Exploring the Exponential Function

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Exponential Functions

Level

9-12

Activity Time

90 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Transformation Graphing for TI-83 Plus and TI-84 Plus

Other Materials

This is Activity 6 from the EXPLORATIONS Book:
Exploring Mathematics with the Transformation Graphing Application.

Resource Types

Lessons

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Exploring the Exponential Function

Activity Overview

Students study the exponential function and differentiate between exponential growth or decay from an equation. They identify the coefficient in an equation that represents the rate of growth/decay. Students also explain the effect of changes in the values of A and B.

Before the Activity

Install the Transformation Graphing application on the students' graphing calculators using one of these two methods:

TI-Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable

TI-Navigator™ 'send to class' feature

See the attached PDF file for detailed instructions for this activity

Print pages 73 - 83 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

Follow the activity procedures:

Enter an exponential function AB^x in the calculator and set the values of the coefficients to 1

Observe the graph

Change the value of A and observe the effects on the y-intercept

Set A=1 and increase the value of B

Observe that B controls the rate at which the function grows

Explore how money deposited in a bank earning interest shows exponential growth

Examine how the cooling curve, as a cup of hot chocolate cools, represents exponential decay

Observe that the exponential equation is asymptotic to zero

Study various graphs, determine whether they are growing or decaying, and find the values of A and B

After the Activity

Students will complete the Student Worksheet and answer questions.

Review student results

As a class, discuss questions that appeared to be more challenging

Re-teach concepts as necessary

Download Files

Download All Files (ZIP)

Before the Activity Files

Teacher Notes Appendix A PDF Teacher Notes Appendix B PDF Teacher Notes PDF

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Exponential Functions

Level

9-12

Activity Time

90 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Transformation Graphing for TI-83 Plus and TI-84 Plus

Other Materials

This is Activity 6 from the EXPLORATIONS Book:
Exploring Mathematics with the Transformation Graphing Application.

Resource Types

Lessons

Report an Issue

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Exploring the Exponential Function

Transformation Graphing for TI-83 Plus and TI-84 Plus

Exploring the Exponential Function

Before the Activity Files

Transformation Graphing for TI-83 Plus and TI-84 Plus

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