Extension on Sample Space Diagrams that generalises the class “sum of two spinners” setup to spinners with n numbers on each. Answers provided.

An extension task that guides students through sketching quadratic graphs using completing the square, ending with the case for general a, b and c where “a” can be positive or negative. Answers provided.

Worksheet that guides students through the (now standard A level maths) proof that root 2 is irrational. Also included is a generalisation to root c, where c is non-square.

Extension tasks on indices. Answers provided.

Worksheet guiding students through spider diagrams which demonstrate solutions to iterations. Answers provided.

Scaffolded, fill-in-the-boxes worksheet on both simultaneous equations and trigonometry. Good as revision and for use under a visualiser.

Scaffolded, fill-in-the-boxes worksheet on surds. Good for use under a visualiser.

Scaffolded, fill-in-the-boxes worksheet on finding midpoints and distances between 2D co-ordinates. Good for use under a visualiser.

Scaffolded, fill-in-the-boxes worksheet on expanding quadratics. Good for use under a visualiser.

Extension task which guides students through the derivation of the pi x r x l formula for the curved surface area of a cone. Answers provided.

Great as an extension or end-of-year lesson for a bright set. Three investigations on iterating averages on a set of numbers, ideas of dividing by zero and working with logic gates.

A classic transformations extension that combines different transformations and asks students to evaluate the results. Answers provided.

A creative extension for the topic of Histograms, which brighter students can often find quite boring. Asks students to think about what one might look like in higher dimensions!

I owe this one to my teacher training mentor that introduced me to the dice game Greed. Brilliant game which kids love playing, then this worksheet follows on by guiding students through the calculations of probabilities involved. Good for an extension lesson after a sequence of lessons on probability. Answers provided.

Worksheet that guides students through the derivation of index-law properties of e^x from the MacClaurin series. Answers provided.

Powerpoint suitable for the start of a review lesson on surds, exposing misconceptions. Good with mini white boards and hands up for true/false to stimulate discussion.

Worksheet that gets students to derive the process of finding the nth term of linear sequences. Answers provided.

A full lesson on finding limits of sequences, with starter, powerpoint and higher/foundation worksheets. Great as an extension lesson for a bright GCSE set that’s flying through the syllabus or for anyone who wants a taste of university-style maths.

Starter and worksheet on SUVAT Equations, including derivation of formulae. Answers provided.

Starter and main worksheet on working with density, mass and volume. Includes unit conversions, working with the formula triangle and calculations to find missing mass, density and volume. The starter can take the form of a class discussion to deepen understanding of the density formula. An extension at the end of the worksheet involves the calculations of volumes and working with missing lengths. Answers provided.