Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Equations and Inequalities

9-12

60 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition

TI Connect™

• ##### Accessories

TI Connectivity Cable

• ##### Other Materials
This is Activity 4 from the EXPLORATIONS Book:
Exploring Mathematics with the Inequality Graphing Application

## 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.

• 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