Full lesson on data collection (used for an observation) comprising: starter to be discussed on what makes a good survey question and collection method, collection worksheet (to be circulated) for groups to decide on their question and how to collect the data, and peer-assessment form for adjacent groups to mark work.

A group activity using recipe-type proportion questions to work out costings for a dinner party. Great for a fun lesson on proportion. Promotes independent learning with real-life applications and an extension is provided.

Fully differentiated lesson-in-a-sheet on calculating the mode, mean, median and range from discrete data, beginning with a procedure match-up before calculations. An extension task invites students to explore a recursive process involving the median, mean and range. Answers provided.

Extension task on velocity time graphs. Reasoning skills are tested using the calculation of acceleration as the gradient and distance as the area under the graph. Suitable as stretch for high-attaining students. 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.

Differentiated review worksheet on Pythagoras’ Theorem covering basic skills (finding missing lengths in triangles) through to extension questions which involve working between multiple triangles. Answers provided.

Match-up task drawing lines between 3D shapes and their names. Best for use under a visualiser.

Full lesson with starter, powerpoint and worksheet on the university-level topic of Countability. Great for an extension lesson with a bright set that is motoring through the GCSE syllabus.

Probability Trees Extension, including the classic “Hannah’s Sweets” question from Edexcel GCSE. Answers provided.

An extension worksheet guiding students through calculations involving modular arithmetic. 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.

Spot-the-mistakes activity on direct and inverse proportion. Great as a class discussion.

Match-up task, suitable as a lesson starter, deriving the procedure for solving a simultaneous equation by elimination. Best for use under a visualiser.

A level worksheet on sums of series, consisting of a mixture of exam-style questions and match-up tasks.

Lesson starter on perimeters of sectors and segments. Best for use under a visualiser.

A simple two-player game on compound interest using a coin to flip for choices of initial investment, interest rate and number of years. The player with the the greatest amount of money wins a point for that turn and the one with the greatest tally at the end wins!

Two investigations on relative frequency, one easier one involving a class survey, the other related to average temperatures.

Some more interesting / trickier questions using proof by induction. Answers to questions 4 and 6 provided which require much more work!