Activity Detail
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Ratio of Areas
 


Activity Overview

In this activity, students use the CellSheet™ Application to determine geometric ratios of areas. Students determine the position of the vertices of a square that has all four vertices on the sides of a larger square and has a specified area. They also learn how quadratic functions can model geometric ratios.

Before the Activity

  • Install the CellSheet on the calculator using the TI Connect™, TI-Connectivity cable, and Unit to Unit cables
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 51 - 52 from the attached PDF file for your class

    		•

    		During the Activity

    		Distribute the pages to your class.

    Follow the Activity procedures:
  • Use the quadratic equation and for different x-values find the corresponding y- values
  • Determine the slope of the secant line that passes through 2 points
  • Determine the Δx - slope relationship
  • For values of x, use the cubic equation to find the corresponding y-values
  • Determine the slope of the secant line and Δx - slope relationship
  • Compare the Δx - slope pattern for the cubic quadratic function curves

    		After the Activity

    		Students will complete the worksheet 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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    Subject Area:
    Math : Algebra I : Quadratic Functions

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    60 Minutes

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

    Apps:
    CellSheet™

    Software:
    TI Connect™

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

    Other:
    This is Activity 5 from the EXPLORATIONS Book: Exploring Mathematics with the CellSheet™ Application

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