Every KS3 topic on the map

Place value & ordering

Read, write and order integers and decimals of any size.

Negative numbers

Order, add and subtract with numbers below zero.

Builds on: Place value & ordering — “Ordering below zero extends the line you already walk above it.”

Order of operations

Apply the agreed order: brackets, indices, × ÷, + −.

Builds on: Negative numbers · Multiplication & division fluency — “You can't order operations you can't yet perform.”

Fractions of amounts

Find fractions of quantities and simplify fractions.

Builds on: Multiplication & division fluency — “Finding three-fifths of £40 is division and multiplication in costume.” · Equivalent fractions

Reading algebraic notation

Read 3x as “three lots of x” — letters standing for numbers.

Simplifying expressions

Tidy an expression so its structure shows.

Builds on: Reading algebraic notation — “Simplifying starts from reading the notation correctly.”

Ratio notation

Write and simplify ratios; share in a given ratio.

Builds on: Multiplication & division fluency — “Sharing £24 in 3:5 is division with a plan.” · Equivalent fractions

Perimeter & area

Perimeter and area of rectangles, triangles, compound shapes.

Builds on: Multiplication & division fluency — “Area counts squares by multiplying.”

Averages & range

Mean, median, mode and range from raw data.

Builds on: Tally charts & frequency tables · The mean as fair shares — “Compute the mean only after it means something.”

Inverse operations

Every operation has an undo — subtraction undoes addition.

Builds on: Order of operations — “To undo operations in reverse order, you must know the order they happen in.” · Function machines

Multiplication & division fluency

Multiply and divide whole numbers confidently with a written method — long multiplication and short division.

Rounding to powers of ten

Round whole numbers to the nearest 10, 100 or 1,000 — and judge when a rounded answer is good enough.

Builds on: Place value & ordering — “Rounding to the nearest ten means knowing which digit holds the tens.”

Adding & subtracting decimals

Add and subtract decimals with the points lined up, so tenths meet tenths.

Builds on: Place value & ordering — “Lining up the decimal point is place value in action.”

Multiplying & dividing decimals

Multiply and divide decimals by shifting place value — 0.3 × 0.2 without a calculator.

Builds on: Multiplication & division fluency — “Decimal multiplication is whole-number multiplication plus a place-value shift.” · Adding & subtracting decimals

Factors, multiples & primes

Know what factors, multiples and primes are, and find them for numbers up to 100.

Builds on: Multiplication & division fluency — “Factors are found by dividing — fluently.”

Prime factorisation

Break any number into a product of primes with a factor tree.

Builds on: Factors, multiples & primes — “You can't break a number into primes until you can spot one.”

HCF & LCM

Find the highest common factor and lowest common multiple of two numbers.

Builds on: Factors, multiples & primes — “Common factors start with finding factors at all.” · Prime factorisation

Squares, cubes & roots

Recognise square and cube numbers and undo them with square and cube roots.

Builds on: Multiplication & division fluency — “Squaring is multiplying — just by yourself.”

Equivalent fractions

See that 2/3, 4/6 and 8/12 are the same number in different outfits.

Builds on: Multiplication & division fluency — “Equivalents are made by multiplying top and bottom — tables first.”

Comparing & ordering fractions

Put fractions in order by rewriting them over a common denominator.

Builds on: Equivalent fractions — “You compare fractions by rewriting them as equivalents.”

Inequality symbols & number lines

Read and write <, >, ≤ and ≥, and show the numbers they describe on a line.

Builds on: Place value & ordering — “You can't mark numbers on a line you can't yet order.” · Negative numbers

Estimating before calculating

Get a rough answer first — round the numbers, estimate, and use it to catch slips.

Builds on: Multiplication & division fluency · Rounding to powers of ten — “Estimates are built from rounded numbers.”

Substituting into expressions

Swap the letter for a number and evaluate — find 3x + 2 when x = 5.

Builds on: Order of operations — “Substituting drops numbers into an order-of-operations machine.” · Reading algebraic notation — “Letters must stand for numbers before numbers can stand in.”

Writing expressions from words

Turn '5 more than a number, then doubled' into 2(n + 5).

Builds on: Reading algebraic notation — “You write notation you can already read.”

Coordinates in four quadrants

Plot and read points anywhere on the grid, including negative coordinates.

Builds on: Negative numbers — “Two of the four quadrants live below zero.”

Function machines

Numbers go in, a rule acts, numbers come out — the machine picture of a rule.

Term-to-term sequences

Continue a sequence by describing how each term makes the next.

Expanding a single bracket

Multiply a term over a bracket: 3(x + 4) = 3x + 12.

Builds on: Substituting into expressions · Simplifying expressions — “You can't multiply over a bracket until simplifying feels routine.”

Term, expression, equation, formula

Learn what the four words mean, so instructions like 'simplify the expression' make sense.

Builds on: Reading algebraic notation — “The four words sort symbols you can now read.”

Substituting into formulae

Use a real formula — put numbers into P = 2(l + w) and get a perimeter.

Builds on: Substituting into expressions — “Formulae are expressions with a job title.”

Sequences from a position rule

Generate a sequence from its position: the 10th term of 3n + 1 without listing nine others.

Builds on: Substituting into expressions — “Position rules are substitution in disguise.” · Term-to-term sequences — “A position rule is a shortcut through a sequence you can already continue.”

Recognising special sequences

Know the famous families by sight: odds, evens, squares and triangle numbers.

Builds on: Squares, cubes & roots · Term-to-term sequences — “You recognise families by continuing their members.”

Ratios with mixed units

Simplify ratios like 50p : £2 by putting both sides in the same unit first.

Builds on: Ratio notation — “Mixed units complicate a notation that must already be solid.” · Metric unit conversions — “Same units first — then the ratio tells the truth.”

Ratio ↔ fraction links

See that 3:5 means 3/8 of the whole for one share — part-to-part versus part-of-whole.

Builds on: Equivalent fractions — “A ratio and a fraction describe the same split through different doors.” · Ratio notation — “The link needs both ends — ratio notation is one of them.”

Proportion tables

Complete tables of values that scale together — 3 pens cost 90p, so 5 pens cost…

Builds on: Multiplication & division fluency — “A proportion table is multiplication holding its shape.”

The unitary method

Find the value of one, then scale to any amount — the workhorse of proportion.

Builds on: Multiplying & dividing decimals · Proportion tables — “Find one first — the table shows why that works.”

Metric unit conversions

Change between mm, cm, m and km — and g, kg; the metric system runs on tens.

Builds on: Place value & ordering — “Kilometres to metres is place value ×1000.”

Percentage as a proportion

Per cent means 'per hundred' — a way to compare parts on a common base of 100.

Builds on: Equivalent fractions — “Per cent is an equivalent fraction with denominator 100.”

Simple scale drawings

Let 1 cm stand for 1 m — draw and read plans where the paper is smaller than the world.

Builds on: Ratio notation · Metric unit conversions — “Scale drawings convert units: centimetres standing for metres.”

Measuring & drawing angles

Use a protractor to measure and draw angles to the nearest degree.

Angles at a point & line

Angles on a straight line total 180°; around a point, 360°; vertically opposite angles match.

Builds on: Measuring & drawing angles — “The facts are about turns you can already measure.”

Angles in a triangle

The three angles of any triangle total 180° — and you can show why.

Builds on: Angles at a point & line — “The 180° argument leans on angles on a line.”

Special triangles

Isosceles, equilateral and right-angled triangles, and what their symmetries force their angles to be.

Builds on: Angles in a triangle — “Isosceles facts are the angle sum with symmetry added.” · Reflection symmetry

Quadrilateral properties

Know the square, rectangle, parallelogram, rhombus, trapezium and kite by their sides, angles and symmetries.

Builds on: Special triangles · Reflection symmetry — “Most quadrilateral facts are symmetry facts in disguise.”

Constructing triangles

Draw accurate triangles from given sides and angles with ruler, protractor and compasses.

Builds on: Measuring & drawing angles — “Accurate triangles need accurately drawn angles.”

Nets of 3D shapes

Unfold a solid flat — and predict which flat patterns fold back up.

Builds on: Naming 3D solids — “You can't unfold a solid you can't name.”

Naming 3D solids

Know prisms, pyramids, cylinders, cones and spheres — and count faces, edges and vertices.

Volume of cuboids

Volume as layers of unit cubes: length × width × height.

Builds on: Perimeter & area — “Volume stacks areas, layer by layer.”

Reflection symmetry

Spot and draw lines of symmetry — the fold that maps a shape onto itself.

Rotational symmetry

How many times a shape looks the same in one full turn — its order of rotational symmetry.

Reflecting shapes

Reflect a shape in a mirror line on the grid, including the axes and y = x.

Builds on: Reflection symmetry — “Performing a reflection needs the mirror idea already in place.” · Coordinates in four quadrants — “Mirror lines like y = x live on the coordinate grid.”

Reading measurement scales

Read rulers, jugs and weighing scales — including the marks between the numbers.

Parts of a circle

Radius, diameter, chord, arc, sector, segment and tangent — the circle's vocabulary.

The language of chance

Impossible, unlikely, evens, likely, certain — words for how much to expect something.

The probability scale

Chance drawn as a line from 0 to 1 — every event has an address on it.

Builds on: The language of chance — “Words go on the line before numbers do.” · Inequality symbols & number lines

Listing outcomes systematically

Write out everything that could happen — in an order that guarantees nothing is missed.

Fair or biased?

Fair means every outcome is equally likely — and biased means the counting shortcut breaks.

Builds on: The language of chance — “Fairness is a claim made in the language of chance.” · Listing outcomes systematically — “Equally likely means counting the outcomes first.”

Tally charts & frequency tables

Record data as you collect it — tallies in fives, then totals in a frequency column.

Bar charts

Draw and read bar charts — equal-width bars, honest gaps, a labelled scale.

Builds on: Tally charts & frequency tables — “Bars are drawn from the frequency table.”

Pictograms & their keys

Pictures standing for counts — where half a symbol means half the key's value.

Builds on: Tally charts & frequency tables — “Reading half a symbol means reading the table behind it.”

Reading tables & timetables

Pull the right number out of a real table — bus timetables, price grids, league tables.

Line graphs over time

Plot measurements against time and read the story — rises, falls and steady spells.

Builds on: Reading tables & timetables · Coordinates in four quadrants — “A time series is coordinates with time along the bottom.”

The data-handling cycle

Pose a question, collect data, present it, interpret it — statistics as a full loop, not a chart exercise.

Builds on: Tally charts & frequency tables — “You can't plan a cycle whose collection step you've never done.” · Bar charts

The mean as fair shares

The mean is what everyone would get if the total were shared out equally.

Builds on: Multiplication & division fluency — “Fair sharing is division with a story.”

Collecting like terms

Gather matching terms so long expressions shrink.

Builds on: Simplifying expressions — “Collecting terms is simplifying, made a habit.”

Fractions ↔ decimals ↔ %

Move fluently between the three notations.

Builds on: Fractions of amounts — “Converting starts from knowing what a fraction is.” · Percentage as a proportion — “Per cent must mean 'per hundred' before the third notation joins.”

One-step equations

Solve x + 4 = 11 or 3x = 12 by undoing one operation.

Builds on: Inverse operations — “Solving is undoing — inverse operations are the tool.” · Reading algebraic notation — “You can’t solve a sentence you can’t read.”

Solving two-step linear equations

Undo operations in reverse order to find the unknown in 3x + 4 = 19.

Builds on: Collecting like terms · One-step equations — “Two steps are one step done twice — make one step automatic first.”

Ratio & proportion problems

Solve sharing and scaling problems — recipes, maps, best buys.

Builds on: Fractions of amounts · Ratio notation — “Proportion problems need the notation first.”

Angles in polygons

Interior and exterior angles; angle sums.

Builds on: Angles at a point & line · Angles in a triangle — “Every polygon's angle sum is triangles glued together.” · Perimeter & area

Probability of single events

Express chance as a fraction on the 0–1 scale.

Builds on: The probability scale — “Fractions land on a scale you've already drawn.” · Listing outcomes systematically — “The fraction counts outcomes — you must be able to list them.” · Fractions of amounts — “You can’t weigh chances you can’t write down.”

Multiplying & dividing negatives

Use the sign rules: same signs make positive, different signs make negative.

Builds on: Negative numbers — “The sign rules extend adding and subtracting below zero.” · Multiplication & division fluency — “Sign rules sit on top of the times tables.”

Adding fractions, unlike denominators

Add and subtract fractions by first rewriting them over a common denominator.

Builds on: HCF & LCM · Equivalent fractions — “A common denominator is an equivalent fraction, chosen twice.”

Multiplying fractions

Multiply fractions — top by top, bottom by bottom — and see why the answer shrinks.

Builds on: Equivalent fractions · Fractions of amounts — “'Half of a third' only makes sense once 'of' does.”

Dividing by a fraction

Understand dividing by a fraction as asking 'how many fit?' — which is why you flip and multiply.

Builds on: Multiplying fractions — “Flip-and-multiply is meaningless until multiplying fractions isn't.”

Mixed numbers & improper fractions

Switch between 2¾ and 11/4 — the same amount, packaged differently.

Builds on: Equivalent fractions — “Repackaging 11/4 as 2¾ is equivalence doing the lifting.”

Percentages of amounts

Find percentages of quantities with and without a calculator — 35% of £80.

Builds on: Fractions of amounts — “35% of £80 is a fraction-of-amount wearing a % sign.” · Percentage as a proportion — “Per cent has to mean 'per hundred' before you take 35% of anything.”

Percentage increase & decrease

Increase or decrease an amount by a percentage — find the change, then apply it.

Builds on: Percentages of amounts — “You can't add 20% on until you can find 20% of.”

Index notation

Write repeated multiplication as a power: 2⁵ means five 2s multiplied together.

Builds on: Squares, cubes & roots — “Powers generalise the squares and cubes you've already met.”

Laws of indices

Multiply and divide powers of the same base by adding or subtracting the indices.

Builds on: Index notation — “The laws compress notation you can already unpack.”

Rounding to decimal places

Round decimals to a given number of decimal places.

Builds on: Rounding to powers of ten — “Same rounding decision, smaller columns.” · Adding & subtracting decimals

Significant figures

Round to significant figures — keeping the digits that carry the information.

Builds on: Rounding to decimal places — “Decimal places first — significant figures make the same cut smarter.”

Calculator fluency

Use a scientific calculator well — fractions, powers, brackets — and read the display critically.

Builds on: Order of operations — “A calculator obeys the order of operations, so you must know it.” · Estimating before calculating

Order of operations with indices

Run the full priority order when powers and nested brackets join the queue.

Builds on: Order of operations — “Indices join a queue you must already run in order.” · Index notation — “You can't prioritise powers you can't read.”

Factorising into a bracket

Pull the common factor out: 6x + 9 = 3(2x + 3).

Builds on: Factors, multiples & primes — “No factor sense, no common factor to pull out.” · Expanding a single bracket — “Factorising is expanding run in reverse.”

Expanding and simplifying

Expand two brackets and collect the pieces: 3(x + 2) + 2(x − 1).

Builds on: Collecting like terms — “Expanded brackets leave like terms to collect.” · Expanding a single bracket — “Two brackets means the single-bracket move, twice.”

Equations with brackets

Solve 3(x + 2) = 18 — expand first, or divide first, and know both routes.

Builds on: Solving two-step linear equations — “After expanding, a two-step equation is what remains.” · Expanding a single bracket — “One route through the equation runs straight over the bracket.”

Unknowns on both sides

Solve 5x + 2 = 3x + 10 by collecting the unknowns on one side first.

Builds on: Collecting like terms · Solving two-step linear equations — “Both-sides moves assume two-step solving is automatic.”

nth term of linear sequences

Find the position-to-term formula of an arithmetic sequence — 5, 8, 11 becomes 3n + 2.

Builds on: Writing expressions from words · Sequences from a position rule — “The nth term formalises the position rule you've been using.”

Rearranging simple formulae

Change the subject: turn v = u + at into a = (v − u)/t.

Builds on: One-step equations — “Changing the subject is solving, with letters left in.” · Substituting into formulae — “Rearrange only formulae you can already use forwards.”

Inequalities on a number line

Show x > 2 or −1 ≤ x < 3 as a shaded stretch of the number line.

Builds on: Inequality symbols & number lines — “The symbols come before the pictures.”

Solving linear inequalities

Solve 2x + 1 < 9 the way you solve an equation — and keep the direction honest.

Builds on: Solving two-step linear equations — “Solve it like an equation — then keep the direction honest.” · Inequalities on a number line — “You should see what the answer looks like before hunting it.”

Plotting lines from tables

Build a table of values for y = 2x + 1, plot the points, join the line.

Builds on: Substituting into expressions — “Each row of the table is one substitution.” · Coordinates in four quadrants — “Every point in the table needs a home on the grid.”

Horizontal & vertical lines

Know x = 3 is a vertical wall and y = 2 a horizontal floor.

Builds on: Coordinates in four quadrants — “x = 3 only makes sense as all the points whose x is 3.”

Index laws in algebra

Simplify a³ × a⁴ and a⁸ ÷ a² — the index laws now wearing letters.

Builds on: Laws of indices — “The laws were learned on numbers; the letters change nothing.” · Simplifying expressions

Map scales

Use scales like 1:25,000 to turn map centimetres into real kilometres.

Builds on: OS maps & grid references (GEOG) · Ratios with mixed units · Simple scale drawings — “Maps are scale drawings that left the classroom.”

Best-buy comparisons

Decide which deal is better by comparing the price of one unit.

Builds on: Multiplying & dividing decimals — “Unit prices are decimal division.” · The unitary method — “Price-per-one is the unitary method out shopping.”

Speed, distance, time

Connect the three: speed is the distance covered in one unit of time.

Builds on: The unitary method — “Speed is a unit rate: the distance for one hour.” · Metric unit conversions · Speed = distance ÷ time (PHYS)

Density as a rate

Density is mass per unit of volume — how much stuff is packed into each cubic centimetre.

