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.

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.

This is a worksheet for students in the first year of A level Maths, to develop fluency in moving between different algebraic forms, and to relate algebraic and graphical representations

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.

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

Five methods for solving a trig equation graphically; which are correct and why?

Notes, activity and solutions for y=f(ax+b)

Examples and Questions

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

1 hour revision lesson including the following: Mathematical content - Differentiation (in particular, stationary points), integration, straight lines, curve sketching, hidden quadratics, surds, repeated roots,… Also - Problem-solving, using graphing software, conjecturing and generalisation, almost certainly a bit of proof…

A worksheet of 6 geometrical questions using complex numbers with solutions.

A selection of questions about objects in lifts, with solutions

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

A matching activity to make connections