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Use data on energy consumption to investigate how average values are calculated

This scheme of work is designed to enable students to explore the relevant issues of energy cost and efficiency. Learners will use functional mathematics to understand that published facts and figures may not always be accurate, and that mathematical insights are necessary to scrutinise data.

In this engaging activity for KS3, students will analyse data related to electricity consumption, with a focus on how average values are determined. Students will also evaluate the accuracy of published data sources and consider potential biases. This resource would work well as a main lesson in maths.

This activity uses data for England. Students in Wales, Scotland, or Ireland may wish to research data for their areas.

To begin the activity, prompt students to create a list of the various types of housing that individuals reside in. Which type of house is likely to require the most energy?

Provide students with the Resource Sheet handout, which displays typical yearly electricity bills for different housing types. Students should collaborate in groups of 2-4 to review and analyse the data, and answer the questions included on the resource sheet.

Students should be encouraged to reflect on the meaning of this data rather than just accepting it at face value – can they find raw figures and do the calculations to support the information shown?

The engineering context

Energy efficiency refers to the use of less energy to perform a specific task or achieve a particular outcome. In other words, it is the ability to accomplish the same level of output using less energy input. Energy efficiency can be achieved through the use of more efficient technologies, equipment, or processes, as well as through changes in behaviour and practices. It is an important concept in the context of sustainable development, as it helps to reduce energy consumption and greenhouse gas emissions, conserve natural resources, and lower energy costs.

Examples of energy-efficient practices include using energy-saving light bulbs, improving building insulation, and upgrading to energy-efficient appliances.

Suggested learning outcomes

By the end of this activity students will understand that mathematics is used as a tool in a wide range of contexts, and they will be able to use mathematics to interpret the impact of energy costs on society.

All activity sheets and supporting resources are free to download, and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.

The activity sheet includes teacher notes, guidance, useful web links, and links (where appropriate) to the national curriculum in each of the four devolved UK nations; England, Northern Ireland, Scotland and Wales.

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