Builds on: Particle model & states (CHEM) · Volume of cuboids · The unitary method — “Density is 'how much stuff per one' — a rate.”

Change as a percentage

Express a rise or fall as a percentage of where it started.

Builds on: Percentage increase & decrease — “Apply changes forwards before expressing them backwards.” · The unitary method

Ratio problems with differences

Solve puzzles like 'shared 3:5, and one gets £8 more' by valuing one part.

Builds on: One-step equations · Ratio ↔ fraction links — “You must see what slice of the whole each share is.”

Currency conversion

Use an exchange rate to convert money both ways between two currencies.

Builds on: Multiplying & dividing decimals — “Exchange rates multiply decimals.” · The unitary method — “An exchange rate is the value of one unit — the unitary method again.”

Direct proportion graphs

Quantities in direct proportion plot as a straight line through the origin.

Builds on: Plotting lines from tables — “Plotting from a table is the skill this borrows.” · Proportion tables — “The graph is the proportion table, drawn.”

Translating shapes

Slide a shape across the grid without turning it — same shape, new address.

Builds on: Coordinates in four quadrants — “You can't slide a shape you can't place.”

Angles in parallel lines

Alternate, corresponding and co-interior angles — the F, Z and C patterns, properly named.

Builds on: Angles at a point & line — “New angle facts stack on the point-and-line ones.”

Area of a parallelogram

Base × perpendicular height — because a parallelogram is a rectangle in disguise.

Builds on: Perimeter & area — “Shear the rectangle: same base, same height, same area.”

Area of a trapezium

Average the parallel sides, then multiply by the height between them.

Builds on: Area of a parallelogram — “The trapezium formula is two parallelogram stories averaged.”

Circumference of a circle

The distance round a circle is π times its diameter — a touch over three of them.

Builds on: Parts of a circle — “Diameter and radius must be distinct before π multiplies one.” · Multiplying & dividing decimals — “Multiplying by 3.14 is decimal multiplication.”

Area of a circle

A = πr² — and why the radius gets squared while the diameter doesn't.

Builds on: Circumference of a circle — “Meet π in the perimeter before squaring anything.” · Squares, cubes & roots

Rotating shapes

Turn a shape about a centre — by 90° or 180°, clockwise or anti — and land it exactly.

Builds on: Rotational symmetry — “Rotational symmetry gives the feel; now perform the turn.” · Coordinates in four quadrants — “Centres of rotation are coordinates.”

Enlarging shapes

Enlarge a shape from a centre by a whole-number scale factor — every length multiplied, every ray from the centre.

Builds on: Coordinates in four quadrants — “Centres and image points are coordinate work.” · Simple scale drawings — “Enlargement is a scale drawing that stayed on the page.”

Volume of prisms

Cross-section area × length — any prism is layers of its end face.

Builds on: Volume of cuboids — “Cuboids first: volume as layers of one face.” · Area of a parallelogram

Surface area of prisms

Total the area of every face — the net makes sure you miss none.

Builds on: Nets of 3D shapes — “The net makes sure no face goes uncounted.” · Perimeter & area — “It's area, added carefully.”

Converting area & volume units

A square metre is 10,000 cm² — area and volume units convert by the scale squared or cubed.

Builds on: Perimeter & area — “You convert area units by re-counting squares.” · Metric unit conversions — “Length conversions come first; these are their squares and cubes.”

Bearings

Directions as three digits measured clockwise from north — 070°, not 'roughly north-east'.

Builds on: OS maps & grid references (GEOG) · Measuring & drawing angles — “A bearing is a measured angle with compass manners.” · Map scales

Constructing bisectors

With compasses alone: cut an angle perfectly in half, or find the line midway between two points.

Builds on: Constructing triangles — “Compass control comes from building triangles.”

Sample space diagrams

A grid of every combined outcome — two dice become a 6-by-6 map of possibilities.

Builds on: Listing outcomes systematically — “The grid is your list, organised so it can't lie.”

Probabilities sum to 1

All the possibilities together are certain — so P(not A) is 1 minus P(A).

Builds on: Probability of single events — “P(not A) only clicks once probabilities are fractions.” · Adding fractions, unlike denominators

Experimental probability

Estimate a chance by doing the experiment: successes over trials.

Builds on: Tally charts & frequency tables · Probability of single events — “Relative frequency is a fraction with data on top.”

Theory versus experiment

Compare what should happen with what did — and reason about why they differ.

Builds on: Fair or biased? · Experimental probability — “You can't compare theory with an experiment you can't run.”

Expected frequency

If the chance is 1/6 and you roll 60 times, expect about 10 — probability times trials.

Builds on: Probability of single events — “Expectation multiplies a probability you must first have.” · Multiplying fractions

Drawing pie charts

Turn category counts into slices — each category's share of 360 degrees.

Builds on: Measuring & drawing angles — “No protractor, no pie.” · Tally charts & frequency tables — “The angles come from frequencies you must first trust.” · Fractions of amounts — “Each slice is a fraction of 360 degrees.”

Interpreting pie charts

Slices show proportions, not counts — two pies can only be compared with their totals.

Builds on: Bar charts · Percentage as a proportion — “Slices are proportions, not counts.”

Averages from frequency tables

Find the mean, median and mode when the data arrives already tallied.

Builds on: Tally charts & frequency tables — “The table's structure is the method.” · Averages & range — “The shortcuts compress a list you could already average.”

Choosing the right average

Mean, median or mode — which one tells this dataset's truth?

Builds on: Outliers & their effect · Averages & range — “You can't choose between measures you can't compute.”

Grouped frequency tables

Bundle messy continuous data into classes — 0–10, 10–20 — and keep the boundaries honest.

Builds on: Tally charts & frequency tables — “Grouping is the frequency table meeting messy data.”

Dual & compound bar charts

Two datasets on one chart — side-by-side bars or stacked ones, for honest comparison.

Builds on: Bar charts — “Two datasets, same axes — the bar chart grows up.”

Outliers & their effect

One extreme value can drag the mean and stretch the range — spot it and say what it does.

Builds on: The mean as fair shares · Averages & range — “An outlier is judged by how it drags the summaries.”

Linear graphs y = mx + c

Plot lines and read gradient and intercept.

Builds on: Solving two-step linear equations — “A graph is an equation drawn — solve before you draw.” · Plotting lines from tables — “Tables of points come before the y = mx + c shortcut.”

Simultaneous equations

Two unknowns, two equations, one consistent story.

Builds on: Solving two-step linear equations — “Two-step fluency before two equations at once.” · Linear graphs y = mx + c

Scatter graphs & correlation

Plot paired data; describe correlation honestly.

Builds on: Coordinates in four quadrants — “Paired data plots as coordinates.” · Averages & range — “Summaries first, patterns second.”

Standard form: large numbers

Write big numbers as A × 10ⁿ — 4,500,000 becomes 4.5 × 10⁶.

Builds on: Place value & ordering · Index notation — “Standard form is index notation given a job.”

Standard form: small numbers

Use negative powers of ten for tiny numbers — 0.00032 is 3.2 × 10⁻⁴.

Builds on: Standard form: large numbers — “Small numbers reuse the big-number machinery.” · Negative & zero indices — “10⁻³ has to mean something first.”

Calculating in standard form

Multiply and divide numbers in standard form using the index laws.

Builds on: Laws of indices — “Multiplying the powers of ten uses the index laws.” · Standard form: large numbers — “You can't calculate in a form you can't read.”

Negative & zero indices

Extend the pattern: anything to the power 0 is 1, and negative powers mean 'divide'.

Builds on: Laws of indices — “Zero and negative powers extend the pattern the laws create.”

Recurring decimals

Some fractions become decimals that repeat forever — recognise them and write them with dot notation.

Builds on: Fractions ↔ decimals ↔ % — “You need the fraction–decimal bridge before asking which decimals repeat.”

Estimating roots

Trap a square root between two whole numbers — √50 lies between 7 and 8.

Builds on: Squares, cubes & roots — “You can't trap √50 between squares you don't know.”

Reverse percentages

Find the original amount after a percentage change — the price before the sale.

Builds on: Percentage multipliers · Percentage increase & decrease — “You can only undo a change you can run forwards.”

Repeated percentage change

Apply a percentage change several times — and see why two 10% rises are not 20%.

Builds on: Percentage multipliers — “Repeated change is repeated multiplication — multipliers keep it honest.” · Percentage increase & decrease — “Chaining changes assumes single changes are safe.”

HCF & LCM by prime factors

Use prime factorisations to find the HCF and LCM of numbers too big to list.

Builds on: Prime factorisation — “No prime factorisation, no shortcut.” · HCF & LCM — “Meet HCF and LCM by listing before you scale the method up.”

Choosing a calculation method

Decide: mental, written or calculator — then sanity-check whichever you chose.

Builds on: Estimating before calculating — “Checking by estimate is half of choosing well.” · Calculator fluency

Gradient as a rate

Read a gradient as 'how much y changes for each step of x' — a rate, not just a slope.

Builds on: Linear graphs y = mx + c — “Gradient as steepness first; gradient as rate second.” · Speed, distance, time

Finding a line's equation

Take a drawn line and write its equation — gradient from the slope, c from the crossing.

Builds on: Linear graphs y = mx + c — “You can't write m and c until you can read them.” · Gradient as a rate

Parallel lines on graphs

Lines with the same gradient never meet — recognise parallel lines from their equations.

Builds on: Linear graphs y = mx + c — “Parallel is a claim about gradients — read them first.”

Real-life graphs

Read distance–time and container-filling graphs as stories: steep means fast, flat means stopped.

Builds on: Line graphs over time · Gradient as a rate — “A story graph is read through its rates.” · Speed = distance ÷ time (PHYS)

Geometric sequences

Sequences that multiply — 3, 6, 12, 24 — and how fast they grow.

Builds on: Percentage multipliers · Term-to-term sequences — “Multiplying sequences are met by continuing them.”

Solving equations with graphs

Where two graphs cross, both equations are telling the truth — read solutions off the picture.

Builds on: Linear graphs y = mx + c — “The crossing point only speaks if you can draw the lines.” · Unknowns on both sides

Equations with fractions

Solve x/3 + 2 = 7 — clear the fraction, then it's an equation you know.

Builds on: Multiplying fractions · Unknowns on both sides — “Fraction-clearing lands you in a both-sides equation.”

Building equations from problems

Turn a word problem into an equation — the sentence becomes symbols before it becomes a number.

Builds on: Writing expressions from words — “You can't build an equation from words you can't phrase in symbols.” · Unknowns on both sides

Graphs of quadratics

Plot y = x² and friends — meet the parabola and its symmetry.

Builds on: Plotting lines from tables — “Plot from a table — the table just gained an x² column.” · Substituting negatives & squares — “One wrong (−2)² and the parabola grows a kink.”

Substituting negatives & squares

Evaluate 3x² when x = −2 without the classic sign slip.

Builds on: Multiplying & dividing negatives — “The sign rules do the heavy lifting.” · Substituting into expressions — “Ordinary substitution first; the traps come after.”

Direct proportion y = kx

When one quantity doubles, so does the other — and k is the constant that links them.

Builds on: Direct proportion graphs — “The line you drew becomes the formula you write.” · Substituting into formulae

Inverse proportion

More workers, less time — when one quantity doubles, the other halves.

Builds on: Direct proportion y = kx — “Inverse is direct proportion's mirror — meet direct first.” · Dividing by a fraction

Scale factors as multipliers

Scaling is multiplying — by 2, by ¾, by 1.1 — one number that does the whole job.

Builds on: Multiplying fractions — “A scale factor of ¾ is fraction multiplication.” · Simple scale drawings

Percentage multipliers

Pack a percentage change into one multiplication: +20% is ×1.2, −15% is ×0.85.

Builds on: Multiplying & dividing decimals — “Multiplying by 0.85 is decimal multiplication.” · Percentage increase & decrease — “See the two-step version before packing it into one.”

Inverse proportion graphs

Inverse proportion draws a falling curve that never quite touches the axes.

Builds on: Direct proportion graphs · Inverse proportion — “The curve pictures a relationship you must already believe.”

Proportional or not?

Pause before calculating: does this situation actually scale? Not everything does.

Builds on: Direct proportion y = kx — “Spotting proportion means knowing its fingerprint.” · Inverse proportion

Combining ratios

Merge a:b and b:c into a:b:c by lining up the shared part.

Builds on: HCF & LCM · Ratios with mixed units — “Aligning the shared part is equivalent-ratio work.”

Pythagoras: the hypotenuse

In a right-angled triangle, the squares on the two short sides add up to the square on the longest.

Builds on: Squares, cubes & roots — “The theorem trades in squares and square roots.” · Perimeter & area

Pythagoras: shorter sides

Rearrange the theorem to find a shorter side — subtract before you square-root.

Builds on: Pythagoras: the hypotenuse — “Rearranging the theorem comes after trusting it.” · Rearranging simple formulae

Congruence criteria

When are two triangles guaranteed identical? SSS, SAS, ASA and RHS — and why AAA isn't enough.

Builds on: Special triangles · Constructing triangles — “SSS convinces because you've built triangles from three sides.”

Similar shapes

Same shape, different size — matching angles equal, all lengths scaled by one factor.

Builds on: Scale factors as multipliers — “Missing sides fall to a multiplier.” · Enlarging shapes — “Similarity is what enlargement preserves.”

Volume of cylinders

A cylinder is a prism with a circular face: V = πr²h.

Builds on: Area of a circle — “The layer is a circle — you need its area.” · Volume of prisms — “A cylinder is a prism whose face happens to be round.”

Surface area of cylinders

Two circles plus a rolled-up rectangle whose width is the circumference.

Builds on: Circumference of a circle — “The curved face unrolls into a rectangle — circumference wide.” · Surface area of prisms — “Surface-area habits transfer; the net just gained curves.”

Compound shapes with circles

Perimeters and areas of shapes built from rectangles and half- or quarter-circles.

Builds on: Circumference of a circle — “Curved edges in the perimeter come from circumference.” · Area of a circle — “Half a circle's area is no use without the whole one.”

Fractional enlargements

Enlarge by a factor like ½ — the image shrinks, but it's still called an enlargement.

Builds on: Scale factors as multipliers — “A factor of ½ only surprises you until multipliers don't.” · Enlarging shapes — “Whole-number factors first; fractions bend the intuition.”

Describing transformations

Name a transformation completely: which kind, plus the mirror line, centre, angle or vector it needs.

Builds on: Reflecting shapes — “You can only name precisely what you can do.” · Rotating shapes — “Rotations demand the fullest descriptions — centre, angle, direction.” · Enlarging shapes

Geometric reasoning chains

Find an angle through several steps, citing a named reason for every claim — the start of proof.

Builds on: Angles in parallel lines — “Parallel-line facts are the standard links in the chain.” · Angles in polygons — “Angle-sum facts supply the reasons you'll cite.”

Plans & elevations

Draw a solid from the front, the side and above — three flat views that pin down one 3D shape.

Builds on: Nets of 3D shapes — “Nets flatten surfaces; elevations flatten views.” · Naming 3D solids

Mutually exclusive events

Events that can't happen together — only then may you add their probabilities.

Builds on: Probabilities sum to 1 — “Adding chances is only legal when events can't overlap — sum-to-1 sets the stage.”

Venn diagrams for probability

Sort outcomes into overlapping circles — the overlap is where 'both' lives.

Builds on: Listing outcomes systematically · Mutually exclusive events — “Venn regions show exactly when adding would double-count.”

Two-way tables

Cross-classify people or outcomes by two questions at once, then read chances from the cells.

Builds on: Sample space diagrams — “A two-way table is a sample space that grew labels.” · Tally charts & frequency tables

Frequency trees

Follow counts through two splits — 200 people branch into groups at every fork.

Builds on: Experimental probability · Two-way tables — “Two-way tables split once; trees split twice.”

Independent events

One event happening tells you nothing about the other — coins have no memory.

Builds on: Probabilities sum to 1 — “Independence talk needs sure-footed single-event probability.” · Theory versus experiment

Choosing a probability model

Decide how to get a probability: count equally likely outcomes, run an experiment, or use data.

Builds on: Fair or biased? · Theory versus experiment — “Choosing a model means knowing how theory and experiment each fail.”

Estimating a grouped mean

When data is grouped, use each class midpoint to estimate the mean — an estimate, and honestly so.

Builds on: Averages from frequency tables — “Frequency-times-value first; midpoints are that trick under uncertainty.” · Grouped frequency tables — “Midpoints stand in for values the grouping hid.”

Line of best fit

Draw one straight line through the middle of a scatter cloud, then use it to predict — carefully.

Builds on: Scatter graphs & correlation — “The line summarises a cloud you can already read.”

Correlation is not causation

Ice cream sales and drownings rise together — the correlation is real, the cause is the summer.

Builds on: Scatter graphs & correlation — “First see the pattern, then question its story.”

Comparing two distributions

Compare two datasets properly: quote an average and a measure of spread, in context.

Builds on: Choosing the right average · Averages & range — “A comparison quotes an average and the spread.”

Misleading graphs

Truncated axes, stretched scales, cherry-picked windows — how honest data gets dishonest clothes.

Builds on: Bar charts — “You spot a rigged axis by knowing the honest one.” · Interpreting pie charts

Quadratic expressions

Expand and factorise with x² — the next algebra.

Builds on: Collecting like terms — “Like terms keep x² tidy.” · Multiplying & dividing negatives — “Sign slips are where double brackets die.” · Expanding and simplifying — “Expand-and-collect is the whole of double brackets.” · Graphs of quadratics

Trigonometry first steps

Sine, cosine and tangent as ratios in right-angled triangles.

Builds on: Pythagoras: the hypotenuse · Ratio & proportion problems · Angles in polygons — “Trig lives inside triangles’ angle facts.”

Combined events

Two dice, two spinners — multiplying chances.

