenly that your eyes cannot pick it out. Salt water looks like water, but every mouthful proves the salt is there.

1.3Two kinds of mixture

Homogeneous mixtureHeterogeneous mixture
Looks likeOne substance — the same all the way throughYou can see the different parts
Every spoonfulIdenticalDifferent — more raisins in one, more oats in the next
ExamplesSalt water, cordial, vinegar, air, clear apple juiceMuesli, soil, a salad, sand in water, oil and water, pizza
Memory hookhomo = samehetero = different
The wording that scores

Asked why air is a mixture and not a pure substance, do not just say "it has lots of things in it". Say the parts — nitrogen, oxygen, water vapour, carbon dioxide — are not joined, can be in varying amounts (humid days have more water vapour), and can be separated. Three ideas, three marks.

Unit 2MixturesSolute · Solvent · Solution

Solutions: where did the sugar go?

Stir sugar into tea and it vanishes. It has not gone anywhere — every particle is still in the cup, spread too thinly to see. That is a solution, and this unit gives you the words to describe it exactly.

2.1The words

  • The solute is the substance that dissolves — the sugar, the salt, the cordial syrup.
  • The solvent is what it dissolves into — usually water, "the universal solvent", though nail-polish remover and turpentine are solvents too.
  • Solute + solvent = solution: a homogeneous mixture, clear (you can see through it, even if coloured), and the solute never settles out.
  • Soluble means it can dissolve in that solvent; insoluble means it cannot. Sugar is soluble in water. Sand is insoluble — stir all you like, it sinks. Chalk is insoluble in water but a wax crayon mark dissolves in turpentine: solubility depends on the pair.
  • An insoluble solid floating through a liquid is a suspension — muddy water. Leave it and the solid settles; a real solution never does.

2.2Dissolving, particle by particle

BEFORE DURING AFTER a sugar crystal sits in water its particles locked in a block moving water particles knock sugar particles free, one by one sugar spread evenly between the water particles — a solution Green = sugar (solute), blue = water (solvent). Count the green particles: none are lost — the sugar is still there, just too spread out to see.
Figure 2.1 — what dissolving looks likeWater particles are always moving. They bump into the crystal, pull particles off its surface and carry them away, until the sugar is scattered evenly through the whole drink. Nothing is destroyed and nothing new is made — which is why you can get the sugar back by evaporating the water.
Dissolving is not melting

Melting needs heat and one substance: solid ice becomes liquid water at 0 °C, with no second substance involved. Dissolving needs a solvent and can happen cold: the sugar stays solid-type particles, just separated and surrounded by water. Chocolate in your hand melts; chocolate in hot milk dissolves. Exams love this pair.

2.3How much, and how fast

  • Concentration describes how much solute is in the solvent. A dilute solution has a little (weak cordial); a concentrated solution has a lot (the syrup in the bottle).
  • Keep adding solute and eventually no more will dissolve — it piles up at the bottom however hard you stir. The solution is saturated: it holds all it can at that temperature.
  • Warm water can usually hold more solute than cold water, which is why sugar dissolves so easily in hot tea and so badly in iced water.
To dissolve it faster…Why it works (particle model)
Stir itKeeps fresh water particles bumping the crystal instead of the same saturated layer
Heat the solventFaster-moving water particles hit the crystal harder and more often
Crush itSmall grains have far more surface for water particles to attack — caster sugar beats sugar cubes
Unit 3SeparationFiltration · Distillation · Chromatography

Separating mixtures: the toolkit

Because the parts of a mixture are not joined, you can always get them apart — provided you find a property that is different between them and pick the technique that uses it. Every separation question is really that one question in disguise.

3.1The simple ones

  • Sieving — uses particle size. Big pieces stay on the mesh, small ones fall through. Flour through a sieve; pasta in a colander; gravel from sand.
  • Decanting — uses density (heavy sinks). Let the solid settle, then pour the liquid gently off the top. Rinsing rice; separating oil floating on water.
  • Magnetic separation — uses magnetism. A magnet lifts iron or steel out of everything else. Iron filings from sand; steel cans from recycling.
  • Hand-picking — uses appearance. Slow but real: the raisins out of the muesli.

3.2Filtration

FUNNEL FILTER PAPER RESIDUE BEAKER FILTRATE MIXTURE POURED IN holds the paper and guides the liquid down folded into a cone; full of tiny holes the sand — too big to get through catches whatever comes through clear water that passed through the holes sand + water, slowly Filtration uses particle SIZE: water particles slip through the paper's holes; sand grains are far too big.
Figure 3.2 — filtering sand out of waterTwo words to learn: the solid trapped on the paper is the residue; the liquid that gets through is the filtrate. Filtration only works on an insoluble solid — try it on salt water and the salt sails straight through, because dissolved particles are as small as the water particles.

3.3Evaporation, crystallisation and distillation

  • Evaporation — uses boiling point. Heat a solution and the solvent turns to gas and leaves; the dissolved solid stays behind. Salt from salt water. You lose the water.
  • Crystallisation — evaporation done slowly. Warm the solution until it is nearly saturated, then let it cool and sit. The solute comes out as neat crystals, bigger and purer than fast boiling gives. Copper sulfate crystals in the lab; sugar crystals on a string.
  • Distillation — evaporation plus condensing. Boil the liquid off, cool the vapour back to liquid, and collect it. Now you keep the solvent: pure water from sea water, alcohol from a fermented mix.
SALT WATER salt stays behind HEAT water boils at 100 °C — salt does not steam travels along the tube cold water in cold water out CONDENSER the cold jacket turns steam back into liquid FLASK BEAKER DISTILLATE salt water is boiled here pure water, no salt Distillation uses BOILING POINT: water boils away and is caught again; the salt never leaves the flask.
Figure 3.3 — simple distillationFollow the water: liquid in the flask → steam in the tube → liquid again in the cold condenser → drips into the beaker as distillate. The cold water enters the jacket at the end furthest from the flask and leaves at the near end, so the coldest water meets the steam that has already cooled most. The salt, which needs far more heat to boil, never leaves.

3.4Chromatography

PENCIL SOLVENT FRONT FASTEST DYE MIDDLE DYE SLOWEST DYE START LINE WATER — THE SOLVENT PAPER STRIP WATER CLIMBS INK SPOT rests across the top and holds the strip how far the water climbed most soluble — travelled furthest in between clings to the paper — barely moved drawn in pencil so it cannot run kept below the start line chromatography paper up the paper, carrying each dye a different distance placed on the start line Chromatography uses SOLUBILITY: the dye that dissolves best rides furthest with the water; the one that clings to the paper stays low.
Figure 3.4 — paper chromatographyBlack ink is usually several dyes mixed together. As the water soaks up the strip it carries each dye along, but not equally: a very soluble dye keeps up with the water, a less soluble one lags. Two rules matter in the exam — draw the start line in pencil (ink would dissolve and run), and keep the water level below the spot (or it washes off into the beaker).

3.5The whole toolkit

TechniqueProperty it usesSeparatesExample
SievingParticle size (big vs small)Solid from solidGravel from sand
FiltrationParticle size (solid vs liquid)Insoluble solid from liquidSand from water
DecantingDensitySettled solid, or a floating liquid, from a liquidOil off water
Magnetic separationMagnetismIron or steel from anything elseIron filings from sand
EvaporationBoiling pointDissolved solid from a solution (keep the solid)Salt from sea water
CrystallisationBoiling point, slowlyDissolved solid as pure crystalsCopper sulfate crystals
DistillationBoiling pointSolvent from a solution (keep the liquid)Pure water from sea water
ChromatographySolubilityDyes in a mixture of coloursThe colours in black ink
Two-step problems

"Separate a mixture of sand, salt and water." Do it in order: filter first (sand is insoluble — it is the residue), then evaporate the filtrate to get the salt back — or distil it if the question wants the water too. Always name the technique and the property that makes it work.

Unit 4SeparationWater · Recycling · Gold

Separation in the real world

The same techniques you use with a funnel and a beaker run at city scale: every glass of tap water, every recycled can and every gram of gold ever mined was separated from a mixture by using a property that was different.

4.1How tap water is made

  1. Screening — river or dam water passes through metal grids that stop sticks, leaves and rubbish. That is sieving.
  2. Settling — in wide, still tanks the mud and grit sink to the bottom and the clearer water flows on. That is decanting, done slowly and continuously. A chemical is added first that makes tiny bits clump into bigger, heavier flakes so they settle faster.
  3. Filtering — the water trickles down through beds of sand and gravel, which trap the fine particles that never settled. That is filtration.
  4. Disinfecting — a small, carefully measured amount of chlorine is added to kill germs. This is not a separation: bacteria are too small to filter cheaply, so they are killed instead. Fluoride is added in most Australian cities to protect teeth.
Worth knowing

None of these steps removes dissolved salt — and that is fine for river water. Which is exactly why turning sea water into drinking water needs a different tool.

4.2Desalination: drinking the sea

  • Perth gets close to half its water from two desalination plants; Sydney, Melbourne, Adelaide and the Gold Coast have them for dry years. Salt is dissolved, so filtering and settling cannot touch it.
  • The old way is distillation — boil the sea water, condense the steam — but boiling that much water costs an enormous amount of energy.
  • Modern plants use reverse osmosis: the sea water is pushed at very high pressure against a membrane with holes so fine that water particles fit through and the dissolved salt does not. Think of it as filtration taken to the extreme — it still uses particle size, just at the scale of single particles.
  • The leftover, extra-salty water (brine) is returned to the ocean and mixed in carefully so it does not harm sea life.

4.3Recycling and gold

  • At a recycling centre the mixed contents of yellow bins ride a conveyor. Rotating screens sieve out small bits and flat cardboard; powerful magnets lift out steel cans; a different device using electricity flicks aluminium cans off the belt; jets of air blow light plastic one way while heavy glass drops the other — separation by density.
  • Panning for gold is decanting with a swirl: gold is about seven times denser than sand, so as water washes the light sand over the rim of the pan, the heavy gold stays at the bottom. The 1850s gold rushes at Ballarat and Bendigo ran on this one property.
  • In the kitchen: draining pasta (sieving), skimming fat off a stock (decanting), a tea bag (filtration), reducing a sauce (evaporation).

4.4Why any of it works

The particle explanation, for full marks

All matter is made of tiny particles. In a mixture the different particles are mixed together but not joined, so each keeps its own properties — its size, its density, its boiling point, whether a magnet pulls it. A separation technique simply finds a property the particles of one part have and the other part's do not, and uses it to pull them apart. Filter paper holes stop sand particles but pass water particles (size); heat makes water particles fly off as gas while salt particles stay (boiling point); a magnet grabs iron particles and ignores sand (magnetism). Name the property every time.

Start hereYear 7 SciencePhysical sciences

Pushes, pulls and the machines that cheat them.

Four units: what a force is and how to draw one, what happens when forces cancel and when they don't, the difference between how heavy you are and how much stuff you are made of, and the simple machines that let a small push do a big job — built from the Year 7 Physical sciences description AC9S7U06.

The mapFour units

  1. What a force is — pushes and pulls, newtons, force arrows, and the forces that need contact versus the ones that reach across empty space.
  2. Balanced and unbalanced — adding forces up, and why a balanced object keeps doing exactly what it was doing.
  3. Gravity, mass, weight and friction — kilograms versus newtons, why you would weigh less on the Moon, and friction as friend and enemy.
  4. Simple machines — levers, ramps, pulleys, gears and the wheel-and-axle: how they change the size or direction of a force.
What Year 7 Physics is actually assessed on

AC9S7U06 — investigate and represent balanced and unbalanced forces, including gravitational force, acting on objects, and relate changes in an object's motion to its net force. You should be able to name contact and non-contact forces, draw force arrows, tell mass from weight, and explain how a simple machine helps.

Unit 1AC9S7U06Pushes · Pulls · Newtons

What a force is: every push and every pull

You cannot see a force. You can only see what it does: a netball changes direction, a trolley starts rolling, a bike slows down, a can gets crushed. A force is simply a push or a pull, and this unit is about naming them, measuring them and drawing them.

1.1What forces do

  • A force can make a still object start moving, make a moving object speed up, slow down, stop or change direction, and it can change an object's shape (squash a sponge, stretch a rubber band, bend a ruler).
  • Forces are measured in newtons, symbol N. A small apple pulls down on your hand with about 1 N. A full 2 L milk bottle is about 20 N. A strong adult push is a few hundred newtons.
  • Forces always come in a direction as well as a size. "10 N" is not a full answer; "10 N to the left" is.
  • We draw a force as an arrow: it starts on the object, points the way the force acts, and its length shows the size. A picture with all the force arrows on one object is a force diagram.
Longer arrow = bigger force. Every arrow starts on the box and points the way the force acts. the floor BOX Push — 60 N Weight — 50 N Support — 50 N Friction — 40 N your hands — a contact force gravity — a non-contact force the floor pushing up — a contact force the floor rubbing back — a contact force Left and right: 60 N − 40 N = 20 N to the right, so the box speeds up that way. Up and down: 50 N = 50 N, so it neither rises nor sinks.
Figure 1.1 — a force diagramFour forces act on this box at once. The two vertical arrows are the same length — they cancel. The push arrow is longer than the friction arrow — they do not cancel, and the leftover 20 N is what makes the box move. Reading a diagram like this is Unit 2; drawing one correctly is the skill for now.

1.2Measuring a force

0 N1 N2 N3 N4 N5 N6 N 400 g Hook — hang the balance from something solid Spring — stretches in proportion to the pull Pointer and scale — read the force in newtons The load — a 400 g bag pulls down with about 4 N the top hook carries the whole pull twice the pull, twice the stretch here it reads 4 N the pointer stops where the spring's pull balances the load A spring balance is also called a force meter or a newton meter. Read it at eye level, and check it says 0 with nothing hanging.
Figure 1.2 — the spring balanceA spring stretches by the same extra amount for each extra newton, so a scale marked beside it turns a stretch into a force reading. It measures pulls directly; to measure a push you push on it the other way round. Note the units on the scale: newtons, not grams.

1.3Contact and non-contact forces

Most forces need the two objects to touch. A few reach across empty space. That split is the first thing the exam asks for.

ForceContact or non-contact?What it doesAustralian example
Applied force (push or pull)ContactWhatever your hands, feet or a machine push or pull onShoving a jammed sliding door
FrictionContactResists two touching surfaces sliding past each otherThongs gripping a wet pool deck
Air resistance (drag)ContactFriction with the air that pushes against anything moving through itA cyclist crouching low on the Tour Down Under
Support (normal force)ContactA surface pushing up on whatever rests on itThe wharf holding up a parked ute
TensionContactThe pull along a stretched rope, cable or chainA tow rope pulling a water-skier
Upthrust (buoyancy)ContactWater pushing up on whatever is in itA tinnie floating on the Murray
GravityNon-contactPulls every object towards the centre of the EarthA dropped cricket ball falling
Magnetic forceNon-contactPulls on iron, steel, nickel and cobalt; magnets can also push each other apartA fridge magnet holding a shopping list
Electrostatic forceNon-contactPull or push between charged objectsA rubbed balloon lifting the hairs on your arm
The three non-contact forces

Only three forces on the Year 7 list act at a distance: gravity, magnetic and electrostatic. Everything else needs contact. If an exam question describes something happening "without touching", it is one of those three — and if it mentions iron, steel or a compass needle, it is magnetic.

Unit 2AC9S7U06Net force · Balanced · Unbalanced

Balanced and unbalanced: adding the arrows up

Objects almost never have just one force on them. What matters is the net force — what is left over once you add the arrows up. If nothing is left over, the forces are balanced and the object carries on exactly as it was. If something is left over, its motion changes.

2.1Net force

  • Forces in the same direction add: two people each pushing a car with 200 N give a net force of 400 N.
  • Forces in opposite directions subtract: 500 N to the right and 300 N to the left give a net force of 200 N to the right. The net force always points the way of the bigger force.
  • If the opposite forces are equal, the net force is 0 N. The forces are balanced.
  • A net force is never "just a number": say its size and its direction.
BALANCED — 400 N each way 400 N 400 N Team A Team B the flag on the rope stays put Net force = 400 − 400 = 0 N balanced: the rope keeps doing what it was doing — nothing UNBALANCED — 500 N vs 300 N 500 N 300 N Team A Team B the rope moves toward Team A Net force = 500 − 300 = 200 N toward A unbalanced: the rope speeds up toward the bigger pull Same scale on both ropes: arrow length = size of the pull.
Figure 2.1 — tug of war, twiceThe rope is the object; the two pulls are the forces on it. Equal pulls cancel and the flag does not move, however hard both teams strain. Unequal pulls leave a net force, and the rope accelerates toward the stronger team — that is what "winning" a tug of war is.

2.2The rule

Balanced forces — the sentence to memorise

When the forces on an object are balanced, it keeps doing what it was already doing: if it was still, it stays still; if it was moving, it keeps moving at the same speed in the same direction. When the forces are unbalanced, the object speeds up, slows down or changes direction — in the direction of the net force.

  • A book on a desk: weight down, support up, equal. Balanced, so it stays put.
  • A car cruising at a steady 100 km/h: the engine's forward push equals friction plus air resistance pulling back. Balanced — steady speed does not need a net force. This is the point most people get wrong.
  • A car braking: the brakes add a large backward friction force. Backward now beats forward, the net force points backward, the car slows.
  • A netball hitting the ring: the ring pushes on the ball for a moment; that unbalanced push changes the ball's direction.
1 — JUST JUMPED air resistance 200 N weight 700 N weight > air resistance → speeds up unbalanced 2 — STEADY SPEED air resistance 700 N weight 700 N equal → steady speed (terminal speed) balanced 3 — PARACHUTE OPEN parachute canopy lines air resistance 1,100 N weight 700 N air resistance > weight → slows down unbalanced
Figure 2.2 — a skydiver's three momentsHer weight never changes: 700 N all the way down. Air resistance does — it grows as she falls faster, and it jumps when the canopy opens. Compare the two arrows at each moment and you can predict what happens next: speed up, hold steady, slow down. After stage 3 the forces balance again at a much slower, safe landing speed.
Unit 3AC9S7U06Gravity · Mass vs weight · Friction

Gravity, mass, weight — and friction

"How much do you weigh?" is a trick question in physics. The number on the bathroom scales is your mass in kilograms. Your weight is the force gravity pulls you down with, in newtons — and it would be different on the Moon.

3.1Gravity

  • Gravity is a non-contact force of attraction between any two objects that have mass. Everything pulls on everything — but only enormous things like planets and moons pull hard enough to notice.
  • The Earth pulls every object toward its centre. That direction is what we call "down" — which is why "down" in Perth and "down" in London point in different directions in space.
  • Gravity also holds the Moon in orbit around the Earth, and the Earth in orbit around the Sun. It works across empty space; nothing needs to touch.
  • A bigger planet pulls harder. The Moon is much smaller than Earth, so its gravity is about one-sixth as strong.

3.2Mass versus weight

MassWeight
What it isThe amount of matter (stuff) in an objectThe force of gravity pulling on that matter
Unitkilograms (kg)newtons (N)
Measured withA balance (compares against known masses)A spring balance or force meter
Changes if you move to the Moon?No — you are made of the same stuffYes — about one-sixth of your Earth weight
On Earth50 kg student50 × 10 = about 500 N
The one calculation you need

On Earth, gravity pulls each kilogram with about 10 N. So weight (N) ≈ mass (kg) × 10. A 30 kg bag of cement weighs about 300 N; a 1.5 kg cat weighs about 15 N. On the Moon it is only about 1.6 N per kilogram, so that same cat would weigh about 2.4 N — but it would still be a 1.5 kg cat.

ON EARTH same object, same 1 kg of matter Earth's surface 1 kg weight ≈ 10 N gravity pulls each kg with about 10 N ON THE MOON same object, same 1 kg of matter the Moon's surface 1 kg weight ≈ 1.6 N about one-sixth of the pull on Earth Mass (kg) never changes. Weight (N) is the pull of gravity on that mass — it depends where you are standing.
Figure 3.1 — one kilogram, two weightsThe box is identical in both pictures. Only the arrow changes, because the Moon pulls about six times more weakly than Earth. Astronauts on the Moon bounced along not because they lost mass, but because they lost five-sixths of their weight.

3.3Falling

  • Drop a hammer and a feather on Earth and the hammer lands first — but only because air resistance holds the feather back. In 1971 an Apollo 15 astronaut dropped both on the airless Moon and they hit the ground together.
  • Air resistance depends on shape, size and speed. A flat sheet of paper drifts down; scrunch the same sheet into a ball and it drops fast. Same mass, same gravity, less air resistance.
  • The faster you fall, the bigger the air resistance gets, until it balances your weight — the steady-speed stage of Figure 2.2.

3.4Friction: friend and enemy

Friction is the contact force that resists two surfaces sliding across each other. It always acts against the direction something is moving (or trying to move), and it turns motion into heat — rub your hands together and feel it.

Friction is useful when…Friction is a nuisance when…
Your shoes grip the floor so you can walk — try it on a wet tiled pool deckEngine and bike parts rub, get hot and wear away
Tyres grip the road; the tread channels water away on a wet dayAir resistance slows a cyclist or a car, wasting fuel
Brake pads squeeze the wheel and slow the bikeA stiff, dry hinge squeaks and sticks
A match lights; a gymnast's chalked hands hold the barWater resistance slows a swimmer or a boat
  • To reduce friction: lubricate with oil or grease, polish the surfaces smooth, put the load on wheels or ball bearings, and streamline the shape to cut air or water resistance (teardrop helmets, smooth car bodies, swimmers' caps).
  • To increase friction: roughen the surface (tyre tread, sandpaper, non-slip strips on stairs), add grip (rubber soles, chalk, rosin on a violin bow), or press the surfaces together harder.
Unit 4AC9S7U06Levers · Ramps · Pulleys · Gears

Simple machines: a small force doing a big job

You cannot lift a car engine with your hands, but you can with a crowbar, a ramp or a pulley. A simple machine has no motor and no electronics — it just changes the size or the direction of a force. The catch: a smaller force always has to move a longer distance.

4.1Levers

A lever is a stiff bar that turns about a fixed point, the fulcrum (or pivot). You apply the effort; the lever moves the load. Where the fulcrum sits relative to the effort and the load decides the class of lever.

FIRST CLASS seesaw · scissors · crowbar · pliers Load Effort Fulcrum fulcrum in the middle SECOND CLASS wheelbarrow · nutcracker · bottle opener Load Effort Fulcrum load in the middle THIRD CLASS tongs · tweezers · fishing rod · your forearm Effort Load Fulcrum effort in the middle Blue arrow = effort (your push or pull). Red arrow = load. The further the effort is from the fulcrum, the less effort you need.
Figure 4.1 — the three classes of leverAsk "what is in the middle?" First class: the fulcrum (a seesaw). Second class: the load (a wheelbarrow — the wheel is the fulcrum, the load sits in the tray, you lift the handles). Third class: the effort (tongs — the hinge is the fulcrum, your fingers squeeze in the middle, the food is at the tip). Third-class levers need more effort than the load, but they trade that for speed and reach.
The lever rule

The further from the fulcrum you push, the smaller the force you need — but the further your hand has to move. A long crowbar lifts a rock a child could not budge, yet the rock rises only a few centimetres while the crowbar's end swings through half a metre. Less force, more distance: every simple machine makes this same trade.

4.2Ramps, pulleys, wheels and gears

MachineWhat it changesHowExamples
Inclined plane (ramp)Size of forcePush a load up a gentle slope with a smaller force, over a longer distance, instead of lifting it straight upWheelchair ramps, a plank into a ute, a mountain road's zigzags
WedgeSize and directionA moving ramp: push it forward and it pushes the material apart sidewaysAxe, knife, door stop, chisel
ScrewSize of forceA ramp wrapped around a cylinder: many turns for a little forward travel, so a small twist gives a big pushWood screws, jar lids, a car jack
PulleyDirection (one pulley); size too (two or more)A rope over a grooved wheel lets you pull down to lift up; add pulleys and each rope section shares the loadFlagpole, window blinds, a builder's crane, a well
Wheel and axleSize of forceTurn the big wheel with a small force and the small axle turns with a big forceSteering wheel, door knob, screwdriver, tap handle
GearsSize of turning force, and speedToothed wheels lock together; a small gear driving a big one turns it slower but harderBike gears, hand egg-beater, clockwork
ONE FIXED PULLEY beam LOAD 100 N Effort — pull DOWN 100 N same size, opposite direction load rises fixed pulley bolted to the beam — it turns but never moves FIXED + MOVING PULLEY beam LOAD 100 N Effort — 50 N half the force, twice the rope fixed pulley rope tied to the beam moving pulley rises with the load A fixed pulley only changes the direction of your pull. Adding a moving pulley shares the load between two rope sections, so each needs half the force.
Figure 4.2 — pulleysWith one fixed pulley you still supply the full 100 N, but pulling down is far easier for a person than lifting up — you can use your weight. Add a moving pulley and two rope sections hold the load, so your pull halves to 50 N; the price is pulling two metres of rope to lift the load one metre. Cranes stack many pulleys together for exactly this reason.
Worth knowing

Your body is full of levers. Your forearm is a third-class lever: the elbow is the fulcrum, the biceps pulls just in front of it (the effort), and the load is in your hand. That is a poor arrangement for strength — the biceps pulls much harder than the weight you hold — but a superb one for speed, which is why you can throw a cricket ball at 100 km/h.

Start hereYear 7 ScienceEarth & space sciences

One planet, one Sun, one Moon — and everything we take from them.

Four units: the resources Earth gives us and which ones run out, the water that never stops moving, why we have day, night and seasons, and what the Moon does to our skies and our oceans — built from the Year 7 Earth & space descriptions AC9S7U03 and AC9S7U04.

The mapFour units

  1. Earth's resources — renewable versus non-renewable, and why the answer depends on how fast we use them.
  2. The water cycle — evaporation to precipitation and back, driven by the Sun, and where the water in your tap actually comes from.
  3. Day, night and seasons — a spinning, tilted Earth on a year-long lap around the Sun.
  4. The Moon, eclipses and tides — phases, two kinds of eclipse, and the pull that lifts the ocean twice a day.
What Year 7 Earth & Space is actually assessed on

AC9S7U03 — classify Earth's resources as renewable or non-renewable and describe the water cycle. AC9S7U04 — model the relative movements of the Earth, Sun and Moon and explain day and night, seasons, Moon phases, eclipses and tides.

Unit 1AC9S7U03Renewable · Non-renewable

Earth's resources: what runs out and what doesn't

Everything you own started as something dug up, cut down, pumped out or grown. A natural resource is anything we take from the Earth and use. The big question about each one is simple: does nature make more of it as fast as we use it up?

1.1Renewable or non-renewable

  • A renewable resource is replaced by natural processes about as fast as we use it — or faster. Sunlight, wind, flowing water, tides, crops, wool, and timber from forests that are replanted.
  • A non-renewable resource took millions of years to form, so once it is used it is gone on any human timescale. Coal, oil, natural gas, and minerals such as iron ore, bauxite, gold and uranium.
  • Coal, oil and gas are the fossil fuels: the remains of plants and tiny sea creatures buried and squeezed for hundreds of millions of years. Burning a tonne of coal takes an afternoon; making it took an age.
  • Some resources sit on the line. A forest is renewable if it is logged slower than it regrows. A fishery is renewable if the catch is smaller than the number of fish born. Groundwater is renewable if rain refills it faster than bores pump it out.
RENEWABLE sunlight · wind · replanted timber · wool refilled by nature — quickly level stays full used by people in ≥ out → it never runs dry NON-RENEWABLE coal · oil · gas · iron ore · gold refilled by nature — over millions of years level keeps dropping used by people out >> in → one day it runs out "Renewable" is about the RATE: use a resource slower than nature replaces it and it lasts forever.
Figure 1.1 — the two tanksThink of each resource as a tank with a tap filling it and a tap draining it. Sunlight's filling tap never shuts. Coal's filling tap drips once every few million years while the drain runs flat out. The label on the tank is decided by comparing the two taps — which is why a forest can move from one column to the other depending on how it is managed.

1.2The Australian picture

ResourceRenewable?Where Australia gets itWhat it is used for
Iron oreNoThe Pilbara, WA — Australia is the world's biggest exporterSteel for buildings, cars, bridges
CoalNoHunter Valley (NSW), Bowen Basin (Qld)Electricity, steel-making, export
Natural gasNoOff the north-west coast, Bass StraitCooking, heating, power stations, export as LNG
BauxiteNoWeipa (Qld), the Darling Range (WA)Aluminium for cans, planes, window frames
SunlightYesEverywhere — about one in three Australian homes has rooftop solar, the highest rate in the worldElectricity, hot water
WindYesSouth Australia, western Victoria, TasmaniaElectricity
Flowing waterYesThe Snowy Mountains, Tasmania's damsHydro-electricity
TimberYes, if replantedPine plantations in SA, Vic and NSWHouse frames, paper, furniture
The sentence markers want

A resource is renewable if it is replaced by natural processes at least as fast as it is used, and non-renewable if it forms so slowly that our use will exhaust it. Name the resource, say how fast nature makes it, and compare that with how fast we take it.

Unit 2AC9S7U03Evaporation · Condensation · Precipitation

The water cycle: the same water, round and round

The water in your glass has been rain, ocean, cloud, river and probably a dinosaur at some point. Earth has had roughly the same water for billions of years; it just keeps changing state and moving. The engine that drives it all is the Sun.

2.1The cycle

OCEAN 97% of Earth's water, all salty 7 Groundwater stored in rock · seeps back to the sea THE SUN the engine heat from the Sun 1 Evaporation liquid water → water vapour vapour rises and cools 3 Condensation vapour cools into droplets — a cloud 2 Transpiration water vapour from leaves 4 Precipitation rain · hail · snow 5 Runoff over land to rivers 6 Infiltration soaks into soil and rock Same water, round and round: the Sun lifts it up, gravity brings it back down.
Figure 2.1 — the water cycleFollow the numbers. The Sun's heat evaporates water from the ocean (and plants add more by transpiration). The vapour rises, cools and condenses into cloud droplets. When droplets grow heavy they fall as precipitation. On land the water either runs off into creeks and rivers, or infiltrates the soil to become groundwater. Either way it ends up back in the sea, and the loop starts again.
ProcessChange of stateWhere it happens
EvaporationLiquid → gas (water vapour)Ocean, lakes, wet roads, washing on the line
TranspirationLiquid → gasLeaves of plants, which pull water up from the soil
CondensationGas → liquidHigh in the sky where the air is cold; also on a cold drink can
PrecipitationFalls as liquid or solidRain, drizzle, hail, snow
RunoffNo change — liquid flowsOver the land surface into creeks, rivers and lakes
InfiltrationNo change — liquid soaks downInto soil and porous rock, becoming groundwater

2.2Where your tap water comes from

  • Of all the water on Earth, about 97% is salty ocean, about 2% is locked in ice, and less than 1% is the fresh liquid water in rivers, lakes and underground that we can actually drink.
  • Most Australian cities drink dam water: rain runs off a protected catchment into a reservoir — Warragamba for Sydney, Wivenhoe for Brisbane, the Thomson for Melbourne. It is filtered and a little chlorine is added to kill germs before it reaches the pipes.
  • Perth gets about half its water from desalination — taking the salt out of sea water — and much of the rest from groundwater pumped from bores.
  • Outback towns and farms rely on the Great Artesian Basin, a vast underground store of water that fell as rain thousands of years ago, and on rainwater tanks.
Water as a resource

Water is renewable — the cycle keeps delivering it — but only at the rate rain falls. Australia is the driest inhabited continent, and droughts can last years. That is why we build dams and tanks to store the wet years, put restrictions on sprinklers in the dry ones, rate appliances with WELS water stars, and recycle treated water for parks and industry. The cycle is free; managing it is not.

Unit 3AC9S7U04Spin · Orbit · Tilt

Day, night and seasons: a spinning, tilted Earth

The Earth does two things at once. It spins on its axis once every 24 hours, and it orbits the Sun once every year. Add one more fact — the axis is tilted — and you can explain sunrise, midnight, summer holidays and why Christmas is hot in Australia and cold in London.

3.1Day and night

THE SUN sunlight axis — tilted 23.5° DAY facing the Sun NIGHT facing away Earth spins once every 24 hours — that is one day Not to scale — the Sun is 109 Earths wide
Figure 3.1 — day and nightThe Sun can only light the half of Earth that faces it. As the Earth turns, your town is carried from the dark half into the lit half (sunrise), across it (daytime), and back into the dark (sunset). Because the Earth turns toward the east, the Sun appears to rise in the east and set in the west.
  • One spin = one day (24 hours). One orbit = one year (365¼ days — the quarter is why we add 29 February every four years).
  • The Earth's axis is an imaginary line through the North and South Poles. It is tilted at 23.5° and it always points the same way in space as the Earth goes around the Sun.
  • The Sun does not move across the sky — we turn. Sunrise is your part of the Earth spinning into the light.

3.2Seasons come from tilt, not distance

Earth's orbit — one lap = one year SUN sunlight sunlight JUNE the north leans toward the Sun N S equator Australia: WINTER short days, low Sun DECEMBER the south leans toward the Sun N S equator Australia: SUMMER long days, high Sun The dashed N–S line is the axis. It always points the same way in space, tilted 23.5° — so each hemisphere takes turns leaning toward the Sun.
Figure 3.2 — why we have seasonsThe axis does not swing; the Earth moves around the Sun while the axis keeps pointing the same way. In December that puts the southern hemisphere leaning toward the Sun: sunlight hits it more directly and for more hours each day — summer. Six months later the same tilt leans the northern hemisphere in, and Australia has winter while Europe has summer.
  • The hemisphere leaning toward the Sun gets sunlight that is more direct (concentrated on a smaller patch of ground, so it heats more) and more hours of daylight. Both make it hotter.
  • The hemisphere leaning away gets slanting sunlight spread over a bigger area, and shorter days. Winter.
  • Distance is not the reason. Earth is actually closest to the Sun in early January — the middle of the northern winter. The orbit is very nearly a circle; the tilt does all the work.
  • Near the equator neither hemisphere leans much, so Darwin has a wet and a dry season rather than a hot and a cold one.
MonthHemisphere leaning toward the SunAustraliaEurope and North America
DecemberSouthernSummer — longest day about 21 DecWinter
MarchNeither (in between)AutumnSpring
JuneNorthernWinter — shortest day about 21 JuneSummer
SeptemberNeither (in between)SpringAutumn
The classic mistake

"It is summer because the Earth is closer to the Sun." No. If that were true, the whole planet would have summer at the same time — but December is summer in Sydney and winter in London. Seasons are opposite in the two hemispheres, which only a tilt can explain.

Unit 4AC9S7U04Phases · Eclipses · Tides

The Moon: phases, eclipses and tides

The Moon makes no light of its own. What you see is sunlight bouncing off a ball of grey rock that orbits us once a month. Everything in this unit — the changing shape, the rare eclipses, the ocean rising and falling twice a day — comes from where that ball is on its lap around the Earth.

4.1Phases

sunlight orbit ≈ 29.5 days orbit direction EARTH New Moon lit side faces away — we see nothing Waxing crescent a sliver, growing First quarter half lit, growing Waxing gibbous more than half, growing Full Moon the whole lit side faces us Waning gibbous more than half, shrinking Last quarter half lit, shrinking Waning crescent a sliver, shrinking Half the Moon is always sunlit. What changes is how much of that lit half is turned toward Earth.
Figure 4.1 — the phasesLook at the little discs: the sunlit half always faces the Sun on the right. From Earth in the middle, you see a different slice of it at each position. At new Moon the lit side faces away and the Moon is invisible; at full Moon the lit side faces us. Waxing means growing (new to full), waning means shrinking (full to new). One full cycle takes about 29.5 days.
  • The Moon orbits the Earth and reflects sunlight. Half of it is always lit — we just cannot always see that half.
  • The order: new → waxing crescent → first quarter → waxing gibbous → full → waning gibbous → last quarter → waning crescent → new. About a week between each quarter.
  • From Australia a waxing Moon is lit on its left side and a waning Moon on its right — the opposite of what northern-hemisphere books show, because we are looking at it "upside down".
  • Phases are not Earth's shadow. Earth's shadow only touches the Moon during a lunar eclipse.

4.2Eclipses

SOLAR ECLIPSE — Sun, MOON, Earth in a line: the Moon's shadow falls on Earth only at NEW Moon · seen from a narrow strip of Earth · never look at it directly SUN sunlight Moon Earth the Moon's shadow — a small dark spot on Earth LUNAR ECLIPSE — Sun, EARTH, Moon in a line: the Moon passes through Earth's shadow only at FULL Moon · seen from the whole night side of Earth · safe to watch SUN sunlight Earth Moon often turns a dull red Earth's shadow Not to scale — the Moon is much smaller and much further away, which is one reason eclipses are rare.
Figure 4.2 — the two eclipsesBoth need the three bodies in a straight line; the difference is who is in the middle. Solar: the Moon blocks the Sun, and only people standing in its small shadow see it — a few minutes of daytime darkness. Lunar: the Earth blocks the Sun, and the full Moon dims to a coppery red for an hour or more, visible to everyone on the night side. They do not happen every month because the Moon's orbit is tilted about 5°, so it usually passes just above or below the line.

4.3Tides

EARTH LOW TIDE LOW TIDE HIGH TIDE water pulled toward the Moon HIGH TIDE the far-side bulge the Moon's gravity pulls the water MOON the blue oval is the ocean, stretched — hugely exaggerated Earth spins through both bulges every day, so most coasts get two high tides and two low tides about 12 hours apart.
Figure 4.3 — why the sea rises twice a dayThe Moon's gravity pulls the ocean into a bulge on the side facing it, and a matching bulge forms on the far side. The bulges stay lined up with the Moon while the Earth turns underneath them, so any beach passes through a high tide, a low, a high and a low in roughly 24 hours. The Sun pulls too, more weakly: when Sun, Earth and Moon line up (new and full Moon) the pulls add up and we get extra-big spring tides; at the quarter Moons they work against each other and we get small neap tides.
Worth knowing

"Spring tide" has nothing to do with the season — it means the water springs up, and it happens twice every month. The biggest tides in Australia are in the Kimberley: at Derby, WA, the sea rises and falls up to 11 metres twice a day, among the largest tidal ranges on Earth, which is why the town's wharf stands on such tall legs.

Start hereYear 7 MathematicsNumber · Algebra · Measurement · Space · Statistics · Probability

Year 7 Maths: the six foundations.

Six units covering the core of the Year 7 Australian Curriculum: integers and number properties, fractions and percentages, first algebra, the Cartesian plane, angles and shapes, and measurement with data and chance.

The mapSix units

  1. Integers and number properties — negatives on the number line, order of operations, squares, primes and factor trees.
  2. Fractions, decimals and percentages — equivalent fractions, adding and multiplying, switching between the three forms, discounts and ratios.
  3. First algebra — what a letter means, substituting, like terms, solving equations, and the rule behind a pattern.
  4. The Cartesian plane — plotting points in four quadrants, and turning a rule into a line of points.
  5. Angles and shapes — angle types, angle facts, parallel lines, and the angle sums of triangles and quadrilaterals.
  6. Measurement, data and chance — perimeter, area and volume; mean, median, mode and range; probability as a fraction.
How to study maths (it is different)

Reading maths does almost nothing — doing it is everything. Keep a pencil and paper beside you for every drill, and when you get one wrong, redo it by hand before moving on. Ten minutes of working problems beats an hour of reading them.

Unit 1AC9M7NIntegers · Order of operations · Primes · Powers

Integers and number properties

Negative numbers are just the left half of the number line. Once you can walk along it, adding and subtracting them is easy — and the rest of this unit is about the personalities of the whole numbers: squares, primes and powers.

1.1Ordering, adding and subtracting on the number line

-6-5-4-3-2-1 0 123456 -4 + 6 = 2 (start at -4, walk 6 right) further left = smaller add = walk RIGHT -6-5-4-3-2-1 0 123456 3 - 5 = -2 (start at 3, walk 5 left) subtract = walk LEFT further right = larger
Figure 1.1 — the number line settles everythingThe filled dot is where you start, the hollow dot is where you land. Adding walks right, subtracting walks left, and "smaller" always means "further left": −7 is smaller than −3 because it is further from zero on the cold side. When two signs sit side by side, squash them first: + (−) becomes , and − (−) becomes +. So 5 − (−3) = 5 + 3 = 8.
Order of operations — BIDMAS

Brackets, Indices, Division and Multiplication (left to right), Addition and Subtraction (left to right).

2 + 3 × 4 = 14, never 20. And (2 + 3) × 4 = 20 — brackets are how you demand the addition happens first. 20 − 12 ÷ 4 = 20 − 3 = 17.

1.2Squares, square roots, factors and primes

WordMeaningExample
Square numberA number times itself7² = 7 × 7 = 49. The first twelve: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
Square rootUndoes squaring: which number, squared, gives this?√49 = 7 because 7² = 49. √81 = 9
FactorA number that divides in exactlyFactors of 12: 1, 2, 3, 4, 6, 12 (six of them)
MultipleThe times-table of a numberMultiples of 4: 4, 8, 12, 16, 20 …
Prime numberHas exactly two factors: 1 and itself2, 3, 5, 7, 11, 13, 17, 19, 23, 29 … (2 is the only even prime)
Composite numberHas more than two factors9 = 3 × 3, 15 = 3 × 5, 21 = 3 × 7
The number 1

1 is not prime — it has only one factor (itself), and a prime needs exactly two. It is not composite either. It is simply 1.

1.3Index notation and prime factor trees

An index (or power) is a shortcut for repeated multiplication: 2³ = 2 × 2 × 2 = 8. The small 3 says "multiply three 2s together" — it does not mean 2 × 3. Every composite number can be split into primes, and a factor tree does the splitting.

60610 2325 each branch splits a number into two factors; a circled prime cannot split, so stop there READ THE PRIMES OFF THE BOTTOM 60 = 6 × 10 = 2 × 3 × 2 × 5 = 2 × 2 × 3 × 5 (smallest first) = 2² × 3 × 5 index notation: 2² means 2 × 2 Any first split works: 60 = 4 × 15 or 60 = 2 × 30 both end with the same primes, 2, 2, 3, 5.
Figure 1.2 — the factor tree for 60Keep splitting until every branch ends in a prime (circled). Then multiply the primes back together, grouping repeats with an index: 60 = 2² × 3 × 5. Check by multiplying: 4 × 3 × 5 = 60 ✓.
Unit 2AC9M7NFractions · Decimals · Percentages · Ratios

Fractions, decimals and percentages: three costumes, one number

½, 0.5 and 50% are the same amount written three ways. This unit is about moving between the costumes, adding and multiplying fractions, and using percentages on real prices.

2.1Equivalent fractions

halfway mark — the shaded part is the same length every time 1/22/44/8 1 of 2 shaded2 of 4 shaded4 of 8 shaded
Figure 2.1 — equivalent fractions are the same lengthMultiply (or divide) the top and the bottom by the same number and the fraction's value does not change: ½ = 2/4 = 4/8. To simplify, divide top and bottom by their biggest common factor: 6/8 → divide both by 2 → 3/4.

2.2Adding, subtracting and multiplying

  1. Same denominator? Just add the tops. 2/5 + 1/5 = 3/5. The bottom names the size of the pieces; it does not change.
  2. Different denominators? Make them the same first. 1/2 + 1/3: the smallest number both 2 and 3 go into is 6. So 1/2 = 3/6 and 1/3 = 2/6, and 3/6 + 2/6 = 5/6.
  3. Subtracting works the same way. 3/4 − 1/2 = 3/4 − 2/4 = 1/4.
  4. Multiplying is the easy one: top × top, bottom × bottom. 2/3 × 3/4 = 6/12 = 1/2.
  5. "Of" means multiply. 3/4 of 20 = 20 ÷ 4 × 3 = 15.
The classic slip

1/2 + 1/3 is not 2/5. Adding the tops and adding the bottoms is wrong every time — check it: 2/5 is less than 1/2, but you started with 1/2 and added more. You must find a common denominator first.

2.3Switching between the three forms

FractionDecimalPercentageHow to get there
1/20.550%fraction → decimal: divide top by bottom (1 ÷ 2 = 0.5)
1/40.2525%decimal → percentage: multiply by 100 (0.25 × 100 = 25)
3/40.7575%percentage → fraction: write it over 100 and simplify (75/100 = 3/4)
1/50.220%1 ÷ 5 = 0.2, then × 100 = 20%
1/100.110%the easiest to memorise
1/30.333…33.3%the decimal never ends, so it is rounded

2.4Percentage of a quantity, and discounts

  1. Turn the percentage into a fraction or decimal: 20% = 20/100 = 0.2.
  2. Multiply: 20% of $45 = 0.2 × 45 = $9.
  3. Discount? Subtract it from the price: a $45 game with 20% off costs $45 − $9 = $36.
  4. The 10% trick: 10% is just "divide by 10". 10% of $80 = $8, so 30% of $80 = 3 × $8 = $24, and 5% of $80 = half of $8 = $4.

2.5Ratios: sharing fairly-by-the-rules

The three-step recipe

Share $40 between two people in the ratio 3 : 5.

1. Add the parts: 3 + 5 = 8 parts. 2. One part = 40 ÷ 8 = $5. 3. Multiply out: 3 × 5 = $15 and 5 × 5 = $25. Check: 15 + 25 = 40 ✓

  • A ratio compares parts in order: cordial to water 1 : 4 means 1 part cordial for every 4 parts water.
  • Simplify a ratio like a fraction: 8 : 12 → divide both by 4 → 2 : 3.
  • Ratios and fractions are cousins: in 3 : 5 the first person gets 3/8 of the money, not 3/5.
Unit 3AC9M7AVariables · Expressions · Equations · Patterns

First algebra: a letter is a number you don't know yet

Algebra is arithmetic with a placeholder. If a step ever looks strange, put a number in for the letter and see whether it still works — that test never lies.

3.1Reading an expression, and substituting

Say n is the number of tickets you buy. Then 3n + 2 means "3 times n, then add 2" — perhaps $3 a ticket plus a $2 booking fee. Writing 3n instead of 3 × n is the only new notation: a number next to a letter means multiply. To substitute, replace the letter with its value and calculate.

ExpressionIn wordsValue when n = 4
3n + 2three times n, then add 23 × 4 + 2 = 14
n − 55 less than n4 − 5 = −1
n / 2half of n4 ÷ 2 = 2
2(n + 1)add 1 to n, then double2 × 5 = 10
n times itself4 × 4 = 16

3.2Simplifying: collect like terms

  • Like terms have exactly the same letter part. 4a + 3a = 7a (four apples plus three apples).
  • Numbers on their own are their own kind: 5x + 2 + x = 6x + 2. The 2 has no x, so it stays alone.
  • Different letters do not combine: 3a + 2b is already as simple as it gets.
  • Subtracting works too: 9y − 4y = 5y.

3.3Solving equations: same thing to both sides

An equation has an equals sign, and the two sides balance. Whatever you do to one side you must do to the other, or the balance breaks. To solve, undo what was done to x, in reverse order.

BUILD: what was done to xUNDO: reverse order, same to both sides x× 2+ 311 x = 4÷ 2− 311 2x + 3 = 11 check: 2(4) + 3 = 11 ✓
Figure 3.1 — solving 2x + 3 = 11 is unwrappingThe last thing done to x was "+ 3", so undo that first: subtract 3 from both sides (2x = 8). Then undo "× 2" by dividing both sides by 2 (x = 4). Always check by substituting back: 2(4) + 3 = 11 ✓. A one-step equation is the same idea with one box: x + 5 = 12 → subtract 5 → x = 7.

3.4Number patterns and their rules

From "add 3 each time" to a rule

The pattern 5, 8, 11, 14, … goes up by 3 each step, so the rule starts with 3n. Test n = 1: 3 × 1 = 3, but the first term is 5 — 2 more. So the rule is 3n + 2. Check n = 4: 3 × 4 + 2 = 14 ✓. Now any term is instant: the 10th term is 3 × 10 + 2 = 32.

Position n123410
Term (3n + 2)58111432
Unit 4AC9M7ACoordinates · Four quadrants · Rules to lines

The Cartesian plane: every point has an address

Two number lines crossed at right angles give every point a pair of coordinates (x, y). Once you can plot points, a rule like y = x + 2 becomes a picture — and the picture is always a straight line.

4.1Reading and plotting points

x y -5-4-3-2-1 12345 54321 0 -1-2-3-4-5 Quadrant 2 (-, +)Quadrant 1 (+, +) Quadrant 3 (-, -)Quadrant 4 (+, -) 3 right 2 up A (3, 2) B (-4, 1) C (-2, -3) D (2, -4) READING A POINT (x, y) 1. Start at the origin (0, 0). 2. Move along x: right for +, left for -. 3. Then move up for + y, down for - y. A (3, 2): 3 right, then 2 up. B (-4, 1): 4 left, then 1 up. C (-2, -3): 2 left, then 3 down. D (2, -4): 2 right, then 4 down. x comes first: along the corridor, then up the stairs.
Figure 4.1 — four quadrants, four pointsThe origin is (0, 0), where the axes cross. The first number is always x (horizontal), the second is y (vertical). The signs tell you the quadrant: both positive is quadrant 1, and the numbering runs anticlockwise from there. Any point on the x-axis has y = 0; any point on the y-axis has x = 0.

4.2From a rule to a line of points

A rule like y = x + 2 is a machine: put in an x, get out a y. Make a table, plot each (x, y) pair, and look.

x−2−10123
y = x + 2012345
y = 2x−4−20246
Figure 4.2 — y = x + 2, plotted liveHover the line at x = 1 and it reads (1, 3) — exactly the table's value. Every point from the table sits on the same straight line; that is what a linear rule means. Notice the line crosses the y-axis at 2, the number being added.
Figure 4.3 — y = x + 2 and y = 2x togetherBoth are straight lines, but y = 2x is steeper because y grows twice as fast as x. Where do they cross? At (2, 4) — the one x-value where x + 2 and 2x give the same answer.
  1. To plot a rule: make a table with 3 or 4 x-values (include 0 — it is the easiest), work out each y, plot the points, rule a line through them.
  2. To check a point is on a line: substitute. Is (3, 6) on y = 2x? 2 × 3 = 6 ✓ yes. Is (3, 5)? 2 × 3 = 6, not 5, so no.
  3. Negative x-values work the same way: for y = x + 2, x = −5 gives y = −3.
Unit 5AC9M7M · AC9M7SPAngle types · Angle facts · Parallel lines · Triangles · Quadrilaterals

Angles and shapes: a handful of facts that unlock every diagram

Five angle types, four angle facts, three parallel-line pairs, and two angle sums. Learn them as a kit and almost any "find the missing angle" question becomes a two-line calculation.

5.1The five angle types

AcuteRightObtuseStraightReflex less than 90°exactly 90°between 90° and 180°exactly 180°between 180° and 360° 40°90°130°180°250°
Figure 5.1 — the five types, with an example of eachThe green arc marks the angle being measured; the small square is the special mark for a right angle. A full turn is 360°, so a reflex angle is the "long way round" — 250° is 360° − 110°.

5.2Four angle facts

Angles on a straight lineAngles at a pointVertically opposite angles 70° + 110° = 180°120° + 120° + 120° = 360°the X shape: opposite angles are equal 70° 110° 120°120°120° 53°53° 127°127° single arc = one equal pair, double arc = the other
Figure 5.2 — the angle facts you use mostAngles on a straight line add to 180°; angles around a point add to 360°; when two straight lines cross, the angles opposite each other are equal. The fourth fact is a name: two angles that add to 90° are complementary, two that add to 180° are supplementary (35° and 55° are complementary; 70° and 110° are supplementary).

5.3Parallel lines and a transversal

line 1line 2 transversal (arrowheads mean parallel) abcd efgh THREE KINDS OF PAIR Corresponding (F shape) Alternate (Z shape) Co-interior (C shape) equal: a = e, b = f, c = g, d = h equal: c = f, d = e add to 180°: c + e = 180°, d + f = 180° SIZES IN THIS FIGURE b = c = f = g = 43° a = d = e = h = 137° 43° + 137° = 180° on every straight line here
Figure 5.3 — eight angles, but only two sizesWhen a transversal crosses two parallel lines, the same two angles repeat around both crossings. Corresponding angles sit in the same position at each crossing (a and e, top-left of each) and are equal. Alternate angles are on opposite sides of the transversal, between the parallels (c and f) and are equal. Co-interior angles are on the same side, between the parallels (c and e) and add to 180°. Given one angle, you can find all eight.

5.4Triangles and quadrilaterals

The two angle sums

The three angles of any triangle add to 180°. Tear the corners off a paper triangle and put them together: they make a straight line. The four angles of any quadrilateral add to 360° — a diagonal cuts it into two triangles, 2 × 180°.

Missing angle in a triangle with 50° and 60°: 180 − 50 − 60 = 70°. Missing angle in a quadrilateral with 90°, 90° and 120°: 360 − 300 = 60°.

60°60°60° Equilateral 3 equal sides (ticks), all angles 60° Isosceles 2 equal sides (ticks), 2 equal base angles (arcs) 61°39°80° Scalene no equal sides, no equal angles: 61 + 39 + 80 = 180
Figure 5.4 — classifying triangles by their sidesMatching tick marks mean equal sides; matching arcs mean equal angles. A triangle can also be named by its angles: right-angled (one 90° angle), obtuse (one angle over 90°) or acute (all under 90°) — so a triangle can be both isosceles and right-angled.
QuadrilateralSidesAngles
Square4 equal, opposite sides parallel4 right angles
Rectangleopposite sides equal and parallel4 right angles
Rhombus4 equal, opposite sides parallelopposite angles equal (a pushed-over square)
Parallelogramopposite sides equal and parallelopposite angles equal (a pushed-over rectangle)
Trapeziumexactly one pair of parallel sidesno rule
Kitetwo pairs of adjacent equal sidesone pair of opposite angles equal
Unit 6AC9M7M · AC9M7ST · AC9M7PPerimeter · Area · Volume · Averages · Probability

Measurement, data and chance

Three area formulas and one volume rule; four ways to summarise a list of numbers; and probability as a fraction between 0 and 1. All of it is arithmetic once you pick the right formula and the right unit.

6.1Perimeter and area

Perimeter is the distance around the outside — add up the sides, answer in cm. Area is the space inside — use a formula, answer in cm² (square centimetres), because you are counting squares.

RECTANGLETRIANGLEPARALLELOGRAM length 8 cm width 5 cm A = l × w = 8 × 5 = 40 cm² P = 8 + 5 + 8 + 5 = 26 cm base 6 cm h = 4 cm A = ½ × b × h = ½ × 6 × 4 = 12 cm² dashed height: at right angles to the base base 6 cm h = 3 cm A = b × h = 6 × 3 = 18 cm² straight-up height, not the slanted side
Figure 6.1 — the three area formulasRectangle: length × width. Triangle: half of base × height (a triangle is half a rectangle). Parallelogram: base × height, where the height is the dashed line at right angles to the base, never the slanted side. The little square marks that right angle.

6.2Volume of a rectangular prism

Length × width × height

A box 4 cm × 3 cm × 2 cm: V = 4 × 3 × 2 = 24 cm³. You are counting centimetre cubes: 12 in the bottom layer, two layers. Volume is always in cubic units.

  • Units stack with the dimension: length cm, area cm², volume cm³. Writing the wrong unit loses a mark even with the right number.
  • 1 cm³ holds exactly 1 mL, so a 24 cm³ box holds 24 mL of water.

6.3Mean, median, mode and range

MeasureHow to find itFor 2, 5, 5, 8, 10
MeanAdd them all, divide by how many30 ÷ 5 = 6
MedianPut in order, take the middle one (or the average of the middle two)5
ModeThe most common value5
RangeBiggest minus smallest (how spread out)10 − 2 = 8
Even number of values

For 4, 6, 9, 11 there is no single middle. The median is the average of the two middle values: (6 + 9) ÷ 2 = 7.5. And always order the data first — the median of 9, 4, 11, 6 is still 7.5.

Goals scored per match (12 matches) 012345 goals in a match (one dot = one match) mode = 2, the tallest column
Figure 6.2 — reading a dot plotEach dot is one match, stacked above its value. Read the data back off it: 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 5, 5. Mode = 2 (tallest column). Median = the average of the 6th and 7th values = 2. Range = 5 − 0 = 5. Mean = 27 ÷ 12 = 2.25 goals per match.
Stem-and-leaf: a sorted list in disguise

Test scores 23, 27, 31, 35, 35, 42, 48, 50 written with tens as the stem and units as the leaves:

2 | 3 7    3 | 1 5 5    4 | 2 8    5 | 0    (key: 3 | 1 means 31)

Because the leaves are already in order you can read straight off it: mode 35, range 50 − 23 = 27, and with 8 scores the median is the average of the 4th and 5th: (35 + 35) ÷ 2 = 35.

6.4Probability of a single event

greenyellowgreenblueyellow P(event) = favourable outcomes ÷ total outcomes 5 equal sectors, so the total is 5 P(green) = 2/5 = 0.4 P(blue) = 1/5 = 0.2 P(yellow) = 2/5 = 0.4 P(red) = 0 (impossible) P(a colour) = 1 (certain) the three add to 1 — one of them must happen black needle = the pointer that is spun
Figure 6.3 — probability is a fractionCount the outcomes you want, divide by the total number of equally likely outcomes. The answer is always between 0 (impossible) and 1 (certain), and the probabilities of all the outcomes add to 1. A fair die: P(6) = 1/6; P(even) = 3/6 = 1/2; P(less than 3) = 2/6 = 1/3. A pack of 52 cards: P(a heart) = 13/52 = 1/4.
Start hereYear 7 EnglishLanguage · Literature · Literacy

How texts are built — and how to build your own.

Four units: the shape every story shares, the toolbox of words and sentences writers reach for, what makes a poem a poem, and how to persuade or inform a reader in a paragraph that actually works — built from the Year 7 English language, literature and literacy descriptions.

The mapFour units

  1. How stories work — the five stages of a narrative, character, setting, point of view, and showing instead of telling.
  2. The writer's toolbox — simile, metaphor and friends; the four big word classes; three sentence types; punctuating speech.
  3. Poetry — rhyme, rhythm, stanzas, repetition and sound, with an original poem to pull apart.
  4. Persuade and inform — purpose and audience, the persuasive techniques, the TEEL paragraph, and how informative texts are laid out.
What Year 7 English is actually assessed on

Two things. Can you read a text and say how it works — name the stage of the story, the language device, the persuasive trick — and can you write clearly on purpose: a story with a shape, a paragraph with a point, sentences that are punctuated so a stranger can read them?

Unit 1LiteratureStructure · Character · Point of view

How stories work

A picture book, a film, a game's storyline and a novel all climb the same mountain: something is normal, something goes wrong, it gets worse, it comes to a head, and it settles. Learn the shape and you can find it in anything you read — and use it in anything you write.

1.1The narrative mountain

Orientation Complication Rising action Climax Resolution who, where, when the problem arrives the stakes grow the biggest moment tension falls a new normal The green line is the story's tension: it climbs from the complication to the climax, then comes down to the resolution.
Figure 1.1 — the narrative mountainFive stages. Orientation: meet the characters, the setting and the normal world. Complication: a problem breaks that normal. Rising action: the character tries to fix it and things get harder. Climax: the biggest moment, where the problem must be faced. Resolution: the problem is settled and we see what has changed.

Here is the whole shape in one tiny story, stage by stage:

StageThe Missing Key
OrientationEvery morning before school, Jai unlocked the gate of the community garden and watered the seedlings.
ComplicationOne Tuesday the key was not on its hook.
Rising actionHe emptied his bag, retraced his steps to the bus stop, and even dug through the compost. Meanwhile the sun climbed higher and the seedlings began to wilt.
ClimaxThen he saw a glint in the mud under the tap: someone had dropped the key while filling a can.
ResolutionHe soaked the seedlings just in time, and from that day the key lived on a string around his neck.

1.2Character and setting

  • The setting is where and when the story happens — a flooded town in 1974, a space station, a Year 7 classroom on the last day of term. Setting sets the mood and limits what can happen.
  • A character is anyone the story is about. The main character (protagonist) has the problem; whatever gets in their way — a person, a storm, their own fear — is the obstacle.
  • We learn about characters from four clues: what they say, what they do, what they think, and how others react to them.

1.3Show, don't tell

Telling hands the reader a label. Showing hands them the clues and lets them work it out — which is why it feels more real.

TellingShowing
Maya was nervous.Maya's hands would not keep still. She read the first line of her speech four times and still could not remember what it said.
The room was messy.Socks hung from the lamp. Somewhere under the pizza boxes, a phone was ringing.
Reading the clues

"The bus was late again. Priya checked her phone for the fifth time, then kicked the bus-stop pole." The writer never says frustrated — but the fifth check and the kick show it. In a test, quote the action and name the feeling it shows.

1.4Point of view: who is telling this?

Point of viewPronounsThe same moment
First person — a character tells their own storyI, me, my, weI gripped the rope and told myself not to look down.
Third person — a narrator outside the story tells ithe, she, they, theirSam gripped the rope and told himself not to look down.
  • First person feels close — we are inside one head — but we only know what that character knows.
  • Third person can step back and follow more than one character, and can tell us things the characters don't know.
  • The choice changes the story. A mystery told by the detective keeps different secrets from one told by an outside narrator.
Unit 2LanguageDevices · Word classes · Sentences

The writer's toolbox

Writers don't have magic; they have tools. Some make pictures in the reader's head, some control the speed of a sentence, and some just stop the reader getting lost. This unit names the tools so you can spot them in a text and pick them up yourself.

2.1Language devices: pictures made of words

DeviceWhat it doesExample
SimileCompares two things using like or asThe puppy's ears were as soft as velvet.
MetaphorSays one thing is another — no like or asThe playground was a battlefield at lunchtime.
PersonificationGives a non-human thing human feelings or actionsThe old house groaned and shivered in the wind.
AlliterationRepeats the same starting sound in nearby wordsBig brown bears bumbled by.
OnomatopoeiaA word that sounds like the noise it namesThe fireworks fizzed, whizzed and banged.
ImageryDetail aimed at the senses — sight, sound, smell, taste, touchHot bitumen, the smell of sunscreen, a magpie warbling somewhere.
HyperboleExaggeration on purpose, for effectMy bag weighs about a thousand kilos.
Simile or metaphor? The one-second test

Look for like or as. "The crowd roared like a jet engine" is a simile. "The crowd was a jet engine at full power" is a metaphor. Same picture, different tool.

2.2The four big word classes

Word classIts jobIn a sentence
NounNames a person, place, thing or ideaThe surfer waited for a wave.
VerbThe action, or the state of beingThe surfer paddled; the wave was enormous.
AdjectiveDescribes a nounThe enormous wave; the rusty gate.
AdverbDescribes a verb — how, when, where (many end in -ly)The surfer paddled quickly; she arrived late.
  • A word's class depends on the job it does in that sentence. "A light rain" (adjective) · "turn on the light" (noun) · "light the candle" (verb).
  • Strong writing usually swaps a weak verb plus an adverb for one precise verb: "walked slowly" → "trudged"; "said loudly" → "shouted".

2.3Three sentence types

SIMPLE one main clause main clause The kettle boiled. COMPOUND main + main main clause The kettle boiled, and joining word main clause the toast popped up. COMPLEX subordinate + main subordinate clause Because the pool was closed, main clause we went to the park. A main clause can stand alone as a sentence. A subordinate clause cannot — it needs a main clause to lean on.
Figure 2.1 — simple, compound, complexA clause is a group of words with a subject and a verb. A main clause makes sense by itself. A subordinate clause begins with a word like because, when, although, if and leaves you waiting for the rest. Compound sentences join two main clauses with and, but, or, so; complex sentences attach a subordinate clause to a main one.
Why it matters

Short simple sentences hit hard: "The lights went out." Longer compound and complex sentences carry more information and slow the pace. A whole paragraph of one type gets dull — mix them on purpose.

2.4Punctuating what people say

  1. Speech marks around the spoken words only: "Watch out!" shouted Mia.
  2. Punctuation before the closing speech mark, inside it: a comma if a speech tag follows ("It's over here," said Tom), otherwise a full stop, question mark or exclamation mark.
  3. The speech tag stays lower-case unless it starts with a name: …" shouted Mia.
  4. New speaker, new line. Each time a different person speaks, start a new paragraph.
Unit 3LiteratureRhyme · Rhythm · Sound

Poetry: what makes a poem a poem

A poem is a text where the sound and the shape carry meaning as much as the words do. Lines end where the poet chooses, sounds repeat on purpose, and a beat runs underneath. This unit gives you the names for those choices and a short poem to test them on.

3.1The poet's terms

TermMeaning
StanzaA group of lines set apart by a blank line — a poem's paragraph. Four lines make a quatrain; two rhyming lines make a couplet.
RhymeWords that end with the same sound: grey / tray, blue / new.
Rhyme schemeThe pattern of rhymes at line ends, written in letters. Lines that rhyme share a letter: ABAB, AABB.
RhythmThe beat, made by stressed and unstressed syllables: the SKY turned BLACK at HALF past THREE — da-DUM, da-DUM.
RepetitionThe same word, phrase or line used more than once, so it sticks and builds a beat.
Sound devicesAlliteration and onomatopoeia (from Unit 2) — in poetry they are everywhere, because poems are meant to be heard.
Free versePoetry with no regular rhyme or beat — the lines are shaped by sense and breath instead.

3.2Read this: an original poem

After the Storm

The sky turned black at half past three,
the wind chased clouds of grey,
and rain came drumming down on me
like marbles on a tray.

Then just as fast the sky turned blue,
the gutters gurgled, brown;
the steaming footpath shone like new
across the sleepy town.

What to look forIn "After the Storm"Effect
StructureTwo stanzas of four lines (quatrains): storm, then calmThe shape mirrors the event — the break between stanzas is the moment the rain stops
Rhyme schemethree / grey / me / tray → ABAB, and again in stanza two (blue / brown / new / town)Rhyme makes the lines feel finished and easy to remember
RhythmLines swap between four beats and three: the SKY turned BLACK at HALF past THREE / the WIND chased CLOUDS of GREYA bouncing, song-like beat — the same one many nursery rhymes use
Simile"like marbles on a tray"You hear the hard, bouncing rain
Personification"the wind chased clouds"The weather becomes a character with intentions
Onomatopoeia & alliteration"drumming", "gutters gurgled"The words make the noise of the storm; the repeated g sounds thick and wet
Imagery"the steaming footpath shone like new"Sight and touch — you can feel the heat coming back
How to write about a poem

Name the device, quote the words, then say the effect: "The simile 'like marbles on a tray' makes the rain sound hard and noisy, so the reader hears the storm rather than just seeing it." Device → quote → effect, every time.

3.3Write your own

  1. Pick one small moment — a storm, a lost sock, the last bell — not a whole day.
  2. Choose a shape: two quatrains with an ABAB scheme, or free verse if you'd rather shape the lines by sense.
  3. Put one picture in every line and at least one sound device in every stanza.
  4. Read it aloud. If a line trips your tongue, the rhythm is wrong — change a word, not the idea.
Unit 4LiteracyPurpose · Techniques · TEEL

Persuade and inform

Not every text is a story. A poster, a speech at assembly, a science explanation and a letter to the council each have a job to do and a reader to do it for. Work out the job and the reader first, and the right techniques choose themselves.

4.1Purpose and audience

  • Purpose is what the text is for. The three big ones: to persuade (change what the reader thinks or does), to inform (give the reader facts they can use), to entertain (tell a story, make them laugh).
  • Audience is who it is for. A letter to the principal, a talk to Year 3s and a text to a friend about the same problem use different words, different examples and a different tone.
  • Ask both questions before you write a word: what do I want this reader to think or do by the end?

4.2Persuasive techniques

TechniqueWhat it does to the readerExample
Rhetorical questionA question with an obvious answer — the reader answers it silently and agreesWouldn't you rather breathe clean air?
Emotive languageWords picked to stir feelingsHelpless, terrified kittens are dumped every single week.
Facts and statisticsNumbers and facts make the claim feel provenStudents who eat breakfast score 15% higher on tests.
Rule of threeThree items in a row feel complete and stick in the memoryFaster, fairer, friendlier.
Personal pronounsWe, our, you pull the reader onto the writer's sideWe all want our school to be safe.
RepetitionSaying the key idea again so it cannot be missedMore shade. More seats. More bins.
Spot it, then say what it does

"Who could say no to a longer lunch break?" — a rhetorical question, and the marks come from finishing the sentence: it makes the reader answer 'nobody' in their head, so they agree before the argument has even started.

4.3The TEEL paragraph

T TOPIC SENTENCE — state the point this paragraph makes Our school should make lunch fifteen minutes longer. E EVIDENCE — a fact, quote or example that backs it up Last term's survey found that 82% of students skip part of their meal to reach the oval in time. E EXPLAIN — say how the evidence proves the point This shows the break is too short to both eat properly and be active, which hurts concentration in afternoon classes. L LINK — tie it back to the question So a longer lunch would help students learn, not just play.
Figure 4.1 — the anatomy of a TEEL paragraphTopic sentence, Evidence, Explain, Link. Read the four example sentences top to bottom and they form one complete paragraph. The step most people skip is the Explain: the evidence never speaks for itself — you have to say what it proves.

4.4Informative texts: built to be found

An informative text — a science explanation, a how-to, a report — is not read from start to finish. It is searched. So it is built to help a reader find things fast:

  • Headings and subheadings break the text into sections, so you can jump straight to the part you need.
  • Diagrams, tables and captions show what would take a paragraph to say. Every figure gets a caption telling you what you are looking at.
  • Topic sentences start each paragraph with its main idea; bold key terms flag the vocabulary; a glossary defines it.
  • The tone is neutral and precise: facts, present tense, no "I think" and no emotive words — the opposite of a persuasive text.
Same topic, two purposes

Inform: "Magpies swoop for about six weeks in spring, while chicks are in the nest." Persuade: "Every spring, terrified students are ambushed on their way to school — when will the council act?" Same bird. One text gives you facts; the other wants something from you.

