Activity Detail
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Perimeters, Areas, and Slopes - Oh, My!
 


Activity Overview

In this activity, students create geometric figures, and use analytic and coordinate geometry to investigate their attributes. They go through the process of proving that a quadrilateral is a parallelogram.

Before the Activity

  • Install the Inequality Graphing Application on the calculator 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
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 37 - 41 from the attached PDF file for your class

    		•

    		During the Activity

    		Distribute the pages to your class.

    Follow the Activity procedures:
  • Position the quadrilateral in the Cartesian coordinate plane
  • Graph the system of inequalities that determines the quadrilateral and its feasible region
  • Shade the feasible region of the system of inequalities
  • Trace the graph and determine the coordinates of the other three vertices
  • Devise a strategy for determining whether the quadrilateral is a parallelogram (slopes of opposite sides are equal)
  • Provide mathematical evidence to support the conclusion
  • Determine the perimeter and area of the parallelogram

    		After the Activity

    		Students will complete the Student Worksheet 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

    		Other Downloads




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    Subject Area:
    Math : Algebra I : Equations and Inequalities
    Math : Geometry : Quadrilaterals

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    60 Minutes

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

    Apps:
    Inequality Graphing

    Software:
    TI Connect™

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

    Other:
    This is Activity 4 from the EXPLORATIONS Book:
    Exploring Mathematics with the Inequality Graphing Application



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