Lesson Plan: Increasing and Decreasing Intervals of a Function Using Derivatives | Nagwa Lesson Plan: Increasing and Decreasing Intervals of a Function Using Derivatives | Nagwa

Lesson Plan: Increasing and Decreasing Intervals of a Function Using Derivatives 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 determine the increasing and decreasing intervals of functions using the first derivative of a function.

Objectives

Students will be able to

  • formally define an increasing and decreasing interval of a function,
  • determine the increasing and/or decreasing intervals for given function using the first derivative.

Prerequisites

Students should already be familiar with

  • differentiation (including the chain, product, and quotient rules),
  • finding first derivatives,
  • increasing and decreasing functions,
  • the concept of continuity (not necessarily the formal definition).

Exclusions

Students will not cover

  • second derivatives,
  • concavity,
  • classifying critical points as local minima, maxima, or inflection points,
  • graphical questions that do not require differentiation,
  • stating whether a function is increasing or decreasing at a point.

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