Perimeters, Areas, and Slopes - Oh, My!

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Equations and Inequalities

Math: Geometry: Quadrilaterals

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

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

Other Materials

This is Activity 4 from the EXPLORATIONS Book:
Exploring Mathematics with the Inequality Graphing Application

Resource Types

Lessons

Report an Issue

Perimeters, Areas, and Slopes - Oh, My!

Activity Overview

Students create geometric figures, and use analytic and coordinate geometry to investigate their attributes. They go through the process of proving that a quadrilateral is a parallelogram.

Before the Activity

Install the Inequality Graphing Application on the calculator 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

See the attached PDF file for detailed instructions for this activity
Print pages 37-41 from the attached PDF file for your class

During the Activity

Distribute the pages to your class.

Follow the Activity procedures:

Position the quadrilateral in the Cartesian coordinate plane

Graph the system of inequalities that determines the quadrilateral and its feasible region

Shade the feasible region of the system of inequalities

Trace the graph and determine the coordinates of the other three vertices

Devise a strategy for determining whether the quadrilateral is a parallelogram (slopes of opposite sides are equal)

Provide mathematical evidence to support the conclusion

Determine the perimeter and area of the parallelogram

After the Activity

Students will complete the Student Worksheet and answer questions listed in it.

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: Equations and Inequalities

Math: Geometry: Quadrilaterals

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

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

Other Materials

This is Activity 4 from the EXPLORATIONS Book:
Exploring Mathematics with the Inequality Graphing Application

Resource Types

Lessons

Report an Issue

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Perimeters, Areas, and Slopes - Oh, My!

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

Perimeters, Areas, and Slopes - Oh, My!

Before the Activity Files

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

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