Start hereYear 7 HistoryThe ancient world, c. 60 000 BCE – c. 650 CE

Stone tools, pharaohs and the Roman roads.

Four units from the longest stretch of human history: how historians and archaeologists actually find out about the past, the oldest continuous cultures on Earth here in Australia, the civilisation the Nile made possible, and the two Mediterranean powers whose ideas — democracy, theatre, the alphabet, concrete — are still all around you.

The mapFour units

  1. How historians work — sources and evidence, archaeology, dates and centuries, and telling fact from opinion.
  2. Deep time: Australia's First Peoples — at least 65 000 years of continuous culture, Country, Songlines and technology.
  3. Ancient Egypt — the Nile, the pharaoh, the social pyramid, hieroglyphs, and beliefs about the afterlife.
  4. Ancient Greece and Rome — Athens and Sparta, the Olympics, Rome from republic to empire, and why it fell.
What Year 7 History is actually assessed on

Three skills more than three hundred facts: putting events in chronological order (with BCE and CE the right way round), telling a primary source from a secondary one and saying what it is evidence of, and explaining why a society was organised the way it was — why the Nile made Egypt, why Sparta trained soldiers, why Rome built roads.

Unit 1SkillsSources · Evidence · Chronology

How historians work

Nobody alive saw ancient Egypt. Everything we know about it comes from things that survived — a tomb wall, a broken pot, a tax record on papyrus — and from people who asked those things careful questions. History is not a list of facts; it is the detective work that produces them.

1.1Primary and secondary sources

Kind of sourceWhat it isExamples
Primary sourceSomething made at the time being studied, or by someone who was thereA tomb painting, a Roman coin, a stone tool, a letter from a soldier, the Rosetta Stone
Secondary sourceSomething made later, by someone studying the time, usually using primary sourcesA textbook, a documentary, a historian's book, a museum label
  • Primary sources are closer to the event — but not automatically true. A pharaoh's monument boasts about victories; it is not going to mention defeats.
  • So historians ask every source the same questions: who made it, when, why, for whom — and what it can't tell us.
  • Written sources only begin about 5 000 years ago. For everything before that — most of human history — the sources are objects and places, and the experts are archaeologists.

1.2From source to evidence

SOURCE something left over from the past a coin, a tomb painting, a letter ask a question QUESTION what do I want to find out? e.g. what did farmers eat? examine the source ANALYSIS who made it, when, and why? what can it and can't it tell me? what it proves EVIDENCE what the source shows about my question weigh it all up INTERPRETATION the historian's conclusion — which another historian may dispute A source only becomes evidence when a historian asks a question of it. The same source can be evidence for many different questions.
Figure 1.1 — how a source becomes evidenceA tomb painting of farmers cutting wheat is just a source. Ask "what did Egyptians eat?" and it becomes evidence that they grew grain. Ask "who did the work?" and the same painting is evidence about labour. The historian's final answer is an interpretation — the best conclusion from the evidence so far, open to change if new evidence turns up.

1.3Archaeology: reading objects

  • An artefact is any object made or used by people — a spear point, a bead, a cooking hearth. Where it was found matters as much as what it is, so archaeologists dig slowly and record every layer.
  • Deeper usually means older: soil builds up over time, so the layers of a site are a rough calendar. This is called stratigraphy.
  • Carbon dating gives actual ages. Everything alive takes in a tiny amount of a radioactive form of carbon (carbon-14). When it dies, that carbon slowly breaks down at a known rate — so measuring how much is left in bone, charcoal or shell tells scientists roughly how long ago it died. It works back to about 50 000 years; older sites need other methods, such as dating the sand grains around a find.
  • That is why historians say "about 40 000 years" or "at least 65 000 years": scientific dates come with a range, and a new dig can push them back.

1.4Dates, centuries and timelines

c. 63 000 BCE c. 3100 BCE 776 BCE c. 508 BCE 27 BCE 1 CE 476 CE c. 650 CE First Peoples in Australia at least 65 000 years ago Egypt united under one pharaoh first recorded Olympic Games democracy begins in Athens Augustus becomes the first Roman emperor the Common Era begins — no year 0 last emperor in the West is removed the ancient period ends; Year 8 begins Spacing not to scale. BCE years count DOWN towards 1 CE; CE years count UP from it. There is no year zero.
Figure 1.2 — the ancient world on one lineDates are counted from a fixed point: year 1 of the Common Era (CE). Everything before it is BCE, Before the Common Era, and BCE numbers get bigger the further back you go — 776 BCE is earlier than 508 BCE. (You may also see the older labels BC and AD, which mean the same years.) The first tick is drawn at about 63 000 BCE because "65 000 years ago" counts from today, not from year 1.
WordHow longWorking it out
Decade10 yearsthe 2020s
Century100 yearsCenturies count from year 1, so the years 1–100 CE are the 1st century. Rule of thumb: drop the last two digits and add 1 — 650 CE is in the 7th century CE; 1250 BCE is in the 13th century BCE.
Millennium1 000 yearsThe pyramids at Giza were built about 4 500 years ago — four and a half millennia.

1.5Fact, opinion, interpretation

What it isExample
FactSomething that can be checked against evidenceThe Great Pyramid was built about 4 500 years ago.
OpinionA personal view that can't be proved either wayThe Great Pyramid is the most beautiful building ever made.
InterpretationA historian's conclusion built from evidence — reasoned, but open to debateThe pyramids were built by paid workers, not slaves — supported by the workers' village and bakeries found beside them.
The question that always comes up

"Is this source reliable?" Never just say yes or no. Say who made it and why, what that means they might leave out or exaggerate, and what it is still useful as evidence of. A pharaoh's boastful monument is unreliable about the battle — but excellent evidence of how pharaohs wanted to be seen.

Unit 2Deep timeAustralia's First Peoples

Deep time: at least 65 000 years on this continent

When the pyramids were new, Aboriginal peoples had already been living, trading, burying their dead and managing the land here for tens of thousands of years. Aboriginal and Torres Strait Islander peoples hold the oldest continuous cultures on Earth — and they are not ancient history: those cultures are alive today.

2.1The evidence for deep time

SiteWhereWhat was foundWhat it is evidence of
MadjedbebeA rock shelter in Arnhem Land, Northern Territory, on Mirarr CountryStone tools, ground ochre and some of the world's oldest ground-edge axe heads, in layers dated to at least 65 000 yearsPeople were living in northern Australia at least 65 000 years ago — the oldest firm date on the continent so far
Lake MungoThe dry Willandra Lakes, south-west New South WalesThe remains of Mungo Lady and Mungo Man, buried about 40 000 years ago — Mungo Lady is the world's oldest known cremationComplex beliefs and ceremony around death, deep in the Ice Age
Budj BimGunditjmara Country, south-west VictoriaStone channels, weirs and ponds for trapping and farming eels, about 6 600 years old, beside the remains of stone housesPermanent settlement and engineered food production — older than the pyramids or Stonehenge
  • The dates come from science — carbon dating for the younger sites, dating the sand grains around the tools at Madjedbebe — which is why they are given as "about" and "at least".
  • People arrived by sea, during the Ice Age, when lower sea levels joined Australia to New Guinea and shrank the water gaps from South-East Asia. It still needed boats: the crossing was never dry land.
  • These are not the only sources. Aboriginal and Torres Strait Islander peoples' own oral histories record events like the rising of the seas at the end of the Ice Age — stories that match what geologists have found.

2.2Country, Songlines and oral history

  • Country, with a capital C, is more than land. It is the land, waters and sky of a particular people, with all its plants, animals, stories and ancestors — something people belong to and are responsible for, rather than something they own. There are hundreds of different Countries, languages and nations across the continent, which is why we say Aboriginal and Torres Strait Islander peoples, plural.
  • Songlines are routes across Country recorded in songs, dances and stories. Sung in order, they carry directions to water and food, the law of the land, and the story of how the ancestors made it. Some cross the whole continent, passing from one language group to the next.
  • Oral history is knowledge passed on by speaking, singing and showing, generation to generation, with strict rules about who may tell what. It is a primary source in its own right, and it has proved accurate over thousands of years.

2.3Technology and managing the land

TechnologyHow it worked
Fish and eel trapsAt Budj Bim, channels and stone weirs guided eels into ponds and woven baskets, so they could be held live and harvested all year. Stone fish traps on rivers and coasts elsewhere used the tide the same way.
BoomerangsCurved throwing sticks. The returning kind is the famous one, but most were heavier hunting and fighting boomerangs that flew straight; the oldest found is about 10 000 years old.
Grinding stonesFlat stones for grinding seeds into flour, which was baked into bread — some of the earliest bread-making anywhere. Ground-edge axes, sharpened on stone, are among the world's oldest.
Cultural burningSmall, cool fires lit deliberately in the right season, clearing old grass so fresh growth drew in kangaroos, keeping paths open and preventing huge bushfires. Sometimes called fire-stick farming.
Getting the language right

Say Aboriginal and Torres Strait Islander peoples (plural: many nations), or name the specific people — the Gunditjmara at Budj Bim, the Mirarr at Madjedbebe. Write about cultures in the present tense where they continue: Songlines are sung today. And say "at least 65 000 years", not "65 000 years" — the evidence gives a minimum, not a start date.

Unit 3Ancient Egyptc. 3100 BCE – 30 BCE

Ancient Egypt: the gift of the Nile

Egypt is desert — except for a green ribbon a few kilometres wide either side of one river. Every year the Nile flooded, left a layer of rich black mud, and went back down. That one fact fed a civilisation for three thousand years, paid for pyramids, and shaped what Egyptians believed happened after death.

3.1The river that made a country

  • Each year from about July the Nile rose and spread over the fields: the inundation. When it fell in October it left fresh black silt, so the same fields could be farmed every year without wearing out.
  • Farmers planted wheat and barley in the mud, dug channels to carry water further, and harvested in spring. Surplus grain was stored, taxed and used to feed the workers who built temples and tombs.
  • The river was also the highway: boats carried stone, grain and people north with the current and south with the wind. Egypt's two halves, Upper (south) and Lower (north), were joined into one kingdom under one ruler in about 3100 BCE.
  • The Greek historian Herodotus called Egypt "the gift of the Nile" — and the Egyptians agreed: they called their farmland Kemet, "the Black Land", and the desert beyond it Deshret, "the Red Land".

3.2The social pyramid

PHARAOH king and living god VIZIER, NOBLES & HIGH PRIESTS ran the government and the temples SCRIBES & SOLDIERS could read and write; defended and expanded Egypt CRAFTSPEOPLE & MERCHANTS potters, jewellers, stonemasons, traders FARMERS & LABOURERS most Egyptians — grew the food and built the monuments ENSLAVED PEOPLE mostly prisoners of war — the fewest rights MORE POWER fewer people MORE PEOPLE less freedom
Figure 3.1 — the Egyptian social pyramidThe pharaoh owned all the land and was believed to be a living god, the link between Egypt and the gods. The vizier ran the government for him. Scribes mattered because almost nobody else could read: they recorded taxes, harvests and laws. The tiers are not to scale — farmers were the vast majority. Historians now think the pyramids were built mostly by farmers working during the flood, when the fields were under water, and paid in bread and beer — not by slaves.
Figure 3.2 — the gift of the NileAlmost everything on this map sits within a few kilometres of the river, because that is where the black silt and the water were. Drag to follow the Nile from Aswan to the delta.

3.3Writing: hieroglyphs and the Rosetta Stone

  • Hieroglyphs are Egypt's picture-writing: several hundred signs, some standing for sounds and some for whole words, carved on temples and tombs and painted on papyrus, a paper-like sheet made from Nile reeds.
  • After Egypt became part of the Roman world the skill of reading them died out, and for about 1 400 years nobody on Earth could read them.
  • In 1799 French soldiers near the town of Rosetta found a stone carved with the same decree in three scripts: hieroglyphs, everyday Egyptian, and Greek. Scholars could read the Greek. Using it as a key, Jean-François Champollion cracked the hieroglyphs in 1822 — and Egypt's own words could be read again.

3.4Death, mummies and the afterlife

Portrait of Tutankhamun
Tutankhamunc. 1341–1323 BCE
  1. The belief. Egyptians thought a person's spirit lived on after death — but needed its body to return to. So the body had to be preserved.
  2. Mummification. Embalmers removed the internal organs (the heart was left in place, as the seat of thought), dried the body for about 40 days in a natural salt called natron, then wrapped it in linen with protective charms. The whole process took about 70 days.
  3. The tomb. The mummy was buried with food, furniture, tools and painted walls — everything the spirit would need. For early pharaohs that tomb was a pyramid; the largest, at Giza, was built about 4 500 years ago from more than two million blocks. Later pharaohs were hidden in rock-cut tombs in the Valley of the Kings, where Tutankhamun's was found almost untouched in 1922.
  4. The judgement. The dead person's heart was weighed against a feather, the symbol of truth. A heart lighter than the feather meant a good life — and entry to a paradise that looked a lot like Egypt in flood season.
Everyday life, briefly

Most Egyptians lived in mud-brick houses, ate bread, onions and beer, and wore linen. Children of scribes went to school; most others learned their parents' trade. Women could own property, run businesses and go to court — unusual in the ancient world. Egypt stayed independent, with breaks, for about three thousand years, until it became a Roman province after the death of Cleopatra in 30 BCE.

Unit 4Greece & RomeDemocracy · Republic · Empire

Ancient Greece and Rome

Greece was never one country: it was hundreds of small city-states that shared a language and gods but ran themselves in wildly different ways. Rome started as one of those small cities and ended up ruling everything from Scotland to Egypt. Between them they invented, or perfected, an astonishing amount of the world you live in.

4.1Athens and Sparta: two ways to run a city

Figure 4.1 — the Greek worldAthens and Sparta were only about 150 km apart, yet they ran their cities in opposite ways. Olympia, Delphi, Marathon and Thermopylae are the four other places the exam expects you to know.
Figure 4.2 — Rome, from a village on the Tiber to an empireFour of the eight steps happen in Rome itself, so their markers sit side by side. Notice how long each stage lasted: the Republic ran for nearly five hundred years before Caesar broke it.
AthensSparta
GovernmentDemocracy from about 508 BCE — citizens met in the Assembly and voted on laws and war directlyTwo kings, a council of elders, and a small group of officials — ordinary Spartans had little say
Who countedOnly free men over 18 born to Athenian parents — not women, foreigners or slaves, who together were most of the populationA small warrior class ruled over the helots, a conquered people forced to farm for them
ChildhoodBoys of citizens learned reading, music and athletics; girls stayed homeBoys left home at seven for brutal military training; girls also trained hard, to bear strong soldiers
Famous forPhilosophy, theatre, the Parthenon, a strong navy and trade across the Aegean SeaThe best army in Greece — and the 300 who held the pass at Thermopylae in 480 BCE
  • The Olympic Games were held every four years at Olympia, in honour of the god Zeus, from 776 BCE (the first recorded games). Wars were paused so athletes from rival cities could travel safely. Winners got a wreath of olive leaves — and hero status back home.
  • The Greek legacy: the first plays — tragedy and comedy — performed in open-air theatres; philosophy, with Socrates, Plato and Aristotle asking how to live and think; the first alphabet with vowels, which became the Roman alphabet you are reading now; and the idea that ordinary citizens can govern themselves.

4.2Rome: from republic to empire

  1. Kingdom, 753–509 BCE. By legend Rome was founded by Romulus in 753 BCE and ruled by kings.
  2. Republic, 509–27 BCE. The Romans threw out their last king and swore never to have another. Instead, two consuls were elected each year, advised by the Senate of wealthy families. The rich patricians and ordinary plebeians fought for centuries over who got a say. Meanwhile Rome's citizen army conquered Italy, then defeated Carthage, then Greece.
  3. Civil wars. Success made generals too powerful. Julius Caesar conquered Gaul, marched on Rome, and made himself dictator for life — and was stabbed to death by senators in 44 BCE.
  4. Empire, 27 BCE – 476 CE. Caesar's heir won the wars that followed and in 27 BCE became Augustus, the first emperor. The republic's titles stayed; the power was now one man's. At its largest the empire ringed the whole Mediterranean, from Britain to Egypt.

4.3Roman engineering and Roman society

EngineeringWhat it did
RoadsStraight, layered, paved — about 80 000 km of them — so legions and messages could move fast. Many modern European roads still follow them.
AqueductsChannels sloping gently for tens of kilometres, carrying spring water into cities for fountains, baths and toilets.
ConcreteMade with volcanic ash, it set hard even under water — harbours, domes and the Colosseum (opened 80 CE) are still standing because of it.
  • Citizens had rights: to vote (under the republic), to a trial, to own property. Citizenship spread slowly across the empire until, in 212 CE, almost every free person in it was a Roman citizen.
  • Slaves had none. Prisoners of war and their children were bought and sold to work farms, mines and households; some were trained as gladiators to fight in the arena. Slaves were a large part of the population, and revolts — the most famous led by Spartacus in 73–71 BCE — were crushed.
  • Roman cities had apartment blocks, public baths, markets, theatres and free grain for the poor — and, for the rich, villas with heated floors.

4.4Why Rome fell — briefly

The Western Roman Empire ended in 476 CE, when a Germanic general removed the last emperor in Rome. Historians point to several causes working together, not one: the empire had grown too big and expensive to defend; invasions by Germanic peoples pushed across the frontiers; a string of weak, short-lived emperors fought each other for the throne; and the empire had been split into western and eastern halves, so the richer East could not, or would not, save the West. The eastern half carried on for another thousand years — which is where Year 8's medieval world begins.

The legacy question

"What did the Greeks and Romans leave us?" Have three concrete examples ready for each. Greece: democracy, theatre, the alphabet (or philosophy, the Olympics). Rome: roads, concrete and aqueducts, the Latin behind half of English (or the calendar, law, citizenship). Then say how each one reaches you today — that is the mark.

Start hereYear 7 GeographyWater in the world · Place and liveability

Where the water is, and where people want to live.

Four units in two halves. First, water: where it is on Earth, how a river collects it, why some places run short and what Australians do about it. Then liveability: what makes a place a good place to live, how that is measured, and how it can be improved — including by you, with a clipboard and a map.

The mapFour units

  1. Water as a resource — the world's water, catchments and rivers, groundwater, and how Australians use water.
  2. Water scarcity and hazards — running short, drought and flood, how water is managed, and what water means on Country.
  3. Liveability — what makes a place good to live in, how cities are ranked, and how a city, a country town and a remote community compare.
  4. Improving liveability — planning, green space, transport, what young people want, and a fieldwork project of your own.
What Year 7 Geography is actually assessed on

Describing where water is and how it moves, explaining why it is scarce in some places and how it is managed — and explaining what makes a place liveable and how liveability can be improved. Every answer needs an Australian example and, when you can, one from another country. Maps and graphs are marked on BOLTSS.

Unit 1Water in the worldOceans · Catchments · Groundwater

Water as a resource: where it is and how we use it

Earth looks like a water planet from space, and it is — but almost none of that water is the kind you can drink. Geography starts with the question of where the useful water actually is, and who gets to use it.

1.1Where the world's water is

A resource is anything people use to meet a need. Water is the most important one there is: no water, no drinking, no crops, no showers, no factories. The catch is how it is shared out.

ALL THE WATER ON EARTH SALT WATER IN THE OCEANS — about 97% fresh water — about 3% the fresh 3%, stretched out to fill the bar below frozen in ice caps and glaciers — about 69% groundwater — about 30% rivers, lakes, wetlands and the air — under 1% Nearly all the water people actually use comes from that last sliver, plus the groundwater we can reach with bores.
Figure 1.1 — a lot of water, very little of it usefulAbout 97% of Earth's water is salt water. Of the roughly 3% that is fresh, about two-thirds is locked up as ice and most of the rest is underground. The rivers and lakes that every city, farm and town depends on hold less than 1% of the fresh water — a tiny share doing all the work.

1.2The water cycle, the geographer's way

  • The Sun heats the sea and the land; water evaporates into the air, cools and condenses into cloud, then falls as precipitation (rain, hail, snow).
  • What happens next is the part geographers care about. Rain that lands on the ground either runs off the surface into creeks and rivers, soaks in (infiltration) to become groundwater, or evaporates straight back up — in Australia, most of it evaporates.
  • Because the cycle never stops, water is a renewable resource. But it is renewed unevenly: some places get metres of rain a year, some get almost none. Australia is the driest inhabited continent — only Antarctica gets less.

1.3Catchments and rivers

A catchment (also called a river basin) is all the land that drains into the same river. Its edge is the high ground — the ridge line. Rain that lands on one side of the ridge ends up in one river; rain on the other side ends up in another.

the sea salt water floodplain (flat land that floods) catchment boundary — the ridge line: rain that lands inside it drains to this river wetland town (drinking water) farms (irrigation) source creek tributary tributary dam wall reservoir (stored water) main river river mouth (estuary) Everything inside the dashed line is one catchment: every drop of rain that falls there drains to the same river mouth.
Figure 1.2 — anatomy of a catchmentWater starts at the source in the hills, collects in creeks and tributaries that join the main river, and finishes at the mouth. Along the way people take it: a dam stores it in a reservoir, a town drinks it, farms irrigate with it. Whatever happens upstream — a factory spill, a new dam, a drought — is felt by everyone downstream.
Catchment wordWhat it means
SourceWhere a river begins, usually in high ground
TributaryA smaller river or creek that flows into a bigger one
FloodplainThe flat land beside a river that it spreads across in a flood
WetlandLand that is wet for most of the year — a natural filter and a home for birds and fish
MouthWhere the river reaches the sea or a lake; an estuary is a mouth where fresh and salt water mix
Upstream / downstreamTowards the source / towards the mouth — water and pollution only ever travel downstream
Australia's biggest catchment: the Murray–Darling Basin

The Murray–Darling Basin covers about one million square kilometres — roughly 14% of Australia, across Queensland, New South Wales, the ACT, Victoria and South Australia. The Murray is Australia's longest river at about 2,500 km. The basin grows around 40% of Australia's food and supplies drinking water to more than two million people living in it, plus Adelaide at the very end. Because five states share the one river system, every state wants water and the last one in line — South Australia — gets whatever is left. That argument is the reason the Basin Plan exists.

1.4Groundwater: the water you can't see

  • Rain that soaks into the ground fills the tiny gaps in sand, gravel and porous rock. A layer of rock that holds water like this is an aquifer, and the water in it is groundwater. People reach it by drilling a bore.
  • The Great Artesian Basin lies under about 22% of Australia — most of Queensland and parts of NSW, SA and the NT. It is one of the largest groundwater stores in the world. The water is under pressure, so in many places it rises up a bore by itself (that is what artesian means). Some of it fell as rain thousands of years ago.
  • Groundwater is what lets cattle stations, towns and mines exist in the outback. But it refills very slowly — pump it faster than rain replaces it and the level drops for good.

1.5How Australians use water

Who uses itShare of Australia's water useWhat for
FarmingThe biggest user by far — well over halfIrrigating cotton, rice, fruit, vegetables, pasture for cattle and dairy
HouseholdsAbout one-tenthShowers, toilets, washing, gardens, drinking and cooking
Industry and miningThe restMaking things, cooling machines, washing minerals
  • An Australian uses roughly 150–200 litres a day at home (approx.). The biggest slices are the shower, the toilet, the washing machine and the garden — drinking and cooking are tiny by comparison.
  • Farming uses the most because growing food takes staggering amounts: about a thousand litres of water for a single litre of milk, once you count what the cow eats and drinks (approx.).
Unit 2Water in the worldScarcity · Drought · Flood · Management

Water scarcity and hazards: too little, too much

About two billion people cannot get safe drinking water at home. Meanwhile Australia swings between years when the rivers stop and years when they swallow whole towns. Both problems have the same answer: manage the water you have.

2.1Two kinds of scarcity

  • Water scarcity means not having enough clean water for people's needs. It comes in two flavours, and the difference matters in every exam answer.
  • Physical scarcity: the water simply isn't there. Deserts, places in a long drought, rivers that run dry every summer. Central Australia and much of the Middle East are physically short of water.
  • Economic scarcity: the water exists — there may even be a river nearby — but people can't afford the wells, pipes, pumps and treatment plants to make it safe and bring it home. This is the story across much of sub-Saharan Africa. Economic scarcity is fixed with money and engineering, not rain.
  • Around 2 billion people lack safely managed drinking water, and unsafe water is one of the biggest killers of young children in the world. It is a solvable problem — it is being solved, slowly.

2.2Drought and flood in Australia

DroughtFlood
What it isA long period with much less rain than normal, so rivers, dams and soil dry outWater covering land that is usually dry — a river bursting its banks, or rain falling faster than drains can cope
Big Australian examplesThe Millennium Drought, 1997–2009, across south-east Australia; the Murray stopped reaching the seaBrisbane, January 2011: thousands of homes under water; Lismore, February 2022: the river reached a record 14.4 m
ImpactsFailed crops, dead stock, dust storms, towns trucking in water, farming families leaving the landDrowning, destroyed homes and roads, mud and disease afterwards, months of clean-up
ResponsesWater restrictions, drought relief for farmers, new dams and desalination plants, drought-tolerant cropsWarnings and evacuations, levees, dams that hold back floodwater, not building on floodplains
  • Why the swings? The Pacific Ocean has a rhythm. In an El Niño year, eastern Australia is usually drier and hotter (drought risk up). In a La Niña year it is usually wetter (flood risk up). The 2011 and 2022 floods both came in strong La Niña years.
  • Floods are among Australia's costliest natural hazards — partly because so many of our towns were built on floodplains, right where the river goes when it is full.

2.3Same planet, different taps

A household in QueenslandA village household in rural Ethiopia
Where the water comes fromA tap — piped from a dam, treated so it is safe to drinkA well, spring or river, often a walk of 30 minutes or more each way
Who collects itNobody — it arrives by itselfMostly women and girls, carrying 20-litre containers on their heads or backs
Is it safe?Yes — tested every dayOften not; children get sick with diarrhoea from dirty water
How much per person, per dayRoughly 150–200 litresOften under 20 litres — less than one short shower
What it costsA water bill of a few dollars a weekHours of time every day — hours a girl might otherwise spend at school

Ethiopia is not short of rain in most of the country — that is economic scarcity. A well with a hand pump, costing a few thousand dollars, can change a whole village's daily life. Australia's problem is usually the opposite: plenty of money, not always enough rain — physical scarcity, managed with engineering.

2.4Managing water in Australia

StrategyHow it worksExampleThe catch
DamsA wall across a river stores water in a reservoir for dry times; big dams can also hold back floodwaterWivenhoe Dam supplies Brisbane; Warragamba supplies most of SydneyDrowns a valley; needs rain to fill; nothing for downstream if it holds too much
DesalinationPushes seawater through fine filters to remove the saltPerth gets close to half its water from desalination; the Gold Coast plant opened in 2009Uses huge amounts of energy, so it is expensive water
RecyclingTreats used water so it can be used again on gardens, sports fields and in industry (purple pipes)Many new suburbs have a purple recycled-water tap outsidePeople are uneasy about drinking it, even when it is cleaner than river water
Water restrictionsRules that limit water use during drought — sprinklers only on certain days, no hosing drivewaysBrisbane's target of 140 litres per person per day in 2008Only cuts demand; it can't make more water
Rainwater tanks & efficient appliancesCatch roof water for the garden and toilet; use taps, showers and machines with more WELS starsTanks are standard on new Queensland homesTanks run dry in exactly the droughts you need them for

2.5Water on Country

Aboriginal and Torres Strait Islander peoples and water

For Aboriginal and Torres Strait Islander peoples, water is part of Country — alive, sacred and tied to stories and law. Knowing every waterhole, soak and spring and the rules for using them is what allowed people to live in the desert for tens of thousands of years. At Brewarrina on the Barwon River in NSW, the Ngemba people built stone fish traps — Baiame's Ngunnhu — among the oldest human-made structures on Earth, engineered to harvest fish as the river rose and fell. Today, cultural flows are water set aside for Aboriginal nations to use for cultural, spiritual and economic purposes, so that rivers like the Murray and Darling are managed with the people who have always managed them.

Unit 3Place and liveabilityFactors · Rankings · Comparing places

Liveability: what makes a place good to live in

Ask ten people what makes a place great to live and you get ten answers — beach, jobs, family, no traffic. Geographers turn those answers into a checklist, so that any two places on Earth can be compared fairly.

3.1The liveability checklist

Liveability is how good a place is to live in — whether it meets people's needs for a safe, healthy, comfortable life. It is judged on a set of factors, and the trick is remembering that they are a set: a place can be beautiful and still score badly if there is no work and no doctor.

LIVEABILITY how good a place is to live in SAFETY low crime, safe streets SERVICES hospitals, schools, shops CLIMATE comfortable, not extreme ENVIRONMENT clean air and water, parks HOUSING homes people can afford COMMUNITY clubs, neighbours, belonging TRANSPORT buses, trains, bike paths JOBS work close to home Every spoke is a question you can ask about any place — a city, a country town or a remote community.
Figure 3.1 — the liveability wheelEight factors, one place. Some are environmental (climate, clean air and water, natural hazards) and some are human — things people build or organise (hospitals, transport, jobs, community). A good exam answer names the factor and gives evidence: "Brisbane scores well on climate — mild winters, about 280 sunny days a year" beats "Brisbane has nice weather".
Figure 3.2 — where the three places areDistance is the hidden row of the liveability table: it decides what a hospital, a specialist or a job actually costs in time.
  • Liveability is partly personal. A surfer, a farmer and a grandparent with a heart condition do not want the same place. What you value depends on your age, health, job and culture — which is why geographers ask people, not just measure things.

3.2Rankings — and why Australian cities do well

  • The best-known ranking is the Global Liveability Index, published every year by the Economist Intelligence Unit. It scores more than 170 cities on five things: stability (safety), healthcare, culture and environment, education and infrastructure (transport, housing, water, power).
  • Australian cities are regulars near the top. Melbourne was ranked number one for seven years in a row (2011–2017); Vienna has held the top spot recently; Melbourne, Sydney, Adelaide, Perth and Brisbane usually land in the top twenty.
  • Why: they are safe, with good public hospitals and schools, mild climates, clean air, beaches and parks, and stable government. What drags them down: housing costs, traffic, and suburbs that sprawl a long way from jobs.
  • A warning about rankings: the index was designed to help companies decide how much extra to pay staff moving to a city. It measures what suits a business traveller. It says nothing about skate parks, sports fields or whether it is safe to ride to school — a 12-year-old's checklist looks different.

3.3Reading a climate graph

Climate is a liveability factor, and geographers show it with a climate graph. Learn the layout and any climate graph in the world becomes readable:

  • The months run along the bottom, January to December.
  • Bars show average rainfall for each month, in millimetres, read on the right-hand axis.
  • A line shows average temperature, in °C, read on the left-hand axis.
  • Brisbane's graph: the temperature line peaks in January (average maximum about 29 °C) and dips in July (about 21 °C); the rain bars are tallest in summer (roughly 130–160 mm a month) and shortest in winter (about 30–40 mm). In one sentence: warm, wet summers and mild, dry winters — which is most of why Brisbane scores well on climate.

3.4Three Queensland places, one checklist

FactorBrisbane (big city, about 2.5 million)Warwick (country town, about 15,000)Aurukun (remote community, Cape York, about 1,200)
ServicesMajor hospitals, universities, every kind of shopA small hospital, high schools, main-street shops; specialists mean a trip to Brisbane or ToowoombaA health clinic and a school to Year 10; a hospital is a flight away
TransportTrains, buses, ferries, motorways — and traffic jamsA car for almost everything; two hours' drive to BrisbaneThe road is cut for months in the wet season; light planes and barges bring supplies
JobsHuge choice, most jobs in QueenslandFarming, food processing, shops, schools; fewer choicesCouncil, school, clinic, ranger work; many young people leave to find work
Environment & climateWarm, wet summers; river and coast; heat, storms and floodingCooler and drier — frosty winters; floods on the CondamineTropical: a hot wet season and a dry season; crocodiles, cyclones
CommunityDiverse but anonymous — easy to know nobodyEveryone knows everyone; strong sports clubs and showsWik people on their own Country: language, family, ceremony — a connection no city offers
HousingAmong the most expensive in AustraliaFar cheaper than BrisbaneCrowded houses; very few new ones built
The point of the comparison

No column wins everything. The city wins on services, transport and jobs; the town wins on housing and community; the remote community has a connection to Country and culture the others cannot match — and the hardest liveability problem in Australia, distance from services. Remote Australians live shorter lives on average largely because help is so far away.

Unit 4Place and liveabilityPlanning · Young people · Fieldwork

Improving liveability: from planning to fieldwork

Places are not fixed. Every park, bus route and bike lane was somebody's decision — and the decisions keep being made. This unit is about how liveability gets improved, and how to gather the evidence that makes a council listen.

4.1Planning a better place

  • Urban planning is deciding what goes where: homes here, shops there, a park in between, and how people move about. Councils and state governments do it; residents get a say.
  • Green space. Trees and parks cool a suburb by several degrees on a hot day, clean the air, soak up storm water and give people somewhere to meet. Dark roofs and car parks do the opposite — the urban heat island.
  • Public transport and paths. Trains, buses, bike lanes and safe footpaths mean people are not stuck in traffic and children can get around without a lift. Brisbane's Cross River Rail and Queensland's 50-cent fares (from 2024) are both liveability projects.
  • The 20-minute neighbourhood. Melbourne's plan aims for most daily needs — shops, school, doctor, park, a bus stop — to be within a 20-minute walk or ride of home. Less driving, more chance of bumping into people you know.
  • Sustainability. A liveable place stays liveable: rainwater tanks, solar panels, recycling, protecting bushland and creeks, and not building on floodplains.

4.2Liveability through young people's eyes

  • When young Australians are surveyed about their suburbs, the same things come up: a safe way to walk or ride to school, sports fields and skate parks, shade and drinking fountains, a library or somewhere to hang out that is free, decent internet, and buses that actually come. Many councils now run youth councils to hear exactly this.
  • For remote and regional places, some of the biggest liveability improvements shrink distance rather than cross it: the Royal Flying Doctor Service (flying since 1928), telehealth video appointments with city specialists, and distance education that lets students stay on their family's station or in their community.

4.3Your fieldwork project

Fieldwork is geography done outside: collecting your own evidence about a real place. A good fieldwork project follows the same steps every time.

  1. Ask a geographic question. Small and answerable: "How could the crossing outside our school be made safer?" beats "Is our suburb good?"
  2. Plan. Decide what data will answer it, and how: a tally count of cars per five minutes, a survey of 20 students, photos, observation of shade and seats, a sketch map.
  3. Collect the data in the field — same place, same method, written down straight away.
  4. Record it: tables, an annotated photo, and a map.
  5. Analyse: graph it, compare it, look for the pattern. "Cars peaked at 8:25 — 47 in five minutes."
  6. Conclude and propose an improvement that matches a liveability factor — then say who you would send it to.

4.4Map skills: BOLTSS and grid references

Every map you draw or read is checked against BOLTSS. Miss one and you lose a mark; miss the legend and nobody can read the map at all.

LetterStands forWhat it does
BBorderA frame showing where the map ends
OOrientationA north arrow, so you know which way is which
LLegend (key)Explains every symbol and colour on the map
TTitleSays what the map shows, and where
SScaleShows how a distance on the map matches real distance
SSourceWhere the information came from, and when
  • Grid references pin a location on a gridded map. Read the easting first (the numbers along the bottom, going across), then the northing (the numbers up the side). The memory trick: along the corridor, then up the stairs. A four-figure reference such as 2437 names the square whose bottom-left corner is at easting 24, northing 37.
  • On a fieldwork sketch map, a scale can be as simple as "one pace = 1 metre" — as long as it is written on the map.
Answering an "improve liveability" question

Name the place, name the factor that is weak, propose a specific strategy, and say who it helps. "Warwick's transport score is low because there is no bus to Toowoomba; a twice-daily bus would give students and older people access to specialists and TAFE without needing a car." Four parts, four marks.

Start hereYear 7 TechnologiesDesign Technology · Elective

Somebody designed your pencil case.

The zip, the shape, the fabric, the price — every one of those was a decision. Four units take you from "what is a designer, anyway?" to a finished object you made, tested and improved yourself.

The mapFour units

  1. What designers do — needs and wants, the design brief, the four-step loop, and famous everyday designs.
  2. Sketching ideas — thumbnails, annotated sketches, 2D and 3D drawing, shading, and dimensions in millimetres.
  3. Materials & tools — timber, plastics, metals, card and fabric; picking by property; hand tools used safely.
  4. Make, test, improve — a real project from brief to test plan, with a criteria table and an honest "what I would change".
What Year 7 Design Technology is actually assessed on

Whether you can read a brief, sketch more than one idea, choose materials for a reason, make safely, and then test your product against the brief and say clearly what worked and what you would change. A wobbly product with an honest evaluation scores better than a perfect one with "it was good".

Unit 1Design TechnologyNeeds · Briefs · The loop

What designers do

A designer is someone who notices a problem, works out exactly who has it, and makes a thing that solves it. Not magic — a method. This unit is the method.

1.1Needs and wants

  • A need is something the design must have to do its job. A drink bottle needs to hold liquid without leaking. No leak-proof lid, no drink bottle — just a wet bag.
  • A want is something that would be nice but the design still works without it. Your favourite colour, a sticker, a name printed on the side.
  • Designers sort needs from wants before they start, because needs are non-negotiable and wants are where you make trade-offs when time or money runs short.
ProductNeeds (must have)Wants (nice to have)
School drink bottleHolds 600 mL, doesn't leak in a bag, fits a bag pocketFavourite colour, a carry loop, a name label
Phone stand for a deskHolds the phone upright, doesn't tip, phone can't slide offMatching the desk, a slot for the charging cable
Bike lightBright enough to be seen, clips on securely, survives rainFlashing modes, USB charging, a fancy shape

1.2The design brief: who, what, limits

  • A design brief is the job written down in a few sentences. Every brief answers three questions: who is it for, what must it do, and what are the limits.
  • The limits are called constraints: how much money, how much time, which materials you are allowed, how big it can be. Example brief: "Design a stand that holds a phone upright on a desk for a Year 7 student, made only from card and glue, costing under $2, finished in two lessons."
  • Read a brief the way a detective reads a clue. "For a grandparent whose hands aren't strong" changes everything: big buttons, no tiny zips, light to lift. Miss the who and you design the wrong thing well.

1.3The four-step loop

1. INVESTIGATE who needs what; the limits 2. GENERATE sketch several ideas 3. PRODUCE make the chosen one 4. EVALUATE test it against the brief now imagine answers build the best idea test it honestly fix what failed, go again THE DESIGN LOOP round again until it does the job Solid arrows = the order of the steps. Dashed arrow = the loop back: evaluating tells you what to investigate next.
Figure 1.1 — the design loopInvestigate, generate, produce, evaluate — then around again. The first version of anything is a rough draft. Testing it tells you what version 2 must fix, which is why the last arrow is dashed: it never really stops.
  • Investigate. Read the brief, look at products that already exist, ask the user what annoys them. Write the needs down.
  • Generate. Sketch several ideas — three is the minimum — before picking one. The first idea is rarely the best; you only find that out by drawing a second and a third.
  • Produce. Measure, mark, cut, join. Work safely and keep notes on anything you changed from the sketch.
  • Evaluate. Test the finished thing against the brief. Then say what you would change — and that becomes the start of the next loop.

1.4Famous designs and the problem each solved

DesignThe problemThe clever bit
Paper clip (1890s)Hold papers together without punching holes or damaging themOne bent wire that springs back — no moving parts, reusable, costs almost nothing
Zip (1910s)Fasten clothes and bags fast, without a row of fiddly buttonsTwo rows of teeth that a slider locks together in one pull
Velcro (1941)A fastening that a child, or one hand, can open and close again and againCopied from burrs the inventor found stuck to his dog: tiny hooks catching tiny loops
Ring-pull can (1960s)Open a drink anywhere without carrying a separate openerA lever built into the lid, using the can's own metal
Wheelie bin (1960s–70s)Move a heavy bin to the kerb without lifting itTwo wheels and a handle turn a lift into a tilt-and-roll
The exam trap: "describe the design"

The marks are not for saying what it looks like. They are for naming the problem it solves, who it solves it for, and the one idea that makes it work. Problem → user → clever bit: three short sentences.

Unit 2Design TechnologyThumbnails · Annotation · 3D · Dimensions

Sketching ideas: thinking on paper

You do not need to draw well. You need to draw fast, draw lots, and write on the drawing so that someone else could build it. This unit is the difference between a doodle and a design.

2.1Thumbnails, then annotation

  • A thumbnail is a small, quick sketch — a minute each, six to a page. The point is not to finish any of them; it is to get many different ideas down so you can compare them. Wobbly lines are fine. Blank pages are not.
  • Pick the strongest thumbnail and turn it into an annotated sketch: a bigger drawing with notes and arrows saying what each part is made of, how big it is, and how it works. The notes carry the thinking; the drawing just shows where things go.
  • The test of a good annotated sketch: could a classmate build it from the page alone, without asking you a single question?
PHONE STAND — SIDE VIEW (not to scale) 100 mm 130 mm Phone drawn in for size (75 × 150 mm) Lip, 15 mm high stops the phone sliding Back rest: leans back so the phone tilts toward your face, not straight up Made from one piece of 3 mm card, scored and folded — no glue Thick lines = the card. Arrow-ended lines = dimensions in mm. Thin lines point each note at the part it describes.
Figure 2.1 — an annotated sketchOne side view, four notes, two dimensions — and a classmate could build it. Notice what the notes do: they name the material, give sizes in mm, and explain why each part is there ("stops the phone sliding"). The phone is drawn in so the sizes make sense.

2.22D and 3D: flat views and isometric

  • A 2D drawing shows one flat view: the front, the side or the top. Flat views are the easiest place to write dimensions, which is why makers use them.
  • A 3D drawing shows three faces at once, so the viewer sees the shape. The school standard is isometric: vertical edges drawn straight up, and the other edges sloping at 30° to the horizontal, all at true length.
  • Oblique is the quick alternative: draw the front face flat and true, then push the side edges back at 45°. Easier, less realistic.
top face right face left face all edges drawn at true length (40 mm) vertical edges go straight up bottom edges lean 30° from horizontal 1. AN ISOMETRIC CUBE 30° 30° up: height right: width left: depth horizontal reference line 2. THE THREE ISOMETRIC AXES
Figure 2.2 — building an isometric cubeStart from one corner. Draw the height straight up, the width up to the right at 30°, the depth up to the left at 30° — each at its true length. Complete the three faces with lines parallel to those axes. Isometric paper (a grid of 30° lines) makes this almost automatic.

2.3Shading and dimensions

  • Rendering means adding shade so a drawing looks solid. Decide where the light comes from, keep the face nearest the light lightest, the face away from it darkest, and the top in between. Three tones are enough.
  • Texture tells the viewer the material: short parallel strokes for timber grain, a few dots for card, a clean highlight streak for shiny plastic or metal.
  • Dimensions are the sizes written on the drawing. In Design Technology they are always in millimetres — no units written, no decimals to worry about: 100, not 10 cm. Draw a thin dimension line with an arrowhead at each end and write the number above the middle of it.
  • One page should tell the whole story: the brief in a sentence, thumbnails, the annotated sketch of the chosen idea, a flat view with dimensions, and a materials list. That is communicating a design.
cm → mm, in your head

Multiply by 10: 4.5 cm is 45 mm, 12 cm is 120 mm. Going back, divide by 10. Rulers in the workshop are marked in mm for a reason — the tiny lines are the ones you use.

Unit 3Design TechnologyProperties · Choosing · Hand tools · PPE

Materials & tools: the right stuff, used safely

Card, pine, acrylic, aluminium, felt. Each is brilliant at some jobs and hopeless at others. Choosing well means knowing a handful of properties — and then cutting, shaping and joining without anyone getting hurt.

3.1Five families of materials

FamilyExamplesGood atWatch out for
Timberpine, balsa, plywoodstrong for its weight, easy to cut and sand, warm to touchsplinters, splits along the grain, swells when wet
Plasticsacrylic, PVC, polystyrenewaterproof, can be transparent, easy to keep cleanscratches, can crack, edges cut sharp
Metalsaluminium, steelhard, strong, keeps its shapeheavy, hard to cut by hand, steel rusts
Card & papercorrugated card, mounting boardcheap, cuts with a knife, folds, quick to test ideasgoes soft when wet, bends under weight
Fabriccotton, felt, canvasflexible, soft, folds flatfrays at cut edges, no stiffness of its own

3.2Choosing by property

  • A property is how a material behaves: hard (doesn't scratch or dent easily), flexible (bends and springs back), waterproof (water can't soak in), strong for its weight (carries a load while staying light), transparent (you can see through it).
  • Start from the job, not the material. Ask: what must this part survive? A phone-stand back rest must not bend → stiff. A raincoat must keep water out → waterproof. A ruler must survive being dropped → hard and a little flexible.
  • Then check the constraints from the brief: is it allowed, can you afford it, can you actually cut it with the tools you have? Aluminium might be the "best" material for a stand and still be the wrong choice in a two-lesson card project.

3.3Hand tools, used safely

self-healing cutting mat craft knife — blade out only while actually cutting the card being cut pull the knife toward you, along the ruler, light passes steel ruler — fingers on top, well back from the edge Top view. The knife never crosses the ruler; fingers stay out of its path; the blade goes back in the moment the cut is done.
Figure 3.1 — cutting card safelyMat under the work, steel ruler on the line, fingers on top of the ruler, and the knife pulled toward you in several light passes — a hard push is how the blade slips. Retract the blade before you put the knife down.
ToolJobThe rule
Steel rulerMeasure and mark in mm; guide the knifeMeasure twice, cut once — a piece cut short stays short
Craft knife + cutting matCut card and thin plasticMat under, ruler on, fingers back, light passes, blade retracted after
Hand sawCut timber to lengthClamp the wood, start the cut slowly with a few backward strokes, let the teeth do the work
SandpaperSmooth edges, remove splintersCoarse grit first, fine grit last; sand along the grain
Hot glue gunJoin card, timber, plastic quicklyThe nozzle and fresh glue burn — never touch either; rest the gun on its stand
  • PPE — personal protective equipment — goes on before the work starts: safety glasses when cutting or sanding, closed shoes always, an apron, hair tied back, sleeves rolled up.
  • Carry tools points-down at your side, put them back where they live, and keep the bench clear — most workshop injuries are trips and slips, not blades.
  • Blunt, loose or damaged tools are not "still fine": stop and tell the teacher. Report every cut, however small.
Unit 4Design TechnologyProject · Test plan · Criteria · Presenting

Make, test, improve

Here is the whole loop run once, on one small project: a cardboard phone stand. Follow it and you have a template for every project you will ever be set — brief, criteria, make, test, improve, present.

4.1The project, step by step

The brief: "Design a stand that holds a phone upright on a desk for watching videos, for a Year 7 student, made only from card and glue, costing under $2, finished in two lessons."

  1. Turn the brief into criteria. Before touching card, write what "success" means as things you can test: holds the phone upright; doesn't tip when the desk is nudged; phone can't slide off; card and glue only; under $2; done in two lessons.
  2. Three thumbnails. A folded wedge, an L-shape with a lip, a slotted two-piece stand. Pick one using the criteria — the wedge folds from a single piece, so it is fastest.
  3. Annotated sketch with dimensions. Base 100 mm, back rest 130 mm, lip 15 mm, all from 3 mm corrugated card. (Figure 2.1 is exactly this sketch.)
  4. Make. Measure and mark in mm, cut on the mat along the steel ruler, score the fold lines lightly so the card bends cleanly, fold, and glue the lip.
  5. Test against every criterion, write down what happened, and say what you would change.

4.2The test plan and the criteria table

  • A test plan is written before testing: one test per criterion, saying exactly what you will do and what counts as a pass. "Put the phone on the stand, nudge the desk three times, it must stay up" is a test. "See if it works" is not.
  • Record the result honestly in a criteria table: met, partly met, or not met — with the evidence. A tick you didn't earn teaches you nothing; a cross tells you what version 2 fixes.
Criterion (from the brief)How I tested itWhat happenedMet?
Holds the phone uprightPlaced the phone, watched for 10 minutesStayed up the whole time met
Doesn't tip when the desk is nudgedNudged the desk three times, portrait and landscapeFine in portrait; wobbled in landscape partly
Phone can't slide offTilted the desk edge slightly, 5 triesLip caught it every time met
Card and glue onlyChecked the materials listCard, glue — nothing else met
Costs under $2Added up the materials$1.20 met
Finished in two lessonsChecked the timeNeeded ten minutes of a third lesson not met

4.3"What worked / what I would change" — and presenting it

  • What worked: name the criteria you met and why the design met them. "The 15 mm lip stopped the phone sliding in all five tries."
  • What I would change: pair every failure with a specific fix. "It wobbled in landscape because the back rest is only 100 mm wide, so I would make it 160 mm wide." Not "make it better".
  • "It looks awesome" and "my friend liked it" are opinions. They are allowed in the presentation — they are not evaluation. Evaluation is criterion → test → evidence → verdict.
  • Presenting: one page or one minute, in this order — the brief, your thumbnails, the product, the criteria table, and what you would change. Show the sketches you didn't choose too: they prove you generated ideas.
The full-marks evaluation, in one line

"Criterion 2 was partly met: it wobbled in landscape during the nudge test, so version 2 would have a 160 mm back rest." Criterion, evidence, fix. Write one of those for every row of the table and you cannot lose the evaluation marks.

Start hereYear 7 TechnologiesDigital Solutions · Elective

The machine only knows two things.

Off and on. From those two, a computer stores your photos, plays your games and sends your messages around the planet. Four units open the box: what is inside, how it counts, how it follows instructions, and how you stay in charge of it.

The mapFour units

  1. Inside a computer — hardware and software, input → process → output → storage, the parts, files and folders, and how a message travels.
  2. Data as numbers — why binary, counting to 31 with five bits, bits and bytes, and how letters and pictures become numbers.
  3. Algorithms — exact instructions, sequence, selection and repetition, flowcharts, tracing by hand and spotting bugs.
  4. First programs & staying safe — events, loops and variables in pseudocode, a guess-the-number game traced line by line, and digital citizenship.
What Year 7 Digital Solutions is actually assessed on

Naming the parts of a digital system and what each does; showing that all data is stored as binary numbers; writing and following algorithms using sequence, selection and repetition; tracing a small program by hand; and explaining how to be safe and respectful online.

Unit 1Digital systemsHardware · Software · Input to output

Inside a computer

A phone, a laptop, a games console and a smart watch are all the same machine underneath: something comes in, something is worked out, something comes out, and some of it is kept for later.

1.1Hardware and software

  • Hardware is every part you could touch: the screen, the keyboard, the chips inside, the cable. If you dropped it, it would make a noise.
  • Software is the instructions the hardware follows: apps, games, the web browser, and the operating system underneath them all. You cannot drop software.
  • Hardware without software is a very expensive paperweight. Software without hardware is just an idea. A computer is the two working together.

1.2Input, process, output, storage

Example: you type 2 + 3 → the CPU adds them → 5 appears on screen → the file is saved for later INPUT keyboard, mouse, touchscreen, microphone, camera PROCESS the CPU works on the data, using RAM as its workbench OUTPUT screen, speakers, printer data in results out save load STORAGE SSD, hard drive, USB stick: keeps data when the power is off
Figure 1.1 — input, process, output, storageEvery digital system does these four things. Input gets data in, the process stage works on it, output shows the result, and storage keeps it so it is still there tomorrow. Say what a device is doing at each stage and you have explained the device.

1.3The parts and what each one does

PartWhat it doesThink of it as…
CPU (processor)Carries out the program's instructions, one after another, billions of times a secondthe brain — it does the actual working-out
RAM (memory)Fast working space for whatever is open right now; wiped when the power goes offthe desk you spread your work on
Storage (SSD, hard drive, USB stick)Keeps files and programs safe when the power is offthe filing cabinet
ScreenShows the output as pictures and textthe window onto the results
Keyboard, mouse, touchscreenTurn your taps and presses into inputthe doors data comes in through
  • The operating system (Windows, macOS, Android, iOS) is the software that starts the computer, runs every other program, draws the windows and buttons, and looks after your files. Apps ask it for things; they never touch the hardware directly.
  • A file is one saved item: a photo, a document, a song. Its name ends in an extension that says what kind it is — .jpg for a photo, .docx for a document, .mp3 for a song.
  • A folder is a named container for files — and for other folders. School → Year 7 → Science → volcano.docx is a path: the route from the top folder down to one file. Good folder names save you from a desktop with 400 files on it.

1.4How a message gets to your friend

  • Your phone doesn't beam a message straight to your friend's phone. It sends it to your Wi-Fi router, which passes it to the internet — a giant web of cables and machines that connects networks all over the world.
  • Every device on the internet has an address (a number, a bit like a postal address), so the message can be steered to the right place.
  • The message goes to a server — a computer in a data centre that never switches off — run by the messaging app. The server holds the message until your friend's phone asks for new messages, then sends it on. That is why a message still arrives when your friend's phone was off when you sent it.
  • Long messages, photos and videos are chopped into small pieces for the trip and put back together at the far end. You never see the pieces; you just see the photo.
"Explain how the message travels" — the four-word chain

Device → router → server → device. Add that every device has an address and that the server holds the message until the other phone collects it, and you have full marks. No need for anything more technical in Year 7.

Unit 2Data representationBinary · Bits · Letters · Pixels

Data as numbers

A computer cannot store a letter, a colour or a sound. It can only store numbers — and only numbers made of 0 and 1. Everything on your screen is a trick played with those two digits.

2.1Why two digits?

  • Inside a chip are billions of tiny switches. A switch is either off or on — nothing in between — so the computer writes off as 0 and on as 1. Two states are impossible to mix up; ten would be.
  • Counting with only 0 and 1 is called binary. Our normal counting with ten digits is decimal. They are the same numbers wearing different clothes: binary 101 and decimal 5 are the same amount.
  • One 0-or-1 is a bit. Eight bits together make a byte. A byte is the usual parcel size for data: one letter of text takes one byte.

2.2Counting in binary with five bits

In decimal, the columns are worth 1, 10, 100 — each ten times the last. In binary, each column is worth double the last: 1, 2, 4, 8, 16. To read a binary number, add up the columns that hold a 1 and ignore the ones that hold a 0.

×2 ×2 ×2 ×2 168421 10110 160420 place value binary 10110 worth = 22 in decimal 16 + 4 + 2 = 22 Each column is worth double the one to its right. Add only the columns that hold a 1 — a 0 column adds nothing.
Figure 2.1 — the binary place-value tableFive columns: 16, 8, 4, 2, 1. The number 10110 has 1s in the 16, 4 and 2 columns, so it is 16 + 4 + 2 = 22. Five bits can count from 0 (00000) up to 31 (11111, all columns on).
Decimal168421Binary
10000100001
20001000010
30001100011
70011100111
100101001010
191001110011
311111111111
Decimal → binary: start from the biggest column

To write 19 in binary: does 16 fit into 19? Yes — write 1, and 3 is left. Does 8 fit into 3? No — 0. Does 4? No — 0. Does 2? Yes — 1, and 1 is left. Does 1? Yes — 1. Answer: 10011. Always check by adding back: 16 + 2 + 1 = 19.

2.3Letters and pictures are numbers too

  • Text: every letter, digit and symbol has an agreed code number, listed in the ASCII table. Capital H is 72, capital I is 73, so "HI" is stored as 72, 73 — each one a byte of binary. Lowercase letters have their own numbers (a is 97), which is why passwords care about capitals.
  • Pictures: a digital image is a grid of tiny squares called pixels. In the simplest kind, a bitmap in black and white, each pixel is just one bit: 1 for black, 0 for white. The picture is the list of bits, row by row.
  • More pixels means a sharper picture and a bigger file. Colour pictures need more bits per pixel to say which colour — that is the Year 8 story.
col 1col 2col 3col 4col 5 row 1row 2row 3row 4row 5 0 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 0 = 1, a black pixel = 0, a white pixel 5 rows × 5 columns = 25 pixels = 25 bits, just over 3 bytes the file stores only the 0s and 1s; the screen turns them back into squares A bitmap: the picture is a grid, each square is one pixel, and each pixel is one bit. Sharper or more colourful pictures need more bits.
Figure 2.2 — a tiny bitmapAn arrow, 5 pixels by 5. Read each row as a binary code — row 3 is 1 0 1 0 1 — and the whole picture is just 25 bits in a row. Give those bits to any screen and it draws the arrow back. A phone photo is the same idea with millions of pixels.
Unit 3Creating solutionsSequence · Selection · Repetition · Flowcharts

Algorithms: instructions a machine can follow

Tell a friend "make a sandwich" and they manage. Tell a computer and nothing happens, because it doesn't know what "make" means, or "sandwich", or where the bread is. An algorithm is the instructions written so exactly that nothing is left to guess.

3.1Precise steps, in order

  • An algorithm is a list of exact steps, in order, that solves a problem. A recipe, the instructions for a board game, and the way you sharpen a pencil are all algorithms — if they are precise enough.
  • The test: could someone who has never done it follow your steps without asking a question? "Add some flour" fails the test. "Add 200 g of flour" passes.
  • Order matters. "Spread the butter, then put the bread in the toaster" is the same four words as the right version, in the wrong order, and it ruins the toaster.

3.2The three building blocks

  1. Sequence — steps one after another. Put on socks, then shoes, then tie the laces.
  2. Selection — a choice made by asking a yes/no question. IF homework is finished THEN play ELSE keep working.
  3. Repetition — doing steps again. REPEAT 10 star jumps. Keep asking UNTIL the user types yes.

Every program ever written — games, maps, the app that took your photo — is built from just those three patterns, stacked and nested. Learn to spot them and code stops looking like a foreign language.

3.3Flowcharts: the shapes and what they mean

Start count ← 1 Say count out loud count ← count + 1 count > 3? End No Yes Oval — Start or End Rectangle — a process Parallelogram — input or output Arrow — which step comes next Diamond — a decision every flowchart has both one action, like setting count to 1 here: saying the number out loud follow them in order, never skip one one question, exits labelled Yes and No The No arrow loops back to the parallelogram — that is repetition drawn as a shape. 1, 2, 3 are said aloud; when count becomes 4, the Yes exit ends it. Trace it: count = 1, say 1 → count = 2, say 2 → count = 3, say 3 → count = 4, is 4 > 3? Yes → End.
Figure 3.1 — counting to three as a flowchartFive shapes, one job each: oval for Start and End, rectangle for a process, parallelogram for input or output, diamond for a decision with its two exits labelled Yes and No, and arrows for the order. The arrow that goes back up is the loop.

3.4Tracing by hand, and spotting a bug

To trace an algorithm, be the computer: follow it one step at a time and write down what changes. Here is Figure 3.1 as a trace table. Read as "becomes".

StepWhat happenscount is nowSaid out loud
count ← 1the box called count gets 11
Say countoutput11
count ← count + 11 + 12
count > 3?2 > 3? No — loop back2
Say countoutput22
count ← count + 12 + 13
count > 3?3 > 3? No — loop back3
Say countoutput33
count ← count + 13 + 14
count > 3?4 > 3? Yes — End4
  • A bug is a mistake in the steps. The computer does not notice — it follows the wrong step perfectly. The trace table finds it: the first row where the value is not what you expected is where the bug lives.
  • Classic Year 7 bugs: steps in the wrong order (butter before toast), a question that asks the wrong thing (> when you meant <), and a loop with nothing inside it that changes the count — so it never ends.
Unit 4Creating solutions · CitizenshipEvents · Loops · Variables · Safety

Your first programs — and staying safe

A program is an algorithm written in a language the computer accepts. Block coding like Scratch snaps the pieces together for you; here we write the same ideas as plain pseudocode, so you can see exactly what each block means.

4.1Events, loops and variables

Block ideaIn Scratch it looks likeIn pseudocodeWhat it means
Event"when green flag clicked", "when space key pressed"WHEN space is pressedSomething happens, so the script starts
Loop"repeat 10", "forever"REPEAT 10 TIMES … END REPEATDo the steps inside again and again
Variable"set score to 0", "change score by 1"score ← 0, then score ← score + 1A named box that holds a value the program can change
Selection"if … then … else"IF guess < secret THEN … ELSE …Choose one of two paths
  • A variable is a named box in the computer's memory. score ← 0 puts 0 in the box; score ← score + 1 takes what is in the box, adds 1, and puts the answer back. The arrow means "becomes".
  • An event is the trigger: a click, a key press, a sprite being touched. Nothing in an event script runs until the event happens.

4.2Guess the number, traced line by line

LinePseudocode
1secret ← 7
2tries ← 0
3REPEAT
4  INPUT guess
5  tries ← tries + 1
6  IF guess < secret THEN PRINT "too low"
7  ELSE IF guess > secret THEN PRINT "too high"
8  END IF
9UNTIL guess = secret
10PRINT "You got it in", tries, "tries"

The player guesses 5, then 9, then 7. Trace it:

Go roundguesstriesLine 6/7 saysLine 9: guess = 7?
1st515 < 7 → too lowNo — go round again
2nd929 > 7 → too highNo — go round again
3rd73neither — nothing printedYes — leave the loop
Line 10 prints: You got it in 3 tries
  • Testing means running the program with inputs you already know the answer for, and checking it does what you expected. Test the easy case (a right guess first go), the loop case (wrong, wrong, right), and a silly input (a letter instead of a number). A program that survives all three has earned some trust.
  • If a test fails, trace it — the first line where your table disagrees with the program is where the bug is.

4.3Staying safe and being decent online

  • Passwords. Long beats clever: three or four random words is stronger than "P@ss1" and easier to remember. Different for every account, and told to nobody — not your best friend, not someone who says they are from the game's support team.
  • Privacy. Keep private: your full name with your school, your address, your phone number, your date of birth, your passwords, and photos that show your school uniform or street. These are exactly the details a stranger needs to pretend they know you. Fine to share: your opinion of a movie, your favourite colour, that you like a game.
  • Being kind. Whatever you post can be screenshotted and kept forever, by anyone. Before you send, THINK: is it True, Helpful, Inspiring, Necessary, Kind? Would you say it to their face with a teacher standing there?
  • When something feels wrong — a stranger asking questions, a message that scares you, someone being nasty — don't reply, keep the evidence, and tell a trusted adult. That is not telling tales; it is what the adults are for.
"Is it safe to share?" — the one-question test

Could this detail help a stranger find me or pretend to know me? School name, address, phone number, birthday, photos with locations: yes, so keep them private. Favourite colour, opinion of a film: no, so share away.

Start hereYear 7 TechnologiesFood Technology · Elective

Everyone eats. Not everyone can cook.

Four units take you from your first day in a school kitchen to designing a snack of your own: staying safe, knowing what a balanced plate looks like, following a recipe without panic, and knowing where the food on your fork actually came from.

The mapFour units

  1. Safe in the kitchen — hygiene, holding a knife, hot things, the danger zone and colour-coded boards.
  2. Food groups and a balanced plate — the five food groups, sometimes foods, reading a label, and water.
  3. Reading and following a recipe — the parts of a recipe, measuring, the basic techniques, and getting the timing right.
  4. Where food comes from — paddock to plate, eating with the seasons, food waste, and your first design brief.
What Year 7 Food Technology is actually assessed on

Working safely and hygienically comes first, every lesson. Then: naming the five food groups and using them to judge a meal, following a recipe accurately (measuring, techniques, timing), and being able to plan a simple food product for a purpose and say honestly how it turned out.

Unit 1Food TechnologyHygiene · Knives · Heat · The danger zone

Safe in the kitchen: the habits that keep everyone well

A kitchen has sharp things, hot things and invisible things that can make people sick. None of them are a problem if you build a few habits so deep you do them without thinking. This unit is those habits.

1.1Hygiene: you are the biggest risk in the room

  • Wash your hands with soap and warm water for 20 seconds — before you start, after touching raw meat or eggs, after the toilet, and after touching your face, hair or phone. Dry them on a clean towel or paper, not your clothes.
  • Tie long hair back, put on a clean apron, take off watches and rings, and roll up sleeves. Hair and jewellery carry germs and end up in the food.
  • Cover any cut with a blue bandaid — blue because no food is blue, so it is easy to spot if it falls off.
  • Don't cook for other people when you are sick with a cold, a cough or an upset stomach. Tell the teacher.
  • Never taste with a spoon and put it back in the pot. Use a clean spoon each time.

1.2Holding a knife

THE CLAW — for chopping and slicing knuckles forward, facing the blade knife handle blade, seen edge-on fingertips tucked under the food chopping board — on a damp cloth so it can't slide THE BRIDGE — for small, round things the knife goes under the bridge thumb on one side fingers on the other side blade the food chopping board Two grips, one rule: the hand holding the food is never in front of the blade.
Figure 1.1 — the claw and the bridgeIn the claw, the fingertips curl under and the knuckles lead, so the flat of the blade slides against knuckle and can never reach a fingertip. In the bridge, thumb and fingers make an arch over something small and round — a cherry tomato, half a potato — and the knife cuts down through the tunnel. Round things roll: cut a flat side first, then put the flat side down.
  • Carry a knife point down, by your side, and tell people you are coming through. Never run with one, never wave one about, never try to catch one that is falling — step back and let it drop.
  • Never leave a knife in a sink of soapy water where someone will reach in and find it. Wash it straight away, blade pointing away from you, and put it back in the block.
  • Cut away from your body, on a board that can't slip, with your eyes on the blade. A blunt knife is more dangerous than a sharp one, because you push harder and it slips.

1.3Hot things

  • Turn pot handles in, away from the edge of the stove, so nobody catches one and tips boiling water on themselves.
  • Lift a lid away from your face — steam burns worse than boiling water. Use dry oven mitts, never a tea towel: a wet cloth conducts heat straight through to your hand.
  • Hot oil and water do not mix. If oil in a pan catches fire, never pour water on it — turn off the heat and smother the flames with a lid or a fire blanket. Tell the teacher immediately.
  • Burn first aid: cool running water for 20 minutes. Not ice, not butter, not toothpaste. Then tell someone.

1.4The danger zone

Food-poisoning bacteria are already on most raw food. Whether they become a problem depends on temperature: cold slows them down, cooking kills them, and everything in between is where they multiply.

0 °C 5 °C 60 °C 100 °C COLD — the fridge, 5 °C or below: bacteria barely grow DANGER ZONE — 5 to 60 °C: bacteria multiply fast HOT — 60 °C and above: cooking kills bacteria room temperature — about 22 °C chicken cooked right through — 75 °C Room temperature sits right inside the danger zone — that is why food can't be left out on the bench.
Figure 1.2 — cold, danger, hotKeep food below 5 °C (the fridge) or above 60 °C (cooking and keeping hot). Between those, bacteria can double their numbers roughly every 20 minutes. Rule of thumb: food left out for more than 2 hours goes in the fridge or gets eaten; more than 4 hours and it goes in the bin.

1.5Keeping germs where they are

  • Cross-contamination is germs travelling from one food to another — usually from raw meat, chicken or eggs to something that will be eaten without cooking, like salad or bread. The knife, the board, the tea towel and your hands are the usual taxis.
  • School and restaurant kitchens stop it with colour-coded chopping boards: one colour per kind of food, so raw chicken and salad never share a board.
Board colourUsed for
RedRaw meat
BlueRaw fish and seafood
GreenFruit, salad and vegetables
YellowCooked meat
WhiteBread and dairy
  • In the fridge, raw meat goes on the bottom shelf in a covered container so it cannot drip on anything below.
  • At the end of a lesson: clean the bench (hot soapy water removes the food and grease), then sanitise it (a spray that kills the germs left behind). Cleaning first — sanitiser can't get through grease.
The question they always ask

"Why does the school kitchen use a red board for raw chicken and a green one for salad?" The full answer has three links: raw chicken carries bacteria → a shared board would move them onto the salad → salad is eaten raw, so nothing ever kills them. Separate boards break the chain at the second link.

Unit 2Food TechnologyFive food groups · Labels · Water

Food groups and a balanced plate

"Eat healthy" is useless advice until someone tells you what that looks like on an actual plate. Australia has an official picture of it, and once you know the five groups you can judge any meal — including the one in front of you right now.

2.1The five food groups

The Australian Guide to Healthy Eating draws a plate cut into five slices. Each slice is a food group, and the size of the slice shows how much of your daily food should come from it.

VEGETABLES & LEGUMES — the biggest slice GRAIN FOODS — bread, rice, pasta, oats (mostly wholegrain) MEAT, FISH, EGGS, TOFU, NUTS & BEANS MILK, YOGHURT & CHEESE FRUIT — a small slice DRINK WATER the everyday drink — plenty of it SOMETIMES FOODS — off the plate chips, lollies, soft drink, cake, takeaway small amounts, not every day The bigger the slice, the more of your day's food should come from it. Nothing outside the plate is banned — it just isn't everyday food.
Figure 2.1 — the balanced plateVegetables and grain foods take up more than half the plate between them. Meat and its alternatives and dairy are medium slices; fruit is small but daily. Sometimes foods — chips, lollies, soft drink, cake — sit outside the plate because they give lots of energy, sugar, salt or fat and not much else.
Food groupEveryday examplesWhy your body wants it
Vegetables and legumespumpkin, spinach, corn, capsicum, lentilsvitamins, minerals and fibre; hardly any is too much
Grain foodswholemeal bread, rice, pasta, porridge oats, Weet-Bixslow-burning energy to get you through the day
Lean meat, fish, eggs, tofu, nuts and beanschicken, tuna, eggs, tofu, baked beansprotein for growing and repairing muscle, skin and blood; iron
Milk, yoghurt, cheese and alternativesmilk, yoghurt, cheese, calcium-added soy milkcalcium for bones and teeth — teenagers are building bone right now
Fruitmango, strawberries, apples, bananasvitamins, fibre, and a sweet that comes with the good stuff attached
  • A quick test for any meal: how many groups are on the plate? Chicken, rice and steamed broccoli scores three. A bowl of chips scores none — potato chips are deep-fried, so they count as a sometimes food, not a vegetable.

