Exploring Quadratic Data

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Quadratic Functions

Math: Geometry: Transformational Geometry

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Accessories

CBR™ 2 motion sensor

Other Materials

Racquetball or Basketball

Resource Types

Lessons

Report an Issue

Exploring Quadratic Data

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.

Follow the activity procedures:

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

Download Files

Download All Files (ZIP)

Before the Activity Files

Teacher Notes Appendix A PDF Teacher Notes Appendix B PDF Teacher Notes PDF

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Quadratic Functions

Math: Geometry: Transformational Geometry

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Accessories

CBR™ 2 motion sensor

Other Materials

Racquetball or Basketball

Resource Types

Lessons

Report an Issue

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Vernier EasyData,Vernier EasyLink and Vernier EasyTemp are registered trademarks of Vernier Science Education.

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Exploring Quadratic Data

TI-CBL™/CBR™ App for TI-83 Plus and TI-84 Plus

Transformation Graphing for TI-83 Plus and TI-84 Plus

Exploring Quadratic Data

Before the Activity Files

TI-CBL™/CBR™ App for TI-83 Plus and TI-84 Plus

Transformation Graphing for TI-83 Plus and TI-84 Plus

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