Activity Detail

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The Geometric Mean
 


Activity Overview

Students will:
  • Construct a right triangle with one altitude.
  • Establish that several triangles are similar and verify that one side is the geometric mean between two other segments.
  • Try to alter the properties of their construction by moving the vertices.

  • Before the Activity

    Provide students with a copy of the attached .pdf document.

    During the Activity

    This activity will help students visualize the geometric mean and connect the algebraic definition with the geometric construction.

    After the Activity

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


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    Subject Area:
    Math : Geometry : Triangles

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    50 Minutes

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

    Apps:
    Cabri™ Jr.

    Software:
    Cabri Geometry™, TI Connect™

    Accessories:
    TI Connectivity Cable, Unit-to-Unit link cables

    Other:
    Visit TI Math.com.

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