Education Technology

Exploring Quadratic Data with Transformation Graphing

Published on 06/09/2008

Activity Overview

Students practice with the parameters of the vertex form of the parabola and their effect on the shape of the curve. They use this concept to find a quadratic model. They also use translation and dilation to change the general parabola.

Before the Activity

  • Set up the Transformation Graphing Application and the CBL™/CBR™ Application on the calculator using the TI Connect™ software
  • Connect the CBR 2™ to the calculator using the Unit-to-Unit link cable
  • Run the Ranger program on the calculator
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 30 - 38 from the attached PDF file for your class
  • During the Activity

    Distribute the pages to your class.

    Follow the Activity procedures:

  • Release a ball beneath the CBR and collect data as it bounces
  • Observe the distance versus time plot on the screen and store the data as lists in the calculator
  • Set up a scatter plot and record the coordinates of the vertex
  • Use the DRAW feature and sketch the axis of symmetry
  • Select the Transformation Graphing application and enter the general vertex form of the quadratic function
  • Enter estimates for the coefficients to get a best fit model for the data
  • 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