A collection of resources (notes, worked examples, an exercise, exam style questions) covering lines of invariant points and invariant lines under matrix transformations in 2D

Introduction, graphs, transformations

Plotting, transformations, key features

Exponential form, finding roots of complex numbers

A flow-chart and an activity with solutions to identify maximums, minimums and points of inflection including non-stationary points of inflection.

Including determinants, inverses and transposes of 2 by 2 matrices. Accompanying word document needed as well as Tarsia file

Determinants and inverses of 2 by 2

arctan, arcsin, arcos

Rewriting expressions in alternative form, uses of alternative form

Worksheets and notes to aid teaching of C1 Factorising Quadratics

Factor and Remainder Theorem; Algebraic Division Worksheets to aid the teaching of algebraic division, and factor and remainder theorems

This is an activity leading the students through a proof of a lovely result using the Factor Formulae. Perfect for A-level Further Maths students.

A simple geometric proof for the sin and cos double angle identities using a circle theorem.

An activity that uses integration by substitution to prove the laws of logarithms. With solutions.

This resource is a worksheet in which the students explore the links between matrices and trig identities.

Horizontal and vertical components, components parallel to and perpendicular to a plane

Revision and using Partial Fractions

Revision of GCSE indices, extension to AS level work

Sketching polar curves, identifying polar curves

With brief solutions