A matching activity in which students compare the two different forms on the definition of a sequence, deductive (nth term formula) and inductive (recurrence/recursive formula)

This is a set of “always true, sometimes true, never true” discussion cards to deepen understanding of moments. They are based on a resource from the excellent STEM learning site but adapted.

Coefficient of friction, limiting equilibrium

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

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

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

Hexagonal jigsaw for exponents. The three pages make up one jigsaw.

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

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

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…

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 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.

Vector cross-product, application to area of triangle.

With brief solutions

Centroids, centers of gravity, centers of mass, equilibrium, suspension, inclined plane. Students need a background in Physics

Determinants and inverses of 2 by 2

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

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

A selection of questions about objects in lifts, with solutions

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