2.2Reading a food label

  • Every packet has a nutrition information panel. Use the per 100 g column to compare two products — it is the same ruler for both, no matter how big the packet's "serve" is.
  • Sugar: about 4 grams is one teaspoon. A cereal with 24 g of sugar per 100 g is nearly a quarter sugar — six teaspoons in every 100 g. Under about 15 g per 100 g is a better choice.
  • Salt appears on the label as sodium. Under 400 mg per 100 g is a good choice; under 120 mg is low.
  • The ingredients list runs from the largest ingredient to the smallest. If sugar is first, the product is mostly sugar — whatever the front of the packet says.

2.3Water, and the drinks that aren't

  • Your body is about 60% water, and you lose it all day in sweat, breath and the toilet. Water is the everyday drink — roughly 6 to 8 glasses a day, more in the heat or after sport.
  • A 375 mL can of soft drink holds about 10 teaspoons of sugar (around 40 g). Juice is not much better, because the fibre of the fruit is gone. Sports drinks are soft drinks with salt — for a two-hour match, not a maths lesson.
Unit 3Food TechnologyParts of a recipe · Measuring · Techniques · Timing

Reading and following a recipe

A recipe is a set of instructions written by someone who has already made the mistakes for you. Read it the right way, measure properly, and know what the words mean — and the dish comes out the way the photo promised.

3.1The parts of a recipe

PartWhat it tells youRead it for…
TitleWhat you are makingwhether it is actually what you want
ServesHow many people it feedswhether you need to double or halve it
Prep time and cook timeHow long the chopping takes, and how long the cooking takeswhen you must start
IngredientsEvery item and exactly how much, usually in the order you use themyour shopping list, and your mise en place
EquipmentThe bowls, pans, tray and tools you'll needgetting everything out before you start
MethodThe numbered steps — what to do, in ordersurprises like "chill for one hour" hiding in step 6
  • Read the whole recipe before you touch anything. Then do your mise en place ("meez on plass") — French for everything in its place: ingredients out and measured, vegetables chopped, oven on, pans ready. Cooking then becomes just assembling.

3.2Measuring

MeasureShort formAustralian standard
Teaspoontsp5 mL
Tablespoontbsp20 mL (most other countries use 15 mL — check whose recipe it is)
Cupcup250 mL
Grams and kilogramsg, kgweighed on scales; 1 kg = 1000 g
Millilitres and litresmL, Lmeasured in a jug; 1 L = 1000 mL
  • Dry ingredients: fill the cup or spoon, then level it off with the back of a knife. "Heaped" is only right if the recipe says heaped.
  • Liquids: put the jug on the bench and read it at eye level. Looking down at it, you will always pour too much.
  • Baking is the strict one — a cake is a chemistry experiment, and a quarter cup of extra flour is a brick. Soups and stir-fries forgive; cakes don't.

3.3What the words mean

TechniqueWhat you actually do
SliceCut into flat, even pieces — a tomato for a sandwich
DiceCut into small, even cubes — an onion for a sauce
GrateRub against a grater to make fine shreds — cheese, carrot
Mix / stirCombine ingredients with a spoon until even
WhiskBeat fast with a whisk to blend, or to get air in — eggs, pancake batter
BoilCook in water at 100 °C, big rolling bubbles — pasta
SimmerCook gently just below boiling, small bubbles — a sauce or soup
BakeCook in the dry heat of the oven — muffins, a tray of vegetables
FryCook in a little hot oil in a pan — an egg, stir-fry vegetables
  • Even pieces matter more than pretty pieces: a big chunk and a small chunk in the same pan means one is raw when the other is burnt.

3.4Ovens and timing

  • "Preheat the oven to 180 °C" means turn it on before you start, so it is already hot when the food goes in. An oven takes 10–15 minutes to heat up.
  • Oven temperatures: slow about 150 °C, moderate about 180 °C, hot 200–220 °C. A fan-forced oven cooks hotter, so set it about 20 °C lower than the recipe says.
  • Work backwards from serving time. Dinner at 6:00 pm and a recipe that takes 45 minutes means you start at 5:15 pm — and earlier if the oven needs preheating.
  • Use a timer. Every time. Nobody remembers when the muffins went in.
Unit 4Food TechnologyPaddock to plate · Seasons · Waste · Design brief

Where food comes from

A banana in a Brisbane lunchbox was hanging on a tree in Far North Queensland a week or two ago. Everything you eat has a journey, and every step of it costs something — which is why the food you throw away matters more than you think.

4.1Paddock to plate

PADDOCK grown in soil or raised on a farm HARVEST picked, milked, caught or collected PROCESSING washed, milled, cooked, frozen or packed SHOP supermarket, market, greengrocer, butcher YOUR PLATE stored, cooked and eaten at home truck truck truck car scraps → compost → back into the soil Every step uses water, energy, fuel and packaging — so food thrown away at the end wastes all of it.
Figure 4.1 — the food chain, human versionFive steps between a paddock and your fork, and a truck between most of them. The dashed arrow is the part most people forget: scraps that go to compost feed the soil that grows the next crop. Scraps that go to landfill just rot.
  • Australia grows most of its own food. Queensland grows nearly all the country's bananas and most of its sugar and mangoes; Tasmania is apples and salmon; the Murray–Darling grows the rice, cotton, oranges and much of the vegetables; wheat comes from the dry inland belt across every mainland state.
  • The distance food travels from paddock to plate is its food miles. Fewer miles usually means fresher food, less fuel, and a cheaper price.

4.2Eating with the seasons

SeasonIn season in Queensland (examples)
Summer (Dec–Feb)mangoes, lychees, watermelon, sweet corn, tomatoes
Autumn (Mar–May)apples, pears, pumpkin, sweet potato, avocados
Winter (Jun–Aug)strawberries (Queensland's season is winter), oranges and mandarins, broccoli, cauliflower
Spring (Sep–Nov)pineapples, bananas (all year), asparagus, peas, zucchini
  • Food in season is picked ripe, close by and in bulk — so it tastes better, costs less and has travelled less. Mangoes in July have come from overseas or a cold store, and the price tag shows it.

4.3Food waste and packaging

  • Australia throws away about 7.6 million tonnes of food a year (approx.); households throw away roughly one in five bags of groceries they buy. Every wasted bag wasted the water, fuel, work and money that got it home.
  • Cut the waste: plan meals and shop from a list; store food properly (the fridge, sealed containers, older food at the front); use leftovers for tomorrow's lunch; freeze what you can't eat in time; compost the scraps.
  • Use by versus best before: a use-by date is about safety — don't eat it after that day. A best-before date is about quality — it is still safe afterwards, just not at its best. Most food thrown out is best-before food that was perfectly fine.
  • Packaging keeps food safe and fresh, but most of it is used once. Buy loose fruit instead of the plastic-wrapped tray, refill a water bottle, bring your own bags, and check the Australasian Recycling Label on the packet before you decide which bin.

4.4Your first design brief

Technology subjects are about designing: making something for a purpose, then judging it honestly. In food, the project might be: "Design a healthy snack for a Saturday morning sports team."

  1. Understand the brief. Who is it for, what is it for, and what are the limits? A sports team is hungry, in a hurry, and eating outdoors.
  2. Write the criteria for success — the things your snack must do to count as a success: at least two food groups; no nuts (school rule); no cooking on the day; costs under a dollar a serve; survives two hours in an esky.
  3. Generate ideas — several, quickly. Fruit kebabs. Wholemeal pikelets. Yoghurt cups with berries. Cheese and crackers.
  4. Choose and plan. Pick the idea that meets the most criteria; write the recipe, the shopping list and the timing.
  5. Make it — safely and hygienically, following your own plan.
  6. Evaluate. Test it against every criterion, ask the people it was for, and write down what you would change. "It was nice" is not an evaluation; "the pikelets went soggy in the esky — next time, pack them separately from the fruit" is.
Evaluating like a designer

Go back to your criteria, one at a time, and give each a yes or no with a reason. Then add one improvement. Markers are looking for honesty and specifics, not for a snack that scored a perfect ten.

Start hereQCAA BiologyGeneral · Units 3–4

From a whole ecosystem down to one gene, and back out to four billion years.

Units 1 and 2 built the organism. Units 3 and 4 zoom out to populations and ecosystems, then in to the DNA that makes each generation resemble the last, and finally out again to the process that has shaped every species. Four topics, mapped straight onto Units 3 and 4 of the QCAA syllabus — the ones the external examination is written on.

The mapFour topics, two units

  1. Describing biodiversity (Unit 3, Topic 1) — how to measure diversity so two sites can actually be compared, Simpson's index worked from raw counts, classification and cladistics, and reading a cladogram as a hypothesis about ancestry.
  2. Ecosystem dynamics (Unit 3, Topic 2) — energy flow and the 10 % rule with real numbers, nutrient cycles at senior level, exponential and logistic population growth, keystone species, succession, and the Great Barrier Reef as the Queensland case study.
  3. DNA, genes and the continuity of life (Unit 4, Topic 1) — replication, meiosis, gene expression, mutation, the inheritance patterns you must be able to work as ratios and pedigrees, and the biotechnology toolkit.
  4. Continuity of life on Earth (Unit 4, Topic 2) — the evidence for evolution, natural selection explained as a chain, the four microevolutionary forces, speciation, and mass extinctions.
What this course is assessed on

QCAA Biology is graded on four instruments. IA1, the data test (10 %), rewards the ability to read an unfamiliar table or graph, calculate from it (Simpson's index, percentage change, a Lincoln index) and draw a conclusion the data actually supports. IA2, the student experiment (20 %), rewards a refined research question, a controlled method, and honest evaluation of your own uncertainty. IA3, the research investigation (20 %), rewards finding real evidence for a claim and judging its quality. The external examination (50 %) covers Units 3–4 in two papers: Paper 1 is multiple choice and short response; Paper 2 is short response with extended reasoning. Every drill on this site is written for the exam papers, and the calculation drills double as data-test practice.

The mark scheme in one sentence

Senior Biology rewards a chain of reasoning: name the structure or process, state what it does, and link it to the consequence with "so" or "because". "Coral bleaching reduces biodiversity" is a claim; "warm water makes coral expel its zooxanthellae, so the coral loses its main energy source, so reef fish that depend on live coral decline, so species richness falls" is an answer.

Unit 3 · Topic 1QCAA BiologyDescribing biodiversity

Describing biodiversity

"This forest is more diverse than that one" is not a scientific statement until you can put a number on it and say how you counted. This topic gives you the numbers, then the tree diagrams that show how the species are related.

1.1Three levels, and what a species is

Biodiversity is measured at three levels. Genetic diversity is the variety of alleles within a species; species diversity is the variety of species in an area; ecosystem diversity is the variety of habitats and communities across a region. A question that only says "biodiversity" usually wants species diversity — but say which level you mean.

The biological species concept defines a species as a group of organisms that can interbreed to produce fertile offspring. It works well for living, sexually reproducing organisms and badly for everything else: it cannot be applied to fossils, to bacteria that reproduce asexually, or to populations that never meet. That is why biologists also use a morphological concept (shared physical form) and, increasingly, a phylogenetic concept (the smallest group sharing a common ancestor, judged from DNA). The exam expects you to know the definition and its limits.

1.2Measuring diversity: richness is not enough

Species richness is simply the number of species present. It is easy to count and easy to compare, but it ignores how the individuals are shared out. Two woodlands can each have three bird species and be nothing alike: one with the birds in roughly equal numbers, the other with one species making up 90 % of every sighting. The second is dominated by one species, and a single disease or cold snap could empty it. That second property is species evenness, and a diversity index is a number that combines both.

Worked example — Simpson's diversity index

The QCAA formula is SDI = 1 − Σ n(n − 1) ÷ N(N − 1), where n is the number of individuals of one species and N is the total number of individuals of all species. SDI runs from 0 (one species only) up towards 1 (many species, evenly shared).

Site A: 50 wrens, 30 robins, 20 honeyeaters. N = 100.

Σ n(n−1) = 50×49 + 30×29 + 20×19 = 2450 + 870 + 380 = 3700.  N(N−1) = 100×99 = 9900.

SDI = 1 − 3700 ÷ 9900 = 1 − 0.374 = 0.63.

Site B: 90 wrens, 5 robins, 5 honeyeaters. N = 100, so the richness is identical.

Σ n(n−1) = 90×89 + 5×4 + 5×4 = 8010 + 20 + 20 = 8050.  SDI = 1 − 8050 ÷ 9900 = 1 − 0.813 = 0.19.

Same three species, same hundred birds — and the index drops from 0.63 to 0.19 because site B is dominated by wrens. That is the sentence a data-test answer needs: "Site A has the higher diversity (0.63 vs 0.19); the richness is the same, so the difference is due to evenness."

Where the marks go missing

Always show Σ n(n−1) and N(N−1) as separate lines before you divide. If you subtract from 1 at the wrong step, or forget to subtract at all, a marker can still give working marks if the lines are there. And quote the index to two decimal places unless told otherwise.

1.3Sampling: how the counts are made

MethodUsed forWhat it gives youIts weakness
QuadratPlants and slow or fixed animalsDensity (individuals per m²) or percentage cover, from randomly placed framesRandom placement is essential; a few quadrats in a patchy habitat give a wildly wrong mean
TransectChange along a gradient — shore to dune, creek to ridgeHow abundance changes with distance, usually with quadrats at intervals along the lineOnly samples along the line; it is not a random sample of the whole area
Mark–recaptureMobile animalsA population estimate from the Lincoln index: N = M × n ÷ mAssumes marks do not affect survival, no births, deaths or migration between samples, and thorough mixing
Camera trap / acoustic surveyShy, nocturnal or rare animalsPresence and relative activityGives presence, not a reliable count

Lincoln index, worked: 40 skinks are caught, marked and released (M = 40). A week later 50 are caught (n = 50), of which 8 carry a mark (m = 8). Estimate N = 40 × 50 ÷ 8 = 250. The logic is a proportion: marked animals are 8 in 50 of the second catch, so the 40 marked animals should be 8 in 50 of the whole population.

1.4Classification and cladistics

Linnaean classification files species into nested ranks — domain, kingdom, phylum, class, order, family, genus, species — and gives each a two-part binomial name (Macropus rufus, genus first, both italic). It is a filing system. Cladistics is a claim about history: it groups organisms by shared derived characteristics, features that arose in a common ancestor and were inherited by all of its descendants, and it draws the result as a cladogram.

Jaws Four limbs Amniotic egg Fur and milk shared by everything above this point tetrapods: frog and above amniotes: lizard and kangaroo mammals only Lamprey Shark Frog Lizard Kangaroo outgroup: no jaws Common ancestor time runs from here towards the tips DERIVED CHARACTERS IN RED
Figure 1.1 — reading a cladogramEach node (branch point) is a hypothetical common ancestor; each red tick is a derived character that appeared once and was inherited by everything beyond it. Two taxa that share a node no one else shares are sister taxa (lizard and kangaroo here), and a node with all of its descendants is a clade. The lamprey is the outgroup: it lacks the derived characters and shows what the ancestral state looked like. The order of the tips along the top means nothing by itself — you could swing any branch around its node and the relationships would be identical.
Ancestral, derived, and the trap of "similar"

A feature shared because it was in the common ancestor of the whole group (a backbone, for these five) is ancestral and tells you nothing about who is closest to whom. Only derived characters build the tree. Similarity that evolved separately — wings in bats and birds, streamlined bodies in dolphins and sharks — is analogous, the product of convergent evolution, and must be excluded. That is why DNA sequences have become the preferred data: they are inherited, they change at a roughly known rate, and a sequence match of thousands of bases is very unlikely to be a coincidence.

Building a tree from DNA follows one rule: fewer differences means a more recent common ancestor. If species X and Y differ at 4 bases in a gene while each differs from Z at 20, X and Y are sister taxa and Z branched off earlier. The principle of parsimony then chooses, among all possible trees, the one that requires the fewest evolutionary changes.

1.5Two ways to spend a life: r and K

r-selected speciesK-selected species
StrategyMany offspring, little or no parental careFew offspring, heavy investment in each
Maturity and lifespanReproduce early, die youngMature late, live long
Population sizeBooms and crashes, rarely near carrying capacityStable, close to carrying capacity K
SuitsUnstable or newly opened habitats — the first colonisers after a fireStable, crowded habitats where competition decides who survives
ExamplesCane toads, locusts, dandelionsKoalas, humpback whales, kauri pines

The letters come from the population-growth equation in Unit 3, Topic 2: r is the intrinsic growth rate and K the carrying capacity. Most real species sit somewhere between the two extremes; the value of the model is that it predicts which kind of species recovers first after a disturbance, and which is most at risk when one is lost.

Unit 3 · Topic 2QCAA BiologyEcosystem dynamics

Ecosystem dynamics

An ecosystem is energy flowing one way and matter going round in circles, with populations rising and falling in between. Every question in this topic comes back to one of those three ideas — and the Great Barrier Reef is where the exam likes to ask them.

2.1Energy flow and the 10 % rule

Producers capture light and store it as chemical energy; the rate at which they do so is gross primary productivity (GPP). They respire some of it away, and what is left to build tissue is net primary productivity (NPP = GPP − respiration). Only NPP is available to the next trophic level — and of that, only about a tenth ends up as tissue in the consumer.

PRODUCERS PRIMARY CONSUMERS SECONDARY TERTIARY 10 000 1000 100 10 seagrass, algae, coral 10 % of the level below 10 % again 10 % again About 90 % is lost at every step, as: • heat from respiration • parts not eaten • faeces and urine PYRAMID OF ENERGY (kJ m⁻² yr⁻¹)
Figure 2.1 — why food chains are shortA pyramid of energy can never be inverted, because each level is built from the one below it. Pyramids of numbers and of biomass can be: one gum tree feeds thousands of insects, and a small standing crop of fast-growing phytoplankton supports a larger mass of slow-growing zooplankton. After four or five transfers there is simply not enough energy left to support another level.
Worked example — transfer efficiency

Efficiency = energy in the higher level ÷ energy in the level below × 100.

Producers in a reef flat fix 8500 kJ m⁻² yr⁻¹ as NPP; the herbivorous fish that graze them store 950 kJ m⁻² yr⁻¹. Efficiency = 950 ÷ 8500 × 100 = 11.2 %. That is close to the 10 % rule of thumb, which is all the rule ever was: real transfers run from about 5 % to 20 %.

2.2Matter goes round: the cycles

CycleMain reservoirKey processes to nameHuman disruption
CarbonOceans (dissolved CO₂ and carbonate), then fossil fuels and rockPhotosynthesis takes CO₂ out of the air; respiration, decomposition and combustion return it. Ocean uptake forms carbonic acidBurning fossil fuels and clearing forests raise atmospheric CO₂, which warms the planet and acidifies the sea — both hit reefs directly
NitrogenThe atmosphere, 78 % N₂ — but plants cannot use itNitrogen fixation (bacteria, lightning) makes ammonium; nitrification makes nitrite then nitrate; plants assimilate nitrate; decomposers ammonify dead matter; denitrification returns N₂ to the airFertiliser run-off adds nitrate to waterways, causing algal blooms, oxygen depletion and dead zones — the crown-of-thorns starfish outbreaks on the reef are linked to it
WaterOceansEvaporation, transpiration, condensation, precipitation, run-off and infiltrationLand clearing raises run-off and sediment; irrigation drains rivers before they reach the sea
Name the bacteria's job, not the bacteria

You are not expected to know genus names. You are expected to say that nitrogen-fixing bacteria in root nodules and soil convert N₂ to ammonium, that nitrifying bacteria convert ammonium to nitrate, and that denitrifying bacteria in waterlogged soil convert nitrate back to N₂. The three verbs are the marks.

2.3Population growth: exponential and logistic

A population changes by four routes: change = (births + immigration) − (deaths + emigration). When resources are unlimited, the number added each generation is proportional to the number already there, and the population grows exponentially — a J-shaped curve that doubles at a fixed interval. No population does this for long. As it grows, food, space and shelter run short, predators and disease find it, and the growth rate falls until births balance deaths. The result is a logistic, S-shaped curve that levels off at the carrying capacity, K: the maximum population the environment can support indefinitely.

Phase of the logistic curveWhat is happeningGrowth rate
LagFew individuals, so few births; colonisers are settling inLow
Exponential (log)Plenty of resources; each generation adds proportionally moreHighest — the steepest part of the curve
DecelerationResources tightening, competition and predation risingFalling
Plateau (at K)Births equal deaths; the population fluctuates around carrying capacityAbout zero

The factors that pull a population back towards K are density-dependent: competition, predation, parasitism and disease all bite harder as the population becomes crowded. Density-independent factors — a cyclone, a flood, a bushfire, a marine heatwave — kill a similar proportion whether the population is large or small, and they are what knock a population off its plateau in the first place.

Worked example — growth rate

A dugong population of 500 records 60 births, 20 deaths, 10 arrivals and 5 departures in a year. Change = (60 + 10) − (20 + 5) = 70 − 25 = +45. The new population is 545, and the growth rate is 45 ÷ 500 × 100 = 9 % per year. If the same numbers repeated each year the curve would be exponential; the data test will usually then give you a later year in which deaths have risen, and ask why.

2.4Keystone species and succession

A keystone species has an effect on its community out of all proportion to its abundance: remove it and the community collapses or changes state. Sea otters on the Pacific coast eat urchins; without otters, urchins strip the kelp forest bare. On Australian reefs, large predatory fish and the giant triton snail keep the crown-of-thorns starfish in check, and parrotfish keep algae from smothering coral. The test is not "is it important?" but "does the community reorganise when it is removed?"

Ecological succession is the predictable sequence of communities that replace one another after a disturbance. Primary succession starts on bare rock or new sand with no soil — a lava flow, a retreating glacier, a new dune — and its pioneer species (lichens, mosses, then grasses) must build the soil before anything larger can grow. Secondary succession starts where soil already exists, after fire, flood or clearing, and is much faster. Both end in a climax community in balance with the local climate. As succession proceeds, species richness, biomass and the complexity of food webs all rise, and the early r-selected pioneers give way to K-selected competitors.

2.5The Queensland case: the Great Barrier Reef

Reef-building corals are animals that host photosynthetic algae, zooxanthellae, inside their tissue. The algae supply up to 90 % of the coral's energy and give it its colour; the coral supplies shelter and nutrients. That mutualism only works within a narrow temperature window. When water stays about 1 °C above the normal summer maximum for weeks, the algae produce damaging reactive oxygen and the coral expels them. The coral is now white — bleached — and starving. If the water cools within a few weeks the algae return; if it does not, the coral dies and algae overgrow the skeleton.

PressureMechanismEffect on the reef community
Marine heatwaves (mass bleaching 1998, 2002, 2016, 2017, 2020, 2022, 2024)Density-independent: the whole reef is hit regardless of coral densityLoss of live coral cover; the fish, crustaceans and molluscs that need live coral decline, so richness and Simpson's index fall; fast-growing branching corals die first, so the reef becomes dominated by fewer, tougher species — lower evenness
Ocean acidificationDissolved CO₂ lowers pH and the carbonate available for skeletonsSlower coral growth and weaker skeletons; recovery after bleaching is slower
Nutrient and sediment run-offCleared catchments and fertiliser feed algal blooms; sediment blocks lightAlgae outcompete coral larvae; more phytoplankton feeds crown-of-thorns larvae, so outbreaks follow wet seasons
Crown-of-thorns starfish outbreaksA native predator of coral whose numbers explode when its own predators are fished and its larvae are well fedEach starfish eats up to 10 m² of coral a year; outbreaks are the largest single cause of coral loss after bleaching
How to answer a reef question

The examiners want the chain, not the headline. Warmer water → zooxanthellae expelled → coral loses its energy source → coral dies if heat persists → habitat and food for coral-dependent species disappear → species richness and evenness both fall → the community may shift to an algae-dominated state that is stable and hard to reverse. Then, if asked about management: reduce run-off (local, fast), control starfish (local, ongoing), cut emissions (global, the only fix for the cause).

Unit 4 · Topic 1QCAA BiologyDNA, genes & the continuity of life

DNA, genes and the continuity of life

One molecule copies itself, is read to make proteins, is shuffled at meiosis and occasionally miscopied. Everything in this topic — ratios, pedigrees, PCR — is a consequence of those four facts.

3.1DNA structure and semi-conservative replication

DNA is a double helix of two antiparallel strands. Each strand is a chain of nucleotides — a deoxyribose sugar, a phosphate, and one of four bases — joined by a sugar–phosphate backbone. The strands are held together by hydrogen bonds between complementary base pairs: adenine with thymine (two hydrogen bonds), guanine with cytosine (three). Complementarity is the whole point: either strand contains the information to rebuild the other.

Parental DNA two old strands, base-paired Replication fork helicase unzips the hydrogen bonds here complementary base pairing Daughter molecule 1 one old strand, one new strand identical in sequence to the parent Daughter molecule 2 one old strand, one new strand also identical to the parent old strand, used as the template new strand, built by DNA polymerase
Figure 3.1 — semi-conservative replicationEach daughter molecule keeps ("conserves") one of the two original strands and gains one new one — hence semi-conservative. Helicase separates the strands; DNA polymerase adds free nucleotides to each exposed template by complementary base pairing, working only in the 5′ → 3′ direction. Meselson and Stahl proved the model by growing bacteria on heavy nitrogen and watching the DNA density halve, then split, over successive generations.

3.2The cell cycle and meiosis

The cell cycle is interphase (G₁ growth, S for DNA synthesis, G₂ preparation) followed by division. Mitosis produces two genetically identical diploid cells for growth and repair. Meiosis produces four genetically different haploid gametes, and it is the source of almost all the variation on which natural selection works.

StageWhat happensWhy it matters for variation
Prophase IHomologous chromosomes pair up; non-sister chromatids swap segments at chiasmataCrossing over makes new combinations of alleles on one chromosome — recombinant chromatids that existed in neither parent
Metaphase IHomologous pairs line up on the equator; which member of each pair faces which pole is randomIndependent assortment: with 23 pairs a human can make 2²³ (about 8 million) different gametes from this alone
Anaphase IHomologous chromosomes are pulled apart — the number is halved hereEach daughter cell gets one chromosome from each pair, so the gametes are haploid
Meiosis IISister chromatids separate, like mitosis, in both cellsFour haploid cells, each genetically unique
FertilisationAny sperm meets any eggRandom fertilisation multiplies the combinations again: 8 million × 8 million

3.3Gene expression: transcription and translation

  1. Transcription (in the nucleus). RNA polymerase binds the promoter, unwinds the gene, and builds a strand of pre-mRNA complementary to the template strand — uracil in place of thymine. In eukaryotes the non-coding introns are cut out and the exons spliced together to make mature mRNA, which leaves through a nuclear pore.
  2. Translation (at a ribosome). The ribosome reads the mRNA three bases at a time. Each codon is matched by a tRNA carrying the complementary anticodon and one specific amino acid. The ribosome joins the amino acids by peptide bonds, from the start codon AUG to a stop codon (UAA, UAG or UGA).
  3. Folding. The polypeptide folds into its tertiary structure. Its shape — and so its function — is set by the order of amino acids, which was set by the order of bases. That chain is what "the gene codes for the protein" means.
The genetic code, and why it matters for mutations

The code is triplet (three bases per amino acid), degenerate (64 codons for 20 amino acids, so most amino acids have several codons), non-overlapping and universal. Degeneracy is why some base substitutions are silent: change GAA to GAG and you still get glutamic acid. Universality is why a human gene inserted into a bacterium is read correctly — the basis of recombinant insulin.

3.4Mutations

TypeWhat changesEffect on the protein
Substitution (point mutation)One base replaced by anotherSilent if the new codon gives the same amino acid; missense if it gives a different one (sickle-cell: GAG → GTG swaps glutamic acid for valine); nonsense if it creates a stop codon, truncating the protein
Insertion or deletionOne or more bases added or removedUnless a multiple of three, it causes a frameshift: every codon downstream is misread, so the protein is usually non-functional
ChromosomalWhole segments duplicated, deleted, inverted or moved; or whole chromosomes gained or lost (non-disjunction at meiosis)Many genes affected at once — trisomy 21 (Down syndrome) is one extra chromosome 21

Mutations happen spontaneously through copying errors and are made more frequent by mutagens — UV and ionising radiation, and chemicals such as those in tobacco smoke. Only mutations in gametes (germline) are inherited; a mutation in a skin cell may cause a cancer but dies with the individual. And because mutation is the only source of new alleles, it is the raw material of evolution even though most individual mutations are neutral or harmful.

3.5Inheritance patterns you must be able to work

CrossParentsOffspring ratioHow to see it
Monohybrid, both heterozygousAa × Aa3 : 1 phenotypes (AA, Aa, Aa, aa — 1 : 2 : 1 genotypes)A 2 × 2 Punnett square; one in four shows the recessive trait
Test crossA? × aaAll dominant if the parent is AA; 1 : 1 if it is AaThe way to find an unknown genotype
Dihybrid, both heterozygous, genes on different chromosomesAaBb × AaBb9 : 3 : 3 : 1Each parent makes four gamete types (AB, Ab, aB, ab); a 4 × 4 square. The ratio only holds because of independent assortment
CodominanceIAIB × ii (blood groups)1 : 1 group A to group BBoth alleles are fully expressed; AB blood shows both antigens
Sex-linked recessiveXBXb (carrier mother) × XBYHalf the sons affected; no daughters affected, half are carriersMales have one X, so one recessive allele is enough — which is why red–green colour blindness and haemophilia are mostly seen in males
I II I-1 XBY I-2 XBXb II-1 XbY II-2 XBXb II-3 XBY II-4 XBXB II-1 is affected: his only X came from his carrier mother, and it carried the recessive allele. No daughter can be affected here: every daughter receives the father's dominant allele on his X. unaffected male unaffected female affected male (filled) carrier female (central dot) line between parents: mating drop and bar below: the children
Figure 3.2 — reading a pedigreeTo decide the mode of inheritance, look for the give-aways. Two unaffected parents with an affected child means the trait is recessive. A trait appearing in every generation, with an affected child always having an affected parent, suggests dominant. Far more affected males than females, and affected sons of unaffected (carrier) mothers, suggests X-linked recessive. And an affected father with an affected son rules X-linkage out — a father gives his son a Y, never an X.

3.6Biotechnology: the toolkit

TechniqueHow it worksWhat it is for
PCR (polymerase chain reaction)Cycles of denaturing at ~95 °C to separate the strands, annealing at ~55 °C so primers bind either side of the target, and extension at ~72 °C as heat-stable Taq polymerase copies it. Each cycle doubles the target: 2n copies after n cycles, so 30 cycles give about a billionAmplifying a tiny sample — a crime-scene trace, an ancient bone, a viral test swab — into enough DNA to analyse
Gel electrophoresisDNA is cut by restriction enzymes at specific recognition sequences, loaded into a gel, and pulled towards the positive electrode because DNA is negatively charged. Smaller fragments move further. A ladder of known sizes runs alongsideDNA profiling (comparing fragment patterns between individuals), paternity, checking a PCR product
Recombinant DNAThe same restriction enzyme cuts a gene and a bacterial plasmid, leaving matching sticky ends; DNA ligase joins them; the plasmid is put into bacteria which then express the geneHuman insulin, growth hormone, and vaccines made in bacteria or yeast
DNA sequencingReading the base order of a fragment or a whole genomeBuilding cladograms from sequence differences; diagnosing inherited disease
Two things the marker will check

Why Taq? Because the 95 °C denaturing step would destroy an ordinary polymerase every cycle; Taq comes from a hot-spring bacterium and survives it. Which way do fragments run? Towards the positive electrode, because the phosphate backbone is negative, and the small ones run furthest because they thread through the gel more easily. "Bigger fragments move further" costs the whole question.

Unit 4 · Topic 2QCAA BiologyContinuity of life on Earth

Continuity of life on Earth: evolution

Natural selection is not "survival of the fittest" — it is a chain of four links, and an exam answer that skips one scores like an answer that skips them all. This topic writes the chain out, then follows it from a single population to the whole fossil record.

4.1The evidence for evolution

Line of evidenceWhat is observedWhat it shows
Fossil recordSimpler organisms in older rock, transitional forms (Tiktaalik between fish and tetrapods), and absolute dates from radiometric decayLife has changed over time, in a sequence
Comparative anatomyHomologous structures: the same bones in a human arm, whale flipper and bat wing, doing different jobs. Vestigial structures: the human appendix, hind-limb bones in whalesCommon ancestry, with structures modified for new functions
Comparative embryologyVertebrate embryos share gill pouches and a tail early in developmentShared developmental programs inherited from a common ancestor
BiogeographyMarsupials dominate Australia; island species resemble the nearest mainland; Darwin's finchesSpecies evolve where they are, from whatever got there
Molecular biologyA universal genetic code; the more similar two species' DNA and proteins, the more recently they diverged (humans and chimpanzees share ~98 % of DNA)All life is related, and the differences accumulate with time — a molecular clock
Direct observationAntibiotic resistance in bacteria, insecticide resistance in mosquitoes, industrial melanism in peppered mothsNatural selection happening on human timescales
Homologous is not analogous

Homologous structures share an origin and may differ in function (arm, flipper, wing — same bones). Analogous structures share a function but not an origin (a bird's wing and an insect's wing). Homology is evidence of divergent evolution from a common ancestor; analogy is evidence of convergent evolution, where similar environments select similar solutions. Examiners set this distinction every year.

4.2Natural selection as a chain

1 — VARIATION 2 — SELECTION 3 — INHERITANCE a mutation gave some beetles a dark allele 6 light, 6 dark, on dark bark birds see the light beetles and eat them a red cross marks each one eaten the dark survivors breed and pass the allele on next generation: 2 light, 10 dark the variation is heritable and existed before the birds arrived, not because of them dark beetles have the higher fitness here: more of them survive to reproduce the allele frequency has shifted: that shift is evolution
Figure 4.1 — the chainWritten out, the four links are: (1) there is heritable variation in the population, produced by mutation and reshuffled by meiosis; (2) a selection pressure in the environment means (3) some variants survive and reproduce more than others — they have higher fitness; (4) their alleles are passed on, so the allele frequency in the next generation changes. Say all four. And note the tense: the beetles did not turn dark in order to hide; the dark ones that already existed were the ones left to breed.
Fitness means one thing

In biology fitness is reproductive success — the number of fertile offspring an individual leaves relative to others — not strength or health. A trait is only "adaptive" in a particular environment: the dark allele is a liability on pale lichen-covered bark, which is exactly what happened to the peppered moth once air pollution fell.

4.3Microevolution: four ways allele frequencies change

MechanismWhat happens to allele frequenciesRandom or directed?Example
MutationA new allele appears — the only source of new variationRandomThe dark allele in the beetles above
Natural selectionAlleles that raise fitness become more commonDirected by the environmentAntibiotic resistance; industrial melanism
Gene flowMigrants bring alleles in or take them out; populations become more alikeDepends on who movesPollen blown between two eucalypt stands
Genetic driftFrequencies change by chance from one generation to the next; strongest in small populations, and some alleles are lost altogetherRandomThe bottleneck effect: a population crashes and the survivors carry only a subset of the alleles (cheetahs, northern elephant seals). The founder effect: a few colonists start a new population with only the alleles they happened to carry (island populations, the Amish)

Drift and selection are the pair students confuse. Ask one question: did the allele spread because it helped, or because of luck? If the individuals that survived a cyclone were simply the ones in the right place, that is drift, even if the population is now genetically different. Drift reduces genetic diversity, which is why the small surviving populations of many endangered species are so vulnerable: they have lost the variation on which any future selection could act.

4.4Speciation

A new species has formed when two populations can no longer interbreed to produce fertile offspring — when they are reproductively isolated. The standard route is allopatric speciation:

  1. A geographic barrier splits one population into two: a river changes course, sea level rises and cuts off an island, a mountain range lifts, rainforest fragments into patches separated by dry woodland.
  2. Gene flow between the two stops.
  3. Each population experiences its own selection pressures and its own mutations and drift, so the allele frequencies diverge.
  4. Over many generations the populations become so different that, if they meet again, they cannot produce fertile offspring. Reproductive isolation is complete.

Sympatric speciation is the rarer case with no barrier: a population splits within the same area, usually because of a shift in habitat or timing — insects that switch to a new host plant and then mate only on it, or plants that double their chromosome number (polyploidy) and can no longer cross with the parent form. The Queensland examples worth knowing are the wet-tropics rainforest fauna, split into separate species by dry corridors during past ice ages, and the Lake Eacham rainbowfish, isolated in a single crater lake.

Isolating mechanismPrezygotic or postzygotic?How it works
TemporalPrezygoticBreeding at different seasons or times of day
BehaviouralPrezygoticDifferent courtship songs or displays are not recognised
Mechanical / gameticPrezygoticIncompatible reproductive structures, or sperm that cannot fertilise the egg
Hybrid inviability or sterilityPostzygoticThe zygote forms but dies, or grows into a sterile adult — the mule from a horse and a donkey

4.5Macroevolution and mass extinctions

Microevolution is change within a species; macroevolution is the pattern above species level — the origin of new groups, and their loss. Two patterns recur. Divergent evolution and adaptive radiation: one ancestor gives rise to many species filling different niches, fastest when niches are empty (marsupials across Australia; Darwin's finches on the Galapagos). Convergent evolution: unrelated lineages arrive at similar forms because they face similar pressures (the marsupial and placental moles).

The fossil record shows five mass extinctions, in which a large fraction of species vanished in a geologically short time. The end-Permian (about 252 million years ago), driven by enormous volcanic eruptions in Siberia, removed roughly 90 % of marine species. The end-Cretaceous (66 million years ago), driven by an asteroid impact and volcanism, removed the non-avian dinosaurs. Each one was followed by adaptive radiation into the vacated niches — mammals only diversified once the dinosaurs were gone. Many biologists argue a sixth mass extinction is under way now, driven by habitat loss, invasive species, overharvesting and climate change; the current extinction rate is estimated at 100 to 1000 times the background rate seen in the fossil record.

Why all of Unit 3 mattered

The link the examiners want you to make: extinction removes genetic diversity within species (drift in small populations), species diversity (lower richness and Simpson's index), and ecosystem function (keystone species lost, food webs simplified). Conserving a species means conserving a population large enough for selection, not drift, to be in charge of its future.

Start hereQCAA ChemistryGeneral · Units 3–4

Reactions that go both ways, electrons that go one way, and carbon that goes everywhere.

Units 1–2 built the tools: the mole, bonding, the balanced equation. Units 3–4 use them on the chemistry that runs industry — equilibria you can push, batteries and electrolysis, the whole family of organic compounds, and how a chemist designs a synthesis that is safe, efficient and green. This is the half the external exam is written on.

The mapFour topics, two units

  1. Chemical equilibrium systems (Unit 3, Topic 1) — reversible reactions and dynamic equilibrium, Kc with a worked calculation, Le Chatelier's principle applied to concentration, pressure and temperature, and acids and bases: Brønsted–Lowry, strong and weak, Ka, pH, titration curves, indicators and buffers.
  2. Oxidation and reduction (Unit 3, Topic 2) — oxidation numbers, half-equations, galvanic cells and standard electrode potentials, electrolytic cells and electroplating, and corrosion.
  3. Properties and structure of organic materials (Unit 4, Topic 1) — homologous series and functional groups, IUPAC naming, isomers, physical properties from intermolecular forces, the key reactions, polymers, and reading IR, mass and ¹H NMR spectra.
  4. Chemical synthesis and design (Unit 4, Topic 2) — reaction pathways, yield and atom economy, green chemistry, an industrial synthesis worked through, and the analytical checks on purity.
What this course is assessed on

IA1 — data test (10%). Short responses to unseen data: calculations from a table, reading a graph, identifying a trend. Rewards accuracy with units and significant figures. IA2 — student experiment (20%). You modify a practical, collect data and write it up: rewards a testable research question, error analysis and a conclusion that goes only as far as the data. IA3 — research investigation (20%). A claim evaluated from published evidence: rewards judging sources and linking evidence to chemistry. External examination (50%). Two papers on Units 3–4: multiple choice and short response, then extended calculations and explanations. Every mark on it is on this page.

Unit 3 · Topic 1QCAA ChemistryChemical equilibrium systems

Chemical equilibrium systems

Most reactions do not run to completion; they run to a balance, where the forward and reverse reactions are going at the same rate and the concentrations stop changing. Industry lives on tilting that balance — and acids and bases are the equilibrium you meet every day.

1.1Dynamic equilibrium

In a reversible reaction the products can re-form the reactants. In a closed system the forward rate falls as reactants are used up and the reverse rate rises as products build, until the two rates are equal. That is dynamic equilibrium: both reactions still run, nothing stops, but the concentrations stay constant. It is reached from either side, and it says nothing about how much product there is — an equilibrium can lie far to the left, far to the right, or anywhere between.

time → concentration (mol L⁻¹) equilibrium reached rates equal, concentrations constant [N₂O₄] = 0.0100 [NO₂] = 0.0400 N₂O₄ falls — it is used up NO₂ rises twice as fast — 2 mol for every 1 mol of N₂O₄ 0.1000.0400.0100
Figure 1.1 — reaching equilibrium: N₂O₄(g) ⇌ 2NO₂(g)The curves flatten at the same moment — that is the signature of equilibrium on a graph, and an exam will ask you to mark it. Read the equilibrium concentrations off the flat parts: [N₂O₄] = 0.0100 and [NO₂] = 0.0400 mol L⁻¹. Those two numbers are all you need for Kc.

1.2The equilibrium constant, Kc

For aA + bB ⇌ cC + dD, the equilibrium constant is Kc = [C]c[D]d ÷ [A]a[B]b: products over reactants, each raised to its coefficient, using equilibrium concentrations in mol L⁻¹. Solids and pure liquids are left out (their concentration does not change). Kc depends on temperature only: change the temperature and you get a new constant; change anything else and the system shifts until the same Kc is satisfied again.

Two worked Kc calculations

From Figure 1.1. N₂O₄ ⇌ 2NO₂. Kc = [NO₂]² ÷ [N₂O₄] = (0.0400)² ÷ 0.0100 = 0.00160 ÷ 0.0100 = 0.160. Small: the equilibrium lies to the left at this temperature.

H₂(g) + I₂(g) ⇌ 2HI(g). At equilibrium [H₂] = 0.200, [I₂] = 0.200, [HI] = 1.60 mol L⁻¹. Kc = (1.60)² ÷ (0.200 × 0.200) = 2.56 ÷ 0.0400 = 64.0. Large: the equilibrium lies to the right. Kc here has no units because the powers cancel; when they do not, the unit is written.

Reading Kc: much greater than 1, mostly products; much less than 1, mostly reactants; near 1, comparable amounts. The reaction quotient Q is the same expression with any concentrations: if Q < Kc the reaction moves right to reach equilibrium; if Q > Kc it moves left.

1.3Le Chatelier's principle

Le Chatelier's principle: if a system at equilibrium is disturbed, it shifts in the direction that partially counteracts the disturbance. It is a prediction tool, not an explanation — the explanation is always rates: the change makes one rate larger than the other until they are equal again.

DisturbanceShiftWhy, in terms of ratesEffect on Kc
Add a reactant (or remove a product)Right, to use it upMore reactant collisions raise the forward rateNone
Add a product (or remove a reactant)LeftReverse rate risesNone
Increase pressure (gases) by reducing volumeTo the side with fewer moles of gasAll concentrations rise; the side with more particles gains more rateNone
Decrease pressureTo the side with more moles of gasThe reverse of the aboveNone
Increase temperatureIn the endothermic direction (absorbs the heat)Both rates rise, the endothermic one by moreChanges: Kc rises for an endothermic forward reaction, falls for an exothermic one
Decrease temperatureIn the exothermic directionBoth rates fall, the endothermic one by moreChanges, the other way
Add a catalystNo shiftBoth rates rise equally; equilibrium is reached sooner, at the same positionNone
Add an inert gas at constant volumeNo shiftPartial pressures of the reacting gases are unchangedNone
The Haber process is the exam's favourite example

N₂(g) + 3H₂(g) ⇌ 2NH₃(g)  ΔH = −92 kJ mol⁻¹. Four moles of gas become two, so high pressure favours ammonia (200 atm in practice). The reaction is exothermic, so low temperature favours ammonia — but too low and the rate is uselessly slow. The compromise is about 450 °C, an iron catalyst to get the rate back, and removing ammonia by liquefying it so the equilibrium keeps shifting right. Every choice is Le Chatelier against rate against cost, and the exam wants all three named.

1.4Acids and bases: Brønsted–Lowry, strong and weak

A Brønsted–Lowry acid is a proton (H⁺) donor; a base is a proton acceptor. Every acid–base reaction is a proton transfer, and it makes a conjugate pair: HCl gives away H⁺ and becomes its conjugate base Cl⁻; water accepts it and becomes its conjugate acid H₃O⁺. Water does both jobs (it is amphiprotic) and even reacts with itself: 2H₂O ⇌ H₃O⁺ + OH⁻, with Kw = [H₃O⁺][OH⁻] = 1.0 × 10⁻¹⁴ at 25 °C.

StrongWeak
AcidFully ionised in water: HCl, HNO₃, H₂SO₄. Written with a one-way arrow. [H₃O⁺] = the acid concentrationPartly ionised, an equilibrium lying left: CH₃COOH, HF, H₂CO₃. Written with ⇌. [H₃O⁺] is much less than the concentration
BaseFully dissociated: NaOH, KOH. [OH⁻] = the base concentrationPartly protonated: NH₃ + H₂O ⇌ NH₄⁺ + OH⁻
Do not confuse withConcentrated and dilute, which describe how much is dissolved. 0.01 mol L⁻¹ HCl is a dilute strong acid; 5 mol L⁻¹ ethanoic acid is a concentrated weak acid.

The acid dissociation constant, Ka = [H₃O⁺][A⁻] ÷ [HA], measures how far a weak acid ionises: the larger Ka, the stronger the acid. Ethanoic acid has Ka = 1.8 × 10⁻⁵; HF, 6.8 × 10⁻⁴, is the stronger of the two. pKa = −log Ka runs the other way: smaller pKa, stronger acid.

1.5pH, worked

pH = −log₁₀[H₃O⁺]  ·  [H₃O⁺] = 10⁻pH  ·  pH + pOH = 14

Strong acid. 0.0250 mol L⁻¹ HCl: [H₃O⁺] = 0.0250, pH = −log(0.0250) = 1.60.

Strong base. 0.0100 mol L⁻¹ NaOH: [OH⁻] = 0.0100, pOH = 2.00, pH = 14 − 2.00 = 12.00.

Weak acid. 0.100 mol L⁻¹ ethanoic acid, Ka = 1.8 × 10⁻⁵. Because so little ionises, [HA] ≈ 0.100 and [H₃O⁺] = [A⁻] = x: Ka = x² ÷ 0.100, so x = √(1.8 × 10⁻⁵ × 0.100) = √(1.8 × 10⁻⁶) = 1.34 × 10⁻³, and pH = 2.87. Compare 0.100 mol L⁻¹ HCl at pH 1.00: the weak acid is nearly two pH units higher at the same concentration.

Dilution. Each tenfold dilution of a strong acid raises the pH by one unit (pH 1 → 2 → 3), until it approaches 7. A weak acid rises by less than one, because dilution also shifts its equilibrium towards more ionisation.

1.6Titration curves, indicators and buffers

volume of 0.100 mol L⁻¹ NaOH added (mL) → pH 0714310 025.050 methyl orange changes, pH 3.1–4.4 phenolphthalein changes, pH 8.3–10.0 equivalence point moles acid = moles base; pH 7 for strong–strong the near-vertical jump: any indicator that changes inside it works here
Figure 1.2 — a strong acid titrated with a strong baseThe equivalence point is where the moles of base added exactly equal the moles of acid: the pH jumps through 7. An indicator must change colour inside the vertical section. For strong–strong, both methyl orange and phenolphthalein do. For a weak acid with a strong base the equivalence point is above 7 (the conjugate base is basic), so only phenolphthalein works; for a strong acid with a weak base it is below 7, so only methyl orange. The end point is when the indicator changes; a good titration makes it coincide with the equivalence point.
Worked titration

25.0 mL of 0.100 mol L⁻¹ NaOH needs 22.4 mL of HCl to reach the end point. n(NaOH) = 0.100 × 0.0250 = 2.50 × 10⁻³ mol. The ratio is 1 : 1, so n(HCl) = 2.50 × 10⁻³ mol in 0.0224 L: c = 2.50 × 10⁻³ ÷ 0.0224 = 0.112 mol L⁻¹ (3 s.f.). Always: moles of the known, ratio, moles of the unknown, then concentration.

A buffer resists pH change when small amounts of acid or base are added. It is a weak acid and its conjugate base together, in similar amounts — ethanoic acid with sodium ethanoate, or carbonic acid with hydrogen carbonate in your blood. Add H⁺ and the conjugate base absorbs it (A⁻ + H⁺ → HA); add OH⁻ and the acid neutralises it (HA + OH⁻ → A⁻ + H₂O). The equilibrium shifts, the pH barely moves. Blood is buffered at 7.4; a shift of 0.4 either way is fatal, which is the point.

Unit 3 · Topic 2QCAA ChemistryOxidation and reduction

Oxidation and reduction

Every battery, every rusting gate and every electroplated tap is the same chemistry: one substance loses electrons, another gains them. Learn to track the electrons and the whole topic — cells, potentials, electrolysis, corrosion — is one idea applied four ways.

2.1Oxidation numbers and half-equations

Oxidation is loss of electrons; reduction is gain (OIL RIG). The substance that is reduced takes the electrons and is the oxidising agent; the one oxidised gives them and is the reducing agent. To see who lost what, assign oxidation numbers:

  • Free element: 0. Simple ion: its charge. In compounds: F −1; O −2 (except peroxides, −1); H +1 (except metal hydrides, −1); Group 1 +1, Group 2 +2.
  • The numbers in a neutral compound add to 0; in a polyatomic ion, to its charge. So Mn in MnO₄⁻: x + 4(−2) = −1, x = +7. Cr in Cr₂O₇²⁻: 2x − 14 = −2, x = +6. S in H₂SO₄: 2 + x − 8 = 0, x = +6. N in NH₃: x + 3 = 0, x = −3.
  • Oxidation number goes up = oxidised; goes down = reduced. In Zn + Cu²⁺ → Zn²⁺ + Cu, Zn goes 0 → +2 (oxidised, the reducing agent) and Cu goes +2 → 0 (reduced; Cu²⁺ is the oxidising agent).
Writing and combining half-equations (acidic solution)

Balance the main atoms, then O with H₂O, then H with H⁺, then charge with e⁻. Permanganate reduced: MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O. Iron(II) oxidised: Fe²⁺ → Fe³⁺ + e⁻. Multiply so the electrons cancel (×5 on the iron), add, and cancel anything on both sides: MnO₄⁻ + 8H⁺ + 5Fe²⁺ → Mn²⁺ + 4H₂O + 5Fe³⁺. Check: atoms balance and charge balances (+17 each side).

2.2Galvanic cells

V 1.10 V e⁻ flow salt bridge (KNO₃ in gel) NO₃⁻ ← anions to the anode · K⁺ → cations to the cathode Zn anode (−) Zn → Zn²⁺ + 2e⁻ oxidation; the electrode wears away Cu cathode (+) Cu²⁺ + 2e⁻ → Cu reduction; copper deposits 1.0 mol L⁻¹ ZnSO₄(aq) 1.0 mol L⁻¹ CuSO₄(aq)
Figure 2.1 — the Daniell cellA galvanic cell separates the oxidation from the reduction so the electrons must travel through the wire — that is the current. Oxidation happens at the anode (An Ox), reduction at the cathode (Red Cat); electrons flow anode to cathode through the wire, and the salt bridge lets ions flow to keep each half-cell neutral: without it, charge builds up and the current stops in seconds. In a galvanic cell the anode is negative. Cell notation: Zn(s) | Zn²⁺(aq) || Cu²⁺(aq) | Cu(s), anode on the left.

The standard electrode potential, E°, of a half-cell is its voltage against the standard hydrogen electrode (0.00 V) at 1 mol L⁻¹, 100 kPa and 25 °C. The table lists reductions: the more positive E°, the more readily the species is reduced (the stronger oxidising agent); the more negative, the more readily the reverse happens (the stronger reducing agent). Cu²⁺/Cu is +0.34 V, Zn²⁺/Zn is −0.76 V, Ag⁺/Ag is +0.80 V.

E°cell = E°cathodeE°anode (reduction potentials, never flipped)

Zn–Cu: copper has the higher E°, so it is the cathode. E°cell = 0.34 − (−0.76) = +1.10 V. Positive means the reaction is spontaneous as written.

Cu–Ag: silver is the cathode. E°cell = 0.80 − 0.34 = +0.46 V. Copper is now the anode — a metal's role depends on what it is paired with.

A negative E°cell means the reaction will not go on its own; it needs an electrolytic cell. Note that multiplying a half-equation does not multiply its E°.

2.3Electrolytic cells and electroplating

An electrolytic cell is a galvanic cell run backwards: a power supply forces a non-spontaneous reaction. The same rules hold — oxidation at the anode, reduction at the cathode — but now the anode is positive (connected to the supply's positive terminal, which pulls electrons out) and the cathode is negative. In molten NaCl, Na⁺ is reduced to sodium metal at the cathode and Cl⁻ oxidised to chlorine at the anode. In aqueous solution water competes: the species with the most positive reduction potential is reduced at the cathode, the one with the most negative is oxidised at the anode. That is why electrolysing NaCl(aq) gives hydrogen at the cathode, not sodium.

Electroplating uses this to coat one metal with another: the object to be plated is the cathode, the plating metal is the anode (it dissolves to replenish the ions), and the electrolyte contains the plating metal's ions. Silver-plating a spoon: spoon at the cathode (Ag⁺ + e⁻ → Ag), silver bar at the anode (Ag → Ag⁺ + e⁻), in silver nitrate. The mass deposited is proportional to the charge passed.

2.4Corrosion

Rusting is an electrochemical cell on the surface of the iron. At an anodic spot, Fe → Fe²⁺ + 2e⁻; the electrons travel through the metal to a cathodic spot where O₂ + 2H₂O + 4e⁻ → 4OH⁻; the ions meet and form Fe(OH)₂, which oxidises to rust, hydrated iron(III) oxide. It needs oxygen and water together; salt speeds it by making the water a better electrolyte. Protection follows from the cell: barrier (paint, oil, plastic) keeps oxygen and water off; sacrificial protection attaches a metal with a more negative E° — zinc on galvanised steel, magnesium blocks on a ship's hull — which becomes the anode and corrodes instead; cathodic protection connects the structure to the negative terminal of a supply so it cannot lose electrons. Tin plating on a can is a barrier only: scratch it and the iron, more negative than tin, corrodes faster.

Unit 4 · Topic 1QCAA ChemistryProperties and structure of organic materials

Properties and structure of organic materials

Carbon makes four bonds, bonds to itself in chains and rings, and hangs a small set of functional groups off the result. Learn the groups, the naming rules and the intermolecular forces each group brings, and you can predict the properties and reactions of a compound you have never seen.

3.1Homologous series and functional groups

A homologous series is a family with the same functional group and general formula, each member differing by CH₂: the same chemistry, with physical properties that change steadily along the series. The functional group is the atom or group that gives the family its reactions.

SeriesFunctional groupGeneral formulaSuffix / prefixExampleChemistry
AlkaneC–C single bonds onlyCnH2n+2-anepropane C₃H₈Saturated; combustion, substitution with halogens in UV light
AlkeneC=CCnH2n-enepropene CH₃CH=CH₂Unsaturated; addition reactions; decolourises bromine water
AlkyneC≡CCnH2n−2-yneethyne C₂H₂Addition, twice
HaloalkaneC–X (F, Cl, Br, I)fluoro-, chloro-, bromo-, iodo-2-bromopropaneSubstitution with OH⁻ to alcohols
Alcohol–OH (hydroxyl)CnH2n+1OH-olpropan-2-olHydrogen bonding; oxidation; esterification; dehydration
Aldehyde–CHO (carbonyl at the end)-alethanalFrom a primary alcohol; oxidises further to the acid
KetoneC=O inside the chain-onepropanoneFrom a secondary alcohol; resists further oxidation
Carboxylic acid–COOH-oic acidethanoic acidWeak acid; hydrogen bonding; makes esters
Ester–COO–-yl -oateethyl ethanoateFrom acid + alcohol; sweet smells; hydrolysis back
Amine–NH₂-amineethanamineWeak base; hydrogen bonding
Amide–CONH₂ / –CONH–-amideethanamideThe peptide link in proteins and nylon

3.2IUPAC naming and isomers

  1. Find the longest chain that contains the functional group: that gives the stem (meth-, eth-, prop-, but-, pent-, hex-, hept-, oct-).
  2. Number from the end that gives the functional group the lowest number; if there is none, the first branch the lowest number.
  3. Name the substituents as prefixes with their numbers (methyl, ethyl, chloro), in alphabetical order; use di-, tri- for repeats (not counted for the alphabet).
  4. Write it: numbers separated from letters by hyphens, numbers from numbers by commas. 2-methylbutan-2-ol; 3-methylpent-1-ene; 1,2-dichloroethane.
Isomer typeWhat differsExampleConsequence
Chain (structural)The carbon skeletonbutane and 2-methylpropane, both C₄H₁₀The branched one has a lower boiling point: less surface for dispersion forces
Position (structural)Where the functional group sitspropan-1-ol and propan-2-olDifferent oxidation products: aldehyde vs ketone
Functional group (structural)Which group the atoms makeethanol and methoxymethane, both C₂H₆OCompletely different chemistry
Geometric (cis/trans)Arrangement about a C=C that cannot rotate, each carbon carrying two different groupscis- and trans-but-2-eneDifferent shapes, so different packing and melting points
Optical (enantiomers)A chiral carbon with four different groups: two mirror images that cannot be superimposedthe two forms of butan-2-olIdentical physically, except they rotate polarised light oppositely; biology tells them apart

3.3Properties from intermolecular forces

  • Dispersion forces act between all molecules and grow with size: boiling points rise along every homologous series (methane −162 °C, butane −1 °C, octane 126 °C). Branching lowers them.
  • Dipole–dipole forces add for polar groups (C=O in ketones and aldehydes, C–X): propanone boils at 56 °C, butane at −1 °C, similar mass.
  • Hydrogen bonding (O–H, N–H) adds most: propan-1-ol boils at 97 °C; ethanoic acid at 118 °C, because acids form hydrogen-bonded pairs.
  • Solubility in water needs hydrogen bonding with water: small alcohols, acids and amines dissolve; the hydrocarbon tail wins as the chain grows (hexan-1-ol is barely soluble). Alkanes, alkenes and esters do not dissolve.

3.4The reactions

ReactionEquation (example)ConditionsType
Halogenation of an alkaneCH₄ + Cl₂ → CH₃Cl + HClUV lightSubstitution (free radical)
Bromination of an alkeneCH₂=CH₂ + Br₂ → CH₂BrCH₂BrRoom temperature; orange bromine water goes colourless — the test for C=CAddition
Hydration of an alkeneCH₂=CH₂ + H₂O → CH₃CH₂OHSteam, phosphoric acid catalyst, 300 °C, 60 atmAddition — industrial ethanol
HydrogenationC=C + H₂ → C–CNickel catalyst; margarine from oilsAddition
Haloalkane to alcoholCH₃CH₂Br + OH⁻ → CH₃CH₂OH + Br⁻Warm aqueous NaOHSubstitution
Oxidation of a primary alcoholCH₃CH₂OH → CH₃CHO → CH₃COOHAcidified K₂Cr₂O₇ (orange → green) or KMnO₄ (purple → colourless); distil for the aldehyde, reflux for the acidOxidation
Oxidation of a secondary alcoholCH₃CH(OH)CH₃ → CH₃COCH₃As above; stops at the ketoneOxidation. A tertiary alcohol does not oxidise
EsterificationCH₃COOH + CH₃CH₂OH ⇌ CH₃COOCH₂CH₃ + H₂OConcentrated H₂SO₄ catalyst, heatCondensation (water released); reversible
Hydrolysis of an esterEster + H₂O → acid + alcoholDilute acid, or NaOH (saponification, makes soap from fats)Hydrolysis
Ester naming, the one that trips everyone

The alcohol gives the first word (-yl), the acid the second (-oate). Ethanoic acid + methanol → methyl ethanoate. Butanoic acid + ethanol → ethyl butanoate. Write the ester so the acid's carbon chain carries the C=O: CH₃COOCH₃ is methyl ethanoate.

3.5Polymers and biomolecules

Addition polymers form when alkene monomers open their C=C and join, nothing lost: ethene → polyethene; propene → polypropene; chloroethene → PVC; tetrafluoroethene → PTFE. The repeat unit is the monomer with the double bond opened. Condensation polymers form when two functional groups react and a small molecule (water) leaves: a diacid with a diol makes a polyester (PET); a diacid with a diamine makes a polyamide (nylon-6,6). Proteins are condensation polymers of amino acids joined by the peptide (amide) link; carbohydrates (starch, cellulose) are condensation polymers of glucose; fats are triesters of glycerol with three fatty acids — saturated fats have no C=C, unsaturated fats have one or more.

3.6Reading spectra

chemical shift δ (ppm) — increases to the LEFT 543210 quartet, 4.1 ppm O–CH₂–, integrates 2 split by the 3 H next door (n+1 = 4) singlet, 2.0 ppm CH₃–C=O, integrates 3 no H on the neighbouring carbon triplet, 1.3 ppm –CH₂–CH₃, integrates 3 split by the 2 H next door (n+1 = 3) TMS, 0
Figure 3.1 — the ¹H NMR spectrum of ethyl ethanoate, CH₃COOCH₂CH₃Three things to read. The number of signals = the number of different hydrogen environments (three). The integration (area) = how many hydrogens in each (3 : 2 : 3). The splitting = the number of hydrogens on the neighbouring carbon plus one (the n+1 rule): the CH₂ next to a CH₃ is a quartet, the CH₃ next to a CH₂ is a triplet, and the CH₃ on the carbonyl, with no neighbouring H, is a singlet. Chemical shift says what the hydrogens are attached to: next to oxygen, 3.5–4.5 ppm; next to C=O, 2.0–2.5; plain alkyl, 0.9–1.5.
TechniqueWhat it measuresWhat it tells youKey values
Infrared (IR)Bonds absorbing IR at their vibration frequencyWhich functional groups are presentO–H (alcohol) broad 3200–3600 cm⁻¹; O–H (acid) very broad 2500–3300; C=O sharp 1680–1750; C–H 2850–3000; N–H 3300–3500
Mass spectrometry (MS)Mass-to-charge of the molecular ion and its fragmentsThe molar mass (the molecular-ion peak, M⁺, furthest right) and pieces of the structure from fragmentsFragment at M−15 = lost CH₃; M−17 = lost OH; M−29 = lost C₂H₅; a chlorine compound shows M and M+2 peaks 3 : 1
¹H NMRHydrogen nuclei in a magnetic fieldHow many H environments, how many H in each, and what is next doorAs Figure 3.1
Unit 4 · Topic 2QCAA ChemistryChemical synthesis and design

Chemical synthesis and design

Knowing a reaction is not the same as making a tonne of product safely and cheaply. Synthesis asks: which pathway, how many steps, how much do we get, how much do we waste, and what does it cost the people and the planet? Those questions have numbers, and the exam wants them.

4.1Reaction pathways

A reaction pathway links a starting material to a target through the reactions of Unit 4 Topic 1. To make ethyl ethanoate from ethene: ethene → (hydration) → ethanol; ethanol → (oxidation, reflux with acidified dichromate) → ethanoic acid; ethanoic acid + ethanol → (esterification) → ethyl ethanoate. Three steps, and each step has a yield, so the overall yield is their product: 90% × 80% × 70% = 50%. Fewer steps almost always wins, which is why a chemist looks for the shortest pathway first, then for the one with the safest reagents.

4.2Yield and atom economy

Worked: aspirin

Salicylic acid (C₇H₆O₃, M 138.12) + ethanoic anhydride (C₄H₆O₃, M 102.09) → aspirin (C₉H₈O₄, M 180.16) + ethanoic acid (M 60.05). A student starts with 5.00 g of salicylic acid and excess anhydride, and collects 4.85 g of dry aspirin.

Theoretical yield. n(salicylic) = 5.00 ÷ 138.12 = 0.0362 mol. Ratio 1 : 1, so n(aspirin) = 0.0362 mol; m = 0.0362 × 180.16 = 6.52 g.

Percentage yield = 4.85 ÷ 6.52 × 100 = 74.4%. The rest was lost to incomplete reaction, to the recrystallisation, and to the filter paper.

Atom economy = (M of desired product ÷ sum of M of all reactants) × 100 = 180.16 ÷ (138.12 + 102.09) × 100 = 180.16 ÷ 240.21 × 100 = 75.0%. A quarter of the reactant mass leaves as ethanoic acid, by design, before a single practical loss.

Percentage yield measures how well the reaction was run; atom economy measures how well it was designed, and it is fixed by the equation alone. Addition reactions have 100% atom economy (every reactant atom ends up in the product: ethene + water → ethanol). Substitution and elimination reactions are lower, because something leaves. Fermentation of glucose to ethanol, C₆H₁₂O₆ → 2C₂H₅OH + 2CO₂, has an atom economy of 2(46.07) ÷ 180.16 = 51.1% — half the sugar leaves as carbon dioxide — yet it wins on renewability and mild conditions. Atom economy is one criterion among several.

4.3Green chemistry

PrincipleIn practiceExample
Prevent wasteBetter not to make it than to treat itChoose a pathway with fewer by-products
Maximise atom economyPrefer addition to substitutionEthanol by hydration of ethene (100%) over routes that lose a leaving group
Less hazardous synthesisAvoid toxic reagents and intermediatesReplace phosgene, replace chromium(VI) oxidants with catalytic oxygen
Safer solventsWater, supercritical CO₂, or no solvent at allDecaffeination with supercritical CO₂ instead of dichloromethane
Energy efficiencyRoom temperature and pressure where possibleEnzyme catalysis; a catalyst that lets the Haber process run cooler
Renewable feedstocksBiomass instead of oilEthanol from sugar cane; bioplastics (PLA) from corn starch
CatalysisCatalytic, not stoichiometric, reagentsA catalyst is used in tiny amounts and recovered; a stoichiometric reagent becomes waste
Design for degradationProducts that break down after useBiodegradable polyesters over polyethene

4.4An industrial synthesis: ethanol two ways

Hydration of etheneFermentation of glucose
EquationC₂H₄ + H₂O ⇌ C₂H₅OHC₆H₁₂O₆ → 2C₂H₅OH + 2CO₂
FeedstockEthene from cracking crude oil — non-renewableSugar cane, corn, waste starch — renewable
Conditions300 °C, 60–70 atm, phosphoric acid catalyst; continuous30–40 °C, 1 atm, yeast enzymes, no oxygen; batch
Rate and yieldFast; single-pass conversion low (equilibrium) but unreacted ethene is recycled to ~95% overallSlow (days); stops at about 15% ethanol because the yeast dies
ProductPure, anhydrous ethanolDilute; needs fractional distillation, which costs energy
Atom economy100%51.1%
Chosen whenIndustrial solvent and chemical feedstock; cheap oilFuel ethanol and beverages; a renewable mandate; sugar is cheap
How an exam evaluation question is answered

Not with one criterion. Name the criteria — atom economy, yield, rate, energy, feedstock, safety, product purity, cost — give each a value or a comparison, and then judge. “Hydration has 100% atom economy and gives pure ethanol at high rate, but it depends on crude oil and 300 °C; fermentation is renewable and runs at 35 °C, but wastes half its carbon as CO₂ and needs energy to distil. For fuel ethanol in Queensland, with cane and a renewable target, fermentation is the better fit.” That is the shape of a full-mark answer.

4.5Checking purity

A synthesis is not finished until the product is shown to be the product, pure. Melting point: a pure solid melts sharply at its literature value (aspirin 135 °C); impurities lower it and spread it over a range. Chromatography (TLC or HPLC): a pure sample gives one spot or one peak; the Rf matches a standard. Titration: the amount of acid in the sample against what the mass predicts — an assay. Spectroscopy: IR confirms the functional groups (aspirin's ester C=O at 1750 and acid C=O at 1690 cm⁻¹, and no broad phenol O–H from leftover salicylic acid), MS confirms the molar mass (M⁺ at 180), NMR confirms the structure. Recrystallisation is the purification step that precedes them: dissolve hot in the minimum solvent, cool slowly, filter the crystals, wash cold, dry — the impurities stay in the solution.

Start hereQCAA PhysicsGeneral · Units 3–4

From falling apples to the Higgs boson.

Units 3 and 4 take the tools of Year 11 — vectors, forces, energy, fields — and point them at the biggest questions physics has: what holds the planets in orbit, what electricity and magnetism really are, what happens near the speed of light, and what matter is made of. The method has not changed: formula, substitution with units, answer, sanity check.

The mapFour topics, two units

  1. Gravity and motion (Unit 3, Topic 1) — vectors in two dimensions, projectiles, inclined planes, uniform circular motion, Newton's law of universal gravitation, gravitational fields, orbits and Kepler's third law.
  2. Electromagnetism (Unit 3, Topic 2) — Coulomb's law and electric fields, charges moving in fields, magnetic fields from currents, F = qvB and F = BIL, electromagnetic induction, transformers and power transmission.
  3. Special relativity (Unit 4, Topic 1) — Einstein's two postulates, simultaneity, time dilation, length contraction, relativistic momentum, E = mc² and the muon evidence.
  4. Quantum theory and the Standard Model (Unit 4, Topic 2) — black-body radiation and Planck, the photoelectric effect, wave–particle duality, the Bohr atom, the Standard Model, Feynman diagrams and particle accelerators.
Values used throughout this course

g = 9.8 m s⁻². Gravitational constant G = 6.67 × 10⁻¹¹ N m² kg⁻². Earth: mass 5.97 × 10²⁴ kg, radius 6.37 × 10⁶ m. Coulomb constant k = 8.99 × 10⁹ N m² C⁻². Permeability of free space μ₀ = 4π × 10⁻⁷ T m A⁻¹. Elementary charge e = 1.60 × 10⁻¹⁹ C; electron mass 9.11 × 10⁻³¹ kg; proton mass 1.67 × 10⁻²⁷ kg. Speed of light c = 3.00 × 10⁸ m s⁻¹. Planck's constant h = 6.626 × 10⁻³⁴ J s. 1 eV = 1.60 × 10⁻¹⁹ J. Every worked answer on this site uses exactly these.

