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This The Volume Formula of a Pyramid and Cone lesson plan also includes:
- Extending to Three Dimensions - Module Overview (PDF)
- Extending to Three Dimensions - Module Overview (Doc)
- The Volume Formula of a Pyramid and Cone (Doc)
- The Volume Formula of a Pyramid and Cone (PDF)
- The Volume Formula of a Pyramid and Cone (Doc)
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- Answer Key
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Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from previous lessons to verify the formula and to show that it works for the general cone.
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Instructional Ideas
- To remind the class of the formula for a pyramid or cone, use the the demonstration that shows it takes three cones of water to fill a cylinder with the same base and height
Classroom Considerations
- The hands-on section in the opening requires the use of six congruent pyramids for each group or individual
- The purpose of the lesson is not what the formula is but why the formula has a one-third
- The eleventh installment in a 14-part series
Pros
- Exercises require the application of the volume formula
- Includes scaffolding suggestions for dividing the class into small groups for discussions
Cons
- None