In this DfE Standards Unit resource, students find the stationary points of a function and determine their nature and solve appropriate equations in order to find the intercepts of a
function. Students are encouraged to connect the mathematical properties of a function and relate them to the graph. Before...

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 resource from the DfE Standards Unit, students find the stationary points of a cubic function, determine the nature of these stationary points and to discuss and understand these processes.Students should have some knowledge of differentiation of polynomials, finding stationary points of a quadratic...

This series of Democs resources are produced by the new economics foundation (nef). GM Food is an acitivity that encourages students to discuss and understand the issues around genetically modified foods. The materials contain teacher guidance, student activity sheets and information sheets.

The activities...

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...

From Practical Action, this resource encourages students to look at how design specifications are balanced when developing new products.

In this DfE Standards Unit resource, students identify different forms and properties
of quadratic functions, connect quadratic functions...

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 practise differentiating quadratic functions and finding the values of a function and its derivative at specific points. They will distinguish between f (x) and f ′(x), relate values of f (x) and f ′(x) to the graph of y = f (x) and reflect on and discuss these...

Produced by the new economics foundation (nef), this resource contains activities that help students to discuss and understand issues around medical ethics. The materials contain teacher guidance, student information and a range of activities that promote discussion and debate.

Medicine, Ethics and Me is a...

In this resource, from the Department fof Education Standards Unit, students learn to distinguish, by drawing and by using the order of the vertices, between Eulerian graphs, semi-Eulerian graphs and graphs that are neither; and to find strategies for solving the route inspection or ‘Chinese postman’ problem....

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...