How Year 12 Physics is assessed (QCAA General)

IA1 — data test (10 %): analyse and interpret a set of data you are given. IA2 — student experiment (20 %): modify an experiment, collect data, evaluate. IA3 — research investigation (20 %): investigate a claim using published evidence. External examination (50 %): two papers covering Units 3 and 4 — multiple choice, short response and extended calculations. Half the marks are the exam, so the drills here are built to look like it.

Unit 3 · Topic 1QCAA PhysicsGravity and motion

Gravity and motion: the same force, from a thrown ball to a satellite

Year 11 kept everything in a straight line. This topic lets motion turn corners — a ball in flight, a car on a bend, a satellite in orbit — and the trick every time is the same: split the vector into components, and treat each one separately.

1.1Vectors in two dimensions

A vector at an angle θ to the horizontal has a horizontal component v cos θ and a vertical component v sin θ. Going the other way, a pair of perpendicular components adds back to a magnitude √(vx² + vy²) at an angle tan⁻¹(vy ÷ vx). Draw the triangle every time: the mistake that costs most marks in this topic is swapping sine and cosine.

A velocity of 20 m s⁻¹ at 30° above the horizontal is therefore 20 cos 30° = 17.3 m s⁻¹ horizontally and 20 sin 30° = 10.0 m s⁻¹ vertically. Check: √(17.3² + 10.0²) = √(299 + 100) = √399 ≈ 20. Good.

1.2Projectile motion

With air resistance ignored, a projectile is two independent motions happening at once. Horizontally there is no force, so the velocity is constant: sx = uxt. Vertically gravity acts, so the SUVAT equations apply with a = −9.8 m s⁻² (taking up as positive). The only thing the two share is the time — which is why time is nearly always what you solve for first.

Figure 1.1 — the path of a projectile, plotted liveThe curve is a parabola because horizontal position grows in proportion to time while height depends on time squared. Note the symmetry: the ball takes as long to come down as to go up, and lands at the same speed and angle it left with. The vertical scale is stretched relative to the horizontal one so the arc is readable.
Worked — a ball launched at 20 m s⁻¹ at 30° from level ground

Components. ux = 20 cos 30° = 17.3 m s⁻¹; uy = 20 sin 30° = 10.0 m s⁻¹.

Time to the top. At the peak vy = 0: v = u + at → 0 = 10.0 − 9.8t → t = 10.0 ÷ 9.8 = 1.02 s. By symmetry the whole flight lasts 2 × 1.02 = 2.04 s.

Maximum height. v² = u² + 2as → 0 = 10.0² − 2(9.8)s → s = 100 ÷ 19.6 = 5.10 m.

Range. Horizontal velocity is constant, so sx = uxt = 17.3 × 2.04 = 35.3 m.

Sanity check: a good throw of a cricket ball goes about 35 m. Right size.

Worked — launched horizontally from a cliff

A stone is thrown horizontally at 6.0 m s⁻¹ from a cliff 19.6 m high. Here uy = 0, so the vertical motion is a straight drop.

Time in the air (vertical): s = ut + ½at² → 19.6 = 0 + ½(9.8)t² → t² = 4.0 → t = 2.0 s.

Range (horizontal): sx = 6.0 × 2.0 = 12 m.

Landing velocity. vy = 0 + 9.8 × 2.0 = 19.6 m s⁻¹ down; vx = 6.0. Speed = √(6.0² + 19.6²) = √420 = 20.5 m s⁻¹, at tan⁻¹(19.6 ÷ 6.0) = 73° below the horizontal. The throwing speed does not change the time in the air — only how far away it lands.

1.3Inclined planes

On a slope, the useful axes are along the surface and perpendicular to it — not horizontal and vertical. Weight is the only force that then has to be resolved: mg sin θ acts down the slope and mg cos θ presses into it. The normal force balances the perpendicular component, so N = mg cos θ, and friction (if any) is μN acting up the slope while the block slides down.

BLOCK ON A 30° INCLINE weight resolved along and perpendicular to the surface 5.0 kg N = 42.4 N normal force, perpendicular to the surface W = mg = 49 N weight, straight down W cos θ = 42.4 N pressing into the surface W sin θ = 24.5 N component down the slope the incline surface θ = 30° horizontal ground frictionless: F net = W sin θ = 24.5 N along the slope, so a = 24.5 ÷ 5.0 = 4.9 m s⁻²
Figure 1.2 — resolving weight on a slopeThe solid arrows are the real forces (weight and the normal force); the dashed ones are the two components weight is split into. Perpendicular to the surface the forces balance: N = W cos θ = 42.4 N. Along it they do not, and the unbalanced 24.5 N is what accelerates the block. With friction, subtract f = μN from that 24.5 N before dividing by the mass.
Worked — the same block, with friction

Now let the coefficient of kinetic friction be μ = 0.20.

N = mg cos 30° = 5.0 × 9.8 × 0.866 = 42.4 N  →  f = μN = 0.20 × 42.4 = 8.5 N up the slope.

Fnet = 24.5 − 8.5 = 16.0 N down the slope  →  a = 16.0 ÷ 5.0 = 3.2 m s⁻².

Without friction it was 4.9 m s⁻² = g sin θ, which does not depend on the mass at all — the reason Galileo could slow gravity down with a ramp and time it.

1.4Uniform circular motion

An object moving in a circle at constant speed is still accelerating, because its velocity keeps changing direction. That acceleration points to the centre and has size a = v² ÷ r. By Newton's second law something must supply a net force F = mv² ÷ r toward the centre — the centripetal force. It is not a new kind of force: it is whatever real force happens to be doing the job — tension in a string, friction on tyres, gravity on a planet.

UNIFORM CIRCULAR MOTION the speed is constant; the velocity is not the object v (along the tangent) speed constant, direction changing a = v² ÷ r to the centre r = radius centre the circular path v = 2πr ÷ T a = v² ÷ r F = mv² ÷ r worked: car, m = 1200 kg, r = 50 m, v = 15 m s⁻¹ a = 15² ÷ 50 = 225 ÷ 50 = 4.5 m s⁻² F = 1200 × 4.5 = 5400 N, supplied by friction if the tyres cannot supply 5400 N, the car slides there is no outward "centrifugal" force on the object — the net force points inward
Figure 1.3 — velocity along the tangent, acceleration to the centreCut the string and the object flies off along the tangent, not outward — which is the proof that the only force acting was the inward one. The feeling of being "thrown outward" on a bend is your inertia: you keep going straight while the car turns underneath you.
Worked — a ball on a string

A 0.50 kg ball is whirled in a horizontal circle of radius 1.2 m, completing one revolution every 0.80 s.

v = 2πr ÷ T = 2π × 1.2 ÷ 0.80 = 9.42 m s⁻¹

F = mv² ÷ r = 0.50 × 9.42² ÷ 1.2 = 0.50 × 88.8 ÷ 1.2 = 37 N — the tension in the string.

Now the car again: the maximum friction on a dry road is about 0.60 of the weight, so the fastest safe speed round a 50 m bend is v = √(μgr) = √(0.60 × 9.8 × 50) = √294 = 17.1 m s⁻¹ (about 62 km/h). Notice the mass cancelled: a truck and a bicycle have the same limit.

1.5Newton's law of universal gravitation

Every mass attracts every other mass with a force F = G m₁m₂ ÷ r², where r is the distance between their centres and G = 6.67 × 10⁻¹¹ N m² kg⁻². It is an inverse-square law: double the distance and the force falls to a quarter; triple it and the force falls to a ninth. The two forces in the pair are equal and opposite (Newton's third law) — the Earth pulls you with 686 N and you pull the Earth with 686 N.

QuestionWorkingAnswer
Force of the Earth on a 1.0 kg mass at its surfaceF = (6.67 × 10⁻¹¹)(5.97 × 10²⁴)(1.0) ÷ (6.37 × 10⁶)²9.81 N — which is g
Force between the Earth and the Moon (7.35 × 10²² kg, 3.84 × 10⁸ m away)F = (6.67 × 10⁻¹¹)(5.97 × 10²⁴)(7.35 × 10²²) ÷ (3.84 × 10⁸)²1.98 × 10²⁰ N
Force between two 70 kg people 1.0 m apartF = (6.67 × 10⁻¹¹)(70)(70) ÷ 1.0²3.3 × 10⁻⁷ N — gravity is feeble unless a mass is planet-sized

1.6Gravitational fields and potential energy

A gravitational field is the region around a mass where another mass feels a force. Its strength at a point is the force per kilogram: g = F ÷ m = GM ÷ r², in N kg⁻¹ — which is the same unit as m s⁻², because the field strength is also the acceleration of anything falling freely there.

EARTH A GRAVITATIONAL FIELD radial: every line points at the centre of mass field line: the direction a mass is pulled g = GM ÷ r² (N kg⁻¹, the same as m s⁻²) at the surface, r = 6.37 × 10⁶ m: g = 9.81 at the ISS, r = 6.77 × 10⁶ m: g = 8.69 twice as far from the centre: g falls to a quarter lines closer together = a stronger field
Figure 1.4 — the Earth's field is radial, and it never reaches zeroAt the height of the International Space Station (about 400 km up) the field is still 8.69 N kg⁻¹, nearly 90 % of its surface value. Astronauts float not because gravity is absent but because they and their station are falling together around the Earth — the whole of section 1.7 is about that fall.

Near the surface, GPE = mgh works because g is nearly constant. Over planetary distances it is not, and the general expression is U = −GMm ÷ r. The minus sign is bookkeeping: potential energy is taken as zero infinitely far away, and it falls (becomes more negative) as an object comes closer, because the field does work on it. To escape a planet entirely, an object needs kinetic energy equal to the depth of that well: ½mv² = GMm ÷ R, giving the escape speed v = √(2GM ÷ R). For Earth: √(2 × 3.98 × 10¹⁴ ÷ 6.37 × 10⁶) = 1.12 × 10⁴ m s⁻¹, about 11 km per second, whatever the mass of the object.

1.7Orbits and Kepler's third law

A satellite in a circular orbit is in uniform circular motion with gravity as the centripetal force. Set the two equal and the mass of the satellite cancels:

GMm ÷ r² = mv² ÷ r  →  v = √(GM ÷ r)  and, since v = 2πr ÷ T,  T² = (4π² ÷ GM) r³

That last line is Kepler's third law: for everything orbiting the same central body, T² ∝ r³. Kepler found it in 1619 from Tycho Brahe's observations of the planets; Newton explained it seventy years later. Kepler's first two laws: orbits are ellipses with the central body at one focus, and a line from the body to the orbiting object sweeps out equal areas in equal times — so a planet moves fastest when closest to the Sun.

Worked — a satellite 630 km up

Orbital radius r = 6.37 × 10⁶ + 0.63 × 10⁶ = 7.00 × 10⁶ m (always add the planet's radius — r is measured from the centre). GM = 6.67 × 10⁻¹¹ × 5.97 × 10²⁴ = 3.98 × 10¹⁴.

Speed. v = √(GM ÷ r) = √(3.98 × 10¹⁴ ÷ 7.00 × 10⁶) = √(5.69 × 10⁷) = 7.54 × 10³ m s⁻¹

Period. T = 2πr ÷ v = 2π × 7.00 × 10⁶ ÷ 7.54 × 10³ = 5.83 × 10³ s = 97.2 minutes. Low-orbit satellites really do circle the Earth in about an hour and a half.

A geostationary satellite must have T = 24 h = 86 400 s. Rearranging Kepler: r³ = GMT² ÷ 4π² = 3.98 × 10¹⁴ × (86 400)² ÷ 39.5 = 7.53 × 10²², so r = 4.22 × 10⁷ m — an altitude of about 35 800 km, where every communications satellite sits.

Ratios need no constants. Mars orbits at 1.52 times the Earth's distance from the Sun, so TMars = 1.523/2 × 1 year = 1.87 years (the measured value is 1.88).

Unit 3 · Topic 2QCAA PhysicsElectromagnetism

Electromagnetism: charges, currents and the fields between them

Year 11 treated circuits as plumbing. This topic asks what is actually pushing: a stationary charge makes an electric field, a moving charge makes a magnetic field too, and a changing magnetic field makes electricity — which is how every power station on Earth works.

2.1Coulomb's law and electric fields

Two point charges exert a force on each other of F = k q₁q₂ ÷ r², with k = 8.99 × 10⁹ N m² C⁻² — the same inverse-square shape as gravity, but enormously stronger and able to repel as well as attract. Like charges repel; unlike charges attract.

An electric field is the region where a charge feels a force, and its strength is the force per coulomb: E = F ÷ q, in N C⁻¹. Around a point charge, E = kQ ÷ r². Between two parallel plates a distance d apart with a potential difference V across them, the field is uniform and E = V ÷ d, which gives the equivalent unit V m⁻¹. Field lines point in the direction a positive charge would be pushed: away from positive, toward negative.

UNIFORM ELECTRIC FIELD BETWEEN PARALLEL PLATES positive plate, +400 V negative plate, 0 V d = 0.020 m electron F = qE = 3.2 × 10⁻¹⁵ N, upward on an electron opposite to E, because the electron is negative E = V ÷ d = 400 ÷ 0.020 = 2.0 × 10⁴ V m⁻¹ field lines run + to −, evenly spaced: uniform field a = F ÷ m = 3.2 × 10⁻¹⁵ ÷ 9.11 × 10⁻³¹ = 3.5 × 10¹⁵ m s⁻² work done on a charge moved between the plates: W = qV = 1.60 × 10⁻¹⁹ × 400 = 6.4 × 10⁻¹⁷ J
Figure 2.1 — a uniform field, and what it does to an electronBetween parallel plates the field lines are parallel and evenly spaced, so E is the same everywhere between them. An electron, being negative, is pushed against the field — toward the positive plate. The acceleration is colossal (10¹⁵ m s⁻²) because the electron's mass is so tiny; gravity, at 9.8, is irrelevant by comparison.
Worked — Coulomb's law

Charges of +2.0 μC and −3.0 μC are 5.0 cm apart. Convert first: 2.0 × 10⁻⁶ C, 3.0 × 10⁻⁶ C, 0.050 m.

F = k q₁q₂ ÷ r² = (8.99 × 10⁹)(2.0 × 10⁻⁶)(3.0 × 10⁻⁶) ÷ (0.050)² = 5.39 × 10⁻² ÷ 2.5 × 10⁻³ = 21.6 N, attractive

Work out the size from the magnitudes and state the direction in words. A minus sign in the working just means "attract".

2.2Charges moving in an electric field

  • A charge released in a uniform field accelerates uniformly along the field lines, so the SUVAT equations apply with a = qE ÷ m.
  • A charge entering a uniform field sideways follows a parabola, exactly like a projectile: constant velocity along the plates, constant acceleration across them. That is how the beam was steered in old cathode-ray televisions.
  • Moving a charge q through a potential difference V transfers energy W = qV. An electron accelerated from rest through 400 V gains KE = 1.60 × 10⁻¹⁹ × 400 = 6.4 × 10⁻¹⁷ J, so ½mv² = 6.4 × 10⁻¹⁷ gives v = √(2 × 6.4 × 10⁻¹⁷ ÷ 9.11 × 10⁻³¹) = 1.19 × 10⁷ m s⁻¹ — four per cent of the speed of light, from a battery-sized voltage.
  • This is where the electron-volt comes from: 1 eV is the energy an electron gains through 1 V, so that electron has 400 eV. You will use the unit constantly in Unit 4.

2.3Magnetic fields from currents

A moving charge — a current — produces a magnetic field. Around a long straight wire the field lines are concentric circles, found by the right-hand grip rule: thumb along the conventional current, fingers curl the way the field goes. Its strength is B = μ₀I ÷ 2πr, falling off with distance (not distance squared). Inside a long coil — a solenoid — the field is uniform and B = μ₀nI, where n is the number of turns per metre; grip the coil with your fingers following the current and your thumb gives the north end.

QuestionWorkingAnswer
Field 0.10 m from a wire carrying 5.0 AB = (4π × 10⁻⁷)(5.0) ÷ (2π × 0.10)1.0 × 10⁻⁵ T — a fifth of the Earth's field
Field inside a solenoid of 1000 turns per metre carrying 2.0 AB = (4π × 10⁻⁷)(1000)(2.0)2.5 × 10⁻³ T
Field on the page from a current flowing up the page, to the right of the wireGrip rule: thumb up, fingers curl anticlockwise seen from aboveInto the page (drawn as ×)

Drawing convention: a field pointing out of the page is a dot (the tip of an arrow coming at you); into the page is a cross (the tail feathers going away).

2.4Force on a moving charge, and on a current

A magnetic field exerts a force on a charge only if the charge is moving, and only on the part of its velocity that is perpendicular to the field: F = qvB sin θ. The force is at right angles to both v and B, found with the right-hand palm rule: thumb along v (for a positive charge), fingers along B, and the palm pushes in the direction of F. For a negative charge, reverse it.

A CHARGE IN A MAGNETIC FIELD B into the page, positive charge moving anticlockwise v, along the tangent charge +q F = qvB circular path radius r centre right-hand palm rule (positive charge) thumb: velocity v fingers: field B palm pushes: force F negative charge: force reversed circular motion: qvB = mv² ÷ r so r = mv ÷ (qB) proton, v = 2.0 × 10⁶ m s⁻¹, B = 0.50 T: F = 1.6 × 10⁻¹³ N, r = 0.042 m F does no work — the speed stays constant × marks the field B, directed into the page (away from you)
Figure 2.2 — why the path is a circleThe force is always perpendicular to the velocity, so it changes the direction of motion but never the speed — it is a centripetal force. Setting qvB = mv² ÷ r gives r = mv ÷ qB: faster or heavier particles make bigger circles, stronger fields make tighter ones. That single equation is how mass spectrometers weigh ions and how particle accelerators keep their beams on track.

A wire is a stream of moving charges, so a current-carrying wire in a magnetic field feels a force too: F = BIL sin θ, where L is the length of wire inside the field. Same palm rule, with the thumb along the conventional current. A 0.50 m wire carrying 3.0 A at right angles to a 0.20 T field feels 0.20 × 3.0 × 0.50 = 0.30 N. Put a loop of wire in a field and the two sides feel opposite forces — a turning effect — and you have a DC motor; a commutator reverses the current every half-turn so it keeps turning the same way.

2.5Electromagnetic induction: Faraday and Lenz

The magnetic flux through a loop is the field times the area it threads: Φ = BA cos θ, in webers (Wb), with θ the angle between the field and the perpendicular to the loop. Faraday's law: whenever the flux through a coil changes, an emf is induced equal to the rate of change of flux, times the number of turns: emf = −N ΔΦ ÷ Δt. Change the field, change the area, or turn the coil — any of them will do. A steady flux induces nothing.

The minus sign is Lenz's law: the induced current flows in the direction that opposes the change causing it. Push a north pole toward a coil and the coil's near face becomes north to push back; pull it away and the face becomes south to hold on. It has to be so — if the induced current helped the change, you would get energy for nothing.

Worked — a collapsing field

A coil of 200 turns and area 0.010 m² sits with its face perpendicular to a 0.50 T field. The field is switched off and falls to zero in 0.20 s.

ΔΦ = ΔB × A = 0.50 × 0.010 = 5.0 × 10⁻³ Wb

emf = N ΔΦ ÷ Δt = 200 × 5.0 × 10⁻³ ÷ 0.20 = 5.0 V

By Lenz's law the induced current makes a field in the same direction as the vanishing one, trying to keep it. Switch the field on again and the current runs the other way.

A generator is a coil rotated in a field: the flux through it rises and falls sinusoidally, so the emf does too — alternating current. Spin the coil faster and both the frequency and the peak voltage go up.

2.6Transformers and AC transmission

STEP-DOWN TRANSFORMER 240 V to 12 V — the turns ratio sets the voltage ratio primary, Np = 400 Vp = 240 V, Ip = 0.10 A AC supply secondary, Ns = 20 Vs = 12 V, Is = 2.0 A load laminated iron core carries the changing flux from primary to secondary (turns drawn not to scale) Vp ÷ Vs = Np ÷ Ns → 240 ÷ 12 = 400 ÷ 20 = 20; ideal: Vp Ip = Vs Is → 240 × 0.10 = 12 × 2.0 = 24 W only a CHANGING current induces a voltage in the secondary — transformers need AC
Figure 2.3 — a transformer is Faraday's law twice overThe alternating current in the primary makes an alternating flux in the iron core; that changing flux threads the secondary and induces an emf there. Vp ÷ Vs = Np ÷ Ns. More turns on the secondary steps the voltage up; fewer steps it down. An ideal transformer loses no power, so VpIp = VsIs: whatever you gain in voltage you lose in current. Laminating the core cuts the eddy currents that would otherwise heat it.
Worked — why the grid runs at hundreds of kilovolts

A power station sends 100 kW down a line of total resistance 2.0 Ω. The power lost as heat in the line is Ploss = I²R.

At 1000 V: I = P ÷ V = 100 000 ÷ 1000 = 100 A. Loss = 100² × 2.0 = 20 000 W — a fifth of everything sent.

At 100 kV: I = 100 000 ÷ 100 000 = 1.0 A. Loss = 1.0² × 2.0 = 2.0 W.

Raising the voltage a hundredfold cuts the current a hundredfold and the loss ten-thousandfold. That is the whole argument for AC: transformers can step it up for the journey and down again for the home, and transformers do not work on DC.

Unit 4 · Topic 1QCAA PhysicsSpecial relativity

Special relativity: what the speed of light does to space and time

In 1905 Einstein took one experimental fact seriously — light always arrives at the same speed, no matter how you move — and followed it wherever it led. It led to moving clocks running slow, moving rulers shrinking, and mass turning out to be a form of energy. Every one of those has since been measured.

3.1Frames of reference and the two postulates

An inertial frame of reference is one that is not accelerating — a lab at rest, or a train at constant velocity. Galileo already knew that no experiment done inside a smoothly moving ship can tell you it is moving; Newton's laws work the same in every inertial frame. The trouble came with light. Maxwell's equations gave light one definite speed, c, and nineteenth-century physicists assumed that was its speed relative to a medium filling space, the "ether". In 1887 Michelson and Morley tried to detect the Earth's motion through that ether by comparing the speed of light in two perpendicular directions. They found no difference at all.

  1. First postulate. The laws of physics are the same in every inertial frame of reference. There is no experiment that can identify a state of "absolute rest".
  2. Second postulate. The speed of light in a vacuum is the same, c = 3.00 × 10⁸ m s⁻¹, for all observers in inertial frames, regardless of the motion of the source or of the observer.

The second one is the strange one. Fire a torch forward from a train doing 0.5c, and someone on the platform measures the light passing at c — not 1.5c. Since speed is distance over time, and the speed refuses to change, it is distance and time that must give way.

3.2Simultaneity is relative

SIMULTANEITY IS RELATIVE a flash at the midpoint: does it reach both ends at the same time? the carriage flash at the midpoint light, speed c light, speed c observer on the train A (rear detector) B (front detector) platform observer on the platform v, the train's velocity On the train: the light reaches A and B at the same moment — the two events are simultaneous. On the platform: A moves toward the light and B away from it, so A is struck first — not simultaneous.
Figure 3.1 — Einstein's trainBoth observers are right. Light leaves the midpoint at c in both directions for both of them (second postulate); the difference is that for the platform observer the rear detector is rushing to meet its light while the front detector runs away from its own. Two events that are simultaneous in one frame are not simultaneous in another. Once "at the same time" depends on the observer, so must every measurement of time.

3.3Time dilation and length contraction

Everything is governed by the Lorentz factor γ = 1 ÷ √(1 − v²/c²), which is 1 at rest and grows without limit as v approaches c.

Figure 3.2 — the Lorentz factor γ against v/cBelow about 0.1c, γ is 1.005 — which is why nobody noticed relativity before the twentieth century. It climbs steeply past 0.8c and heads for infinity at c itself. Since γ multiplies time intervals and divides lengths, that vertical wall is the reason nothing with mass can reach the speed of light.
v0.1c0.5c0.6c0.8c0.9c0.99c0.995c
γ1.0051.1551.251.6672.2947.0910.0
  • Time dilation: t = γt₀. The proper time t₀ is the interval measured by a clock that is at rest relative to the events — the clock that sees both events happen at the same place. Every other observer measures a longer interval. Moving clocks run slow.
  • Length contraction: L = L₀ ÷ γ. The proper length L₀ is measured by someone at rest relative to the object. Every other observer measures it shorter, along the direction of motion only. Moving rulers shrink.
  • The effects are symmetric: the astronaut sees Earth's clocks running slow and Earth's rulers shortened, too. The asymmetry in the "twin paradox" arises only because the travelling twin turns around, which means changing frames.
Worked — a ship at 0.8c

A spacecraft passes Earth at 0.8c. γ = 1 ÷ √(1 − 0.64) = 1 ÷ √0.36 = 1 ÷ 0.6 = 1.67.

Time. The crew's clock records 10.0 years on the voyage. That is proper time (the crew are with their clock the whole way). Earth measures t = γt₀ = 1.67 × 10.0 = 16.7 years.

Length. The ship is 100 m long as built. Earth measures L = L₀ ÷ γ = 100 ÷ 1.67 = 60 m. The crew, meanwhile, measure the distance to their destination as 0.6 of the value Earth quotes — which is exactly why they age less: they have less distance to cover.

The check that catches most errors: the moving clock must read less, the moving length must come out shorter. If your γ ended up on the wrong side, the numbers will tell you.

3.4Muons: relativity measured

Cosmic rays hitting the upper atmosphere create muons about 10–15 km up. A muon at rest lives on average only 2.2 μs before decaying. At their typical speed of about 0.995c they should therefore travel about 0.995 × 3.00 × 10⁸ × 2.2 × 10⁻⁶ = 660 m on average before decaying, and almost none should ever reach the ground. Yet detectors at sea level count them by the hundreds per square metre per second. In the classic experiment of 1963, Frisch and Smith counted muons at the top of Mount Washington and again about 1.9 km lower, and found far more survived the descent than a 2.2 μs lifetime allows.

Relativity resolves it both ways. From the ground: at 0.995c, γ = 10, so the muon's lifetime is dilated to 22 μs and its average range becomes about 6.6 km — enough for a large fraction to arrive. From the muon: its clock is normal, but the 10 km of atmosphere rushing past is contracted to about 1 km, which it can cross in its short life. Two descriptions, one prediction, and the counts match it.

3.5Relativistic momentum and E = mc²

  • Momentum: p = γmv. As v approaches c, γ explodes and so does the momentum, which means the force needed to accelerate further grows without limit. That is the operational reason c cannot be reached: an accelerator can keep adding energy and momentum forever while the speed creeps closer to c without arriving. An electron at 0.9c has p = 2.294 × 9.11 × 10⁻³¹ × 2.7 × 10⁸ = 5.6 × 10⁻²² kg m s⁻¹, more than double the Newtonian value.
  • Mass–energy equivalence: E = mc². A mass m at rest has a rest energy mc². Because c² = 9.00 × 10¹⁶, a tiny mass stands for a huge energy: one gram is 0.001 × 9.00 × 10¹⁶ = 9.0 × 10¹³ J, roughly the output of a large power station for a day. An electron's rest energy is 9.11 × 10⁻³¹ × 9.00 × 10¹⁶ = 8.2 × 10⁻¹⁴ J = 0.51 MeV, a number you will meet again in particle physics.
  • Total energy E = γmc², so the kinetic energy is KE = (γ − 1)mc². At 0.8c that is 0.67mc² — already two-thirds of the rest energy, far more than the ½mv² = 0.32mc² Newton would give.
  • The Sun radiates 3.85 × 10²⁶ W, so it converts m = E ÷ c² = 3.85 × 10²⁶ ÷ 9.00 × 10¹⁶ = 4.3 × 10⁹ kg of mass into energy every second — and has done so for four and a half billion years without losing a noticeable fraction of itself. Nuclear fission and fusion are the same bookkeeping on a smaller scale: the products weigh less than the reactants, and the difference has left as energy.
Unit 4 · Topic 2QCAA PhysicsQuantum theory & the Standard Model

Quantum theory and the Standard Model

Around 1900 three experiments refused to fit the wave theory of light, and the fix — that energy comes in lumps — turned out to describe atoms, electrons and, eventually, every particle there is. This topic runs from Planck's desperate guess to the table of everything.

4.1Black-body radiation and Planck's constant

A black body absorbs all radiation that falls on it and, when hot, radiates a spectrum that depends only on its temperature. Two features were measured long before they were explained: the total power grows steeply with temperature, and the peak wavelength shifts shorter as the body gets hotter (Wien's law, λmax = 2.898 × 10⁻³ ÷ T).

BodyTemperaturePeak wavelengthWhat you see
A human310 K9.3 μm (infrared)Nothing — but a thermal camera does
An incandescent bulb filament3000 K970 nmYellowish; most of its output is wasted as infrared
The Sun's surface5800 K500 nmWhite, peaking in the green — the band our eyes evolved for

Classical wave theory predicted that a hot body should radiate ever more strongly at shorter wavelengths, without limit — the "ultraviolet catastrophe", which is plainly not what happens. In 1900 Max Planck obtained the correct curve by assuming that the oscillating charges in the body could only emit energy in discrete packets, or quanta, of size E = hf, with h = 6.626 × 10⁻³⁴ J s. He regarded it as a mathematical trick. It was not.

A photon of red light at 600 nm has f = c ÷ λ = 3.00 × 10⁸ ÷ 6.00 × 10⁻⁷ = 5.00 × 10¹⁴ Hz, so E = hf = 6.626 × 10⁻³⁴ × 5.00 × 10¹⁴ = 3.31 × 10⁻¹⁹ J, which is 3.31 × 10⁻¹⁹ ÷ 1.60 × 10⁻¹⁹ = 2.07 eV. Visible photons carry a few electron-volts; that is the scale of chemistry, which is why light drives photosynthesis and photography.

4.2The photoelectric effect

Shine light on a clean metal surface in a vacuum and, under the right conditions, electrons come out. The observations, first made carefully around 1902, were impossible for a wave to explain:

A each photon carries E = hf incoming light, frequency f emitter collector photoelectrons cross the gap ammeter variable voltage the current measures how many electrons arrive each second THE PHOTOELECTRIC EFFECT one photon frees one electron — if hf is big enough KE max = hf − W W = work function of the metal threshold: f₀ = W ÷ h below f₀: no electrons, however bright brighter light: more electrons, same KE max higher f: faster electrons emission is instant — no delay sodium, W = 2.28 eV, light of 400 nm: hf = 3.11 eV, so KE max = 0.83 eV stopping voltage Vs = 0.83 V threshold λ₀ = 545 nm (green)
Figure 4.1 — the apparatus, and the four observationsReverse the supply so the collector is negative and the current falls; the stopping voltage Vs at which it reaches zero measures the fastest electrons directly, since eVs = KEmax. Wave theory said a brighter light should give faster electrons and a dim light should give them after a delay. Neither happens.
  1. Below a threshold frequency f₀ that depends on the metal, no electrons are emitted, however intense the light.
  2. Above it, emission is instantaneous — no time to "build up" energy.
  3. The maximum kinetic energy of the electrons depends on the frequency of the light, not on its brightness.
  4. Brightness controls only how many electrons are emitted per second — the current.

Einstein, 1905: light arrives as photons of energy hf, and one photon gives all its energy to one electron. The electron spends the work function W — the minimum energy to escape that metal — and keeps the rest: KEmax = hf − W. If hf < W nothing escapes, and no number of too-small photons will add up. This is the work that won Einstein the Nobel Prize.

Figure 4.2 — KEmax against frequency is a straight lineEvery metal gives the same gradient, h, and a different intercept, −W. Millikan measured this line in 1916 hoping to prove Einstein wrong, and found the gradient gave Planck's constant to better than one per cent. Nothing below the threshold: the line has no meaning where KE would be negative.
Worked — sodium under violet light

Sodium's work function is 2.28 eV. Light of wavelength 400 nm falls on it.

f = c ÷ λ = 3.00 × 10⁸ ÷ 4.00 × 10⁻⁷ = 7.50 × 10¹⁴ Hz

hf = 6.626 × 10⁻³⁴ × 7.50 × 10¹⁴ = 4.97 × 10⁻¹⁹ J = 4.97 × 10⁻¹⁹ ÷ 1.60 × 10⁻¹⁹ = 3.11 eV

KEmax = hf − W = 3.11 − 2.28 = 0.83 eV = 1.32 × 10⁻¹⁹ J, so the stopping voltage is 0.83 V.

Threshold. f₀ = W ÷ h = (2.28 × 1.60 × 10⁻¹⁹) ÷ 6.626 × 10⁻³⁴ = 3.65 × 10⁻¹⁹ ÷ 6.626 × 10⁻³⁴ = 5.51 × 10¹⁴ Hz, a wavelength of 545 nm. Red light at 650 nm (4.6 × 10¹⁴ Hz) is below threshold: a red floodlight gets nothing out of sodium, a faint violet glimmer does.

4.3Wave–particle duality

If light waves behave as particles, do particles behave as waves? Louis de Broglie proposed in 1924 that everything with momentum has a wavelength λ = h ÷ p = h ÷ mv. Three years later Davisson and Germer fired electrons at a nickel crystal and saw a diffraction pattern — the unmistakable signature of a wave, at exactly the wavelength de Broglie predicted. Electron microscopes exploit it: a short de Broglie wavelength resolves details that visible light, at 500 nm, cannot.

ObjectMomentum p = mvλ = h ÷ pConsequence
An electron at 2.0 × 10⁶ m s⁻¹9.11 × 10⁻³¹ × 2.0 × 10⁶ = 1.8 × 10⁻²⁴3.6 × 10⁻¹⁰ mAbout the spacing of atoms in a crystal — so it diffracts
A cricket ball, 0.16 kg at 40 m s⁻¹6.41.0 × 10⁻³⁴ mUnmeasurably small — no wave behaviour is ever seen

Neither "wave" nor "particle" is the truth; both are pictures that work in their own regime. Light and matter alike are quantum objects that propagate as waves and are detected as particles.

4.4The Bohr model and emission spectra

Hot hydrogen gas does not glow with a smooth rainbow: it emits a few sharp lines of definite colour. In 1913 Niels Bohr explained them by proposing that the electron can only occupy certain allowed orbits, each with a fixed energy En = −13.6 ÷ n² eV, and that it radiates only when it jumps between them. The photon carries exactly the energy difference: hf = Eupper − Elower. Absorption is the same in reverse, which is why the dark lines in a star's spectrum sit at the same wavelengths as the bright ones in a lamp.

n = ∞ 0 eV n = 4 −0.85 eV n = 3 −1.51 eV n = 2 −3.40 eV n = 1 −13.6 eV 3 → 2: 1.89 eV 656 nm, red (H-α) 4 → 2: 2.55 eV 486 nm, blue-green (H-β) 2 → 1: 10.2 eV 122 nm, ultraviolet (Lyman-α) HYDROGEN ENERGY LEVELS photon energy = the gap jumped: hf = E upper − E lower E n = −13.6 ÷ n² eV n = 1: −13.6 n = 2: −3.40 n = 3: −1.51 n = 4: −0.85 n = ∞: 0 (the electron is free) ionisation from n = 1: 13.6 eV λ = hc ÷ E; 1 eV = 1.60 × 10⁻¹⁹ J energy in: absorption (jump up) energy out: emission (drop down) level spacing drawn not to scale arrows show emission: the electron drops, and a photon carries away exactly the difference
Figure 4.3 — the hydrogen ladderThe levels are negative because the electron is bound: it takes 13.6 eV to pull it from the ground state to freedom. Drops to n = 2 give the visible Balmer lines you can see through a spectroscope; drops to n = 1 are all ultraviolet. The rungs crowd together as n grows, which is why the lines bunch up toward a limit.
Worked — the red line of hydrogen

Electron drops from n = 3 to n = 2. ΔE = E₃ − E₂ = (−1.51) − (−3.40) = 1.89 eV = 1.89 × 1.60 × 10⁻¹⁹ = 3.02 × 10⁻¹⁹ J.

λ = hc ÷ E = (6.626 × 10⁻³⁴)(3.00 × 10⁸) ÷ 3.02 × 10⁻¹⁹ = 6.58 × 10⁻⁷ m, about 658 nm. The measured H-α line is at 656 nm — the small gap is rounding in the level energies.

Bohr's model works only for hydrogen and hydrogen-like ions, and it never explained why those orbits were allowed. De Broglie did: an orbit is allowed when a whole number of electron wavelengths fits around it — a standing wave. The full quantum mechanics of 1925–26 replaced orbits with orbitals and kept the energies.

4.5The Standard Model

By the 1960s accelerators had found hundreds of "elementary" particles, far too many to all be fundamental. The Standard Model reduces them to twelve matter particles (fermions) in three generations, plus the force-carrying bosons. Ordinary matter needs only the first generation: up and down quarks, and the electron.

Generation 1Generation 2Generation 3Charge
Quarksup (u)charm (c)top (t)+⅔ e
down (d)strange (s)bottom (b)−⅓ e
Leptonselectron (e⁻)muon (μ⁻)tau (τ⁻)−1 e
electron neutrino (νe)muon neutrino (νμ)tau neutrino (ντ)0
InteractionCarrier (gauge boson)Acts onRangeRelative strength
Stronggluon (g)Quarks — binds them into hadrons, and nucleons into nucleiAbout 10⁻¹⁵ m1
Electromagneticphoton (γ)Anything with chargeInfiniteabout 10⁻²
WeakW⁺, W⁻, Z⁰All quarks and leptons — changes one flavour into another; beta decayAbout 10⁻¹⁸ mabout 10⁻⁶
Gravity(graviton — hypothetical; not part of the Standard Model)Anything with mass or energyInfiniteabout 10⁻³⁹
  • Every particle has an antiparticle of the same mass and opposite charge: the positron e⁺, the antiproton, antiquarks written with a bar. Particle meets antiparticle and both annihilate into photons; the reverse, pair production, needs at least 2mc² of energy.
  • Quarks are never seen alone. They combine into hadrons: baryons of three quarks — the proton is uud (+⅔ +⅔ −⅓ = +1), the neutron udd (+⅔ −⅓ −⅓ = 0) — and mesons of a quark and an antiquark, such as the pion π⁺ = u anti-d.
  • Leptons do not feel the strong force. Neutrinos feel only the weak force, which is why trillions pass through you each second unnoticed.
  • Three quantities are conserved in every interaction and let you check any proposed reaction: charge, baryon number (+1 per baryon, −1 per antibaryon, 0 for leptons and mesons) and lepton number (+1 per lepton, −1 per antilepton).
  • The Higgs boson, predicted in 1964 and found at CERN in 2012, is the quantum of the field that gives the W, Z, quarks and leptons their mass.

4.6Reading a Feynman diagram

time two electrons repel by exchanging a photon the electromagnetic interaction e⁻ e⁻ e⁻ e⁻ γ, virtual photon beta-minus decay: d → u + e⁻ + antineutrino the weak interaction, carried by the W⁻ boson d u e⁻ antineutrino W⁻ boson straight lines: fermions (quarks, leptons) · wavy lines: bosons · a dot is a vertex, where the interaction happens · time runs upward
Figure 4.4 — two interactions, drawn the way physicists draw themA Feynman diagram is read along the time axis: what comes in at the bottom, what goes out at the top, and which boson passes between. At every vertex charge, baryon number and lepton number balance. Check the right-hand diagram: the d quark (−⅓) becomes u (+⅔) by emitting W⁻ (−1); the W⁻ becomes an electron (−1, lepton number +1) and an antineutrino (0, lepton number −1). This is the same beta-minus decay you balanced in Year 11 — a neutron (udd) turning into a proton (uud) — now seen one quark at a time.

4.7Particle accelerators

Everything in this unit comes together in the machines that test it. An accelerator uses electric fields to speed charged particles up (W = qV, over and over) and magnetic fields to steer them (r = mv ÷ qB, which is why a ring needs stronger magnets as the energy rises). A linear accelerator is a straight line of accelerating gaps; a synchrotron such as the Large Hadron Collider at CERN is a ring 27 km round in which two proton beams circulate in opposite directions and collide at energies of 13 TeV.

  • Why so much energy? Two reasons, both from this course. De Broglie: a higher momentum means a shorter wavelength, and a shorter wavelength resolves smaller structures — you cannot see inside a proton with a probe whose wavelength is bigger than the proton. And E = mc²: to create a particle of mass m you must bring at least mc² of energy into the collision. The Higgs, at 125 GeV, needed the LHC.
  • Why relativity matters here. LHC protons travel at 0.999999990c, with γ about 7000. Their momentum is γmv, not mv; the magnets are designed around the relativistic value, and the accelerating fields are timed for a speed that barely changes while the energy climbs a thousandfold.
  • Detectors wrap the collision point in layers: tracking chambers in a magnetic field measure momentum from the curvature of each track (and the sign of the charge from which way it bends), calorimeters absorb particles to measure their energy, and muon chambers on the outside catch the one charged particle that gets through everything else.
Start hereQCAA Mathematical MethodsGeneral · Units 3–4

The year the calculus pays off.

Units 3 and 4 finish what Year 11 started. The exponential function gets its own derivative, three new rules let you differentiate almost anything, and integration — the reverse of differentiation — turns out to measure area. Then the sine wave becomes a function you can differentiate, the binomial idea becomes a full distribution, and the normal curve lets you estimate a whole population from one sample. Everything here is examined externally, and everything here is worth exactly the working you show.

The mapSeven QCAA topics, four units here

  1. Unit 3 — Logarithmic functions and further differentiation. Log laws with base e, the functions ex and ln x and their derivatives, the chain, product and quotient rules, and the second derivative as a test of concavity.
  2. Unit 3 — Applications of differentiation, and integrals. Optimisation with the new rules, kinematics (displacement, velocity, acceleration), anti-differentiation, the fundamental theorem of calculus, and the definite integral as a signed area.
  3. Unit 4 — Trigonometric functions and discrete random variables. Amplitude, period and phase, the derivatives of sin and cos, Bernoulli trials and the full binomial distribution with its mean np and variance np(1 − p).
  4. Unit 4 — Continuous random variables and inference. Probability density functions, the normal distribution and z-scores, the 68–95–99.7 rule, sample proportions and a confidence interval for a proportion.
How Year 12 Methods is assessed

Four pieces. IA1, a problem-solving and modelling task (20%). IA2, an examination (15%). IA3, an examination (15%). Then the external examination (50%), set and marked by QCAA in two papers: Paper 1 is technology-free — exact values, log laws, derivatives and integrals by hand — and Paper 2 is technology-active, where the calculator does the arithmetic and the marks are for setting up, interpreting and justifying. Practise both modes: every worked example in this course says which one it belongs to.

The three habits that lose the most marks in Year 12

Forgetting the chain rule factor (the derivative of e3x is 3e3x, not e3x); dropping the + c on an indefinite integral, or the minus sign when an area sits below the x-axis; and reading a confidence interval as a probability about the population. Each one is a single line of working that markers look for by name.

Unit 3 · Topics 1–2QCAA MM U3Logarithmic functions and further differentiation

Logarithmic functions and further differentiation

In Year 11 you differentiated polynomials. Now the world gets bigger: exponential growth, logarithms, and anything built by composing, multiplying or dividing simpler functions. Three rules cover all of it, and one special number, e, makes the exponential function the only function that is its own derivative.

1.1The number e and the natural logarithm

e ≈ 2.71828 is the base at which an exponential curve’s gradient equals its own height. The natural logarithm ln x is loge x: the power you raise e to in order to get x. The two functions undo each other, and every log law from Year 11 applies with base e.

FactExampleWhy
ln e = 1, ln 1 = 0ln e² = 2e¹ = e and e⁰ = 1; the power law then gives 2 ln e = 2
eln x = x and ln(ex) = xeln 5 = 5Each is the inverse of the other
ln(mn) = ln m + ln nln 6 = ln 2 + ln 3Multiplying adds the powers
ln(m/n) = ln m − ln nln 20 − ln 2 = ln 10Dividing subtracts them
ln(mp) = p ln mln(e3x) = 3xA power is repeated multiplication
loga b = ln b ÷ ln alog₂ 20 = ln 20 ÷ ln 2 = 4.32Change of base — the calculator only needs ln
  1. Solving e2x = 10. Take ln of both sides: 2x = ln 10, so x = ln 10 ÷ 2 = 1.151 (3 decimal places). On Paper 1 you stop at the exact form x = ½ ln 10.
  2. Solving ln(x − 1) = 2. Rewrite as a power: x − 1 = e², so x = e² + 1 ≈ 8.389. Always check the argument of the log is positive: x − 1 = e² > 0 ✓
  3. Continuous growth. A population modelled by P = 500e0.03t reaches 1000 when e0.03t = 2, so 0.03t = ln 2 and t = ln 2 ÷ 0.03 = 23.1 years. The doubling time of any ekt model is ln 2 ÷ k.

1.2ex and ln x as functions — and their derivatives

The two derivatives this unit is built on

If y = ex then dy/dx = ex — the curve’s gradient at every point equals its height there.
If y = ln x then dy/dx = 1/x (for x > 0) — the gradient of the log curve dies away as x grows, but never reaches zero.

Figure 1.1 — y = ex with two of its tangentsAt x = 0 the height is 1 and the gradient is 1; at x = 1 the height is e and the gradient is e. That is what «its own derivative» looks like. The natural logarithm y = ln x is this curve reflected in the line y = x: it passes through (1, 0), exists only for x > 0, and its gradient 1/x is the reciprocal of the x-value.

1.3The chain rule

A composite function is one function inside another: e3x, (2x + 1)³, ln(x² + 1), √(4x − 3). The chain rule says: differentiate the outside, keep the inside unchanged, then multiply by the derivative of the inside. In symbols, if y = f(u) and u = g(x), then dy/dx = dy/du × du/dx.

FunctionOutside → insideDerivative
y = (2x + 1)³cube → 2x + 13(2x + 1)² × 2 = 6(2x + 1)²
y = e3xeu → 3xe3x × 3 = 3e3x
y = e−x²eu → −x²e−x² × (−2x) = −2x e−x²
y = ln(x² + 1)ln u → x² + 11/(x² + 1) × 2x = 2x/(x² + 1)
y = √(4x − 3) = (4x − 3)½square root → 4x − 3½(4x − 3)−½ × 4 = 2/√(4x − 3)
The factor everyone forgets

The derivative of e3x is 3e3x, not e3x. The derivative of (2x + 1)³ is 6(2x + 1)², not 3(2x + 1)². Ask «what is the inside, and what is its derivative?» every single time — it is the most common lost mark on Paper 1.

1.4The product and quotient rules

Product rule: y = uvQuotient rule: y = u/v
Ruledy/dx = u′v + uv′dy/dx = (u′v − uv′) ÷ v²
In wordsDifferentiate each factor in turn, keep the other, addSame idea on top, but a minus, and divide by the bottom squared
Exampley = x²ex: u = x², v = exy = x/(x² + 1): u = x, v = x² + 1
Working2x·ex + x²·ex = x(x + 2)ex[1·(x² + 1) − x·2x] ÷ (x² + 1)² = (1 − x²)/(x² + 1)²
Second exampley = x ln x: 1·ln x + x·(1/x) = ln x + 1y = ex/x: (ex·x − ex·1)/x² = ex(x − 1)/x²
  1. Factorise the answer. 2xex + x²ex becomes x(x + 2)ex, which shows at a glance that the gradient is zero at x = 0 and x = −2 — the stationary points, for free.
  2. Order matters in the quotient rule. The top is u′v − uv′: derivative of the top times the bottom, first. Swap them and every sign is wrong.
  3. Where the rules stack. y = x²e3x is a product whose second factor needs the chain rule: 2x·e3x + x²·3e3x = xe3x(2 + 3x).

1.5The second derivative and concavity

Differentiate f′(x) again and you get f″(x), the second derivative: the rate at which the gradient itself is changing. It tells you which way the curve bends.

Sign of f″(x)ShapeAt a stationary point it means
f″(x) > 0Concave up — the gradient is increasing, the curve holds waterA local minimum
f″(x) < 0Concave down — the gradient is decreasing, the curve sheds waterA local maximum
f″(x) = 0 and changes signA point of inflection — the bend switches directionTest with the sign of f′ either side instead
  1. Worked: f(x) = x³ − 3x². f′(x) = 3x² − 6x = 3x(x − 2), so the stationary points are at x = 0 and x = 2. f″(x) = 6x − 6.
  2. Classify them. f″(0) = −6 < 0, so (0, 0) is a local maximum. f″(2) = 6 > 0, so (2, −4) is a local minimum. One substitution each — faster than a sign table.
  3. Inflection. f″(x) = 0 at x = 1, and it changes from negative to positive there, so (1, −2) is a point of inflection: the curve stops bending down and starts bending up.
Figure 1.2 — a function, its derivative and its second derivativeRead them downward: where f is flat, f′ is zero; where f′ is flat, f″ is zero. The sign of f″ at each stationary point of f classifies it without any sign table, which is why the second-derivative test is the Year 12 method of choice.
Unit 3 · Topics 2–3QCAA MM U3Applications of differentiation, and integrals

Applications of differentiation, and integrals

Differentiation answers «how fast?» and «where is the best?». Integration asks the reverse question — given the rate, what was the total? — and the surprising answer is that the total is an area under a graph. The fundamental theorem of calculus is the bridge, and it is the single most important line in the whole course.

2.1Optimisation with the new tools

Worked example — an open box (Paper 1 style)

Problem. A square of cardboard 24 cm by 24 cm has a square of side x cm cut from each corner; the flaps fold up to make an open box. Find the value of x that maximises the volume, and the maximum volume.

1. Model. The base is (24 − 2x) by (24 − 2x) and the height is x, so V = x(24 − 2x)², with 0 < x < 12.

2. Differentiate (product rule with a chain rule inside): V′ = 1·(24 − 2x)² + x·2(24 − 2x)(−2) = (24 − 2x)[(24 − 2x) − 4x] = (24 − 2x)(24 − 6x).

3. Solve V′ = 0. x = 12 (which gives no box at all) or x = 4.

4. Justify. Expand V = 4x³ − 96x² + 576x, so V″ = 24x − 192 and V″(4) = −96 < 0: a maximum.

5. Answer in context. V(4) = 4 × 16² = 1024 cm³, with corner cut-outs of 4 cm.

Domain, then answer, then units

x = 12 solves V′ = 0 but is not in the domain (the base would vanish), so say so. Then give the volume, not just the x. Then write cm³. Three separate marks.

2.2Kinematics: displacement, velocity, acceleration

If displacement x(t) is a particle’s position relative to an origin, then velocity v = dx/dt and acceleration a = dv/dt = d²x/dt². Differentiate to go down the chain; integrate to go back up.

QuantityFor x(t) = t³ − 6t² + 9t (metres, seconds)What it tells you
Displacementx(t) = t³ − 6t² + 9tPosition: x(0) = 0, x(1) = 4, x(3) = 0
Velocityv(t) = 3t² − 12t + 9 = 3(t − 1)(t − 3)Zero at t = 1 and t = 3: the particle is at rest and turns around
Accelerationa(t) = 6t − 12a(1) = −6 m/s²: at t = 1 it is slowing to a halt then reversing
Distance in the first 3 s|x(1) − x(0)| + |x(3) − x(1)| = 4 + 48 m travelled, even though the displacement after 3 s is 0
Distance is not displacement

The particle goes 4 m out and 4 m back: displacement 0, distance 8 m. Whenever velocity changes sign inside the interval, split the interval at the turning instant and add the absolute values.

2.3Anti-differentiation

An anti-derivative of f(x) is any function whose derivative is f(x). Because a constant differentiates to zero, there is a whole family of them, which is why every indefinite integral ends in + c.

∫ f(x) dxResultCheck by differentiating
∫ xn dxxn+1 ÷ (n + 1) + c, n ≠ −1Raise the power by one, divide by the new power
∫ (6x − 4) dx3x² − 4x + cd/dx(3x² − 4x) = 6x − 4 ✓
∫ ekx dxekx ÷ k + cThe chain rule would multiply by k, so divide by k
∫ 1/x dxln|x| + cThe missing case n = −1 — it is the log
∫ (2x + 1)³ dx(2x + 1)⁴ ÷ 8 + cDivide by the new power 4 and by the inside derivative 2
  1. Finding c. If f′(x) = 6x − 4 and f(1) = 5, then f(x) = 3x² − 4x + c and 3 − 4 + c = 5, so c = 6: f(x) = 3x² − 4x + 6.
  2. Velocity to displacement. If v(t) = 6t − 12 and the particle starts at x = 5, then x(t) = 3t² − 12t + 5.

2.4The fundamental theorem and definite integrals

The fundamental theorem of calculus

If F is any anti-derivative of f, then ab f(x) dx = F(b) − F(a), and that number is the signed area between the curve and the x-axis from x = a to x = b. Regions above the axis count positive, regions below count negative. No + c is needed: it cancels in the subtraction.

  1. ∫₀³ (x² + 1) dx = [x³/3 + x]₀³ = (9 + 3) − 0 = 12.
  2. Area under y = 4 − x² from x = −2 to 2. [4x − x³/3] from −2 to 2 = (8 − 8/3) − (−8 + 8/3) = 16 − 16/3 = 32/3 ≈ 10.67 units². The curve is above the axis on the whole interval, so the integral is the area.
  3. Below the axis. ∫₀² (x² − 4) dx = [x³/3 − 4x]₀² = 8/3 − 8 = −16/3. The integral is negative because the region is under the axis; the area is 16/3. Always sketch first.
  4. With e and ln. ∫₁e 1/x dx = ln e − ln 1 = 1. ∫₀¹ ex dx = e¹ − e⁰ = e − 1 ≈ 1.718.
  5. Between two curves. y = x lies above y = x² between x = 0 and x = 1, so the area between them is ∫₀¹ (x − x²) dx = [x²/2 − x³/3]₀¹ = 1/2 − 1/3 = 1/6. Top curve minus bottom curve, always.
Figure 2.1 — the definite integral as a signed areaSame shape, opposite sign. Between x = −2 and x = 2, ∫ (4 − x²) dx = 32/3 and ∫ (x² − 4) dx = −32/3. When a question asks for area, split the interval at every x-intercept, integrate each piece, and take absolute values before adding.
Unit 4 · Topics 1–3QCAA MM U4Trigonometric functions and discrete random variables

Trigonometric functions and discrete random variables

Two things that repeat. A wave repeats in space and time, and once you can shift and stretch it, you can model tides, sound and daylight — then differentiate it, because the derivative of a sine wave is another sine wave. A Bernoulli trial repeats in probability, and counting its successes gives the binomial distribution, with a mean and variance you can write down without a table.

3.1The general sine and cosine: y = a sin(b(x − c)) + d

ParameterControlsIn y = 2 sin(2x) + 1In y = 3 cos(x − π/2)
aAmplitude |a|, the height above and below the centre line23
bPeriod 2π/b, the distance before it repeats2π/2 = π
cPhase shift: the graph moved c to the right0π/2 right (which turns cos into sin)
dVertical shift: the centre line is y = d1, so the range is −1 ≤ y ≤ 30
  1. Maximum and minimum are d + |a| and d − |a|. For y = 2 sin(2x) + 1 they are 3 and −1.
  2. Solving on a domain. sin x = ½ for 0 ≤ x ≤ 2π: the reference angle is π/6, and sine is positive in the first and second quadrants, so x = π/6 or 5π/6. Check the number of solutions against the number of periods in the domain.
  3. Modelling. A tide with high water 3 m, low water 1 m and a 12-hour cycle: amplitude 1, centre 2, period 12 so b = 2π/12 = π/6. If high tide is at t = 0, h = cos(πt/6) + 2.
Figure 3.1 — amplitude, period, vertical shift and phaseEvery trigonometric graph question is these four numbers. Read amplitude from the height, period from the repeat distance, d from the centre line, and c from where the wave starts its upward crossing. The phase shift is the one with the reversed sign, exactly as in Year 11 translations: sin(x − π/2) moves right.

3.2Differentiating and integrating sin and cos

Four results, one cycle

d/dx sin x = cos x and d/dx cos x = −sin x (x in radians — the results are false in degrees).
So ∫ cos x dx = sin x + c and ∫ sin x dx = −cos x + c. Differentiating goes sin → cos → −sin → −cos → sin.

FunctionDerivative (chain rule)Note
y = sin(3x)3 cos(3x)Inside derivative 3 comes out the front
y = cos(2x)−2 sin(2x)The minus from cos, the 2 from the chain
y = 3 sin(2x) + 16 cos(2x)The + 1 vanishes; 3 × 2 = 6
y = x sin xsin x + x cos xProduct rule
y = ex cos xex(cos x − sin x)Product rule, then factorise
  1. Gradient of y = sin x at x = 0 is cos 0 = 1; at x = π/3 it is cos(π/3) = ½; at x = π/2 it is 0 — the crest of the wave.
  2. ∫₀π/2 cos x dx = [sin x]₀π/2 = sin(π/2) − sin 0 = 1. The area under one quarter-wave of cosine is exactly 1 unit².
  3. ∫₀π sin x dx = [−cos x]₀π = −cos π + cos 0 = 1 + 1 = 2. One full hump of sine has area 2.
Figure 3.2 — y = sin x and its derivative y = cos xWherever sin x has a peak or trough, cos x is zero; wherever sin x is climbing fastest, cos x is at its maximum. Differentiating again gives −sin x, which is why a sine wave is its own second derivative with the sign flipped — the equation of every simple oscillation.

3.3Bernoulli trials and the binomial distribution

A Bernoulli trial has exactly two outcomes: success with probability p, failure with probability 1 − p. Its mean is p and its variance is p(1 − p). Count the successes in n independent Bernoulli trials and you get a binomial random variable, X ~ Bin(n, p).

The three binomial formulas

P(X = k) = nCk pk (1 − p)n−k,   E(X) = np,   Var(X) = np(1 − p), so the standard deviation is √[np(1 − p)].

Worked: a machine produces faulty parts with probability 0.1; a box holds 8. X ~ Bin(8, 0.1)CalculationResult
P(no faulty parts)0.9⁸0.430
P(exactly 2 faulty)⁸C₂ × 0.1² × 0.9⁶ = 28 × 0.01 × 0.5314410.149
P(at least 1 faulty)1 − P(X = 0) = 1 − 0.4300.570
Meannp = 8 × 0.10.8 faulty parts per box
Variance and SDnp(1 − p) = 8 × 0.1 × 0.9 = 0.72; √0.72Var 0.72, SD 0.849
  1. «At least one» is always the complement. 1 − P(none). Never add P(1) + P(2) + … + P(8) by hand.
  2. A guessing test. Ten multiple-choice questions with four options, guessed at random: X ~ Bin(10, 0.25), E(X) = 2.5 correct, Var(X) = 10 × 0.25 × 0.75 = 1.875. Guessing gets you a quarter, on average, and no more.
  3. Bin(4, 0.5) in full: P(0) = 1/16, P(1) = 4/16, P(2) = 6/16, P(3) = 4/16, P(4) = 1/16 — the row of Pascal’s triangle divided by 2⁴. Symmetric because p = 0.5; skewed whenever p is not.
  4. On Paper 2 the calculator’s binomial functions do the arithmetic; your marks are for writing X ~ Bin(8, 0.1), the probability statement, and the answer in context.
Unit 4 · Topics 4–5QCAA MM U4Continuous random variables and interval estimates

Continuous random variables and inference

Heights, times and masses do not come in whole numbers, so their probabilities cannot be listed — they have to be areas under a curve, which is exactly what you just learned to compute. The most important such curve is the normal distribution. The last step of the course turns it around: from one sample, how confident can you be about the whole population?

4.1Probability density functions

A continuous random variable X has a probability density function f(x) with two rules: f(x) ≥ 0 everywhere, and the total area under it is 1. Probabilities are areas: P(a ≤ X ≤ b) = ∫ab f(x) dx, and P(X = one exact value) is 0.

Worked: f(x) = kx for 0 ≤ x ≤ 2, and 0 elsewhereWorkingResult
Find k∫₀² kx dx = [kx²/2]₀² = 2k = 1k = ½
P(X ≤ 1)∫₀¹ x/2 dx = [x²/4]₀¹¼
Mean E(X) = ∫ x f(x) dx∫₀² x²/2 dx = [x³/6]₀² = 8/64/3 ≈ 1.33
Median m∫₀m x/2 dx = m²/4 = ½m = √2 ≈ 1.41
Figure 4.1 — the density f(x) = x/2 on [0, 2]The whole triangle has area ½ × 2 × 1 = 1. The mean 4/3 sits to the right of the midpoint because the density is heavier on the right; the median √2 is the x that splits the area into two halves. Both are found by integrating, exactly as in Unit 3.

4.2The normal distribution and z-scores

The normal distribution X ~ N(μ, σ²) is the bell-shaped density that measurements cluster into: symmetric about the mean μ, with the standard deviation σ setting how wide the bell is. Any normal value is converted to a z-score by z = (x − μ) ÷ σ: the number of standard deviations above (or below) the mean.

The 68–95–99.7 ruleIntervalFor heights with μ = 170 cm, σ = 8 cm
About 68% of values lie withinμ ± 1σ162 to 178 cm
About 95% lie withinμ ± 2σ154 to 186 cm — so 2.5% are above 186
About 99.7% lie withinμ ± 3σ146 to 194 cm — only 0.15% are above 194
  1. A z-score. A height of 182 cm is z = (182 − 170) ÷ 8 = 1.5: one and a half standard deviations above the mean. The calculator gives P(Z < 1.5) = 0.9332, so about 93% of people are shorter.
  2. Comparing across scales. A mark of 75 in Maths (μ = 65, σ = 8) has z = 1.25; a mark of 70 in English (μ = 60, σ = 10) has z = 1. The Maths result is the stronger one, even though 70 out of 100 and 75 out of 100 look similar.
  3. Working backwards. The tallest 10% start at z = 1.2816, so x = 170 + 1.2816 × 8 = 180.3 cm. Inverse-normal on the calculator; the mark is for the setup x = μ + zσ.
Figure 4.2 — two normal densities, σ = 1 and σ = 2Both are symmetric about 0 and both enclose an area of exactly 1. A larger σ spreads the same area over a wider bell, so it must be lower. Every normal probability is an area under one of these curves, and converting to z is what lets a single table, or a single calculator function, serve all of them.

4.3Sample proportions

Take a random sample of n people and let X be the number with some property. The sample proportion is p̂ = X ÷ n. It varies from sample to sample, but predictably:

Fact about p̂FormulaWorked: p = 0.4, n = 100
Its mean is the true proportionE(p̂) = p0.4
Its standard deviation shrinks with nSD(p̂) = √[p(1 − p) ÷ n]√(0.24 ÷ 100) = 0.049
Its shape is approximately normal for large np̂ ≈ N(p, p(1 − p)/n)About 95% of samples give p̂ between 0.30 and 0.50
Four times the sample halves the spread√(1/4) = 1/2n = 400 gives SD 0.0245

4.4A confidence interval for a proportion

The interval

p̂ ± z × √[p̂(1 − p̂) ÷ n], with z = 1.645 for 90% confidence, 1.96 for 95%, and 2.576 for 99%. The part after the ± is the margin of error.

Worked example, set out for Paper 2

Problem. In a random sample of 400 students, 140 say they walk to school. Find a 95% confidence interval for the proportion of all students who walk.

1. Sample proportion. p̂ = 140 ÷ 400 = 0.35.

2. Standard error. √(0.35 × 0.65 ÷ 400) = √0.00056875 = 0.02385.

3. Margin of error. 1.96 × 0.02385 = 0.0467.

4. Interval. 0.35 ± 0.0467, so (0.303, 0.397).

5. Interpret. We are 95% confident that between 30.3% and 39.7% of all students walk to school. The method captures the true proportion in 95% of samples; this particular interval either does or does not, and we cannot know which.

  1. Wider or narrower? A 99% interval is wider (z = 2.576, margin 0.0614); a 90% interval is narrower (z = 1.645, margin 0.0392). More confidence costs precision.
  2. Halving the margin needs four times the sample: with n = 1600 the margin is 1.96 × √(0.2275 ÷ 1600) = 0.0234.
  3. Does it support a claim? If the principal claimed «40% of students walk», 0.40 lies outside (0.303, 0.397), so the sample gives evidence against the claim at the 95% level. If the claim were 35%, it sits inside and the sample is consistent with it.
The interpretation that markers reject

«There is a 95% probability that p is in (0.303, 0.397)» is wrong: p is a fixed number, not a random one. The randomness is in the sample. Say «95% confident», and, if asked to explain, say that 95% of intervals built this way contain the true proportion.

Start hereQCAA General MathematicsGeneral · Units 3–4

The maths of decisions, senior edition.

Units 3 and 4 take the Year 11 tools and point them at bigger questions. Does one variable really predict another, and by how much? What is a business’s sales trend once you strip out Christmas? What will a loan actually cost, and how long will a retirement fund last? And when a project has twenty tasks, which ones must not slip? Every topic here is examined externally, and every answer is a number with a sentence attached.

The mapSeven QCAA topics, four units here

  1. Unit 3 — Bivariate data analysis and time series. Scatter plots, Pearson’s r, the least-squares line, residuals, interpolation against extrapolation; then trend, seasonality, moving averages and seasonal indices.
  2. Unit 3 — Growth and decay in sequences, and Earth geometry. Arithmetic and geometric sequences written as recurrence relations, growth and decay models, latitude and longitude, distance along a meridian, and time-zone arithmetic with UTC.
  3. Unit 4 — Loans, investments and annuities. Compound interest as a recurrence, effective against nominal rates, reducing-balance loans, annuities and perpetuities, all worked line by line.
  4. Unit 4 — Graphs and networks, and decision mathematics. Network vocabulary, Euler and Hamiltonian paths, minimum spanning trees by Prim’s algorithm, shortest paths by Dijkstra’s method, critical path analysis and maximum flow.
How Year 12 General Maths is assessed

IA1, a problem-solving and modelling task (20%). IA2, an examination (15%). IA3, an examination (15%). Then the external examination (50%), set and marked by QCAA, in two papers with a calculator allowed in both. The marks are for choosing a model, calculating accurately, and interpreting the answer in context — «the loan is repaid in 37 months, costing $966.80 in interest», not a bare number.

The three habits that lose the most marks in Year 12

Extrapolating a regression line far beyond the data and reporting the nonsense it produces; rounding a seasonal index or an interest rate before the final step; and quoting a network answer (a total distance, a project duration) without naming the path or the activities that produce it.

Unit 3 · Topics 1–2QCAA GM U3Bivariate data analysis and time series

Bivariate data analysis and time series

Two variables, one question: does knowing one help you predict the other? A scatter plot shows the answer, Pearson’s r measures it, and the least-squares line turns it into a prediction. Then the same idea runs along time: a series of sales figures has a trend hiding under its seasonal ups and downs, and there is a method for finding it.

1.1Scatter plots and the least-squares line

The explanatory variable goes on the horizontal axis and the response variable on the vertical. Eight students recorded their weekly study hours (x) and their test score (y):

Hours, x12345678
Score, y5755596973717585
Predicted ŷ = 4x + 505458626670747882
Residual y − ŷ+3−3−3+3+3−3−3+3
0123456789 405060708090 hours studied per week (explanatory variable) test score, % (response variable) ŷ = 4x + 50 residual = 59 − 62 = −3 THE NUMBERS n = 8 students mean x = 4.5, mean y = 68 sₓ = 2.45, sₕ = 10.31 r = 0.95 (strong, positive, linear) r² = 0.90 gradient b = r × sₕ ÷ sₓ = 4.0 intercept a = 68 − 4 × 4.5 = 50 The line passes through (mean x, mean y), and the eight residuals add to zero.
Figure 1.1 — study hours against test score, with the least-squares lineThe line is placed so that the sum of the squared residuals is as small as possible; it always passes through the point of means (4.5, 68). A residual is actual minus predicted: at x = 3 the student scored 59 but the line predicts 62, so the residual is −3. Residuals scattered evenly above and below, with no curve in them, mean a linear model is appropriate.

1.2Pearson’s r and the coefficient of determination

Value of rStrengthWhat the scatter plot looks like
|r| from 0.75 to 1StrongPoints hug a straight line
|r| from 0.5 to 0.75ModerateA clear band with some scatter
|r| from 0.25 to 0.5WeakA tendency you can only just see
|r| below 0.25NoneA cloud; knowing x tells you nothing about y
Sign of rDirectionPositive: y rises with x. Negative: y falls as x rises
  1. Describe in four words. The plot above is strong, positive, linear, no outliers; r = 0.95 puts a number on «strong».
  2. The coefficient of determination r² = 0.95² = 0.90 means 90% of the variation in test score is explained by the variation in study hours. The other 10% is everything else — sleep, prior knowledge, luck. That sentence, in that form, is what the marker wants.
  3. r only measures linear association. A perfect curve can have r near 0. Always look at the plot before trusting the number.
  4. Correlation is still not causation — the Year 11 warning applies with more force now that you can compute a precise r. A strong r between two variables can be the work of a third.

1.3Using the line: interpret, interpolate, extrapolate

  1. Interpret the gradient in context. b = 4 means: each extra hour of weekly study is associated with a score 4 marks higher, on average. The intercept 50 is the predicted score with no study at all.
  2. Interpolation — predicting inside the data range — is reliable. At x = 5.5 hours, ŷ = 4(5.5) + 50 = 72.
  3. Extrapolation — predicting outside the range — is not. At x = 20 hours the line gives ŷ = 130, a score above 100%. The model is only known to hold between 1 and 8 hours; say so.

