# Activities

• • • ##### Subject Area

• Math: Algebra I: Linear Functions

• ##### Author 9-12

60 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition

TI Connect™

• ##### Accessories

TI Connectivity Cable

• ##### Other Materials
This is Activity 1 from the EXPLORATIONS Book:
EasyData Activities: Modeling Algebraic Functions with Data Collection Activities.

The following materials are required for this activity:
• Stopwatch
• Small bouncing ball (tennis/racquet balls)

## Pass the Ball

#### Activity Overview

Students use mathematics to examine patterns that occur in a specific scenario and predict future events for the scenario.
Data is collected on the time it takes to pass a ball. The students plot graphs, fit the data with a function rule, analyze proportional relationships, and make predictions.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 1 - 5 from the attached PDF file for the class
• Set up the calculator for data collection
• #### During the Activity

Distribute the pages to the class.

• Have four students stand in a circle
• Each students bounces the ball, catches it, and passes it to the next student
• Continue passing the ball until it is back to the person who started
• Determine the time it takes to complete one cycle
• Record three trials and find out the average time
• Collect data using five different sets of students
• Enter the data (number of students in a group, and the time they took to pass the ball) as lists
• Create a scatter plot
• Perform a linear regression to fit the data with a function rule
• Find the equation of the line of best fit, and calculate he slope
• Estimate the time it would take the entire class to complete the activity and compare it to the actual time taken

• Repeat the entire process of passing the ball, without bouncing it
• Find the line of best fit
• Find the approximate time the entire class would take to pass the ball
• #### After the Activity

• Students analyze the results and answer the case analysis questions on the student worksheet
• Review student results
• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary