Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Quadratic Functions
• Math: Geometry: Transformational Geometry

9-12

60 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition

TI Connect™

• ##### Accessories

CBR™/CBR 2™
TI Connectivity Cable

• ##### Other Materials
This is Activity 4 from the EXPLORATIONS Book:
Exploring Mathematics with the Transformation Graphing Application.

The following materials are needed for this activity:

#### Activity Overview

Students will analyze the vertex form of a parabola and find an approximate fit of a model. They will study the quadratic function (parabola) and its properties by developing quadratic models. They also use translation and dilation to change the general parabola.

#### Before the Activity

Install the Transformation Graphing application on the students' graphing calculators 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
• 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 43 - 54 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

• Release a ball beneath the CBR and collect data as it bounces
• Observe the distance versus time plot
• Store the data in lists in the calculator
• Set up a scatter plot
• Record the coordinates of the vertex
• Sketch the axis of symmetry
• 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 study the Stamp Prices data on the Student Worksheet and predict the cost of the stamp for a year in the future.

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