Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Equations and Inequalities

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
Vernier LabPro®

• ##### Other Materials
This is Activity 14 from the EXPLORATIONS Book: Real-World Math Made Easy.

The following materials are required for this activity :
• Meter stick
• Plastic pipe

## From Here to There Applications of the Distance Formula

#### Activity Overview

In this activity, students' will use a pair of motion detectors to record the cartesian coordinates of a rod moving in a star-shaped pattern and calculate the distances moved between the vertices of the star. They also compare these calculated distances with direct measurements on the star pattern.

#### Before the Activity

• Connect motion detectors to the DIG/SONIC ports of the CBL 2™ unit or the DIG/SONIC 1 and DIG/SONIC 2 ports of the Vernier LabPro® unit
• Connect the CBL 2 or LabPro to the calculator using the Unit-to-Unit cable
• Make a note of which detector will collect x-coordinates and which one will gather y-coordinates
• See the attached PDF file for detailed instructions for this activity
• Print pages 133 - 141 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

• Position the star figure sheet and the motion detectors on the table
• Move the rod along the star shaped pattern and collect data
• Study the distance versus time graph and record the distance between the y-detector and the first vertex of the star shape
• Trace the graph to display the coordinates of the vertices and record them in the Data table
• Measure the length of each segment on the star pattern with a meter stick and record the values in the Data sheet
• Compare the segment lengths calculated using the distance formula with those determined by direct measurement
• #### After the Activity

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

Review student results:

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