Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Quadratic Functions
• Science: Physical Science: Newton's Laws

6-8

45 Minutes

• ##### Device
• TI-73 Explorer™
• TI-Navigator™

TI Connect™

• ##### Accessories

CBR™/CBR 2™
TI Connectivity Cable

• ##### Other Materials
This is Adventure 12 from the EXPLORATIONS Book:
Adventures in Data Collection with TI-73 Explorer™.

The following materials are required for this activity:
• A bouncing ball

## Curve Ball - Adventure 12

#### Activity Overview

In this adventure , students will make a Height-Time plot of a bouncing ball using the CBR 2™. They graph height as a function of time. They identify and understand the vertex form of a quadratic equation that is generated to describe the ball's motion.

#### Before the Activity

• Connect CBR 2 to the calculator.
• Launch the CBL /CBR 2™ App
• Start the Ranger program and select the Ball Bounce application
• Transfer files to the student calculators using the TI-Navigator™  "send to class" feature
• See the attached PDF file for detailed instructions for this activity
• Print pages 78 - 79 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

Collect Data:

• Set up the CBR 2 at shoulder height with a ball 0.5 meters directly below it
• Release the ball and collect ball bounce height data
• Plot time versus distance data
• Examine any one bounce, the plot has a parabolic shape
• Explore the quadratic equation that describes this motion is quadratic:y = A(x - H)2 + K where A affects the width of the parabola and (H, K) is the vertex of the parabola. In this activity, the control variable, x, represents time and y represents height.
• Identify the vertex (H, K) of the first complete bounce and substitute the values in the equation
• Use different values of A in the equation and view the graph formed
• Find the value of A that best fits bounce data and write the equation of a parabolic ball bounce
• Find the equation for the second bounce
• Explore how as values of A increases, the parabola gets narrower and as A decreases, the parabola gets wider
• Value of A for a quadratic equation of a bouncing ball is constant

• TI-Navigator activity:
• Load the Arch.act activity settings file
• Have students submit quadratic equations that best fit the arch
• #### After the Activity

Students analyze the results and answer the questions in the worksheet

Review student results:

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