Activity Detail

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The Closer I Get to You
 


Activity Overview

In this activity, students understand how to use the Laws of Reflection to find the heights of objects. They also gain an understanding of a rational function.

Before the Activity

  • Set up the calculator for data collection
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 199 - 205 from the attached PDF file for your class


  • During the Activity

    Distribute the pages to the class.

    Follow the Activity procedures:
  • Tape one paper strip with 10 cm markings on the wall, and another on the floor, perpendicular to the first
  • Draw a square in the center of a mirror and place the mirror on the floor such that the center of the square is 20 cm from the wall
  • Record the position of the spotter when he sees the reflected image of the marking on the wall in the mirror
  • Enter the height on the wall and the distance data as a list
  • Set up a scatter plot
  • Find a rational function to calculate the height of the student
  • Determine where the spotter will have to stand to see the top of a classmate's head


    After the Activity

    Students will complete the Data Collection and Analysis page and answer questions.

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


    Other Downloads




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    view textbook alignment

    Subject Area:
    Math : Precalculus / Trig : Rational Functions

    Author:
    Texas Instruments

    Level:
    5-8

    Activity Time:
    60 Minutes

    Device:
    TI-73 Explorer™

    Apps:
     

    Software:
     

    Accessories:
     

    Other:
    This is Activity 14 from the EXPLORATIONS Book:
    Activities for Algebra with the TI-73.

    The following materials are required for this activity:

  • Small mirror
  • Adding machine paper
  • Masking tape and markers
  • Meter stick


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