# Activities

• • • ##### Subject Area

• Math: Algebra II: Logarithms and Exponentials
• Math: Algebra II: Logistic Functions

• ##### Author 9-12

60 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition
• ##### Other Materials
This is Activity 4 from the EXPLORATIONS Book:
Activities for Algebra with the TI-83 Plus.

## The Calcumites are Coming! - TI-83

#### Activity Overview

Students model the growth of a population and compare ideal growth with a population whose growth is limited. They use technology to find exponential and logistic regression equations and use them to plot models.

#### Before the Activity

• Set up the calculator for data collection using the procedure described in the attached Appendix PDF file
• See the attached PDF file for detailed instructions for this activity
• Print pages 39 - 52 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

• Enter the generation and the number of offspring pairs data for the ideal growth population
• Graph a scatter plot
• Calculate the slope of sections of the graph and determine the growth rate
• Perform an exponential regression on the ideal growth data
• Enter generation and the number of offspring pairs data for a population with limited growth
• Graph a scatter plot
• Calculate the slope of sections of the graph and determine the growth rate
• Perform a logistic regression on the limited growth data
• Compare the plots for both regressions
• Find the number of offspring pairs after 20 generations
• #### After the Activity

Students will complete the Data Collection and Analysis page and answer questions listed on it.

Review student results:

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