Similar Solids and Proportional Reasoning

This Similar Solids and Proportional Reasoning lesson plan also includes:

Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral areas and volumes and compare them to the ratios of the radii, slant heights, and heights.

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Instructional Ideas

  • Have the class investigate if the same ratios that occurred with the prisms also occur with other similar solids
Classroom Considerations

  • The class should know how to calculate surface area and volume
  • Class members need to be comfortable working with ratios
Pros

  • Includes an extension activity based upon Gulliver's Travels
  • Contains suggestions for differentiation for those that struggle
Cons

  • Both activity sheets reference the incorrect number for one of the problems
  • Includes an activity that does not belong with the lesson