# Mathematics

**Extra-Curricular Activities**

- UKMT Maths Challenge
- KS3 and KS4 Homework Support
- Belgium Euro Space Center trip
- Maths in Action conferences
- Sixth Form Problem Solving day

**Year 7**

Using numbers

Sequences

Perimeter and area (and Volume*)

Decimal numbers

Working with numbers

Statistics

Algebra

Fractions

Angles

Coordinates and graphs

Percentages

Probability

Symmetry

Equations

Interpreting data

3D Shapes

*Ratio

(*Topics studied by Higher students)

**Year 8**

Working with numbers

Geometry

Probability

Percentages

Sequences

Area (*Surface area and volume)

Graphs

Simplifying numbers

Interpreting data

Algebra

Congruence and scaling

Fractions and decimals

Proportion

Circles

Equations and formulae

*Comparing data

(*Topics studied by Higher students)

Edexcel GCSE Mathematics (1MA1) GCSE-Mathematics-Specification.pdf

**Year 9**

Percentages

Equations and formulae

Polygons

Using data

Circles

Applications of graphs

Pythagoras’ theorem

Enlargements

Fractions

Algebra

Decimal numbers

Surface area and volume of 3D shapes

Prisms and cylinders

Solving equations graphically

Distance Speed Time

Compound Units

Similar triangles

Right angled triangles

*Geometric sequences

*Probability

(*Topics studied by Higher students)

**Year 10**

Basic number

Measures and scale drawings

Charts, tables and averages

Angles

Number properties

Approximations

Decimals and fractions

Linear graphs

Expressions and formulae

Ratio, speed and proportion

Perimeter and area

Transformations

Probability and events

Volume and surface area of prisms

Linear equations

*Constructions and loci

*Powers and standard form

*Surds

*Algebra: Quadratic equations

*Sampling and more complex diagrams

*Statistics

(*Topics studied by Higher students)

**Year 11**

Percentages and compound measures

Percentages and variation

Representation and interpretation

Constructions and loci

Curved shapes and pyramids

Number and sequences

Right angled triangles

Congruence and similarity

Combined events

Powers and standard form

Simultaneous equations and linear inequalities

Non-linear graphs

*Geometry and measures

*Functions

*Vectors

*Trigonometry

*Rates of change

*Proof

(*Topics studied by Higher students)

**Year 12**

Course title: AQA GCE A Level Mathematics

Statistics

Large Data Set (LDS)

Working with LDS

LDS and Sampling

Sampling

Probability

Binomial Distribution

Data Presentation

Bivariate Data

Average, Spread and Outliers

Normal Distribution

Statistical Hypothesis Testing

Binomial Hypothesis Testing

Inference

Conditional Probability

Pure

Coordinate Geometry

Equations of circles

Binomial Expansion

Graphs and Transformations

Polynomial Equations

Exponentials and Logarithms

Exponential Graphs

Modelling with exponentials

Inequalities

Algebra and Functions

Series and Sequences

AP and GP

Parametric form

Modelling using parametric equations

Algebra and Functions

Proof

Vectors

Differentiation and Gradients

Gradient Functions and 2nd derivatives

1st Principles of Differentiation

Equations of tangents and normal

Stationary Points

Trigonometry

Trigonometry Functions

Fundamental Theorem of Calculus

Definite Integrals

Area between curve and x-axis

Radians, Arcs and Sectors

Radians and Trigonometry

Numerical Methods

Newton-Raphson

Introduction to Differential Equations

Analytical Solutions of Differential Equations

Mechanics

Units and Kinematics

Kinematic Graphs

Suvat Equations

Forces

Newton’s Third Law

Equilibrium

Friction

Variable Acceleration

Moments about a point

Modelling Static problems

**Year 13**

Course title: AQA GCE A Level Mathematics

Statistics

Normal and Hypothesis

Regression and Correlation

Pure

Partial Fractions

Modulus Function

Binomial Expansion

Product and Quotient Rule

Chain Rule

Trigonometry Identities

Further Numerical Methods

Points of Inflection

Functions and Modelling

Further Integration

Integration by parts

Further Differential equations

Proof by Contradiction

3D Vectors

Area between two curves

Integration as limit of a sum

Integration by substitution

Exponential Calculus

Trigonometrical Calculus

Further Parametrics

Mechanics

Units and Kinematics

Kinematic Graphs

Suvat Equations

Forces

Newton’s Third Law

Equilibrium

Friction

Variable Acceleration

Moments about a point

Modelling Static problems

**AS Further Maths**

Course title: AQA GCE AS Level Further Mathematics

Compulsory:

Proof

Complex numbers

Matrices

Further Algebra and Functions

Further Calculus

Further Vectors

Polar coordinates

Hyperbolic functions

Choice: Students must study two of these options.

Optional application 1 – mechanics

Optional application 2 – statistics

Optional application 3 – discrete

**A Level Further Maths**

Course title: AQA GCE A Level Further Mathematics

Proof

Complex numbers

Matrices

Further Algebra and Functions

Further Calculus

Further Vectors

Polar coordinates

H: Hyperbolic functions

I: Differential equations

J: Trigonometry

K: Numerical Methods

Choice: Students must study two of these options.

Optional application 1 – mechanics

Optional application 2 – statistics

Optional application 3 – discrete