At KS5, we have structured the scheme of work to first lay the foundations in algebra and functions before studying both the pure and applied maths in-depth, with the aim of giving insight into Mathematics and its applications as well as the confidence to explore the subject and solve problems.
Algebraic Expressions, fractions, dividing polynomials, factor theorem
Quadratics, equations & inequalities
Graphs and Transformations
Straight Line Graphs
Circles
Binomial Expansion
Trigonometry Basics
Radians, Arcs and Sectors
Trigonometric identities and equations
Vectors
Exponentials and Logarithms
Differentiation
Integration
Proof
Differentiation (2)
Functions
Statistics:
Data collection and large data set
Measures of location and spread & Diagrams and graphs
Probability
Discrete distributions and Hypothesis testing
Normal Distribution
Statistics: Regression & Correlation
Algebraic Fractions & Proof
Functions
Sequences & Series
Binomial Series
Trigonometry
Differentiation
Parametric Functions
Advanced Differentiation
Advanced Integration
Differential Equations
Numerical methods
Vectors
Mechanics:
Modelling & Kinematics
Forces and Motion
Variable Acceleration
Projectiles
Forces & Dynamics
Moments
Variable Acceleration
Year 12: Students cover all of the Applied and approximately 3/4 of the Pure A level Maths content plus the AS Further Maths Core Pure content.
Year 13: Students cover the remaining Pure A level Maths and Core Pure Further Maths content along with 2 options which vary according to demand.
Polynomials
Partial Fractions
Binomial Expansion
Proof
Differentiation (1)
Integration
Quadratics
Graphs
Radians
Trigonometric equations & identities
Exponentials & Logarithms
Functions
Further Trigonometry
Vectors
Circles
Differentiation (2)
Statistics
Data collection, summary statistics & graphs
Probability
Discrete Distributions & Hypothesis Testing
Correlation & Regression
Continuous Distributions
Mechanics
Modelling & Kinematics
Projectiles
Forces & Dynamics
Moments
Variable Acceleration
Volumes of Revolution
Matrices
Linear Transformations
Vectors
Complex Numbers
Argand Diagrams
Series & Roots of Polynomials
Proof by Induction
Advanced Differentiation
Advanced Integration
Differential Equations
Sequences & Series
Binomial Series
Numerical methods
Parametric Functions
More Complex Numbers
Differential Equations
Advanced Series
Methods in calculus, Volumes of Revolution
Polar coordinates
Hyperbolic Functions
There are variations for the different groups shown in full below.