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Key Stage 3 Mathematics

At KS3 we follow topics sequentially:


N1 Place value, ordering and rounding


N1.1 Place value

N1.2 Powers of ten

N1.3 Ordering decimals

N1.4 Rounding


N2 Negative numbers


N2.1 Ordering Integers

N2.2 Adding and subtracting integers

N2.3 Using negative numbers in context

N2.4 Multiplying and dividing integers


N3 Multiples, factors and primes


N3.1 Divisibility

N3.2 Multiples and factors

N3.3 Prime numbers

N3.4 Prime factor decomposition

N3.5 HCF and LCM


N4 Powers and roots


N4.1 Square and triangular numbers

N4.2 Square roots

N4.3 Cubes and cube roots

N4.4 Powers


N5 Using fractions


N5.1 Fractions of shapes

N5.2 Equivalent fractions

N5.3 One number as a fraction of another

N5.4 Fractions and decimals

N5.5 Ordering fractions


N6 Calculating with fractions


N6.1 Adding and subtracting fractions

N6.2 Finding a fraction of an amount

N6.3 Multiplying fractions

N6.4 Dividing by fractions


N7 Percentages


N7.1 Equivalent fractions, decimals and percentages

N7.2 Calculating percentages mentally

N7.3 Calculating percentages on paper

N7.4 Calculating percentages with a calculator

N7.5 Comparing proportions

N7.6 Percentage change


N8 Ratio and proportion


N8.1 Ratio

N8.2 Dividing in a given ratio

N8.3 Direct proportion

N8.4 Using scale factors

N8.5 Ratio and proportion problems


N9 Mental methods


N9.1 Order of operations

N9.2 Addition and subtraction

N9.3 Multiplication and division

N9.4 Numbers between 0 and 1

N9.5 Problems and puzzles


N10 Written and calculator methods


N10.1 Estimation and approximation

N10.2 Addition and subtraction

N10.3 Multiplication

N10.4 Division

N10.5 Using a calculator

N10.6 Checking results






A1 Expressions


A1.1 Writing expressions

A1.2 Collecting like terms

A1.3 Multiplying terms

A1.4 Dividing terms

A1.5 Factorising expressions

A1.6 Substitution


A2 Equations


A2.1 Solving simple equations

A2.2 Equations with the unknown on both sides

A2.3 Solving more difficult equations

A2.4 Equations and proportion

A2.5 Non-linear equations


A3 Formulae


A3.1 Introducing formulae

A3.2 Using formulae

A3.3 Changing the subject of a formula

A3.4 Deriving formulae


A4 Sequences


A4.1 Introducing sequences

A4.2 Describing and continuing sequences

A4.3 Generating sequences

A4.4 Finding the nth term

A4.5 Sequences from practical contexts


A5 Functions and graphs


A5.1 Function machines

A5.2 Tables and mapping diagrams

A5.3 Finding functions

A5.4 Inverse functions

A5.5 Graphs of functions


A6 Real-life graphs


A6.1 Reading graphs

A6.2 Plotting graphs

A6.3 Conversion graphs

A6.4 Distance-time graphs

A6.5 Interpreting graphs





S1 Lines and angles


S1.1 Labelling lines and angles

S1.2 Parallel and perpendicular lines

S1.3 Calculating angles

S1.4 Angles in polygons


S2 2-D Shapes


S2.1 Triangles and quadrilaterals

S2.2 Polygons

S2.3 Congruence

S2.4 Tessellations

S2.5 Circles


S3 3-D Shapes


S3.1 Solid shapes

S3.2 2D representations of 3D spaces

S3.3 Nets

S3.4 Plans and elevations

S3.5 Cross-sections


S4 Coordinates and transformations 1


S4.1 Coordinates

S4.2 Reflection

S4.3 Reflection symmetry

S4.4 Rotation

S4.5 Rotation symmetry


S5 Coordinates and transformations 2


S5.1 Translation

S5.2 Enlargement

S5.3 Scale drawings

S5.4 Combining transformations


S6 Construction and loci


S6.1 Drawing lines and angles

S6.2 Constructing triangles

S6.3 Constructing lines and angles

S6.4 Constructing nets

S6.5 Loci


S7 Measures


S7.1 Converting units

S7.2 Estimating measurements

S7.3 Reading scales

S7.4 Measuring angles

S7.5 Bearings


S8 Perimeter, area and volume


S8.1 Perimeter

S8.2 Area

S8.3 Surface area

S8.4 Volume

S8.5 Circumference of a circle

S8.6 Area of a circle





D1 Planning and collecting data

D1.1 Planning a statistical enquiry

D1.2 Collecting data

D1.3 Organising data

D1.4 Writing a statistical report


D2 Processing data


D2.1 Finding the mode

D2.2 Calculating the mean

D2.3 Finding the median

D2.4 Finding the range

D2.5 Calculating statistics


D3 Representing and interpreting data


D3.1 Bar charts

D3.2 Pie charts

D3.3 Frequency diagrams

D3.4 Line graphs

D3.5 Scatter graphs

D3.6 Comparing data 


D4 Probability


D4.1 The language of probability

D4.2 The probability scale

D4.3 Calculating probability

D4.4 Probability diagrams

D4.5 Experimental probability