A step-by-step worksheet to go through the process of diagonalising using eigenvectors

This is a matching activity designed to bring out the general points about how the features of reciprocal curves correspond to those of the original curve. I would use it either in the context of lessons on curve-sketching or as an introduction to sketching the reciprocal trig curves

This is a short investigation using graphing software to investigate how the gradient of exponential graphs y=a^x, a>1 changes with y. By establishing direct proportionality it then allows for e to be introduced as the value for which the constant of proportionality is 1.

This is designed as a Year 12 (or Year 11) revision or consolidation activity, looking at all the different ways that we can find the turning point of a quadratic

This is a lovely integration result involving algebraic division and inverse trig functions, perfect for your A-level Further Maths students.

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

A selection of questions about objects in lifts, with solutions

An activity to develop the students skills at curve sketching, using inverse trig functions

An interesting way to practise basic complex number arithmetic with a look at generating the Mandelbrot set.

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.

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

A matching activity to make connections

This is a revision activity to practise forming and solving quadratics and rationalising surds within an interesting context.

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

This is a set of pictorial problems to accompany the teaching of the natural number series. The three different versions are the same but formatted differently.