Activity Detail

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Exponential Growth
 


Activity Overview

The main objective of the activity is to find an approximation for the value of the mathematical constant e and to apply it to exponential growth and decay problems. To accomplish this, students are asked to search for the base, b, that defines a function f(x)=bx with the property that at any point on the graph, the slope of the tangent line is equal to f(x). The result is approximating the value of e - Euler's number and the base of the natural logarithms.

Before the Activity

Download the attached PDF and look over the information on the first two pages. Download and distribute the attached .tns file and Student Worksheet for use during the activity.

During the Activity

Discuss the material from the activity pages and worksheet with students as needed.

After the Activity

Encourage students to summarize what they have learned from completing the activity.

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Subject Area:
Math : College Algebra : Exponential and Logarithmic Functions
Math : Algebra II : Exponential Functions

Author:
Texas Instruments

Level:
9-12

Activity Time:
45 Minutes

Device:
TI-Nspire™ CAS, TI-Nspire™

Apps:
 

Software:
TI-Nspire™, TI-Nspire™ CAS

Accessories:
 

Other:
 

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