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Children will work with hypothetical data to help them understand how mathematics can model real life situations.  This will enable them to reflect on how mathematics might be used to help scientists make predictions about the possible impact of climate change in the Polar regions. They will also use real data on...

From the Nuffield Foundation, this module develops the use of co-ordinates in two and three dimensions using traditional games. It digresses into the simple use of matrices as information stores and finally, extending the work on ‘battleships’ into equations of lines...

In this Nuffield investigation these resources from AMP, co-funded by the Clothworkers and Nuffield Foundation, students investigate how many positive integers are less than and co-prime to any given positive integer. This activity requires some confidence with the co-...

The Nuffield Foundation provides this resource which shows students how, given a set of measurements along an irregular coastline, it is possible to approximate the area of land which is lost to coastal erosion over a period of time. Coastal erosion A - this activity uses the context of coastal erosion to introduce...

This Royal Academy of Engineering resource teaches students coding through a series of physical computing and practical activities that explore the essential role engineers have in supporting the emergency services and search and rescue missions.

Combining plugged activities, using a Crumble Controller, and...


The ability to communicate ideas clearly is a very important skill for a mathematician to have.

Learning outcomes

  • Students could be able to construct and interpret an appropriate graph table, chart or diagram from given data; will have clearly explained what their data...

This resource develops the concept of interpreting speed as the slope of a linear graph. There is also work on translating between the equation of a line and its graphical representation.

Students consider a graph drawn to model the flow between two identical right rectangular prisms. There are subsequent...

This lesson develops the concept of direct proportion and its application to problems. The works addresses the following problems that students might have:

  • Use of inappropriate additive strategies in scaling problems.
  • Inefficient strategies such as not using a single multiplier for solving...

This is a problem solving lesson, designed to help you assess how well students are able to:

  • Interpret a situation and represent the variables mathematically
  • Interpret and evaluate the data generated and identify the break-even point

The problem is set in the context of the cost...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows how compound interest can be calculated over different intervals. As the intervals get smaller and smaller, the total value approaches a limit. Topic areas covered are:
• Use of...

These guides from the Nuffield Mathematics Project follow on from the Beginnings guide. They deal mainly with number but also cover weights and measures. In Computation and structure 2, the concept of number is further developed. A section on the history of natural numbers and weights and measures...

Published by the Mathematics Centre at the University of Chichester, this booklet describes ideas that have been used with students aged 9-11 , although there are indications that older students would benefit from them too. In the first part of the booklet much use is...

This booklet, from the Mathematics Centre at the University of Chichester, explores how the microcomputer can be a valuable tool when engaged in investigating a situation that leads to such laborious arithmetic that the 'sums' spoil the activity, especially in the...

Computers and young children, written in 1970 for the Nuffield Mathematics Project, took the stance that the computer was 'the most important scientific advancement' at the time; and that the explosively expanding effect of computers on so many aspects of our lives made it important that all members of our...

Mathematics plays a vital part in space flight, it gives us a way both to predict what should happen in the future and also ways to measure what’s actually happening in the present, and adapt to it. In this resource we look at a few places where maths helps in space flight. The maths is made simple here (it’s far,...

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