Functions and relations
	Set notation and sets of numbers
	Identifying and describing relations and functions
	Types of functions and implied domains
	Sums and products of functions
	Composite functions
	Inverse functions
	Power functions
Coordinate geometry
	Linear equations
	Linear literal equations and simultaneous linear literal equations
	Linear coordinate geometry
	The geometry of simultaneous linear equations with two variables
	Simultaneous linear equations with more than two variables
Transformations
	Translations
	Dilations
	Reflections
	Combinations of transformations
	Determining transformations
	Using transformations to sketch graphs
	Transformations of power functions with positive integer index
	Determining the rule for a function from its graph
Polynomial functions
	Quadratic functions
	Determining the rule for a parabola
	The language of polynomials
	Division and factorisation of polynomials
	The general cubic function
	Polynomials of higher degree
	Determining the rule for the graph of a polynomial
	Solution of literal equations and systems of equations
Exponential and logarithmic functions
	Exponential functions
	The exponential function f(x)=e^x
	Exponential equations
	Logarithms
	Graphing logarithmic functions
	Determining rules for graphs of exponential and logarithmic functions
	Solution of exponential equations using logarithms
	Inverses
	Exponential growth and decay
Circular functions
	Defining circular functions: sine, cosine and tangent
	Further symmetry properties and the Pythagorean identity
	Graphs of sine and cosine
	Solution of trigonometric equations
	Sketch graphs of y=asinn(t±ε) and y=acosn(t±ε)
	Determining rules for graphs of circular functions
	The tangent function
	General solution of trigonometric equations
Differentiation
	The derivative
	Rules for differentiation
	Differentiating x^n where n is a negative integer
	The graph of the derivative function
	The chain rule
	Differentiating rational powers
	Differentiation of e^x
	Derivatives of circular functions
	The product rule
	The quotient rule
	Limits and continuity
	When is a function differentiable?
	The quotient rule with Circular Functions
	The product rule with Circular Functions
Applications of differentiation
	Tangents and normals
	Stationary points
	Types of stationary points
Integration
	The area under a graph
	Antidifferentiation: indefinite integrals
	The antiderivative of (ax+b)^r
	The antiderivative of e^kx
Discrete random variables and their probability distributions
	Sample spaces and probability
	Conditional probability and independence
	Discrete random variables
	Expected value (mean), variance and standard deviation
The binomial distribution
	Bernoulli sequences and the binomial probability distribution
	The graph, expectation and variance of a binomial distribution
	Finding the sample size
Continuous random variables and their probability distributions
	Continuous random variables
	Mean and median for a continuous random variable
	Measures of spread
The normal distribution
	The normal distribution
	Standardisation and the 68–95–99.7% rule
	Solving problems using the normal distribution
	The normal approximation to the binomial distribution
Sampling and estimation
	Populations and samples
	The exact distribution of the sample proportion
	Approximating the distribution of the sample proportion
	Confidence intervals for the population proportion