Lesson Plan: Area between a Curve and a Line | Nagwa Lesson Plan: Area between a Curve and a Line | Nagwa

Lesson Plan: Area between a Curve and a Line Mathematics • Third Year of Secondary School

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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 𝑦=𝑎,
  • use definite integrals to find the area between the curve of a given function and any vertical line of the form 𝑥=𝑎,
  • 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.

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