Activity Overview
In this activity, students will explore two functions which are inverses of each other. They also explore their characteristics and understand how they reverse each other's operation.
Before the Activity
Connect the calculator to the CBR 2™
Install the TI Connect™ software to analyze data on the computer
See the attached PDF file for detailed instructions for this activity
Print pages 5 - 9 from the attached PDF file for your class
During the Activity
Distribute the pages to your class.
Follow the Activity procedures:
Run the Ranger program
Attach the plate to the spring and hang the spring from a ring stand
Position the CBR face up under the plate
Record the distance between the CBR and the plate
Add 5 pennies to the plate and measure the distance between the plate and the CBR
Repeat the above step until a total of 20 pennies have been added to the plate
Record the distance data and convert from meters to centimeters
Create a scatter plot using number of pennies versus distance data
Find the linear regression of the line and identify its slope and y-intercept
Plot the graph of the distance to the plate versus the number of pennies
Find the linear regression of the line, identify its slope and y-intercept
Compare the x- and y-intercept values for the two lines and determine the pattern between any function and its inverse
After the Activity
Students will complete the Data Collection table and answer questions listed in it.
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary