Positive Numbers

Negative Numbers

Introduction to Algebra

Solving Linear Equations

Fractions

Decimals

Percentages

Angles, Parallel Lines and Triangles

Transformations, Symmetry and Congruence

Perimeter and Area of Triangles and Circles

Volume and Surface Area of Cuboids, including Cubes

Collecting, Organising and Displaying Data

Factors and Multiples

Approximation and Estimation

Ratio, Rate and Speed

Working with percentages

Algebraic Expressions, Formulae and Proof

Linear equations and Inequalities

Coordinates and Linear Functions

Number Patterns

Angles in Quadrilaterals and Polygons

Perimeter and Area of Parallelograms and Trapezia

Volume and Surface Area of Prisms and Cylinders

Statistical Graphs

Indices and Standard Form

Proportion

Linear Equations in Two Variables

Quadratic Expressions

Non-Linear Graphs

Geometric Constructions and Loci

Pythagoras’ Theorem

Congruence, Similarity and Enlargements

Trigonometry and Bearings

Volume and Surface Area of Pyramids and Cones

Data Analysis

Probability

Sets and Venn Diagrams

Measures and Accuracy

Direct and Inverse Proportion

Similarity and Congruence

Handling Data

Compound Measures

Indices and Surds

Solving Quadratics

Graphical Inequalities

Simultaneous Equations

Circle Theorems

Sequences and Iterations

Advanced trig

Graphs

Rates of change

Functions

Vectors

Transformations of Functions

3D Pythagoras and Trigonometry

Certain students will also be studying the following topics as part of the AQA Level 2 Further Mathematics course:

• Matrices
• Factor theorem
• Differentiation
   

Students studying A Level Maths study:

Core Maths
Algebra, Curve Sketching, Trigonometry, Calculus, Co-ordinate Geometry, Sequences, Logs and Exponentials, Vectors, Graphs and Transformations.

Statistics

Probability, Discrete Random Variables, Working with Large Data Sets, Bivariate Data, Binomial Distribution, Hypothesis Testing.

Mechanics

Kinematics, Forces and Newton's Laws of Motion, Variable Acceleration

Further Maths students also study

- Complex Numbers, Matrices, Series, Chi-squared tests, Numerical Methods, Normal and Poisson Distributions, Further Hypothesis Testing.

Students studying A Level Maths study:

Core Maths

Functions, Further Calculus, Trigonometric Functions and Identities, Parametric Equations, Differential Equations, Numerical Methods.

Statistics

Working with data, Probability, Statistical Distributions, Statistical Hypothesis Testing.

Mechanics

Kinematics, Forces and Motion, Moments of Forces, Projectiles

Further Maths students also study
Series and induction, Further Calculus, Polar Coordinates, Maclaurin Series, Hyperbolic Functions, First and Second Order Differential Equations, Work, Energy and Power, Momentum and Impulse, Centre of Mass, Dimensional Analysis.