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Linear Programming

Linear Programming involves creating a function that represents a real life problem. The aim is to optimise this function given certain constraints. Simple examples of linear programming will have few variables and constraints, however, real life situations will have many more variables and constraints that will...

Fractals

This resource, from the Maths Careers website, explores fractal geometry and was created in conjunction with More Maths Grads and the University of Leeds.

The activity involves making paper representations of fractals and gives the opportunity to investigate some of their mathematical properties.

The...

Critical Path Analysis

Critical path analysis is a project management technique and is used to lay out all of the activities which are needed to complete a task. Starting some activities will depend on completing others first, while independent activities can be started any time. Critical path analysis helps to predict the project...

Travelling Salesperson

The aim of a travelling salesperson problem is to visit every vertex of the network and return to the starting vertex using the route that has the minimum total weight. The problem requires students to find the best route for a courier to take to deliver parcels to a number of towns and return back to base.

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Route Inspection

The aim of the route inspection problem is to find a route that is as short as possible yet goes down every road once and returns to the starting point. The task informs students that there has been a heavy snowfall overnight and that the students are required to clear the roads in the town centre as quickly as...

Robot Arm Design

In this activity students design and model a robot arm in 2D, need to be able to name the main parts of a robot arm and to be able to design and make a 2D card model of a 3D product. Robot arms are an example of a programmable system. They are used in a wide variety of industrial applications, ranging from loading...

Plastic challenge

This resource contains a series of lessons which are designed to extend students’ knowledge and understanding of plastics and plastic waste on a global scale. Linking to materials and their properties, the environment, recycling and design and technology, they contain investigations and activities aimed at both...

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...

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...

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