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Centre for Research in Mathematics Education (CRME)
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Drawing to scale: a garden
This is a problem solving lesson, designed to help you assess how well students are able to:
- Interpret and use scale drawings
- Use proportional reasoning
- Work with metric units
The initial problem is to construct and conversion graph to convert between measurements in the garden and the plan of the garden. The idea of a ‘double-ruler’ is also introduced as an alternative to the conversion graph.
Students then take on the role of garden designer. They must work within four constrains that involve placing a garden shed, a circular pond, some decking to seat six people, and a path with border than has constraints relating to the size and proximity to other items.
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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