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Planarity

Many topological graphs have edges that cross. The aim is to re-draw the graph in such a way that none of the edges cross. The task informs students they are required to design a printed circuit board and since the wires are not insulated they must not cross.

Planarity: presentation - an...

Paper Sizes

In this Nuffield investigation students study paper sizes in the A and B international series, exploring relationships within each series and between the series.

The key processes are:

*Representing - identifying the mathematics involved in the task and developing appropriate representations.

*...

My Music

This activity provides the opportunity for students to analyse the similarities and differences between genres of popular music with particular focus on the variable measures of tempo. Students work in small groups and listen to different music tracks, measure the tempos and interpret and present the results....

More Miles for Your Money

Based on information and guides provided by the Department of Transport, this Cre8ate maths activity introduces the cost benefits of improving the aerodynamics of the cab section of a truck. Mathematical connections involve using calculators and spreadsheets to work on conversions and percentages in the context of...

Modelling a robot arm

In this activity students design and model a 3D robot arm. Robot arms are an example of a programmable system. They are used in a wide variety of industrial applications, ranging from loading machines to assembling cars, welding parts together and spray painting products. They are also used in applications such as...

Minimum Spanning Tree

The aim of a minimum spanning tree is to connect every vertex of the network using the edges having the least possible total weight. The task requires students to analyse information about a town centre and suggest which roads should be pedestrianized. [

Minimum spanning tree: presentation...

Mathematical Trickery

These resources, from the Maths Careers website, looks at the maths behind a variety of magic tricks and was created in conjunction with More Maths Grads and the University of Leeds. Tricks and ideas include those from Rob Eastaway, Johnny Ball and others.

The resource package includes a PowerPoint...

Matchings

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...

Keeping the Pizza Hot

This activity requires students to consider the problem of maximising the market available to a pizza shop through the ability to keep a home-delivered pizza warm for longer. Students use a mathematical model to explore the issue that a pizza home delivery business faces in ensuring that the pizza arrives hot! They...

Hide the Spies

This Nuffield activity is set in the context of a park. Students determine where spies should sit in the park that has a square grid of benches, interspersed by bushes, so that they cannot see each other. Students also investigate how many different arrangements of spies are possible.

The key processes...

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