Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Quadratic Functions

9-12

60 Minutes

• ##### Device
• TI-73 Explorer™
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition

TI Connect™

• ##### Accessories

CBL™/CBL 2™
CBR™/CBR 2™
Sensor - Motion Detector
TI Connectivity Cable
Vernier LabPro®

• ##### Other Materials
This is Activity 10 from the EXPLORATIONS Book: Real-World Math Made Easy.

The following materials are required for this activity :
• 4 wheeled cart
• Board
• Books to support ramp

## What Goes Up: Position and Time for a Cart on a Ramp

#### Activity Overview

In this activity, students' will use a motion detector to measure how the position of a cart on a ramp changes with time. They will then determine a parabolic model for the position data using the intercepts.

#### Before the Activity

• Connect the motion detector to the DIG/SONIC port on the CBL 2™ or the DIG/SONIC 1 port of theVernier LabPro®
• Connect the CBL 2 or LabPro to the calculator using the Unit-to-Unit cable
• See the attached PDF file for detailed instructions for this activity
• Print pages 91 - 98 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

• Place the motion detector on top of an inclined board
• Roll the cart up the ramp so the cart does not get close to the detector
• Record data and examine the distance versus time graph
• Trace the parabola and record the intercepts in the Data sheet
• Determine the equation for the parabola
• Perform a quadratic regression and determine the regression line equation and its parameters
• #### After the Activity

Students' will complete the Data Collection and Analysis Sheet and answer questions listed in it.

Review student results:

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