Lesson Plan: Volumes of Pyramids Mathematics • Second 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 pyramid and solve problems including real-life situations.
Objectives
Students will be able to
- recall the formula for the volume of a pyramid,
- find the volume of a pyramid with known side lengths (where the height of the pyramid can be calculated) when the pyramid base is one of the following:
- a triangle,
- a quadrilateral,
- a regular polygon with more than 4 sides (pentagon, hexagon, etc.),
- an arbitrary polygon with a given area,
- calculate a missing length of a pyramid when given its volume,
- use knowledge of the volume of a pyramid to solve problems presented as real-life systems.
Prerequisites
Students should already be familiar with
- the slant height and the perpendicular height of a pyramid,
- right pyramids,
- the Pythagorean theorem,
- trigonometry,
- finding the area of an n-sided regular polygon.
Exclusions
Students will not cover
- cones,
- the surface area of a pyramid.