Lesson Plan: Volumes of Spheres Mathematics • Second Year of Preparatory School
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find volumes of spheres and solve problems including real-life situations.
Objectives
Students will be able to
- recall the formula for the volume of a sphere,
- use the formula for the volume of a sphere to find the volume of a sphere given its radius (or diameter) and vice versa,
- understand the relationship between the great circle and a sphere and how to calculate the volume of a sphere given information about its great circle,
- find the volume of a hemisphere or of other fractions of a sphere,
- solve real-world problems involving volumes of spheres.
Prerequisites
Students should already be familiar with
- calculating areas and circumferences of circles and of fractions of circles,
- real numbers and operations on them.
Exclusions
Students will not cover
- surface areas, including those of spheres,
- volumes of cones.