Builds on: Sample space diagrams — “Two dice need the grid before the multiplication.” · Independent events — “Multiplying chances assumes the events ignore each other.” · Probability of single events — “Two dice are two single events, multiplied.”

Surds: exact roots

Keep √2 as √2 — an exact answer instead of a rounded one.

Builds on: Squares, cubes & roots — “Surds are roots that refuse to simplify — know roots first.” · Estimating roots — “Exact roots matter once you've felt approximations wobble.”

Error intervals

A rounded number hides a range — write the interval of values it could have been.

Builds on: Significant figures — “The interval's width is set by the rounding you applied.”

Fractional indices

A power of ½ means square root — indices and roots turn out to be one system.

Builds on: Squares, cubes & roots · Negative & zero indices — “Half-powers extend the same pattern past zero and the negatives.”

Recurring decimals to fractions

Turn 0.363636… into 4/11 with an equation trick — multiply, subtract, solve.

Builds on: Solving two-step linear equations — “The trick is solving a two-step equation.” · Recurring decimals — “You can only convert a repeat you can notate.”

Solving quadratics by factorising

If two brackets multiply to zero, one of them is zero — the first quadratic solving method.

Builds on: One-step equations · Quadratic expressions — “A factorised quadratic hands you its roots.”

Function notation f(x)

Write rules as f(x) = 3x + 2 and read f(5) as 'feed in 5' — tidier packaging for machines you know.

Builds on: Substituting into expressions — “f(3) is substitution with tidier packaging.” · Function machines

Rearranging multi-step formulae

Change the subject when it appears in several steps — brackets, fractions and all.

Builds on: Unknowns on both sides · Rearranging simple formulae — “Two-step subjects before tangled ones.”

Quadratic sequences

Sequences whose differences change steadily — the n² family, one peek ahead.

Builds on: Recognising special sequences · nth term of linear sequences — “Linear nth terms first — the difference of differences comes next.”

Compound interest

Money growing by the same percentage each year — repeated multipliers, with savings attached.

Builds on: Percentage multipliers — “No multipliers, no compounding.” · Repeated percentage change — “Compound interest is repeated percentage change with money attached.”

Proportion formulae

Write y = kx or y = k/x from a description, find k, and use the formula.

Builds on: Direct proportion y = kx — “y = kx must mean something before you write it down.” · Inverse proportion — “Half the formulae here are the inverse kind.” · Rearranging simple formulae

Arcs & sectors

A slice of circle: the angle tells you what fraction of the circumference and area you keep.

Builds on: Circumference of a circle — “An arc is a fraction of a circumference you can already find.” · Area of a circle — “A sector is a fraction of an area you can already find.” · Fractions of amounts

Column vectors

Write a slide as a column vector — across and up in one bracket.

Builds on: Translating shapes — “Column vectors formalise the slides you've been doing.” · Coordinates in four quadrants

Trigonometry: finding angles

Use inverse sin, cos and tan to recover an angle from two sides.

Builds on: Trigonometry first steps — “Finding angles inverts the ratios — meet them forwards first.”

Tree diagrams

Draw branching chances for two-stage events — multiply along the branches, add down the ends.

Builds on: Independent events — “Branch probabilities multiply only when events are independent.” · Multiplying fractions · Combined events — “Trees draw the multiplication of chances.”

Sampling & bias

You can't ask everyone — how you choose who to ask decides what your data is worth.

Builds on: Experimental probability · The data-handling cycle — “Sampling is the collect step, interrogated.”

Frequency polygons

Join the midpoints of grouped data — a line that lets two distributions share one grid.

Builds on: Line graphs over time · Grouped frequency tables — “No classes, no midpoints to join.”

Quartiles & interquartile range

Cut the ordered data into quarters — the middle half's width is a spread outliers can't wreck.

Builds on: Outliers & their effect · Averages & range — “Quartiles slice the ordered list the median already cut.”

Energy stores & transfers

Track where energy starts, moves and ends up.

Speed = distance ÷ time

Calculate speed and read distance–time graphs.

Builds on: Ratio notation (MATH)

Forces & balance

Identify forces and reason about balanced pairs.

Light & sound basics

How waves carry energy — reflection, pitch, loudness.

Energy in food

Food labels measure energy in kilojoules — the same energy that moves muscles and keeps you warm. Comparing labels turns lunch into physics.

Builds on: Energy stores & transfers — “Food is an energy store — the store idea has to come first.”

Renewable and non-renewable resources

Where the country's energy comes from: sources that top themselves up (wind, sun, waves) and sources that run down (coal, oil, gas).

Builds on: Energy stores & transfers — “Renewable or not, every resource is a store we've learned to tap.”

Temperature is not energy

A spark is hotter than a bath, but the bath holds far more energy. Temperature says how hot; energy says how much.

Builds on: Energy stores & transfers — “Temperature and energy only pull apart once you can track the energy.”

Contact and non-contact forces

Some forces need touching — pushes, pulls, friction. Others act across a gap: gravity, magnetism and static electricity.

Measuring forces in newtons

Force has a unit — the newton — and a tool, the newtonmeter, whose spring stretches by an amount you can read off.

Builds on: Contact and non-contact forces — “You measure forces once you know what counts as one.”

Drawing force diagrams

Each force becomes a labelled arrow: longer means stronger, and the direction shows which way it pushes or pulls.

Builds on: Contact and non-contact forces — “Every arrow you draw is a force you first learned to spot.”

Friction and drag

Surfaces and air push back against motion. Friction grips, drag slows — sometimes a nuisance, sometimes exactly what you want.

Builds on: Contact and non-contact forces — “Friction only makes sense as a force pushing back.” · Measuring forces in newtons

Stretching springs

Pull a spring with twice the force and it stretches twice as far — until you overdo it. That tidy pattern is Hooke's law.

Builds on: Contact and non-contact forces · Measuring forces in newtons — “Hooke's pattern comes out of measuring pull after pull.”

Vibrations make sound

Every sound starts with something shaking — a string, a drum skin, your voice box. Stop the vibration and the sound stops with it.

Pitch and frequency

Faster vibrations sound higher. Frequency counts the vibrations per second, in hertz — pitch is how our ears report it.

Builds on: Vibrations make sound — “Pitch is how fast the vibration repeats — no vibration, no pitch.” · Light & sound basics

Loudness and amplitude

Bigger vibrations sound louder. Amplitude measures the size of the vibration; decibels report the loudness we hear.

Builds on: Vibrations make sound — “Loudness is the size of the shake, so the shake comes first.” · Light & sound basics

Sound needs a medium

Sound travels as particles bumping their neighbours, so it needs something to travel through — no air, no sound, which is why space is silent.

Builds on: Vibrations make sound — “Only when sound is a travelling vibration does 'no air, no sound' follow.” · The particle model of matter

Magnets: poles push and pull

Every magnet has a north and a south pole. Unlike poles attract, like poles repel — and no amount of cutting removes a pole.

Plotting magnetic field lines

The invisible region where a magnet acts can be mapped: a small compass or iron filings trace field lines looping from north pole to south.

Builds on: Magnets: poles push and pull — “Field lines map pushes and pulls you've already felt.”

Earth's magnetic field

The Earth behaves like a giant bar magnet, which is why a free-swinging compass needle settles pointing north.

Builds on: Magnets: poles push and pull — “A compass needle is one magnet answering another — the other is Earth.” · Plotting magnetic field lines

Static electricity: charging by rubbing

Rubbing some materials moves electrons between them and leaves each one charged — enough to lift hair, crackle a jumper or stick a balloon to a wall.

Forces between charges

Like charges push apart and unlike charges pull together, without touching — electricity's version of magnetic attraction and repulsion.

Builds on: Contact and non-contact forces · Static electricity: charging by rubbing — “First you charge things; then you study how they push and pull.”

The particle model of matter

Everything is made of tiny particles in constant motion. How tightly they hold together decides whether stuff is solid, liquid or gas.

Drawing particle diagrams

Circles in boxes, drawn honestly: touching and ordered for solids, touching and jumbled for liquids, far apart for gases.

Builds on: The particle model of matter — “You can't draw the particles until you believe in them.”

Melting and freezing

Warm a solid and its particles shake until the structure loosens into liquid; cool it and the order returns. Same particles, different grip.

Builds on: The particle model of matter — “Melting is particles loosening their grip — the model does the explaining.” · Drawing particle diagrams

Evaporating, boiling and condensing

Particles at a liquid's surface can escape into gas at any temperature; boiling is escape from everywhere at once; condensing is the return trip.

Builds on: The particle model of matter — “Evaporation is particles escaping — pure particle model.” · Melting and freezing

Diffusion: particles spreading out

Because particles never stop moving, smells cross rooms and squash spreads through water — no stirring required.

Builds on: The particle model of matter — “Diffusion is what restless particles can't help doing.” · Drawing particle diagrams

Day, night and Earth's spin

The Earth turns once a day, carrying you into and out of the Sun's light. Sunrise is not the Sun moving — it is you.

Seasons and the tilted Earth

The Earth orbits the Sun once a year, leaning at a constant tilt. Summer is when your half leans towards the Sun — higher sun, longer days — not when the Earth is closer.

Builds on: Day, night and Earth's spin — “Seasons ride on the spin-and-orbit picture that day and night set up.” · The solar system

The solar system

Eight planets orbit the Sun; moons orbit planets. Knowing the map — what circles what, and roughly how far — anchors everything else in space.

Current & simple circuits

Build circuits; measure current and voltage.

Builds on: Static electricity: charging by rubbing — “Current is charge on the move — static hands you the charge idea.”

Pressure & moments

Levers, turning forces and pressure in fluids.

Builds on: Forces & balance — “Moments are forces given a lever arm.”

Electromagnets

Coils, cores and fields you can switch off.

Builds on: Current & simple circuits — “No electromagnet without a working circuit.” · Plotting magnetic field lines

Power ratings on appliances

The watts printed on a kettle or charger say how fast it moves energy, not how much it holds.

Builds on: Energy stores & transfers — “A power rating is a transfer speed — transfers first, ratings second.”

The kilowatt-hour

Electricity bills count kilowatt-hours: run a one-kilowatt appliance for one hour and you have bought one unit.

Builds on: Power ratings on appliances — “A kilowatt-hour is a power rating times time; without the rating, the unit is noise.”

Conduction: heat through solids

Energy passes through a solid as jiggling particles nudge their neighbours — fast in metals, slow in wood or wool.

Builds on: Temperature is not energy — “Conduction is energy flowing from hot to cold — that difference has to mean something first.” · The particle model of matter

Convection: heat by flow

Warmed liquid or gas expands, becomes less dense and rises, carrying energy with it — the reason one radiator can heat a whole room.

Builds on: Temperature is not energy — “Convection moves energy down a temperature difference — no difference, no flow.” · Conduction: heat through solids · Density: how tightly matter packs — “Warm fluid rises because it's less dense — no density, no convection.”

Thermal radiation

Hot things give off energy as invisible radiation that crosses empty space — it is how the Sun warms the Earth with nothing in between.

Builds on: Temperature is not energy — “You can't see why hot things radiate until temperature means energy.” · Light travels in straight lines

Resultant force

Forces along a line combine into one overall force: add the pushes one way, subtract the other way, and see what is left.

Builds on: Drawing force diagrams — “You can't add arrows you haven't drawn.” · Friction and drag · Forces & balance — “Resultant force is 'balanced or not?' made precise.”

Pressure = force ÷ area

The same push hurts more through a drawing pin than a thumb — spreading force over area is what pressure measures.

Builds on: Measuring forces in newtons · Pressure & moments — “P = F ÷ A turns the pressure idea into a number.”

Pressure in liquids

Water pushes harder the deeper you go, and it pushes in every direction — which is why dams are built thicker at the bottom.

Builds on: Pressure = force ÷ area · Pressure & moments — “Pressure with depth builds on knowing what pressure is at all.”

Atmospheric pressure

We live at the bottom of an ocean of air, and its weight presses on everything. Climb higher and the press gets weaker.

Builds on: Pressure in liquids — “The atmosphere is the liquid-pressure argument run in air.”

Floating and upthrust

Water pushes up harder on the bottom of an object than down on its top — the difference is upthrust, and floating is upthrust matching weight.

Builds on: Pressure = force ÷ area · Pressure in liquids — “Upthrust is the pressure gap between an object's top and its bottom — depth does the lifting.” · Density: how tightly matter packs

Hearing and the ear

The ear turns air vibrations into signals: the eardrum shakes, tiny bones pass it on, and the range we can hear narrows as we age.

Builds on: Vibrations make sound — “The ear is a vibration detector — you need to know what it detects.” · Loudness and amplitude · Sound needs a medium

Light travels in straight lines

Light does not bend round corners on its own — it travels in straight lines, which is why shadows are sharp and we cannot see round walls.

Builds on: Light & sound basics — “From 'light bounces' to rules — straight lines are rule number one.”

Reflection: angle in, angle out

Light bounces off a mirror as neatly as a snooker ball off a cushion: the angle coming in equals the angle going out.

Builds on: Light travels in straight lines — “Angle-in-equals-angle-out only means something on straight-line paths.”

Drawing ray diagrams

Ray diagrams turn light into ruler lines and arrows, so you can work out where an image forms instead of guessing.

Builds on: Light travels in straight lines — “A ray diagram is the straight-line rule turned into a drawing.” · Reflection: angle in, angle out

Refraction: light changes direction

Light changes speed when it enters glass or water, and that change of speed bends its path — the reason a straw looks broken in a drink.

Builds on: Light travels in straight lines — “You only notice bending when you expected straight.” · Drawing ray diagrams

How the eye focuses light

The cornea and lens bend incoming light to a sharp point on the retina — a camera does the same job with glass and a sensor.

Builds on: Light travels in straight lines · Refraction: light changes direction — “The eye is a refraction machine — bending light to a point is its whole job.”

Circuit symbols and diagrams

Circuits are drawn in an international shorthand — neat symbols and straight lines — so anyone can read or build the same circuit.

Builds on: Current & simple circuits — “The symbols stand for components you've met in real circuits.”

Current around a series loop

Current is the flow of charge round the loop, and in a series circuit it is the same everywhere — nothing gets used up on the way.

Builds on: Current & simple circuits — “You trace current round a loop you can already build and measure.” · Circuit symbols and diagrams

Voltage: the electrical push

Physicists call it potential difference: the push a battery gives the charge. More volts means more energy per charge — and brighter bulbs.

Builds on: Current & simple circuits — “Voltage readings need a circuit to read them in.” · Current around a series loop

Series vs parallel circuits

Components in one loop share the push; components on separate branches each get the full push — the reason your lights do not all die together.

Builds on: Circuit symbols and diagrams · Current around a series loop — “Parallel rules are the series rules with a junction to negotiate.”

Heating and expansion

Heated particles jiggle harder and take up more room, so solids, liquids and gases all swell slightly when warm — bridges are built with gaps for exactly this.

Builds on: Temperature is not energy · The particle model of matter — “Expansion is particles claiming more room as they jiggle harder.”

Brownian motion

Smoke grains under a microscope jitter as if alive — knocked about by air particles too small to see. It was the first direct evidence that particles exist.

Builds on: The particle model of matter — “Brownian motion is the particle model caught on camera.” · Diffusion: particles spreading out

Density: how tightly matter packs

Density compares how much mass fits into a space. A kilogram of feathers and a kilogram of iron weigh the same — they just take up very different rooms.

Builds on: The particle model of matter — “Density is how tightly the particles pack — the model supplies the picture.”

Phases of the Moon

Half the Moon is always sunlit; the phase is simply how much of that lit half faces us as the Moon circles Earth each month.

Builds on: Light travels in straight lines · Day, night and Earth's spin · The solar system — “You need the Sun–Earth–Moon layout before you can light it correctly.”

Solar and lunar eclipses

When Sun, Moon and Earth line up exactly, one body shadows another: the Moon blocks the Sun, or the Earth shades the Moon. Rare, because the line-up must be perfect.

Builds on: Light travels in straight lines · Phases of the Moon — “Eclipses are the phase story's special alignments.”

Mass vs weight

Mass is how much stuff you are made of, in kilograms; weight is gravity's pull on that stuff, in newtons. Leave Earth and your weight changes — your mass does not.

Builds on: Contact and non-contact forces — “Weight is a non-contact pull — that's what splits it from mass.” · Forces & balance

Calculating weight (W = m × g)

Weight = mass × gravitational field strength. On Earth every kilogram is pulled with about 10 newtons — so your weight is your mass with a g attached.

Builds on: Mass vs weight — “You can only calculate weight once it stops meaning mass.”

Newton’s laws (qualitative)

Why things keep moving, speed up, or push back.

Builds on: Contact and non-contact forces · Friction and drag · Forces & balance — “The laws formalise your balanced-forces intuition.”

Rearranging F = ma

Use and rearrange F = ma to find any one of the three.

Builds on: Solving two-step linear equations (MATH) — “F = ma is a two-step equation wearing a lab coat — rearranging it IS maths.” · Acceleration: speeding up, slowing down — “F = ma only means something once acceleration is a quantity you can point to.” · Newton’s laws (qualitative) — “Rearranging only helps once the law itself makes sense.”

Energy is always conserved

Energy is never created or destroyed — it only moves between stores. The total before always equals the total after.

Builds on: Energy stores & transfers — “Conservation is a claim about stores: nothing appears, nothing vanishes.”

Dissipation: energy spreading out

Energy tends to spread into warm, thin, hard-to-use forms — nothing is lost, but not all of it stays useful.

Builds on: Temperature is not energy · Energy is always conserved — “Dissipation is conservation's fine print — the total survives, the usefulness doesn't.”

Sankey diagrams

An arrow diagram where width means amount of energy: the useful share flows on, the wasted share branches off.

Builds on: Percentages of amounts (MATH) · Energy stores & transfers · Dissipation: energy spreading out — “A Sankey diagram is a picture of dissipation — you draw what thins out.”

