Save My Exams AQA GCSE Further Maths Revision Notes 2018

1. Number

2. Algebra & Functions

Expanding & Factorising

Factorising Quadratics

Quadratics Factorising Methods

Completing the Square

Solving Quadratic Equations

Equating Coefficients

Forming & Solving Equations

Binomial Expansion

Problem Solving with Binomial Expansion

Applications of Factor Theorem

Quadratic & Polynomial Graphs

Exponential Graphs

Solving Equations using Graphs

Linear Simultaneous Equations

Quadratic Simultaneous Equations

Simultaneous Equations with 3 Variables

Linear Inequalities

Quadratic Inequalities

Functions Toolkit

Composite & Inverse Functions

Finding nth Terms of Sequences

Using nth Terms of Sequences

3. Coordinate Geometry

Coordinate Geometry

Gradients

Equation of a Straight Line

Equation of a Circle

Tangents to Circles

4. Calculus

Definition of Gradient

Differentiating Powers of x

Tangents & Normals

Increasing & Decreasing Functions

Second Derivatives

Stationary Points & Turning Points

Modelling with Differentiation and Optimisation

5. Matrix Transformations

Introduction to Matrices

Multiplying Matrices

Transformations with Matrices

Combining Matrix Transformations

6. Geometry

Geometric Proof

Right-Angled Trigonometry

Sine, Cosine Rule & Area of Triangles

3D Pythagoras & Trigonometry

Trigonometric Graphs

Trigonometric Identities

Solving Trig Equations

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