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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