1.4Time series: the four components

ComponentMeaningExample
TrendThe long-term direction once the wobbles are removedA shop’s sales growing year on year
SeasonalA pattern that repeats over a fixed period — a year, a week, a dayIce-cream sales peaking every summer
CyclicalRises and falls over longer, irregular periodsA building boom followed by a slump
IrregularRandom one-off effects with no patternA flood closing the shop for a fortnight

Quarterly sales (in $000) for a surf shop over two years:

QuarterQ1 24Q2 24Q3 24Q4 24Q1 25Q2 25Q3 25Q4 25
Sales160200280160190260340210
4-point moving average200207.5222.5237.5250
Centred moving average203.75215230243.75
  1. Why 4 points? One full year of quarters. Averaging a whole cycle cancels the seasonal pattern and leaves the trend. The first 4-point average is (160 + 200 + 280 + 160) ÷ 4 = 200; the next slides one quarter along: (200 + 280 + 160 + 190) ÷ 4 = 207.5.
  2. Why centre? An average of four values sits between the second and third of them — between quarters, not on one. Averaging neighbouring 4-point averages puts it back on a quarter: (200 + 207.5) ÷ 2 = 203.75, lined up with Q3 2024.
  3. Read the trend. 203.75, 215, 230, 243.75: rising by roughly 13 a quarter. That is the growth the seasonal swings were hiding.
100200300400 sales, $000 Q1 24Q2 24Q3 24Q4 24 Q1 25Q2 25Q3 25Q4 25 quarter 160200280160 190260340210 quarterly sales (raw data) centred 4-point moving average = trend
Figure 1.2 — the surf shop’s sales, raw and smoothedThe raw line jumps every third quarter (summer) and slumps every fourth. The dashed moving average ignores those swings and shows the truth underneath: a steady climb from about 204 to about 244 across the year. The smoothed series is shorter than the raw one — two quarters are lost at each end, which is the price of averaging.

1.5Seasonal indices and deseasonalising

A seasonal index says how a season compares with the average season: an index of 1.38 means «38% above a typical quarter». The indices for one cycle always average to 1 (so four quarterly indices add to 4).

Q1Q2Q3Q4Yearly mean
2024 sales ÷ 2000.801.001.400.80(160 + 200 + 280 + 160) ÷ 4 = 200
2025 sales ÷ 2500.761.041.360.84(190 + 260 + 340 + 210) ÷ 4 = 250
Seasonal index (average)0.781.021.380.82Sum = 4.00 ✓
  1. Deseasonalise by dividing: Q3 2025 sales of 340 ÷ 1.38 = 246.4. Q1 2025: 190 ÷ 0.78 = 243.6. Once the season is stripped out, the two quarters are almost the same — the summer «boom» was just the season.
  2. Re-seasonalise by multiplying. If the trend predicts 260 for Q3 2026, the actual forecast is 260 × 1.38 = 358.8, about $359,000.
  3. Interpret an index in a sentence. «Q1 sales are typically 22% below the quarterly average» (index 0.78), or «Q3 sales are typically 38% above it» (index 1.38).
Unit 3 · Topics 3–4QCAA GM U3Growth and decay in sequences; Earth geometry and time zones

Growth and decay in sequences; Earth geometry and time zones

A recurrence relation is a rule for getting the next term from the one before — add the same amount, or multiply by the same factor. Those two rules describe simple interest and compound interest, straight-line and declining-balance depreciation, and every population model you will meet. Then the unit turns to the globe itself: where you are, how far apart two places are, and what time it is there.

2.1Arithmetic sequences: add the same amount

Recurrence relationExplicit ruleExample: 5, 9, 13, 17, …
Formtn+1 = tn + d, with t₁ = atn = a + (n − 1)dtn+1 = tn + 4, t₁ = 5
Common difference dThe fixed amount added each stepNegative d means decayd = 9 − 5 = 4
A far termWould take 19 stepsOne linet₂₀ = 5 + 19 × 4 = 81
GraphPoints on a straight line of gradient d — linear growth
  1. Simple interest is arithmetic. $2,000 at 5% p.a. simple interest earns $100 every year: tn+1 = tn + 100, t₀ = 2000, giving 2000, 2100, 2200, 2300, …
  2. Straight-line depreciation is arithmetic with d < 0. A $28,000 car losing $3,500 a year: tn+1 = tn − 3500.

2.2Geometric sequences: multiply by the same factor

Recurrence relationExplicit ruleExample: 3, 6, 12, 24, …
Formtn+1 = r × tn, with t₁ = atn = a × rn−1tn+1 = 2tn, t₁ = 3
Common ratio rThe fixed multiplier each stepGrowth if r > 1, decay if 0 < r < 1r = 6 ÷ 3 = 2
A far termWould take 9 doublingsOne linet₁₀ = 3 × 2⁹ = 1536
GraphPoints on an exponential curve — it outruns every arithmetic sequence eventually
  1. Compound interest is geometric. $5,000 at 4% p.a. compounded yearly: tn+1 = 1.04 tn, t₀ = 5000. After 3 years, 5000 × 1.04³ = $5,624.32.
  2. Population growth. A town of 12,000 growing 2.5% a year: tn+1 = 1.025 tn. After 5 years, 12000 × 1.025⁵ = 13,577 people (nearest whole).
  3. Decay. Declining-balance depreciation at 15% is tn+1 = 0.85 tn; a drug leaving the body at 20% an hour is tn+1 = 0.8 tn. The ratio is 1 minus the percentage.
  4. Which model? Ask whether the change each step is a fixed amount (arithmetic) or a fixed percentage (geometric). Interest of $100 a year is arithmetic; interest of 4% a year is geometric.
Figure 2.1 — arithmetic growth is a line, geometric growth is a curveThe arithmetic sequence starts ahead (5 against 3) and loses by the fourth term. Every geometric sequence with r > 1 eventually overtakes every arithmetic sequence, which is why compound interest matters so much more over 30 years than over 3.

2.3Latitude, longitude and distance along a meridian

Latitude measures degrees north or south of the equator (0° to 90°); longitude measures degrees east or west of the prime meridian through Greenwich (0° to 180°). A great circle is any circle on the sphere with the same centre as the Earth: the equator and every meridian are great circles, and the shortest route between two points always follows one.

Distance along a meridian

Two places on the same line of longitude are separated by an angle equal to the difference in their latitudes. With R = 6,371 km, distance = (angle ÷ 360) × 2πR, which works out to 111.2 km for every degree. Two towns at 16°S and 27°S on the same meridian are 11° apart: 11 × 111.2 = 1,223 km. Across the equator, 10°N to 25°S is 35° apart: 3,892 km.

equator, 0° latitude (a great circle) North Pole, 90°N South Pole, 90°S meridian of longitude (also a great circle) 30°S parallel (a small circle, not the shortest route) P, 16°S Q, 27°S R = 6,371 km ARC LENGTH P TO Q angle at the centre = 27° − 16° = 11° distance = (11 ÷ 360) × 2π × 6371 = 11 × 111.2 km = 1,223 km Same meridian, so subtract the latitudes. Opposite sides of the equator: ADD them. 10°N to 25°S is 35°, so 3,892 km. One degree of any great circle is 2π × 6371 ÷ 360 = 111.2 km.
Figure 2.2 — the Earth, its great circles, and one arcThe equator and every meridian pass through the Earth’s centre, so they are great circles and one degree along them is always 111.2 km. A parallel of latitude (other than the equator) is a smaller circle, which is why the shortest flight between two cities on the same latitude curves towards the pole rather than following the parallel.

2.4Time zones and UTC

The Earth turns 360° in 24 hours, so 15° of longitude is one hour. Times are quoted as offsets from UTC (Coordinated Universal Time, the time at 0° longitude): places east of Greenwich are ahead, places west are behind.

CityZoneWhen it is 15:00 in BrisbaneWorking
BrisbaneUTC+1015:00Start here. UTC = 15:00 − 10 h = 05:00
TokyoUTC+914:0005:00 + 9 h, one hour behind Brisbane
London (winter)UTC+005:00The same as UTC
New York (winter)UTC−500:00, same day05:00 − 5 h = midnight
PerthUTC+813:00Two hours behind Brisbane, in the same country
  1. From longitude. Two places at 150°E and 30°E differ by 120°, so their solar times differ by 120 ÷ 15 = 8 hours. Real zones follow borders, so always use the stated UTC offset when one is given.
  2. Flight arrivals. A flight leaves Brisbane (UTC+10) at 10:00 and takes 8 hours to Tokyo (UTC+9). It lands at 18:00 Brisbane time, which is 17:00 in Tokyo. Convert at the end, not the start.
  3. Daylight saving shifts a zone by +1 in summer: Sydney becomes UTC+11 while Brisbane stays at UTC+10. Questions will tell you when it applies.
Unit 4 · Topic 1QCAA GM U4Loans, investments and annuities

Loans, investments and annuities

Every loan, savings plan and pension is the same machine: a balance that grows by a percentage each period and then has a fixed payment added or taken away. Write that as a recurrence relation and you can follow any of them month by month — and see exactly why a car loan costs more than the sticker price.

3.1Compound interest as a recurrence; nominal against effective rates

With k compounding periods a year at a nominal rate r, the rate per period is i = r ÷ k and the balance follows Vn+1 = Vn(1 + i). The nominal rate is the advertised annual figure; the effective annual rate is what you actually earn or pay once compounding within the year is counted: (1 + r/k)k − 1.

Nominal 6% p.a., compounded…Rate per periodEffective annual rate
Yearly (k = 1)6%6.000%
Quarterly (k = 4)1.5%1.015⁴ − 1 = 6.136%
Monthly (k = 12)0.5%1.005¹² − 1 = 6.168%
Daily (k = 365)0.01644%6.183%
Compare loans by effective rate, never by nominal

«8% p.a. compounded quarterly» is really 1.02⁴ − 1 = 8.24% a year. A lender quoting 8.2% compounded yearly is cheaper, even though the number looks bigger.

3.2Reducing-balance loans

A reducing-balance loan charges interest on the balance still owing, then subtracts the repayment: Vn+1 = Vn(1 + i) − R. A $10,000 loan at 6% p.a. compounded monthly (i = 0.005) with repayments of $300 a month:

MonthOpening balanceInterest at 0.5%RepaymentClosing balance
1$10,000.00$50.00$300.00$9,750.00
2$9,750.00$48.75$300.00$9,498.75
3$9,498.75$47.49$300.00$9,246.24
  1. Recurrence. V₀ = 10000, Vn+1 = 1.005 Vn − 300. Check: 1.005 × 10000 − 300 = 9750 ✓
  2. Interest falls every month ($50.00, $48.75, $47.49) because the balance falls, so more of each $300 pays off principal.
  3. How long, how much? Run the recurrence on (a spreadsheet or the calculator’s finance solver): the balance reaches zero during month 37, and the total interest paid is about $967. Paying $400 a month instead clears it in 27 months and saves roughly $270 of interest.
  4. The trap of a small repayment. If R were only $50, it would exactly cover the first month’s interest and the balance would never fall — an interest-only loan, forever.

3.3Annuities: money in, money out

Savings annuity (regular deposits)Retirement annuity (regular withdrawals)
RecurrenceAn+1 = An(1 + i) + DAn+1 = An(1 + i) − W
Example$500 a month at 6% p.a. monthly, from $0$100,000 at 6% p.a. monthly, drawing $1,000 a month
Month 10 × 1.005 + 500 = $500.00100000 × 1.005 − 1000 = $99,500.00
Month 2500 × 1.005 + 500 = $1,002.5099500 × 1.005 − 1000 = $98,997.50
Month 31002.50 × 1.005 + 500 = $1,507.5198997.50 × 1.005 − 1000 = $98,492.49
Long runGrows faster and faster: the deposits earn interest on interestFalls faster and faster: the $500 of interest covers only half the withdrawal
Perpetuities: the withdrawal that never runs out

If the withdrawal equals the interest earned each period, the balance never changes and the payments continue forever. Payment = balance × rate per period. $200,000 invested at 5% p.a. paid yearly funds a perpetuity of 200000 × 0.05 = $10,000 a year. $500,000 at 4% p.a. paid monthly funds 500000 × 0.04 ÷ 12 = $1,666.67 a month. Withdraw a cent more and the balance starts to shrink — slowly, then quickly.

What the marker is looking for in a finance question

The recurrence relation written out with its starting value; the rate per period stated (0.5%, not 6%); at least one step shown by hand to prove the model; then technology for the long run; then the answer in dollars and cents, in a sentence, with the assumption («assuming the rate does not change») named.

Unit 4 · Topics 2–3QCAA GM U4Graphs and networks; networks and decision mathematics

Graphs and networks, and decision mathematics

Year 11 taught you to read a network. Year 12 teaches you to solve one: the cheapest way to connect everything, the shortest route between two points, the tasks a project cannot afford to delay, and the most that can flow through a system of pipes or roads. Each has an algorithm — a recipe that always works — and each is done by hand in the exam.

4.1One network, four questions

The network below has six vertices and nine weighted edges (distances in km). Everything in the next three sections is worked on it.

SIX VERTICES, NINE EDGES — thick edges form the minimum spanning tree (total 14) 4 2 1 6 8 2 6 3 7 ABC DEF degree 2 degree 4 degree 3 degree 4 degree 3 degree 2 Degrees sum to 2 + 4 + 3 + 4 + 3 + 2 = 18 = 2 × 9 edges. Odd vertices: C and E only.
Figure 4.1 — the working networkEdge weights are distances in km. The thick edges are the minimum spanning tree found in 4.3: five edges (one fewer than the six vertices), no cycles, every vertex reached, total 2 + 1 + 6 + 2 + 3 = 14 km. The thin edges are the four the tree leaves out.

4.2Euler and Hamiltonian: edges once, or vertices once

Euler trail / circuitHamiltonian path / cycle
UsesEvery edge exactly once (vertices may repeat)Every vertex exactly once (edges may be skipped)
Real jobA garbage truck covering every street; a snow ploughA courier visiting every house; a travelling salesperson
TestCircuit: every vertex has even degree. Trail (open): exactly two odd vertices, and it must start at one and end at the otherNo simple test — find one by inspection, or explain why none exists
In Figure 4.1C and E are the only odd vertices, so an Euler trail from C to E exists (no circuit)A–B–E–F–D–C–A is a Hamiltonian cycle: six vertices, back to the start
  1. Euler’s formula for planar graphs: v − e + f = 2, counting the outside region as a face. Figure 4.1 has 6 vertices and 9 edges, so 6 − 9 + f = 2 gives f = 5: the four triangles A-B-C, B-C-D, B-D-E, D-E-F, plus the outside.
  2. Making a network traversable. Adding one edge between the two odd vertices (C–E) would make every degree even and create an Euler circuit — the one-edge fix examiners like to ask about.

4.3Prim’s algorithm: the minimum spanning tree

A spanning tree connects every vertex with no cycles; the minimum spanning tree is the one with the smallest total weight — the cheapest cable, pipe or road layout that reaches everywhere. Prim’s algorithm: start at any vertex, then repeatedly add the cheapest edge that joins a vertex already in the tree to one that is not.

StepVertices in the treeCheapest edge outRunning total
1AA–C (2) beats A–B (4)2
2A, CC–B (1)3
3A, C, BB–D (6) beats B–E (7) and C–D (8); A–B is skipped — both ends already in9
4A, C, B, DD–E (2)11
5A, C, B, D, EE–F (3) beats D–F (6)14

4.4Dijkstra’s method: the shortest path

Shortest path from A to F. Label every vertex with the best distance found so far, settle the smallest unsettled label, and update its neighbours. Record where each best distance came from, so the path can be read backwards at the end.

SettleBCDEF
A (0)4 via A2 via A
C (2)3 via C (2 + 1 beats 4)settled10 via C
B (3)settled9 via B (3 + 6 beats 10)10 via B
D (9)settled10 via B (9 + 2 = 11 does not beat 10)15 via D
E (10)settled13 via E (10 + 3 beats 15)

Read it backwards: F came via E, E via B, B via C, C via A. The shortest path is A–C–B–E–F, 13 km. Notice it uses B–E, which the minimum spanning tree left out: the cheapest way to connect everything is not the same question as the shortest way between two places.

4.5Critical path analysis

A project is a set of activities with durations and prerequisites. Draw it as an activity network, then scan forward for the earliest each activity can start and backward for the latest it may start without delaying the finish. Activities with no slack form the critical path, whose length is the shortest possible project time.

ActivityDaysMust followEarliest startLatest startFloat = latest − earliest
A3011
B2000 — critical
C4A341
D6B220 — critical
E2C and D880 — critical
F3B275
ACTIVITY NETWORK — thick arrows are the critical path B, D, E = 10 days A: 3 days B: 2 days C: 4 days D: 6 days E: 2 days F: 3 days 12345 start, day 0 A done: day 3 B done: day 2 C and D done: day 8 finish, day 10
Figure 4.2 — the activity network for the six-activity projectNode 4 is reached only when both C (earliest finish day 7) and D (earliest finish day 8) are complete, so E cannot start before day 8. The longest route through the network, B–D–E, is 2 + 6 + 2 = 10 days: the critical path. F could start as late as day 7 and still finish by day 10, so it has 5 days of float; A and C have 1 day each.

4.6Maximum flow and the minimum cut

In a flow network each edge has a capacity and the question is how much can travel from the source S to the sink T per unit time. A cut is any line that separates S from T; its capacity is the total of the edges it crosses in the direction from S to T. The maximum flow equals the capacity of the minimum cut.

8 6 3 5 7 minimum cut: 5 + 7 = 12 SABT source sink EVERY CUT {S}: 8 + 6 = 14 {S, A}: 6 + 3 + 5 = 14 {S, B}: 8 + 7 = 15 {S, A, B}: 5 + 7 = 12 Smallest cut = 12, so the maximum flow is 12. Flow: 5 along A–T, 3 via A–B–T, 4 along S–B–T.
Figure 4.3 — a flow network and its minimum cutBoth edges into T carry their full capacity (5 + 7 = 12) and nothing can squeeze past them, so 12 is the ceiling. The edge S–B has capacity 6 but carries only 4: the bottleneck is downstream. When a question asks how to increase the maximum flow, the answer is always to enlarge an edge on the minimum cut — widening S–A would achieve nothing.
Start hereQCAA EnglishGeneral · Units 3–4

Two texts, one idea, and a clock.

Year 11 taught you to prove how a single text works. Year 12 raises the stakes three ways: you compare two texts on one concept, you write literature instead of only reading it, and you do the analysis against a clock in the external exam that closes the course. Four topics across QCAA Units 3 and 4.

The mapFour topics, two units

  1. Unit 3, Topic 1 — Conversations about concepts in texts. How two texts represent one shared concept; the comparative analytical essay: thesis, topic sentences, integrated evidence and comparative signposting; the IA1 essay under exam conditions.
  2. Unit 3, Topic 2 — Creative responses to literary texts. Transforming a text: a new perspective, a prequel, a shift of genre; voice and narrative choices; intertextuality as a tool; the IA2 imaginative written response.
  3. Unit 4, Topic 1 — Creative responses to a studied text. Sustained close reading of one short story: symbolism, characterisation, structure and aesthetic features; the IA3 imaginative response that grows out of that reading.
  4. Unit 4, Topic 2 — Critical responses and the external exam. The analytical essay on a studied literary text: the ten-minute plan, a thesis-driven argument, embedded evidence, evaluating how features shape meaning, timed writing, and what markers complain about.
AssessmentWhat it isWeight
IA1 — ExaminationAnalytical essay comparing two texts on a shared concept, written under exam conditions25%
IA2 — Extended responseImaginative written response transforming a literary text25%
IA3 — Extended responseImaginative written response to the studied literary text25%
External examinationAnalytical essay on a studied literary text, set and marked by the QCAA25%
The sentence that separates a B from an A in Year 12

A B-grade comparison says two texts are similar or different. An A-grade comparison says what the difference reveals: «where the first story treats the house as a body that can be healed, the second treats it as a shell already emptied — so the same flood reads as an injury in one and a verdict in the other». Comparison is not a list of matches. It is an argument about why the two writers made opposite choices.

Three habits that cost marks in Year 12

The seesaw essay — a paragraph on Text A, a paragraph on Text B, and a one-line «in conclusion they are similar» that does no comparing at all. The costume transformation — an imaginative response that changes a character’s name and nothing else, so the marker cannot see any choice being made. The unplanned exam essay — writing from the first minute, discovering the thesis in paragraph three, and running out of time before the conclusion that would have stated it.

Unit 3 · Topic 1QCAA English U3T1Conversations about concepts in texts

Conversations about concepts in texts

Put two texts on the same table and they start talking to each other. Both may be about belonging, or power, or grief — but they will not agree, and the disagreement is where your essay lives.

1.1What a concept is, and what it is not

  • A concept is an abstract idea that a text explores: identity, power, belonging, memory, freedom, justice, loss. It is not the plot, and it is not the theme statement. «Belonging» is a concept; «the story shows that belonging is fragile» is one text’s position on that concept.
  • Each text builds a representation of the concept — a version of it, made through selection, emphasis and language. Two texts on belonging construct two different belongings.
  • The conversation is the relationship between those two representations. Texts can agree, extend, complicate, or flatly contradict one another — and they do it without knowing the other text exists, which is why you have to make the conversation happen.
  • Your job in this topic is to state what each text says about the concept, prove it from the language, and then explain what the two positions together reveal that neither shows alone.
ConceptQuestions that open it upWhere the two texts might differ
IdentityIs it given, chosen, or imposed? Fixed or shifting? Seen from inside or outside?One text treats identity as something inherited; the other as something performed
PowerWho holds it, how is it exercised, and what does it cost the person who holds it?One shows power as force; the other shows it as the ability to define what counts as normal
BelongingTo a place, a group, a family, a past? What is the price of admission?One makes belonging a comfort; the other makes it a cage
MemoryReliable or reconstructed? Chosen or unavoidable? Individual or shared?One trusts memory as evidence; the other shows it rewriting itself

1.2Structuring a comparative essay

BLOCK STRUCTURE (weaker) INTEGRATED STRUCTURE (earns the marks) Introduction: concept, both texts, thesis Text A: idea 1, idea 2, idea 3 Text B is not mentioned for two pages Text B: idea 1, idea 2, idea 3 the reader has forgotten Text A by now One comparison paragraph, squeezed in late Conclusion Introduction: concept, both texts, thesis Paragraph 1 = idea 1 Text A, then Text B, then what the difference reveals Paragraph 2 = idea 2 Text A, then Text B, then what the difference reveals Paragraph 3 = idea 3 Text A, then Text B, then what the difference reveals Conclusion: what the conversation revealed Both essays contain the same material. Only the integrated one compares in every paragraph, which is what the criteria reward. Each integrated paragraph is organised by an IDEA about the concept, never by a text.
Figure 1.1 — block versus integratedThe block structure is what a nervous writer produces under exam pressure, because it feels safe: finish one text, then start the other. The integrated structure is harder to plan and far easier to mark highly, because comparison happens in every paragraph rather than in one apologetic paragraph at the end. Plan by ideas, not by texts.
  1. Thesis. One sentence that names the concept, names both texts’ positions on it, and states what the comparison reveals. It must be arguable: «both texts explore belonging» is a topic; «both texts treat belonging as something that must be paid for, but only the second admits the price can be too high» is a thesis.
  2. Topic sentences that compare. Each opens with an idea and holds both texts in one sentence: «Both writers locate belonging in a building, yet the buildings do opposite work.» A topic sentence that mentions only one text has already lost the paragraph.
  3. Integrated evidence. Short quotations from both texts, embedded, each followed by what the language does. Aim for two or three quotations per text per paragraph, not one long one.
  4. Comparative signposting. The connecting words that keep the comparison visible: similarly, likewise, both, whereas, by contrast, conversely, unlike, just as… so too. Use them at the joints where you move between texts.
  5. The reveal. End each paragraph with what the two positions together show about the concept. This is the sentence markers look for, and the one most students leave out.

1.3Textual features that carry a representation

A representation is built out of features. When you compare two texts you are really comparing the choices that built them, so you need to name those choices at the right level.

FeatureWhat to compareComparative sentence, as a model
Point of viewWho narrates, how close we are allowed, what they cannot seeWhere the first story keeps us inside the grandson’s head, the second holds the family at a distance, so belonging feels lived in one and observed in the other
SettingHow place is made to mean something; what it stands forBoth texts set belonging in a house under threat, but one house is a body and the other is a shell
Imagery and symbolThe comparisons each text reaches for, and what they smuggle inWater is an invited guest in one text and a verdict in the other
StructureOrder, framing, repetition, where the text chooses to endOne text ends at the moment of loss; the other ends a year later, which turns loss into something survivable
Tone and registerThe attitude each text takes; how formal, how ironicThe dry humour of the first refuses the grief the second insists on
Dialogue and silenceWhat characters say, what they avoid, who never speaksIn both, the people who belong least are the ones given the fewest lines
The IA1 examination: what it actually asks

You will have studied two texts in class. The paper gives you a question about a concept — not a question you have seen — and you write a comparative analytical essay under exam conditions. The marker is checking three things at once: that you know both texts well enough to quote from memory and accurately, that you organise an argument that compares in every paragraph, and that you control the analytical register — present tense, third person, precise naming of features. Prepare six to eight quotations per text that can serve more than one concept, and learn them exactly.

Signposting is not decoration

A signpost tells the reader whether the next sentence confirms or complicates what came before. Overuse makes an essay sound mechanical; absence makes it a seesaw. The test: read your paragraph and cover the signposts. If the reader can no longer tell where one text ends and the other begins, the signposts were doing real work. If nothing changes, they were padding.

Unit 3 · Topic 2QCAA English U3T2Creative responses to literary texts

Creative responses to literary texts

A transformation takes a text you have studied and makes a new one from it: the same world seen by a different pair of eyes, the story before the story, or the story moved into another form. It is the most enjoyable task in the course and the easiest to do badly.

2.1Three kinds of transformation

THE SOURCE TEXT its events, its world, its voice, its concerns, its silences same events, a new pair of eyes same world, a different time same story, a different shape SHIFT OF PERSPECTIVE a minor or silenced character narrates; what they know changes what the events mean PREQUEL OR SEQUEL what made the characters who they are, or what the ending actually cost SHIFT OF GENRE OR FORM a story becomes a monologue, a poem, a letter, a script; the new form imposes new rules Whichever arrow you follow, the source must stay recognisable: a reader who knows it should see the conversation.
Figure 2.1 — the three transformationsEach arrow keeps something and changes something. A perspective shift keeps the events; a prequel keeps the world; a form shift keeps the story. What you change is the source of meaning in your new text, so choose the change that lets you say something the original could not.
TransformationWhat it keepsWhat it changesThe question it can answer
Shift of perspectiveEvents, setting, other charactersWho narrates; what is known and what is hiddenWhat did the original refuse to show us?
PrequelThe world and the peopleThe time; nothing from the original has happened yetHow did they become the people we met?
SequelThe world and the consequencesThe time; the original’s ending is now the pastWhat did the ending actually cost?
Genre or form shiftThe core situationThe rules the text obeys — a monologue, a poem, a letter, a news reportWhat does this story look like under different rules?

2.2Voice: the choice everything else depends on

  • Voice is the personality of the narration — diction, sentence rhythm, what the narrator notices and what they refuse to say. A transformation succeeds or fails on whether the new voice is distinct from the original and consistent with itself.
  • Build a voice from three decisions: vocabulary (a fisherman and a solicitor do not reach for the same words), sentence habit (short and blunt, or long and qualifying) and attention (what this person cannot help noticing).
  • A first-person narrator gives intimacy and a limit: they can only tell what they know, and they can lie. A close third-person narrator gives you a character’s interior while keeping a narrator’s freedom to step back.
  • An unreliable narrator is not a confused one. The reader must be able to see, through the narration, what the narrator cannot — which means you plant the evidence they misread.
  • Test the voice by removing the names. If two paragraphs by two characters read the same with the names gone, you have written one voice twice.

2.3Narrative choices, deliberately made

ChoiceOptionsWhat each does
Where to beginBefore the trouble; in the middle of it; after it, looking backBeginning in the middle creates urgency; beginning after creates reflection and irony
TensePast; presentPresent tense feels immediate and denies the narrator hindsight; past tense allows the narrator to know how it ends
TimeChronological; flashback; a frame story; a single sceneA single scene concentrates meaning; a frame lets two times comment on each other
DistanceInside one head; hovering above; reporting only what can be seenDistance controls sympathy: the closer we are, the harder it is to judge
EndingResolved; open; circular (returning to the opening image)A circular ending makes the reader measure how far the character has come — or not

2.4Intertextuality as a tool, and the IA2 task

In Year 11 you identified intertextuality in other people’s writing. Now you use it. Your transformation is in conversation with the source, and the reader who knows the source should be able to hear both voices at once.

  1. Echo deliberately. Repeat an image, a phrase or a structural move from the source and change what it means. A clock that stops in the original and starts in yours is an argument, not a coincidence.
  2. Fill a silence. The character who never spoke, the year the original skipped, the room we never entered. The best transformations grow from what the source left out.
  3. Keep the concept. If the source is about belonging, your transformation should still be about belonging — approached from a position the source could not reach.
  4. Show the seams on purpose. A transformation that could be read as an unrelated story has failed the task, however good it is. The connection must be legible.
The IA2 extended response: imaginative written response

An extended piece of imaginative writing that transforms a literary text studied in class, with a short statement of intent explaining the choices you made. The criteria reward three things: that the new text engages with the source (concept, characters, world) rather than just borrowing a name; that the narrative and language choices are deliberate and consistent; and that the writing is controlled at the level of sentence, paragraph and structure. The statement of intent is where you prove the choices were choices: «I moved the story into present tense so the narrator cannot know the flood is coming, which the original narrator did.»

The costume transformation

Changing the narrator’s name and retelling the same events in the same order with the same feelings is not a transformation. A shift of perspective must change what the reader knows. If the minor character sees exactly what the original narrator saw, the marker will ask why you bothered.

Unit 4 · Topic 1QCAA English U4T1Creative responses to a studied text

Close study of one text

Unit 4 asks you to live inside a single literary text for a term: to read it until you know where every image recurs and why the writer stopped where they stopped. The story below was written for this course so that every quotation in this unit is one you can check.

3.1The studied text: The Tide Clock

An original short story, written for this site. Read it twice: once for the story, once for the choices.

The Tide Clock

i. Morning

The tide clock on Pop’s kitchen wall had stopped at High Water in the year I was born, and nobody had wound it since. «It’s right twice a day,» he said, the first time I asked, «which is more than the weather bureau.» He said it every time after that too, as if the joke were a coin he could keep spending.

I was sixteen that summer and had come to help him pack the house. The council letters had stopped asking. The jetty at the end of his street was missing every third plank now, and the ones that remained had bleached to the grey of driftwood, so that walking out on it felt like stepping along the spine of something that had died a long time ago and was only slowly admitting it.

Pop walked it anyway. Every morning, boots and no line, just to stand at the end.

ii. Noon

We packed the way people argue: politely, and around the actual point. He wrapped forty years of glassware in newspaper from the week he had stopped reading the news. I labelled boxes KITCHEN and SHED and, once, without thinking, HOME, then crossed it out so hard the pen went through.

«The water doesn’t want the house,» he said, when he saw the box. «It just doesn’t know how to want anything else.»

«That’s not how water works, Pop.»

«No,» he agreed, and taped the box shut.

The tide clock stayed on its nail. I had asked, twice, whether it went in KITCHEN. Both times he had answered a different question.

iii. Evening

On the last night the king tide came up the street the way the letters had promised, quietly and without any drama, a dark sheet sliding under the gate as if it had been invited. We watched from the verandah with our feet up on the rail. The jetty was gone entirely; only the posts stood, in a line, like the teeth of a comb.

He took the clock down then. He did not wind it. He turned it over, and on the back, in his own hand, was my mother’s name and the date I was born, and under it, in a newer ink, the date the first letter had come.

«Twice a day,» he said. «Still.»

He gave it to me. And then he went down the steps and stood in the water up to his knees, in the dark, the way he had stood at the end of the jetty every morning, and I understood that he had never once gone out there to fish.

3.2Symbolism: objects that carry the meaning

A symbol is a concrete thing in the text that stands for something larger, and the test of a symbol is that it changes. An object that means the same thing on every page is a prop; one that accumulates meaning as the story moves is doing the story’s work.

SymbolFirst appearanceWhat it becomesWhat it argues
The tide clockA stopped clock and a repeated joke, «right twice a day»A record: a birth date on the back, then the date of the first letter, then a giftTime stopped for Pop at the moment the family was whole; the clock is handed on because the record matters more than the mechanism
The jettyMissing every third plank, «the spine of something that had died»Gone; only posts «like the teeth of a comb»Loss happens gradually and then all at once; the body image turns into an object image as the living thing is finished
The waterA threat referred to only through lettersA guest: «as if it had been invited»The flood is not a villain; the story refuses melodrama, and that refusal is the point
The boxesKITCHEN and SHED, the practical labelsHOME, crossed out «so hard the pen went through»What cannot be packed is the only thing being lost; the violence of the crossing-out is the one moment of open feeling

3.3Characterisation without statement

  • The story never says Pop is grieving. It shows him walking a jetty with no fishing line, answering a different question when asked about the clock, and wrapping glass in newspaper from «the week he had stopped reading the news». Characterisation by action and evasion, not by adjective.
  • The narrator is characterised by what she notices and how she jokes: «That’s not how water works, Pop» is affection disguised as correction. Her one unguarded moment is the pen going through the cardboard, and she reports it in the same flat tone as everything else — which is how we know it matters.
  • The dialogue is short and evasive: nobody says the true thing. «No,» he agreed, and taped the box shut. The tape does the talking.
  • The relationship is built from a repeated joke. A joke told once is a joke; told every time, «as if the joke were a coin he could keep spending», it becomes a way of not saying something — and the simile tells us the currency is running out.

3.4Structure and aesthetic features

FeatureWhereWhat it does
Three-part structureMorning, Noon, EveningOne day stands for one life; the structure is a tide, rising to the flood the reader has been told to expect
Circular endingThe jetty walk in part i returns in part iiiPop standing in the water «the way he had stood at the end of the jetty» lets the narrator, and the reader, reread the whole story
Withheld informationThe mother’s name, on the back of the clockThe absence the story has been circling is named once, late, and never explained — the reader supplies the grief
UnderstatementThe flood arrives «quietly and without any drama»Refusing the expected climax makes the quiet moments — the gift, the knees in the water — carry the weight instead
Motif of repetition«Twice a day» three timesThe phrase changes meaning each time: a joke, a habit, and finally «Still» — a refusal to let the record stop
Final sentence as revelation«he had never once gone out there to fish»Recasts every morning walk as a vigil; the reader’s understanding arrives at the same instant as the narrator’s
The IA3 extended response: imaginative written response to the studied text

The task is a creative piece that grows out of your close reading — a scene the story withholds (the week the first letter came), a new perspective (Pop’s morning at the end of the jetty), a sequel (the clock on the narrator’s wall, years on). The difference from IA2 is depth: markers expect the piece to use the specific features you have studied — the understatement, the circular structure, the object that changes meaning — and the statement of intent should name them. A response to The Tide Clock that ends in melodrama has misread the text.

Unit 4 · Topic 2QCAA English U4T2Critical responses and the external exam

The analytical essay, against the clock

The external examination is one analytical essay on a literary text you have studied, written in two hours after fifteen minutes of planning time, and marked by people who have read four hundred essays on the same text. Everything in this topic is about making yours the one they are relieved to read.

4.1Reading the question

  • The question names a concept or an aspect (a character, a setting, an idea) and asks how the text represents it or what it invites the reader to think. It is never «describe». Underline the verb and the concept before anything else.
  • Most questions contain a proposition you can argue with: «The story presents loss as something that cannot be shared.» You may agree, partly agree, or disagree — but a thesis that qualifies the proposition («only until the final page») is usually stronger than one that simply accepts it.
  • The word reader will be in the question or the criteria. Your essay is about what the text does to a reader, and you must say so explicitly, not leave it implied.

4.2The plan, in ten minutes

THE EXAMINATION, MINUTE BY MINUTE (15 MIN PLANNING + 120 MIN WRITING) PLAN INTRO BODY 1 BODY 2 BODY 3 CONCL. CHECK 15 min 10 min 30 min 30 min 30 min 10 min 10 min 0 15 25 55 85 115 125 135 minutes from the start of planning time PLAN: underline the verb and the concept; write the thesis in full; list three ideas with two quotations each; decide the order. INTRO: text, writer, thesis, and the three ideas in the order they will come. Four sentences is enough. EACH BODY: topic sentence tied to the thesis; two or three embedded quotations, each explained; a closing sentence on the reader. CONCLUSION: the thesis in new words, and what the whole text finally invites the reader to understand. No new evidence. CHECK: every quotation accurate; present tense throughout; the thesis word appears in every topic sentence. If time runs short, cut the third body paragraph, never the conclusion: an essay without a conclusion has no argument.
Figure 4.1 — the two hours and a quarterThe fifteen minutes of planning time are the highest-value minutes in the paper: nothing you write on the answer sheet in the first ten minutes of writing time will be as useful as a thesis and three ordered ideas written on the planning page. Students who plan finish; students who start writing at minute zero discover their argument in paragraph three and run out of time before the conclusion that would have stated it.
  1. Minute 0–2: the question. Circle the concept and the verb. Rewrite the question as a claim you can argue with.
  2. Minute 2–5: the thesis. Write it in full, as a sentence, on the planning page. If it could be true of any text, it is not a thesis yet.
  3. Minute 5–9: three ideas, six quotations. Each idea is a way the text builds the representation named in your thesis: one symbol, one structural choice, one feature of voice or characterisation. Under each, two quotations from memory.
  4. Minute 9–10: the order. Strongest idea last. Draw arrows. Then use the remaining planning time to sharpen the thesis wording.

4.3A model paragraph, annotated

The question: «In The Tide Clock, loss is represented as something that cannot be spoken. Discuss.» The thesis: the story represents loss as unspeakable only until its final page, where an object and an action say what no character could. Here is the second body paragraph, sentence by sentence.

SentenceIts job
The story’s refusal to speak loss aloud is built most clearly into its dialogue, which is shaped so that every true statement is deflected.Topic sentence. Names the idea (dialogue), holds the thesis word (loss), and makes a claim the paragraph must prove.
When the narrator asks about the tide clock, Pop «answered a different question», and the narration reports the evasion twice without comment, so that the reader learns the family’s grammar of avoidance faster than the narrator admits to.Evidence and explanation. Short embedded quotation; the technique (reported evasion, withheld comment) is shown rather than announced; the effect on the reader is stated.
The one exchange that approaches the subject, «The water doesn’t want the house», is immediately corrected by the narrator’s «That’s not how water works, Pop», a rebuke that is really tenderness, and Pop’s «No» closes the conversation as firmly as he «taped the box shut».Second piece of evidence, developed. Two quotations in one sentence, the register of the exchange named (rebuke as tenderness), and the physical action read as a metaphor for the silence.
The writer positions the reader to hear loss in the gaps between lines rather than in the lines themselves, which is precisely why the final page, where the clock is handed over without a word, can carry so much.Link. Returns to the thesis (unspeakable until the end), names the reader, and sets up the next paragraph.
Evaluating, not just explaining

The highest band asks you to evaluate how features shape meaning — to judge, not only describe. Evaluation sounds like this: «the understatement is the story’s most effective choice, because a flood that arrived with drama would let the reader feel the loss on the story’s behalf; its quietness makes the reader do the feeling.» The signal words are most effective, most significant, more than, precisely because. Use them where you mean them.

4.4The marking criteria, in plain words

CriterionWhat the marker is looking forWhat the top band looks like
Knowledge applicationHow well you know the text and use that knowledge: accurate, well-chosen evidence; understanding of how features build representations; awareness of the readerQuotations are exact, brief and chosen because they prove the point; the analysis explains how a feature works, and evaluates its effect; the reader’s position is named
Organisation and developmentWhether the essay is an argument: a thesis, paragraphs that each prove part of it, in an order that builds, with an introduction and conclusion that frame itThe thesis is arguable and answers the question directly; every topic sentence carries it forward; the conclusion adds a final understanding rather than repeating
Textual featuresControl of the analytical essay as a genre: present tense, third person, precise terminology, embedded quotation, sentence variety, accurate spelling and punctuationThe register never slips into narrative or opinion; terms are used exactly; quotations sit grammatically inside sentences; the writing is fluent enough to disappear

4.5What markers complain about

ComplaintWhat it looks likeThe fix
Answering a different questionA prepared essay on symbolism, whatever the paper askedThe concept in the question appears in the thesis and in every topic sentence
Retelling«Then Pop takes the clock down and gives it to her.»Every mention of an event is followed by what the choice does to the reader
Feature spotting«The writer uses a simile. This creates imagery.»Name the feature, quote it, explain its effect, evaluate its importance — four moves, not two
The floating quotationA sentence that is nothing but a quotationEmbed it: the quotation is a phrase inside your own sentence
The disappearing readerAn essay that never says who is being positioned, or how«The reader is positioned to…» at least once per paragraph, and meant each time
Tense drift«Pop walked the jetty and the narrator realises…»The analytical present, everywhere: the story opens, Pop walks, the writer withholds
The missing conclusionThe essay stops at the end of body paragraph threePlan the time; if it runs short, cut a body paragraph rather than the conclusion
Start hereQCAA Modern HistoryGeneral · Units 3–4

How a democracy died, and how a world stayed at the brink.

Unit 3 follows one nation — Germany — from the collapse of 1918 through a fragile republic into dictatorship, genocide and ruin. Unit 4 follows the whole world through the forty-six years in which two superpowers armed for a war they never quite fought. Both units are examined through sources, so the historian's toolkit from Year 11 runs through everything here.

The mapUnits 3 and 4, four topics

  1. Unit 3, Topic 1 — Weimar Germany, 1918–1933. Defeat and Versailles, a constitution with a trapdoor in it, the year everything broke (1923), the Stresemann recovery, and the Depression that carried the Nazis from twelve seats to the Chancellery.
  2. Unit 3, Topic 2 — The Nazi dictatorship, 1933–1945. Eighteen months of consolidation, the police state, propaganda, economy and society, the persecution of the Jews to the Holocaust, and war to the collapse of May 1945.
  3. Unit 4, Topic 1 — The Cold War: origins and early crises, 1945–1962. Yalta and Potsdam, containment, the Berlin blockade, two alliances, Korea, the arms race, the Wall and thirteen days over Cuba.
  4. Unit 4, Topic 2 — From détente to the end, 1962–1991. Vietnam, détente and SALT, Afghanistan, Reagan and Gorbachev, glasnost and perestroika, 1989, and the dissolution of the Soviet Union — plus the source-analysis toolkit for the external exam.
How Year 12 Modern History is assessed (QCAA General)

IA1 — examination: essay in response to historical sources (25 %), on Unit 3. IA2 — independent source investigation (25 %): you choose a question, find and evaluate sources, and write it up. IA3 — investigation: historical essay based on research (25 %), on Unit 4. External examination — short responses to historical sources (25 %), on Unit 4 Topic 2 only. Every one of the four asks you to do the same thing: read a source with its provenance in mind and build a judgement from it.

Dates are evidence

"The Nazis came to power because of the Depression" is a claim. "The NSDAP held 12 seats in May 1928, 107 in September 1930 after unemployment passed three million, and 230 in July 1932 when it passed six million" is an argument. Every topic below gives you the specific numbers and dates for exactly this reason. Where historians genuinely disagree — casualty totals, how much choice Hindenburg had, who started the Cold War — the text says so, because that contestability is itself examinable.

Unit 3 · Topic 1Germany since 1914Weimar Germany, 1918–1933

Weimar Germany: a republic nobody had asked for

Germany's first democracy was born in defeat, blamed for a peace it had not negotiated, wrecked by inflation in its fifth year, rebuilt on American loans, and then hit by the worst depression in modern history. It lasted fourteen years. The question the topic asks is not whether it was doomed — it was not — but why, at each turn, the people who could have saved it chose not to.

1.1Defeat and the birth of the Republic, 1918–1919

Portrait of Paul von Hindenburg
Paul von Hindenburg1847–1934

By the autumn of 1918 the German army was being driven back on the Western Front and its generals, Hindenburg and Ludendorff, told the Kaiser the war was lost. Sailors at Kiel mutinied on 3 November 1918 rather than sail on a suicide mission; workers' and soldiers' councils spread across the country within days. On 9 November 1918 Kaiser Wilhelm II abdicated and fled to the Netherlands, and the Social Democrat Philipp Scheidemann proclaimed a republic from a balcony of the Reichstag. Friedrich Ebert, leader of the Social Democratic Party (SPD), became head of the provisional government. The armistice was signed on 11 November 1918.

  • The Ebert–Groener pact (10 November 1918): the army agreed to support the new government against revolution, and the government agreed to leave the army's officer corps untouched. The Republic thus depended from its first day on an army that did not believe in it.
  • The Spartacist uprising, Berlin, January 1919: a communist rising crushed by the army and the Freikorps (volunteer units of demobilised soldiers). Its leaders, Karl Liebknecht and Rosa Luxemburg, were murdered on 15 January 1919. The left never forgave the SPD; the right learned that political murder went unpunished.
  • The "stab in the back" (Dolchstoss). Because the army was still on French and Belgian soil when it stopped, and because the generals let civilians sign the armistice, nationalists claimed Germany had been betrayed at home by socialists and Jews — the "November criminals" — rather than beaten in the field. The myth was false and enormously effective.
  • Elections to a National Assembly were held on 19 January 1919; it met in the quiet town of Weimar because Berlin was unsafe, which gave the Republic its name.

1.2The Treaty of Versailles, 28 June 1919

Germany was not invited to negotiate. Its delegates were handed the terms in May 1919 and told to sign or face invasion; the National Assembly accepted on 23 June and the treaty was signed in the Hall of Mirrors at Versailles on 28 June 1919 — five years to the day after the assassination at Sarajevo.

CategoryTermsWhy Germans called it the Diktat
TerritoryAlsace-Lorraine to France; the Saar under League of Nations control for 15 years; the "Polish Corridor" to the new Poland, cutting East Prussia off from the rest of Germany; Danzig a free city; all overseas colonies taken; union with Austria forbiddenAbout 13 per cent of pre-war territory and roughly a tenth of the population were lost; millions of Germans now lived under foreign rule
MilitaryArmy capped at 100,000 men, no conscription, no tanks, no air force, no submarines, navy limited to six battleships; the Rhineland demilitarised and occupied by Allied troops for up to 15 yearsA great power left, in its own eyes, defenceless
GuiltArticle 231: Germany and its allies accepted responsibility for causing all the loss and damage of the warThe "war guilt clause" — the single most hated line, because it was the legal basis for what followed
ReparationsFixed in 1921 at 132 billion gold marks (about £6.6 billion), payable in cash and in goods such as coalA sum widely believed, then and since, to be beyond Germany's capacity — though historians dispute how far it really was
The treaty's real damage was political

Germany recovered economically by 1928 and could have paid. What Versailles did that could not be undone was to attach the new democracy to a national humiliation. Every party of the right ran against the "November criminals" who signed it; even moderates wanted it revised. Notice who benefited from that resentment in 1930–33.

1.3The Weimar constitution and its weaknesses

Adopted on 31 July 1919 and in force from August 1919, the constitution was among the most democratic in the world: all men and women over 20 could vote, there was a bill of rights, and the Reichstag was elected by proportional representation. A President, directly elected for seven years, appointed the Chancellor and commanded the armed forces.

FeatureIntended toIn practice
Proportional representationGive every party a fair share of seatsProduced a Reichstag of many parties and no majorities: every Weimar government was a coalition, and there were 20 cabinets in 14 years
Article 48Let the President act by emergency decree if public order were threatenedBecame the routine way to govern once coalitions failed: from 1930 Chancellors ruled by decree with the President's signature, and the Reichstag was bypassed years before Hitler abolished it
Continuity of the stateKeep the country running through the revolutionThe army, judges, civil servants and professors of the Empire stayed in office — and most of them despised the Republic. Right-wing political murderers received light sentences; left-wing ones were shot
The PresidentProvide a stable head of state above partyFrom 1925 the office was held by Paul von Hindenburg, the wartime field marshal, aged 77 on election — a monarchist who never liked the system he presided over

The Kapp Putsch of March 1920, when Freikorps units seized Berlin and the army refused to fire on them, showed both weaknesses at once: the state could not rely on its own soldiers, and it was saved only by a general strike of Berlin's workers.

1.41923: the year everything broke

  1. The Ruhr occupation. When Germany fell behind on reparations deliveries, French and Belgian troops occupied the industrial Ruhr on 11 January 1923 to take coal and goods directly. The government called for passive resistance — workers downed tools — and paid their wages by printing money.
  2. Hyperinflation. The mark, already weak since the war, collapsed. A US dollar bought about 4.2 marks in 1914 and about 4.2 trillion marks in November 1923. Wages were paid twice a day and spent within the hour; savings, pensions and war bonds were wiped out. The middle class that lost everything in 1923 remembered who had been in charge.
  3. The Munich (Beer Hall) Putsch, 8–9 November 1923. Adolf Hitler, leader of the small Nazi Party (NSDAP), tried to seize power in Bavaria as the first step to marching on Berlin. Police fired on the marchers; sixteen Nazis died. Hitler was tried for treason, used the trial as a platform, and served about nine months of a five-year sentence, during which he dictated Mein Kampf. Lesson learned: power would have to be taken legally.

1.5The Stresemann years, 1924–1929

Portrait of Gustav Stresemann
Gustav Stresemann1878–1929

Gustav Stresemann was Chancellor for only a hundred days (August to November 1923) but Foreign Minister continuously from 1923 until his death on 3 October 1929. His policy was fulfilment: cooperate with the Allies, restore Germany's credit, and get the treaty revised by negotiation rather than defiance.

DateMeasureEffect
Nov 1923The RentenmarkA new currency, backed by land and industry, ended the hyperinflation within weeks; passive resistance in the Ruhr was called off
1924The Dawes PlanReparations rescheduled and an American loan of 800 million marks arranged; the French left the Ruhr in 1925. US capital then poured in — the recovery was built on short-term American loans
1925The Locarno treatiesGermany accepted its western borders with France and Belgium (not its eastern ones); Stresemann shared the Nobel Peace Prize
1926Germany joins the League of NationsBack among the great powers, with a permanent seat on the Council
1929The Young PlanReparations cut and the payment period extended to 1988; Allied troops to leave the Rhineland in 1930, five years early. Nationalists ran a furious campaign against it, which gave Hitler national publicity

The "golden years" were real: industrial output passed its 1913 level, Berlin became the cultural capital of Europe, and the Nazis won only 12 seats (2.6 per cent) in the election of May 1928. But Stresemann himself warned that Germany was "dancing on a volcano": the prosperity rested on loans that could be recalled.

1.6The Depression and the rise of the NSDAP

The Wall Street Crash of October 1929 recalled the loans. German banks failed, exports collapsed and factories closed. Registered unemployment rose from about 1.3 million in 1929 to more than three million by 1930 and about six million by early 1932 — roughly one worker in three, with millions more on short time.

NSDAP SEATS IN THE REICHSTAG, 1928–1933 12 seats 107 seats 230 seats 196 seats 288 seats May 1928 Sept 1930 July 1932 Nov 1932 March 1933 2.6% of the vote 18.3% 37.3%largest party 33.1%down 2 million 43.9%after the Reichstag Fire bar height is proportional to seats; the Reichstag itself varied between 491 and 647 members, so the NSDAP never held a majority
Figure 1.1 — the Nazi vote tracks unemployment, then stallsThe jump from 12 to 107 seats in 1930 came within a year of the Crash; 230 in July 1932 was the peak of the Depression. Then note November 1932: the Nazi vote fell by two million as the economy began to recover and the party ran out of money. Hitler did not win power at the ballot box — he never passed 37.3 per cent in a free election — he was handed it.
  • Why the Nazis, and not the communists? The KPD also grew (100 seats by November 1932), and its growth terrified the middle classes, businessmen and farmers — who turned to the one party promising to crush it. The NSDAP was a Volkspartei, a catch-all party: it promised work to the unemployed, order to the frightened, revenge for Versailles to the nationalists, and offered Hitler as the man above all of them.
  • Method. Joseph Goebbels ran the most modern campaigns in Europe: aircraft tours ("Hitler over Germany", 1932), mass rallies, posters targeted at particular groups, and the SA (Stormtroopers), about 400,000 strong by 1932, fighting the communists in the streets and making order look like a Nazi promise.
  • Government by decree. The last SPD-led coalition collapsed in March 1930. Chancellor Heinrich Brüning (1930–32) governed by Article 48 decrees that cut wages, benefits and prices, deepening the slump; parliamentary democracy was already suspended in practice. In the presidential election of April 1932 Hindenburg beat Hitler 53 per cent to 36.8.

1.730 January 1933: how Hitler was appointed

Portrait of Adolf Hitler
Adolf Hitler1889–1945

After the July 1932 election Hitler demanded the Chancellorship and Hindenburg refused, disliking the "Bohemian corporal". Two Chancellors without majorities followed: Franz von Papen (June–November 1932) and General Kurt von Schleicher (December 1932–January 1933). Papen, wanting revenge on Schleicher, persuaded Hindenburg that Hitler could be appointed Chancellor and controlled: Hitler would have only two other Nazis in a cabinet of twelve, and Papen would be Vice-Chancellor. "Within two months," Papen is reported to have said, "we will have pushed Hitler so far into a corner that he'll squeak." Hindenburg appointed Hitler Chancellor on 30 January 1933.

The essay question that always comes: why did Weimar fail?

Build the argument in layers, each with a date. Long-term: a republic associated with defeat and Versailles, a constitution that let the Reichstag be bypassed (Article 48), and an army, judiciary and civil service that never accepted it. Medium-term: 1923 destroyed the savings and the loyalty of the middle class; recovery after 1924 was built on American loans. Short-term: the Depression from October 1929 — six million unemployed, government by decree from 1930, a Nazi vote of 37 per cent by July 1932. Immediate: the intrigues of Papen and the decision of Hindenburg in January 1933. Then the contestable bit: historians such as Kershaw stress that Hitler's appointment was a choice made by a small conservative elite, not an inevitability — the Nazi vote was already falling.

9 Nov 1918 Aug 1919 Nov 1923 Oct 1929 the Kaiser abdicates; the Republic is proclaimed the Weimar constitution comes into force hyperinflation peaks; the Munich Putsch fails the Wall Street Crash; Stresemann has just died 28 June 1919 Jan 1923 1924–1929 30 Jan 1933 the Treaty of Versailles is signed French and Belgian troops occupy the Ruhr the Stresemann years: Dawes Plan, Locarno Hitler is appointed Chancellor by Hindenburg The eight ticks are in chronological order; the spacing between them is even, not to scale.
Figure 1.2 — Weimar Germany, 1918 to 1933Two crises frame a recovery: 1919–23 (defeat, treaty, inflation, putsch) and 1929–33 (crash, unemployment, decree, appointment), with the Stresemann years between. An essay on why the Republic fell should be able to walk this line and say what each tick contributed.
Unit 3 · Topic 2Germany since 1914The Nazi dictatorship, 1933–1945

The Nazi dictatorship: from Chancellor to Führer to ruin

Hitler took office with a minority cabinet and a President who could dismiss him. Eighteen months later there was no opposition, no free press, no independent courts and no President. How that was done — largely with the appearance of legality — and what the regime then did with total power, are the two halves of this topic.

2.1Consolidating power, 1933–1934

DateStepWhat it removed
27 Feb 1933The Reichstag Fire. The parliament building burned; a young Dutch communist, Marinus van der Lubbe, was found inside. The Nazis declared it the signal for a communist uprisingThe next day Hindenburg signed the Reichstag Fire Decree suspending freedom of speech, press, assembly and protection from arbitrary arrest — "for the protection of people and state". It was never revoked. Some 4,000 communists were arrested within days
5 Mar 1933The last multi-party election, held under intimidationThe NSDAP won 43.9 per cent, still short of a majority; with its Nationalist allies it had one
23 Mar 1933The Enabling Act, passed 444 votes to 94 with SA men lining the chamber, the 81 communist deputies excluded and the Centre Party persuaded to vote yes. Only the SPD voted againstThe government could make laws without the Reichstag or the President for four years. Every later measure rested on it
Apr–July 1933Gleichschaltung ("coordination"): state governments replaced by Nazi governors; trade unions abolished on 2 May and replaced by the German Labour Front; the SPD banned in June; on 14 July the NSDAP declared the only legal partyEvery independent organisation between the individual and the state
30 June 1934The Night of the Long Knives. The SS murdered the leadership of the SA, including its chief Ernst Röhm, along with conservative rivals such as General von Schleicher. At least 85 were killed; estimates run higherThe SA's threat of a "second revolution" that alarmed the army and big business. The army, whose support Hitler needed, thanked him
2 Aug 1934Hindenburg died. Hitler merged the offices of President and Chancellor as Führer; every soldier swore a personal oath of loyalty to himThe last person who could legally have dismissed him. A plebiscite approved the change with about 90 per cent

The pattern to name in an essay: a crisis (real or manufactured), an emergency law that looked legal, then the removal of one more check. Hindenburg's signature, the Centre Party's vote and the army's relief were each given freely. Terror was present throughout — the first concentration camp opened at Dachau in March 1933 — but so was consent.

2.2The police state

  • The SS (Schutzstaffel), under Heinrich Himmler, grew from Hitler's bodyguard into a state within the state: it ran the concentration camps, the security police, and eventually the machinery of genocide. Himmler became chief of all German police in 1936.
  • The Gestapo (secret state police) had the power to arrest and hold anyone in "protective custody" without trial. It was surprisingly small — historians such as Robert Gellately have shown that most of its cases began with denunciations by ordinary Germans. Fear, not numbers, did the work.
  • The SD (security service) reported on public opinion; the People's Court (from 1934) tried political offences with no appeal.
  • Concentration camps held communists, socialists, trade unionists, Jehovah's Witnesses, homosexual men, "asocials" and, after 1938, Jews in large numbers. They were places of terror and forced labour; the purpose-built extermination camps of 1941–42 were a different and later thing (section 2.5).

2.3Propaganda and culture

Joseph Goebbels became Minister of Public Enlightenment and Propaganda on 13 March 1933. His aim was not merely to silence opposition but to make the nation want what the regime wanted.

MediumMethod
RadioCheap "People's Receivers" (Volksempfänger) put a set in most homes by 1939; loudspeakers in factories and squares carried Hitler's speeches; listening to foreign stations became a crime in wartime
Press and booksEditors licensed by the state and told daily what to print; student-led book burnings on 10 May 1933 destroyed works by Jewish, socialist and "un-German" authors
Film and spectacleThe Nuremberg rallies each September, filmed by Leni Riefenstahl (Triumph of the Will, 1935); the Berlin Olympics of 1936 presented a peaceful, modern Germany to the world while anti-Jewish signs were temporarily taken down
The artsThe Reich Chamber of Culture controlled who could work; modern art was exhibited as "degenerate" in 1937 and then removed from galleries
The Führer mythHitler was presented as above politics, the embodiment of the nation; Ian Kershaw's argument is that this myth was the regime's single most effective source of consent

2.4Economy and society

  • Unemployment fell from about six million in early 1933 to well under one million by 1938: public works (the Autobahn network), the compulsory Reich Labour Service, conscription from 1935, and above all rearmament. Women and Jews pushed out of jobs were not counted. The recovery was real, and it was the regime's most popular achievement.
  • The Four Year Plan of 1936 under Hermann Göring aimed at autarky — self-sufficiency in food and raw materials — and an army ready for war within four years. Synthetic fuel and rubber were subsidised; consumer goods were not.
  • Workers lost their unions and the right to strike but gained the German Labour Front's Strength Through Joy (Kraft durch Freude) programme of cheap holidays, concerts and the promised Volkswagen (nobody who paid in received one before the war). Real wages roughly reached 1929 levels by 1938.
  • Women were to serve the nation as mothers: marriage loans from 1933 (a quarter written off for each child), the Mother's Cross from 1939, and exclusion from professions — a policy quietly reversed when the war needed their labour.
  • Youth. The Hitler Youth and League of German Maidens became the only permitted youth organisations in 1936 and compulsory in 1939; schools taught race theory and rewrote history. Some teenagers rebelled — the Edelweiss Pirates and the Swing Youth — and were punished.
  • The churches. A Concordat with the Vatican in July 1933 promised the Catholic Church freedom in return for staying out of politics; the promise was broken. Protestant pastors who resisted Nazification formed the Confessing Church; Martin Niemöller spent 1938–45 in camps.
  • The whole was called the Volksgemeinschaft, the "people's community": a nation without class divisions — and without anyone the regime defined as outside it.

2.5The persecution of the Jews, and the Holocaust

Antisemitism was central to Nazi ideology from the start. Germany's roughly 500,000 Jews (under one per cent of the population) were made scapegoats for defeat, inflation and depression. Persecution escalated in stages, each testing what the public and the world would tolerate.

DateMeasure
1 Apr 1933A one-day national boycott of Jewish shops, doctors and lawyers, enforced by the SA
7 Apr 1933Jews dismissed from the civil service, and soon from universities, the courts and the press
15 Sept 1935The Nuremberg Laws. The Reich Citizenship Law made Jews "subjects" without political rights; the Law for the Protection of German Blood forbade marriage or sexual relations between Jews and "Aryans". Later decrees defined a Jew by grandparents, not belief
9–10 Nov 1938Kristallnacht ("the night of broken glass"): after a German diplomat was shot in Paris by a Jewish teenager, the SA and party members burned hundreds of synagogues, smashed some 7,500 Jewish businesses, killed about 91 people and sent about 30,000 Jewish men to concentration camps. The Jewish community was then fined a billion marks for the damage
1939–41Emigration was encouraged and then, in October 1941, banned; about half of Germany's Jews had left. After the conquest of Poland in 1939, Jews there were forced into ghettos (Warsaw, Łódź) where tens of thousands died of hunger and disease
from 22 June 1941With the invasion of the Soviet Union, Einsatzgruppen (SS mobile killing squads) followed the army and shot Jews, Roma and communists in mass graves — more than a million people, including about 33,000 at Babi Yar near Kyiv in two days of September 1941
20 Jan 1942The Wannsee Conference, chaired by Reinhard Heydrich, coordinated the "Final Solution": the deportation of all of Europe's Jews to the East to be worked or gassed to death. The decision had already been taken; Wannsee organised the ministries
1942–45The extermination camps in occupied Poland — Chełmno, Bełżec, Sobibór, Treblinka, Majdanek and Auschwitz-Birkenau — murdered people in gas chambers on arrival. About six million Jews were killed in the Holocaust, along with hundreds of thousands of Roma and Sinti, about 70,000 disabled Germans in the earlier "T4" programme, Soviet prisoners of war, political prisoners and others
Language and precision

The Holocaust is the systematic, state-organised murder of European Jews between 1941 and 1945; the persecution of 1933–39 led to it but was not yet it. Do not write "the Nazis killed six million people in concentration camps": most victims died in purpose-built extermination camps or by shooting, and the total of all victims of Nazi mass murder is far higher than six million. Historians still debate when the decision for total extermination was taken (summer to autumn 1941 is the usual range) and how much was ordered from above versus improvised by officials on the spot — the "intentionalist" and "functionalist" readings. Name that debate when a source question invites it.

2.6War, resistance and collapse

30 Jan 1933 23 Mar 1933 15 Sept 1935 1 Sept 1939 8 May 1945 Hitler is appointed Chancellor the Enabling Act passes 444 to 94 the Nuremberg Laws strip Jews of citizenship Germany invades Poland; the Second World War unconditional surrender; Hitler dead since 30 April 27 Feb 1933 30 June 1934 9–10 Nov 1938 20 Jan 1942 the Reichstag Fire; emergency decree next day Night of the Long Knives: the SA leadership killed Kristallnacht: synagogues burned, 30 000 arrested the Wannsee Conference coordinates the genocide The nine ticks are in chronological order; the spacing between them is even, not to scale.
Figure 2.1 — the dictatorship, 1933 to 1945The first four ticks fall inside eighteen months: that is how fast a democracy can be dismantled by a government that controls the emergency powers. The persecution ticks (1935, 1938, 1942) escalate in step with the regime's confidence abroad — each came after a foreign-policy success made the world's reaction seem not to matter.
  • Foreign policy reversed Versailles step by step, each step unopposed: conscription and an air force announced (1935), the Rhineland remilitarised (March 1936), Austria annexed (March 1938), the Sudetenland ceded at Munich (September 1938), the rest of Czechoslovakia seized (March 1939), the Nazi–Soviet Pact (23 August 1939), and the invasion of Poland on 1 September 1939, which brought Britain and France into war.
  • Turning point. The invasion of the Soviet Union on 22 June 1941 and the surrender of the Sixth Army at Stalingrad on 2 February 1943 turned a war of conquest into one of survival. Goebbels' "total war" speech of 18 February 1943 mobilised the whole population; Allied bombing destroyed German cities from 1943.
  • Resistance was small and brave: the White Rose students in Munich, whose leaders Hans and Sophie Scholl were executed on 22 February 1943; the Kreisau Circle; and the army officers' bomb plot of 20 July 1944, after which about 5,000 people were executed. There was no popular uprising.
  • Collapse. With Soviet troops in Berlin, Hitler killed himself on 30 April 1945. Germany surrendered unconditionally on 8 May 1945, occupied by the four Allied powers, its cities in ruins, having caused a war in which tens of millions died. Unit 4 begins in that rubble.
Unit 4 · Topic 1The Cold WarOrigins and early crises, 1945–1962

The Cold War, 1945–1962: from alliance to the brink

In 1945 the United States and the Soviet Union were allies who had just destroyed Hitler together. Within three years they were building rival blocs across a divided Europe; within five, fighting each other by proxy in Korea; within seventeen, thirteen days from nuclear war. The topic asks how, and — the contestable part — whose fault it was.

3.1Yalta, Potsdam and the breakdown of the alliance

 Yalta, 4–11 February 1945Potsdam, 17 July–2 August 1945
Who
Portrait of Franklin D. Roosevelt
Franklin D. Roosevelt1882–1945
Portrait of Winston Churchill
Winston Churchill1874–1965
Portrait of Joseph Stalin
Joseph Stalin1878–1953
Roosevelt, Churchill, Stalin — with Germany not yet beaten
Portrait of Harry S. Truman
Harry S. Truman1884–1972
Portrait of Clement Attlee
Clement Attlee1883–1967
Truman (Roosevelt died 12 April), Stalin, and Churchill replaced mid-conference by Attlee after losing the British election
AgreedGermany and Berlin to be divided into four occupation zones; free elections promised in liberated Europe (the Declaration on Liberated Europe); the USSR to join the war against Japan; the United Nations to be foundedThe zones confirmed; Germany to be demilitarised, denazified, democratised; reparations taken mainly from each power's own zone; Poland's border moved west to the Oder–Neisse rivers
DisputedPoland: Stalin's installed government versus the exiled one in London. The West accepted a promise of elections that were never freely heldTruman told Stalin of a "new weapon" — the atomic bomb tested on 16 July; Stalin, who knew from spies, shrugged. Hiroshima followed on 6 August
  • By 1947 Soviet-backed communist governments controlled Poland, Romania, Bulgaria and Hungary; Czechoslovakia's elected government fell to a communist coup in February 1948. Stalin saw a belt of friendly states as the minimum security for a country that had lost some 27 million people to a German invasion; the West saw an empire.
  • George Kennan's Long Telegram (22 February 1946) argued the USSR was expansionist and could only be met by firm resistance; Churchill's "Iron Curtain" speech at Fulton, Missouri (5 March 1946) said the same in public.
Who started it? Three schools, and you should know them

Orthodox (1950s): Soviet expansionism caused the Cold War; the West reacted. Revisionist (1960s–70s, e.g. William Appleman Williams): American economic ambition and the atomic monopoly threatened a Soviet Union that was acting defensively. Post-revisionist (from the 1970s, John Lewis Gaddis): mutual misunderstanding and the security dilemma — each side's defensive moves looked offensive to the other. After the Soviet archives opened in 1991, Gaddis and others moved back toward stressing Stalin's own role. A source question that asks "how useful is this source for explaining the origins of the Cold War" is inviting you to place it in one of these camps.

3.2Containment: the Truman Doctrine and the Marshall Plan

  • Containment was Kennan's word: do not try to roll communism back, but hold it where it is until the Soviet system decays. It was American policy for the next forty years.
  • The Truman Doctrine, 12 March 1947. Britain could no longer afford to support Greece (fighting a communist insurgency) and Turkey. Truman asked Congress for $400 million and declared that the United States would "support free peoples who are resisting attempted subjugation by armed minorities or by outside pressures". It committed America to a global struggle.
  • The Marshall Plan, announced 5 June 1947. Secretary of State George Marshall offered aid to rebuild all of Europe; about $13 billion went to sixteen Western countries between 1948 and 1952. Stalin forbade the Eastern bloc to accept, and answered with Cominform (September 1947) to coordinate communist parties. The plan was economic, but its logic was political: hungry people vote communist.