Work = force × distance

Pushing something along transfers energy: the bigger the force and the further it moves, the more energy is transferred. That transfer is called work.

Builds on: Energy is always conserved · Measuring forces in newtons · Forces & balance — “Work is force times distance — no feel for forces, no feel for work.”

Calculating moments

A moment is a force times its distance from the pivot — the physics of why a long spanner beats a short one.

Builds on: Measuring forces in newtons · Drawing force diagrams · Pressure & moments — “You calculate moments once turning forces are in your hands.”

Relative motion

Speed depends on who is watching: walk up a moving train and the platform sees you fly. Motion is always measured against something.

Builds on: Speed = distance ÷ time — “Relative motion is speed with an honest observer attached.”

Acceleration: speeding up, slowing down

Acceleration measures how quickly speed changes — a sports car and a pushed trolley differ not in whether they speed up, but in how fast.

Builds on: Inequalities on a number line (MATH) · Speed = distance ÷ time — “Acceleration is how speed changes — speed has to come first.” · Friction and drag

The language of motion

Speed, velocity and acceleration name three different ideas, even though everyday speech blurs them. Physics asks for the right word on purpose.

Builds on: Speed = distance ÷ time · Acceleration: speeding up, slowing down — “The words only sharpen once the ideas they separate exist.”

Splitting white light

White light is every colour travelling together. A prism bends each colour by a slightly different amount, fanning them into a spectrum.

Builds on: Refraction: light changes direction — “A prism splits white light by bending each colour differently — refraction does the splitting.”

Seeing colour: filters and surfaces

A red jumper reflects red light and absorbs the rest; a filter passes one colour and blocks the others. Colour is what is left after the subtracting.

Builds on: Reflection: angle in, angle out · Splitting white light — “You can't reason about filters until white light is a mixture.”

Echoes and the speed of sound

Sound takes time to travel — about 340 metres each second in air. Time an echo's return and you can measure a distance you cannot reach.

Builds on: Substituting into formulae (MATH) · Speed = distance ÷ time — “An echo is a speed–distance–time question with a bounce in it.” · Reflection: angle in, angle out

Resistance: what opposes current

Everything a current passes through resists it a little — long and narrow wires more so. More resistance means less current for the same push.

Builds on: Current around a series loop — “Less current for the same push — you must be able to read the current.” · Voltage: the electrical push — “Resistance is what the push has to overcome.” · Series vs parallel circuits

Calculating resistance (R = V ÷ I)

One measurement of voltage and one of current gives a component's resistance, in ohms — the circuit world's most useful ratio.

Builds on: Solving two-step linear equations (MATH) · Resistance: what opposes current — “The formula only summarises a relationship you've already seen.” · Rearranging F = ma

Making an electromagnet stronger

More turns of wire, more current or an iron core all boost an electromagnet — and a fair test shows exactly how much each one helps.

Builds on: Current around a series loop · Electromagnets — “You can't strengthen an electromagnet you haven't built.”

Fault-finding a circuit

When a circuit will not work, guessing wastes time. Predict what each part should do, test with a meter, and let every reading rule places out.

Builds on: Circuit symbols and diagrams · Current around a series loop — “To find the break, you must know what an unbroken loop does.” · Series vs parallel circuits

Calculating density

Density = mass ÷ volume. Weigh it, measure its space — a ruler for blocks, displaced water for awkward shapes — then divide.

Builds on: Substituting into formulae (MATH) · Density: how tightly matter packs — “The formula puts a number on packing you can already picture.”

Gas pressure: particles hitting walls

A gas pushes on its container because billions of particles drum against the walls every second — squash the gas or heat it, and the drumming rises.

Builds on: Temperature is not energy · Atmospheric pressure · The particle model of matter — “Gas pressure is particles drumming on the walls.”

Why ice floats

Water is odd: freezing opens its particles into a roomier structure, so ice is less dense than the water it came from. That is why ponds freeze from the top.

Builds on: Floating and upthrust · Melting and freezing · Density: how tightly matter packs — “Floating ice is a density puzzle.”

Gravity on other worlds

Every planet and moon has its own g. Jupiter pulls harder than Earth, the Moon far more gently — same you, different weight everywhere you land.

Builds on: The solar system · Calculating weight (W = m × g) — “Other worlds just change g — the formula shows you where.”

The Sun is a star

Our Sun is an ordinary star seen close up; every night-sky star is a sun seen from unimaginably far away. That one swap reorganises the whole sky.

Builds on: Renewable and non-renewable resources · The solar system — “The Sun joins the stars only once the solar system's layout is clear.”

Galaxies and the universe

Stars gather in galaxies of billions; our Sun sits in one arm of the Milky Way, and the universe holds billions of galaxies more. The scale is the lesson.

Builds on: The Sun is a star — “Galaxies are collections of suns — the Sun-as-star step comes first.”

The light year

Space is so vast we measure it in time: a light year is how far light travels in a year. The next star over is four of them away.

Builds on: Speed = distance ÷ time · The Sun is a star — “Light-year distances start to bite at star scale.”

Work, power & efficiency

Rating energy transfers: how much, how fast, how wasteful.

Builds on: Energy stores & transfers — “You can’t rate a transfer you can’t trace.” · Work = force × distance — “Power is work done per second — work comes first.” · Rearranging F = ma

Specific heat capacity

A first look at why some materials take ages to heat up: every material has its own price, in joules, for each degree of warming.

Builds on: Temperature is not energy — “Specific heat capacity puts a number on the gap between temperature and energy.” · The kilowatt-hour

Terminal velocity

A first look at why falling things stop speeding up: drag grows with speed until it balances weight, and the fall settles at a steady top speed.

Builds on: Friction and drag — “Terminal velocity is drag catching up with weight.” · Calculating weight (W = m × g) · Newton’s laws (qualitative) — “It's Newton's first law arriving mid-fall.”

The wave equation

A first look at wave speed = frequency × wavelength: one tidy GCSE equation linking how often a wave repeats to how long each ripple is.

Builds on: Pitch and frequency — “The equation multiplies frequency — pitch's number — by wavelength.” · Echoes and the speed of sound

How an electric motor spins

A first look at the motor: put a current-carrying coil in a magnetic field and it feels a turning force. Everything from fans to trains rides on that trick.

Builds on: Magnets: poles push and pull · Making an electromagnet stronger · Electromagnets — “A motor is an electromagnet arranged to chase itself.”

Absolute zero

A first look at the coldest possible temperature: cool anything and its particles slow; at −273 °C the motion runs out and no colder exists.

Builds on: Temperature is not energy · The particle model of matter — “Absolute zero is the particle model's full stop — the jiggling runs out.” · Heating and expansion

Why satellites stay up

A first look at orbits: a satellite is falling towards Earth constantly, but moving sideways so fast it keeps missing. Gravity supplies the endless turn.

Builds on: Acceleration: speeding up, slowing down · The solar system · Gravity on other worlds — “Orbits are gravity's endless fall — you need gravity beyond Earth first.”

Particle model & states

Solids, liquids and gases as arrangements of particles.

Atoms, elements & compounds

The cast list of chemistry — what everything is made of.

Builds on: Particle model & states — “Atoms only make sense as the particles in the model.”

Separating mixtures

Filtering, evaporating, distilling — chosen by particle picture.

Builds on: Particle model & states — “Choosing a separation means picturing the particles.”

Melting & freezing

Heating gives particles enough energy for a solid's structure to give way into a liquid; freezing is the reverse. For a pure substance both happen at one fixed temperature.

Builds on: Particle model & states — “Melting is the particle arrangement giving way — no picture, no story.”

Boiling vs evaporating

Evaporation happens from the surface at any temperature; boiling happens throughout the liquid at one fixed temperature.

Builds on: Particle model & states — “Surface escape versus bulk bubbling is a particle-level distinction.” · Melting & freezing

Diffusion

Particles in liquids and gases move randomly and spread from crowded places to emptier ones — no stirring needed.

Builds on: Particle model & states — “Spreading smells only make sense once particles move on their own.”

Gas pressure

A gas pushes on its container because billions of tiny particles keep colliding with the walls.

Builds on: Particle model & states — “Pressure is particles drumming on the walls — you need the drummers.” · Diffusion

Dissolving & solutions

When a solute dissolves, its particles spread out between the solvent's particles. The sugar in tea has not vanished — it is hiding in the gaps.

Builds on: Particle model & states — “Sugar seems to vanish; the particle picture shows where it went.” · Diffusion

Pure substances & mixtures

In chemistry 'pure' means one substance only — one kind of particle throughout. Most everyday materials are mixtures.

Builds on: Particle model & states — “'One kind of particle or several' is the whole definition.” · Atoms, elements & compounds

Mass is kept in dissolving

When salt dissolves in water, the total mass stays exactly the same — the particles are still all there, just spread out.

Builds on: Dissolving & solutions — “You can't track dissolved mass until you can picture where it went.”

Chemical symbols

Every element has a one- or two-letter symbol — H, O, Na, Cl. The capital letter matters: Co is cobalt, CO is a compound of two elements.

Builds on: Atoms, elements & compounds — “Symbols are shorthand for elements — meet the elements first.”

Molecules

Atoms often travel joined in fixed groups called molecules — two oxygen atoms in O₂, one oxygen and two hydrogens in water.

Builds on: Atoms, elements & compounds — “A molecule is atoms holding hands; you need to know the hands.”

Compounds vs mixtures

In a compound the atoms are chemically joined in fixed proportions and hard to separate; in a mixture the substances just share the space and keep their own properties.

Builds on: Pure substances & mixtures — “Mixture was defined back with pure substances — this contrast leans on it.” · Atoms, elements & compounds — “Compound has to mean something before you can contrast it with mixture.”

Physical vs chemical change

A physical change (melting, dissolving) keeps the same substances and can usually be undone; a chemical change makes new substances.

Builds on: Atoms, elements & compounds — “'New substance or same substance' is the test — so 'substance' must be solid ground.” · Melting & freezing

A compound's new properties

When elements combine, the compound behaves nothing like its ingredients — table salt is nothing like sodium metal or chlorine gas.

Builds on: Molecules · Compounds vs mixtures — “The surprise only lands if you know the compound is genuinely new stuff.”

Properties of metals

Most metals share a checklist: shiny, strong, bendable, and good at conducting heat and electricity.

Builds on: Atoms, elements & compounds — “Metal or non-metal is a question you ask about an element.” · Describing properties precisely

Describing properties precisely

Using words like hard, strong, brittle, flexible and conductive to mean exactly one thing each — hard is not the same as strong.

Properties of non-metals

Non-metals are the mirror image: mostly dull, brittle when solid, poor conductors — and many are gases at room temperature.

Builds on: Atoms, elements & compounds — “Non-metals are elements too — the cast list comes first.” · Properties of metals

Signs of a chemical reaction

Clues that new substances are forming: an unexpected colour change, fizzing, a temperature change, or a new solid appearing.

Builds on: Physical vs chemical change — “Spotting a reaction means knowing what counts as genuinely new stuff.”

Combustion

Burning is a chemical reaction: a fuel combines with oxygen from the air, releasing energy and making new substances.

Builds on: Signs of a chemical reaction — “Burning is your first named reaction — recognise reactions in general first.” · The atmosphere's recipe

Word equations

Recording a reaction as a sentence: reactants on the left, an arrow for the change, products on the right.

Builds on: Atoms, elements & compounds · Signs of a chemical reaction — “An equation records a reaction — have something to record.”

Everyday acids & alkalis

Acids and alkalis are already in the house — lemon juice and vinegar on one side, soap and oven cleaner on the other.

Using indicators

An indicator is a dye that changes colour to answer one question: is this an acid or an alkali?

Builds on: Dissolving & solutions · Everyday acids & alkalis — “Indicators answer 'acid or alkali?' — meet the contenders first.”

Hazard symbols

The warning pictograms on bottles — corrosive, toxic, flammable — and what each one tells you to do differently.

Structure of the Earth

The planet in cross-section: a thin rocky crust, a hot slowly-moving mantle, and a metal core.

Weathering of rocks

Rocks are slowly broken up where they stand — by ice in cracks, by weak acids in rain, and by plant roots.

The atmosphere's recipe

Air is a mixture with a stable recipe: about four-fifths nitrogen, one-fifth oxygen, and small traces including carbon dioxide.

Builds on: Pure substances & mixtures — “Air is your best everyday mixture — 'mixture' must mean something precise.”

The periodic table

The organising shelf for every element.

Builds on: Atoms, elements & compounds — “The table organises elements — know what one is first.”

Chemical reactions & equations

Atoms rearrange; word and symbol equations record it.

Builds on: Atoms, elements & compounds — “Reactions rearrange atoms; you need the cast list.” · Signs of a chemical reaction · Word equations — “Word equations are the sentence; symbol equations are the spelling.”

Acids, alkalis & pH

The pH scale and neutralisation.

Builds on: Chemical reactions & equations · Everyday acids & alkalis — “You need to have met acids and alkalis before scaling them.”

Reading heating curves

A graph of temperature against time flattens while a substance melts or boils — the energy is busy changing the state, not the temperature.

Builds on: Melting & freezing — “The flat step on the graph is melting — recognise the event before the graph.” · Boiling vs evaporating

Solubility & saturation

There is a limit to how much solute a solvent can hold; a solution at that limit is saturated. Warming the solvent usually raises the limit.

Builds on: Dissolving & solutions — “Saturation is dissolving meeting its limit.” · Pure substances & mixtures

Chromatography

Separating a mixture of dissolved substances — inks, dyes, plant pigments — by how far each one travels up wet paper.

Builds on: Dissolving & solutions — “Chromatography only separates what dissolves.” · Separating mixtures

Brownian motion — the evidence

Smoke grains in air jiggle endlessly because unseen air particles keep bumping into them — the particle model, caught on camera.

Builds on: Particle model & states — “The jiggling grains are meaningless until you know what's bumping them.” · Diffusion

Reading chemical formulae

A formula like H₂O is a recipe: the small subscript counts the atoms of the element just before it.

Builds on: Chemical symbols — “Formulae are built from symbols — read the letters before the words.” · Molecules — “H₂O describes a molecule; the idea comes before the notation.”

Naming compounds: -ide and -ate

Compound names carry information: -ide means two elements only, -ate means oxygen has joined the pair.

Builds on: Chemical symbols · Compounds vs mixtures — “You're naming compounds, so 'compound' must already be clear.”

Counting atoms in formulae

Work out exactly how many atoms of each element a formula contains — including formulae with brackets, like Ca(OH)₂.

Builds on: Reading chemical formulae — “Counting atoms starts from reading the formula correctly.”

Particle diagrams of substances

Drawing and reading circle diagrams that show whether a box of particles is an element, a compound or a mixture.

Builds on: Particle model & states — “The diagrams are particle pictures — drawn, not imagined.” · Compounds vs mixtures — “Mixed versus chemically joined is exactly what these diagrams show.”

Polymers: long-chain molecules

Plastics are polymers — molecules thousands of atoms long, built from one small unit repeated over and over.

Builds on: Molecules — “A polymer is one molecule repeated thousands of times — molecule comes first.”

Groups & periods

The table's columns are groups — families with similar behaviour; the rows are periods. An element's address hints at its character.

Builds on: The periodic table — “Groups and periods are the table's grammar — meet the table first.”

Group 1: the alkali metals

Soft metals that react eagerly with water — and more eagerly the further down the group you go.

Builds on: Properties of metals · Groups & periods — “Group 1 only means something once columns are families.” · Signs of a chemical reaction

Group 7: the halogens

A family of reactive non-metals — fluorine, chlorine, bromine, iodine — whose reactivity fades down the group.

Builds on: Properties of non-metals · Groups & periods — “Group 7 is a column story — you need the columns.”

Group 0: the noble gases

The unreactive family — helium, neon, argon — useful precisely because they refuse to join in.

Builds on: Groups & periods — “Group 0's calm only stands out inside the table's pattern.”

Conservation of mass

In a chemical reaction atoms are rearranged, never lost — so the mass before equals the mass after, once you count any gases.

Builds on: Particle diagrams of substances · Chemical reactions & equations — “Conservation is a claim about equations: both sides carry the same atoms.”

Thermal decomposition

Some compounds break apart into simpler substances when heated — one substance in, two or more out.

Builds on: Compounds vs mixtures · Chemical reactions & equations — “Breaking apart is still a reaction — the general idea comes first.”

Oxidation

Reactions where a substance combines with oxygen — from a metal slowly tarnishing to a fuel burning fast.

Builds on: Combustion — “Burning is oxidation at full volume; rusting whispers the same reaction.” · Chemical reactions & equations

Exothermic & endothermic

Some reactions push energy out and warm their surroundings; others draw energy in and cool them. The thermometer tells you which.

Builds on: Reading heating curves · Signs of a chemical reaction — “The temperature change you felt is the sign being explained.” · Energy stores & transfers (PHYS)

The reactivity series

Metals ranked by how eagerly they react — a league table that predicts winners before you mix anything.

Builds on: Properties of metals — “It's a league table of metals — you need to know the players.” · Signs of a chemical reaction

Displacement reactions

A more reactive metal takes the place of a less reactive one in a compound — a takeover you can watch in a test tube.

Builds on: Word equations · The reactivity series — “Displacement is the league table settling an argument — you need the rankings.”

Neutralisation

Mixing an acid and an alkali in the right amounts cancels both out, making a salt and water.

Builds on: Word equations · Acids, alkalis & pH — “Neutralisation is a journey along the pH scale — learn the map first.”

Measuring pH accurately

Moving from 'roughly green' to a number — matching universal indicator carefully or using a pH probe.

Builds on: Using indicators — “Careful measurement refines the colour-matching you already do.” · Acids, alkalis & pH — “A reading only means something on a scale you understand.”

Acids + metals

Many metals fizz in acid, making a salt and hydrogen gas — the more reactive the metal, the livelier the fizz.

Builds on: The reactivity series · Acids, alkalis & pH — “You need to know what an acid is before handing it a metal.”

