Lesson Plan : Inverse Functions

Teacher Name:
 Mr. Cochran
Grade:
 Grade 9-10
Subject:
 Math

Topic:
 California Standard (24): Students solve problems involving functional concepts, such as composition, defining the inverse function and performing arithmetic operations on functions.
Content:
 Inverse Functions: Vocabulary Inverse relation - Inverse function -
Goals:
 Goal #1 - Find Inverse of linear functions. Goal #2 - Find Inverse of nonlinear functions.
Objectives:
 Have students be able to describe the steps for finding the inverse of a relation.
Materials:
 Overhead projector, graphing calculator, and Smart Board.
Introduction:
 Lesson Opener Activity. Using transparency 7-4 and have students match each composition of functions on the left with a simplified expression on the right to reveal something you might say while riding a roller coaster.
Development:
 Finding an Inverse Relation. Find an equation for the inverse of the relation y = 3x - 1. Using notetaking worksheet along with the Smart Board for student assistance.
Practice:
 Verifying Inverse Functions. Verify the inverse function of y = 3x - 1.
Accommodations:
 Use the graphing calculator to show inverse relationships.
Checking For Understanding:
 Use problems 1-3 of the student notetaking worksheet to allow checking for understanding inverse functions.
Closure:
 Question to students: Describe the steps for finding the inverse of a relation.
Evaluation:
 Day after the lesson. Homework quiz on inverse relations.
Teacher Reflections:
 Mr. Cochran and Mr. Smith will reflect on todays lesson.

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