Lesson Plan: Volumes of Solids of Revolution Mathematics • Third Year of Secondary School
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the volume of a solid generated by revolving a region around either a horizontal or a vertical line using integration.
Objectives
Students will be able to
- recall the formula used to find the volume of a solid generated by revolving a region bounded by curves about a horizontal or vertical axis,
- find the integral used to calculate the volume of a solid generated by revolving a region bounded by given curves about a horizontal or vertical axis,
- find the volume of a solid formed by rotating a region bounded by curves using integration.
Prerequisites
Students should already be familiar with
- definite integrals,
- integrating polynomial, trigonometric, exponential, radical, and rational functions,
- integration by substitution,
- integration by parts.
Exclusions
Students will not cover
- finding volumes of solids of revolution using the shell method.
