Investigating Area Relationships

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Geometry: Quadrilaterals

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 25 from the EXPLORATIONS Book:
Cabri™ Jr.: Interactive Geometry Activities and Investigations.

Resource Types

Lessons

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Investigating Area Relationships

Activity Overview

The interactive Cabri Jr. geometry application makes it easy to measure the area of triangles and quadrilaterals. In this activity, students will explore some interesting area relationships in quadrilaterals.

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 163 - 166 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 a trapezoid and its diagonals

Explore the relationship between the area of the triangle formed by diagonals

Investigate the relationship while dragging the vertices and sides of the trapezoid

Construct a parallelogram with a segment that divides the parallelogram into two trapezoids

Construct a square and its center

Construct a second conqruent square having a vertex at the center of the first square

Explore the relationship between the area of the square and the area of the region formed by the overlap of squares

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 CBIG2501.8xv CBIG2502.8xv CBIG2503.8xv

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Geometry: Quadrilaterals

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 25 from the EXPLORATIONS Book:
Cabri™ Jr.: Interactive Geometry Activities and Investigations.

Resource Types

Lessons

Report an Issue

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Investigating Area Relationships

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

Investigating Area Relationships

Before the Activity Files

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

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