Maths behind a heating system

This is a practical exercise in which students will utilise their mathematical knowledge to solve problems and apply formulas. Specifically, they will compute the length of pipes necessary for an underfloor heating system. They will also write a brief explanation of how a sustainable underfloor heating system operates.

This can be effectively taught within mathematics or within design and technology, as part of resistant materials or product design.

How long will this activity take?

This activity will take approximately 60-90 minutes to complete

Tools/resources required

Green School film
Projector/Whiteboard
Measuring equipment e.g. tape measures or trundle wheels
Squared paper

The engineering context

Sustainability is a key consideration in modern engineering practices. As the world faces pressing environmental challenges such as climate change and resource depletion, engineers must design solutions that not only meet the needs of society, but also minimise their impact on the planet.

Sustainable engineering involves developing systems, products and processes that are socially, economically, and environmentally responsible. This can include reducing carbon emissions, optimising energy use, minimising waste, conserving natural resources, and designing products that can be recycled or repurposed at the end of their lifecycle.

Suggested learning outcomes

By the end of this activity students will be able to describe the operation of a sustainable underfloor heating system and they will be able to create and apply mathematical formulae in a practical context.

Download the free Maths Behind a Heating System activity sheet!

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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