# Activities

• • • ##### Subject Area

• Math: Algebra I: Exponential Functions

• ##### Author 9-12

60 Minutes

• ##### Software

TI InterActive!™

## Problem Solving: Exponential Growth and Decay : M&M's Activity

#### Activity Overview

In this activity, students use the TI InterActive!™ to model exponential growth and decay.

#### Before the Activity

• Install the TI InterActive!™ on the computer
• See the attached activity PDF file for detailed instructions for this activity
• Print pages 1 - 4 from the attached activity PDF file for the class
• #### During the Activity

Distribute the pages to the class.

• Place 4 M&Ms in a plastic cup
• Shake the cup and pour the M&Ms on the table
• Record the number of M&Ms which show the M mark
• Add a new M&M for each one with an M showing
• Using the new total of M&Ms each time, repeat the procedure 5 more times
• Record the data
• Prepare a Number of M&Ms versus Number of Trial scatter plot
• Use the Statistical regressions feature to find an exponential function which fits the data
• Write the equation and graph it in the same plane
• Insert a Table and use it to predict the number of M&Ms for a given trial
• Determine the number of trials needed to have a certain number of M&Ms
• Set up and solve two simultaneous equations in the standard exponential equation form
• Compare the results

• Place around 80 M&Ms in a plastic cup
• Shake the cup and pour the M&Ms on the table
• Remove the M&Ms which show the M mark
• Using the remaining M&Ms, repeat the procedure
• Create a scatter plot of M&M versus Trial
• Use the statistical regressions feature to find an exponential function which fits the data
• Explain the coefficients in the general equation
• #### After the Activity

Students answer questions on the activity page.

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary