Key Stage 3

Year 7

Working with place value

Introducing algebra

Lines and angles

The probability scale

Powers, roots and rounding

Formulae, sequences and rules

Using measurements

Representing and interpreting data

Order of operations

Linear equations

Properties of shapes and solids

Ratio

Graphs of linear functions

Congruence and scale drawings

Year 8

Arithmetical operations with decimals and negatives

Linear equations with unknowns on both sides

Parallel, alternate and corresponding angles

Sets and unions

Percentages

Sequences and relationships

Symmetries and constructions

Using averages, range and relationships to describe data

Multiples, factors and primes

Linear equations: graphically and algebraically

Accuracy with perimeter, area and volume

Dividing quantities into ratios

Algebraic equations

Translations, rotations and reflections

Diagrams and constructions

Year 9

Arithmetic with fractions

Expressions and formulae

Angles and polygons

Sample spaces to calculate theoretical probabilities

Ratio and percentage change

Rearranging and solving linear equations

Central tendency and spread

Mathematical models

Using graphs to solve equations

Pythagoras theorem and trigonometry in right-angled triangles

Standard form and the number system

Geometric sequences

Compound units

Mathematical relationships

Key Stage 4

Year 10

Ratio and proportion

Percentage problems

Sequences

Probability calculations for more than one event

Numbers and accuracy

Linear algebra

Functions

Circles

Trigonometry

Measures and units

Quadratic equations

Year 11

Rates of change

Further sequences

Grouped frequency data representation

Trends

Combining transformations

Vectors

3D shapes

Inequalities

Proof

Advanced area and volume

Key Stage 5

Year 12

Pure mathematics topics

Algebraic expressions

Quadratics

Equations and inequalities

Graphs and transformations

Straight line graphs

Circles

Algebraic methods

Trigonometric ratios

Trigonometric identities and equations

Vectors

Differentiation

Integration

Exponentials and logarithms

Applied mathematics topics

Data collection

Measures of location and spread

Representations of data

Correlation

Probability

Statistical distributions

Hypothesis testing

Modelling in mechanics

Constant acceleration

Forces and motion

Variable acceleration

Year 13

Pure mathematics topics

Algebraic methods

Functions and graphs

Sequences and series

Binomial expansion

Radians

Trigonometric functions

Trigonometry and modelling

Parametric equations

Differentiation

Numerical methods

Integration

Vectors

Applied mathematics topics

Regression, correlation and hypothesis testing

Conditional probability

The normal distribution

Moments

Forces and friction

Projectiles

Applications of forces

Further kinematics