The three rock families

Sedimentary rock is squeezed from layers of fragments, igneous rock is cooled magma, and metamorphic rock is either one changed by heat and pressure.

Builds on: Structure of the Earth — “Each rock family is born at a different depth — you need the floor plan.” · Weathering of rocks

The rock cycle

One diagram that links the three families: over deep time, any rock can be broken down, buried, squeezed, melted and remade as another.

Builds on: Weathering of rocks · The three rock families — “The cycle links the three families — meet them before you loop them.”

Concentration

Compare and calculate how crowded a solution is.

Builds on: Dissolving & solutions — “Concentration describes a solution — meet solutions first.” · Separating mixtures · Ratio & proportion problems (MATH) — “Concentration is a ratio: how much stuff in how much water.”

Limits of the particle model

The simple model treats particles as identical hard balls with nothing between them. Knowing where that picture breaks down is part of using it well.

Builds on: Particle model & states — “You have to know the model well before you're allowed to doubt it.” · Gas pressure · Brownian motion — the evidence

Writing simple formulae

Going from a compound's name to its formula for simple cases — magnesium oxide is MgO, sodium chloride is NaCl.

Builds on: Reading chemical formulae — “You can't write in a notation you can't yet read.” · Naming compounds: -ide and -ate

Ceramics & composites

Ceramics are hard, brittle and heatproof; composites combine two materials to get the best of both. A material's behaviour is chosen when its structure is.

Builds on: Polymers: long-chain molecules · Describing properties precisely — “Comparing material families needs precise property words.”

How small is an atom?

Atoms are about a ten-millionth of a millimetre across — a scale best handled with powers of ten.

Builds on: Atoms, elements & compounds — “Before asking how small an atom is, know what one is.” · Standard form: large numbers (MATH)

Predicting with periodic trends

Using a group's pattern to predict how an element you have never met will behave — the table as a forecasting tool.

Builds on: Group 1: the alkali metals — “Group 1's staircase of reactivity is the trend you'll extend.” · Group 7: the halogens — “Group 7 runs the opposite way — predicting needs both directions.”

Mendeleev's gaps

Mendeleev left holes in his table for elements nobody had found — and described them in advance. The gaps were the theory's boldest test.

Builds on: The periodic table — “The gaps are holes in the table — you need the table.” · Predicting with periodic trends

Metals to non-metals across a period

Reading a row from left to right, elements shift from metal to non-metal, with the in-between cases along the staircase line.

Builds on: Properties of metals · Properties of non-metals · Groups & periods — “Reading across a period is reading the table's rows — learn its layout first.”

Balancing symbol equations

Adjusting the big numbers in a symbol equation until both sides carry exactly the same atoms — bookkeeping for matter.

Builds on: Counting atoms in formulae — “You balance by counting atoms, so counting must be automatic.” · Conservation of mass — “Conservation of mass is the law balancing enforces.” · Chemical reactions & equations — “Balancing is symbol equations done properly — the notation comes first.”

Catalysts

A catalyst speeds a reaction up without being used up — it is all still there at the end, ready to go again.

Builds on: Exothermic & endothermic · Chemical reactions & equations — “A catalyst speeds a reaction — reactions first.”

Testing common gases

Identifying a mystery gas with a small, sharp test: a squeaky pop for hydrogen, a relit splint for oxygen, milky limewater for carbon dioxide.

Builds on: Signs of a chemical reaction — “Each gas test is a tiny reaction with one visible sign.” · Combustion

Comparing fuels fairly

Judging fuels by measuring the temperature rise they cause — with everything but the fuel kept the same.

Builds on: Combustion — “You're measuring burning, so know what burning is.” · Exothermic & endothermic — “Comparing fuels is comparing energy out — exothermic thinking, applied.” · Averages & range (MATH)

Rusting & its prevention

Iron rusts only when water and oxygen both reach it — so barriers, grease and sacrificial metals all work by shutting one of them out.

Builds on: Oxidation — “Rust is slow oxidation; stop the oxygen and you stop the rust.” · The reactivity series

Acids + carbonates

Acids fizz with carbonates too — but the gas this time is carbon dioxide, and limewater proves it.

Builds on: Testing common gases · Acids, alkalis & pH — “Acid chemistry first; the fizz is a special case.”

Making a salt

The full practical: neutralise, filter off any extra solid, then evaporate gently until dry crystals appear.

Builds on: Separating mixtures — “Getting dry crystals out is a separation job — filter, then evaporate.” · Hazard symbols · Neutralisation — “Making a salt is neutralisation with a product worth keeping.”

Naming salts

The acid chooses the surname: hydrochloric acid makes chlorides, sulfuric acid makes sulfates, nitric acid makes nitrates.

Builds on: Naming compounds: -ide and -ate · Neutralisation — “You name what neutralisation makes — make it first.”

Neutralisation in daily life

Indigestion tablets, toothpaste and farmers' lime are all the same move: adding a mild alkali to cancel an unwanted acid.

Builds on: Neutralisation — “Indigestion tablets are neutralisation with the labels swapped for brand names.” · Measuring pH accurately

The carbon cycle

Carbon keeps moving — from air to plants, through food and fuels, and back to the air — with photosynthesis and combustion as two of the main valves.

Builds on: Photosynthesis — the word equation (BIOL) · Combustion · The atmosphere's recipe — “Carbon dioxide is a trace of the recipe — the recipe comes first.”

Greenhouse effect & climate

Carbon dioxide and other greenhouse gases hold warmth in the atmosphere; adding more of them tilts the planet's energy balance.

Builds on: The carbon cycle — “You can't weigh a disturbance to a cycle you can't trace.” · Weather vs climate (GEOG)

Fossil fuels are finite

Coal, oil and gas took millions of years to form and are being burned far faster — a store that empties in one direction.

Builds on: Combustion — “Fossil fuels matter because they burn — combustion is the point.” · The carbon cycle

Extracting metals from ores

Most metals are dug up locked inside compounds called ores; carbon can push the less reactive ones out — that is how iron is won.

Builds on: The reactivity series — “Carbon can only evict metals below it — the league table decides.” · Structure of the Earth

Recycling & finite resources

The Earth's stores of metals and fuels are limited; recycling trades a little effort now for ore and energy saved later.

Builds on: Extracting metals from ores — “You can't weigh recycling's case without knowing what extraction costs.”

Moles — counting by weighing

Scaling from grams to numbers of atoms.

Builds on: Balancing symbol equations · Concentration — “Moles scale the concentration idea down to atoms.”

Inside the atom

A GCSE peek: atoms have their own parts — protons and neutrons in a tiny nucleus, electrons around it.

Builds on: Atoms, elements & compounds — “Splitting the atom's story open only works once the atom itself is familiar.” · How small is an atom?

Ions — atoms with a charge

A GCSE peek: when an atom loses or gains electrons it becomes charged — an ion. Salts are built from them.

Builds on: Inside the atom — “Ions are atoms with electrons missing or gained — you need the electrons.”

Electrons explain the table

A GCSE peek: the table's shape comes from how electrons arrange themselves — group number matches the outer electrons.

Builds on: Groups & periods — “The pattern being explained is groups and periods.” · Inside the atom — “Electron arrangements explain the table — you need the electrons.”

Rates of reaction

A GCSE peek: reactions go faster when particles collide more often or harder — heat, concentration and surface area all raise the collision rate.

Builds on: Gas pressure · Catalysts — “Catalysts opened the speed question; collision theory answers it.” · Concentration

Strong & weak acids

A GCSE peek: two acids at the same concentration can have different pH — some acids simply hold their hydrogen back.

Builds on: Acids, alkalis & pH — “Strong versus weak refines what 'acidic' means — the scale comes first.” · Measuring pH accurately

Earth's early atmosphere

A GCSE peek: the air was not always like this — early volcanoes made a carbon-dioxide-rich sky, and life slowly rewrote the recipe.

Builds on: The atmosphere's recipe — “Today's recipe is the puzzle; the early atmosphere is the backstory.” · The carbon cycle

Life-cycle assessment

A GCSE peek: judging a product fairly means costing its whole life — raw materials, making, use and disposal — not just the shelf price.

Builds on: Polymers: long-chain molecules · Recycling & finite resources — “Life-cycle assessment is the recycling argument, done formally.”

Making water safe to drink

A GCSE peek: potable water is separation at city scale — sieve, settle, filter, then sterilise; distil only when you must.

Builds on: Separating mixtures — “Making water drinkable is separating mixtures, scaled up to a city.” · Recycling & finite resources

Cells & microscopy

Plant and animal cells; using a microscope well.

Tissues → organs → systems

How cells team up into working bodies.

Builds on: Cells & microscopy — “Organs are teams of cells — meet the players first.” · Specialised cells

Animal cell structure

The parts every animal cell shares — nucleus, cytoplasm, membrane, mitochondria.

Builds on: Cells & microscopy — “You meet the cell's parts by first looking down the microscope.”

Plant cell extras

The three parts a plant cell adds: cell wall, chloroplast, vacuole.

Builds on: Animal cell structure — “A plant cell is the animal plan plus a few extras — learn the plan first.”

Specialised cells

How a cell's shape follows its job — a red blood cell, a nerve cell, a root hair.

Builds on: Animal cell structure — “A specialised cell is the basic cell, reshaped for a job.”

Diffusion

Particles spread from where they are crowded to where they are not.

Builds on: Animal cell structure

Photosynthesis — the word equation

Plants make food from carbon dioxide and water using light.

Builds on: Plant cell extras — “Photosynthesis happens in the chloroplast you found in the plant cell.”

Magnification & scale

Work out how much bigger the image is than the real thing.

Builds on: Cells & microscopy — “Scale only means something once you've used the microscope.”

The human skeleton

A frame that supports, protects and lets us move.

Antagonistic muscles

Muscles work in pairs — one pulls while the other relaxes.

Builds on: The human skeleton — “Muscles pull on the skeleton — you need the frame first.”

A balanced diet

The right nutrients in the right amounts for a healthy body.

Builds on: Nutrients & their jobs — “A balanced diet balances the nutrients you've named.”

Nutrients & their jobs

Carbohydrate, protein, fat, vitamins, minerals, fibre, water — what each is for.

Microbes: friend and foe

Not all microbes harm — some make bread, yoghurt and medicine.

Builds on: Cells & microscopy — “You can't study microbes without the microscope that reveals them.”

Puberty & adolescence

The physical and emotional changes that ready the body for reproduction.

Builds on: The human skeleton — “Puberty reshapes the growing body you've mapped.”

Flower structure

The parts of a flower and the job each does in reproduction.

Food chains

Who eats whom — and which way the energy flows.

Builds on: Habitats & adaptation — “A food chain links the organisms sharing a habitat.”

Habitats & adaptation

Where an organism lives, and the features that fit it there.

Life cycles

The loop from seed or egg to adult and back again.

Builds on: Flower structure

Identification keys

Sort living things by answering yes/no questions.

Builds on: Habitats & adaptation — “A key sorts the organisms you find in a habitat.”

Digestion & nutrition

Your first full system story, from plate to cell.

Builds on: Tissues → organs → systems — “Digestion is your first full system story.”

Respiration & breathing

Releasing energy in cells; moving gases in and out.

Builds on: Tissues → organs → systems — “Gas exchange needs the organ map.” · The gas exchange system · Chemical reactions & equations (CHEM)

Reproduction

Gametes, fertilisation and development.

Builds on: Cells & microscopy · Gametes & fertilisation — “Reproduction is the gamete story, told in full.”

Ecosystems & food webs

Interdependence: who eats whom, and what breaks.

Builds on: Food chains — “A food web is many food chains, interlinked.”

The leaf as an organ

How a leaf's layers are built for catching light and swapping gases.

Builds on: Photosynthesis — the word equation — “The leaf's design only makes sense once you know what it's for.” · Tissues → organs → systems — “A leaf is an organ — see it as tissues with a job.”

Limiting factors for photosynthesis

Light, carbon dioxide and warmth each cap how fast a plant makes food.

Builds on: Photosynthesis — the word equation — “You can only limit a process you can already describe.”

Plant mineral nutrition

Why plants still need nitrates and magnesium from the soil.

Builds on: Photosynthesis — the word equation · The periodic table (CHEM)

Transport in plants

Xylem carries water up; phloem carries food around.

Builds on: The leaf as an organ — “Transport tissues are part of the leaf-and-stem plan.” · Osmosis

Joints as levers

Where bones meet and turn — the body's hinges and pivots.

Builds on: The human skeleton — “A joint is where two bones meet and move.” · Antagonistic muscles

Enzymes in digestion

Biological tools that break big food molecules into small ones.

Builds on: Digestion & nutrition — “Enzymes are the tools digestion uses — meet digestion first.”

Absorption in the gut

How digested food crosses the gut wall into the blood.

Builds on: Diffusion · Enzymes in digestion — “Only broken-down food is small enough to absorb.”

The gas exchange system

Lungs built to swap oxygen for carbon dioxide.

Builds on: Tissues → organs → systems — “The lungs are an organ system — you need the organisation idea.”

Aerobic respiration

Glucose plus oxygen releases energy — the word equation.

Builds on: Photosynthesis — the word equation · Respiration & breathing — “Aerobic respiration is the equation behind 'releasing energy'.” · Chemical reactions & equations (CHEM)

The circulatory system

Heart and vessels moving blood on a double loop.

Builds on: Tissues → organs → systems — “The heart and vessels are an organ system too.”

The breathing mechanism

How ribs and the diaphragm pump air in and out.

Builds on: The gas exchange system — “Breathing is the mechanism that ventilates the gas-exchange surface.”

Testing a leaf for starch

Use iodine to show photosynthesis really made food.

Builds on: Photosynthesis — the word equation — “Testing for starch checks that photosynthesis really happened.”

Deficiency diseases

What goes wrong when a nutrient is missing — scurvy, rickets, anaemia.

Builds on: A balanced diet — “A deficiency is a diet missing one balanced part.” · Nutrients & their jobs

Effects of smoking

How tobacco smoke damages the gas-exchange surface and more.

Builds on: The gas exchange system — “Smoking damages the gas-exchange surface first.”

Effects of alcohol

How alcohol affects the brain, liver and behaviour.

Builds on: Digestion & nutrition

Unicellular organisms

Life that is a single cell — bacteria, yeast, amoeba.

Builds on: Cells & microscopy — “A unicellular organism IS one cell — start there.”

Human reproductive systems

The organs that make and deliver gametes.

Builds on: Tissues → organs → systems — “The reproductive system is an organ system.” · Puberty & adolescence

Gametes & fertilisation

Sperm meets egg — two half-sets of instructions become one.

Builds on: Specialised cells · Human reproductive systems — “Gametes are made by the reproductive organs.”

Pollination

Moving pollen from one flower to another — by wind or animal.

Builds on: Flower structure — “Pollination moves pollen between the flower parts you named.”

Plant fertilisation & seeds

How a pollinated flower becomes a seed and fruit.

Builds on: Pollination — “Fertilisation follows once pollen arrives.”

Seed dispersal

Why plants send seeds away — and the clever ways they travel.

Builds on: Plant fertilisation & seeds — “Seeds must form before they can be dispersed.”

Energy transfer & pyramids

Why there is less energy at each step up a food chain.

Builds on: Ecosystems & food webs — “Energy pyramids quantify the web's flow.”

Producers & photosynthesis

Plants capture the sun's energy that every food chain then spends.

Builds on: Photosynthesis — the word equation — “Producers are the plants doing photosynthesis.” · Food chains

Decomposers & recycling

The microbes and fungi that return nutrients to the soil.

Builds on: Ecosystems & food webs — “Decomposers close the loop the food web leaves open.”

Sampling with quadrats

Estimate a population by counting inside random squares.

Builds on: Habitats & adaptation — “Quadrats sample the organisms in a habitat.” · Averages & range (MATH)

Osmosis

Diffusion's special case: water crossing a membrane towards the crowded side.

Builds on: Diffusion — “Osmosis is diffusion's special case — water only.”

Heart rate & exercise

Measure how the heart answers a bigger demand for energy.

Builds on: Aerobic respiration · The circulatory system — “Heart rate is the circulatory system, measured.”

Energy balance & health

Taking in more or less energy than you use, and what follows.

Builds on: Aerobic respiration · A balanced diet — “Energy balance is the diet idea put on a scale.”

Root hair cells

A cell stretched into a hair so a root can drink more water by osmosis.

Builds on: Specialised cells · Osmosis — “A root hair drinks by osmosis — that's its whole trick.”

Inheritance & variation

Why offspring resemble — and differ from — parents.

Builds on: Reproduction — “Inheritance starts where reproduction ends.” · DNA, genes & chromosomes — “Inheritance is genes passed on — meet genes first.” · Variation

Anaerobic respiration

Releasing energy without oxygen — and why it can't last.

Builds on: Aerobic respiration — “Anaerobic is what happens when the aerobic route runs short of oxygen.”

Blood vessels

Arteries, veins and capillaries — each built for its job.

Builds on: The circulatory system — “Vessels only make sense as parts of the circulatory loop.”

Blood components

Red cells, white cells, platelets and plasma — a tissue that flows.

Builds on: The gas exchange system · The circulatory system — “Blood is what the circulation carries.”

Pathogens & disease

The microbes that cause illness, and how they spread.

Builds on: Unicellular organisms — “Many pathogens are the unicellular organisms you met.”

The body's defences

Skin, mucus and white blood cells holding pathogens off.

Builds on: Pathogens & disease — “Defences only make sense once you know the threat.”

Recreational drugs

How drugs change the nervous system, and the risks that follow.

Builds on: Reflexes & the nervous system — “Recreational drugs act on the nervous system.”

Exercise & fitness

How training helps the heart, muscles and lungs meet demand.

Builds on: Aerobic respiration — “Fitness is your body meeting a bigger respiration demand.” · Heart rate & exercise

The menstrual cycle

The monthly cycle that prepares the body for pregnancy.

