Mathematics
- Counting and numbers to 20
- Patterns and sorting
- Number bonds to 10 and 20
- Odd and even numbers
- Place value
- Adding and subtracting
- Column addition and subtraction
- Mental maths strategies
- Times tables
- Multiplying and dividing
- Long division
- Roman numerals
- Factors, multiples and primes
- Negative numbers
- Order of operations
- Rounding and estimating
- Upper and lower bounds
- Powers and roots
- Laws of indices
- Standard form
- Surds
- Recurring decimals
- Fractions
- Equivalent fractions
- Mixed numbers and improper fractions
- Adding and subtracting fractions
- Multiplying and dividing fractions
- Decimals
- Percentages
- Fractions, decimals and percentages
- Percentage change
- Ratio
- Proportion
- Speed and other rates
- Proportion equations
- Simple and compound interest
- Growth and decay
- Annuities, loans and investments
- Expressions
- Substitution and formulae
- Expanding and factorising
- Linear equations
- Changing the subject
- Inequalities
- Sequences
- Straight-line graphs
- Simultaneous equations
- Quadratic equations
- Completing the square
- Quadratic graphs
- Other graphs
- Algebraic fractions
- Functions
- Transforming graphs
- Algebraic proof
- Polynomials and the factor theorem
- Exponentials and logarithms
- Arithmetic and geometric series
- The binomial expansion
- Partial fractions
- Iteration and numerical methods
- Limits and continuity
- Differentiation
- Chain, product and quotient rules
- Stationary points and optimisation
- Integration
- Integration by substitution and by parts
- Areas and volumes by integration
- Differential equations
- Taylor and Maclaurin series
- Functions of several variables
- Shapes and solids
- Position and direction
- Symmetry
- Angles
- Properties of quadrilaterals
- Angles on a line and round a point
- Angles in triangles
- Angles in parallel lines
- Angles in polygons
- Perimeter and area
- Circles
- Arcs and sectors
- Volume and surface area
- Cones, spheres and pyramids
- Coordinates
- Transformations
- Scale drawings and maps
- Bearings
- Constructions and loci
- Congruence and similarity
- Pythagoras’ theorem
- Circle theorems
- Geometric proof
- Coordinate geometry
- Vectors
- Right-angled trigonometry
- Exact trig values
- Sine and cosine rules
- Trig graphs
- Trig identities and equations
- Radians
- Comparing and measuring
- Telling the time
- Money
- Units and conversions
- Density and compound measures
- Tally charts and pictograms
- Charts and graphs
- Averages and range
- Collecting data and sampling
- Quartiles and box plots
- Cumulative frequency and histograms
- Scatter graphs
- Variance and standard deviation
- Correlation and regression
- The normal distribution
- Hypothesis testing
- Probability
- Venn diagrams and sets
- Tree diagrams and combined events
- Conditional probability
- Counting: permutations and combinations
- The binomial distribution
- Discrete random variables
- Matrices
- Determinants and inverses
- Systems of linear equations
- Eigenvalues and eigenvectors
- Complex numbers
- Vectors in 3D, lines and planes
- Proof by induction and contradiction
- Binary and number bases
- Sets and logic
- Number theory
- Graphs and networks
- Recurrence relations
- Constant acceleration (SUVAT)
- Forces and Newton’s laws
- Projectiles
- Moments