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)

Many of the most powerful magical effects performed today have a mathematical basis. Mathematics is also the secret behind the technologies people use, the products they buy and the jobs they will have. This book shows how to perform some magic tricks, explains the mathematics behind them and how that same...

This collection of posters are themed around ‘Manufacturing the Future’. The posters can be used to help inform students about the cutting-edge technologies and exciting careers available in UK manufacturing. Topics include: * Astrium - space engineering * True Snowboards - snowboard design and production *...

Carom Maths provides this resource for teachers and students of A Level mathematics.

In this presentation students are given a function and explore the mapping of natural numbers, as well as being challenged to find the inverse function. A link to the online encyclopaedia of integer sequences is provided for...

This film, from Twig World, looks at how the oceans can be mapped. Charting the waters around the Scottish island of Orkney was a pivotal moment in maritime mapping. But a reliance on outdated maps places modern ships in danger. The key points made in the film are: •Before mapping of the sea floor began, hazards...

This SMILE resource contains two packs of games, investigations, worksheets and practical activities supporting the teaching and learning of mappings, from simple arrow diagrams to working with composite functions.

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In order to understand the orbits of planets, comets and other celestial bodies, it is necessary to examine the principles of how gravity, and the velocity of an object, interact to produce an orbit. It is a common misconception among students that planetary orbits are circular. This practical activity gives a...

Act 1

An animation shows a floating raft in a marine that...

In this Core Maths activity students are drafted into a company’s marketing department for a day. Students have to make assumptions in order to decide how to budget £100,000 across the three forms of advertising available to them (TV, radio and billboards).

Marketing: Teacher Guidance
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A Markov chain is a mathematical system that undergoes transitions from one state to another, between a finite number of states.

This resource comprises a spreadsheet which allows students to enter values into the transition matrix and the initial state matrix of 2x2 and 3x3 matrices then perform a number of...

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...

This resource from the Nuffield Foundation provides a set of 24 cards which students use to match graphs with descriptions of the real situations they represent. The slideshow includes the same graphs with added titles and labels. This can be used in a class discussion about the shapes of the graphs, the variables...

This resource develops the concept of exploring variables in everyday situations. In addition, students work on finding unknown values from known values, finding relationships between pairs of unknowns, expressing relationships in the form of tables and graphs, and rearranging formulas. The central theme of the...

A matching is a set of edges on a bipartite graph in which no two edges share a common vertex. A bipartite graph consists of two sets of vertices X and Y. The edges only join vertices in X to vertices in Y. A matching in a bipartite graph is the pairing of some or all of the vertices in X with some or all of the...