Builds on: Human reproductive systems — “The cycle is the reproductive system on a monthly clock.”

Gestation & the placenta

How a fetus is fed and protected before birth.

Builds on: Gametes & fertilisation — “Gestation begins the moment gametes join.” · The menstrual cycle

DNA, genes & chromosomes

The instructions inside the nucleus, and how they nest together.

Builds on: Gametes & fertilisation · Animal cell structure — “Genes live in the nucleus you found in the cell.”

Variation

Why no two living things are exactly alike.

Builds on: DNA, genes & chromosomes — “Variation comes from the genes you've just met.”

Predator–prey cycles

How hunter and hunted numbers rise and fall together.

Builds on: Ecosystems & food webs — “Predator–prey cycles are a food web over time.”

Competition & interdependence

Living things compete for what a habitat can only partly supply.

Builds on: Ecosystems & food webs — “Competition is interdependence with limited resources.” · Habitats & adaptation

The carbon cycle

Carbon moving through air, plants, animals and fuels.

Builds on: Aerobic respiration · Producers & photosynthesis — “The carbon cycle runs through photosynthesis.” · Chemical reactions & equations (CHEM)

Bioaccumulation

Why toxins build up in the animals at the top of a chain.

Builds on: Energy transfer & pyramids — “Toxins concentrate up the pyramid you drew.”

Human impact on ecosystems

How pollution, land use and hunting reshape food webs.

Builds on: The carbon cycle · Ecosystems & food webs — “Human impact ripples through the food web.”

Natural selection

Better-suited individuals survive and pass on their traits.

Builds on: Variation — “Selection acts on the variation you've described.” · Inheritance & variation

Extinction

When a species dies out — the causes and the finality.

Builds on: Predator–prey cycles · Natural selection — “Extinction is selection with no survivors.”

Biodiversity

The variety of life, and why it makes ecosystems resilient.

Builds on: Ecosystems & food webs — “Biodiversity counts the variety a web contains.”

Darwin's theory

How Darwin explained the fit between living things and their world.

Builds on: Variation · Natural selection — “Darwin's theory is natural selection, named.”

Reflexes & the nervous system

Fast, automatic responses that skip conscious thought.

Builds on: Tissues → organs → systems — “The nervous system is another organ system to map.”

The nitrogen cycle

How nitrogen passes from air to soil to living things and back, via microbes.

Builds on: Decomposers & recycling — “The nitrogen cycle runs on decomposer microbes.”

Antibiotics & resistance

Medicines that kill bacteria — and why they are losing power.

Builds on: Pathogens & disease — “Antibiotics target the bacteria among the pathogens.” · Natural selection

Continuous & discontinuous variation

Some traits form a smooth range; others fall into groups.

Builds on: Variation — “Continuous vs discontinuous sorts the variation you've described.”

Conservation

Protecting habitats and species from the harm we cause.

Builds on: Human impact on ecosystems — “Conservation answers the human impact you've measured.” · Biodiversity

Vaccination

Training the body's defences before a real infection arrives.

Builds on: The body's defences — “A vaccine trains the defences you've just studied.”

Fossils & the evidence

How rock records the slow rewriting of species.

Builds on: Extinction · Darwin's theory — “Fossils are the evidence Darwin's theory predicts.”

Selective breeding

Choosing which living things breed to steer their traits.

Builds on: Variation — “Selective breeding steers variation on purpose.” · Natural selection

Natural selection — the evidence

How variation plus time rewrites species.

Builds on: Ecosystems & food webs · Natural selection — “The evidence deepens the selection idea.” · Inheritance & variation

Introduction to genetic modification

Moving a gene from one organism to another, on purpose.

Builds on: DNA, genes & chromosomes — “Editing genes needs you to know what a gene is.” · Selective breeding

Classification & the tree of life

Grouping living things by shared features and shared ancestry.

Builds on: Darwin's theory · Identification keys — “Classification formalises the keys you've used.”

Cell division & growth

How one cell copies itself so a body can grow and repair.

Builds on: DNA, genes & chromosomes · Animal cell structure — “Cell division copies the cell you dissected.”

Retrieval & inference

Find what a text says — and what it means underneath.

Writer’s methods

Spot the choices: imagery, sentence shape, sound.

Builds on: Retrieval & inference — “You can't analyse choices you haven't noticed.”

Paragraphs & topic sentences

Build paragraphs that carry one idea each.

Builds on: Planning before writing

Skimming and scanning

Skim a text quickly for its gist, or scan it for one particular detail — two different speeds for two different jobs.

Builds on: Retrieval & inference

Working out words from context

Use the sentences around an unfamiliar word to make a sensible guess at its meaning.

Builds on: Retrieval & inference — “Working out a word starts from reading around it.”

Summarising a passage

Shrink a passage to its main points in your own words, leaving the detail behind.

Builds on: Retrieval & inference — “You can't summarise what you haven't retrieved.” · Skimming and scanning

Tracking plot and sequence

Follow what happens in a story, in order, including when the telling jumps around.

Builds on: Retrieval & inference — “Following a plot is retrieval across a whole text.”

Fact vs opinion

Tell the difference between something a writer can prove and something a writer believes.

Builds on: Retrieval & inference — “Telling fact from opinion is close reading.”

Reading a whole novel

Stay with a full-length book — holding characters, plot and threads across weeks of reading.

Builds on: Tracking plot and sequence — “A novel is plot-tracking, at length.”

Choosing the best evidence

Pick the quotation that best supports a point — short, sharp and on-topic.

Builds on: Retrieval & inference — “Choosing evidence means finding it first.” · Fact vs opinion

Inferring character feelings

Work out how a character feels from what they do and say, even when the writer never names the feeling.

Builds on: Retrieval & inference — “Inferring a feeling is inference, aimed at a person.”

Simile and metaphor

Recognise the two core comparisons — ‘as brave as a lion’ and ‘a heart of stone’ — and tell them apart.

Builds on: Writer’s methods — “Imagery is the first method to name.”

Personification

Spot writing that gives human behaviour to non-human things — ‘the wind howled’ — and say what it adds.

Builds on: Simile and metaphor — “Personification is metaphor with a living mask.”

Alliteration and onomatopoeia

Notice the sound effects — repeated first letters, words that sound like their meaning — and what they do to the ear.

Builds on: Writer’s methods — “Sound is another method a writer chooses.”

Embedding quotations

Weave a short quotation into your own sentence so it reads smoothly — no ‘this quote shows’ bolted on.

Builds on: Choosing the best evidence — “You embed the evidence you chose.”

Rhyme and rhythm basics

Hear a poem’s pattern — which lines rhyme, where the beat falls — and describe it simply.

Builds on: Alliteration and onomatopoeia

How writers build character

See the techniques behind a character — what they do, say, wear, and what others say about them.

Builds on: Tracking plot and sequence · Inferring character feelings — “Analysing character starts from inferring feeling.”

Setting and atmosphere

See how writers use place, weather and detail to make a scene feel safe, tense or strange.

Builds on: Writer’s methods — “Atmosphere is built by methods you can name.”

Planning before writing

Spend two minutes deciding what you will say and in what order, before the first sentence.

Writing a story opening

Start a story so a reader wants the next paragraph — with action, a voice, or a question in the air.

Builds on: Planning before writing — “A good opening starts from a plan.”

Describing with the five senses

Build description from what can be seen, heard, smelt, touched and tasted — not just adjectives.

Builds on: Writing a story opening

Writing formal and personal letters

Write a letter that fits its reader — warm to a friend, properly formal to a stranger — with the right layout for each.

Builds on: Paragraphs & topic sentences — “A letter is paragraphs with a purpose.”

Show, don’t tell

Let actions and details reveal a feeling instead of naming it — ‘her hands shook’ rather than ‘she was scared’.

Builds on: Describing with the five senses — “Showing leans on sensory detail.”

Writing dialogue that works

Write conversations that sound like people and move the story on — every line earning its place.

Builds on: Punctuating speech — “Dialogue needs speech punctuation to work.”

Proof-reading your own work

Read your own writing back slowly, hunting the slips your brain autocorrects — a habit, not an afterthought.

Builds on: Paragraphs & topic sentences

Naming the word classes

Know nouns, verbs, adjectives, adverbs, pronouns, prepositions and conjunctions by name — the labels the rest of grammar uses.

Simple, compound, complex sentences

Recognise the three sentence structures and what joins them — a single clause, an ‘and/but/or’, or a subordinate clause.

Builds on: Naming the word classes — “You build sentences from the word classes.”

Apostrophes: possession and contraction

Use apostrophes for ownership — Amara’s book — and for missing letters — don’t — and nowhere else.

Builds on: Naming the word classes

Punctuating speech

Set out spoken words with the right marks — inverted commas, the comma before the closing quote, a new line per speaker.

Builds on: Simple, compound, complex sentences — “Speech punctuation needs the sentence first.”

Giving a short talk

Speak to the class for a minute or two on a prepared subject — audible, ordered, and looking up.

Listening and building on ideas

Listen well enough to answer what was actually said — then add to it, question it, or take it somewhere new.

Builds on: Giving a short talk

Reading aloud with expression

Read a text aloud so it sounds meant — using pace, volume and tone to carry the meaning.

Builds on: Giving a short talk

Analytical paragraphs

Point, evidence, zoom-in — the analytical unit.

Builds on: Writer’s methods — “Analysis needs methods to point at.” · Paragraphs & topic sentences — “The paragraph is the container the argument ships in.” · Embedding quotations — “An analytical paragraph runs on embedded quotation.”

Inferring the writer’s viewpoint

Work out what the writer thinks about their subject from tone and choices, not just from what is stated.

Builds on: Inferring character feelings — “Reading a viewpoint extends inferring a feeling.”

Linking details across a text

Connect details from different parts of a text to build one bigger point.

Builds on: Tracking plot and sequence — “Linking details needs you to hold the sequence.”

Identifying purpose and audience

Work out what a text is for — to inform, persuade, entertain — and who it was written for.

Builds on: Fact vs opinion — “Purpose is the writer's intent behind the facts.”

Spotting bias in non-fiction

Notice when a text leans to one side — through what it includes, what it leaves out, and how it words things.

Builds on: Fact vs opinion · Inferring the writer’s viewpoint · Identifying purpose and audience — “Bias is purpose bending the facts.” · Sources & provenance (HIST)

Understanding narrative perspective

See who is telling a story — first or third person, all-knowing or limited — and what that lets the reader see.

Builds on: Inferring character feelings — “Perspective is whose feelings we're given.”

Following an argument

Trace the steps of a writer’s argument from claim to conclusion — what is being argued, and what supports it.

Builds on: Linking details across a text — “An argument is details linked into a line.”

Reading pre-1914 language

Get comfortable with the older vocabulary and longer sentences of nineteenth-century and earlier texts.

Builds on: Working out words from context — “Old language is decoded from context, patiently.”

Presentational features in non-fiction

Read the layout as well as the words — headings, captions, bullet points, images — and what each is doing.

Builds on: Identifying purpose and audience

Word connotations

Go beyond a word’s dictionary meaning to its flavour — why ‘slender’, ‘thin’ and ‘scrawny’ paint different pictures.

Builds on: Simile and metaphor — “Connotation is the meaning imagery carries.”

Sentence length for effect

Notice when a writer uses a short sentence to jolt, or a long one to build — and explain the choice.

Builds on: Writer’s methods

Analysing openings and endings

Study how texts begin and end — what a first line promises, what a last line leaves behind.

Builds on: Setting and atmosphere

Decoding Shakespeare’s language

Turn Shakespeare’s word order, ‘thee’ and ‘thou’, and unfamiliar words into sense — line by line.

Builds on: Reading pre-1914 language — “Shakespeare is pre-1914 language, on stage.”

Stagecraft and stage directions

Read a play as a performance — stage directions, entrances, props and silence are all choices that mean something.

Builds on: Decoding Shakespeare’s language — “Stagecraft reads the play the language sits in.”

Dramatic irony

Understand the charge a scene gets when the audience knows something the characters don’t.

Builds on: Writer’s methods · How writers build character — “Dramatic irony works on characters we know.”

Shaping a story arc

Give a story a shape — build-up, turning point, consequence — so the ending feels earned.

Builds on: Writing a story opening — “An arc extends the opening into a whole.”

Writing to inform and explain

Present information clearly and in a sensible order, so a reader who knew nothing ends up understanding.

Builds on: Paragraphs & topic sentences — “Explaining is paragraphs doing a job.”

Introductions and conclusions

Open a piece so the reader knows where they are going, and close it so they know they have arrived.

Builds on: Writing to inform and explain — “Every informative piece needs a frame.”

Linking paragraphs smoothly

Connect paragraphs so the whole piece flows — each one picking up from the last.

Builds on: Paragraphs & topic sentences — “Links join the paragraphs you can already build.”

Writing in role

Write as someone else — a character, a witness, a historical figure — keeping their voice and their limits.

Builds on: Understanding narrative perspective — “Writing in role needs a grasp of perspective.”

Redrafting for impact

Go back into a draft to make it better, not just correct — cutting, reordering and strengthening word choices.

Builds on: Proof-reading your own work — “Redrafting is proof-reading with ambition.”

Writing your own poem

Write a poem with deliberate choices — line breaks, sound and image working on purpose.

Builds on: Simile and metaphor · Rhyme and rhythm basics — “Writing a poem uses rhyme and rhythm.”

Commas that change meaning

See how a comma can change what a sentence says — ‘Let’s eat, Grandma’ — and place them where the grammar needs them.

Builds on: Simple, compound, complex sentences — “Commas reshape the sentences you can build.”

Roots, prefixes and suffixes

Break words into their building blocks — un-help-ful — to unlock spelling and meaning at the same time.

Builds on: Working out words from context

Fixing comma splices

Spot two complete sentences glued with just a comma — and repair the join with a full stop, a conjunction or a semicolon.

Builds on: Commas that change meaning — “You fix a splice by knowing what a comma does.”

Colons and semicolons

Use the colon to introduce and the semicolon to balance — two marks that make writing look and think sharper.

Builds on: Fixing comma splices — “Semicolons pick up where comma splices fail.”

Subject–verb agreement

Match the verb to its subject — ‘she was’, ‘they were’ — even when other words crowd in between.

Builds on: Naming the word classes — “Agreement links the subject and verb you can name.”

Keeping tenses consistent

Stay in the tense you started in — or change it only on purpose, and signal the change.

Builds on: Naming the word classes — “Tense lives in the verb you've learned to spot.”

Standard English and dialect

Understand that Standard English is one variety among many — the one expected in formal writing — and that dialect is difference, not error.

Builds on: Subject–verb agreement

Playing your part in discussion

Take a role in structured discussion — chairing, summarising, challenging — and help the group think better than one person could.

Builds on: Listening and building on ideas — “Discussion is listening and building, in a group.”

Performing a scripted scene

Rehearse and perform a scene from a script — using voice, movement and stillness to bring the words to life.

Builds on: Stagecraft and stage directions · Reading aloud with expression — “Performing extends reading aloud with expression.”

Giving a presentation

Plan and deliver a longer presentation — structured content, a clear through-line, and any visuals earning their place.

Builds on: Writing to inform and explain · Giving a short talk — “A presentation is a short talk, grown up.”

Comparing two texts

Hold two writers side by side without losing either.

Builds on: Analytical paragraphs — “Compare with paragraphs you already trust.”

Rhetoric & persuasion

Writing that moves people — ethically.

Builds on: Writer’s methods · Building a written argument — “Persuasion is argument with feeling.”

Evaluating a writer’s success

Judge how well a piece of writing achieves what it set out to do — with evidence, not just taste.

Builds on: Inferring the writer’s viewpoint · Identifying purpose and audience — “You judge success against purpose and audience.”

Synthesising two non-fiction texts

Pull information from two texts on the same subject into one combined, accurate account.

Builds on: Linking details across a text · Following an argument — “Synthesis links arguments across two texts.” · Summarising a passage

Recognising unreliable narrators

Notice when the person telling the story can’t be fully trusted — and read around them.

Builds on: Understanding narrative perspective — “An unreliable narrator is a perspective you can't trust.” · Detecting irony and sarcasm

Detecting irony and sarcasm

Hear when a writer means the opposite of what the words say — and what the gap is for.

Builds on: Inferring the writer’s viewpoint — “Irony is a viewpoint saying the opposite of its words.”

Reading with historical context

Use what you know about a text’s time and place to understand what it meant to its first readers.

Builds on: Reading pre-1914 language · Chronology & period sense (HIST)

Poetic form and its effect

Recognise sonnets, ballads and free verse — and treat the choice of form as part of the poem’s meaning.

Builds on: Rhyme and rhythm basics — “Form builds on rhyme and rhythm.”

Building tension and pacing

Trace how writers speed up and slow down a story — withholding, delaying, cutting away — to keep readers gripped.

Builds on: Sentence length for effect — “Pacing is sentence length across a scene.” · Analysing openings and endings

Symbolism and motifs

Spot an object or image that carries a bigger meaning — and notice when it keeps coming back.

Builds on: Setting and atmosphere · Word connotations — “A symbol is connotation, made to recur.”

Weighing alternative interpretations

Hold two defensible readings of the same moment and weigh which one the text supports better.

Builds on: Comparing two texts — “Weighing readings needs comparison skill.”

Analysing a Shakespeare scene

Put language and stagecraft together to analyse one scene — what is said, how it plays, and why it matters.

Builds on: Decoding Shakespeare’s language · Stagecraft and stage directions — “Analysing a scene uses the stagecraft you've met.” · Analytical paragraphs

Building a written argument

Construct an argument in writing — a clear position, reasons in order, evidence attached to each.

Builds on: Fact vs opinion · Following an argument · Writing to inform and explain — “Argument is explaining, then taking a side.”

Answering the counterargument

Raise the strongest version of the other side’s case — then show why yours still stands.

Builds on: Building a written argument — “You answer an argument you can first build.”

Writing a thesis statement

Compress your essay’s whole argument into one steering sentence at the top.

