Proof of the Pythagorean Theorem using Transformations

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Geometry: Transformational Geometry

Level

9-12

Activity Time

90 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Cabri™ Jr. for TI-83 Plus and TI-84 Plus

Other Materials

This is Activity 11 from the EXPLORATIONS Book:
Cabri™ Jr.: Interactive Geometry Activities and Investigations.

Resource Types

Lessons

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Proof of the Pythagorean Theorem using Transformations

Activity Overview

In this activity, students will explore visual proofs of the Pythagorean Theorem using area and transformations. They will use the Cabri™ Jr. app to perform translations on the squares constructed on the two legs and the hypotenuse of a right triangle to consolidate their understanding of the Pythagorean Theorem visually.

Before the Activity

Install the Cabri Jr. App on the students' graphing calculators using TI-Connect™, a TI Connectivity Cable and the Unit-to-Unit Link Cable

Use the TI-Navigator™ to transfer the attached Cabri Jr. AppVar files to each calculator

See the attached PDF file for detailed instructions for this activity

Print pages 71 - 74 from the attached PDF file for your class

During the Activity

Distribute the pages to your class.

Follow the Activity procedures:

Use the AppVar to go directly to the exploration section

Construct three squares along each of the sides of a right triangle, and explore the relationship that exists among the areas of the three squares

Translate the smallest square into the largest square, divide the third square, and move a piece of the third square into the largest square

Use additional transformations to verify that this construction supports the Pythagorean theorem

After the Activity

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 CBIG1101.8xv CBIG1102.8xv

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Geometry: Transformational Geometry

Level

9-12

Activity Time

90 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Cabri™ Jr. for TI-83 Plus and TI-84 Plus

Other Materials

This is Activity 11 from the EXPLORATIONS Book:
Cabri™ Jr.: Interactive Geometry Activities and Investigations.

Resource Types

Lessons

Report an Issue

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Proof of the Pythagorean Theorem using Transformations

Cabri™ Jr. for TI-83 Plus and TI-84 Plus

Proof of the Pythagorean Theorem using Transformations

Before the Activity Files

Cabri™ Jr. for TI-83 Plus and TI-84 Plus

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