Mathematics can provide justification for positioning a new highway.
The cost of building a village bypass cannot only be measured in financial terms. This case study challenges students to create an optimal route for a village bypass using either software or physical resources, considering social, environmental, work-related and financial issues. The pupils are challenged to design and present a plan conforming to the mathematical constraints of the Highway Agency.
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Key Stage 3 National Curriculum areas covered include:
This case study has been designed to develop pupils’ skills of thinking, reasoning and problem solving. It also provides opportunities for the use of either ICT or practical work, group discussion and communicating mathematical reasoning.
This case study supports four to six hour-long lessons of classroom activity with optional homework and is suitable for all pupils in Years 8 or 9. There are opportunities for a mixture of class, group and individual work. Pupils are encouraged to role-play in order to consider opinions from different ‘stakeholders’, make decisions and solve a real-world problem.
The case study can either use the facilities provided by an ICT suite or create designs using pinboard and curtain wire. The pupils are involved in thinking, discussing and making presentations of the mathematically-based content. There are curriculum opportunities to work with design and technology, geography, drama and English subject specialist lessons.