Builds on: Building a written argument — “A thesis is the argument in one sentence.”

Matching tone to audience

Adjust how you write — warmth, formality, vocabulary — to suit exactly who will read it.

Builds on: Identifying purpose and audience — “Matching tone needs a grip on audience.”

Scripting a speech

Write words designed to be heard — shorter sentences, repetition that lands, pauses built in.

Builds on: Rhetoric & persuasion — “A speech is rhetoric, out loud on the page.”

Flashback and foreshadowing

Bend a story’s timeline on purpose — dropping hints forward, cutting back — without losing the reader.

Builds on: Shaping a story arc — “Time-shifts restructure the arc you can build.”

Formal and informal register

Recognise the sliding scale from chatty to ceremonial — and what moves a piece of writing along it.

Builds on: Matching tone to audience · Standard English and dialect — “Register formalises the Standard-English idea.”

Active and passive voice

Tell ‘the dog bit the man’ from ‘the man was bitten’ — and know what the passive hides and when that is useful.

Builds on: Subject–verb agreement — “Voice rearranges subject and verb.”

Turning verbs into nouns

Turn ‘we decided’ into ‘the decision’ — the packing-down move that makes writing sound formal and dense.

Builds on: Active and passive voice

Using terminology precisely

Use terms like ‘metaphor’, ‘clause’ and ‘imperative’ to mean exactly what they mean — labels that sharpen analysis instead of decorating it.

Builds on: Writer’s methods — “Terminology names the methods you analyse.”

Varying sentence openings

Start sentences differently on purpose — an adverb, a subordinate clause, a prepositional phrase — so writing doesn’t drone.

Builds on: Simple, compound, complex sentences — “You vary openings by knowing sentence types.”

Debating: making your case

Argue a motion within debate rules — timed speeches, points in order, evidence ready.

Builds on: Building a written argument · Playing your part in discussion — “Debate is discussion with sides.”

Rebutting on your feet

Answer the other side’s actual argument, live and unscripted — the thinking-while-standing skill.

Builds on: Answering the counterargument · Debating: making your case — “You rebut once you can make the case.”

Speaking in Standard English

Switch into fluent Standard English for formal moments — interviews, presentations, debate — and back out again.

Builds on: Formal and informal register — “Speaking Standard English applies register aloud.”

Unseen poetry

A portable method for a poem you’ve never met.

Builds on: Analytical paragraphs — “Unseen means your method must be portable.” · Poetic form and its effect — “Unseen poetry leans on knowing poetic form.”

Unseen extracts at exam pace

Apply your whole reading toolkit to an unfamiliar extract in the tight timing of a GCSE paper.

Builds on: Evaluating a writer’s success — “Exam pace is evaluation, on a clock.”

Evaluating a critical statement

Respond to a statement about a text — ‘the writer makes the ending feel inevitable’ — by agreeing, disagreeing, or both, with evidence.

Builds on: Evaluating a writer’s success — “You weigh a critic's claim the way you weigh a writer's success.” · Weighing alternative interpretations

Comparing poems

Compare two poems’ ideas, methods and forms in one steady argument — the GCSE anthology skill.

Builds on: Comparing two texts · Unseen poetry — “Compare poems once you can read one unseen.”

Tracing a theme across a text

Follow one theme through a whole novel or play, showing how it grows from first scene to last.

Builds on: Symbolism and motifs — “A theme is a motif traced whole.”

Timed writing, calm method

Produce your best writing inside exam minutes — a settled routine of plan, write, check.

Builds on: Redrafting for impact — “Calm timed writing is redrafting, internalised.”

Viewpoint writing, exam style

The GCSE set-piece: argue your view in a set form — article, letter or speech — with flair and control.

Builds on: Rhetoric & persuasion · Matching tone to audience — “Viewpoint writing matches tone under exam pressure.”

Grammar as a writer’s tool

Treat grammar as a set of levers — a minor sentence for shock, a passive for distance — chosen the way a writer chooses images.

Builds on: Active and passive voice — “Using grammar as a tool builds on knowing voice.” · Varying sentence openings

Ambitious vocabulary, precisely used

Reach for rarer words only when they say something the plain word can’t — precision first, sparkle second.

Builds on: Word connotations · Roots, prefixes and suffixes — “Ambitious words are built from roots and affixes.”

The GCSE presentation

The assessed spoken-language endorsement: one polished presentation, questions answered, delivered to standard.

Builds on: Giving a presentation — “The assessed talk is a presentation, to standard.” · Speaking in Standard English — “The endorsement demands Standard English delivery.”

Chronology & period sense

Place events and periods in sequence with confidence.

Sources & provenance

Who made this, when, and why — before trusting it.

1066 & medieval power

Conquest, castles and the church’s long reach.

Builds on: Chronology & period sense

The succession crisis of 1066

When King Edward died without a child in January 1066, three rivals — Harold Godwinson, William of Normandy and Harald Hardrada — each claimed the English throne.

Builds on: 1066 & medieval power

Why William won at Hastings

William of Normandy defeated King Harold at Hastings in October 1066. Students weigh luck, leadership and preparation to explain the result.

Builds on: The succession crisis of 1066 — “You can’t explain the battle without the quarrel over the crown.”

Castles and Norman control

A few thousand Normans held two million English people partly by building castles. From quick motte-and-bailey mounds to stone keeps, castles made power visible.

Builds on: Why William won at Hastings — “Castles are what winning looked like the morning after — no conquest, no castles to explain.”

The Domesday Book

In 1086 William ordered a survey of who owned what across England — land, animals, mills. The record was so complete people nicknamed it the Domesday Book.

Builds on: Sources & provenance · Why William won at Hastings — “William counted a kingdom because he’d just taken one.” · Castles and Norman control

The feudal system

Medieval England ran on exchanged promises: the king granted land to barons, barons to knights, and peasants worked the land in return for protection.

Builds on: Why William won at Hastings — “The feudal system is how William paid for his conquest — in land.” · Castles and Norman control

Becket and church versus crown

In 1170 Archbishop Thomas Becket was murdered in Canterbury Cathedral after quarrelling with King Henry II. The story shows how church and king competed for power.

Builds on: Sources & provenance · 1066 & medieval power — “The quarrel only makes sense once you’ve seen how far the church’s reach ran.”

King John and Magna Carta

In 1215 rebellious barons forced King John to accept Magna Carta, a charter saying even the king must follow the law.

Builds on: The feudal system — “Magna Carta is the feudal bargain written down — you need the bargain first.” · Becket and church versus crown

Simon de Montfort’s Parliament

In 1265 Simon de Montfort summoned townspeople as well as barons and knights to advise on ruling England — an early step towards Parliament.

Builds on: King John and Magna Carta — “De Montfort’s parliament grows straight out of Magna Carta’s big idea — the king must listen.”

The Black Death

In 1348 plague reached England and killed perhaps half its people. Students study how it spread, what people believed caused it, and how life changed afterwards.

Builds on: The feudal system — “You can’t see what the plague broke until you know how the manor bound people to land.”

The Peasants’ Revolt of 1381

After the plague, laws held wages down while a new poll tax hit everyone. In 1381 thousands marched on London demanding change.

Builds on: King John and Magna Carta · The Black Death — “No plague, no labour shortage, no poll-tax fury — the revolt starts in 1348.”

The Wars of the Roses

From 1455 the rival houses of Lancaster and York fought for the crown, ending when Henry Tudor won at Bosworth in 1485.

Builds on: Chronology & period sense · The succession crisis of 1066

Henry VIII breaks with Rome

Denied a divorce by the Pope, Henry VIII made himself head of the Church in England in the 1530s — a decision that reshaped religion and royal power.

Builds on: 1066 & medieval power — “You can’t measure the break until you’ve seen what Rome’s reach was.”

Dissolution of the monasteries

Between 1536 and 1540 Henry VIII closed England’s monasteries and took their land and wealth. Whole communities lost schools, care and employers.

Builds on: Henry VIII breaks with Rome — “No royal supremacy, no power to close the monasteries.”

Primary and secondary sources

A primary source comes from the time itself; a secondary source looks back later. Knowing which is which changes the questions you ask of it.

Builds on: Sources & provenance — “Primary or secondary is decided by who made it and when — that’s provenance doing the sorting.”

Making inferences from sources

Reading what a source suggests beyond what it says outright — and knowing exactly which detail your claim rests on.

Builds on: Sources & provenance — “An inference starts from what the source is — who, when, why — or it’s just guessing.”

Your local area as evidence

Street names, buildings, churches and memorials hold history you can walk past. Students use their own area as a source.

Builds on: Chronology & period sense · Making inferences from sources — “A street name only becomes evidence when you can infer from it.”

Significant or just famous?

Historians pick what matters by criteria — how deep the change, how many affected, how long it lasted — not by fame alone.

Change and continuity

History isn’t one thing after another: some things transform while others quietly stay the same. Students learn to spot both at once.

Builds on: Chronology & period sense — “You can’t see change over time until events sit in order.” · 1066 & medieval power

Avoiding anachronism

Judging the past by today’s standards — or slipping modern ideas into old settings — distorts it. Students practise thinking inside the period.

Builds on: Chronology & period sense — “Spotting what’s out of period starts with knowing what the period is.”

Reformation & the Tudors

Faith, power and the break with Rome.

Builds on: Henry VIII breaks with Rome — “The Tudor story pivots on Henry’s break — start there.” · Dissolution of the monasteries · 1066 & medieval power — “The Reformation is a reply to medieval church power.”

The Industrial Revolution

Machines, cities and lives remade.

Builds on: Chronology & period sense

Edward, Mary and religious change

Henry’s children pulled England’s religion back and forth: Edward VI pushed Protestant reform, then Mary I restored Catholicism and burned those who refused.

Builds on: Henry VIII breaks with Rome — “The see-saw under Edward and Mary only makes sense after their father’s break.” · Dissolution of the monasteries

Elizabeth’s Religious Settlement

In 1559 Elizabeth I built a compromise church — Protestant in doctrine, familiar in feel — hoping to end decades of religious whiplash.

Builds on: Edward, Mary and religious change — “The settlement answers the see-saw — you need the problem before the fix.” · Reformation & the Tudors

The Spanish Armada

In 1588 Catholic Spain sent a great fleet to invade Protestant England. Storms, fireships and English guns broke it apart.

Builds on: Edward, Mary and religious change · Elizabeth’s Religious Settlement — “The Armada is Catholic Europe’s answer to Elizabeth’s Protestant England.”

The Gunpowder Plot

In 1605 Catholic plotters tried to blow up King James I and Parliament. Its discovery hardened anti-Catholic feeling for generations — and gave Britain Bonfire Night.

Builds on: Sources & provenance · Elizabeth’s Religious Settlement — “The plot grows from the settlement’s leftovers — Catholics who’d run out of hope.” · The Spanish Armada

Causes of the Civil War

By 1642 King Charles I and Parliament no longer trusted each other over money, religion and who really ruled. England slid into war with itself.

Builds on: Simon de Montfort’s Parliament · Elizabeth’s Religious Settlement — “The war’s religious fuse was lit by the settlement’s unfinished business.” · The Gunpowder Plot

The execution of Charles I

In January 1649, after losing the war, King Charles I was tried and beheaded by his own subjects — an almost unthinkable act in Europe at the time.

Builds on: Causes of the Civil War — “You can’t try a king for the war without the war.”

Cromwell and the Interregnum

For eleven years England had no king. Oliver Cromwell ruled as Lord Protector — a period remembered very differently in England and in Ireland.

Builds on: The execution of Charles I — “No republic to run until the king’s head is off.”

The Glorious Revolution

In 1688 Parliament invited William of Orange to replace the Catholic James II. The new Bill of Rights fixed that monarchs rule with Parliament, not over it.

Builds on: Cromwell and the Interregnum — “1688 is the quieter answer to the question 1649 asked loudly.”

The Act of Union 1707

In 1707 England and Scotland joined their parliaments to form Great Britain — one crown, one parliament, one market.

Builds on: The Glorious Revolution — “The Union locked in the Protestant succession 1688 had fought for.”

Why Britain industrialised first

Coal, colonies, canals, capital and inventors — students weigh why the world’s first industrial revolution happened in Britain around 1750.

Builds on: The Act of Union 1707 · The Industrial Revolution — “You need the revolution in view before asking why it started here.”

Steam power and factories

Steam engines freed factories from riversides and made machines tireless. Work moved from cottages to factory floors run by the clock.

Builds on: Why Britain industrialised first · The Industrial Revolution — “The overview says what changed; steam and the factory say how.” · Energy stores & transfers (PHYS)

Life in industrial cities

Cities like Manchester doubled in a generation. Students study crowded housing, dirty water and disease — and how reformers fought back.

Builds on: Steam power and factories — “The city is the factory’s shadow — no factories, no explosion of streets around them.”

Children at work

Children worked long hours in mills and mines because they were cheap and small. Factory Acts slowly limited hours and required schooling.

Builds on: Steam power and factories — “Children’s hours were set by the machine’s appetite — you need the factory first.” · Life in industrial cities

Railways transform Britain

From the 1830s railways shrank distances, standardised time and moved people, post and fresh food. Britain got measurably smaller and faster.

Builds on: Steam power and factories — “A railway is a factory engine set loose on wheels.”

The transatlantic slave trade

British ships carried millions of enslaved Africans to the Americas in a triangle of trade that enriched ports like Liverpool and Bristol.

Builds on: The Industrial Revolution

Abolishing the slave trade

Enslaved people’s resistance, Black British voices like Olaudah Equiano, and campaigners like Wilberforce ended the British trade in 1807 and slavery itself in 1833.

Builds on: The transatlantic slave trade — “You can’t study abolition without the trade it abolished.”

Cross-referencing sources

Checking one source against another: where accounts agree, confidence grows; where they clash, the interesting questions start.

Builds on: Primary and secondary sources · Making inferences from sources — “Cross-referencing is checking your inferences against a second witness.”

Reliable or useful?

A biased source can still be useful — it shows what its maker wanted people to think. Students learn to separate trustworthiness from usefulness.

Builds on: Sources & provenance — “Usefulness is judged from purpose — and purpose lives in provenance.” · Cross-referencing sources

Short and long-term consequences

Events ripple: some effects land immediately, others surface decades later. Students learn to trace both and tell them apart.

Builds on: The Black Death · The Peasants’ Revolt of 1381 · Change and continuity — “A consequence is change with a cause attached — see the change first.”

Writing a supported judgement

Making a claim, backing it with selected evidence, and explaining why the evidence proves the point — the sentence-level craft under every good essay.

Builds on: Making inferences from sources — “A judgement is an inference you’re prepared to defend.” · Reliable or useful?

Causation essays

Arguing why — with evidence that earns its place.

Builds on: Sources & provenance — “You can’t argue why without weighing who says so.” · Reformation & the Tudors · Writing a supported judgement — “Essays chain supported judgements — write one paragraph well before you write five.”

Britain’s empire in India

A trading company became a ruler: students trace how the East India Company, then the Crown, came to govern India — and at what cost to Indians.

Builds on: The Act of Union 1707 · The transatlantic slave trade · The Industrial Revolution

Peterloo and the Chartists

In 1819 cavalry charged a peaceful crowd demanding the vote at Peterloo. The Chartists carried the same demand through the 1840s with petitions millions signed.

Builds on: Life in industrial cities — “Crowds big enough to demand the vote first had to gather somewhere — the industrial city made them.” · Children at work

Widening the vote

Reform Acts in 1832, 1867 and 1884 slowly extended the vote to more men. Each step was fought for, and each left millions still voteless.

Builds on: Simon de Montfort’s Parliament · Peterloo and the Chartists — “The Reform Acts are Parliament’s reply to Peterloo and the Chartists.”

Causes of the First World War

Rival empires, entangled alliances, arms races and a murder in Sarajevo: students untangle how one shot in 1914 pulled Europe into war.

Builds on: Chronology & period sense · Britain’s empire in India

Trench warfare on the Western Front

For four years the armies faced each other from ditches across France and Belgium. Students study daily life, new weapons and why the line barely moved.

Builds on: Causes of the First World War — “The trenches are where the plans of 1914 ground to a halt — you need the plans first.” · Numbers as evidence

The Treaty of Versailles

The 1919 peace treaty made Germany accept blame, pay reparations and shrink its army. Students judge whether it was justice, revenge or a mistake.

Builds on: Causes of the First World War · Trench warfare on the Western Front — “The treaty’s harshness was priced in the war’s cost — you need the trenches to read the terms.”

Votes for women

Suffragists persuaded and suffragettes protested until women won the vote in 1918 — over thirty only — and equally with men in 1928.

Builds on: Peterloo and the Chartists · Widening the vote — “‘Votes for women’ continues a story about votes — you need to know who had one and who didn’t.” · Propaganda as evidence

Hitler’s rise to power

Defeat, Versailles, depression and clever politics: students trace how a fringe agitator became Germany’s dictator by 1934, legally at almost every step.

Builds on: The Treaty of Versailles — “Versailles is the grievance Hitler’s speeches never stopped feeding on.”

The Second World War’s turning points

From Dunkirk and the Battle of Britain to Stalingrad and D-Day, students map where the war’s direction changed and why.

Builds on: Hitler’s rise to power — “No dictator, no war of his making — the rise comes first.”

The Home Front and the Blitz

Bombing brought the war to British cities: blackouts, shelters, rationing and evacuated children. Students test the ‘Blitz spirit’ story against the evidence.

Builds on: Trench warfare on the Western Front · The Second World War’s turning points — “The Blitz is one front of the war — you need the war around it.”

The Holocaust

The Nazi murder of six million Jewish people, alongside Roma, disabled people and others. Students study how persecution escalated to genocide, and remember the people behind the numbers.

Builds on: Hitler’s rise to power — “The Holocaust cannot be understood apart from Nazi ideology and power.” · Propaganda as evidence

The welfare state and the NHS

After 1945 Britain built a promise: care ‘from cradle to grave’. The Beveridge Report led to the NHS and a safety net for all.

