Outlined below are the pure maths / core topics covered for AQA Mathematics A-Level

It is advisable to check the official AQA Mathematics A-Level specification for any changes.

## Contents for Pure Maths AQA

## Prior Knowledge

## Algebra Basics

- Expanding a single bracket
- Expanding two or more brackets
- Squaring a bracket
- Terms in expressions and equations
- Identity or equation - what is the difference?
- Linear Equations with a positive x term
- Linear equations with a negative x-term
- Linear equations with two x-terms
- Linear equations with brackets
- Fractional linear equations
- f(x) notation
- Polynomials

## Polynomials

## Pythagoras’ Theorem

## Trigonometry Introduction

## Algebra and Functions : 1

## Indices

- Introduction to indices (exponents)
- Multiplication rules for indices
- Division rule for indices
- Negative indices
- Fractions raised to a negative index
- Rational (fractional) indices
- Simplifying terms with negative powers
- Expressing terms in the form ax
^{n} - Equations in which the power has to be found
- Summary of indices
- Exam Questions - Indices

## Surds

## Factorising

## Completing the Square

## Quadratic Equations

## Quadratic Equations – Roots and Discriminant

## Quadratic Graphs

## Simultaneous Equations

## Inequalities

## Algebraic Long Division

## Rational Expressions – Simplifying

## Coordinate Geometry

## Gradient of Straight Lines

## Straight Lines

## Intersection of Graphs

## Exam Questions – Straight Lines

## Circles

## Parametric Equations

## Algebra and Functions : 2

## Sketching Cubic and Reciprocal Curves

## Modulus Functions, Equations and Inequalities

## Working with Functions

## Graph Transformations

## Partial Fractions

## Sequences and Series

## Binomial Expansion

- Binomial expansion
- Exam Questions - Binomial expansion for positive integer powers
- Exam Questions - Binomial expansion, comparing coefficients
- Exam Questions - Binomial expansion, estimating a value
- Exam Questions - Binomial expansion, other
- Exam Questions - Binomial expansion for rational and negative powers
- Exam Questions - Partial fractions with the binomial expansion