Ratio of Areas

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Quadratic Functions

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-83 Plus Family

TI-84 Plus

TI-84 Plus Silver Edition

Applications

CellSheet™ for TI-83 Plus and TI-84 Plus

Other Materials

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

Resource Types

Lessons

Report an Issue

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

Download Files

Download All Files (ZIP)

Before the Activity Files

Teacher Notes Appendix B PDF Teacher Notes PDF

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Quadratic Functions

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-83 Plus Family

TI-84 Plus

TI-84 Plus Silver Edition

Applications

CellSheet™ for TI-83 Plus and TI-84 Plus

Other Materials

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

Resource Types

Lessons

Report an Issue

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Ratio of Areas

CellSheet™ for TI-83 Plus and TI-84 Plus

Ratio of Areas

Before the Activity Files

CellSheet™ for TI-83 Plus and TI-84 Plus

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