Further Maths

Curriculum Mapping Document

Year

Term

Curriculum

Assessment

12

Autumn 1

Complex Numbers

Matrices and multiplication of them

Radian Overview

Polar Coordinates

Graphs and Networks

Flows

Critical Path Analysis

N/A (students focus on “normal” Maths assessments being of good enough quality in order to justify studying the harder Further Maths course)

Autumn 2

Transformations

Successive transformations

Invariance

Determinant/inverse of a matrix

Roots of quadratics

Roots of cubics

Roots of quartics

Roots of complex polynomials

Vectors

Critical Path Analysis (Cont…)

Game Theory

Abstract Algebra

Linear Programming

Dimensional Analysis

Autumn Test

Spring 1

Sums of series – method of differences

Proof by Induction

Maclaurins series

Conics

Hyperbolic functions

Integration

Momentum

Work, Energy and Power

Spring Test – First Trial Exam

Spring 2

Graphs of Rational Functions

Inequalities

Complex Numbers

Circular Motion

2nd Trial Exam

Summer 1

REVISION FOR AS EXAMINATION

ACTUAL AS EXAMINATIONS

Summer 2

Further Calculus

Further Mechanics and Discrete

Teacher Assessments (via h/w)

13

Autumn 1

Further Algebra

Further Vectors

Complex Numbers

Matrices 2

Teacher Assessments (via h/w)

Autumn 2

Matrices 2 (Cont…)

Further Vectors (Cont…)

Hyperbolic Functions

Polar Coordinates 2

Differential Equations 2

Autumn Test

Spring 1

Differential Equations 2 (Cont…)

Graphs 2

Network Flows 2

Numerical Methods

Momentum and Collisons 2

Trial Exams

Spring 2

Linear Programming 2

Critical Path Analysis 2

Game Theory 2

Binary

Dimensional Analysis 2

Work, Energy and Power 2

Further Trial Exams

Summer 1

REVISION

Teacher Assessments (via h/w)

Summer 2

SUMMER EXAMS

n/a