This engineering resource, produced by Mathematics in Education and Industry (MEI) for the Royal Academy of Engineering, asks the question: how can you calculate the energy used, or made available, when the volume of a gas is changed? A bicycle pump, a refrigerator and the internal combustion engine change the...

The Nuffield Foundation provide this activity which uses graphical methods to find a suitable model to connect two sets of data. There are a variety of ways in which the data could be used, depending on the focus required. It is possible to use a log graph to find an exponential model, which is the intended focus...

This toolkit explores the concept of gender pay gaps, considering how and why they are measured. Students can use the Gender pay gap explorer tool and data from the Annual Survey of Hours and Earnings (ASHE) dataset. This will allow them to see trends and patterns in the data.

The first of two RISP activities, Venn Diagrams explores lines in co-odinate geometry and quadratic functions...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students demonstrates that the efficiency of a river can be measured using the hydraulic radius; this depends on the cross-sectional area of the river and the wetted perimeter of the...

This Core Maths task explores the United Nations Millennium Development Goals (set in 2000).

The resource asks students to use data to consider if the UN millennium goal to reduce the under-five child mortality rate by two-thirds by the year 2015 has been realised.

The teacher guidance provides a...

Gloucester College is a large Further Education College with four campuses located in the Cotswolds. This case study is based on the experiences of staff and students at the Gloucester campus. In addition to A Levels and GCSEs, the College offers a range of vocational qualifications, basic skills courses and...

Situated in North Yorkshire, Harrogate Grammar School is a large state mixed comprehensive school, with sixth form provision, run by the Red Kite Learning Trust. The school has over 1800 pupils, with around 550 of these studying in sixth form. As well as being one of the first designated teaching schools in the...

This toolkit investigates the complexities of measuring health and well-being. Students can use the Health Index tool and access the raw data that is used to calculate it. This will allow them to analyse and interpret health and well-being trends and patterns within a local area or across different regions.

These problem solving Core Maths resources are suitable for small group work and discussion. The resource contains two modeling tasks which require the use of a spreadsheet.  The tasks are:

• Design a muesli and compare the costs...

This statistical investigation is based on the question: ‘Does the height of a tennis player affect the top speed of their service?’

Students need to decide what information is needed and how this can be obtained. Internet access is essential. This task involves data collection...

In this problem the learners, acting as a helicopter-rescue crew, are asked to rescue a casualty and get them to hospital. The teacher chooses the challenge level by setting the values of some variables. Students will represent and analyse a problem mathematically, interpret and communicate solutions. Use specific...

Published in July 2014, Mathematical transitions investigated the mathematical and statistical requirements of university degrees in Business and Management, Chemistry, Computing, Economics, Geography, and Psychology.

It found that over 80,000 students following these courses struggled to meet the...

In this activity students examine real-life data, identify skew, and investigate the relationship between mean, median and mode for distributions with varying skew.

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