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The coordinates of the vertices of a tetrahedron is given. The challenge is to work out the volume of the tetrahedron. This involves calculating the area of the base,...

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

Wallpaper patterns all have one thing in common; they are all produced by repeating a single fundamental tile by translation, that one basic rule gives rise to a range of possible patterns, each with their distinctive...

This brief activity uses false-colour images of the Columbia glacier to introduce the idea of using sequences of satellite images to monitor change and focuses on the selection of appropriate data for an investigation.

This resource from the IET Faraday programme, supported by MEI and Tomorrow's Engineers, looks at the trigonometry and scale drawing involved in the construction of water wheels.

"A water wheel is a machine for converting the energy of flowing or falling water into useful forms of...

In this resource students are given an image of a reciprocal curve, y=k/x. Two tangents to the curve are used, together with the coordinate axes, to form an 'arrow head' quadrilateral under the curve. The challenge is to determine the area of the quadrilateral.

The first step towards solving the problem...

This resource from the IET Faraday programme, supported by MEI and Tomorrow's Engineers, asks students to use Pythagoras' Theorem and geometric constructions to find the optimal place for a water well.

"In a large semi-desert area, three small villages are to share a new well....

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

This presentation provides students with an opportunity to explore their own grasp of logic and introduces a logical tautology called Modus Tollens.

This activity is designed to explore aspects of the subject which...

This short activity introduces students to the ideas of the footprint and resolution of an image, asking them to choose and use appropriate methods to calculate how these quantities would change as they moved a camera to a series of vantage points above the surface of the Earth

The Nuffield Foundation provide this resource which can be used to introduce the idea of representing objects using plans and elevations. Students will have the opportunity to identify everyday objects photographed from plan and elevation views, draw 3D sketches of solids from their plan and elevation views, as...

This activity can be used to explore the relationship between shape and hydrodynamics (resistance).

Curriculum links include aerodynamics, resistance, forces, buoyancy and thrust. There are a number of useful links to...

A function is defined so that f(xy) = f(x) + f(y) for all positive integers x and y. Students are given the value of f(10) and (40) and are challenged to determine the value of f(500).

In each student worksheet contains different values for f(10) and f(40) but for...

A triangle is shown divided into two regions by a straight line, resulting in the triangle being split into a smaller triangle and a cyclic quadrilateral. A task is set to determine the ratio of an angle and an opposite side. In each of the numerical examples given the answer to 6 significant figures is 14.

...

In this activity students take on the role of Earth observation scientists submitting a request for an image they would like for their research. This gives them the opportunity to consider the possibilities of pictures taken from orbit (and the limitations) and to write scientifically for a specific audience. It...

In this activity students take on the role of Earth observation scientists submitting a request for an image they would like for their research. This gives them the opportunity to consider the possibilities of pictures taken from orbit (and the limitations) and to write scientifically for a specific audience. It...

This Core Maths task explores how standardised scores can be used to make comparisons.

The materials include a list of pupils and their marks in different subjects. They also contain the mean and standard deviation scores for each subject. By standardising the scores the...

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