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This Volume and Cavalieri’s Principle lesson plan also includes:
- Teacher Version (.docx)
- Student Version (.pdf)
- Student Version (.docx)
- Pre-Calculus Module 3: Teacher Materials (.pdf)
- Pre-Calculus Module 3: Student Materials (.pdf)
- Pre-Calculus Module 3: Copy Ready Materials (.pdf)
- Precalculus Module 3 (.html)
- Assessment
- Answer Key
- Join to access all included materials
Take a slice out of life. The ninth section in a series of 23 introduces classmates to Cavalieri's principle using cross sections of a cone and stacks of coins. Class members participate in a discussion using pyramids and how Cavalieri's principle verifies their volume formula. Pupils use the same principle to calculate the volume of a sphere and validate the formula.
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CCSS:
Designed
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Instructional Ideas
- Use rolls of coins to have the class calculate the volume of the roll by finding the volume of each coin as a way to visualize Cavalieri's principle
Classroom Considerations
- Requires individuals to be fluent with finding the area of circles
- Assumes the class is familiar with cross sections
Pros
- Provides graphics and links to the graphics to help visualize the figures
- Includes an answer key with detailed solutions
Cons
- None