Activity Detail

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Lines, Models, CBR - Let's Tie Them Together
 


Activity Overview

In this activity, students use a motion detector to create the data set and examine the relationship between a physical action and a mathematical and/or graphic model of that action.

Before the Activity

Install the Transformation Graphing application on the students' graphing calculators using one of these two methods:
  • TI-Connect™,  a TI Connectivity Cable, and the Unit-to-Unit Link Cable
  • TI-Navigator™  "send to class" feature
  • Connect the CBR 2™ to the calculator using the Unit-to-Unit link cable
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 17 - 23 from the attached PDF file for your class


  • During the Activity

    Distribute the pages to the class.

    Follow the Activity procedures:
  • Place the CBR on a table
  • Set up the Data Logger App to record one reading every 0.1 second for 6 seconds
  • Walk away from the CBR at a constant rate
  • Study the distance versus time graph
  • Set up a scatter plot of the data and trace it to find the y-intercept
  • Determine the slope, write the equation of the line which best fits the data, and graph it
  • In a second trial, students try to walk and duplicate the model graph
  • In a third trial, students try to walk and match the graph with a negative slope
  • In each trial, students identify how the direction and speed of motion affects the distance versus time plot


    After the Activity

    Students will complete the Student Worksheet and answer questions listed on it.

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


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    Subject Area:
    Math : Algebra I : Linear Equations and Functions

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    90 Minutes

    Device:
    TI-83 Plus Family, TI-84 Plus Family

    Apps:
    Transformation Graphing

    Software:
    TI Connect™

    Accessories:
    CBR™/CBR 2™, TI Connectivity Cable, Unit-to-Unit link cables

    Other:
    This is Activity 2 from the EXPLORATIONS Book:
    Exploring Mathematics with the Transformation Graphing Application.

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