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Lesson Plan: Volumes by Slicing Mathematics
This lesson plan includes the objectives and prerequisites of the lesson teaching students how to use integration to find the volume of a solid with a variable cross section.
Objectives
Students will be able to
- find a formula for the area of a cross section of a solid,
- calculate the volume of a solid by integrating the formula for the area of the cross section over the interval defined by its base.
Prerequisites
Students should already be familiar with
- equations of circles and ellipses,
- integration of polynomial functions,
- volumes of solids of revolution.