3.3Germany and Berlin: blockade, two states, two alliances

Figure 3.3 — the divided continentBerlin appears three times, Prague twice: the frontier of the Cold War ran through the middle of Europe, and every crisis before Cuba happened on it.
GERMANY AND BERLIN DIVIDED, 1945 schematic, not to scale — zones agreed at Yalta and Potsdam Germany — four occupation zones British zone the north-west, Ruhr, Hamburg French zone south-west American zone the south: Bavaria zone boundaries (1945) Soviet zone east: the GDR from 1949 Berlin Berlin, enlarged inner German border from 1949 (west | east) Berlin — four sectors French sector West Berlin British sector American sector Soviet sector East Berlin the Berlin Wall, 13 Aug 1961
Figure 3.1 — why Berlin was the Cold War's pressure pointThe city was 160 km inside the Soviet zone, reachable from the West only by agreed road, rail and air corridors. That geography made it possible for Stalin to squeeze it in 1948, for Khrushchev to threaten it in 1958 and wall it in 1961, and for two and a half million East Germans to escape through it in between.
  1. The Berlin blockade, 24 June 1948 – 12 May 1949. When the Western powers introduced a new currency in their zones, Stalin cut every road, rail and canal link to West Berlin, expecting the West to withdraw. Instead the Berlin airlift flew in food and coal for eleven months — about 2.3 million tonnes on more than 270,000 flights. Stalin lifted the blockade; the West had won without firing a shot, and Germany's division was sealed.
  2. Two Germanies. The Federal Republic of Germany (West Germany) was founded on 23 May 1949; the German Democratic Republic (East Germany) on 7 October 1949.
  3. Two alliances. NATO was founded on 4 April 1949: an attack on one member would be treated as an attack on all. West Germany was admitted in May 1955, and the Soviet Union answered within days with the Warsaw Pact (14 May 1955) binding its Eastern European satellites. Europe now had two armed camps facing each other along the inner German border.

3.4Korea, 1950–1953

Figure 3.4 — Korea, 1950 to 1953Follow the front up and down the peninsula: to Pusan, back to the Yalu, back to the middle. Containment held, at a cost that made both superpowers wary of fighting each other directly.

Korea had been divided at the 38th parallel in 1945 between a Soviet-backed North and an American-backed South. On 25 June 1950 North Korean forces invaded the South. Because the Soviet delegate was boycotting the UN Security Council, the United Nations authorised a force, overwhelmingly American, under General MacArthur. It drove the North Koreans back almost to the Chinese border; in October 1950 China entered the war with hundreds of thousands of troops and pushed the UN forces south again. Truman sacked MacArthur in April 1951 for demanding the war be widened into China. The front settled near the 38th parallel and an armistice was signed on 27 July 1953. About three million people died, most of them Korean civilians; the border stands where it was.

  • Korea turned containment from a European policy into a global and military one: American defence spending tripled under the plan known as NSC-68, and the US built alliances across Asia and the Pacific — including ANZUS with Australia and New Zealand in 1951.
  • It set the pattern for proxy war: superpowers fighting through and beside smaller states, never directly.

3.5The arms race

DateDevelopmentSignificance
6 & 9 Aug 1945Atomic bombs on Hiroshima and NagasakiThe American monopoly begins
29 Aug 1949First Soviet atomic testThe monopoly ends years earlier than Washington expected, helped by espionage
1952–53Hydrogen bombs: US November 1952, USSR August 1953Weapons hundreds of times more powerful than Hiroshima
4 Oct 1957Sputnik, the first artificial satelliteThe rocket that launched it could carry a warhead to America: the intercontinental ballistic missile era, and a panic about a "missile gap"
1960sSubmarine-launched missiles; thousands of warheads on each sideMutually assured destruction (MAD): neither side could strike first without being destroyed in return — a deterrent that depended on both sides staying rational

Stalin died on 5 March 1953. His successor Nikita Khrushchev denounced his crimes in 1956 and spoke of "peaceful coexistence" — but also crushed the Hungarian uprising in November 1956 with tanks, killing about 2,500 Hungarians, and the West did nothing. Containment cut both ways: each side accepted the other's sphere.

3.6The Berlin Wall and the Cuban Missile Crisis

Portrait of Nikita Khrushchev
Nikita Khrushchev1894–1971
Portrait of John F. Kennedy
John F. Kennedy1917–1963
  • 13 August 1961. With East Germany losing skilled workers through West Berlin at the rate of thousands a week, the East German government, with Khrushchev's approval, sealed the border overnight with barbed wire, then concrete. The Berlin Wall stood for 28 years; at least 140 people died trying to cross it. Kennedy's private reaction: a wall was better than a war.
  • Cuba. Fidel Castro's revolution (January 1959) turned toward Moscow after the failed CIA-backed invasion at the Bay of Pigs in April 1961. In 1962 Khrushchev secretly began installing nuclear missiles on the island, ninety miles from Florida.
  • The Cuban Missile Crisis, 16–28 October 1962. An American U-2 spy plane photographed the launch sites on 14 October. Kennedy rejected an air strike, announced a naval "quarantine" of Cuba on 22 October, and Soviet ships turned back. On 28 October Khrushchev agreed to remove the missiles in exchange for a public American pledge not to invade Cuba and a secret one to withdraw US missiles from Turkey. It was the closest the world has come to nuclear war.
  • Consequences. A direct hotline between Washington and Moscow (1963); the Partial Test Ban Treaty (August 1963); and a lesson both sides drew — that crises had to be managed, not won — which is where Unit 4 Topic 2 begins.
Feb 1945 12 Mar 1947 4 Apr 1949 4 Oct 1957 16–28 Oct 1962 Yalta: the Big Three plan post-war Europe the Truman Doctrine: containment declared NATO founded; Warsaw Pact follows 1955 Sputnik: the space race and the missile race Cuban Missile Crisis: thirteen days July–Aug 1945 June 1948–May 1949 25 June 1950 13 Aug 1961 Potsdam: Truman, Stalin, Attlee; Germany divided Berlin blockade; the Western airlift North Korea invades; war to July 1953 the Berlin Wall goes up overnight The nine ticks are in chronological order; the spacing between them is even, not to scale.
Figure 3.2 — the Cold War, 1945 to 1962The pattern is escalation: conferences (1945), a doctrine (1947), a crisis and an alliance (1948–49), a hot war by proxy (1950), the missile age (1957), and two confrontations that could have ended everything (1961, 1962). Cuba is the hinge of the whole course: after it, the story turns toward managing the rivalry rather than winning it.
Figure 3.5 — thirteen days on the mapNinety miles is the whole story: missiles that close to Florida would have cut warning times to minutes. The quarantine line is schematic: the navy stopped Soviet ships some 800 km out from Cuba.
Unit 4 · Topic 2The Cold WarFrom détente to the end, 1962–1991

The Cold War, 1962–1991: from détente to dissolution

After Cuba the superpowers learned to talk while they armed. The thaw held for a decade, froze again over Afghanistan, and then — in six years under one Soviet leader — the whole structure came down without a shot fired between the two sides. This is the topic the external exam is set on, so it ends with the toolkit for answering it.

4.1Vietnam, briefly

Figure 4.3 — containment's costliest testA long thin country with its capital cities at opposite ends, a border in the middle and the enemy's supply road running through the neighbours: the map explains why the war could not be won by holding a line.

Containment's costliest test. After the French left in 1954, Vietnam was divided at the 17th parallel between a communist North under Ho Chi Minh and an American-backed South. Fearing the "domino theory" — that one country's fall would topple its neighbours — the United States escalated from advisers to war: the Gulf of Tonkin Resolution (August 1964) gave President Johnson a free hand, the first combat troops landed in March 1965, and more than 500,000 Americans were in Vietnam by 1968. The Tet Offensive of January 1968 was a military defeat for the North but a political defeat for Washington: television showed a war the government had said was being won. Nixon withdrew under the Paris Peace Accords of 27 January 1973; Saigon fell on 30 April 1975. About 58,000 Americans and, by most estimates, two to three million Vietnamese died. The war drained American money, confidence and moral authority — and made both superpowers readier to negotiate.

4.2Détente, 1969–1979

Détente ("relaxation") was the deliberate easing of tension through negotiation, trade and arms control. Each side had reasons: the US was exhausted by Vietnam and split with China; the USSR needed Western grain and technology and feared a two-front confrontation after border clashes with China in 1969.

DateAgreementWhat it did
1968Nuclear Non-Proliferation TreatySignatories without nuclear weapons agreed not to acquire them; the nuclear powers agreed to negotiate disarmament
Feb 1972Nixon visits BeijingThe US opened relations with communist China, giving Moscow a reason to deal
26 May 1972SALT I and the ABM Treaty, signed in Moscow by Nixon and BrezhnevThe first limits on strategic missile launchers (a five-year freeze) and on anti-missile defences — keeping both sides vulnerable, which is what deterrence required
1972West Germany's Ostpolitik under Willy Brandt: the Basic TreatyThe two Germanies recognised each other; both joined the UN in 1973
1 Aug 1975Helsinki Accords, signed by 35 statesThe West accepted Europe's post-war borders; the Soviet bloc accepted commitments on human rights — which dissidents such as Charter 77 in Czechoslovakia then used against their governments
18 June 1979SALT II, signed by Carter and BrezhnevSet equal ceilings on launchers; never ratified by the US Senate after Afghanistan, though both sides observed it informally

4.3Afghanistan and the "Second Cold War", 1979–1985

Portrait of Ronald Reagan
Ronald Reagan1911–2004
  • On 24–27 December 1979 Soviet troops invaded Afghanistan to prop up a failing communist government. The US responded with grain and technology embargoes, a boycott of the Moscow Olympics of 1980, and covert arms to the Afghan mujahideen. The war lasted nine years, killed about 15,000 Soviet soldiers and perhaps a million Afghans, and became the USSR's Vietnam; the last Soviet troops left on 15 February 1989.
  • Ronald Reagan (President from January 1981) called the USSR an "evil empire" (8 March 1983), raised defence spending sharply, deployed Pershing II and cruise missiles in Western Europe (November 1983) to match Soviet SS-20s, and announced the Strategic Defense Initiative (SDI, "Star Wars", 23 March 1983), a space-based missile shield that threatened to make Soviet missiles useless.
  • Tension peaked in autumn 1983: the Soviets shot down Korean Air Lines flight 007 (1 September), and during the NATO exercise Able Archer in November some in the Soviet leadership feared a real first strike was being prepared. Historians disagree about how close war came; the archives suggest closer than anyone in the West realised at the time.
  • The Soviet economy, meanwhile, was stagnating: growth near zero, oil prices collapsing from 1985, a fifth or more of output going to the military, and three elderly leaders dying in office between November 1982 and March 1985.

4.4Gorbachev: glasnost, perestroika and the end of the arms race

Portrait of Mikhail Gorbachev
Mikhail Gorbachev1931–2022

Mikhail Gorbachev became General Secretary on 11 March 1985, aged 54, determined to save the Soviet system by reforming it. His two words: glasnost ("openness") — freer speech, honest media, the release of dissidents, public discussion of Stalin's crimes; and perestroika ("restructuring") — limited market reforms and an end to the command economy's worst rigidities. The Chernobyl disaster of 26 April 1986, initially covered up, showed him how badly the old secrecy worked.

DateSummit or stepResult
Nov 1985Geneva: Reagan and Gorbachev meetNo agreement, but a personal relationship — and a joint statement that a nuclear war "cannot be won and must never be fought"
Oct 1986ReykjavikThe two leaders came close to agreeing to abolish all nuclear weapons; the talks broke down over SDI
8 Dec 1987INF Treaty, WashingtonThe first treaty to abolish an entire class of weapons — all intermediate-range missiles — with on-site inspection. About 2,700 missiles destroyed
Dec 1988Gorbachev at the United NationsAnnounced unilateral cuts of 500,000 troops and, in effect, renounced the Brezhnev Doctrine of 1968 that had justified intervening in satellite states. Eastern Europe was on its own

4.51989, and the dissolution of the Soviet Union

Figure 4.4 — 1989 on the mapSame blocs as Figure 3.3, three decades later. The order matters for the exam: Poland and Hungary opened the gaps, Berlin followed, and the Soviet Union itself went last.
  1. Poland. Legalised after years of suppression, the trade union Solidarity won almost every seat it contested in semi-free elections on 4 June 1989; by September Poland had its first non-communist prime minister since the 1940s.
  2. Hungary cut the barbed wire on its Austrian border in May and opened it fully to East Germans on 11 September 1989. Tens of thousands of East Germans "holidayed" in Hungary and drove west.
  3. East Germany. Weekly demonstrations in Leipzig grew from thousands to hundreds of thousands; Gorbachev, visiting in October, refused to back a crackdown. On the evening of 9 November 1989 a confused announcement about new travel rules brought crowds to the checkpoints, the guards opened the gates, and Berliners climbed onto the Wall that had divided them for 28 years.
  4. The rest of the bloc fell within weeks: Czechoslovakia's Velvet Revolution in November, Bulgaria's leadership change, and in Romania the only violent end, with Ceauşescu shot on 25 December 1989. At Malta on 2–3 December, Gorbachev and George H. W. Bush declared the Cold War over.
  5. Germany reunified on 3 October 1990, inside NATO, with Soviet consent. The Warsaw Pact dissolved itself on 1 July 1991.
  6. The Soviet Union itself. Glasnost let the republics demand independence — Lithuania first, in March 1990 — and perestroika delivered shortages, not prosperity. Hardliners staged a coup on 19–21 August 1991; it collapsed when Boris Yeltsin, President of the Russian republic, defied it from a tank outside the Russian parliament. On 8 December Russia, Ukraine and Belarus declared the Union dissolved; Gorbachev resigned on 25 December 1991 and the Soviet flag came down over the Kremlin. The USSR formally ceased to exist the next day.
Why did the Cold War end? The contestable question

The "Reagan victory" school: American rearmament and SDI forced a bankrupt USSR to give up. The "Gorbachev" school (e.g. Archie Brown): the end was chosen by a reformer who refused to use force, and would not have happened under a different General Secretary — China in June 1989 shows what force could still do. Structural explanations: a command economy that could not compete with Western technology and consumer prosperity, and nationalism inside the Soviet empire. People power: Solidarity, Leipzig, the Baltic human chain of August 1989. A good answer weighs these against the specific source in front of it rather than picking a favourite.

Oct 1962 26 May 1972 Dec 1979 8 Dec 1987 25–26 Dec 1991 Cuban Missile Crisis ends; hotline follows SALT I and the ABM Treaty: détente at its height USSR invades Afghanistan; détente collapses INF Treaty: a whole class of missiles abolished Gorbachev resigns; the USSR is dissolved Mar 1965 1 Aug 1975 11 Mar 1985 9 Nov 1989 US combat troops land in Vietnam Helsinki Accords: borders and human rights Gorbachev becomes General Secretary the Berlin Wall opens; Germany reunites Oct 1990 The nine ticks are in chronological order; the spacing between them is even, not to scale.
Figure 4.1 — the Cold War, 1962 to 1991Read it as three movements: détente rising from Cuba to Helsinki (1962–75), the freeze from Afghanistan to 1985, and then six years in which one leader's choices and a continent's crowds ended a forty-six-year confrontation. The external exam draws its sources from this line.

4.6The historian's toolkit for the external exam

The external examination gives you a set of sources on this topic and asks short-response questions about them. The vocabulary is the same as Year 11; what changes is that you must now bring the content above to each source. Here is the order of questions to ask, every time.

ANALYSING A SOURCE: THE ORDER OF QUESTIONS the same seven moves, whatever the source and whatever the question 1 ORIGIN who made it, when, where; what type of source it is 2 PURPOSE why: to inform, persuade, record, justify, sell? 3 CONTENT what it says or shows; tone; what it leaves out 4 RELIABILITY accurate about what it claims? reason from 1 to 3 5 USEFULNESS for THIS question — even an unreliable source can be 6 CORROBORATION does an independent source agree? where do they differ? 7 JUDGEMENT a supported claim: useful for X because… but limited by… ask read judge apply to the question test decide In the external exam: every answer names origin and purpose, then judges. Reliability and usefulness are separate judgements: a propaganda poster is unreliable about conditions yet very useful about intentions.
Figure 4.2 — seven moves, in orderThe order matters because each move depends on the one before: you cannot judge reliability without knowing purpose, and you cannot judge usefulness without the question. Corroboration comes late, once you know what each source is worth on its own. The final judgement is one sentence with a "because" and a "but" in it.
TermThe question it answersWorked on a Cold War source
OriginWho made it, when, where, of what type?A Soviet poster of 1950 showing a smiling worker beneath Stalin: made by the state propaganda apparatus, in the year of Korea, for a Soviet public
PurposeWhy was it made, for whom?To reinforce loyalty and present the USSR as prosperous and peaceful at a moment of confrontation
UsefulnessDoes it help answer my question?For "how did the Soviet state present itself in 1950?" — extremely useful. For "what were living standards in 1950?" — almost useless, except as evidence of what the state wanted concealed
ReliabilityCan it be trusted to be accurate about what it claims?Not reliable about conditions: its purpose is persuasion and its origin is the party. Say why from the provenance; "it is biased" on its own earns nothing
CorroborationDo independent sources agree?Compare it with Khrushchev's 1956 secret speech or with post-1991 archival studies; note that two Soviet posters do not corroborate each other because they share an origin
ContestabilityDo informed historians genuinely disagree?On the origins of the Cold War (orthodox, revisionist, post-revisionist) and its end (Reagan, Gorbachev, structure, people) — name the school a source belongs to
Three habits that lose marks

Describing instead of judging: the examiner can read the source; they want to know what it is worth. Confusing reliability with usefulness: decide each separately and say which you are doing. Answering a different question: if the question is about the end of the Cold War, a perfect paragraph on Cuba scores nothing. Read the question twice; then apply the seven moves to that question and no other.

Start hereQCAA DesignGeneral · Units 3–4

Design for someone, for a client, for the planet, for a year that has not happened yet.

Year 11 gave you the process: explore, develop, resolve, and a decision you can defend with evidence. Year 12 runs that process in four harder settings — a real user whose life you do not share, a client with a budget and a market, a product that has to survive its own end of life, and a future nobody can see. It ends with a two-hour design challenge set by the QCAA.

The mapUnits 3 and 4, four topics

  1. Unit 3, Topic 1 — Designing with empathy. The five-mode human-centred loop; research methods that go deeper than a survey; synthesis into a point-of-view statement; journey maps; turning needs into criteria.
  2. Unit 3, Topic 2 — Design in industry. Clients, briefs and constraints; markets and value; product, architectural and graphic contexts; industry sketching, prototyping and iteration; presenting a proposal.
  3. Unit 4, Topic 1 — Redesigning. Life cycle analysis from extraction to end of life; the circular economy; the redesign strategies; evaluating a redesign against sustainability criteria.
  4. Unit 4, Topic 2 — Designing for the future. Trends, drivers and signals; scenario building; speculative design; the external examination design challenge and how to sketch for an examiner.
AssessmentWhat it isWeight
IA1 — ExaminationDesign challenge: respond to an unseen brief under exam conditions, in sketches and annotations15%
IA2 — ProjectA human-centred design project for a client, documented from research to proposal25%
IA3 — ProjectA sustainable redesign project, evaluated against life cycle criteria35%
External examinationDesign challenge set and marked by the QCAA: analyse a brief, generate and evaluate ideas, resolve and communicate one25%
The habit that earns marks in Year 12

Year 11 asked for a reason attached to evidence. Year 12 asks for a reason attached to evidence and to a person. Not «the handle is 32 mm because that is the ergonomic standard», but «the handle is 32 mm because Joan, who has arthritis, could not close her fingers around the 24 mm sample in the second test, and she is the user the brief names». Every decision in the folio should be traceable to something a user did, said or needed.

Three ways Year 12 folios lose marks

Research theatre — a survey of thirty classmates about a product for aged-care residents. The unlabelled sketch — a beautiful drawing with no material, no dimension, no reason, which the examiner has to mark as an idea with no thinking attached. Sustainability by adjective — «eco-friendly bamboo» with no life cycle stage named and no number.

Unit 3 · Topic 1Design U3T1Designing with empathy

Designing with empathy: the five-mode loop

Human-centred design in Year 11 was a set of commitments. In Year 12 it is a working method with five modes, a research toolkit that goes deeper than asking, and a way of turning what you learned about a person into a criterion you can test.

1.1Empathise, define, ideate, prototype, test

THE HUMAN-CENTRED DESIGN LOOP EMPATHISE observe, interview, feel the user’s situation DEFINE synthesise the findings into one problem statement IDEATE generate many options diverge, then converge PROTOTYPE build the rough version that answers a question TEST put it in users’ hands and record what happens research findings point-of-view statement a rough build to try the prototype failed: back to ideas the most promising ideas a finding that changes the problem: start again from the user Empathise and define are the EXPLORE phase seen up close; ideate, prototype and test are DEVELOP. Two return arrows: a failed prototype sends you back to ideas; a surprising finding sends you back to the user.
Figure 1.1 — the five modes and the two ways backYear 11’s explore–develop–resolve is still the frame; this loop is the same process with the explore and develop phases opened up. The two dashed return arrows are the part students forget to draw and examiners look for: a test that fails sends you back to ideas, and a test that reveals a new need sends you all the way back to the user.
ModeThe question it answersWhat you must have at the end
EmpathiseWhat does this person actually do, and what does it feel like?Raw evidence: observation notes, interview transcripts, photographs, a journey map
DefineWhat is the real problem, stated from the user’s side?A point-of-view statement and design criteria that trace back to the evidence
IdeateHow many different ways could this be solved?Many options, then a shortlist chosen against the criteria
PrototypeWhat is the cheapest thing I can build to find out whether this works?A rough model that isolates one question
TestWhat did the user do with it, and what does that tell me?Recorded behaviour, not opinions, and a decision: keep, change, or go back

1.2Research methods that go deeper than asking

Year 11 gave you observation, interviews and surveys. These methods find what those miss: the things people do without noticing, the things they will not say, and the way a task feels from inside.

MethodWhat it isWhat it findsRun it well
Contextual inquiryWatching a person do the real task in the real place, asking questions as they goWorkarounds, interruptions, the tools they actually reach forBe an apprentice, not an examiner: «show me how you…», then shut up and watch
ShadowingFollowing one person through a whole shift or dayThe sequence and rhythm of a job; where time and energy goLog times. The pain points are usually between tasks, not inside them
Diary studyThe user records each time the problem happens, over a week or moreFrequency, pattern, and the moments you would never be present forMake the entry take under a minute: a photo and three words
Think-aloud testThe user narrates their thoughts while using a prototypeWhere the design confuses, and why, in the user’s own wordsNever help. Silence and a wrong move are both data
The five whysAsking «why?» about a stated problem, five times overThe cause beneath the complaint«The bin is too far» → why do you not walk to it? → because I lose my seat → the problem is seating, not bins
Extreme usersDeliberately researching people at the edges: the expert, the first-timer, the person with a disabilityNeeds the average user has too, but cannot articulateDesign for the edge and the middle usually follows
Research theatre

A survey of your friends about a product for someone you have never met is not research; it is paperwork. If the brief names aged-care residents, night-shift nurses or Year 1 students, the evidence in your folio must come from those people, or from people who work with them every day. One hour of observation with the right person outweighs a hundred survey responses from the wrong ones.

1.3Synthesis: from a pile of notes to one statement

  1. Get everything on cards. One observation, quote or fact per card. No conclusions yet.
  2. Cluster into an affinity diagram. Move cards that seem related together, then name each cluster with a heading written as a sentence: «residents will not ask for help with the remote», not «remotes».
  3. Turn clusters into insights. An insight is a surprising, useful truth about the user that explains behaviour: «she hides the remote because asking for help feels like admitting she cannot cope».
  4. Write the point-of-view statement. The formula is [user] needs [need] because [insight]: «Joan, 84, needs to control her television without help because asking makes her feel she is losing her independence.» Note that the need is a verb, not a product: never «needs a bigger remote».
  5. Generate how-might-we questions from the statement, each opening a different direction: how might we make the controls impossible to get wrong? How might we make asking for help feel normal?

1.4The journey map

FIND OUT REQUEST COLLECT USE RETURN DOING THINKING FEELING CURVE PAIN POINTS 1 low – 5 high hears about the loan scheme from a friend fills in the portal form waits for approval email queues at the desk signs a paper sheet logs in; battery 40% hunts for a charger back at 3:05 pm the desk is closed is there even a system? did it go through? I’ll miss the start of class why isn’t it charged? will I be fined? 3 4 1 3 2 12-min queue at desk only 40% battery desk closed: fine? A journey map is evidence laid out in time. The lows on the feeling curve are where the design work is.
Figure 1.2 — a journey map for borrowing a library laptopEvery cell is built from observation and interview, never guessed. The feeling curve is the point of the map: the redesign should attack the low at collect and the fall at return, and a solution that only polishes the request stage — already the high point — has missed the evidence. Note that two of the three pain points sit between the moments of use.

1.5From a need to a criterion

A criterion in Year 12 must be traceable: the folio should show the chain from something a user did, through the insight it produced, to the measurable statement the design will be tested against.

EvidenceInsightDesign criterion
Joan could not close her fingers around the 24 mm sample; she managed the 32 mm oneGrip diameter, not button size, is what limits herEvery grasped part is 30–36 mm in diameter, and Joan operates all controls unaided on the first attempt
Eleven of twelve students queued more than ten minutes to collect a laptopThe desk, not the form, is the bottleneckA student with an approved request collects a laptop in under 2 minutes without staff involvement
Nurses carried the tablet under one arm while pushing a trolley in nine of ten observed corridor tripsBoth hands are already busy; the device must survive being carried, not just usedThe device attaches to the trolley rail in one motion and stays attached over a 20 mm threshold at walking pace
Diverge, then converge: the shape of the middle

Year 11 taught the two opposite skills. In Year 12 you should be able to show the shape in the folio: a wide field of options after ideation (thumbnails, morphological combinations, how-might-we variants), then a visible narrowing — a screen against constraints, a weighted matrix, a shortlist of three, one chosen — with the criteria doing the narrowing, not your taste. An examiner should be able to see where the field was widest and what closed it.

Unit 3 · Topic 2Design U3T2Design in industry

Design in industry: clients, markets and constraints

In industry nobody designs for themselves. There is a client who pays, a user who is not the client, a market that decides whether the thing sells, and a set of constraints that were fixed before you arrived. The skill is to make something good inside all of that, and then to present it so the client says yes.

2.1The client and the brief

A client commissions and pays for the design; the user is the person who will live with it. They are rarely the same person, and when their interests conflict, the folio must say how the conflict was resolved and why. A design brief is the client’s written statement of what they want, and reading it properly is a skill in itself.

Part of the briefWhat it containsWhat to do with it
ContextWho the client is, what they do, why they need this nowFind the problem behind the request: a café asking for «a new sign» may actually have a visibility problem from the road
Target user and marketWho it is for, and who it competes withResearch them, not your classmates; map the competitors
RequirementsWhat the design must doRewrite as measurable criteria and get the client to agree the weights
ConstraintsBudget, timeline, materials, standards, site, brand rules, manufacturing methodList them before ideating; any idea that breaks one is dead, however good
DeliverablesWhat the client will receive: concepts, drawings, a prototype, a presentationPlan backwards from the deliverable date
What is missingBriefs are always incompleteWrite the questions down and ask them at the first meeting; assumptions you make silently are the ones that cost money
Reading a brief in an exam

Underline three things in different colours: the user (who), the requirements (must), and the constraints (cannot, within, no more than). Then write one sentence that says what the brief is really asking for. Most exam briefs contain one constraint that rules out the obvious answer — find it before you sketch.

2.2Market, competitors and value

  • A target market is the group of buyers the design is aimed at, described by what they need, what they can pay and how they buy — not by age alone. «Parents of primary students who buy school gear online in January» is a target market; «people aged 30–45» is not.
  • Competitor analysis places existing products on the two axes the market cares about — price against durability, say — and looks for the empty corner. A design that lands on top of an existing product must beat it; one that lands in an empty corner only has to be wanted.
  • A value proposition is one sentence saying what the design does for its user that the alternatives do not: «a school water bottle that survives five years of being dropped, so it is bought once».
  • Cost is not price. Cost is what it takes to make; price is what the market will pay; the gap is the margin that keeps the client in business. A design that is beautiful at $60 unit cost in a $40 market has failed the brief.
  • Volume changes everything. A tool that costs $9,000 makes each of 10 parts cost $900 and each of 100,000 parts cost nine cents. Ask how many will be made before choosing a manufacturing method.

2.3Three industry contexts

 Product designArchitectural designGraphic design
What is designedObjects that are made and sold: tools, furniture, devices, packagingBuildings and spaces: houses, shops, public places, interiorsVisual communication: identity, signage, publications, interfaces
Typical constraintsUnit cost, manufacturing method, tolerances, safety standards, ergonomicsSite, orientation, building codes, budget per square metre, egress, climateBrand guidelines, print or screen, legibility at distance, accessibility, budget
DeliverablesConcept sketches, CAD, a prototype, technical drawings, a bill of materialsSite plan, floor plans, elevations, sections, a model or renderConcepts, a style guide, final artwork, mock-ups in context
Standards that biteAustralian Standards for the product type; anthropometric dataThe National Construction Code; local planning rules; AS 1100 drawingColour-contrast ratios for accessibility; print specifications; type licensing
How it is testedDrop, load, fatigue and usability tests on prototypesWalk-throughs of models; daylight and thermal studies; code checksLegibility at the real viewing distance; comprehension tests; colour-vision checks

2.4Ideation and sketching, the industry way

  1. Thumbnails first, and many. Twenty in twenty minutes, none rendered. In industry these stay in the folio as proof that the field was wide.
  2. Concept sketches develop the three or four survivors: larger, in perspective or an appropriate view, with the construction lines still visible and annotations for material, function and reason.
  3. Rendered presentation drawings for the client: colour, tone, context, a person for scale. These sell; they do not specify.
  4. Technical drawings for the maker: orthographic views to scale, dimensioned, toleranced. These specify; they do not sell.
  5. Annotation conventions. Leader lines to the exact part; the note names the material, the function and the reason; dimensions in millimetres; a question mark for something still to be tested. A sketch with no annotations is an idea with no thinking attached.

2.5Prototyping and iteration under industry pressure

TermWhat it meansWhy it matters
Proof of conceptThe roughest build that shows the core idea can work at allKills a bad idea for $5 rather than $5,000
Minimum viable productThe simplest version that a real user can actually use, released to learn fromReal use produces evidence that no internal test can
Design for manufactureChanging the design so it can be made by the chosen method at the chosen volumeA part that cannot be moulded, or needs six operations instead of two, is not finished
ToleranceThe allowed variation in a dimension, written as ±Parts that must fit together need tight tolerances; tight tolerances cost money; specify only where fit matters
Design freezeThe date after which the design cannot change without costIteration has a deadline in industry; the loop has to close
Pilot runA small production batch to find manufacturing problems before the full runThe first hundred find the faults the first one did not

2.6Presenting a design proposal

A proposal is a pitch with evidence attached. Year 11 gave you the five parts of a pitch; a Year 12 proposal adds the things a client needs before they can say yes.

SectionWhat it containsThe client’s question it answers
The problemThe brief restated in the user’s terms, with the research evidenceDid you understand what I asked for?
The options consideredThe shortlist and the matrix that chose between themIs this the best of what was possible, or the first thing you thought of?
The proposed designPresentation drawings, the prototype, the test results against the criteriaDoes it work, and how do you know?
FeasibilityMaterials, manufacturing method, unit cost at volume, timeline, standards metCan it actually be made, for what, by when?
Risks and next stepsWhat is still untested, and what you propose to do about itWhat could go wrong, and are you hiding anything?
The decisionExactly what you are asking the client to approveWhat do you need from me today?
IA2 — the project

IA2 is a documented human-centred design project for a client, and the folio is marked on the process as much as the outcome: the research, the synthesis, the breadth of ideation, the evidence that chose the concept, and the proposal. The commonest lost marks are a shortlist with no visible reason for the choice, and a proposal that never returns to the criteria. Present the matrix, present the test results, and say where the design fell short.

Unit 4 · Topic 1Design U4T1Redesigning

Redesigning: the whole life of a product

Every product has a life before it reaches you and a life after you are done with it, and most of the damage happens at the two ends. Sustainable design starts by drawing that whole life, finding the stage that costs most, and redesigning to close the loop.

3.1Life cycle analysis

LIFE CYCLE OF A PRODUCT, AND THE THREE LOOPS THAT CLOSE IT to landfill: value lost raw material stock material product packed product worn product EXTRACT mine, drill, log PROCESS refine into stock MAKE shape and assemble DISTRIBUTE pack, ship, sell USE energy, consumables END OF LIFE discard or recover reuse, repair remanufacture: parts back into a new product recycle: material recovered, energy spent again The higher the loop on this drawing, the less energy it costs to close: reuse beats remanufacture, which beats recycling.
Figure 3.1 — the life cycle and its loopsA life cycle analysis lists the energy, water, materials and emissions at each of the six stages, then finds the stage that dominates. For a kettle it is use (electricity over ten years dwarfs its manufacture); for a paper cup it is extract and end of life; for a phone it is make. The redesign should attack the dominant stage — a kettle made of recycled plastic that still boils a full litre for one cup has redesigned the wrong stage.
StageWhat it costsQuestions to ask
ExtractMining, drilling, logging, farming: land, water, energy, habitatIs the material renewable? Recycled content available? How far did it travel?
ProcessTurning ore, crude or timber into sheet, pellet, board: usually the most energy-hungry step for metalsVirgin aluminium takes about twenty times the energy of recycled; does the design need virgin?
MakeForming, machining, assembling; offcuts, water, solventsCan parts nest to cut scrap? Fewer operations? Fewer fasteners?
DistributePackaging, transport by mass and volume, retailDoes it stack, flat-pack or ship empty? Is the packaging the product’s own waste?
UseEnergy, water, consumables, maintenance over the whole service lifeHow long does it last? Can it be repaired? What does it consume each day?
End of lifeCollection, sorting, recycling or landfill; toxicityCan it be separated into single materials with hand tools? Is any part hazardous?

3.2Linear and circular

 Linear economyCircular economy
The shapeTake, make, use, dispose: a straight line that ends in landfillLoops that return products, parts and materials to use
What counts as wasteAnything the user no longer wantsNothing, in principle: every output is designed to be an input
Business modelSell as many units as possible; a product that fails early sells a replacementSell the service or the outcome; a product that lasts is more profitable, not less
Design consequenceCheap to make, hard to repair, glued and welded, mixed materialsDurable, repairable, modular, mono-material, designed for disassembly
The three loops, cheapest firstReuse and repair keep the product whole. Remanufacture takes it apart and rebuilds it with parts replaced. Recycle destroys the product to recover the material, and spends energy doing it. Design so the highest loop is possible

3.3The redesign strategies

StrategyWhat you changeApplied to a school chairIts trade-off
DematerialiseUse less material for the same function: thinner sections, ribs instead of solid, fewer partsA ribbed shell 2.5 mm thick instead of a solid 4 mm one saves 35% of the polymerThinner can mean weaker; test it
Material substitutionReplace a material with one of lower impact at the dominant stageRecycled polypropylene shell instead of virgin; a steel frame instead of a mixed alloyThe substitute must meet the same criteria, not just sound better
Design for disassemblyFasteners instead of adhesives; parts separate into single materials with common toolsFour bolts hold the shell to the frame; no glue, no rivetsBolts cost more than glue and can loosen; specify a locking type
Mono-materialMake the whole part from one material so it recycles without sortingThe shell, its glides and its stacking bumpers all in polypropyleneOne material rarely does every job best
Design for durability and repairLengthen the service life; make the wearing parts replaceableReplaceable floor glides; a frame rated for 15 years of daily useA longer life must be wanted; fashion can end a product before wear does
ModularityStandard, interchangeable parts across a product familyOne frame fits three shell sizes, so a school buys one set of sparesStandard interfaces can constrain the form
Product-service systemSell the use, not the object; the maker keeps ownership and takes it backThe school leases chairs; the maker collects, refurbishes and reissues themNeeds a maker willing to run the return loop

3.4A worked redesign: the school chair

The brief: a stacking classroom chair. Life cycle analysis shows the dominant stage is make (a solid virgin polymer shell) and, second, end of life (shell glued to frame; landfilled whole). The redesign attacks both.

MeasureExisting chairRedesignChange
Polymer in shell1.8 kg virgin PP1.2 kg, 60% recycled PP, ribbed−33% mass; −60% virgin
FasteningAdhesive plus 6 rivets4 locking boltsSeparable with one tool
Time to separate materialsnot possible by hand90 secondsRecyclable at end of life
Materials in product42 (PP, steel)Both loops open
Rated service life8 years15 years, glides replaceable+88% life
Static load test (AS/NZS seating)PassPass at 2.5 mm ribbed; fail at 2.0 mmCriterion met at 2.5 mm only
Unit cost at 5,000 units$31$34+$3; recovered in year 9
What that table is doing

Every row is a criterion with a number, and one of them is honest about a failure: the 2.0 mm shell did not pass the load test, so the redesign settled on 2.5 mm. The cost went up, and the table says so, then argues that the longer life pays it back. That is what an evaluation against sustainability criteria looks like — not «the new chair is eco-friendly», but a stage named, a measure chosen, a number before and after, and a trade-off admitted.

3.5Evaluating against sustainability criteria

  • Write the criteria before redesigning, from the life cycle analysis: one for the dominant stage, one for end of life, one for service life, and the original functional criteria, which still apply. A chair that recycles beautifully and collapses is not a redesign.
  • Each criterion needs a measure and a target: mass of virgin material (kg), recycled content (%), time to separate into single materials (s), rated life (years), energy in use (kWh per year), packaging volume (L per unit shipped).
  • Beware greenwashing in your own folio: a natural-sounding material is not evidence. Bamboo shipped 9,000 km and bonded with formaldehyde resin can score worse than local recycled steel. Follow the numbers through the stages.
  • Report the rebound: a cheaper, lighter product that people buy twice as often may cost more overall. Name it if it applies.
  • IA3 is the largest single assessment in the course, and it is marked on this evaluation as much as on the design. Say what was not met, and what the next iteration would change.
Unit 4 · Topic 2Design U4T2Designing for the future

Designing for the future, and the external exam

A product designed this year will be used in a world that does not exist yet. Futures thinking is the set of tools for designing into that uncertainty without guessing — and the external examination asks you to do it in two hours, on paper, for a brief you have never seen.

4.1Trends, drivers and signals

  • A trend is a direction of change you can already measure: more people living alone; more deliveries per household; hotter summers. Trends are evidence, and you cite the source.
  • A driver is the force behind a trend — the reason it is happening: an ageing population, cheaper batteries, a carbon price. A trend can reverse; a driver usually does not. Design for drivers.
  • A signal is a small, early example of a possible future — a product, a rule, a behaviour that exists now in one place and may spread. A signal is not proof; it is a question worth asking.
  • A megatrend is a large, slow, global shift that will shape decades: urbanisation, climate change, digitisation, an ageing world. Every brief you are given sits inside several.
STEEP lensAskDriver, for a school furniture brief
SocialHow are people living, learning, working, ageing?Classrooms are moving from rows to flexible group layouts
TechnologicalWhat is becoming cheap, small, or possible?Every student carries a device that needs a flat surface and power
EconomicWho has money, and what is it being spent on?Schools buy on whole-of-life cost, not purchase price
EnvironmentalClimate, resources, regulation on waste and emissionsProcurement rules increasingly require recycled content and take-back
PoliticalLaw, standards, public funding, tradeAustralian Standards for seating are being revised for heavier loads

4.2Scenario building

A scenario is a plausible, internally consistent story about one possible future — not a prediction. The standard method takes the two most important uncertainties for the brief and crosses them, producing four futures to design for.

Classroom furniture, 2040Learning stays mostly in the buildingLearning is mostly distributed (home, hubs, online)
Materials remain cheap«Big school, more of it» — large flexible rooms; furniture bought in volume; durability and stackability dominate«The kit» — furniture is issued to students, moves between sites; lightness and folding dominate
Materials become scarce and costly«Keep and repair» — schools own furniture for decades; modularity and repairable parts dominate«Furniture as a service» — nobody owns a chair; leasing, take-back and remanufacture dominate
  1. Name the two uncertainties that matter most and could genuinely go either way. If one is really a certainty, it is a driver, not an axis.
  2. Write each scenario as a short story from a user’s day, with a name. A scenario nobody can picture is not a scenario.
  3. Test the design in all four. A concept that works in three and fails in one is worth more than one that is perfect in a single future.
  4. Look for the robust features — the things every scenario rewards. In the table above, disassembly is rewarded in all four quadrants; that is where the design effort goes.

4.3Speculative design and backcasting

  • Speculative design makes objects from a possible future in order to ask a question, not to sell a product: a kitchen appliance that rations water, a school uniform that reports its own repairs. The value is the conversation it starts about whether we want that future.
  • Mark speculative work as speculative. A folio that presents a provocation as if it were a proposal has confused two jobs.
  • Backcasting starts from a chosen future — «by 2040 every chair we sell comes back to us» — and works backwards to what must be true in 2035, 2030 and next year for it to happen. Forecasting asks what will happen; backcasting asks what has to.
  • Futures thinking does not replace the criteria. It changes which criteria matter and how heavily they are weighted. The matrix still decides.

4.4The external examination: the design challenge

The paper gives you a stimulus (images, data, a scenario), a brief with a user and constraints, and a set of tasks that walk through the process in a fixed order. You answer in sketches and annotations as much as in sentences. Everything you have practised in the folio must now happen in about two hours.

TaskWhat the examiner marksTimeWhat it looks like on the page
Analyse the brief and stimulusThat you found the user, the requirements, the constraints, and the problem behind the request~20 minUnderlined brief; a one-sentence problem statement; three to five measurable criteria; the constraint that rules out the obvious
Generate ideasBreadth and difference: genuinely distinct concepts, not one idea in three colours~40 minSix to eight thumbnails, each annotated with what makes it different; two or three developed further
Evaluate the ideasJudgement against the criteria you wrote, with reasons~20 minA quick matrix or a criterion-by-criterion table; a stated choice; what the losing ideas lacked
Resolve and communicateOne concept developed to the point where a reader could picture it working, and a justification~35 minA larger annotated sketch with dimensions, materials and reasons; a short paragraph tying it to the user and the criteria
Check~5 minEvery sketch labelled; every criterion referred to at least once; nothing unanswered
How exam design challenges are lost

Skipping the analysis and sketching from minute one, so the concept ignores a constraint that was in the brief. Producing three versions of one idea and calling it ideation. Choosing a concept «because it is the best» with no criterion named. And the beautiful unlabelled drawing: an examiner cannot give marks for thinking they cannot see.

4.5Annotated sketching for examiners

ANNOTATED SKETCH: EVERY NOTE SAYS WHAT, WHY, AND WHICH CRITERION MATERIAL FUNCTION REASON QUESTION 230 mm overall height moulded carry loop REASON: no separate part to lose quarter-turn lid FUNCTION: opens one-handed (criterion 2) 0.8 mm recycled aluminium MATERIAL: survives the 200-drop test (criterion 1) flat base, 70 mm across REASON: fits a standard car cup holder does the loop snag on bag zips? QUESTION: test with the next prototype
Figure 4.1 — what an examiner can markFive leader lines, five notes, and each note does three jobs: names the part, says what it is made of or does, and gives the reason — ideally as a criterion number. The dimension makes the sketch checkable. The question mark is not weakness: it shows the examiner you know what is still untested, which is a mark for evaluating. Colour-coding the note types is optional; making every note say why is not.
  1. Draw big. One concept per half page for the developed sketch; thumbnails can be small, but their annotations cannot be unreadable.
  2. Leader lines touch the part. A note floating near a drawing is a guess about what it refers to.
  3. Material, function, reason. Every note. If you cannot give a reason, you have not made a decision yet — write the question instead.
  4. Number your criteria and cite them in the notes: «(criterion 2)». It ties the sketch to the analysis you did in the first twenty minutes, and it is exactly what the marking scheme looks for.
  5. One dimension at least. Height, width, or the one measurement the user’s body dictates. It proves the idea has a size.
Start hereQCAA Digital SolutionsGeneral · Units 3–4

The year your code leaves the building.

Four units covering QCAA Digital Solutions Units 3 and 4. Year 11 built solutions that lived on one machine. Year 12 builds solutions that talk to other systems — a browser asking a server, a server asking a database, your app asking someone else's API — and makes you responsible for what happens to the data on the way.

The mapFour units, two QCAA units

  1. Interactions between users, data and digital systemsUnit 3, Topic 1. Usability and accessibility (WCAG), data structures from arrays to relational tables, SQL with aggregates and multi-table joins, searching and sorting in pseudocode, and validation.
  2. Real-world problems and solution requirementsUnit 3, Topic 2. The explore–develop–generate–evaluate process, prescribed and self-determined criteria, prototyping a web application in HTML, CSS and JavaScript, testing, and the IA2 project.
  3. Digital methods for exchanging dataUnit 4, Topic 1. Client–server, HTTP, REST APIs, JSON and XML, encoding, encryption and hashing, TLS, threats and mitigations, and the Australian Privacy Principles.
  4. Complex digital data exchange problemsUnit 4, Topic 2. Designing a source–transform–sink solution, data integrity and cleaning, working within API limits, the IA3 folio, and the external exam.
How Year 12 is assessed

Four instruments. IA1 Investigation — technical proposal (20%). IA2 Project — digital solution (25%). IA3 Project — folio (30%). External examination (25%), set and marked by QCAA, assessing Unit 4 with short-response and extended-response items. Three quarters of your result is built during the year from work you can plan; the exam is the quarter you cannot.

What carries over from Year 11

Functional versus non-functional requirements, decomposition and abstraction, pseudocode with functions and trace tables, one-to-many relationships and 1NF/2NF, the basic SQL clauses including JOIN, unit/boundary/user testing, and the evaluation paragraph (claim, evidence, judgement, change). All of that is assumed here. If any of it feels shaky, the Year 11 course is one click away.

Unit 1QCAA Unit 3 · Topic 1Interactions between users, data and digital systems

Users, data and digital systems

Every digital solution is three things meeting: a person with a task, data with a shape, and a system that moves the data around. This unit tightens each of them — interfaces you can defend with a standard, data structures chosen on purpose, SQL that summarises as well as filters, and algorithms you can trace and cost.

1.1Usability and accessibility, with a standard behind them

Usability is how effectively, efficiently and satisfyingly a typical user completes their task. Accessibility is whether people with a disability — low vision, colour-blindness, motor impairment, a screen reader — can complete it at all. The two overlap, but they are marked separately, and only one of them has a published standard you can quote.

The Web Content Accessibility Guidelines (WCAG) organise accessibility under four principles. The initials spell POUR:

PrincipleMeaningConcrete rule you can test
PerceivableEvery user can take the content in through at least one senseImages carry alt text; body text contrast is at least 4.5 : 1 against its background; colour is never the only signal
OperableEvery control can be reached and usedEverything works from the keyboard alone (Tab, Enter, Space); touch targets are large enough; nothing flashes
UnderstandableContent and behaviour are predictableLabels sit beside their fields; error messages name the field and say how to fix it; the page language is declared
RobustWorks with today's and tomorrow's browsers and assistive toolsValid HTML; semantic elements (button, nav, label) rather than styled divs, so a screen reader knows what things are
The exam-answer pattern

Name the principle, state the rule, show the fix. "The pale grey text on white fails the perceivable principle because its contrast is below 4.5 : 1; changing the text to #3A4941 raises it above 7 : 1." Three parts, one mark each. "Make it more accessible" on its own earns none of them.

1.2Data structures: choose the shape on purpose

StructureShapeReach an item withUse it when
ArrayA numbered list of values of one type, indexed from 0marks[3]Items are the same kind of thing and order matters
Two-dimensional arrayAn array of arrays — a gridgrid[1][2] is row 1, column 2Timetables, game boards, pixel data, seating plans
RecordOne thing with named fields of different typesticket.paidDescribing one entity with several attributes
Array of recordsMany records, in ordertickets[0].paidNearly all real data in a program, before it reaches a database
Relational tableRows (records) and columns (attributes), with a primary keySELECT … WHERE TicketID = 503Data that must survive the program ending, be shared, and never contradict itself

With grid ← [[1, 2, 3], [4, 5, 6]], grid[0] is the whole first row [1, 2, 3], grid[1][2] is 6, and walking every cell takes a nested loop: FOR r FROM 0 TO 1 … FOR c FROM 0 TO 2. Both indexes start at 0, as always.

1.3The worked schema for this course

A school event-booking app. Three tables, and every SQL example below runs against these exact rows — learn them.

STUDENT
StudentID PKFirstNameYearLevel
1Mia12
2Noah11
3Zara12
4Liam10
EVENT
EventID PKTitleVenuePrice
10FormalHall85.00
11Film NightLibrary5.00
12Careers ExpoGym0.00
TICKET
TicketID PKStudentID FKEventID FKPaid
501110TRUE
502111TRUE
503211FALSE
504310TRUE
505412TRUE
506311FALSE
STUDENT StudentID ← PK FirstName YearLevel TICKET TicketID ← PK StudentID ← FK to STUDENT EventID ← FK to EVENT Paid EVENT EventID ← PK Title Venue Price ONE MANY ONE MANY MANY-TO-MANY, RESOLVED BY A LINKING TABLE One student buys many tickets; one event sells many tickets. No single field could hold both lists. So TICKET sits in the middle: each ticket row names exactly one student and exactly one event. Both foreign keys live in TICKET — the many end of both relationships — and are the whole link. Underlined attribute = primary key. Single bar = one. Three-pronged crow’s foot = many.
Figure 1.1 — STUDENT, TICKET and EVENTYear 11 drew one-to-many. Year 12 adds the case that cannot be drawn directly: a student attends many events and an event has many students. The fix is always the same — a linking table with one row per pairing, carrying a foreign key to each side. Mia (student 1) appears on tickets 501 and 502; the Film Night (event 11) appears on 502, 503 and 506.

1.4SQL: aggregates, grouping and three-table joins

Year 11's four clauses filter and sort rows. Year 12 adds aggregate functions that summarise many rows into one number, GROUP BY to summarise per group, and joins across more than two tables. Every query below has been run against the rows in 1.3.

SELECT FirstName FROM Student WHERE YearLevel = 12 ORDER BY FirstName ASC;
-- 2 rows: Mia, Zara

SELECT COUNT(*) FROM Ticket WHERE EventID = 11;
-- 3   (tickets 502, 503 and 506)

SELECT AVG(Price) FROM Event;
-- 30.00   ((85 + 5 + 0) / 3)

SELECT E.Title, COUNT(*) AS Sold
FROM Event E JOIN Ticket T ON E.EventID = T.EventID
GROUP BY E.Title;
-- Formal 2 · Film Night 3 · Careers Expo 1

SELECT S.FirstName, E.Title
FROM Student S
JOIN Ticket T ON S.StudentID = T.StudentID
JOIN Event  E ON T.EventID  = E.EventID
WHERE T.Paid = FALSE;
-- 2 rows: Noah – Film Night, Zara – Film Night

SELECT SUM(E.Price)
FROM Event E JOIN Ticket T ON E.EventID = T.EventID
WHERE T.Paid = TRUE;
-- 175.00   (85 + 5 + 85 + 0, from tickets 501, 502, 504, 505)

UPDATE Ticket SET Paid = TRUE WHERE TicketID = 503;
-- changes ONE row. Without the WHERE it would mark every ticket paid.
  • The five aggregates: COUNT, SUM, AVG, MIN, MAX. An aggregate on its own collapses the whole result to one row; with GROUP BY it produces one row per group.
  • Every column in the SELECT that is not inside an aggregate must appear in the GROUP BY. SELECT E.Title, COUNT(*) … GROUP BY E.Title obeys that rule.
  • A three-table join is two JOINs in a row. Each ON matches a foreign key to the primary key it refers to; the linking table sits in the middle of the chain.
  • Clause order is fixed: SELECT → FROM → JOIN…ON → WHERE → GROUP BY → ORDER BY. WHERE filters rows before grouping.
  • INSERT, UPDATE and DELETE change data. Year 11 said "a query only reads"; that is no longer true, and it is why an UPDATE or DELETE without a WHERE clause is the most expensive typo in the subject.

1.5Searching and sorting, in pseudocode

Year 11 compared linear and binary search by cost. Year 12 expects you to write them and to trace them. Pseudocode conventions are unchanged: ← stores, = compares, keywords in capitals, indexes from 0, DIV is whole-number division.

FUNCTION linearSearch(list, target)
  FOR i FROM 0 TO LENGTH(list) - 1
    IF list[i] = target THEN RETURN i
  END FOR
  RETURN -1
END FUNCTION

FUNCTION binarySearch(list, target)      // list MUST be sorted
  lo ← 0
  hi ← LENGTH(list) - 1
  WHILE lo <= hi
    mid ← (lo + hi) DIV 2
    IF list[mid] = target THEN RETURN mid
    IF list[mid] < target THEN lo ← mid + 1
    ELSE hi ← mid - 1
  END WHILE
  RETURN -1
END FUNCTION

PROCEDURE bubbleSort(list)
  FOR pass FROM 1 TO LENGTH(list) - 1
    FOR i FROM 0 TO LENGTH(list) - 2
      IF list[i] > list[i + 1] THEN swap list[i] and list[i + 1]
    END FOR
  END FOR
END PROCEDURE

Trace of binarySearch on [3, 8, 12, 17, 23, 31, 44] for target 23:

Passlohimid = (lo + hi) DIV 2list[mid]Compared with 23Next
10631717 < 23lo ← 4
24653131 > 23hi ← 4
344423equalRETURN 4

Three values examined (17, 31, 23) for a list of seven. A linear search for 31 would examine six. One pass of bubbleSort on [5, 2, 9, 1] compares 5–2 (swap), 5–9 (no), 9–1 (swap) and leaves [2, 5, 1, 9]: the largest value has "bubbled" to the end, which is why each later pass can be one shorter.

Which sort, and why it matters less than you think

Bubble sort is the easiest to write and trace; selection sort finds the smallest remaining item and swaps it into place; insertion sort takes each item and slides it back to where it belongs. All three cost about n × n comparisons on n items. In the exam you are asked to trace a given one accurately and to say why a nested-loop sort gets four times slower when the data doubles — not to pick the fastest.

1.6Data validation

Validation is the system checking that input is plausible before it is stored or used. It cannot know whether the input is true — that is verification (a confirmation e-mail, a double entry, a human check).

CheckQuestion it asksRejects
PresenceWas anything entered at all?A blank FirstName
TypeIs it the right kind of value?"twelve" in a numeric YearLevel field
RangeIs a number between its limits?YearLevel 13, when the school runs 7 to 12
LengthIs the text the right number of characters?A ticket code of 5 characters when every code is 6
FormatDoes it match the pattern?An e-mail address with no @; a code that does not start with T
LookupDoes it exist in the reference list?EventID 99, which is in no row of EVENT
FUNCTION isValidCode(code)          // format: "T" + 5 characters
  IF LENGTH(code) <> 6 THEN RETURN false     // length check
  IF code[0] <> "T" THEN RETURN false        // format check
  RETURN true
END FUNCTION

Validate on the client for fast feedback and on the server, because anything sent from a browser can be altered before it arrives. A server that trusts the browser's validation has no validation.

Unit 2QCAA Unit 3 · Topic 2Real-world problems and solution requirements

Real-world problems and solution requirements

The IA2 project is a working web application built for a real problem, marked against criteria you partly wrote yourself. This unit is the method: how the four phases of the problem-solving process turn a messy brief into a solution you can test, and how a prototype earns marks before a single feature is finished.

2.1The problem-solving process: explore, develop, generate, evaluate

PhaseWhat you doWhat you produce
ExploreInvestigate the problem, the users, the existing system, the constraints; elicit and confirm requirementsA problem statement, user needs, functional and non-functional requirements, the criteria
DevelopDesign the solution on paper: data model, algorithms, user interface, how the parts connectRelational schema, pseudocode, wireframes and user-flow diagrams, a test plan
GenerateBuild it — code, database, interface — and refine as you goA working prototype, then the solution; annotated code; development log
EvaluateTest against the criteria, judge each one, recommend refinementsTest results with evidence, an evaluation, and a list of justified improvements

The phases are iterative, not a straight line: a test result in Evaluate sends you back to Develop, and a user's reaction to a wireframe in Develop can rewrite a requirement from Explore. In the folio, show the loop — a changed decision with its reason is worth more than a first guess that happened to survive.

2.2Prescribed and self-determined criteria

Criteria are the yardsticks the solution is judged by. Two kinds, and the exam expects you to tell them apart:

KindComes fromExample, for the event-booking app
Prescribed criteriaThe task, the client, the syllabus — given to you, non-negotiable"The solution must use a relational database with at least two related tables." "It must be accessible to keyboard-only users."
Self-determined criteriaYou, from your own exploration of the users and the problem — and you must justify each one"A student can book a ticket in no more than four taps, because the current paper form takes six steps and is abandoned at lunch." "A double booking of the same student for the same event is refused."
What makes a criterion usable

It must be measurable (a number, a yes/no, a pass/fail), traceable to a requirement or a user need, and written before you build. "The app is easy to use" is not a criterion. "Three first-time users each complete a booking unaided in under 90 seconds" is — and it tells you exactly which test to run in Evaluate.

2.3Prototyping a web application

Year 11 prototyped on paper. Year 12 prototypes in the browser, because the solution is a web application: HTML for structure, CSS for presentation, JavaScript for behaviour. A prototype is deliberately incomplete — it exists to test one thing. This one tests whether a booking form is understandable and validates its input:

<form id="book">
  <label for="sid">Student ID</label>
  <input id="sid" type="number" min="1" required>

  <label for="ev">Event</label>
  <select id="ev">
    <option value="10">Formal — $85.00</option>
    <option value="11">Film Night — $5.00</option>
    <option value="12">Careers Expo — free</option>
  </select>

  <button type="submit">Book ticket</button>
  <p id="msg" role="status"></p>
</form>

<script>
  const form = document.getElementById("book");
  const msg  = document.getElementById("msg");
  form.addEventListener("submit", function (e) {
    e.preventDefault();                      // stay on the page
    const sid = Number(document.getElementById("sid").value);
    if (!Number.isInteger(sid) || sid < 1) { // type + range check
      msg.textContent = "Student ID must be a whole number of 1 or more.";
      return;
    }
    msg.textContent = "Booking student " + sid + " for event " +
                      document.getElementById("ev").value + "…";
    // next iteration: send this to the server as a POST request
  });
</script>
  • Every input has a label joined to it by for and id — a screen reader reads "Student ID" when the field gets focus. That is the WCAG understandable principle, in one attribute.
  • The message element has role="status", so assistive tools announce it when its text changes. Visible feedback for everyone, spoken feedback for those who need it.
  • The JavaScript does client-side validation and says exactly what is wrong. It does not replace server-side validation — the comment marks where the next iteration goes.
  • Structure, presentation and behaviour stay in their own layers. A CSS rule such as input:invalid { border-color: var(--wrong); } adds the visual cue without touching the logic.

2.4Testing and evaluation, at project scale

Year 11's five-column test table still applies, but a project has more kinds of test and the evaluation is against the criteria, not just the requirements.

KindTestsExample on the booking app
UnitOne function against a hand-calculated resultisValidCode("T12345") returns true; isValidCode("T1234") returns false
BoundaryThe edges of every rangeStudent ID 0, 1, and blank; year level 6, 7, 12, 13
IntegrationTwo parts working togetherSubmitting the form really inserts one TICKET row with the right two foreign keys
UsabilityReal users on real tasks, observed and timedThree students book a ticket unaided; hesitations and errors recorded
AccessibilityAgainst WCAG rulesWhole booking flow completed with the keyboard only; contrast checked with a tool
SecurityHostile inputA Student ID of 1; DROP TABLE Ticket is rejected as not an integer, and the query is parameterised anyway
  1. State the criterion and say whether it was prescribed or self-determined.
  2. Quote the evidence: test ID, input, expected, actual — or the observation from the usability session.
  3. Judge: met, partly met, or not met, and say what "partly" means in numbers.
  4. Recommend a refinement tied to that evidence, and estimate its cost.

2.5The IA2 project: what the folio must show

  • Explore: the problem, the users, the requirements, and the criteria table with prescribed and self-determined criteria separated and justified.
  • Develop: the data model (schema, keys, relationships), the algorithms in pseudocode, the interface designs, the user flow, and the test plan written before coding.
  • Generate: the working solution, with annotated code showing where each algorithm and each validation lives, and a log of decisions changed along the way.
  • Evaluate: every criterion judged with evidence, refinements recommended, and a short reflection on the process itself.
  • The whole thing is judged on communication too: consistent naming, labelled diagrams, and a reader who has never seen your app being able to follow it.
Unit 3QCAA Unit 4 · Topic 1Digital methods for exchanging data

Digital methods for exchanging data

The moment data leaves your program it needs an address, a format, and protection. This unit is how a browser and a server actually talk, what JSON and XML look like on the wire, how encryption and hashing keep the conversation private and honest, and what the law says you may do with what you collect.

3.1Client–server and the HTTP request

CLIENT the browser or the app builds requests, renders replies never talks to the database directly cannot be trusted with secrets SERVER receives the request checks the token, validates input runs the query, builds the reply holds the keys and the secrets DATABASE the only place the data is stored 1 · HTTP REQUEST GET /api/events?year=12 Authorization: Bearer <token> 4 · HTTP RESPONSE 200 OK · Content-Type: application/json {"events":[{"id":10,"title":"Formal"}]} 2 · SQL query 3 · result rows One request, one response. The server is the gatekeeper: everything the client is allowed to see or change passes through its checks first.
Figure 3.1 — a request, and what happens behind itThe client asks; the server decides. An HTTP request carries a method (GET, POST…), a URL naming the resource, headers such as the authorization token, and sometimes a body. The response carries a status code, headers, and a body — here JSON. The database is never exposed to the client, which is why the SQL, the keys and the validation all live on the server.
MethodMeaningBody?Example
GETRead a resource; changes nothingNoGET /api/events/11
POSTCreate a new resourceYes — the new thing, usually JSONPOST /api/tickets with {"studentId":2,"eventId":10}
PUTReplace or update a resourceYesPUT /api/tickets/503 with {"paid":true}
DELETERemove a resourceNoDELETE /api/tickets/506
StatusMeansWhose fault
200 OKDone; the body has what you asked for
201 CreatedYour POST made a new resource
400 Bad RequestThe request was malformed or failed validationClient
401 UnauthorizedNo valid token — you have not proved who you areClient
403 ForbiddenKnown who you are; not allowed to do thisClient
404 Not FoundNo such resourceClient
429 Too Many RequestsYou have hit the rate limit; waitClient
500 Internal Server ErrorThe server crashed handling itServer

A REST API is a web service organised around resources with URLs, using the HTTP methods for their standard meanings and returning a standard format, usually JSON. Each URL that the API answers is an endpoint. REST is stateless: every request carries everything the server needs, including the token, because the server does not remember the previous request.

3.2JSON and XML, side by side

The same two tickets in both formats. JSON is what almost every modern API returns; XML still carries a great deal of institutional and document data, and the exam can hand you either.

{
  "tickets": [
    { "ticketId": 501, "studentId": 1, "eventId": 10, "paid": true  },
    { "ticketId": 503, "studentId": 2, "eventId": 11, "paid": false }
  ]
}
<?xml version="1.0" encoding="UTF-8"?>
<tickets>
  <ticket id="501">
    <studentId>1</studentId>
    <eventId>10</eventId>
    <paid>true</paid>
  </ticket>
  <ticket id="503">
    <studentId>2</studentId>
    <eventId>11</eventId>
    <paid>false</paid>
  </ticket>
</tickets>
JSONXML
Building blocksObjects { } of key–value pairs, arrays [ ], strings, numbers, true/false, nullNested elements with opening and closing tags; attributes on the opening tag
Rules that biteKeys and strings in double quotes; no trailing comma; no commentsEvery tag closed; one root element; case-sensitive; &, < and > must be escaped in text
TypesNumbers and booleans are real types: "paid": trueEverything is text: <paid>true</paid> is a string until you convert it
Size and speedSmaller; parsed natively by JavaScript (JSON.parse)More verbose; needs an XML parser; supports schemas that validate the structure
Read in JavaScriptdata.tickets[1].paid → falseWalk the element tree, or convert to an object first

3.3Data encoding

  • Character encoding maps characters to bytes. ASCII covers 128 characters in 7 bits — English letters, digits, punctuation. UTF-8 extends it to every writing system: ASCII characters still take 1 byte, others 2 to 4. A file saved as one encoding and read as another produces the classic "é" garbage, which is why the XML above declares its encoding on line 1.
  • Base64 turns any bytes — an image, a PDF — into 64 safe text characters so they can travel inside JSON or a URL. Every 3 bytes become 4 characters, so the data grows by about a third. Base64 is encoding, not encryption: anyone can decode it.
  • URL encoding replaces characters that a URL cannot carry: a space becomes %20, an ampersand %26. The query ?title=Film%20Night is "Film Night".
  • Encoding is reversible by anyone and protects nothing. That is the job of the next section.

3.4Encryption, hashing and TLS

Symmetric encryptionAsymmetric encryptionHashing
KeysOne shared secret key encrypts and decryptsA pair: the public key encrypts, only the matching private key decryptsNo key — a fixed function
Reversible?Yes, with the keyYes, with the private keyNo: one-way. You cannot get the input back
Typical algorithmAES (128- or 256-bit key)RSASHA-256 (always 256 bits, 64 hex characters, whatever the input size)
SpeedFast — used for the bulk of the dataSlow — used to exchange the symmetric key and to signFast
The problem it solvesPrivacy, once both sides have the keyGetting the key to the other side safely, and proving identityIntegrity (has this changed?) and password storage
Its weaknessHow do you deliver the key without an eavesdropper getting it?Too slow for large data; you must trust the public key really belongs to the serverSame input always gives the same hash, so common passwords are guessable — hence a salt
CLIENT (browser) SERVER 1 · CLIENT HELLO “I want to talk securely — here are the encryption methods I support” 2 · SERVER HELLO + CERTIFICATE the certificate carries the server’s PUBLIC key, signed by a certificate authority 3 · CHECK THE CERTIFICATE against the browser’s trusted authorities 4 · PRE-MASTER SECRET, encrypted with the server’s PUBLIC key only the server’s PRIVATE key can open it — this is the asymmetric step 5 · COMPUTE SESSION KEY from the shared secret 5 · COMPUTE SESSION KEY the same key, never sent 6 · ALL APPLICATION DATA, both ways encrypted with the SESSION key — symmetric AES, fast, and nobody in between has the key Asymmetric encryption is used once, to share a secret safely. Symmetric encryption then does the heavy lifting. The padlock in the address bar means steps 1 to 5 succeeded. HTTPS is HTTP carried inside this tunnel.
Figure 3.2 — the TLS handshake, at syllabus levelTwo questions the exam asks. Why both kinds of encryption? Because asymmetric is safe to start with (no shared secret needed) but slow, and symmetric is fast but needs a shared secret — so asymmetric delivers the secret and symmetric uses it. Why the certificate? Because a public key on its own proves nothing; the certificate authority's signature is what stops an impostor handing you their public key.
Passwords: hash, salt, never encrypt

A stored password is hashed with a random salt added first, and the salt is stored beside the hash. At login the system hashes what you typed with the same salt and compares. The password itself is never stored, so a stolen database yields hashes that cannot be reversed — and because every user's salt differs, two people with the password password123 get different hashes, and a pre-computed table of common hashes is useless.

3.5Threats and mitigations

ThreatHow it worksMitigation
SQL injectionInput such as 1 OR 1=1 is pasted into a query string and changes its meaningParameterised queries: the value is sent separately from the SQL and can never become code; plus validation
Cross-site scripting (XSS)A user submits <script> in a comment; the page shows it to others and it runs in their browsersEscape everything before it is put on a page (< becomes &lt;); set textContent, not innerHTML
Man-in-the-middleSomeone on the same network reads or alters traffic in transitTLS (HTTPS) everywhere, with a valid certificate
PhishingA fake login page harvests real passwordsMulti-factor authentication, so the password alone is not enough; user education
Brute force / credential stuffingTrying many passwords, or passwords leaked from another siteRate limiting and lockouts; salted hashes; MFA
Denial of service (DoS/DDoS)Flooding the server with requests so real users cannot get throughRate limiting, caching, spreading the load across servers

3.6Privacy: the Australian Privacy Principles

The Privacy Act 1988 (Cth) sets out 13 Australian Privacy Principles (APPs) governing personal information. At syllabus level, these are the ones a design decision turns on:

PrincipleObligationDesign consequence for the booking app
APP 1 Open and transparent managementHave a clear, current privacy policyA privacy page saying what is collected, why, and who sees it
APP 3 Collection of solicited personal informationCollect only what is reasonably necessary for a functionNo date of birth, no home address — a ticket needs neither
APP 5 Notification of collectionTell people, at or before collection, what you collect and whyA one-line notice on the booking form, not buried in a policy
APP 6 Use or disclosureUse it only for the purpose collected, unless consented or required by lawThe ticket list is not passed to a photographer's marketing list
APP 11 SecurityProtect it from misuse, loss and unauthorised access; destroy or de-identify it when no longer neededTLS, hashed passwords, access control, and deleting ticket data after the event
APP 12 / 13 Access and correctionLet people see and correct their own informationA "my bookings" page with an edit option

The design habit that satisfies most of these at once: a field you never collected can never leak, never needs securing, and never needs deleting. Data minimisation is a security control and a privacy control in one decision.

Unit 4QCAA Unit 4 · Topic 2Complex digital data exchange problems

Complex digital data exchange problems

Real data arrives from somewhere else, in someone else's shape, with someone else's mistakes in it. This unit is the discipline of moving it safely from a source to where you need it — and it is the unit the external exam is written on.

4.1Designing a data-exchange solution: source, transformation, sink

SOURCE weather API, CSV export, a web form, a sensor its shape, its mistakes TRANSFORM parse the JSON or XML rename, convert units, remove duplicates VALIDATE type, range, presence reject or flag bad rows count what was rejected SINK your database table, a chart, a file, another API raw data clean rows valid rows rejected rows, each with its reason ERROR LOG Every arrow carries data in a stated shape. Nothing is dropped silently: a rejected row is recorded with the rule it broke.
Figure 4.1 — the pipeline you design in Unit 4Name the source and its format, describe each transformation as a rule you could write in pseudocode, state the validation rules and what happens to a row that fails them, and name the sink and the shape it expects. Marks are lost in the gaps: an unstated unit conversion, a duplicate that was never checked for, a rejected row that vanished without a trace.

