KS5 Mathematics and Further Maths

Overview

All students follow the same Mathematics course that contains Pure (Core), Mechanics and Statistics. It is no longer possible to choose only Mechanics or Statistics (National Decision). The Faculty also runs a popular Further Maths course intended to extend, engage and develop the most able mathematicians. Further Maths can only be taken in conjunction with Maths and not as a standalone A’ Level. The school follows the Edexcel syllabus for both Maths and Further Maths.

Course Structure
Mathematics

All students will sit three examinations at the end of their year 13. These papers will be:

  • Pure 1
  • Pure 2
  • Statistics and mechanics

Each paper is 2 hours long and worth 1/3 of the final grade.

Further Mathematics

All students will sit four examinations at the end of their Year 13. These papers will be:

  • Core Pure 1
  • Core Pure 2
  • Further statistics 1
  • Further mechanics 1

Each paper is 1 hour 30 minutes long and worth 25% of the final grade.

 

Year 12  Mathematics

 Pure (Core)  Statistics  Mechanics
Problem-Solving Data Collection Kinematics
Surds and Indices Data Processing, Presentation and Interpretation Forces and Newton’s Laws of Motion
Quadratic Functions Probability Variable Acceleration
Equations and Inequalities The Binomial Distribution
Coordinate Geometry Statistical Hypothesis Testing using the Binomial Distribution
Trigonometry
Polynomials
Graphs and Transformations
The Binomial Expansion
Differentiation
Integration
Vectors
Exponentials and Logarithms    

 

Year 12  Further Mathematics

 Pure (Core)  Statistics  Mechanics
Matrices and Transformations Statistical Problem Solving Kinematics
Introduction to Complex Numbers Discrete Random Variables Forces and Motion
Roots of Polynomials Discrete Probability Distributions A Model for Friction
Sequences and Series Bivariate Data (Correlation Coefficients) Centre of Mass 1
Complex Numbers and Geometry Bivariate Data (Regression Lines) Dimensional Analysis
Matrices and their Inverses Chi-Squared Tests
Vectors and 3D Space Conditional Probability

 

Year 13  Mathematics

 Pure (Core) Statistics Mechanics
Proof Probability Kinematics
Trigonometry Statistical Distributions Forces and Motion
Sequences and Series Statistical Hypothesis Testing Moments of Forces
Functions Projectiles
Differentiation A Model for Friction
Trigonometric Functions
Further Algebra
Trigonometric Identities
Further Differentiation
Integration
Parametric Equations
Vectors
Differential Equations
Numerical Methods

 

Year 13  Further Mathematics

Pure (Core) Statistics Mechanics
Vectors Probabilities density functions Moments
Matrices Expectation algebra and Normal Distribution Elastic collisions
Series and Induction Confidence Intervals Momentum
Further Calculus Hypothesis testing Work, energy, power
Polar Coordinates Simulation
Maclaurin Series
Hyperbolic Functions
Applications of Integration
First Order Differential Equations
Complex Numbers
Second Order Differential Equations

 

Other Useful Information

  • United Kingdom Mathematics Trust (UKMT) – Charity which runs the Junior and Intermediate challenges, available to our high ability learners. In addition to this, they also organise the team maths challenge.
  • Youtube – many excellent videos that can help with understanding tricky concepts.
  • NRICH – Website that specialises in open-ended mathematical tasks. Designed to stretch our most able learners.