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 worksheet, from the Institution of Engineering and Technology (IET), introduces students to the wave equation, giving them an understanding of some of the vocabulary and concepts used. Students use the formula: velocity (wave) = frequency x wavelength to answer the questions on the worksheet.

The...

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...

The Nuffield Mathematics Project Weaving Guides are single-concept books which give detailed instructions or information about a particular subject.

The first two guides are concerned with the advent of calculators and computers and how they might be used to develop mathematical concepts.

The use...

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 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 self-study booklet from the National Strategies is on the topic of fractions, ratio and proportion. It was originally written to support and develop the subject knowledge of teachers in Key Stages Two and Three. The 2000 National Curriculum gave greater emphasis to this topic, particularly ratio and proportion...

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.

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...