In this resource from the DfE Standards Unit, students will identify perpendicular gradients and lines that are perpendicular, learn to relate their learning about perpendicular lines to their previous learning about straight lines and explain the reasons why lines are parallel and perpendicular. Students should...

This resource from Jonny Griffiths contains a range of puzzles designed for 14 to 17 year old maths students. In each puzzle, the digits one to six have been rubbed out and replaced with six squares labelled a to f. The task is to put the digits back in again correctly to make each statement true...

In this resource from the DfE Standards Unit, students explore trigonometrical graphs by recognising translations, stretches and reflections from their equations, sketching the graphs and learning about the period and amplitude. Students should be familiar with the graphs of y = sin x and y = cos x and have...

In this resource from the DfE Standards Unit, students learn to associate x-intercepts with finding values of x such that f (x) = 0, sketch graphs of cubic functions, find linear factors of cubic functions and develop efficient strategies when factorising cubic functions. Students should have some familiarity with...

In this DfE Standards Unit resource, students interpret linear and non-linear distance-time graphs using the computer programme Traffic. This program provides a simple yet powerful way of helping learners to visualise distance–time graphs from first principles. The program generates situations involving...

In this resource from the DfE Standards Unit, students interpret frequency graphs, cumulative frequency graphs, and box and whisker plots, all for large samples, and then see how a large number of data points can result in the graph being approximated by a continuous distribution (GCSE Grades A - D)

In this DfE Standards Unit resource, students learn to understand the relationship between graphical, algebraic and tabular representations of functions, the nature of proportional, linear, quadratic and inverse functions and doubling and squaring. Students should already be familiar with algebraic symbols such as...

In this resource from the DfE Standards Unit students identify equivalent surds and develop their ability to simplify expressions involving surds. Students should understand what a square root is and be able to remove brackets correctly. (GCSE grades A-D; AS and A2 level)

In this resource from the DfE Standards Unit, students analyse simple number 'tricks', and explain how they work, using algebra. They then try to create their own variants of the trick, making it more impressive. Students will: develop an understanding of linear expressions and equations; make simple conjectures...

This activity booklet uses the real life context of air traffic control using radar signals to identify the position of an aeroplane that students act out. It provides them with an opportunity to use their knowledge of waves and speed = distance / time to calibrate and calculate the distance a plane is from the...

A useful handbook for setting up a student-led STEM club, with exemplars from three schools.

It is increasingly recognised that giving students opportunities to act as ambassadors and mentors for STEM subjects outside of school can be of great benefit to the individual, their institution, and to the broader...

In this resource from the DfE Standards Unit students are introduced to fractional and negative indices to enable them to evaluate numerical expressions using negative and fractional
indices and use the rules of indices with integer and fractional powers of variables. Students should have some knowledge of...