Number systems and sets of numbers

Fractions, decimals, percentages and ratio

Direct and inverse proportion

Rates, speed, distance and time

Approximation, rounding and estimation

Absolute value and inequalities on the number line

Laws of exponents

Standard form

Fractional exponents

Logarithms

Upper and lower bounds

Surds, roots and irrational numbers

Rationalising denominators

Number sequences and patterns

Arithmetic and geometric sequences

Algebraic expressions and substitution

Factorising expressions

Factorising quadratics with leading coefficient not 1

Solving linear equations and inequalities

Forming equations from context

Rearranging formulae

Solving quadratic equations

Simultaneous equations

Quadratic and non-linear simultaneous equations

Relations, mappings and function notation

Domain and range

Linear functions and graphs

Parallel and perpendicular lines

Midpoint and distance between two points

Quadratic functions and their graphs

Solving systems of equations graphically

Transformations of functions

Rational and reciprocal functions

Exponential functions

Cubic and polynomial graphs

Real-life graphs

Algorithms and flowcharts

Linear programming

Networks and graphs

Angles, parallel lines and polygons

Perimeter and area

Surface area and volume of 3D solids

Pythagoras theorem

Converse of Pythagoras theorem

Similarity and congruence

Transformations

Enlargement by rational scale factors

Symmetry and tessellation

Circle theorems and constructions

Coordinate geometry and describing movement

Vectors and translation vectors

Matrices

Trigonometric ratios in right-angled triangles

Bearings and scale drawing

Applications of right-angled trigonometry

Sine rule and cosine rule

Area of a triangle using sine

Trigonometric functions and their graphs

Collecting and classifying data

Representing data

Averages and spread

Cumulative frequency and box plots

Scatter graphs and correlation

Standard deviation

Histograms

Correlation and regression

Probability basics and sample spaces

Experimental probability and expected frequency

Sets and Venn diagrams

Combined events and tree diagrams

Conditional probability