Key Stage 3 Mathematics
At KS3 we follow topics sequentially:
NUMBER
|
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
|
ALGEBRA
|
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
|
SHAPE, SPACE AND MEASURES
|
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
|
HANDLING DATA
|
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
|
