A measuring cylinder is shown with divisions marked in millilitres. Water is poured at a constant rate into the cylinder. The challenge is to graph the volume of water against time. The resulting graph is linear.

Water volume video

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...

Due to problems in the manufacture of tinplate coils, the edge of the strip can be slightly longer than the centre. This causes a 'wave' on the wall of the coil but can be rectified by differentially stretching the strip to make the edges flat. Students are required to apply Pythagoras' theorem to find the radius...

A collection of thirty two mathematical games. The aim of each is for students to decide whether there is a winning strategy. [b]The games are[/b]: take the pegs, Tetromino chase, Solitaire, remove the cube, make it twenty-four, total 87, hedge me in, grab the last cross, sticks game, strategic darts, square chase...

A set of weighting scales is shown with a stack of cups on the scale. The cups are removed one by one in a fluid movement. The task is to graph the weight on the scales against time. 

Weight of cups video

A stack of cups is shown. Cups are added to the stack. Part way through a different style of cups is added, before the cups revert to the original style. The challenge is to graph the weight of the stack of cups against time.

Weight of stack 1 video

A stack of cups is shown. Cups are added to the stack. There is a variation in the rate at which cups are added. The challenge is to graph the weight of the stack of cups against time.

Weight of stack 2 video

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....

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

Using real data from CensusAtSchool 2000/2001, this resource explores issues around the disposal or recycling of the empty aluminium cans in schools. Students discuss the issue, calculate statistics, draw graphs and look further into what happens to empty cans in their own school. 

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 in-service kit published by the Mathematics Centre at the University of Chichester was compiled from experiences of the writers, gained when working at, reflecting on and discussing mathematics. It is presented here in draft form to be used by teachers working...

This full lesson plan, plus dataset and worksheet, from CensusAtSchool is designed to help students understand the different types of average, how to calculate and compare them and which average it is appropriate to use for a particular data set.

In this task students are required to estimate dimensions and use given densities to calculate an estimate for the mass of a number of objects. Calculators and/or spreadsheets are recommended when substituting into the formulae for the volume and mass of the solids.

The teachers' notes give a suggested...

The work that engineers do affects billions of people. It is creative and hands-on. It is about solving problems, designing things and improving things. As an engineer, you could tackle some of the world’s most pressing problems - from dealing with cyber security and maintaining clean water and energy supplies to...