Lesson Plan: Area between a Curve and a Line Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to apply integration to find the area between the curve of a function and a horizontal or vertical straight line.
Objectives
Students will be able to
- use definite integrals to find the area between the curve of a given function and any horizontal line of the form ,
- use definite integrals to find the area between the curve of a given function and any vertical line of the form ,
- use definite integrals to find the area between the curve of a given function and a line, where the area is represented graphically.
Prerequisites
Students should already be familiar with
- definite integrals.
Exclusions
Students will not cover
- the area between a curve and a line that is not vertical or horizontal,
- the area between two curves,
- improper integrals.
