Students research required data, make estimates and perform calculations to come up with a realistic quote that a removal company may give to a client in the given scenario. Students also reflect on the process of mathematical modelling involved in the process, and the possible limitations of that process.

Overview of task

Students research required data, make estimates and perform calculations to come up with a realistic quote that a removal company may give to a client in the given scenario. Students also reflect on the process of mathematical modelling involved in the process, and the possible limitations of that process.

Strand

Number and Measures

Prior knowledge

This task should be readily accessible to Core Maths students. The only prerequisites are the abilities to estimate and perform simple calculations including volume, proportion and converting units (gallons and litres).

Relevance to Core Maths qualifications

•AQA

•C&G

•Eduqas

•Pearson / Edexcel

•OCR

Suggested approaches

Suitable for group work with opportunity for collaboration and discussion. This task provides a good opportunity to develop students’ skills in mathematical communication; you could encourage them to produce a thorough, clear and well-argued presentation explaining why their quote is reasonable, competitive and likely to produce a good profit. More sophisticated responses might include an identification of any risk factors (bad weather, traffic delays, etc.) and their possible impact; an appreciation of overheads such as premises rental and vehicle depreciation; and the ability to model changes in variable factors such as fuel costs.

Resources/documentation

The supplied PowerPoint presentation can be used to introduce the task to students. You may wish to adapt the task to your local situation – perhaps using your home town as the starting point or destination.

Relevant digital technologies

Internet access to look up the distance between Chippenham and Edinburgh and the price of fuel. If they don’t have internet access then students may estimate the distance using a map instead. The task is ideally suited to mathematical modelling with a spreadsheet.

Acknowledgement

Developed by Marta Zajac at Hardenhuish School.