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Lesson Plan: Antiderivatives Mathematics • Second Year of Secondary School
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.