Builds on: Life in industrial cities · The Home Front and the Blitz — “The welfare state was promised mid-war to people sharing shelters — the war made the promise possible.”

The Cold War divides Europe

The wartime allies fell out, and an ‘iron curtain’ split Europe between the Soviet east and the American-led west — a rivalry fought everywhere except head-on.

Builds on: The Second World War’s turning points — “The Cold War starts where the shooting war stops — at the meeting of the armies.”

Windrush and post-war migration

From 1948, people from the Caribbean and the wider Commonwealth answered Britain’s call for workers. Students study why they came, what they built and the welcome they didn’t always get.

Builds on: Britain’s empire in India — “Windrush passengers were citizens of empire — no empire story, no arrival story.” · The welfare state and the NHS

The end of empire

Within a generation of 1945, most of Britain’s empire became independent nations, starting with India in 1947. Students weigh why it ended and what it left behind.

Builds on: Britain’s empire in India — “You can’t study the end of empire without the empire.” · The Second World War’s turning points

Propaganda as evidence

Posters, broadcasts and staged photos are designed to persuade. Read carefully, they’re excellent evidence of what a regime feared and wanted.

Builds on: Reliable or useful? — “Propaganda is the extreme case of ‘biased but useful’ — master the rule before the exception.”

Numbers as evidence

Casualty lists, census returns and price tables are sources too. Students learn to ask numbers the same sharp questions they ask of words.

Builds on: Sources & provenance — “Numbers have makers and motives too.” · Reliable or useful? · Tally charts & frequency tables (MATH)

Comparing two interpretations

Two historians, one event, different verdicts. Students identify exactly where accounts differ and suggest why — evidence, purpose or perspective.

Builds on: Reliable or useful? — “Historians differ for reasons — purpose, audience, evidence — the same lenses you turned on sources.” · Propaganda as evidence

Interpretations in depth

Why historians disagree, and how to weigh them.

Builds on: Causation essays — “Weighing historians comes after weighing sources.” · Comparing two interpretations — “Weighing historians in depth starts from noticing where two accounts split.”

Medieval medicine and belief

A first look at a GCSE favourite: how medieval people explained illness through God, bad air and the four humours — and what treatments followed.

Builds on: Becket and church versus crown · The Black Death — “The Black Death is the exam’s favourite stress-test of medieval medicine.”

Elizabethan England in depth

A preview of a GCSE depth study: Elizabeth’s court, plots against her, poverty laws and voyages — one reign examined from every side.

Builds on: Elizabeth’s Religious Settlement — “The depth study orbits the settlement — plots, priests and poverty all circle it.” · The Spanish Armada

Crime and punishment over time

A preview of a GCSE thematic study: how crimes, trials and punishments changed from medieval ordeals to Victorian police and prisons.

Builds on: King John and Magna Carta · Life in industrial cities — “The bobby on the beat was invented for streets like these.”

Weimar and Nazi Germany

A preview of the most popular GCSE depth study: Germany’s democratic experiment, its collapse, and life under the Nazis, 1918–39.

Builds on: The Treaty of Versailles · Hitler’s rise to power — “The depth study is the rise to power in slow motion.” · Propaganda as evidence

Source utility, GCSE-style

A preview of the GCSE source question: judging how useful a source is for a specific enquiry, using its content, provenance and your own knowledge together.

Builds on: Reliable or useful? — “The GCSE question is reliable-or-useful, played at match speed.” · Propaganda as evidence

Sustained argument, GCSE-style

A preview of the GCSE essay: holding one line of argument across a whole answer, weighing the counter-case, and landing a justified conclusion.

Builds on: Causation essays — “A sixteen-mark answer is a causation essay with stamina.” · Writing a supported judgement · Comparing two interpretations

OS maps & grid references

Read four- and six-figure grid references fluently.

Rivers & the water cycle

Follow water from source to sea.

Continents and oceans

The seven continents and five oceans, named and placed — the basic frame every other geography lesson hangs on.

Latitude and longitude

The global grid of latitude and longitude gives every place on Earth an exact address.

Builds on: Continents and oceans — “A global address grid needs known places to point at.”

Map scale and distance

Use a map's scale to turn centimetres on paper into real kilometres on the ground.

Builds on: OS maps & grid references — “A distance on paper means nothing until the map itself makes sense.” · Ratio notation (MATH)

Contour lines and relief

Contour lines show height and slope: close together means steep, far apart means gentle.

Builds on: OS maps & grid references — “Contours are the map's own language for height — learn the map first.”

The UK: nations and cities

The four nations of the UK, their capitals and big cities, and the upland north-and-west versus lowland south-and-east pattern.

Earth's structure and plates

Earth is built in layers — thin crust, hot mantle, iron core — and the crust is cracked into slowly drifting plates.

The drainage basin

The land a river drains, with its own vocabulary: source, tributary, confluence, watershed, mouth.

Builds on: Rivers & the water cycle — “The basin is where the water cycle touches the ground.”

Erosion, transport, deposition

A river does three jobs: it wears land away, carries the pieces, and drops them somewhere new.

Builds on: Rivers & the water cycle — “The river's three jobs begin with knowing where its water comes from.” · Rocks, weathering and soils

Measuring the weather

How temperature, rainfall, wind and pressure are measured, and with what — thermometer, rain gauge, anemometer, barometer.

Three kinds of rain

Rain needs rising air, and air rises three ways: heated from below, forced over hills, or lifted at a weather front.

Builds on: Rivers & the water cycle — “All three rains are the water cycle meeting a different obstacle.” · Measuring the weather — “You can't explain rainfall you haven't learned to observe and name.”

Air masses over Britain

Britain sits where great bodies of air meet — polar or tropical, from sea or land — and each arrival changes the weather.

Builds on: Measuring the weather — “Air masses explain the patterns you've already learned to record.” · Latitude and longitude

Where people live and why

Most of humanity crowds a small share of the land. Climate, relief, soil and water write the pattern.

Builds on: Contour lines and relief · Continents and oceans — “You can't discuss where humanity clusters without the world map.”

Settlement sites and growth

Why towns began where they did: water to drink, a river to cross, dry ground and safety.

Builds on: OS maps & grid references · The drainage basin · Where people live and why — “Individual settlements follow the same logic as the global pattern.”

Ecosystems: living connections

An ecosystem is a web of living things and their habitat, where energy passes along chains and everything leans on something.

Rocks, weathering and soils

Ice, acid rainwater and roots slowly break rock apart, and the crumbs become the soil everything grows in.

What counts as a resource

Anything useful taken from the Earth is a resource — some regrow, some are gone when they're gone.

Asking a geographical question

Every enquiry starts with a sharp question — one that names a place, a thing to measure and a possible answer.

Measuring and recording outdoors

Using simple instruments and careful habits so that data collected outdoors can be trusted indoors.

Builds on: Asking a geographical question — “Measurement without a question is just collecting numbers.”

Aerial and satellite images

Reading the landscape from above: land use, patterns and change that street level hides.

Builds on: OS maps & grid references — “Photos come alive when matched against the map of the same ground.” · Contour lines and relief

Field sketches with purpose

A quick labelled drawing of a landscape that keeps only what matters — an argument in pencil.

Builds on: Asking a geographical question — “A sketch is an answer to a question — no question, no focus.” · Measuring and recording outdoors

Weather vs climate

One is a mood, the other a personality.

Builds on: Rivers & the water cycle · Measuring the weather — “Climate is weather data kept patiently for thirty years.”

Population & urbanisation

Why cities grow, and what that changes.

Builds on: Where people live and why — “Urban growth is the where-people-live map speeding up.” · Settlement sites and growth

Coasts & erosion

The sea as a patient sculptor.

Builds on: Rivers & the water cycle — “Coastal processes continue the river story.” · Erosion, transport, deposition

Plate boundaries and hazards

Where plates pull apart, push together or slide past each other, earthquakes and volcanoes follow.

Builds on: Earth's structure and plates — “You can't explain what happens at plate edges before knowing the plates exist.”

Africa: a continent of regions

Africa is 54 countries across deserts, rainforests, savannahs and highlands — a continent of contrasts, not one story.

Builds on: Continents and oceans — “Zooming into one continent presumes the world map is already familiar.” · Latitude and longitude

An African region up close

A close study of one African region: its landscape, climate, and how its physical and human geography fit together.

Builds on: Africa: a continent of regions — “One region only makes sense against the whole continent's variety.”

Waterfalls and gorges

Where hard rock sits over soft, a river undercuts it and a waterfall forms, slowly cutting a gorge upstream.

Builds on: Erosion, transport, deposition — “A waterfall is erosion caught in the act.” · Rocks, weathering and soils

Meanders and oxbow lakes

Rivers wander: the fast outer bend erodes while the slow inner bend builds, until a loop is cut off as an oxbow lake.

Builds on: The drainage basin · Erosion, transport, deposition — “Meanders are erosion and deposition working opposite banks.”

Coastal landforms: caves to stacks

Waves work a weakness in a cliff through crack, cave and arch to a lonely stack.

Builds on: Rocks, weathering and soils · Coasts & erosion — “Caves, arches and stacks are coastal erosion's sequence made visible.”

Why rivers flood

Floods happen when water arrives faster than the basin can pass it on — heavy rain, hard surfaces and bare slopes all feed in.

Builds on: The drainage basin — “Flooding is the basin filling faster than it can drain.” · Three kinds of rain

Global atmospheric circulation

Heat at the equator drives giant loops of air that shift heat and moisture around the planet.

Builds on: Air masses over Britain · Latitude and longitude — “The circulation model hangs on latitude; its cells live between named lines.”

World climate zones

From rainforest to tundra: the world's climate zones and the pattern latitude paints on them.

Builds on: Weather vs climate — “Zones are climates, not weather — that distinction must be solid first.” · Global atmospheric circulation — “Climate zones are where the global circulation parks its weather.”

Microclimates around us

Even one street has many climates — a sunny wall, a windy corner — and they can be measured and explained.

Builds on: Measuring the weather — “Microclimates are found by measuring, not guessing.” · Measuring and recording outdoors

Birth, death and natural change

Births minus deaths gives natural change — the quiet arithmetic behind whether a country grows or shrinks.

Builds on: Where people live and why — “Population change starts from knowing where the people actually are.” · Fractions ↔ decimals ↔ % (MATH)

The demographic transition model

A five-stage graph telling how births and deaths change as a country develops, from farm to office.

Builds on: Birth, death and natural change — “The model graphs births and deaths — know what they measure first.”

Migration: push and pull

People move because something pushes them out — and something else pulls them in. Both halves matter.

Builds on: Where people live and why — “Push and pull only show up against the map of where people already are.” · Population & urbanisation

Megacities

Cities of more than ten million people, most of them growing fastest in Asia and Africa.

Builds on: Population & urbanisation — “A megacity is urbanisation compounding year on year.” · Migration: push and pull

The tropical rainforest

The layered, dripping, most species-rich ecosystem on Earth, grown on surprisingly poor soil.

Builds on: World climate zones · Ecosystems: living connections — “The rainforest is the ecosystem idea at maximum volume.”

Deforestation: causes and costs

Why rainforests are cleared — timber, beef, soy, palm oil — and what the clearing costs locally and globally.

Builds on: Rocks, weathering and soils · What counts as a resource · The tropical rainforest — “You can't weigh the loss without knowing how the forest works.”

Energy: fossil and renewable

Where power comes from: burning stored carbon, or harvesting wind, water and sun — each with a price of its own.

Builds on: Earth's structure and plates · What counts as a resource — “Energy choices are resource thinking applied to power.”

Maps that show data

Maps that carry data: shading regions by value so a pattern jumps out — and knowing the traps of the technique.

Builds on: OS maps & grid references — “Data layers sit on top of base-map fluency.” · Where people live and why

GIS: maps in layers

Digital maps that stack layers — population, flood risk, transport — so questions get answered by overlaying them.

Builds on: Aerial and satellite images · Maps that show data — “GIS is thematic mapping with the layers gone digital.” · Latitude and longitude

Fieldwork enquiry

Ask, measure, conclude — geography done outdoors.

Builds on: OS maps & grid references — “No enquiry without reading the map first.” · Asking a geographical question — “The enquiry cycle starts with the question you learned to ask.” · Presenting and analysing field data · Averages & range (MATH)

China and India rising

Where China and India sit, and why the world's two billion-person countries matter in every global story.

Builds on: Population & urbanisation · Continents and oceans — “You need the world in view before zooming in on Asia.”

An Asian region up close

A close study of one Asian region, comparing its physical and human geography with places already known.

Builds on: China and India rising — “The region study stands on Asia's big picture.” · Megacities

Russia and the Middle East

Locating Russia and the Middle East: vast cold land in the north, dry strategic crossroads in the south-west, both rich in resources.

Builds on: Energy: fossil and renewable · Continents and oceans — “Locating Russia and the Gulf starts from the world map.”

Managing flood risk

Comparing ways to live with floods, from concrete walls to planting trees and letting fields flood on purpose.

Builds on: Why rivers flood — “You can't manage a flood you can't explain.” · Settlement sites and growth

Defending the coastline

Should a coastline be defended, and how? Sea walls, groynes and the harder question of what's worth protecting.

Builds on: Coastal landforms: caves to stacks — “Choosing defences means knowing what the sea is doing to the cliff.” · Managing flood risk · What counts as a resource

Glaciers shaped Britain

In the Ice Age, rivers of ice ground out the U-shaped valleys and sharp ridges Britain's uplands still wear.

Builds on: Contour lines and relief · Erosion, transport, deposition — “Ice erodes, carries and dumps — the same three jobs, slower.”

Tropical storms

The most powerful storms on Earth grow over warm oceans, spin, travel and fade over land.

Builds on: Rivers & the water cycle · Global atmospheric circulation — “Tropical storms are born where the circulation piles up heat and moisture.”

Climate since the Ice Age

Britain's climate has swung between ice sheets and warmth over thousands of years — change itself is not new.

Builds on: Glaciers shaped Britain · Weather vs climate — “Long-term change only registers once climate means the long average.”

Evidence for climate change

How we know today's warming is real and human-driven: thermometers, ice cores and satellites all telling one story.

Builds on: Climate since the Ice Age — “Today's warming only alarms when set against the natural record.” · Aerial and satellite images

Responding to climate change

Two levers against climate change: cut the causes (mitigation) or adjust to the effects (adaptation) — most plans pull both.

Builds on: Evidence for climate change — “Responses only make sense once the evidence has convinced you.”

Life in informal settlements

Where cities grow faster than housing, people build for themselves — with ingenuity, and without water, deeds or drains.

Builds on: Migration: push and pull · Megacities — “Informal settlements happen when megacity growth outruns building.”

Measuring development

Putting numbers on how well a country's people live: income is one measure; health and education tell the rest.

Builds on: Birth, death and natural change — “Development shows up first in birth and death rates.” · The demographic transition model

The development gap

The wide gap in wealth and wellbeing between countries, and the histories and geographies behind it.

Builds on: Africa: a continent of regions · Measuring development — “You can't discuss a gap you haven't measured.”

Aid, trade and development

What actually narrows the gap — emergency aid, long-term projects, fairer trade — and what each can't do.

Builds on: Migration: push and pull · The development gap — “Remedies only make sense once the gap itself is understood.”

Water scarcity

Fresh water is unevenly dealt: some places lack rain, others lack the money to store and move it.

Builds on: Rivers & the water cycle · Where people live and why · What counts as a resource — “Water stress is the resource idea at its most urgent.”

Feeding a growing world

Feeding more people from the same planet: better yields, less waste, and the trade-offs each fix carries.

Builds on: Where people live and why — “Feeding people starts with where the people are.” · Rocks, weathering and soils · Water scarcity

The four economic sectors

Jobs sort into four sectors — growing and digging, making, serving, knowing — and the mix tells a country's story.

Builds on: Population & urbanisation · What counts as a resource — “The sector ladder starts with raw materials — resources by another name.”

Presenting and analysing field data

Turning a clipboard of field numbers into graphs, averages and an honest conclusion.

Builds on: Measuring and recording outdoors — “You can only present data you collected with care.” · Maps that show data · Averages & range (MATH) — “Averages and range are how a soggy clipboard becomes a finding.”

Climate change synthesis

Pulling weather, people and resources into one account.

Builds on: Weather vs climate — “Synthesis stands on the weather/climate distinction.” · Responding to climate change · Population & urbanisation

Landscapes as connected systems

A GCSE-flavoured look at rivers, coasts and ice as one connected system moving sediment from hills to sea.

Builds on: The drainage basin · Defending the coastline — “Systems thinking begins where management decisions get hard.” · Glaciers shaped Britain

Sustainable cities

A GCSE-flavoured question: how a city grows without eating its own future — transport, housing, energy and green space.

Builds on: Responding to climate change · Life in informal settlements — “Future cities must answer the problems informal settlements pose today.”

Resource security and geopolitics

A GCSE-flavoured look at who controls energy, water and minerals, and how that shapes politics between nations.

Builds on: Russia and the Middle East · Energy: fossil and renewable — “Energy security is where resource politics bites hardest.” · Water scarcity

The Anthropocene

The idea that humans now change the planet as much as nature does — weighed with evidence, not slogans.

Builds on: Evidence for climate change — “The Anthropocene claim rests on the climate evidence.” · Deforestation: causes and costs · Feeding a growing world

Evaluating an enquiry

The GCSE habit of grading your own enquiry: what was weak, what would change, and how far the conclusion holds.

Builds on: Asking a geographical question · Fieldwork enquiry — “You can only evaluate an enquiry you've actually run.”

Statistical tests on field data

A first statistical test on field data — does the pattern hold, or could it be chance?

Builds on: Fieldwork enquiry · Presenting and analysing field data — “Tests come after honest description of the data.” · Scatter graphs & correlation (MATH) — “Spearman's rank formalises the pattern a scatter graph only hints at.”