Lesson Plan: Applications of Indefinite Integration Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use indefinite integration to express a function given its rate of change.

Objectives

Students will be able to

  • find the equation of a curve when given an equation for its gradient and a boundary condition (a point that lies on the curve),
  • solve problems involving the the local minima and maxima of a curve given an equation for its gradient,
  • understand how functions, rates of change, and extrema can relate to real-life systems.

Prerequisites

Students should already be familiar with

  • indefinite integration,
  • boundary conditions of indefinite integration,
  • local minima and maxima.

Exclusions

Students will not cover

  • definite integration,
  • integration by parts.

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