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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...

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...

Milk of Magnesia Extemporaneous Preparation

This activity, from the Royal Society of Chemistry, involves the preparation of milk of magnesia used as a treatment for indigestion. It is an example of an inorganic compound which can be used as a medicine and is an alternative to the more traditional preparation of inorganic salts such as copper (II) sulphate....

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...

Lunar Math

This series of activities from NASA take a mathematical approach to looking at Lunar exploration. They are intended as supplementary problems for students looking for additional challenges in mathematics and physical science from age 11 to 19 years.

The problems were created to be authentic glimpses of...

Image Scale Math

This series of activities from NASA take a mathematical approach to looking at image scaling, which is an important first step that all astronomers perform when looking at image data. They are intended as supplementary problems for students looking for additional challenges in mathematics and physical science from...

Hydroponics

This practical activity outlines how to grow plants hydroponically in the classroom. It aims to give students an understanding of the basic growth needs of plants. It also shows how hydroponics can be utilised to provide food to humans as our population expands.

This technique can be expanded in a number of...

Gold Award: Squeaky Clean

These materials look at three possible projects that relate to the environmental impact of domestic cleaning products:

* Communications project - students gather information to explain how cleaning products can be harmful to the environment and recommend good practice that will help protect the environment...

Flows

The network flow problem involves finding the optimum route through a flow network; a directed graph where each arc has a capacity and each arc receives a flow. Typical examples include: evacuation plans and delivery services. The problem involves students analysing the plan of a school canteen and deciding whether...

F=ma in a Lift

This activity is produced by the Maths Magic project. F=ma in a Lift provides examples and ideas for A-level mathematics and physics students investigating what happens when they are being weighed in a lift and to have a discussion about mass and weight and the difference between the two quantities. Ideally...