Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Exponential Functions

9-12

60 Minutes

• ##### Software

TI InterActive!™

• ##### Report an Issue

Problem Solving: Modeling the Marathon

#### Activity Overview

In this activity, students use the TI InterActive!™ and exponential functions to predict if, and when, women will better the men's record in the marathon event in the Olympic games.

#### Before the Activity

• Install the TI InterActive!™ on the computer
• See the attached PDF file for detailed instructions for this activity
• Print pages 1 - 3 from the attached PDF file for the class
• #### During the Activity

Distribute the pages to the class.

• Examine the graphical data on the world record marathon times for men and women
• Calculate the number of years since 1900
• Calculate the decimal hours taken for the marathon
• Use the Statistical regression feature to calculate an exponential model for the data
• Graph the function
• State the rule for the men's marathon time, and check the validity of the rule
• Repeat the steps to determine the rule for the women's marathon time
• Use the rules to find the intersection point of the two functions
• Predict whether women will ever beat men in the marathon, and if yes, anticipate the date
• Add the last three records of the Women's marathon and identify the difference this makes to the results
• #### 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