Reviewing linear equations
	Linear equations
	Constructing linear equations
	Simultaneous equations
	Constructing simultaneous linear equations
	Solving linear inequalities
	Using and transposing formulas
Reviewing coordinate geomeotry
	Distance and midpoints
	The gradient of a straight line
	The equation of a straight line
	Graphing straight lines
	Parallel and perpendicular lines
	Families of straight lines
	Linear models
	Simultaneous linear equations
Quadratics
	Expanding and collecting like terms
	Factorising
	Quadratic equations
	Graphing quadratics
	Completing the square and turning points
	Graphing quadratics in polynomial form
	Solving quadratic inequalities
	The general quadratic formula
	The discriminant
	Solving simultaneous linear and quadratic equations
	Families of quadratic polynomial functions
	Quadratic models
	Completing the square with algebra recap
	Quadratic equations reloaded
	Pascal's traingle
A gallery of graphs
	Rectangular hyperbolas
	The truncus
	The graph of y^2=x
	The graph of y=√x
	Circles
	Determining rules
Functions and relations
	Set notation and sets of numbers
	Relations, domain and range
	Functions
	One-to-one functions and implied domains
	Piecewise-defined functions
	Applying function notation
	Inverse functions
	Functions and modelling exercises
Polynomials
	The language of polynomials
	Division of polynomials
	Factorisation of polynomials
	Solving cubic equations
	Cubic functions of the form f(x)=a(x−h)3+k
	Graphs of factorised cubic functions
	Solving cubic inequalities
	Families of cubic polynomial functions
	Quartic and other polynomial functions
	Applications of polynomial functions
	The bisection method
Transformations (Year 11)
	Translations of functions
	Dilations and reflections
	Combinations of transformations
	Determining transformations
	Transformations of graphs of functions
Probability
	Sample spaces and probability
	Estimating probabilities
	Multi-stage experiments
	Combining events
	Probability tables
	Conditional probability
	Independent events
	Solving probability problems using simulation
Counting methods
	Addition and multiplication principles
	Arrangements
	Selections
	Applications to probability
Discrete probability distributions
	Discrete random variables
	Sampling without replacement
	Sampling with replacement: the binomial distribution
Exponential functions and logarithms
	The index laws
	Rational indices
	Graphs of exponential functions
	Solving exponential equations and inequalities
	Logarithms
	Using logarithms to solve exponential equations and inequalities
	Graphs of logarithm functions
	Exponential models and applications
Circular functions
	Measuring angles in degrees and radians
	Defining circular functions: sine and cosine
	Another circular function: tangent
	Symmetry properties of circular functions
	Values of circular functions
	Graphs of sine and cosine
	Solution of trigonometric equations
	Sketch graphs of y=asinn(t±ε) and y=acosn(t±ε)
	Sketch graphs of y=asinn(t±ε)±b and y=acosn(t±ε)±b
	Further symmetry properties and the Pythagorean identity
	Numerical methods with a CAS calculator
	General solution of trigonometric equations
Rates of change
	Recognising relationships
	Constant rate of change
	Average rate of change
	Instantaneous rate of change
Differentiation and antidifferentiation of polynomials
	The derivative
	Rules for differentiation
	Differentiating x^n where n is a negative integer
	Graphs of the derivative function
	Antidifferentiation of polynomial functions
	Limits and continuity
	When is a function differentiable?
Applications of differentiation and antidifferentiation of polynomials
	Tangents and normals
	Rates of change
	Stationary points
	Types of stationary points
	Applications to maximum and minimum problems
	Applications of motion in a straight line
Further differentiation and antidifferentiation
	The chain rule
	Differentiating rational powers
Integration
	Estimating the area under a graph
	Finding the exact area: the definite integral
	Signed area