What is energy efficiency?

Use mathematics to investigate the topical issue of the cost and efficient use of energy

This engaging activity for KS3 seeks to teach students how to use mathematics to investigate the topical issue of the cost and efficient use of energy. This is a thought-provoking exercise that will teach students to think about sustainability and develop their understanding of mathematical modelling.

In this activity students will investigate the topical issue of the cost and efficient use of energy. Using functional mathematics, they will recognise that published facts and figures are not necessarily accurate and that mathematical insight should be used to probe data.

As an optional extension activity, students could quantify how energy is used for heating within a dwelling. The quantification could be in terms of units of energy and/or cost. They could then find comparable data for one or more dwellings of different design, for example of different sizes, of radically different design (e.g. flats vs. detached houses), or dwellings designed to be eco-friendly. They should analyse the differences in energy performance identified.

This is a quick and simple activity that will take approximately 15 – 30 minutes to complete.

Tools/resources required
Projector/Whiteboard

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.

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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