A worked case. The Bureau of Meteorology's API returns hourly readings as JSON with temperature in tenths of a degree and a timestamp in UTC. Your sink is a READING table with columns Station, LocalTime, TempC. The transformation rules, written so a marker can check them:

  1. Parse the JSON body into an array of records.
  2. Convert: TempC ← temp_tenths ÷ 10; LocalTime ← utc + 10 hours (AEST, no daylight saving in Queensland).
  3. Rename: station_id → Station. Drop the fields the sink does not have.
  4. De-duplicate: the API sometimes resends the last hour. Keep one row per (Station, LocalTime).
  5. Validate: TempC between −10 and 55; LocalTime not in the future; Station present in the STATION table.
  6. Load the valid rows with INSERT; write the rejected rows and their reasons to the log; record how many of each.

4.2Data integrity and cleaning

Data integrity means the data is accurate, consistent and complete over its whole life. The database enforces part of it; the pipeline must do the rest.

KindRuleEnforced byBroken example
Entity integrityEvery row has a unique, non-null primary keyThe PRIMARY KEY constraintTwo tickets both numbered 503
Referential integrityEvery foreign key points at a row that existsThe FOREIGN KEY constraintA ticket for EventID 99, which is in no EVENT row
Domain integrityEvery value is of the right type and within its allowed setColumn types, CHECK constraints, validationPaid = "maybe"; Price = −5
Consistency across sourcesThe same fact means the same thing everywhereThe transformation rulesOne source in Celsius, one in tenths of a degree, merged without conversion
Cleaning problemLooks likeFix, with the decision stated
Missing valuesAn empty TempC; "N/A"; 999 used as "no reading"Reject the row, or store NULL — never a fake number. Say which and why
DuplicatesThe same reading resent, or the same student typed twice as "Mia" and "mia "Define what makes two rows the same, then keep one
Inconsistent formatDates as 03/04/2026 and 2026-04-03; names in mixed case; trailing spacesNormalise to one format on the way in (ISO dates, trimmed, one case)
Out-of-rangeA temperature of 87 °C; a year level of 0Range check; reject and log
Wrong type"5.00" as text where a number is neededConvert explicitly; reject what will not convert

4.3Working with APIs: keys, limits and failure

  • Most APIs require an API key or token identifying your application, sent in a header. It is a secret: it lives on your server, never in JavaScript sent to a browser, and never in a public repository.
  • A rate limit caps how many requests you may make in a period — say 60 per minute. Exceed it and you get 429 Too Many Requests. Design for it: cache responses you have already fetched, request in batches, and wait before retrying rather than hammering.
  • Every call can fail: the network drops, the server returns 500, the format changes. A pipeline that assumes success is a pipeline that silently loads nothing. Check the status code, handle the failure, log it.
  • Read the documentation for units and formats before writing a single transformation. "temp_tenths" was in the docs; guessing would have loaded 235 °C.
  • Give attribution and respect the terms of use. Data is licensed, like images.
// Fetch one page of readings; retry once on a rate limit
async function fetchReadings(station) {
  const url = "https://api.example.gov.au/readings?station=" + station;
  let res = await fetch(url, { headers: { "Authorization": "Bearer " + KEY } });
  if (res.status === 429) {                 // rate limited: wait, then retry once
    await new Promise(ok => setTimeout(ok, 60000));
    res = await fetch(url, { headers: { "Authorization": "Bearer " + KEY } });
  }
  if (!res.ok) { log("fetch failed", station, res.status); return []; }
  const data = await res.json();            // JSON body → JavaScript object
  return data.readings;                     // an array of records
}

4.4The IA3 project: the folio

  • IA3 is worth 30% — the largest single instrument. It is a data-exchange solution built through the same explore–develop–generate–evaluate process as IA2, but the problem is about moving data between systems, and the folio must show why each design decision was made.
  • Explore: the source system and its format, the sink and its needs, the users, the privacy and security obligations, the criteria.
  • Develop: the pipeline diagram (like figure 4.1, for your data), the transformation rules in pseudocode, the validation rules, the schema of the sink, the security design (where the keys live, what is encrypted, what is hashed).
  • Generate: the working exchange — code that fetches, transforms, validates and loads, with a log.
  • Evaluate: the criteria judged with evidence, including counts — rows received, rows rejected and why, rows loaded — and the impacts: on users, on privacy, on the organisation.

4.5The external examination

Worth 25%, set by QCAA, on Unit 4. It has short-response items (a definition, a calculation, a query, a short justification) and extended-response items that give you a scenario — a data source, a format, a sink, a threat — and ask you to design or evaluate the exchange.

How to answer an extended-response item

Read the scenario twice and list what is given: the source format, the sink's shape, the constraints. Draw the pipeline. Then write in the phase order: what the transformation must do (named rules), what validation is needed (named checks, with what happens on failure), how the data is protected in transit and at rest (name the mechanism, not just "encryption"), and which privacy principle each decision satisfies. Every claim gets a reason. The markers' scheme rewards specific, justified statements — "use TLS so that a token cannot be read on shared Wi-Fi" — and gives nothing for "make it secure".

The ten terms the exam assumes you can define without hesitation

REST API · endpoint · JSON · XML · encoding · symmetric encryption · asymmetric encryption · hash and salt · data integrity · rate limit. If any of them takes you more than one sentence, go back to the section that defines it.

Start hereQCAA EngineeringGeneral · Units 3–4

Now the structure has to stand up.

Four units covering QCAA Engineering Units 3 and 4. Year 11 gave you the tools — stress, moments, equilibrium, gear ratios. Year 12 points them at whole systems: a loaded beam and what is happening inside it, a truss member by member, a material chosen by the numbers, a gearbox designed backwards from the torque it must deliver, and a machine that corrects itself.

The mapUnits 3 and 4, four topics

  1. Unit 3, Topic 1 — Civil structures. Dead, live and wind loads; reactions on beams with several loads and distributed loads; trusses by the method of joints; shear force and bending moment diagrams; columns and buckling.
  2. Unit 3, Topic 2 — Materials science. Stress, strain and extension; ductile against brittle stress–strain curves; hardness, toughness and fatigue; choosing a material with a selection matrix; designing a member with a factor of safety.
  3. Unit 4, Topic 1 — Mechanical machines. Mechanical advantage, velocity ratio and efficiency; compound gear trains, torque and power; screws and screw jacks; linkages and cams; energy and power in machines.
  4. Unit 4, Topic 2 — Control and emerging technologies. Open- and closed-loop control, sensors and actuators, block diagrams and feedback, an automated system case study, and technique for the external examination.
How Year 12 is assessed

Four instruments of equal weight. IA1 Project — folio (25%). IA2 Examination (25%). IA3 Project — folio (25%). External examination (25%), set and marked by QCAA: problem-solving with given data, where the working, the units and the significant figures are marked as well as the answer.

What carries over from Year 11

σ = F ÷ A with 1 MPa = 1 N/mm²; ε = ΔL ÷ L₀; E = σ ÷ ε; W = mg; components F cos θ and F sin θ; M = F × d; ΣF = 0 and ΣM = 0; reactions on a simply supported beam with one load; lever classes; gear ratio = driven ÷ driver; P = 2πNT ÷ 60; efficiency; factor of safety; the failure modes. Assumed here, not re-taught.

Unit 3 · Topic 1EngineeringCivil structures

Civil structures: what is happening inside the beam

Year 11 found the reactions and stopped. A structural engineer keeps going: what force is each member of the truss carrying, and is it pushed or pulled? At which point along the beam is the bending greatest, and by how much? The two diagrams that answer that second question are the centre of this topic.

1.1Loads: dead, live, and wind

LoadWhat it isExamplesHow it is treated
Dead loadThe permanent weight of the structure itself and everything fixed to itSlabs, beams, roof sheeting, fixed partitions, claddingKnown accurately from drawings and material densities; always present
Live load (imposed)Whatever the structure carries that can changePeople, furniture, stored goods, vehicles, a crowd in a grandstandTaken from AS/NZS 1170.1 by building use; the worst credible arrangement is designed for
Wind and environmentalLoads from the environment acting on the structureWind pressure and suction, snow, earthquake, flood, thermal expansionFrom AS/NZS 1170.2 (wind) and related parts; depends on region, height and exposure

A point load acts at one place (a column landing on a beam). A uniformly distributed load (UDL) is spread evenly along a length, in kN per metre — a slab's weight on the beam under it. For finding reactions, a UDL of w kN/m over L metres is replaced by a single force of w × L acting at its midpoint.

1.2Reactions with several loads

12 kN at 3 m from A 6 kN at 8 m from A the beam — self-weight ignored A — pin B — roller R(A) = 9.6 kN R(B) = 8.4 kN 3 m 5 m 2 m 10 m — the span Moments about A: R(B) × 10 = 12 × 3 + 6 × 8 = 36 + 48 = 84, so R(B) = 8.4 kN. ΣF = 0: R(A) = 12 + 6 − 8.4 = 9.6 kN. Check about B: R(A) × 10 = 12 × 7 + 6 × 2 = 84 + 12 = 96, so R(A) = 9.6 kN. It agrees.
Figure 1.1 — free-body diagram with two point loadsEvery support is deleted and replaced by the force it applies; every load is drawn where it acts. The method is unchanged from Year 11 — moments about one support, then ΣF = 0, then check about the other — only now the moment equation has two terms. A pin support can push in any direction; a roller can only push at right angles to its surface, which is why one end of a bridge always sits on rollers: the deck can expand in summer without fighting its supports.
A UDL, worked

A 6 m beam carries a uniformly distributed load of 2 kN/m along its whole length. Total load = 2 × 6 = 12 kN, acting at mid-span (3 m from A). By symmetry, R(A) = R(B) = 6 kN. The maximum bending moment for a UDL on a simply supported span is wL² ÷ 8 = 2 × 36 ÷ 8 = 9 kN·m, at mid-span. Compare: the same 12 kN as a single point load at mid-span would give PL ÷ 4 = 12 × 6 ÷ 4 = 18 kN·m — twice as much. Spreading a load out halves its worst bending, which is why slabs sit on beams and not on posts.

1.3Trusses by the method of joints

A truss is a frame of straight members joined at pins, loaded only at the joints. Each member then carries a force along its own length — pure tension or pure compression, no bending. The method of joints finds those forces one joint at a time: at every pin, ΣFx = 0 and ΣFy = 0, two equations, so start at a joint with no more than two unknown members.

Load 20 kN at C A B C AC: 12.5 kN COMPRESSION BC: 12.5 kN COMPRESSION AB: 7.5 kN — TENSION θ = 53.1° span 6 m, height 4 m sloping members 5 m sin θ = 0.8, cos θ = 0.6 R(A) = 10 kN R(B) = 10 kN JOINT A — METHOD OF JOINTS Known: R(A) = 10 kN upward ΣFy = 0: 10 + F(AC) × 0.8 = 0 → F(AC) = −12.5 kN (compression) ΣFx = 0: F(AB) + F(AC) × 0.6 = 0 → F(AB) = +7.5 kN (tension) Blue members are in COMPRESSION (pushed). The red member is in TENSION (pulled). Sign convention: + tension, − compression. By symmetry each reaction is 20 ÷ 2 = 10 kN. Check at C: 2 × 12.5 × 0.8 = 20 kN, equal to the load.
Figure 1.2 — a three-member truss solved at joint AAssume every unknown member is in tension (pulling away from the joint). A negative answer then means compression, and you never have to guess. At A the reaction pushes up, so AC must push down on the joint — compression — and its horizontal component must be balanced by AB pulling outward — tension. The bottom chord of a simply supported truss is almost always in tension and the top members in compression: the same pattern as a beam, with the material moved to where it works hardest.
  1. Find the reactions for the whole truss first, exactly as for a beam.
  2. Pick a joint with at most two unknown members. A support joint usually qualifies.
  3. Draw that joint's free-body diagram: the known forces, and every member force drawn as tension (away from the joint).
  4. Resolve: ΣFx = 0 and ΣFy = 0. Two equations, two unknowns.
  5. Move to the next joint, carrying the forces you now know. A member in compression pushes on both its joints.
  6. Check at the last joint: everything should balance with nothing left to solve.

1.4Shear force and bending moment diagrams

Reactions tell you what the supports do. To size the beam you need what happens inside it, at every point along its length. Two quantities describe that:

  • Shear force V at a section is the net vertical force on one side of it — the tendency of the beam to be cut across. Convention used here: working from the left, an upward force makes V positive.
  • Bending moment M at a section is the net moment of everything on one side of it about that section — the tendency of the beam to bend. Sagging (the middle drooping) is positive.
  • The two are linked: where V is zero, M is at a maximum. The gradient of the M diagram at any point equals V there.
1 · LOADING DIAGRAM 12 kN at 2 m from A A B R(A) = 8 kN R(B) = 4 kN 2 · SHEAR FORCE DIAGRAM — V (kN) +8 kN −4 kN drops by 12 kN at the load 0 2 6 x along the beam (m) 3 · BENDING MOMENT DIAGRAM — M (kN·m) M max = 8 × 2 = 16 kN·m, under the load 0 2 6 x along the beam (m) Shear: start at +R(A) = 8, drop by 12 at the load to −4, rise by R(B) = 4 back to zero at B — the diagram must close. Moment: zero at both supports; M peaks where V crosses zero. From the right, M max = 4 × 4 = 16 kN·m — same answer.
Figure 1.3 — shear force and bending moment for one point loadWalk along the beam from A. Each upward force steps the shear diagram up, each downward load steps it down, and between loads it is flat. The bending moment at any section is the shear diagram's area up to that point: 8 kN × 2 m = 16 kN·m at the load, then the negative shear brings it back to zero at B. If the diagram does not close to zero at the far end, a reaction is wrong.
Reading the diagrams the way a designer does

The beam must be strong enough for the largest bending moment, 16 kN·m, which occurs under the load — not at the middle. Moving that load to mid-span gives PL ÷ 4 = 12 × 6 ÷ 4 = 18 kN·m, the worst position. The largest shear, 8 kN, is at support A. A deep I-section resists bending because it puts material far from the centre; the web resists the shear. Both diagrams are therefore read before a section is chosen.

1.5Columns and buckling, in words

  • A short, stocky column fails by crushing when the stress reaches the material's compressive strength. A long, slender one fails by buckling — bowing sideways — at a load that can be far lower, while the stress is still well inside the elastic region.
  • The buckling load falls with the square of the effective length: make a column twice as long and it carries about a quarter of the load. That is why long struts are braced at mid-height — bracing halves the effective length and roughly quadruples the capacity.
  • It rises with the material's stiffness E, not its strength, and with how far the section's material sits from its centre. A hollow tube out-buckles a solid rod of the same mass; an I-section beats a flat bar.
  • End conditions matter: fixed ends resist rotation and raise the buckling load; pinned ends lower it.
  • Buckling is sudden and gives no warning — so slender compression members get larger factors of safety than ties.
Unit 3 · Topic 2EngineeringMaterials science

Materials science: choosing by the numbers

Year 11 defined the properties. Year 12 uses them to make decisions: how much a tie will stretch, whether a material will warn you before it fails, how a part survives a million load cycles, which of four candidate materials wins for a footbridge, and how big a member must be to carry its load with a margin.

2.1Stress, strain and extension

Three equations, chained: σ = F ÷ A, ε = σ ÷ E, ΔL = ε × L₀. Combined, the extension of a member under load is ΔL = F × L₀ ÷ (A × E). Keep F in newtons, A in mm², L in mm and E in MPa (N/mm²) and the extension comes out in millimetres.

Worked: an aluminium tieWorkingResult
Area 250 mm², load 35 kN. Stress?σ = 35 000 ÷ 250140 MPa
E for aluminium alloy = 70 GPa = 70 000 MPa. Strain?ε = 140 ÷ 70 0000.002 (0.2%)
Original length 1.5 m = 1500 mm. Extension?ΔL = 0.002 × 15003 mm
Same tie in steel (E = 200 GPa). Extension?ΔL = (140 ÷ 200 000) × 15001.05 mm — steel is nearly three times stiffer
A 16 mm steel rod (A = π × 16² ÷ 4 = 201 mm²) carrying 30 kN. Stress?σ = 30 000 ÷ 201149 MPa — below mild steel's 250 MPa yield

Notice what the aluminium answer means for a structure: a 1.5 m tie stretching 3 mm is fine for a shed and unacceptable for a machine frame holding a bearing in line. Stiffness, not strength, often governs the choice — a part can be nowhere near yielding and still deflect too much to do its job.

2.2Ductile against brittle

Stress σ (MPa) Strain ε (no units) Brittle: fractures here no yield, no plastic region, no warning Yield point permanent set begins Ultimate tensile strength (UTS) the peak — the highest stress carried Fracture after necking the gradient of each straight part = E steeper = stiffer: this brittle material has the higher E Green curve: ductile metal (mild steel). Red line: brittle material (cast iron, glass, concrete in tension). Area under each curve = energy absorbed to fracture = toughness: large for the ductile metal, tiny for the brittle one.
Figure 2.1 — ductile and brittle on the same axesThe brittle material is stiffer (steeper line) and may even be stronger, yet it is the dangerous one: it stores almost no energy and gives no warning. The ductile metal yields, stretches, necks and only then breaks — a sagging beam, a bulging tank, a visible crack. Structural design uses the yield stress of a ductile material as its limit precisely so the structure can never reach the part of the curve where warning has run out. Aluminium alloys have no sharp yield point; their 0.2% proof stress — the stress leaving 0.2% permanent strain — is used instead.
DuctileBrittle
Before fractureYields, then large plastic deformation; necksAlmost none — fails at the end of the straight line
Fracture surfaceCup-and-cone, dull, fibrousFlat, bright, crystalline
ToughnessHigh — large area under the curveLow — small area
Sensitivity to flawsLow: a small scratch is blunted by yieldingHigh: a scratch or notch starts the crack
ExamplesMild steel, copper, aluminium, most polymers when warmCast iron, glass, ceramics, concrete in tension, many polymers when cold
Design consequenceUse for members that must not fail without warning — beams, ties, boltsUse only in compression, or with reinforcement, or with a large factor of safety

2.3Hardness, toughness and fatigue at senior level

  • Hardness (surface resistance to indentation) and toughness (energy to fracture) still trade against each other. Heat-treating a steel to harden the surface of a gear tooth against wear is done case-hardening: a hard skin over a tough core, so the tooth resists scratching yet does not shatter under a shock. One part, two microstructures, chosen on purpose.
  • Fatigue is failure under repeated loading at stresses below yield. An S–N curve plots the stress amplitude S against the number of cycles N to failure: the higher the stress, the fewer cycles survive. Steels show an endurance limit — a stress below which they last indefinitely, roughly 40–50% of the UTS. Aluminium alloys have no endurance limit: at any stress they eventually fail, which is why aircraft structures are given finite lives and inspection schedules.
  • Fatigue cracks start at stress raisers: sharp internal corners, holes, keyways, weld toes, surface scratches, corrosion pits. Design against fatigue is mostly geometry — generous fillet radii, polished surfaces, no sudden changes of section — plus keeping the stress amplitude under the endurance limit.
  • A fatigue fracture surface tells its own story: smooth "beach marks" where the crack grew cycle by cycle, then a rough final region where the remaining section snapped. Investigators read failures from these.

2.4Selecting a material for a structure

A selection matrix turns an argument into arithmetic: list the criteria, weight them by importance, score each candidate, multiply and add. Worked for the main beams of a 20 m pedestrian footbridge in a coastal town:

Criterion (weight)Structural steelAluminium alloyGlulam timberReinforced concrete
Strength-to-weight (3)4 × 3 = 125 × 3 = 153 × 3 = 92 × 3 = 6
Stiffness — deflection under a crowd (3)5 × 3 = 153 × 3 = 93 × 3 = 94 × 3 = 12
Corrosion resistance, salt air (2)2 × 2 = 45 × 2 = 103 × 2 = 63 × 2 = 6
Cost, supplied and installed (2)4 × 2 = 82 × 2 = 44 × 2 = 83 × 2 = 6
Embodied energy and end of life (1)3 × 1 = 32 × 1 = 25 × 1 = 52 × 1 = 2
Total (max 55)42403732
  • Steel wins on stiffness and cost, but its corrosion score is what the coastal site punishes — the decision then depends on whether galvanising or a paint system (an added cost and a maintenance schedule) is acceptable. The matrix does not end the argument; it shows exactly where the argument is.
  • The weights are the client's priorities, decided before scoring. Changing them afterwards to get the answer you wanted is the classic folio error, and markers look for it.
  • A criterion can also be a gate: a material that fails a must-have (say, non-combustible) is eliminated before scoring, however well it would score elsewhere.

2.5Designing a member with a factor of safety

Year 11 calculated a factor of safety. Year 12 designs with one: choose the material, apply the factor to get an allowable stress, and size the member so its working stress stays under it.

Worked: a mild-steel tie for 60 kNWorkingResult
Yield strength 250 MPa, required FoS 2 on yield. Allowable stress?250 ÷ 2125 MPa
Minimum cross-sectional area?A = F ÷ σ = 60 000 ÷ 125480 mm²
Diameter of a round bar with that area?d = √(4A ÷ π) = √(1920 ÷ 3.1416) = √611.224.7 mm → specify 25 mm
Actual FoS with the 25 mm bar (A = 491 mm²)?σ = 60 000 ÷ 491 = 122 MPa; FoS = 250 ÷ 1222.05 — just over the required 2
Round the right way

The calculated 24.7 mm is a minimum. Rounding down to 24 mm would give an area of 452 mm², a stress of 133 MPa and a factor of safety of 1.88 — below what was specified. Always round a required size up to the next available stock size, then recalculate the actual factor of safety and state it. That last line is where the mark is.

  • Apply the factor to yield for ductile materials (permanent deformation is the failure) and to the ultimate strength for brittle ones (there is no yield to use). Say which you used.
  • Typical values: 1.5–2 for well-known static loads on ductile materials; 3–4 where loads are uncertain or shock; 4 or more for brittle materials, buckling, and anything whose failure would injure people.
  • A factor of safety covers what the calculation could not know. It does not excuse a wrong calculation.
Unit 4 · Topic 1EngineeringMechanical machines

Mechanical machines: designed from the output backwards

Year 11 asked what a machine does. Year 12 asks what machine you need: given the torque a conveyor must deliver and the motor you can buy, what gear train joins them? Given a 20 kN car and a person's arm, what screw jack lifts it? The answers come from three ratios and one conservation law.

3.1Mechanical advantage, velocity ratio and efficiency

QuantityDefinitionWhat it depends on
Mechanical advantage MAload ÷ effortMeasured on the real machine; friction reduces it
Velocity ratio VRdistance moved by effort ÷ distance moved by load, in the same timeGeometry only — arm lengths, tooth counts, rope sections, thread lead. Friction cannot change it
Efficiency ηuseful work out ÷ work in × 100% = MA ÷ VR × 100%Friction, and nothing else. For an ideal machine MA = VR and η = 100%

Worked: an effort of 250 N moves 2 m while the 1000 N load rises 0.4 m. VR = 2 ÷ 0.4 = 5. MA = 1000 ÷ 250 = 4. Efficiency = 4 ÷ 5 × 100 = 80%. Check with work: in = 250 × 2 = 500 J, out = 1000 × 0.4 = 400 J, 400 ÷ 500 = 80% — the same number by both routes, as it must be.

3.2Levers and pulleys, one step further

  • Levers and pulleys keep the Year 11 rules. What is added is compounding: two class 1 levers in series multiply their advantages, exactly as gear stages do. A pair of bolt cutters is two lever pairs — handle to pivot 6 : 1, then jaw link 4 : 1 — for an overall ideal MA of 24. Hand force 150 N becomes 3.6 kN at the blade.
  • A pulley system's VR is the number of rope sections supporting the moving block; its MA is what you measure. A 4-section block and tackle with 85% efficiency has MA = 0.85 × 4 = 3.4, so lifting 1200 N takes 1200 ÷ 3.4 = 353 N of effort, and 4 m of rope per metre of lift.
  • Both are reversible: let go and the load runs back down. Machines with a low efficiency, like a screw jack, are often self-locking — friction holds the load when the effort is removed. Inefficiency, in that one case, is the feature you are paying for.

3.3Compound gear trains, torque and power

A B C D A · 12 teeth B · 36 teeth C · 20 teeth D · 50 teeth INPUT 1500 rpm SHAFT 2 — B and C turn together OUTPUT 200 rpm COMPOUND GEAR TRAIN Stage 1: A (12 T) drives B (36 T) ratio = 36 ÷ 12 = 3 : 1 Stage 2: C (20 T) drives D (50 T) ratio = 50 ÷ 20 = 2.5 : 1 Overall = 3 × 2.5 = 7.5 : 1 Output speed = 1500 ÷ 7.5 = 200 rpm Shaft 2 speed = 1500 ÷ 3 = 500 rpm Output torque = input × 7.5 (ideal) with 90% efficiency: × 7.5 × 0.9 = × 6.75 Direction reverses at each mesh: A clockwise → B, C anticlockwise → D clockwise Side view: each rectangle is a gear seen edge-on, its height proportional to its tooth count (12 : 36 : 20 : 50). Horizontal lines are shafts. Green dots mark where teeth mesh; B and C share shaft 2, so they turn at the same speed.
Figure 3.1 — a 7.5 : 1 compound trainTwo gears on one shaft turn together, so a compound train multiplies its stage ratios: 3 × 2.5 = 7.5. A single pair would need 12 teeth against 90 — a gear too large to fit. Compounding gets a big reduction into a small box, which is what every gearbox, winch and drill chuck is doing. Speed falls by the ratio; torque rises by the ratio times the efficiency; power only ever falls.
Worked: a conveyor driveWorkingResult
A 2 kW motor runs at 1500 rpm. Its torque? Rearrange P = 2πNT ÷ 60.T = 60P ÷ (2πN) = 120 000 ÷ (2π × 1500) = 120 000 ÷ 942512.7 N·m
Through the 7.5 : 1 train above, ideal output torque?12.7 × 7.595.5 N·m at 200 rpm
With the gearbox 90% efficient?95.5 × 0.9086 N·m; output power 1.8 kW
The conveyor needs 120 N·m. Ratio required from this motor at 90%?120 ÷ (12.7 × 0.90) = 120 ÷ 11.410.5 : 1 — so 7.5 is not enough; add a stage or choose a bigger motor

3.4Screws and the screw jack

A screw thread is an inclined plane wrapped around a cylinder. One turn of the effort moves the load forward by one lead (the pitch, for a single-start thread). If the effort is applied at a handle of radius R, it travels 2πR per turn, so VR = 2πR ÷ lead.

Worked: a screw jack lifting a 20 kN carWorkingResult
Handle radius 300 mm, thread lead 5 mm. VR?2π × 300 ÷ 5 = 1885 ÷ 5377
Efficiency 30% (screws are friction-heavy). MA?0.30 × 377113
Effort needed at the handle?20 000 ÷ 113177 N — one arm
Handle travel to lift the car 100 mm?100 × 37737.7 m of handle movement, 20 turns

The 30% efficiency looks terrible and is the point: below about 50% a screw is self-locking, so the car stays up when you let go. A ball screw in a machine tool runs at 90% efficiency and must be braked, because it will back-drive under load.

3.5Linkages and cams

MechanismConvertsWhere you meet it
Four-bar linkageOne rotation or swing into another, with the coupler tracing a designed pathWindscreen wipers, bicycle rear suspension, excavator arms, the human knee joint
Crank and sliderRotation into reciprocating straight-line motion, or backPiston engines and pumps — the crankshaft and connecting rod
Cam and followerRotation into a precisely timed rise, dwell and fall of the followerEngine valves; the profile is the timing, drawn on a displacement diagram
Rack and pinionRotation into linear motion at constant ratio: one pinion turn moves the rack by one pitch circumferenceCar steering, sliding gates, lathe carriages
Worm and wheelRotation at right angles with a very large reduction; usually self-lockingWinches, tuning pegs, hoists that must not run back
Ratchet and pawlAllows rotation in one direction onlySocket wrenches, bicycle freewheels, cable ties

A cam's displacement diagram plots follower height against cam angle over one revolution: a rise, a dwell (the flat, where nothing moves) and a fall. Read the diagram and you can build the cam; read the cam and you can predict the timing. A worm and wheel with a single-start worm driving a 40-tooth wheel has a ratio of 40 : 1 in a single stage — the worm behaves as a one-tooth gear.

3.6Energy and power in machines

  • Work W = F × d, in joules. Power P = W ÷ t, in watts. Lifting is work against gravity: W = m g h.
  • Worked: a hoist lifts 500 kg through 12 m in 20 s. W = 500 × 9.8 × 12 = 58 800 J. Useful power = 58 800 ÷ 20 = 2940 W. If the hoist is 75% efficient, the motor must supply 2940 ÷ 0.75 = 3920 W — choose a 4 kW motor. The missing 980 W is heat in the gearbox and brake.
  • Energy is stored on the way: kinetic KE = ½ m v², gravitational potential PE = m g h. A flywheel stores KE to smooth a piston engine; a counterweight stores PE so a lift motor only ever moves the difference between car and weight.
  • No machine gains energy. Every chain of stages multiplies its efficiencies: a 90% gearbox driving an 85% belt drive delivers 0.90 × 0.85 = 76.5% of the motor's power to the load.
Unit 4 · Topic 2EngineeringControl and emerging technologies

Control systems: machines that correct themselves

A machine that measures its own output and adjusts is doing something no lever can: closing the loop. This topic is the vocabulary and the block diagram of control, one automated system worked end to end, and the exam technique that turns correct engineering into full marks.

4.1Open-loop and closed-loop control

Open loopClosed loop
What it doesRuns the actuator according to the input, with no idea what actually happenedMeasures the output, compares it with the setpoint and acts on the difference
NeedsA controller and an actuatorAlso a sensor and a feedback path to a comparator
ExamplesA toaster on a timer; a garden sprinkler on a clock; a microwave; a conveyor set to one speedA thermostat; cruise control; a cistern float valve; a drone holding altitude; a 3D printer's heated bed
StrengthSimple, cheap, cannot oscillateCopes with disturbances — a cold day, a hill, a leak
WeaknessBlind: the toast burns if the bread is thin, the lawn floods if it rainsMore parts; a bad sensor gives a confident wrong answer; can overshoot and oscillate if tuned badly

4.2Sensors and actuators

A sensor converts a physical quantity into a signal the controller can read. An actuator converts the controller's signal into a physical action. The controller is the decision in between — a thermostat's bimetal strip, a microcontroller's program, a PLC in a factory.

Sensors (measure)QuantityActuators (act)Action
Thermistor, thermocoupleTemperatureDC motor, stepper motorRotation — continuous or in exact steps
Limit switch, reed switchPosition reached, yes or noSolenoidA short linear push or pull; opens a valve or latch
Potentiometer, encoderAngle or position, continuouslyPneumatic or hydraulic cylinderLinear force — pneumatic for speed, hydraulic for very large forces
Light-dependent resistor, photodiodeLight levelServo motorRotation to a commanded angle, with its own internal feedback
Strain gauge, load cellForce, weightRelay, heater, lampSwitching a large current from a small signal
Ultrasonic, infraredDistancePump, fanMoving fluid or air

4.3The block diagram and feedback

SETPOINT 25 °C wanted + COMPARE error CONTROLLER decides: open or close signal ACTUATOR vent motor opens PROCESS greenhouse air OUTPUT actual °C sampled here SENSOR thermistor measures °C FEEDBACK — the measured temperature Negative feedback: the measured value is subtracted from the setpoint and the controller acts on the difference — the error. Remove the sensor and the return path and this becomes open loop: the vent runs on a timer, blind to the actual temperature.
Figure 4.1 — the closed-loop block diagramEvery closed loop has these five blocks and one junction. The comparator forms error = setpoint − measured value; the controller decides what to do about it; the actuator does it; the process responds; the sensor reports back. Because the measurement is subtracted, an output above the setpoint produces a negative error and the controller acts to bring it down — negative feedback, the mechanism that makes the loop stable.
  • On–off control: the actuator is fully on when the error is positive, fully off when negative. Simple, but the output hunts around the setpoint; a deadband (switch on at 26 °C, off at 24 °C) stops the vent motor chattering.
  • Proportional control: the action is in proportion to the error — the vent opens a little for a small error and wide for a large one. Smoother, but with a small steady error left over; more advanced controllers add terms to remove it.
  • Lag is the enemy: if the sensor is far from the vent, the air it measures changes long after the vent moves, and the controller over-corrects. Sensor placement is a design decision, not an afterthought.
  • Every automated system needs a fail-safe state: what happens when the sensor fails or power drops. For a greenhouse in Queensland, the vent should fail open.

4.4Case study: an automated greenhouse

  1. Requirement. Keep the air between 22 and 28 °C and the soil moisture above 40%, unattended for a week, on a site with mains power and occasional outages.
  2. Sensors. Two thermistors (one at plant height, one near the roof, averaged, so neither a sunny patch nor the vent draught misleads the controller); a capacitive soil-moisture probe in each bed.
  3. Actuators. A 12 V linear actuator on the roof vent (rack-and-pinion drive); a solenoid valve on the irrigation line; a 24 V fan as a second stage if the vent alone cannot hold 28 °C.
  4. Controller. A microcontroller reading every sensor every 30 s. Temperature: proportional control of the vent, fan on above 28. Moisture: on–off with a deadband (water at 40%, stop at 55%) and a maximum run time so a failed probe cannot flood the bed.
  5. Fail-safe. The vent actuator is spring-return, so it opens when power is lost; the valve is normally closed, so it shuts. Both defaults chosen because overheating and flooding are the two ways to lose the crop.
  6. Evaluation. Logged data over a week: temperature held within 22–28 for 97% of the time; the 3% was a 40 °C afternoon where the fan stage ran flat out. The recommendation is shade cloth, not a bigger fan: cheaper and no power.
Emerging technologies, in the same vocabulary

An industrial robot is a set of closed loops — one per joint, an encoder feeding back each angle — under a controller that plans the path. A 3D printer closes loops on bed and nozzle temperature and runs its axes open-loop on stepper motors, which is why a skipped step ruins a print. Internet-of-things sensors move the feedback path onto a network: the loop still needs to close, and now lag includes the network. A drone holding altitude is a barometer, an accelerometer and four motors in a loop that closes hundreds of times a second. New hardware, the same diagram.

4.5Technique for the external examination

The exam gives you data and expects a defended answer. Markers award working, units and rounding separately from the final number, so a correct answer with no method loses most of its marks and a wrong answer with sound method keeps most of them.

  1. List what is given, with units, and convert at the start: kN to N, mm to m or m to mm, rpm stays rpm. Write g = 9.8 m s⁻² if you use it.
  2. Draw the free-body diagram, the joint, or the block diagram. A labelled sketch is marked.
  3. Write the equation in symbols first (ΣMA = 0; σ = F ÷ A; T = 60P ÷ 2πN), then substitute numbers with their units.
  4. Keep full precision through the working; round only the final answer.
  5. Significant figures: give the answer to the precision of the least precise data, usually 3 s.f. 12.732 N·m becomes 12.7 N·m; 176.8 N becomes 177 N. Never 12.73205.
  6. State the answer with its unit and a one-line sense check: "9.6 kN at A, larger than B because the heavier load is nearer A".
  7. For "explain" and "justify" items, the pattern is claim → reason → consequence: "Use a roller at B because the deck expands in summer, so the support cannot be pushed over."
A full-mark short response

A 2 kW motor turns at 1500 rpm. Find its torque.
Given: P = 2000 W, N = 1500 rpm. P = 2πNT ÷ 60, so T = 60P ÷ (2πN) = (60 × 2000) ÷ (2π × 1500) = 120 000 ÷ 9424.8 = 12.73 N·m. T = 12.7 N·m (3 s.f.). Sense check: small motor, modest torque — a gearbox will be needed for any conveyor.

Start hereQCAA ICTApplied · Units 3–4

Build it, ship it, hand it over.

Four units covering QCAA Information & Communication Technology Units 3 and 4. Year 11 taught you how the machine, the network and the file formats work. Year 12 is about producing things for other people: a website that works on a phone, images and animation that are built properly, video that plays everywhere, and a project that a real client signs off on.

The mapFour units, four modules

  1. Web design and developmentUnit 3. HTML structure, CSS and the box model, responsive layout with media queries, accessibility and usability you can actually check, planning a small site for a client, and testing it across devices.
  2. Digital imaging and animationUnit 3. Bit depth and colour modes, layers and masks, master files versus exports, and the principles of animation: keyframes, timing, spacing and easing, from a storyboard to a rendered clip.
  3. Audio and video productionUnit 4. Frame rate, resolution, bit depth and sample rate; the editing workflow; codecs and containers; exporting for the web; and the copyright rules that apply to music and footage.
  4. Working with clients: the ICT project cycleUnit 4. Brief, scope, milestones, documentation, user testing, evaluation, presenting to a client — and exactly how the four Applied assessments are judged.
How Units 3–4 are assessed

There is no external exam. Over Units 3 and 4 you complete four assessment instruments — projects (a product plus its documentation) and extended responses — and your teacher marks them against the syllabus standards. A result of C or better across the four units contributes 4 credits towards your QCE. The mock exam on this site is practice for the knowledge those instruments draw on, not a copy of one.

Unit 1QCAA Unit 3Web design and development

Web design and development

A web page is three separate things pretending to be one: HTML says what each part is, CSS says how it looks, and the browser lays it out for whatever screen it is on. Keep the three apart and a site is easy to change; mix them and every edit breaks something else.

1.1What a page is made of: HTML structure

HTML is a set of elements, each an opening tag, some content and a closing tag. The browser does not care about your spacing or line breaks; it cares that every element is closed and correctly nested. This is a complete, valid page:

<!DOCTYPE html>
<html lang="en-AU">
<head>
  <meta charset="utf-8">
  <meta name="viewport" content="width=device-width, initial-scale=1">
  <title>Riverside Netball Club</title>
  <link rel="stylesheet" href="styles.css">
</head>
<body>
  <header>
    <h1>Riverside Netball Club</h1>
  </header>
  <nav aria-label="Main">
    <a href="index.html">Home</a>
    <a href="fixtures.html">Fixtures</a>
    <a href="contact.html">Contact</a>
  </nav>
  <main>
    <h2>This week's fixtures</h2>
    <p>Saturday 9 am at the Riverside courts.</p>
    <img src="courts.jpg" alt="The four outdoor courts at Riverside, seen from the clubhouse">
  </main>
  <footer>
    <p>&copy; 2026 Riverside Netball Club</p>
  </footer>
</body>
</html>
THE ANATOMY OF A PAGE — semantic elements <header> — the site name and logo <nav> — the menu, the same on every page <main> — this page's own content one per page; the h1 for the page lives here paragraphs, images, forms, tables <aside> related links, a sponsor box <footer> — contact details, copyright Why not just <div> everything? A div says nothing about its content. A semantic tag tells three readers what the block is: the browser, a search engine, and a screen reader, which can jump straight to <main> or <nav>. Headings are an outline One h1 per page, then h2 for each section, h3 inside those. Never pick a heading level because of its size — size is CSS's job. The boxes are the CSS's job too HTML gives the order; CSS decides that main and aside sit side by side here.
Figure 1.1 — a page as nested boxesEvery element is a box inside another box, and the semantic elements name what each box is for. That is not decoration: a screen reader can skip straight to <main>, a search engine weights the <h1>, and the <nav> is announced as navigation. The order of the HTML is the order a screen reader reads, so put the content in a sensible reading order first and let CSS move it around visually.
  • <!DOCTYPE html> tells the browser to use modern standards mode. Leave it out and old, inconsistent layout rules apply.
  • lang="en-AU" sets the language for spell-checking, hyphenation and the voice a screen reader chooses. The charset line stops accented characters turning into rubbish.
  • <head> holds things about the page — the title shown in the tab, the stylesheet link, the viewport setting. Nothing in it is drawn on the page.
  • An <a href> is a link. A relative address such as fixtures.html points to a file next to this one; an absolute address such as https://example.org/ works from anywhere. Use relative links inside your own site, so the whole folder can be moved or uploaded without every link breaking.
  • Every <img> needs an alt attribute: a description if the image carries meaning, and alt="" (empty) if it is purely decorative.

1.2CSS: selectors and the box model

A CSS rule is a selector (which elements), then declarations of property: value. The stylesheet lives in its own file, linked once from every page, so one change restyles the whole site.

/* styles.css */
body {
  font-family: Arial, Helvetica, sans-serif;
  font-size: 18px;
  line-height: 1.5;
  margin: 0;
  color: #1B1B1B;
  background: #FFFFFF;
}
header {
  background: #1E5B45;   /* club green */
  color: #FFFFFF;
  padding: 16px 24px;
}
nav a {
  display: inline-block;
  padding: 12px 16px;    /* a big enough touch target */
  color: #1E5B45;
  text-decoration: none;
}
nav a:hover, nav a:focus { text-decoration: underline; }
.card {
  border: 1px solid #CCCCCC;
  border-radius: 8px;
  padding: 16px;
  margin: 0 0 16px;
}
img { max-width: 100%; height: auto; }
SelectorMatchesExample
ElementpEvery element of that typep { margin: 0 0 12px; }
Class.cardAnything given class="card", as many times as you likeReusable components: cards, buttons, alerts
ID#bookingThe one element with id="booking" — an id must be unique on the pageA jump-link target; rarely needed for styling
Descendantnav aLinks that are inside the nav, and nowhere elseStyling the menu without touching links in the text
Statea:hover, a:focusThe element while the mouse is over it, or while it has keyboard focusAlways style focus as well as hover: keyboard users need to see where they are

Every element is a box built from four layers: the content, the padding inside the border, the border, and the margin outside it that keeps neighbours away. By default width sets only the content, so a 300 px box with 16 px padding and a 1 px border is really 334 px wide. Most stylesheets start with * { box-sizing: border-box; } so that width means the whole visible box — which is what everyone assumes it means anyway.

1.3Responsive layout

Most of your visitors will arrive on a phone. A responsive site is one set of HTML that rearranges itself for the screen it is on. Three things make it work, and they are all in the code above and below: the viewport meta tag (otherwise a phone pretends to be 980 px wide and shrinks the page), fluid images (max-width: 100%), and a media query that switches the layout at a chosen width.

/* Mobile first: one column, nothing to do */
.columns { display: grid; gap: 16px; }

/* At 700px and wider, three equal columns */
@media (min-width: 700px) {
  .columns { grid-template-columns: repeat(3, minmax(0, 1fr)); }
}
DESKTOP — 700 px OR WIDER header block 1 block 2 block 3 footer the media query is true, so .columns becomes a three-column grid below 700 px the grid rule is off PHONE — NARROWER THAN 700 px header block 1 block 2 block 3 footer same HTML, one column Nothing is duplicated: one HTML file, one stylesheet, and the browser picks the rule that fits its width.
Figure 1.2 — one page, two widthsThe HTML is identical on both screens. The phone simply never meets the condition min-width: 700px, so the grid rule inside the media query does not apply and the blocks fall into their natural order, one above the other. Writing the phone layout first and adding rules for wider screens is called mobile first; it keeps the simplest layout as the default and it is the order the syllabus expects you to justify.
  • The width at which the layout switches is a breakpoint. Choose it where your content stops fitting, not from a list of phone models — there are hundreds of screen sizes and next year's are different.
  • Use relative units where you can: percentages and rem scale with the screen and the user's font setting; a fixed width: 960px is exactly what breaks on a phone.
  • The commonest responsive fault: a wide table, a long unbroken address, or a fixed-width image forces a horizontal scroll at phone width. Test at 375 px and look for it.

1.4Accessibility and usability you can check

Accessibility means people with a disability can use the site — and it is a legal expectation in Australia, not a nicety. The checks below come from the international web accessibility guidelines, in plain words. Each one is testable, which is what makes it a mark.

CheckRuleHow to test it
ContrastBody text at least 4.5:1 against its background; large headings at least 3:1Paste the two colours into a contrast checker; light grey on white fails
ImagesMeaningful images have descriptive alt text; decorative ones have alt=""Turn images off, or read the page with a screen reader; is anything lost?
HeadingsOne h1; levels in order, never skipping from h1 to h4 for the lookList the headings alone — do they make sense as an outline?
KeyboardEverything reachable with Tab and Enter, in a sensible order, with a visible focus ringUnplug the mouse and use the site
FormsEvery input has a <label> tied to it; errors say what went wrong and whereClick the label text: the cursor should land in the field
LinksLink text says where it goes: "View the fixtures", never "click here"Read only the links out loud — do they make sense alone?
ColourNever the only way meaning is shown — "required fields are in red" failsView the page in greyscale
TouchButtons and links big enough for a finger, roughly 44 × 44 px, with space between themUse it on a phone with a thumb
VideoCaptions for speech; a transcript for audioWatch it muted — can you follow it?

Usability is the wider question of whether anyone can get things done without effort: the menu is in the same place on every page, the most wanted thing (fixtures, opening hours, a phone number) is one tap from the home page, pages load in a couple of seconds on mobile data, and the text is written for the reader, not the club committee. Accessibility fixes usually improve usability for everyone — captions help in a noisy bus, and big touch targets help everybody with cold hands.

1.5Planning a small site for a client, and testing it

  1. Purpose and audience first. What must a visitor be able to do? For a sports club: find fixtures, find the venue, contact someone, join. Every page earns its place by serving one of those.
  2. Site map. A simple tree of pages: Home, Fixtures, About, Contact. Five to seven pages is plenty; a page nobody will maintain is a page that will be wrong by next season.
  3. Content before layout. Get the real text, images and the logo from the client early. Placeholder text hides problems: a real fixture table is wider than "lorem ipsum" ever is.
  4. Wireframes. Boxes and labels, no colour, one per page type, drawn for phone and desktop. The client can say "the phone number should be higher" now, cheaply.
  5. Build from a shared stylesheet and a shared template, so every page matches. Validate the HTML with the W3C validator — an unclosed tag renders differently in different browsers.
  6. Test across devices. A real phone and a real tablet, not only the browser's device emulator; at least two browsers; a slow connection; keyboard only; a screen reader for at least one page. Record every fault in a test log: what, where, on which device, fixed on which date.
Justify, do not just do

An Applied project is marked on the documentation as much as the site. "I used a media query at 700 px" earns little. "The fixture table stopped fitting below about 700 px on the iPad in portrait, so I set the breakpoint there and the table becomes a scrolling block" earns the mark, because it links the decision to the evidence.

Unit 2QCAA Unit 3Digital imaging and animation

Digital imaging and animation

Year 11 settled raster versus vector and JPEG versus PNG. This unit goes inside the file: what a pixel actually stores, how layers and masks let you edit without destroying anything, which file is the master and which is a copy — and then how a sequence of images becomes movement that feels alive.

2.1Pixels, bit depth and colour modes

A raster image is a grid of pixels, and each pixel is a number. Bit depth is how many bits store that number, which fixes how many different values it can hold: 2bits. Eight bits give 28 = 256 values. Three channels of eight bits give 224 = 16,777,216 colours — "16.7 million colour" or "24-bit" RGB.

Colour modePer pixelCan showUsed for
Bitmap (1-bit)1 bit2 values: black or whiteLine art for a laser cutter; fax; tiny files
Greyscale8 bits256 shades of greyBlack-and-white photography, masks
Indexed colour8 bits256 colours chosen from a palette stored in the fileGIF and PNG-8: flat logos and icons, small files
RGB, 8 bits per channel24 bits16.7 million coloursEverything for screens: photographs, web images
RGB with alpha32 bits16.7 million colours plus 256 levels of transparencyPNG-24 with a transparent background; layers in an editor
RGB, 16 bits per channel48 bitsBillions of colours — smoother edits, no banding in skiesThe master file while editing, before exporting to 8-bit
CMYK32 bitsFour ink channelsOnly for commercial print; convert at the very end
  • The alpha channel is a fourth number per pixel: how opaque it is. Without it a logo cannot sit on a coloured background without a white box around it. JPEG has no alpha channel; PNG and WebP do.
  • Uncompressed size still follows the Year 11 arithmetic: pixels × bytes per pixel. A 3000 × 2000 photo at 3 bytes per pixel is 18,000,000 bytes, 18 MB, before any compression.
  • Banding — visible steps in a smooth gradient — is what 8-bit editing produces when you push brightness or colour a long way. Edit in 16-bit, export in 8-bit.

2.2Layers, masks and non-destructive editing

THE LAYER STACK — editing without destroying anything 4  Text layer — the caption still editable text; re-type it any time 3  Adjustment layer — brightness changes everything below it; the photo pixels are untouched, so it can be undone 2  Photo layer, with a mask the pixels of the photograph itself 1  Background layer — locked the original, kept exactly as imported Layer mask white shows, black hides Read from the top down: whatever is higher covers whatever is lower, unless it is transparent there.
Figure 2.1 — a stack of transparent sheetsEach layer is a separate image on a transparent sheet, and the picture you see is the stack looked at from above. A layer mask hides parts of its layer without deleting them — paint black to hide, white to reveal, grey for partly — so a cut-out can be corrected next week. An adjustment layer applies a change (brightness, colour, contrast) to everything beneath it while leaving those pixels untouched. This is non-destructive editing: every decision can be undone or changed later, because nothing was ever painted over.
ToolWhat it doesDestructive or not?
EraserDeletes pixels from the layerDestructive — use a mask instead
Layer maskHides or shows parts of a layer with black, white and greyNon-destructive — repaint the mask any time
Adjustment layerBrightness, levels, hue and saturation applied to all layers belowNon-destructive — the settings stay editable
Image > Adjust applied directlyThe same change baked into the pixelsDestructive — only undo can reverse it, and only today
Opacity and blend modeHow a layer combines with those below: 50% opacity, multiply, screenNon-destructive
Resize the imageResamples every pixelDestructive — and enlarging invents detail that was never there. Keep the full-size master
Selection (marquee, lasso, magic wand, pen)Chooses which pixels an operation affectsNeither — a selection is a choice, not an edit. Turn it into a mask to keep it

2.3Master files and exports

  • The master is the layered, full-resolution, 16-bit file in the editor's own format — PSD, XCF, .afphoto. It is never uploaded anywhere and never overwritten by an export.
  • Every delivered image is an export from the master: flattened, resized to the size actually needed, converted to 8-bit, and compressed for its destination. Need a change? Edit the master and export again.
  • Web: JPEG for photographs at quality 70–85 (above that the file grows fast and the eye sees nothing); PNG-24 where transparency or sharp edges matter; WebP does both jobs at smaller sizes and every current browser supports it; SVG for anything that began as vector.
  • Print: TIFF or a print-ready PDF at 300 ppi, converted to CMYK only if the printer asks for it.
  • Size for the destination: a 4000-pixel photo displayed 800 pixels wide downloads twenty-five times more data than it shows. Export at the size it will be seen, or at twice that for high-density screens.
The exam version

"The client wants the edited team photo for the website and for a printed A3 poster. What do you supply and why?" Two exports from one master: a JPEG at about 1600 px wide, quality 80, for the web page; and a 300 ppi TIFF or PDF at full resolution for the printer. Never the master itself, and never a re-saved JPEG of a JPEG.

2.4Principles of animation

Animation is a sequence of still frames shown fast enough that the eye reads movement: 24 frames per second for film, 25 for Australian television, and often 12 drawn frames shown twice each ("on twos") for hand-drawn work. Five seconds at 24 fps is 5 × 24 = 120 frames. Nobody draws them all.

PrincipleMeaningWhat it looks like
KeyframesThe frames that define a movement: where it starts, where it ends, the extreme poses in betweenYou set the ball at the top of its bounce and at the floor; the software fills the rest
In-betweens (tweening)The frames between keyframes — drawn by an assistant in the old days, calculated by the software nowPosition, size, rotation and opacity can all be tweened
TimingHow many frames a movement takesA door closing in 6 frames slams; in 30 frames it drifts
SpacingHow the in-betweens are distributed between the keyframesEven spacing reads as mechanical; bunched at the ends reads as weight
EasingSpacing done for you: ease-in starts slowly, ease-out slows into the stop, ease-in-out does bothAlmost every real movement eases; only machines move linearly
Squash and stretchThings deform as they move and stop, keeping the same volumeA ball flattens on the floor and stretches as it leaves
AnticipationA small movement in the opposite direction before the main oneA crouch before a jump; a wind-up before a throw
Follow-throughParts keep moving after the body stopsHair, a cape, a ponytail settling a few frames late
ArcsNatural movement follows curves, not straight linesA thrown ball, a turning head, a swinging arm
SPACING — the same move, the same 13 frames, two different feelings LINEAR — even spacing keyframe 1 eleven in-betweens at equal gaps: constant speed, mechanical keyframe 2 EASE IN AND OUT — bunched at the ends keyframe 1 the same eleven, crowded near each keyframe: slow to start, fast through the middle, slow to stop keyframe 2 Each dot is where the object sits on one frame. Same distance, same duration — only the spacing differs, and that is what reads as weight.
Figure 2.2 — timing is how long, spacing is how it is shared outBoth tracks cover the same distance in the same thirteen frames, so their timing is identical. On the first, every frame moves the object the same amount: the movement is linear and looks like a machine. On the second the object barely moves for the first few frames, covers most of the distance through the middle, and settles gently — ease-in-out. Every animation tool has an easing setting; knowing why to use it is the mark.

2.5Storyboarding and the animation pipeline

A storyboard is the animation drawn as a comic before anything moves: one panel per shot, in order. It is the cheapest place to find out that a scene does not work, and it is the document the client approves before you spend a week animating.

Each storyboard panel recordsWhy
Shot number and a rough sketch of the frameSo everyone can refer to "shot 4" and know what it looks like
Action — what moves, and howArrows on the sketch for movement; a sentence underneath
Camera — wide, close-up, pan, zoomFraming decides what has to be drawn and what does not
Sound — dialogue, music cue, effectTiming is often set by the sound, so it must be planned with the picture
Duration in seconds, or framesAdds up to the running time, and to the frame count you must produce
  1. Brief and script. What the client needs, for whom, how long, where it will be shown.
  2. Storyboard. Every shot as a panel with action, camera, sound and duration. Client approves it.
  3. Animatic. The storyboard panels cut to the soundtrack at their planned durations — a rough moving version. This is where timing problems show, while they are still cheap to fix.
  4. Assets. Characters, backgrounds and props built as layered, reusable files (vector where possible, so they scale).
  5. Keyframes, then in-betweens. Set the extreme poses first, then let the software tween, then adjust the easing until the movement feels right.
  6. Render, review, revise. Export a test at the delivery frame rate and resolution, review it against the storyboard and the brief, fix, and export the final master.
Unit 3QCAA Unit 4Audio and video production

Audio and video production

Video is the biggest file most people ever make, and it has to play on a phone over mobile data. Everything in this unit — the capture settings, the edit, the codec, the export — is a trade between quality and size, and every trade has a number attached that you can be asked to calculate.

3.1Capturing video: frame rate, resolution, bit depth

SettingCommon valuesWhat it decides
Frame rate (frames per second, fps)24 — cinema; 25 — Australian television and most local work; 30 — common online and in North America; 50 / 60 — sport, fast motion, and footage to be slowed downHow smooth motion looks, and how many frames you store: 10 seconds at 25 fps is 250 frames. Mixing frame rates in one edit causes stutter — choose one and shoot everything at it
Resolution720p 1280 × 720; 1080p (Full HD) 1920 × 1080; 4K UHD 3840 × 2160Detail, and file size — 4K has four times the pixels of 1080p. Shoot 4K only if you will deliver 4K or want room to crop
Aspect ratio16:9 landscape for TV and YouTube; 9:16 portrait for phone-first social video; 1:1 squareWhich way you hold the camera. Cropping landscape to portrait later throws away two-thirds of the frame
Bit depth8-bit: 256 levels per colour channel; 10-bit: 1024 levels per channelSmoothness of gradients and how far colour can be corrected before it bands. 10-bit for anything that will be graded heavily
Shutter speedAbout double the frame rate: 1/50 s at 25 fpsNatural motion blur. A much faster shutter makes movement look staccato

3.2Capturing audio: sample rate and bit depth

  • Sound is captured by measuring the signal thousands of times a second. The sample rate is how many measurements per second: 44,100 Hz (44.1 kHz) for CD audio, 48,000 Hz for anything going with video. The rate must be at least twice the highest frequency you want to keep, and human hearing tops out around 20 kHz — which is where 44.1 kHz comes from.
  • Bit depth is the precision of each measurement: 16-bit for delivery (CD quality), 24-bit for recording, because it leaves headroom so quiet passages are not lost in noise.
  • Uncompressed size = sample rate × bit depth × channels × seconds. Stereo CD quality is 44,100 × 16 × 2 = 1,411,200 bits per second — about 176 kB per second, or roughly 10.6 MB per minute. That is why delivered audio is compressed.
  • Clipping is the one audio fault that cannot be fixed later: a signal louder than the maximum (0 dBFS) is simply cut flat. Record with peaks around −12 to −6 dBFS and raise the level in the edit.
  • Get the microphone close. A lapel (lavalier) mic on the speaker or a shotgun mic just out of frame beats the camera's own microphone every time, because the room's echo and the traffic outside are quieter relative to the voice. Record 20 seconds of room tone — the room's silence — to patch gaps in the edit.

3.3The editing workflow

THE PRODUCTION PIPELINE — three stages, in order 1 PRE-PRODUCTION script and storyboard shot list and schedule permissions and releases gear checked, batteries charged cards formatted the plan ↓ 2 PRODUCTION shoot to the shot list record clean audio slate each take back up every card before it is reused the footage ↓ 3 POST-PRODUCTION ingest, organise, name the clips rough cut, then fine cut sound mix, then colour titles, graphics, captions export master, then web copies Each stage exists to make the next one cheaper. A shot missed on the day costs a re-shoot; a shot missed on the storyboard costs a pencil line. The edit is non-destructive: the project file only points at the clips, so the originals are never altered.
Figure 3.1 — pre-production, production, post-productionThe order is the point: every problem is cheapest at the stage before it. The edit itself runs rough cut (the story in order, too long) → fine cut (every cut trimmed to the frame) → sound mix (levels, music under dialogue, room tone in the gaps) → colour (match the shots, then grade) → titles and captionsexport. Sound before colour, because a cut that is changed after colour has to be re-graded.
  • Ingest and back up first. Copy the card to the edit drive and to a second drive before you touch anything — the 3-2-1 rule from Year 11, applied to footage that cannot be re-shot.
  • Name and organise. Folders per shoot day; clips renamed with scene and take. An edit with 200 clips called MVI_0417 is an edit you cannot find anything in.
  • Proxies. The editor makes small copies of 4K clips to edit smoothly, then swaps the originals back in for export. The quality of the final export is unaffected.
  • J-cuts and L-cuts. Audio from the next shot starts before its picture (J), or the current shot's audio runs on under the next picture (L). It is the difference between a conversation and a slideshow.

3.4Compression, codecs and containers

CONTAINER AND CODECS — one file, two streams THE CONTAINER — video.mp4 the wrapper: it holds the streams and keeps them in sync VIDEO STREAM codec: H.264 1920 × 1080, 25 fps, 8 Mbit/s AUDIO STREAM codec: AAC 48 kHz, stereo, 192 kbit/s The extension names the container, not the codec: an .mp4 can hold H.264 or H.265 video, and a player that lacks the codec shows a black screen. H.264 in MP4 with AAC audio is the combination that plays everywhere.
Figure 3.2 — the wrapper and what is inside itA video file is a container (MP4, MOV, MKV, WebM) holding at least two streams, each compressed by its own codec. "Which format?" is therefore two questions. When a client says "the video will not play", the usual cause is a codec their device does not have, not the container.
CodecKindNotes
H.264 (AVC)Video, lossyThe universal delivery codec: every phone, browser and TV decodes it. Default for the web
H.265 (HEVC)Video, lossyAbout half the file size of H.264 at the same quality, but older devices and some browsers cannot play it
VP9 / AV1Video, lossyOpen codecs used by streaming platforms; AV1 is the most efficient but slow to encode
ProRes / DNxHDVideo, lightly compressedEditing and master formats: huge files, every frame stored whole, so they cut and grade cleanly
AACAudio, lossyThe audio partner of H.264 in MP4; 128–256 kbit/s is transparent for most listeners
MP3Audio, lossyOlder, less efficient than AAC at the same bit rate, but plays on anything
WAVAudio, uncompressedThe recording and master format; 10.6 MB per stereo minute at CD quality
FLACAudio, losslessAbout half the size of WAV with nothing lost; for archiving, not for the web
  • Delivery codecs are lossy and inter-frame: a full picture (a keyframe, or I-frame) is stored every second or two, and the frames between store only what changed. A talking head compresses brilliantly; confetti and fast pans do not, and they turn blocky at the same bit rate.
  • Bit rate is the size per second, and it is the one number that sets the file size: size = bit rate × duration. Eight megabits per second for 60 seconds is 480 megabits, and 480 ÷ 8 = 60 megabytes. Bits, not bytes: the small b matters.
  • Re-encoding a lossy file is like re-saving a JPEG: the loss accumulates. Export web copies from the master, never from a previous export.

3.5Exporting for the web

ExportSettingsWhy
MasterProRes or high-bit-rate H.264 (50 Mbit/s or more), full resolution, original frame rate, uncompressed or 320 kbit/s audioKept, backed up, never uploaded; every future copy comes from it
Web / YouTubeMP4, H.264, 1080p, 8–12 Mbit/s (higher for 50/60 fps), AAC 192 kbit/s, same frame rate as the shootPlays everywhere; the platform re-encodes it anyway, so starting from a clean high-quality upload matters more than a tiny file
Social, phone-firstMP4, H.264, 1080 × 1920 portrait, 6–8 Mbit/s, captions burned in or attachedMost social video is watched muted on a phone held upright
Embedded on the client's siteMP4 at a modest bit rate, or better, host it on a video platform and embed the playerA 60 MB file on a small site's hosting is slow and expensive; the platform handles the streaming
  • Always watch the export from start to finish on the target device before delivering it. Dropped frames, a missing audio channel and a wrong aspect ratio all show up in the first minute of watching and never in the export dialog.
  • Supply captions (a .srt file or burned in) and a thumbnail image. Both are accessibility and usability, and both are marks.
  • Name deliverables so the client can tell them apart: clubpromo_v3_1080p_web.mp4, not final.mp4.

3.6Copyright and licensing for sound and footage

  • A piece of recorded music carries two copyrights: the composition (the song) and the sound recording (this performance of it). Using a commercial track in a video needs permission for both, and "we are only a school club" is not a permission.
  • Australian law has fair dealing, not American "fair use": specific purposes only — research or study, criticism or review, parody or satire, news reporting. A club promo video is none of them.
  • Schools have a statutory licence covering music used in class. It does not cover uploading the result to YouTube or a public website.
  • Creative Commons works for video exactly as it does for images: BY needs credit in the video and its description; NC rules out anything that promotes a paid service, including a club that charges fees; ND rules out trimming or fading the track, which is a derivative. CC0 and purpose-built royalty-free libraries are the safe sources; "royalty-free" still has a licence to read.
  • People in your footage: a release form for anyone identifiable, and a parent's or guardian's signature for anyone under 18. Filming in a public place is generally lawful; publishing a stranger's face in an advertisement is a different matter.
  • Moral rights belong to the creator even after they sell the copyright: to be credited, and not to have the work treated in a derogatory way. Credit the composer and the videographer by name.
Unit 4QCAA Unit 4Working with clients: the ICT project cycle

Working with clients: the ICT project cycle

A good product delivered late, to the wrong brief, without documentation, is a failed project. This unit is the process that stops that happening — and it is also, almost line for line, what the markers of an Applied project are looking for.

4.1The brief and the scope

A brief is the client's statement of what they need. It is almost never complete, and the first job is to turn it into one by asking questions. Write the answers down and get the client to agree to them: that agreed document is the scope.

The scope statesExample, for the netball club website
Client and purposeRiverside Netball Club; to publish fixtures and attract new junior players
AudienceParents of 8–14 year olds, mostly on phones; current members checking fixtures on Saturday morning
DeliverablesA five-page responsive website, a logo file set, a one-page guide to updating the fixtures
ConstraintsNo budget for hosting beyond a free tier; must use the existing logo and colours; live by 1 March
Content supplied by the clientFixtures, photographs with releases, committee contact details — by a stated date
Success criteriaMeasurable: loads in under 3 seconds on 4G; fixtures reachable in one tap from the home page; passes the accessibility checklist; the secretary can update fixtures unaided
Out of scopeOnline registration and payment; a members-only area — written down so nobody assumes them later
Scope creep

"While you're at it, could it also…" is the sentence that sinks projects. The answer is not "no" — it is "that's a change to the scope; here is what it adds to the time, and here is what we would drop or delay to fit it." A written scope is what makes that conversation possible. Without one, every extra is your fault for not having read the client's mind.

4.2Planning: milestones, schedule and documentation

THE ICT PROJECT CYCLE — six stages, each with a document 1 BRIEF ask, listen, write it down document: the agreed scope scope signed off 2 PLAN tasks, milestones, dates document: the project plan plan agreed 3 PRODUCE build to the plan, log changes document: change log, asset register a working version faults go back to be fixed 4 TEST real users, real devices document: the test log test log 5 EVALUATE against the success criteria document: the evaluation report report + files 6 DELIVER present, hand over, sign off document: the hand-over pack Every stage leaves a document behind, and the documents are what a marker reads. Deliver is not the end: what the evaluation found becomes the brief for version two.
Figure 4.1 — the cycle, and its paper trailEach stage produces a document, and together they are the evidence of the project: the scope, the plan, the change log and asset register (every image, font and track with its licence), the test log, the evaluation report and the hand-over pack. The dashed arrow is the normal case, not the failure case: testing is supposed to find faults, and they go back to Produce.
  • A milestone is a checkpoint with a date and a deliverable the client can see: "wireframes approved — 10 Feb"; "all content received — 17 Feb"; "test version live — 24 Feb". Milestones are how you find out you are late while there is still time to do something about it.
  • The schedule lists the tasks between milestones, how long each should take, and who does it. Add contingency: things you have never done before take longer than you think, always.
  • The change log records what changed, when, and why, with a version number. When the client asks "why did the menu move?" the answer is in the log, dated, with their own request beside it.
  • The asset register lists every file that is not yours — photos, fonts, icons, music — with its source, licence and the attribution required. It is the document that keeps you out of trouble.

4.3User testing

  1. Decide what to test from the success criteria: "can a parent find Saturday's fixture on a phone?" Write it as a task for the user, not a question about their opinion.
  2. Recruit people like the audience — a parent, a player, the secretary — not your friends who watched you build it. Five users find most of the serious problems.
  3. Watch, do not help. Give the task, then say nothing. The moment you say "it's under Fixtures" you have learned nothing, because you will not be there for the real users.
  4. Record what they did, where they hesitated, what they said, and whether they finished. Screen recording on the phone is ideal.
  5. Rate each fault by severity: stops the task; slows it; cosmetic. Fix in that order.
  6. Fix and retest the serious ones with new users. A fix that seems obvious to you is a new thing to test, not a thing that is now done.

Testing on devices is separate from testing with users and needs both: the site must work on the school iPad, an old Android phone and a desktop in two browsers, and it must be usable by the people it is for. A test log records each case, the device, what happened, and the fix.

4.4Evaluating, and presenting to the client

  • Evaluation is judging the product against the success criteria written in the scope, with evidence: the load time measured, the accessibility checks passed, the user tests completed. "The client was happy" is a feeling; "6 of 6 test users found the fixtures in under 15 seconds" is an evaluation.
  • Be honest about what did not work and what you would change. In an Applied subject, a clear account of a shortfall and its fix scores higher than a claim that everything went perfectly — markers can tell.
  • Presenting: start with what they asked for (the scope), show the product doing exactly that on a phone, explain the two or three decisions that mattered and why, state the limits plainly, then hand over. Keep it under fifteen minutes and rehearse it once out loud.
  • The hand-over pack: the files, where they are hosted, every login (changed to the client's own password on the day), the asset register, and a short plain-English guide to the one thing they will need to do themselves — updating the fixtures. Then a sign-off: a dated acceptance that the deliverables were received.

4.5How the four Applied assessments are judged

Over Units 3 and 4 you complete four assessment instruments: typically projects (a product with its supporting documentation) and extended responses (a written or multimodal response to a scenario). Each is marked against three objectives, which are simpler than their names suggest:

ObjectiveIn plain wordsWhat it looks like in your work
Knowing and understandingDo you know the facts and terms, and can you explain how things work?Correctly using and explaining: codec, breakpoint, alt text, keyframe, bit rate, licence — and the concepts behind them
Analysing and applyingCan you take a real brief, work out what it needs, and choose the right tools and methods for it, with reasons?The scope and plan; the justified choices — why this breakpoint, why H.264, why a mask instead of the eraser; the test plan
Producing and evaluatingCan you make the thing well, and then judge honestly how well it meets the brief?The product itself, working on the target devices; the test log and the evaluation against the success criteria
  • Results are reported as a grade from A to E on each instrument and for the subject. A C or better across the four units earns 4 credits towards the QCE.
  • There is no external exam, which means the documentation is the exam. A brilliant site with no scope, no test log and no evaluation cannot score on two of the three objectives, whatever it looks like.
  • Everything on this site's mock exam is the "knowing and understanding" that the other two objectives are built on. Learn it so that in the project you can spend your time on the choices and the making.
Start hereYear 12 · AppliedFurnishing Skills · Units 3–4

A cabinet that closes with a click, twenty times over.

Year 11 was about timber and the joint. Year 12 is the cabinet shop: carcases in sheet material, doors that hang straight, drawers that run true, a sprayed finish that does not run, and the cutting list, job sheet and quality checks that let you build the same unit twenty times — the way a kitchen is actually made.

