Education Technology

# Activities

• ##### Subject Area

• Math: Algebra II: Parametric 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™
Sensor - Motion Detector
TI Connectivity Cable
TI-GRAPH LINK™ Cable
Unit-to-Unit link cables
Vernier LabPro®

• ##### Other Materials
This is Activity 23 from the EXPLORATIONS Book:
Real-World Math Made Easy.

The following materials are required for this activity :
• Meter stick
• Masking tape
• Plastic rod

## Crawling Around: Parametric Plots

#### Activity Overview

In this activity, students' will record the x- and y-coordinates of a rod moving in a figure-eight pattern. They will then use the recorded motion information to separately model the x- and y-motion as a function of time. They will plot the experimental data in a y versus x graph and the x- and y-models parametrically for comparison to the experimental data.

#### Before the Activity

• Set up the motion detectors along the lines of symmetry of figure-eight
• Connect the motion detectors to the DIG/SONIC port of each of the CBL 2™ or the DIG/SONIC 1 and DIG/SONIC 2 ports of the Vernier LabPro®
• Connect the CBL 2 or LabPro to the calculator using the Unit-to-Unit cable
• Make a note of which detector will collect x-data and which one will gather y-data
• See the attached PDF file for detailed instructions for this activity
• Print pages 227 - 234 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

Follow the Activity procedures:

• Move the rod along the figure-eight pattern and observe the distance versus time graph on the calculator
• Graph x- versus time and y- versus time data, and fit a sine curve to the data
• Graph the data of the y-detector versus the data of the x-detector and superimpose the sine models on the y versus x plot
• Evaluate the quality of the parametric sine model for the motion data
• #### 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