Education Technology

Rational Functions

Subject Area
Math: Precalculus: Polynomial, Power, and Rational Functions
Level
9-12
Activity Time
50 Minutes
Software
TI-Nspire™ CX
TI-Nspire™ CX CAS
TI Calculator
TI-Nspire CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
5.4
Resource Types
Lessons
Format
TNS

Rational Functions

Activity Overview

In this activity, students will discover, or re-discover, the connection between a rational function, transformations, and both vertical and horizontal asymptotes. 

Objectives

  • Students will explore the relationship between rational functions and both vertical and horizontal asymptotes. They will examine these relationships graphically and algebraically.
  • Students will be asked to create sliders on the handheld to help in their exploration and discussions.
  • Students will try to make a connection with how to understand these topics in IB Mathematics courses and on their final assessments.

Vocabulary

  • Sliders
  • Vertical Asymptotes
  • Input
  • Output
  • Horizontal Asymptotes

About the Lesson

Students will create a TI-Nspire file to dynamically examine the rational functions generated by quotients of linear functions.

*Note: This activity includes optional IB support, including the IB Questions download for students who are preparing for the IB Exam. 

Subject Area
Math: Precalculus: Polynomial, Power, and Rational Functions
Level
9-12
Activity Time
50 Minutes
Software
TI-Nspire™ CX
TI-Nspire™ CX CAS
TI Calculator
TI-Nspire CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
5.4
Resource Types
Lessons
Format
TNS
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