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Centre for Research in Mathematics Education (CRME)
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Designing a 3D product in 2D: A sports bag
This problem solving lesson is intended to help you assess how well students are able to:
- Recognize and use common 2D representations of 3D objects
- Identify and use the appropriate formula for finding the circumference of a circle
The initial problem to solve is calculating the area of material needed to make a ‘tote bag’ in the shape of a cuboid. The idea of a ‘seam allowance’ is introduced and initial answers are revised. There is then a discussion about how to arrange the pattern pieces so as to reduce the amount of waste.
The main problem begins by showing a cylindrical sports bag and students calculating the area of material required. Students must calculate the area of material needed, including the seam allowance. They must then show how best to arrange the pattern pieces to reduce the amount of waste.
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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