Lesson Plan: Antiderivatives Mathematics • 12th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the antiderivative of a function. The antiderivative of a function 𝑓(𝑥) is the function 𝐹(𝑥) where 𝐹′(𝑥) = 𝑓(𝑥).

Objectives

Students will be able to

  • recognize and use notation for antiderivatives,
  • understand that the antiderivative is the inverse of the derivative,
  • understand that there are an infinite number of antiderivatives to a given function, denoted by the addition of a constant, C,
  • find the general form for the antiderivatives of a function,
  • find a specific antiderivative of a function (defining the constant, C) when given sufficient boundary conditions.

Prerequisites

Students should already be familiar with

  • derivatives,
  • differentiation,
  • the rules of differentiation (product, quotient, chain, etc.).

Exclusions

Students will not cover

  • integration.

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