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Centre for Research in Mathematics Education (CRME)
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Sharing costs equitably: travelling to school
This is a problem solving lesson, designed to help you assess how well students are able to:
- Solve a real world modelling problem
- Apply proportional reasoning
The problem is set in the context of a journey to school. Here are the features of the problem:
- Each day Lara’s mom drives her to school
On the way, she picks up three of Lara’s friends, Chan, Jason and Marla - Each afternoon, she returns by the same route and drops them off at their homes
- There is a map that is drawn to scale
- It shows where each person lives and the route taken by Lara’s mom
The problem is: ‘how should the petrol costs be shared between the people in the car?’ After working on the problem there are examples of student work to peer assess.
This is a problem solving lesson from the Mathematics Assessment Resource Service, a collaboration between UC Berkeley and the Shell Centre team at the University of Nottingham. Further information on the collection is given here.
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