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

In this section you will be able to explore: * The challenges and issues faced in post-16 mathematics education. *The research underpinning the approaches adopted by the Standards Unit to meet the challenges. *The experiences of the teachers and trainers in the pilot.

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 resource, from the Royal Institution, provides a series of activities which draw together a range of areas of mathematics and its applications, as well as considering how and why soap bubbles can provide the answers to some seemingly unrelated questions. Students design and test motorway networks connecting...

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.

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...

This activity, from the Institution of Engineering and Technology (IET), allows students to develop understanding of two conceptual approaches to environmental issues - the linear economy and the circular economy - in the context of the design and operation of a new...