Maths

Interactive maths lessons. Predict, try it on a board, study a worked example, change one thing at a time, practise, then make your own. Four pathways follow the curriculum's strands; start with whichever your class is working on. Teachers will find a ten-minute tour on the page For maths teachers, linked from the home page.

Algebra

From patterns and expressions to solving equations, then graphs of linear relations.

Start here to use letters for numbers, solve equations, then turn rules into straight-line graphs.

Open the Algebra trail →

Number

Integers, fractions, decimals and percentages, ratios and powers.

Start here for negative numbers, powers, fractions and percentages: the tools every other trail uses.

Open the Number trail →

Geometry and measurement

Angles and shapes, nets, views, transformations and algorithms, then area, volume, circles and Pythagoras.

Start here to measure angles, shapes, areas and volumes, and see why the formulas work.

Open the Geometry and measurement trail →

Statistics and probability

Collecting and displaying data, measures of centre, and chance.

Start here to collect and display data, and work out how likely things are.

Open the Statistics and probability trail →

Algebra

From patterns and expressions to solving equations, then graphs of linear relations.

Foundations

Algebra FoundationsExpressions and equations, solved three ways and checked.Expressions and equations, three ways to solve them, each checked, then brackets, formulas, harder equations and inequalities.Linear relationsRules, tables and straight-line graphs.Straight-line graphs. What the numbers in a rule do to its line, solving equations with graphs, and modelling with lines.After: Algebra Foundations and Number Foundations

Extensions

Non-linear relationsCurves: quadratics and exponentials.Quadratics, exponentials and their graphs.After: Linear relationsComing later

Number

Integers, fractions, decimals and percentages, ratios and powers.

Foundations

Number FoundationsIntegers, powers, fractions, decimals and percentages.Integers, squares and powers, fractions, decimals and percentages, place value, rounding and estimating, ratios, rates and modelling (with Year 8 rates, percentage change and money models). Compare and calculate with integers; squares, roots, prime factors, HCF and LCM; equivalent fractions and conversions; the four operations with fractions and percentages; then negative fractions and decimals.

Extensions

Irrational numbers and index lawsRecurring decimals, irrational numbers and index laws.Which fractions make decimals that stop and which repeat, numbers whose digits never stop or repeat (square roots and π), and the laws for multiplying and dividing powers.After: Number Foundations

Geometry and measurement

Angles and shapes, nets, views, transformations and algorithms, then area, volume, circles and Pythagoras.

Foundations

Angles and shapesAngle facts, naming shapes, nets, transformations and algorithms.Angles at parallel lines, then angle sums, then naming shapes. Corresponding and alternate angles are equal and co-interior angles add to 180°; a triangle's angles add to 180°, and any polygon's to 180° for each triangle it splits into; triangles, quadrilaterals and polygons are classified by their sides and angles.Area, volume, circles and PythagorasArea, volume, circles, Pythagoras and time zones.Why the area formulas work (cut and move, halve and double), then area problems; volume as layers of the base; the parts of a circle, π, and the circumference; then Pythagoras' theorem for right-angled triangles; for Year 8, composite and irregular shapes, capacity and prism problems, the area of a circle, and time zones.After: Angles and shapes and Number Foundations and Algebra Foundations

Extensions

TrigonometrySimilar triangles and sin, cos and tan.Similar triangles and the trigonometric ratios.After: Area, volume, circles and PythagorasComing later

Statistics and probability

Collecting and displaying data, measures of centre, and chance.

Foundations

Data and chanceData displays, averages and chance.Collect and display data, find its centre and spread, and compare data sets; then list what can happen, give it a probability, and test it with experiments.After: Number Foundations

Extensions

Statistical investigationsSamples and investigations with real data.Sampling, variation and investigations with real data.After: Data and chanceComing later

Curriculum mapEvery Years 7–10 descriptor by strand and year: how they connect, and which have lessons.