The mapTwo units, four topics

  1. Unit 3, Topic 1 — Cabinetmaking: carcase construction. Sheet materials against solid timber, the carcase joints (dowel, biscuit, housing, rebate, knock-down fittings), squaring and clamping, and edge treatment.
  2. Unit 3, Topic 2 — Doors, drawers and hardware. Drawer construction and runners, overlay and inset doors, concealed hinges and how they adjust, handles, and installing hardware from the manufacturer's specification.
  3. Unit 4, Topic 1 — Furniture finishing. Surface preparation and the grit sequence, stains, oils, lacquers and water-based coatings, spray against brush, drying and curing, finish defects and their fixes, and finishing safety.
  4. Unit 4, Topic 2 — Industry practice. Reading a cutting list and a job sheet, estimating material and time, batch production, quality checks, and workplace health and safety around dust, noise, machine guarding and isolation.
How this subject is marked

Four instruments across Units 3–4 — two projects (a furniture item with its planning folio) and two practical demonstrations (a set task under supervision) — graded A–E, with no external exam. A C or better contributes 4 QCE points. Written marks reward select and justify: “16 mm melamine board on a dowelled carcase, because it is pre-finished, stable in a kitchen's humidity and the dowels give alignment as well as strength” — not just “melamine”.

Unit 3 · Topic 1CabinetmakingSheet material · Joints · Squaring

Cabinetmaking: carcase construction

A carcase is the box: two sides, a top or top rails, a bottom, a back, and whatever shelves and dividers it needs. Almost every kitchen, wardrobe and bookcase is a carcase in sheet material, and the whole trade rests on cutting the panels to size, joining them square, and hiding the edges.

1.1Sheet material or solid timber?

MaterialWhat it isStrengthsWeaknessesUsed for
Melamine board (MFC)Particleboard with a melamine-resin paper face bonded both sidesPre-finished, wipe-clean, stable, cheap, fully square sheets 2400×1200 (16 and 18 mm)Chips on the cut edge unless scored; swells if water gets into the core; poor screw-holding in the edgeKitchen and wardrobe carcases — the industry standard
MDFWood fibres and resin pressed into a dense, uniform boardSmooth face for paint, machines to a crisp profile, no grain to moveHeavy; edges soak up paint; fine dust is a respiratory hazard; swells badly when wet (use MR MDF in wet areas)Painted doors and panels, routed profiles, drawer fronts
PlywoodThin veneers glued at 90° to each other, an odd number of pliesStrong for its weight in both directions, holds screws well, stable, takes a clear finish (birch, hoop pine)Dearer; voids in cheap grades; the edge shows the plies unless lipped or celebratedDrawer boxes, backs, shelves that carry weight, exposed “plywood look” furniture
Solid timberBoards from the tree, dressed and jointedRepairable, beautiful, strong along the grain, ages wellMoves with humidity across the grain; must be dried, jointed and allowed to move; expensiveFace frames, door frames, tops, legs, anything shaped
The one rule a carcase must respect

Sheet material is stable; solid timber moves across the grain — a 600 mm-wide solid top can change 5 mm between a wet summer and a dry winter. A carcase mixes them safely only when the solid part is free to move: a solid top is fixed with slotted holes or buttons, never glued down all round to a sheet carcase. Ignore this and the top splits or the carcase racks.

1.2The carcase joints

Dowels, 8 mm — align the bottom Housing (dado) groove for the shelf Rebate for the back panel Cam & dowel KD fitting Back panel — squares the carcase Fixed shelf into the housings Side panel
Figure 1.1 — a sheet carcase, explodedThe bottom and the top rail are dowelled into the sides; the fixed shelf sits in a housing routed across each side; the back drops into a rebate and, once fixed, is what holds the whole box square. The knock-down cam at the corner is how a flat-pack cabinet does the same job with a screwdriver on site.
JointHow it is madeStrength comes fromBest for
Dowel8 mm fluted dowels into matching holes bored with a jig or a line borer, gluedThe dowels in shear, plus the glued face; the dowels also align the panelsCarcase corners and rails in MFC — the production standard
BiscuitA biscuit joiner cuts a slot in each face; a compressed beech biscuit swells in the glueAlignment more than strength; the glued face does the workEdge-to-edge panels, face frames, quick carcases
Housing (dado)A groove across a panel, the width of the shelf, one third the thickness deepThe shelf sits in the groove: it cannot sag out, and the shoulder carries the loadFixed shelves and dividers
RebateA step cut along an edgeThe panel sits in the step, hidden and locatedBacks, and corners where a lipped edge is wanted
Knock-down (KD) fittingsCam-and-dowel, confirmat screws, or corner blocks — no glueMechanical; can be taken apart and reassembledFlat-pack, site assembly, anything that must move house
Pocket screwsAngled holes bored with a jig; screws pull the joint tightThe screw; fast, no clampsFace frames, hidden fixings, jigs

1.3Squaring and clamping

  • Dry-fit first. Assemble without glue, check every joint closes, then take it apart and glue — PVA gives you about 10 minutes of open time, which is not enough to discover a problem.
  • Measure the diagonals. A rectangle is square only when both diagonals are equal. If they differ, rack the carcase towards the longer diagonal until they match, then fix the back.
  • Sash clamps across the joints, on the centre line of the panel, with softwood blocks under the shoes; tighten until the glue squeezes out in a fine line, not until it crushes. Too much pressure bows the panel and starves the joint.
  • The back squares the box. A back panel cut square and fixed into its rebate on all four edges locks the carcase; until it is on, the carcase is a parallelogram waiting to happen.
  • Clean squeeze-out with a damp cloth while wet; dried PVA under a stain shows as a pale patch.

1.4Edge treatment

A cut edge of sheet material shows the core. Edge banding hides it: pre-glued melamine or PVC tape (0.4–2 mm) is applied with heat — an iron or an edge bander — then trimmed flush with a trimmer and the arris softened; ABS/PVC 2 mm on a kitchen door gives a durable radiused edge; a solid timber lipping glued on and planed flush is the furniture-grade answer, and the only one that can be shaped. Where the edge is a joint (a dowelled corner) it is not banded — the mating panel covers it — so the cutting list marks which edges are visible.

Unit 3 · Topic 2HardwareDrawers · Doors · Hinges

Doors, drawers and hardware

The carcase is judged by what moves on it. A door with an even 2 mm gap all round and a drawer that runs out silent and stops soft say “professional” louder than any joint — and both come from reading the hardware manufacturer's specification and drilling to it, exactly.

2.1Drawer construction

Under-mount runner soft-close, hidden Drawer side 12–16 mm Bottom in a 6 mm groove, 10 mm up — never nailed on below Applied front — screwed from inside, adjusted to the gaps Side clearance per runner spec Cabinet side
Figure 2.1 — a drawer, in sectionThe box is four sides with the bottom in a groove; the front is a separate panel screwed to the box from inside so it can be shifted to even the gaps. The runner sets the size of the box: a side-mount ball-bearing runner needs the box 26 mm narrower than the opening (13 mm each side); an under-mount runner has its own table — read it before cutting a single side.
RunnerFixingClearanceExtension and loadWhere
Side-mount ball-bearingOne half on the cabinet side, one on the drawer side12.7 mm (½″) each side — box = opening − 26Full extension, 35–45 kg, soft-close versionsWorkshops, offices, budget kitchens; the runner is visible
Under-mount (concealed)Under the drawer box, clipped at the front, hooked at the backPer the maker's table: box width, side thickness, bottom recess, rear notchFull extension, soft-close, 30–70 kgQuality kitchens and furniture; nothing shows
Metal drawer systemMetal sides ARE the runner; you supply only the bottom and backSet by the systemSoft-close, very high loadProduction kitchens
Timber runner (traditional)A hardwood strip the drawer side rides on, waxed1–2 mm each side, fitted by handThree-quarter extension, no soft-closeFine furniture, reproduction, repair

2.2Doors: overlay and inset

An overlay door sits in front of the carcase and covers its edges; a full-overlay door covers the whole side (the standard in frameless kitchens: door = carcase width − 4 mm, so two doors on one cabinet leave 2 mm gaps); a half-overlay covers half a shared side where two cabinets sit side by side. An inset door sits inside the opening, flush with the carcase face, with an even 1.5–2 mm gap all round — the furniture-maker's door, and the one that shows every error, because there is no overlap to hide it. The choice sets the hinge: overlay, half-overlay and inset are three different hinge arms on the same cup.

2.3The concealed hinge

Cup — in a 35 mm hole, 12.5 mm deep Arm Depth screw — door in or out Side screw — door left or right (the gap) Mounting plate — slotted: height adjustment, door up or down Cabinet side Door, from above
Figure 2.2 — the concealed (Euro) hinge and its three adjustmentsThe cup sits in a 35 mm hole bored in the door; the arm clips to a mounting plate on the carcase side. Three screws fix every hanging fault: the side screw moves the door sideways to even the gap; the depth screw brings it in or out so it sits flush; the height comes from the slotted plate. A door that is 2 mm out at the bottom is fixed with a screwdriver, not a plane.
  • Bore to the spec: the 35 mm cup hole is centred 21.5–22.5 mm in from the door edge (the maker's K or C dimension), 12.5 mm deep. Too close to the edge and the cup breaks through; too far and the door binds on the carcase as it opens.
  • Hinge count by height: two hinges up to about 900 mm, three to 1500, four to 2000. Weight adds hinges too: a heavy solid door gets one more.
  • Opening angle is a hinge choice: 95–110° standard, 155–170° for corner cabinets and where a drawer behind must pull past the open door.
  • Soft-close is built into the hinge or added as a clip-on damper; push-to-open replaces the handle with a catch and needs a non-sprung hinge.
  • Handles: mark from a template or jig at the same height on every door — a common rule is the handle on the stile, at the top of a base door and the bottom of a wall door; drill from the face with a backing block so the back does not break out. A handle screw is M4; hole centres are 96, 128, 160 or 192 mm.

2.4Installing from the specification

Every runner and hinge ships with a drilling pattern: hole positions from the front edge and the bottom of the cabinet, screw sizes, and the clearance the box or door needs. That sheet, not memory, is the source of truth — a runner mounted 1 mm out of parallel binds, and a door bored 2 mm too deep splits. The trade uses jigs for exactly this: a drilling template for the hinge cup and plate, a runner jig that sets the height and holds the runner while you screw. Set up once, check on the first door, and every door after that hangs the same.

Unit 4 · Topic 1FinishingPreparation · Spray · Defects

Furniture finishing

The finish is what the customer touches, and it is unforgiving: every scratch you did not sand out, every drip of glue, every speck of dust in the booth is now sealed under a coat of lacquer where it will stay. Ninety per cent of a good finish is what happens before the first coat.

3.1Surface preparation and the grit sequence

  1. Repair first: fill nail holes and dents with a matching filler (or steam a dent out of solid timber with a damp cloth and an iron); remove every trace of glue — scrape, do not sand, because sanding spreads it.
  2. Sand in sequence: 120 to remove machine marks, 150, 180, then 240 for a clear finish. Each grit removes the scratches of the one before; skipping a grit leaves the coarser scratches, which the stain will find. Sand with the grain by hand for the last pass; a random-orbit sander leaves swirls that show under stain.
  3. Raise the grain before a water-based finish: wipe with a damp cloth, let it dry, sand lightly with the last grit. Otherwise the first coat raises it and the surface feels like sandpaper.
  4. Dust off with compressed air and a tack cloth, and let the air in the booth settle before spraying.
  5. Break the arrises — a stroke of 240 along every sharp edge — because a finish will not hold on a knife edge and the first knock chips it.

3.2The finishes, in a cabinet shop

FinishWhat it isApplied byDry / recoat / cureChoose it forBeware
StainColour only, no protection: pigment or dye in water, spirit or oilRag, brush or spray, wiped backWater 2 h, spirit 30 min; always top-coatedMatching timbers, colouring cheap speciesBlotches on pine and other soft, uneven woods — use a conditioner or a gel stain
Oil (Danish, hard-wax)Penetrating oil that cures in the fibres; hard-wax oils add a thin filmRag, several thin coats, wiped offTouch-dry 6–12 h, recoat 24 h, full cure 2–4 weeksTables and solid timber; repairable by rubbing on moreLittle protection from water rings early; oily rags self-ignite — lay them flat to dry or soak in water
Nitrocellulose / pre-cat lacquerSolvent-based film; pre-catalysed cures harderSpray onlyDust-free 10 min, recoat 30–60 min, cure 7 daysProduction cabinets: fast, sandable between coats, good buildFlammable solvent, strong fumes — booth and respirator; blushes (goes white) in humid air
Two-pack polyurethane (2K)Resin plus a hardener, mixed by ratio; cures chemicallySprayRecoat 4–6 h, cure 24 h hard, 7 days fullKitchen doors, benchtops, high wear and moistureIsocyanate hardener: air-fed or organic-vapour respirator, gloves, booth; pot life 2–4 h then it sets in the gun
Water-based polyurethane / acrylicResin dispersed in water; low odour, low VOCBrush, roller or sprayDry 30 min, recoat 2 h, cure 7 daysSchools, homes, low-VOC jobs; clear, non-yellowingRaises the grain; runs and sags easily when sprayed thick; shows brush marks
Polish / waxShellac or paste waxRag, padMinutesAntiques, restoration, a final sheen over oilAlmost no protection; water and heat mark it
Dry is not cured

Dry (or touch-dry) means the solvent or water has left and the surface can be handled. Cured means the film has finished hardening chemically — days to weeks later. A lacquered door is dry in an hour and can be sanded and recoated; it should not be stacked face to face or have a hot cup on it for a week. Stacking uncured doors is the commonest way a kitchen gets ruined between the shop and the site.

3.3Spray or brush?

Brush for water-based and oil finishes on small work, repairs and edges: cheap, no booth, but slower and it leaves marks on large flat panels. Spray for every production finish: an even, thin, fast coat over a whole door in seconds — but it needs a booth with extraction, a respirator, a compressor or turbine, and gun settings that suit the coating. The industry gun is HVLP (high volume, low pressure): more of the paint lands on the job and less becomes overspray. Thin the coating to the maker's viscosity, set the fan to a vertical ellipse for a horizontal pass, hold the gun 150–200 mm off the surface and square to it, move at a steady walking pace, overlap each pass by half, and keep the gun moving before the trigger is pulled and after it is released. Two thin coats beat one thick one every time.

3.4Defects and their fixes

DefectLooks likeCauseFix
Runs and sagsDrips or curtains on a vertical faceCoat too thick, gun too close or too slow, coating too thinLet it cure fully, sand flat, recoat thinner
Orange peelA dimpled, peel-textured surfaceCoating too thick (viscosity), gun too far away, pressure too low, drying too fastThin correctly, raise pressure, move closer; sand and recoat
BlushingA milky white cloud in lacquerMoisture trapped as the solvent flashes off in humid airSpray a retarder thinner over it, or wait for a dry day and recoat
Fish eyesSmall craters the finish pulls away fromSilicone or wax contamination — polish, hand cream, lubricant sprayStrip and clean with wax-and-grease remover; add a fish-eye eliminator
Dust nibsSmall bumps in the filmDust in the booth or on the job, settling into the wet coatClean the booth, tack cloth, let the air settle; denib with 400 and recoat
Blotchy stainDark and light patchesUneven absorption in pine, cherry, birch; end grain drinks morePre-conditioner, gel stain, or a toner in the top coat
Pinholes / bubblesTiny holes in the filmAir in the grain of open-pored timber, or shaking the tinGrain-fill first; stir, never shake; thinner coats

3.5Finishing safety

  • VOCs and solvent vapour: the booth's extraction runs before, during and after spraying; an organic-vapour respirator with the right cartridge (A1/A2), changed on schedule; no ignition sources — lacquer vapour is heavier than air and flammable.
  • Isocyanates (2K hardeners) sensitise the lungs: once you are sensitised you cannot work with them again. Air-fed respirator or a fitted organic-vapour mask, nitrile gloves, coveralls, and never spray 2K outside a booth.
  • Read the SDS for every product, and store solvents in a flammables cabinet.
  • Oily rags: linseed and Danish oil rags generate heat as they cure and can catch fire in a bin. Lay them flat outdoors to dry, or put them in water.
  • Dust from sanding a cured finish is a fine, resin-loaded dust: extraction on the sander and a P2 mask.
Unit 4 · Topic 2IndustryCutting list · Batch · WHS

Industry practice

A kitchen is thirty carcases, sixty doors and twenty drawers, promised for a Tuesday. It is made from a cutting list that must be right the first time, a job sheet that says who does what, checks that catch the mistake at the first unit and not the thirtieth, and a workshop where the machines are guarded and the dust is under control.

4.1Reading a cutting list

The cutting list is generated from the drawings: every panel, its finished size (length × width × thickness), material, quantity, which edges get banded, and the part code written on the panel. Length is conventionally along the grain or the pattern direction, and a marker checks that the sizes make a carcase that actually closes: for a 600 mm-wide, 720 mm-high base unit in 16 mm board, the sides are 720 high, the bottom is 600 − 32 = 568 wide, and the back is cut to the rebate.

CodePartQtyLengthWidthThkMaterialEdges banded
B600-SSide272056016White MFCFront (1 long)
B600-BBottom156856016White MFCFront (1 long)
B600-RTop rail256810016White MFCNone
B600-KBack17045846White HMR plyNone
B600-DDoor171659618Painted MDFAll four (2 mm ABS)
  • Optimise the sheets: nesting software (or a pencil) lays the parts on 2400×1200 sheets to waste least, allowing the saw's kerf (about 3 mm) between parts. Yield of 80–85% is good; the offcuts are recorded, not thrown out.
  • Estimating: sheets = parts nested and rounded up; edge tape in metres from the “edges banded” column; hardware counted per unit; labour from the job-sheet times; then consumables (glue, screws, finish) and a margin. Time is where estimates fail: allow for set-up and for the first unit taking twice as long as the tenth.

4.2The job sheet and batch production

The job sheet follows the job through the shop: the customer and job number, the drawings and cutting list attached, the operations in order with the machine, the person, the time allowed and the sign-off — cut → edge → bore → assemble → hardware → finish → final check → pack. In batch production the whole kitchen's panels go through the saw, then all of them through the edge bander, then all through the boring machine, so each machine is set up once. The thirty carcases are then assembled on one jig, and the hardware fitted with one drilling template — identical, and each faster than the last.

4.3Quality checks

StageCheckTolerance / standardTool
After the sawPanel size and squareness; chip-free cut edge±0.5 mm; diagonals equalTape, square, a sample panel measured fully (first-off)
After edgingTape bonded, trimmed flush, no glue line showingNo lift when flexed; arris evenFingernail and eye
After boringHole positions match the hardware spec±0.3 mm; test-fit one hinge and runnerVernier; the hardware itself
After assemblyCarcase square, joints closed, back fixedDiagonals within 1 mmTape across diagonals
After hardwareDoor gaps even, drawers run and close soft, handles alignedGaps 2 mm ±0.5; handles level to 1 mmFeeler or 2 mm packer; level; eye at arm's length
After finishingColour matches the sample; no runs, nibs, blush or holidaysAgainst the approved sample, in daylightEye, hand, sample board
Before packingEvery part on the list present and labelled; protective wrap on facesChecklist signedJob sheet
First-off, then sample

Measure the first panel, carcase and door fully. If the first is right the set-up is right; then check a sample — every fifth or tenth — and the last. A fault found at unit one costs a panel; found at unit thirty it costs the kitchen and the Tuesday.

4.4Workplace health and safety in the cabinet shop

HazardWhy it mattersControls, highest first
Wood dust (especially MDF and hardwoods)Fine dust is a carcinogen and a sensitiser; MDF dust carries formaldehyde resinExtraction on every machine and sander (engineering); enclosed booths; P2 respirator; vacuum, never sweep or blow down
Noise (panel saw, thicknesser, router, edge bander)Above the 85 dB(A) eight-hour standard; the damage is cumulative and permanentQuieter tooling and enclosures; rostering; earmuffs or plugs rated for the machine
Machine guardingSaw blades, cutter blocks and router bits remove fingers in a quarter-secondRiving knife and crown guard on the saw; guards fixed or interlocked; push sticks; never freehand on the router table without a fence and guard
IsolationChanging a blade or clearing a jam on a live machineLock-out, tag-out: isolate, lock, test, then work; the lock comes off only by the hand that put it on
Manual handlingA 2400×1200×18 MDF sheet weighs about 40 kgSheet trolleys, panel lifters, two-person lifts, vacuum lifters on the saw
ChemicalsSolvents, 2K hardeners, adhesivesSDS for each, flammables cabinet, booth extraction, correct respirator and gloves
How the four Applied assessments are judged

Two projects: a furniture item to a brief with its folio — drawings, cutting list, job sheet, risk assessment, and an evaluation against the specification. Two practical demonstrations: a set task (a carcase joint, a hung door, a sprayed panel) under supervision in a fixed time, marked on accuracy and safe practice. The verbs are the same across the Applied subjects: describe and explain; organise and interpret; select and apply; produce; evaluate. Show the first attempt and what changed. Graded A–E; a C or better contributes 4 QCE points.

Start hereQCAA Industrial GraphicsApplied · Units 3–4

Drawings that get built, and get built right.

Year 11 taught the language: line types, third angle, pictorials and the parametric workflow. Units 3 and 4 use it on the two kinds of drawing the industry actually pays for — mechanical drawings of parts that must fit together, and building drawings a house is put up from — and then close the loop from a 3D model to a released, revision-controlled sheet.

The mapTwo units, four topics

  1. Unit 3, Topic 1 — Mechanical drafting: assemblies and sections. Assembly and detail drawings, balloons and parts lists, and the full family of sectional views — full, half, offset, revolved, removed and broken-out — with the hatching rules and the parts that are never sectioned.
  2. Unit 3, Topic 2 — Dimensioning, tolerances and fits. Datum dimensioning, the tolerance forms, limits, clearance and interference fits worked at the extremes, surface-finish symbols with Ra values, and how threads and fasteners are represented.
  3. Unit 4, Topic 1 — Building and construction drafting. The set of house drawings — site plan, floor plan, elevations, sections, details — at 1:100 and 1:50, the wall, door and window symbols, dimensioning a plan and reading a set.
  4. Unit 4, Topic 2 — 3D CAD modelling and documentation. Feature-based modelling and the feature tree, constraints and assemblies, generating the 2D drawing from the model, title blocks and revision control, PDF and DXF output, and how the four Applied assessments are judged.
How Year 12 is assessed

Industrial Graphics Skills is an Applied subject: there is no external exam. Across Units 3 and 4 you complete four assessment instruments — projects (a folio of drawings and the process behind them) and practical demonstrations (drawing to a brief under supervision). Each is graded A–E against the syllabus standards, and your exit result is the pattern across all four. A result of C or better contributes 4 QCE points. The mock exam on this site is practice for the knowledge those instruments test; it is not the shape of an exam you will sit.

What carries over from Year 11

AS 1100 line types, third-angle layout, the basic dimensioning rules, scale arithmetic, isometric and oblique, and sketch → constrain → extrude are all assumed here. The Year 11 course is one click away if any of it feels shaky.

Unit 3 · Topic 1AS 1100Assemblies · Sections · Parts lists

Mechanical drafting: assemblies and sections

A machine is never one part. The drawing set that builds it has a detail drawing for each part and an assembly drawing showing how they go together — and because the interesting bits of an assembly are inside it, most assembly drawings are sections.

1.1Third angle, in one paragraph

A reminder only: Australian drawings are in third-angle projection, each view placed on the side you looked from — top view above the front view, right side view to its right — and the truncated-cone symbol in the title block says so. Top and front views share width, front and side share height, top and side share depth. Everything in this unit sits on top of that.

1.2Detail drawings and assembly drawings

DrawingShowsCarriesWho uses it
Detail drawingOne part, alone, in as many views as it needsEvery dimension, tolerance, surface finish, material and heat-treatment note needed to make that partThe machinist or fabricator making the part
Assembly drawing (general assembly, GA)All the parts in their working positions, usually sectionedBalloons, a parts list, overall and interface dimensions only — no manufacturing dimensionsThe fitter assembling it, the buyer ordering it, the person servicing it
Sub-assembly drawingA group of parts that is built up first, then fitted as a unitBalloons and its own parts list; it appears as one item on the GAThe assembly line, in stages
Exploded assemblyThe parts pulled apart along their assembly axes, pictoriallyBalloons and a parts list — the assembly sequence is the drawingInstruction sheets, service manuals, catalogues
  • A balloon is a circle about 10 mm across on a leader, carrying the item number. Under AS 1100 the leader ends in an arrowhead where it meets an outline and in a dot where it lands on a surface. Balloons are arranged in neat rows or columns, never scattered.
  • The parts list sits above the title block (numbered upwards from it) or on its own sheet, one row per item: item, quantity, description, material, drawing number or standard. A bought part is called up by its standard — “M8 × 40 hex bolt, AS 1110, zinc plated” — not drawn in detail.
  • Dimension the assembly for assembly and installation only: overall size, mounting-hole positions, the interfaces to other machines, and any adjustment. Every manufacturing dimension belongs on the detail drawing, once. A dimension in two places is a disagreement waiting to happen.

1.3Sections of an assembly: the hatching rules

Plate — cut by the plane, so it is hatched one direction and one spacing for the whole part Bush — a second part, also cut hatched the OTHER way, so the two parts read apart Shaft — NOT hatched the plane runs along its length, so it is shown whole Bore clearance the shaft is smaller than the bore, so a thin gap shows; the bore walls are visible outlines, not hidden lines Flange of the bush same hatching as its body: one part, one hatch Centre line thin chain, through the bore and the shaft SECTION A–A The lower half mirrors the upper: the same plate, bush and shaft continue below the centre line. The bush is pressed into the plate, so their edges coincide.
Figure 1.1 — an assembly section, three parts, two hatchings and one exceptionThree rules are on show. Each part keeps one hatching — the same angle and spacing wherever it is cut, even where the bore splits it into two areas, so the flange and the body of the bush read as one piece. Adjacent parts change hatching — direction, spacing or both — so the eye can find the boundary between plate and bush. And the shaft is not hatched: the cutting plane runs along its length, and a solid shaft drawn hatched would look like a tube. Hidden lines are omitted from a section; everything that matters is now visible.
Never sectioned, even when the plane passes along them

Shafts, bolts, nuts, studs, rivets, keys, pins, washers, ribs, webs and spokes are drawn whole in a section when the cutting plane runs along their length. Hatching them would suggest they had been cut lengthways and hide their shape — a hatched bolt looks like a hole. The rule flips when the plane cuts across them: a shaft cut crosswise is a circle of hatching, because that really is cut material. Thin parts such as gaskets and sheet-metal washers are too thin to hatch and are blacked in solid instead.

1.4The family of sections

SectionWhat the plane doesUse it when
Full sectionPasses straight through; everything in front of it is removedInternal detail runs the whole way through
Half sectionCuts one quarter away, up to the centre line; half the view is outside, half insideThe part is symmetrical — hidden lines are left off the uncut half
Offset sectionSteps at right angles to pass through features that do not lie on one line; the view is drawn as if the plane were flat, with no line where it changes directionSeveral holes or slots in a row that one straight plane would miss
Revolved sectionThe cross-section of a bar, rib, spoke or arm is turned 90° and drawn on the view itselfShowing the shape of a section without another view — a hand-wheel spoke, a rib
Removed sectionThe same, but drawn away from the view, labelled SECTION B–B, often at a larger scaleThe section would clutter the view, or needs enlarging
Broken-out (local) sectionA small area is broken away with a thin freehand line to show one internal featureOne hole or one keyway in a part that is otherwise fine as an outside view
Aligned sectionA feature on an angle — a hole on a bolt circle, an angled spoke — is rotated into the cutting plane before projectingParts with features on angles: odd numbers of holes, three-spoke wheels
  • The cutting plane line is a thick chain line with arrows at its ends pointing the way you look, and letters naming the section; in an offset section the plane line shows every step, but the section view does not. A section is titled to match its letters.
  • Hatching is thin, at 45°, evenly spaced — about 3 mm apart on an A3 sheet. Where 45° would run parallel to a main outline, tilt it to 30° or 60° instead. Very large areas may be hatched only around their edge.
  • Hatching never crosses a dimension figure or note: leave a gap in the hatch around any text that must sit on it.
Unit 3 · Topic 2AS 1100Datums · Limits · Fits · Threads

Dimensioning, tolerances and fits

No part can be made to an exact size, so a drawing does not ask for one. It asks for a size and how far the maker is allowed to miss it — and where two parts meet, those two allowances together decide whether the shaft slides, locates or has to be pressed in.

2.1A detail drawing, dimensioned from datums

30 90 120 70 35 Ra 3.2 R10 one arrowhead, on the arc; four corners, called once 2 HOLES ⌀10 H7 THRU the same hole twice, dimensioned once M8 × 1.25 tapped hole: thick minor circle, thin 3/4 major circle extension lines run from the datum edge and the hole centre lines, with a gap at the outline ALL DIMENSIONS IN MILLIMETRES · PLATE 8 THICK · UNLESS OTHERWISE STATED ±0.2 Datums: the LEFT edge (30 and 90 both start from it) and the BOTTOM edge (35 and 70 both start from it). No dimension is chained off another. The tick with Ra 3.2 is the surface-texture symbol: that top face must be machined to an average roughness of 3.2 micrometres.
Figure 2.1 — a fully dimensioned plateEvery dimension starts from one of two datum edges, so no error can accumulate: the second hole is at 90 from the left edge, not “60 past the first hole”. Repeated features are called up once with a count — 2 HOLES, and the R10 that applies to all four corners. The general tolerance note (±0.2) covers every dimension that is not given its own tolerance; the holes are, because they carry a fit — the H7 after ⌀10 is a hole tolerance from the ISO system, explained below.
  • Size dimensions say how big a feature is; location dimensions say where it is. A hole needs both: its diameter and the two coordinates of its centre.
  • Parallel (datum) dimensioning: every dimension measured from the datum, so each carries only its own error. Chain dimensioning: each starts where the last ended, so errors add along the chain — three dimensions at ±0.1 can put the far end out by ±0.3. Running dimensioning is datum dimensioning drawn compactly, one line with an origin circle and the figures stacked along it. Choose by function: the dimension that must be right is the one that is given directly.
  • A dimension in brackets, (60), is a reference or auxiliary dimension — given for information, not inspected, because it follows from other dimensions. Never close a chain with a toleranced dimension; make the least important link the reference.
  • Do not dimension to hidden lines; section the part instead. Dimension a hole on the view where it is a circle, and a countersink or counterbore with a note.

2.2Tolerances and limits

FormWritten asLimitsTolerance (band width)
Bilateral50 ± 0.149.9 – 50.10.2
Unequal bilateral18 +0.05 / −0.0217.98 – 18.050.07
Unilateral30 +0.03 / 030.00 – 30.030.03
Limit dimensions29.98 over 29.9529.95 – 29.980.03
General tolerance noteUNLESS OTHERWISE STATED ±0.2Applies to every dimension with no tolerance of its own0.4
Tolerance is a cost

Halving a tolerance does not halve the difficulty — it can multiply it. A tighter band means a slower machine, a better one, more inspection and more scrap. A good drawing puts a tight tolerance only on the features that mate with something, and lets the general note cover the rest. “Why is this hole H7 and that one ±0.2?” is answered with one word: function.

2.3Limits and fits: work the extremes

Where a shaft goes into a hole, the two tolerance bands together make the fit. Prove which fit it is by testing the two extreme combinations: largest hole with smallest shaft (the loosest case) and smallest hole with largest shaft (the tightest case).

FitDefinitionLoosest caseTightest caseFeels likeISO example
ClearanceThe shaft is always smaller than the holeLargest hole − smallest shaft = max clearanceSmallest hole − largest shaft = min clearance, still positiveSlides or rotates freely — a shaft in a bushH7/g6
TransitionThe bands overlapA small clearanceA small interferenceLocates accurately; light taps to assemble — a dowel, a locating spigotH7/k6
InterferenceThe shaft is always larger than the holeLargest hole − smallest shaft = min interferenceSmallest hole − largest shaft = max interferencePressed or shrunk together; permanent — a bush in a housing, a bearing on a shaftH7/p6
  1. Worked: clearance. Hole 30.00–30.03, shaft 29.95–29.98. Max clearance = 30.03 − 29.95 = 0.08. Min clearance = 30.00 − 29.98 = 0.02. Both positive → a clearance fit under every combination.
  2. Worked: interference. Hole 40.00–40.02, shaft 40.03–40.05. Even the largest hole (40.02) is smaller than the smallest shaft (40.03): min interference = 40.03 − 40.02 = 0.01; max interference = 40.05 − 40.00 = 0.05. It must be pressed.
  3. The ISO shorthand. A capital letter is a hole, lower case a shaft; the letter fixes where the band sits relative to the nominal size and the number (the grade, IT5 fine to IT11 coarse) fixes how wide it is. Australia uses the hole-basis system: the hole is always H (its lower limit is the nominal size) and the shaft letter chooses the fit — g clearance, k transition, p interference. One reamer for the hole, and the fit is set on the lathe.

2.4Surface finish, threads and fasteners

Ra (µm)Process that gives itSpecified for
12.5Sawn, flame cut, rough machinedSurfaces nothing touches
6.3Ordinary turning or millingGeneral machined faces
3.2Fine turning or millingMating faces, gasket faces
1.6Fine machining, reamingRunning fits, sealing surfaces
0.8 and finerGrinding, honing, lappingBearing journals, precision slides
  • The surface-texture symbol is the tick in Figure 2.1, with the Ra value written beside it. Add a bar across the top when material must be removed by machining, and a circle in the vee when it must not be (an as-cast or as-rolled surface is required). A symbol in the title block with “all over” sets the default; individual faces override it.
  • Threads are represented, not drawn. An external thread shows the major diameter as thick lines and the minor diameter as a thin line, with a thin line across for the thread run-out; end-on, a thin circle open for about a quarter of its circumference marks the minor diameter. An internal (tapped) thread is the reverse: the drilled hole (minor diameter) is thick, the major diameter is the thin three-quarter circle, and in section the hatching runs up to the thick line.
  • The thread callout does the specifying: M8 × 1.25 is an ISO metric thread, 8 mm major diameter, 1.25 mm pitch (the coarse pitch, so “M8” alone means the same). A tolerance class such as 6H (internal) or 6g (external) may follow; a depth follows for a blind hole.
  • Fasteners are drawn simplified — a hexagon head is two views of a hexagon with the chamfer curves approximated by arcs — or, in CAD, dropped in from a standards library. They are never sectioned, and they are called up in the parts list by size and standard, not drawn in detail.
Unit 4 · Topic 1AS 1100.301Site · Plan · Elevation · Section

Building and construction drafting

A house is built from a set of drawings, each answering one question — where on the block, what is the layout, what does it look like from outside, and how is it put together. The same AS 1100 grammar applies, but the scales, the symbols and the units of thinking change.

3.1The set of drawings

SheetWhat it isUsual scaleWhat you find on it
Site planThe block seen from above, with the house on it1:200 or 1:500Boundaries with their lengths, the north point, setbacks from each boundary, contours or spot levels, existing trees and buildings, the driveway and crossover, services, the lot and plan number
Floor planA horizontal section cut about 1.2 m above the floor, looking down1:100Walls with their thickness, doors with swing arcs, windows, room names and sizes, fixtures, dimension strings, the section-line marks
ElevationsEach outside face, square-on1:100Named by the direction the face looks: the North Elevation faces north. Roof pitch, window and door positions, finished floor level, ceiling height, external materials, the natural ground line
SectionA vertical cut through the building1:50 or 1:100Footings and slab, wall frame, ceiling and roof structure, heights — floor to ceiling 2400 or 2700 — and how the parts are fixed
DetailsEnlargements of one junction1:20, 1:10, 1:5Eaves, window head and sill, slab edge, stair — every layer named
Services plansElectrical, plumbing and drainage laid over the floor plan1:100Power points, lights and switches; sanitary drainage with fall

3.2Reading a floor plan

BED 1 3600 × 3000 3600 3000 N External wall — brick veneer 250 thick; two lines, drawn to scale Window W1 — 1200 wide three thin lines: faces and glass Door D1 — 820 leaf the leaf drawn open at 90°, and the swing arc shows which way it opens Internal wall — 90 stud a lighter outline; the thickness to scale North point Dimensions are internal, wall face to wall face, in millimetres. On a 1:100 sheet this room is 36 mm by 30 mm on paper; at 1:50 it is 72 by 60.
Figure 3.1 — a floor-plan fragmentThe plan is a section: the cut is taken about 1.2 m up so it passes through the windows, which is why a window shows as lines in the wall rather than as a picture of a window. Walls are drawn to their true thickness — 250 for brick veneer (a 110 brick skin, a cavity and a 90 stud frame), 90 for an internal stud wall — and that thickness is where a great many marks are lost, because a wall drawn as a single line cannot be dimensioned. The door's swing arc is not decoration: it tells the builder which side the hinges go and whether the door will hit the bed.
SymbolDrawn asNotes
DoorA thin line for the leaf, open at 90°, with a quarter-circle swing arcStandard leaf widths 720, 820, 920; a sliding door is two overlapping lines with an arrow
WindowThree thin lines in a brick-veneer wall, two in a stud wall; a code (W1, W2) refers to the window scheduleThe schedule gives the size, type and glazing — never write them on the plan
StairsTreads as parallel lines with an arrow marked UP, and a break line where the stair passes above the cutNumber of risers noted
FixturesOutline symbols for the WC, basin, bath, shower, sink, stove and hot-water unitPlaced to scale so clearances can be checked
Section marksA thick line with arrows and letters (A–A) across the plan, exactly as on a mechanical drawingThe section sheet carries the matching title
North pointAn arrow marked N, on the site plan and every planOrientation decides sun, shade and which elevation is which

3.3Scale and dimensioning on a plan

  • At 1:100, 1 mm on paper is 100 mm on site: 10 mm = 1 m. A 4200 wall is 42 mm long. At 1:50, 20 mm = 1 m, so the same wall is 84 mm. At 1:20 a detail is drawn five times larger than at 1:100. The number written is always the real size, in millimetres, with no unit.
  • Plans are dimensioned in strings: an outer string for the overall length, an inner string for the wall-to-wall room sizes and the wall thicknesses, and a third for openings. The strings must add up — the overall equals the sum of the pieces — and a marker will check.
  • Dimensions on a plan run to the face of the structure — the stud or the brickwork — not to plaster or cladding, because that is what the builder sets out. A note says which.
  • Levels are given as heights above a datum: FFL (finished floor level), ceiling height, and RL (reduced level) on the site plan. Elevations and sections carry them; plans do not.
  • Reading a set: start at the drawing register on the cover sheet, check every sheet carries the same revision, find the north point, then walk the house — site plan for position, floor plan for layout, the section for heights, the details for how each junction is built. A note on one sheet applies to the whole set unless it says otherwise.
Unit 4 · Topic 23D CADFeatures · Assemblies · Release

3D CAD modelling and documentation

In Year 11 you built a part from a sketch. Year 12 asks what the model is for: a history of features you can edit, an assembly you can test, and a drawing sheet that is generated from it, checked, numbered and released — then changed under revision control when the design changes.

4.1Features and the feature tree

BRACKET.f3d — feature tree Sketch1 — L profile on the front plane Extrude1 — Sketch1, 60 mm Sketch2 — one circle on the top face Cut1 — Sketch2, through all Fillet1 — R5 on the inside corner Pattern1 — Cut1, 4 × at 25 mm The green spine is the REBUILD ORDER: the model is regenerated from the top of the tree to the bottom, every time. The short branches tie each feature to the spine. Each feature is built ON the ones above it, so Cut1 depends on Extrude1 and Sketch2; Pattern1 depends on Cut1; Fillet1 depends only on Extrude1. WHAT THE TREE TELLS YOU Order the sequence the part was built in — and the order it will be rebuilt in after any edit Dependency (parent and child) Cut1 is a child of Sketch2 and of Extrude1; Pattern1 is a child of Cut1. Delete a parent and every child goes with it Editing change Sketch1 from 60 to 80 wide and Extrude1, Cut1, Fillet1 and Pattern1 all regenerate — the holes stay where the sketch constraints put them Failure shrink the part until the R5 corner no longer exists and Fillet1 fails — the tree marks it, and you fix the parent
Figure 4.1 — the feature tree is the design historyFeature-based CAD keeps every operation as a step in a list, and the model is only ever the result of replaying that list. That gives you the two things a flat 2D drawing never can: you can go back and edit step 1 and everything downstream follows, and the tree shows exactly which features depend on which. It also gives you the characteristic failure of parametric CAD — an edit high in the tree that leaves a lower feature with nothing to attach to — which is why features are named, ordered deliberately and kept as simple as possible.
FeatureWhat it doesNeeds
ExtrudePushes a closed sketch profile straight out to a distance, adding or cutting materialA closed, fully defined sketch and a distance (or “through all”, “to face”)
RevolveSpins a profile about an axis to make a turned shape — a shaft, a pulley, a bottleA profile that does not cross its axis, and the axis
HoleA drilled, counterbored, countersunk or tapped hole from a standards tableA point on a face; the size comes from the thread or bolt standard
FilletRounds an edge to a radius; inside fillets also relieve stressAn edge and a radius — and it should come late in the tree
ChamferBevels an edge at a distance and angle; makes parts easier to assembleAn edge, a distance, an angle
ShellHollows a solid to a wall thickness, removing chosen facesA thickness; used for boxes, housings, mouldings
Pattern / mirrorRepeats a feature in a line, a grid or around an axis; mirror copies it across a planeThe seed feature, a count and spacing (or an angle)

4.2Assemblies

  • An assembly file references the part files; it does not copy them. Edit the part and every assembly that uses it updates — and rename or move the part file and the assembly cannot find it. Folder discipline is part of the subject.
  • A free part has six degrees of freedom: three slides and three rotations. Mates (or joints) remove them: coincident face-to-face removes one slide and two rotations; concentric on two cylinders leaves only a slide and a spin; a revolute joint leaves one rotation. The first part is grounded so everything else locates against it.
  • Run the interference check before the drawing: two parts occupying the same space is a design error the drawing will faithfully reproduce. Check the mass properties too — the model knows the volume and, given a material, the weight.
  • A CAD exploded view is generated from the assembly and stays associative; balloons and the parts list are then placed on it from the same data that built it.

4.3From model to released drawing

  1. Model the part from constrained sketches and features, and check it: mass properties, and interference if it is in an assembly.
  2. Open a drawing sheet from the template — A3 or A4, the frame and title block already on it, third-angle symbol included.
  3. Place the base view (the front view, the one that shows the most) and project the others from it; the software puts them in third angle and keeps them aligned.
  4. Add section and detail views where the base views hide something: the cutting plane is drawn on the parent view and the section is generated, hatched, and titled to match.
  5. Dimension from datums, retrieving the model's sketch dimensions where they are the right ones and adding the rest; apply tolerances, surface-finish symbols and notes.
  6. Balloon and list an assembly: the parts list is filled from the part properties (description, material, quantity) — type it into the parts, not into the sheet.
  7. Complete the title block: title, drawing number, scale, sheet number, who drew and who checked, the date, the projection symbol, and revision A.
  8. Check, then export: PDF for viewing, quoting and the workshop wall; DXF of the flat profile for the laser or plasma; STEP if another CAD system needs the solid.
ControlRuleWhy
Drawing numberUnique, never reused, and the same on the model, the sheet and the file nameA number is the only thing that survives a phone call, an email and a photocopy
RevisionA, B, C… in the title block and a revision table saying what changed, who did it and when; a change cloud on the sheet marks the changeThe workshop must be able to tell which sheet is current and what is different about it
Checked bySomeone who did not draw it signs the blockErrors are cheapest before material is cut
Sheet scale and “DO NOT SCALE”The scale in the block is for the sheet size named; a note says do not measure the drawingA PDF printed “fit to page” on A4 is no longer 1:2 — only the written dimensions are true
Superseded copiesOld revisions are withdrawn from the workshop and marked SUPERSEDEDA part made to the wrong revision fits nothing
Plotting and exporting, in one paragraph

Plotting is printing at a stated scale on a stated sheet size, with line weights applied by a plot style so thick outlines and thin dimensions print as the standard says. PDF preserves that appearance for viewing and printing and is what the quote is priced from. DXF throws away the sheet and keeps the flat geometry, in real millimetres, for a cutting machine — export the profile at 1:1, on one layer, with no dimensions, and check the cutter's operator has allowed for the kerf. STEP carries the solid to a different CAD system; STL carries a triangulated surface to a 3D printer. The native file stays with you, because it is the only one that can still be edited.

4.4How the four Applied assessments are judged

  • Two projects: a folio of drawings for a brief — a mechanical set in Unit 3, a building set in Unit 4 — with the sketches, research and decisions that led to them. Marked on how completely and correctly the set communicates the design: standards applied, views chosen well, every needed dimension present and none duplicated.
  • Two practical demonstrations: producing drawings to a set task under supervision, usually in CAD, in a fixed time. Marked on accuracy against the standard, and on speed only insofar as the set is finished.
  • The standards use verbs. Describe and explain the conventions and processes; organise information and interpret drawings; select and apply the right techniques and standards; produce drawings; evaluate your own work against the brief and the standard. A folio that shows the evaluation — what was wrong in the first draft and what changed — scores higher than a perfect sheet with no history.
  • Four instruments, graded A–E, no external exam. A C or better across the course contributes 4 QCE points.
Start hereYear 12 · AppliedIndustrial Technology Skills · Units 3–4

From a drawing to a batch of parts, on time and in tolerance.

Year 11 taught you what metal is and how to measure it. Year 12 asks you to make with it: cut and weld a frame, turn a shaft on the lathe at the right speed, fold a sheet-metal box that comes out the size the drawing says, and then do it ten times over — identically, safely, and with the paperwork a real workshop runs on.

The mapTwo units, four topics

  1. Unit 3, Topic 1 — Metal fabrication: cutting and joining. Marking out, cutting bar and plate (hacksaw, cold saw, angle grinder, plasma), MIG and arc welding settings and weld types, brazing, weld defects and their causes, and the fume, UV and fire hazards of hot work.
  2. Unit 3, Topic 2 — Machining: lathe and mill. The parts of a centre lathe, facing, turning, drilling and knurling, cutting speed and the spindle-speed calculation, milling basics, and measuring the result against its tolerance.
  3. Unit 4, Topic 1 — Sheet metal and jigs. Developments and bend allowance, the pan brake and the box, seams and hems, pop and solid riveting, and the jigs and fixtures that make the second part identical to the first.
  4. Unit 4, Topic 2 — Manufacturing practice. Production planning and job cards, batch production, go/no-go gauges and inspection, machine maintenance, and workplace health and safety as a system: isolation, guarding, housekeeping and Safety Data Sheets.
How this subject is marked

Four instruments across Units 3–4 — two projects (a fabricated product with its planning folio) and two practical demonstrations (a set task under supervision in a fixed time) — graded A–E, with no external exam. A C or better contributes 4 QCE points. Written marks come from the same habit as Year 11: select and justify. “MIG at 19 V and 6 m/min wire, because 3 mm mild steel needs enough heat to fuse the root but not so much that it burns through” earns marks; “use MIG” does not.

Unit 3 · Topic 1FabricationCutting · Welding · Brazing

Metal fabrication: cutting and joining

Fabrication is the sequence mark out → cut → fit → join → finish, and most of the quality is decided in the first two steps. A frame that is square at the tack stage stays square; one that is a millimetre out at the cut cannot be welded straight.

1.1Marking out and cutting

Mark out from one datum edge with a scriber and an engineer's square, and centre-punch every hole before it goes near a drill. Add the kerf — the width of metal the cut removes — on the waste side of the line: about 1 mm for a hacksaw or cold saw, 2–3 mm for an angle-grinder cutting disc, 1–2 mm for plasma. Cut to the waste side and file, or grind, back to the line.

ProcessSuitsEdge it leavesChief hazard
HacksawBar and tube to about 50 mm; the three-tooth rule for blade choiceSquare, slightly rough; needs filingBlade breakage; cut on the forward stroke only
Cold saw / drop sawRepeat cuts of bar, tube and angle, square or mitredClean and square, ready to weldGuarding and clamping; hot offcuts
Angle grinder, cutting discPlate, bolts, rough cuts anywhereRough, heat-marked, wide kerfDisc burst, sparks igniting rags and fumes, kickback; guard on, both hands, disc rated for the speed
GuillotineSheet and thin plate in straight cutsStraight, slight burr on the undersideFinger guard and back-gauge; never reach under the blade
Plasma cutterAny conductive metal, plate to 20 mm+, curves and holesSlight bevel and dross to grind offArc UV, fume, electric shock; earth clamp on the work
Oxy-acetyleneThick mild steel only (it burns the iron)Wide kerf, heat-affected, needs dressingFlashback, cylinder handling, fire

1.2The welding processes

A weld melts the parent metals and (usually) a filler into one pool that freezes as a single piece. What differs between processes is where the filler comes from and how the pool is shielded from the air — because molten steel that touches oxygen and nitrogen makes a porous, brittle weld.

ProcessFiller and shieldBest forSettings you choose
MIG / GMAWA continuously fed wire is the filler; a shielding gas (argon–CO2 mix for steel) flows from the nozzleMild steel 1–10 mm, fast, easy to learn; most school and production weldingVoltage (arc heat and bead width), wire feed speed (amps and deposition), gas flow about 12–15 L/min, stick-out about 10 mm
MMAW / arc (stick)A flux-coated rod is the filler; the burning flux makes the shielding gas and a slag blanketThicker steel, outdoor and repair work where wind would blow MIG gas awayAmps for the rod diameter (about 40 A per millimetre of rod), polarity, arc length equal to the rod diameter
TIG / GTAWA non-consumable tungsten makes the arc; filler rod fed by hand; argon shieldStainless, aluminium, thin material, where the weld must look perfectAmps by foot pedal, AC for aluminium, tungsten type and grind
THE FOUR JOINTS YOU WILL BE ASKED TO NAME (in section) BUTT JOINT edges in line; a vee is ground on plate over 5 mm so the weld reaches the root vee preparation, filled by the weld TEE JOINT one plate stands on another; a fillet weld on each side — the commonest weld in a frame fillet weld: a triangle of equal legs LAP JOINT plates overlap; a fillet along each edge — quick, no preparation, not flush CORNER JOINT plates meet at 90° on their edges — boxes, tanks, brackets Amber = the weld metal. Grey = the parent plates. Every weld is named by the joint it makes and the shape it leaves: fillet or butt.
Figure 1.1 — joint types and the welds that make themAn exam asks two things about a joint: its name (butt, tee, lap, corner, edge) and the weld used (a fillet weld is the triangle laid into a corner; a butt weld fills the gap between edges in line). A tee joint welded both sides is the default in a frame; a butt joint in plate over about 5 mm needs a vee ground into the edges, or the weld only sits on top and the root stays unfused.

1.3Setting up, and reading the weld

  • MIG settings scale with thickness. A rough start for mild steel with 0.9 mm wire: 1.6 mm plate about 16 V / 3 m/min; 3 mm about 19 V / 6 m/min; 6 mm about 22 V / 9 m/min. Then listen: a steady frying-bacon crackle is right; loud popping means the wire speed is too high for the voltage; a hissing, wandering arc means too much voltage.
  • Arc rod amps come from the rod: a 2.5 mm general-purpose rod runs at about 80–100 A, a 3.2 mm rod at about 110–130 A. Hold the arc length about equal to the rod diameter; too long and the shield fails, too short and the rod sticks.
  • Tack first, weld second. Tack the whole frame, check it is square across the diagonals, then weld in a sequence that balances the shrinkage — opposite corners, not one side then the other — because a weld pulls the metal towards itself as it cools.
  • Travel speed and angle: push or drag at about 10–15° from vertical, moving steadily enough that the bead is about twice the wire diameter wide and sits slightly convex. Too fast leaves a thin, ropey bead; too slow piles up metal and burns through thin plate.
DefectWhat it looks likeUsual causeFix
PorosityPinholes on or in the beadShielding gas failing: draught, low flow, blocked nozzle, dirty or oily plate, damp rodsScreen the draught, check flow and nozzle, clean the joint, dry the rods
UndercutA groove melted into the parent plate beside the beadToo much heat, arc too long, travel too fast, wrong angleLower voltage/amps, shorten the arc, slow down
Lack of fusionBead sitting on top of the plate, easily liftedToo little heat, travel too fast, dirty plate, no vee on thick plateMore heat, slower, clean and prepare the joint
Burn-throughA hole where the weld should beToo much heat for the thickness, travel too slow, gap too wideLower settings, faster travel, close the gap, backing bar
SpatterBalls of metal stuck around the weldWire speed too high for the voltage, long stick-out, dirty plateBalance the settings, shorten stick-out, anti-spatter spray
Slag inclusion (arc)Dull patches of slag trapped inside the weldSlag not chipped and brushed off between passesClean every pass completely before the next
DistortionThe job pulls out of square as it coolsWelding one side fully before the other; too much heatTack, balance the sequence, clamp, weld in short runs

1.4Brazing, and the hazards of hot work

Brazing joins metal without melting the parent: a bronze or silver filler melts above 450 °C, is drawn into a close-fitting joint by capillary action, and bonds to the clean, fluxed surfaces. It is the choice for joining dissimilar metals (steel to brass, copper tube), for thin tube that welding would burn through, and for bicycle-frame-style lugged joints. The joint must be clean, fluxed and a close fit — about 0.05–0.15 mm gap — and the work is heated, not the filler, until the rod melts on touching it.

Hot-work hazards and their controls

Arc UV burns skin and eyes (“arc eye” hours later): helmet of the right shade (10–13 for MIG/arc), leather or cotton sleeves, screens for bystanders. Fume — especially from galvanised, painted or stainless steel — needs extraction at the source, and a P2 respirator where extraction is poor. Fire: sparks travel metres; clear rags, solvents and cardboard, keep an extinguisher and a fire watch for 30 minutes after grinding or welding near anything combustible. Electric shock: dry gloves, good earth clamp on the work, never change a rod with bare wet hands. Burns: everything you just welded is still 300 °C and looks exactly like cold steel — chalk it HOT, and use tongs.

Unit 3 · Topic 2MachiningLathe · Speeds · Mill

Machining: lathe and mill

A machine tool removes metal in a controlled way, so that the result matches a drawing to a hundredth of a millimetre. The lathe turns the work; the mill turns the cutter. Everything else — speed, feed, depth of cut — is arithmetic you can do before you touch the switch.

2.1The centre lathe

Headstock — motor, gearbox, speeds Chuck grips the work Workpiece Tool post — holds the tool Compound slide — angles, tapers Cross slide — depth of cut Tailstock — centre or drill Centre supports long work Carriage & apron — moves the tool Lead screw — threading Feed shaft — power feed Bed — the ground ways
Figure 2.1 — the centre lathe, namedThe headstock turns the work in the chuck; the tailstock supports the far end with a centre, or holds a drill. The tool sits in the tool post on the compound slide, on the cross slide, on the carriage — three stacked slides, so the tool can move along the bed, across it, and at an angle. The lead screw is used only for screw-cutting; ordinary power feed comes from the feed shaft, so the lead screw's thread stays accurate.
OperationTool movesMakesWatch for
FacingAcross the end, on the cross slideA flat, square end faceTool exactly at centre height, or a pip is left in the middle
Turning (parallel)Along the bed, on the carriageA cylinder to a set diameterRoughing cuts, then a light finishing cut; measure before the last cut
Taper turningAlong the compound slide set to the angleA cone — a chamfer, a centre, a tapered spigotThe angle is half the included angle
DrillingDrill in the tailstock fed into the turning workA hole exactly on the axisCentre drill first, or the drill wanders
BoringA boring bar along the bed inside a holeAn accurate, larger, true holeBar deflection: shortest bar that reaches
KnurlingHardened wheels pressed in, low speed, lots of oilA grip pattern on a handleIt forms the metal, not cuts it; heavy pressure, slow
PartingA thin blade straight in on the cross slideCuts the finished part offSlow speed, blade square, plenty of oil; chatter means it is not rigid

2.2Cutting speed and the spindle-speed calculation

Every tool material has a cutting speed (Vc) at which it cuts a given metal well — the speed of the metal surface past the cutting edge, in metres per minute. A high-speed-steel (HSS) tool in mild steel runs about 30 m/min; in aluminium about 90–120 m/min; in brass about 60 m/min; carbide tooling about three times faster. The lathe, though, is set in revolutions per minute, and one revolution of a big bar moves more surface past the tool than one revolution of a thin one. The conversion is the formula you will be asked for:

N = 1000 × Vc ÷ (π × d)

N is the spindle speed in rpm, Vc the cutting speed in m/min, d the diameter in mm. The 1000 turns metres into millimetres; π × d is the circumference — how far one revolution takes the surface.

Worked: HSS tool, mild steel (30 m/min), 40 mm bar. N = 1000 × 30 ÷ (π × 40) = 30 000 ÷ 125.66 = 239 rpm — choose the nearest lower speed the gearbox offers, about 230. Worked: same tool, aluminium (100 m/min), 20 mm bar: 100 000 ÷ 62.83 = 1592 rpm. On the mill, d is the cutter diameter, because it is the cutter that turns: a 10 mm HSS end mill in mild steel runs at 30 000 ÷ 31.42 = 955 rpm.

  • Halve the diameter, double the speed. Drilling a 5 mm hole needs twice the rpm of a 10 mm hole in the same metal — which is why small drills scream and big drills crawl.
  • Feed is how far the tool advances per revolution (mm/rev): about 0.1–0.2 for finishing, 0.3–0.5 for roughing. Depth of cut is how much comes off the radius per pass; the diameter drops by twice that.
  • Coolant (soluble oil) carries heat away, lubricates and flushes swarf; use it on steel. Aluminium and brass often cut dry or with a dab of kerosene.
  • Chatter — a rattling cut and a rippled finish — means something is not rigid: too much tool overhang, work too far from the chuck, a blunt tool, or too high a speed. Fix the rigidity, not the speed, first.

2.3The milling machine

On a mill the cutter rotates and the work, clamped in a machine vice on the table, is fed under it on three hand-wheel axes (X along, Y across, Z up). An end mill cuts on its end and sides for slots, steps and pockets; a face mill or fly cutter skims a large flat surface; a slitting saw cuts a narrow slot. Feed the work against the cutter's rotation (conventional milling) on a manual machine — climb milling, feeding with the rotation, gives a better finish but grabs the table on a machine with any backlash. Set the vice square to the table with a dial indicator before any cut that must be parallel.

2.4Measuring the result

Rough-turn to about 0.5 mm over size, stop, measure with the micrometer (0.01 mm), set the cross-slide dial for the remaining cut (remembering it takes off the radius), and take the finishing cut. A vernier caliper reads to 0.02 mm and is fine for lengths and rough diameters; a micrometer is for any diameter with a tolerance. Check a turned diameter in two places along its length — if they differ, the work is tapering because the tailstock is offset or the tool is deflecting. A part that measures inside its limits is accepted; one outside is rework if it is still oversize, scrap if it is under.

Unit 4 · Topic 1Sheet metalDevelopments · Folding · Jigs

Sheet metal and jigs

Sheet metal is drawn flat, cut flat and then folded into a shape — so the whole skill is working out the flat pattern, the development, that folds up to the right size. And because a real job is never one box but twenty, the second skill is the jig: the fixture that makes number twenty identical to number one.

3.1Developments and bend allowance

When sheet is bent, the outside of the bend stretches and the inside compresses; somewhere between them a layer, the neutral axis, keeps its length. The flat pattern is the sum of the flat faces plus the length of the neutral axis around each bend — the bend allowance. Ignore it and a folded box comes out short on every side.

Bend allowance for a 90° bend

BA = (π ÷ 2) × (r + k × t), where r is the inside bend radius, t the sheet thickness and k the K-factor — where the neutral axis sits as a fraction of the thickness, about 0.33 for a tight bend and up to 0.5 for a large-radius one. Use k = 0.4 unless told otherwise.

Worked: 1.2 mm sheet, inside radius 1 mm, k = 0.4, one 90° bend. BA = 1.571 × (1 + 0.48) = 1.571 × 1.48 = 2.32 mm. A bracket with two 50 mm outside legs, measured to the outside of the bend, has flat faces of 50 − (r + t) = 47.8 mm each, so the blank is 47.8 + 2.32 + 47.8 = 97.9 mm long — not 100.

DEVELOPMENT (flat pattern) base side side end end bend line (dashed): each side = face + bend allowance corner relief: a notch so the folds do not tear Cut the outline, then fold each flap up 90° on its dashed line. FOLDED neutral axis (dashed) — keeps its length: BA is its arc inside radius r; the outside stretches, the inside compresses The corner section: thickness t, inside radius r.
Figure 3.1 — from flat to boxThe development is drawn from the inside dimensions of the box, each flap lengthened by the bend allowance, with corner reliefs notched out so two folds meeting at a corner do not tear the sheet. Cut it on the guillotine, mark the bend lines on the inside face, and fold on the pan brake — each fold in the order that leaves room for the next; the last fold is the one the brake fingers can still reach.

3.2Folding, seams and hems

  • The pan brake (folder) clamps the sheet under a beam and swings the bending leaf up; segmented fingers let you fold a box whose sides are already up. The bend radius is set by the nose of the clamping beam — at least one sheet thickness, or the outside cracks.
  • Fold order matters: plan it so every fold can still be reached; fold the short flanges before the long sides on a tray.
  • A safe edge or hem is the sheet folded back on itself 180°: it stiffens the edge and removes the cut edge that would slice a hand. A wired edge rolls the sheet around a wire for a rigid rim.
  • A grooved seam interlocks two hems and is hammered flat: a mechanical joint with no heat, standard for ductwork. A lap seam is simply overlapped and riveted, soldered or spot-welded.
  • Pop (blind) rivets need access to one side only: drill a hole the rivet's size, insert, squeeze the tool until the mandrel snaps. A solid rivet is set with a hammer and a rivet set from the other side and is stronger. Spacing about 3 to 4 diameters apart, at least 1.5 diameters from the edge.
  • Spot welding clamps the sheets between two copper electrodes and passes a heavy current for a fraction of a second: fast, clean, no filler, but only for overlapping thin steel.

3.3Jigs and fixtures

A fixture holds the work in a fixed position for an operation — a welding table with stops that locate every frame member the same way. A jig holds the work and guides the tool — a drilling jig with hardened bushes puts every hole in the same place without marking out. Both exist for one reason: the first part takes skill and time; the fiftieth must take neither. Design rules: locate from the same datum the drawing dimensions from; clamp against a solid stop, never against a clamp; make it impossible to load the part the wrong way round (a fool-proof or poka-yoke feature); keep swarf from building up under the part; and prove it on the first piece with a full inspection before running the batch.

Drill, guided straight and true Hardened drill bush — the guide Jig plate — sets every hole once Workpiece — loaded, drilled, unloaded Locating stops — the datum Toggle clamp Base — swarf gap under the part
Figure 3.2 — a drilling jigEvery part is pushed against the two locating stops (the same datum edges the drawing dimensions from), clamped, drilled through the bushes, and unloaded — no marking out, no centre punching, no drill wander, and the holes match on part one and part one hundred. The bushes are hardened because the drill would otherwise wear the guide oversize in a few dozen holes.
Unit 4 · Topic 2PracticePlanning · Quality · WHS

Manufacturing practice

A workshop that makes one thing well is a hobby. A workshop that makes the same thing fifty times, on the day it promised, with every one inside tolerance and nobody hurt, is a business — and it runs on planning, inspection, maintenance and a safety system, not on skill alone.

4.1Production planning and the job card

Planning turns a drawing into a job card (or route sheet): the ordered list of operations, the machine and tooling for each, the time allowed, and the check that ends it. Read the drawing, list every operation, put them in an order that makes sense — cut before drill, drill before weld, weld before paint — and work out the materials from a cutting list that adds the kerf and a little waste to every length.

OpOperationMachine / toolSet-upTime (min)Check
10Cut 4 × 40×40×3 SHS to 500Cold sawLength stop at 500 + kerf8Length ±1, square
20Drill 2 × Ø10 each legPedestal drill, jig J-12Jig on table, 900 rpm6Go/no-go plug, position by jig
30Tack and weld frameMIG, fixture F-419 V, 6 m/min, gas 14 L/min15Diagonals equal ±2, welds visual
40Dress welds, deburrAngle grinder, fileFlap disc 80 grit5No sharp edges
50Degrease and primeSpray boothZinc-rich primer6Full coverage, no runs
  • Batch production does every part at operation 10, then every part at 20: one set-up per operation instead of one per part. It is faster and more consistent than one-off work, and it is why jigs, fixtures and length stops pay for themselves.
  • Estimating: materials from the cutting list at the supplier's stock lengths (6 m for most steel sections — nest the cuts to waste least); consumables (wire, gas, discs); labour at the job-card times plus set-up; then a margin. A quote that forgets set-up time loses money on every job.
  • First-off inspection: the first part of a batch is fully measured against the drawing before the rest are run. If it is right, the set-up is right; if it is wrong, only one part is scrap.

4.2Quality control

Quality control is checking parts against the drawing; quality assurance is running the process so that they come out right without checking every one. In a batch, the fast tool is the go/no-go gauge: for a Ø10 H9 hole (10.00–10.036), the GO plug is 10.00 and must enter; the NO-GO plug is 10.036 and must not. No numbers to read, no judgement — pass or fail in two seconds. The same idea gives gap gauges for shafts and length stops for cuts. Full measurement with the micrometer is kept for the first-off and for a sample (every tenth part) after it. Every rejected part is tagged and quarantined, and the cause found before the batch continues.

4.3Maintenance

Machines are maintained on a schedule, not when they break: daily — clean swarf, check guards and stops, oil the slides; weekly — check belts, coolant level and concentration, dress the grinding wheel; monthly or by hours — gearbox oil, way lubrication, spindle bearings, calibration of measuring tools against a standard. A machine with a fault is tagged out of service and the fault is reported, never worked around. Keep the record: the log of what was done and when is what tells you a bearing is failing before it seizes.

4.4Workplace health and safety as a system

SystemWhat it isThe rule that matters
Isolation (lock-out, tag-out)Switching a machine off and locking the isolator before working on itThe person who fits the lock is the only one who removes it; test that the machine will not start before putting hands in
GuardingFixed guards on belts and gears; interlocked guards that stop the machine when opened; adjustable guards on saws and grindersA guard that is off or bypassed is a reportable fault; the machine does not run without it
HousekeepingClear floors, swarf bins emptied, offcuts racked, oil spills cleaned at once, tools returned to the shadow boardMost workshop injuries are slips, trips and cuts from mess — not machines
Safety Data SheetsThe SDS for every chemical (cutting fluid, degreaser, paint, gas) kept where the chemical is usedRead the SDS before first use: PPE, ventilation, first aid, spill and disposal
Induction and sign-offNobody operates a machine until inducted and signed off on that machineCompetence is recorded, not assumed
Incident reportingEvery injury and every near-miss recorded and investigatedA near-miss is a free lesson; an unreported one repeats with worse luck
How the four Applied assessments are judged

Two projects: a fabricated product made to a brief with its folio — drawing, cutting list, job card, risk assessment, and an evaluation of the result against the specification. Two practical demonstrations: a set task (a weld test, a turned component, a folded box) under supervision in a fixed time, marked on accuracy and safe practice. The standards use verbs: describe and explain processes; organise and interpret drawings and information; select and apply the right materials, tools and techniques; produce the product; evaluate it against the brief. A folio that shows the first attempt, what was wrong and what changed scores higher than a clean product with no history. Graded A–E; a C or better contributes 4 QCE points.

Practice zoneYear 8 BiologyNo marks recorded

Practice zone

Two ways to test yourself before the real thing: a spoken quiz that asks a question, times you, then gives the answer — and a mixed drill that pulls questions from every unit at once.

9.1Quiz me out loud

Turn Voice on in the top bar and the question is read to you. Say your answer out loud before the timer runs out — saying it, rather than thinking it, is what shows you whether you actually know it. Then the answer appears and you mark yourself honestly.

Spoken Out-loud quiz not started

9.2Mixed drill

Ten questions pulled at random from every unit of this course, re-shuffled every time you press reset. If you can hit ten out of ten twice in a row, you are ready.

AssessmentYear 8 BiologyMarked out of 100

Mock exam — Year 8 Biology

A full practice paper under exam conditions. When you finish you get a mark out of 100, an A–E grade, a breakdown of which topics let you down, and the worked answer to every question you missed.

ReferenceKey wordsEvery unit

Glossary & cheat sheet

Every term the exam can ask you to define, in the words you should use. Press the speaker on any entry to hear it read out.

The six things to check the morning of the exam

1. Cell theory, all three parts. 2. Which three organelles are plant-only. 3. Cell → tissue → organ → organ system → organism. 4. The path of blood through the heart, chamber by chamber. 5. The word equation for aerobic respiration. 6. The four alveolus adaptations.

CreditsWhere the diagrams come from

The anatomical plates are free-licensed artwork from Wikimedia Commons, reused here with their original labels removed and Year 8 labels added. The explanatory figures — the microscope, surface area to volume, the organisation ladder, specialised cells, diffusion, double circulation, the mechanism of breathing and the systems map — are drawn for this site.

PlateAuthorLicence
Animal cellLadyofHats (Mariana Ruiz)Public domain
Plant cellLadyofHats, derivative by VivelefratPublic domain
Digestive systemMariana Ruiz & JmarchnPublic domain
Respiratory systemLadyofHats & JmarchnPublic domain
Urinary systemArcadian, derivative by ThstehlePublic domain
The heartWapcapletCC BY-SA 3.0
Blood vesselsKelvinsongCC BY-SA 3.0

All plates were downloaded from commons.wikimedia.org. The two CC BY-SA plates are adapted here (labels replaced) and that adaptation is shared under the same licence. Map outlines come from Natural Earth (1:110m countries, public domain), simplified and drawn by this site. Country flags are Wikimedia Commons renderings, all public domain except the flag of Oman (Open Government Licence, Oman).