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Centre for Research in Mathematics Education (CRME)
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Optimizing coverage: security cameras
This is a problem solving lesson, designed to help you assess how well students are able to:
- Construct lines of sight for the visibility of a camera
- Find and compare the areas of triangles and quadrilaterals
- Calculate and compare percentages and/or fractions of areas
The problem is set in the context of a shop owner wanting to install a security camera to prevent shoplifting. The camera can turn through 360 degrees. The initial task shows where the shop owner placed the camera. Students must work out the sight lines of the camera, and calculate the areas that can and can’t be seen, expressing the result as a percentages or a fraction.
The next activity gives students the choice of where they wish to place the camera. They must try to optimise the position to given the maximum possible coverage.
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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