Education Technology

# Activities

• ##### Subject Area

• Math: Geometry: Transformational Geometry

9-12

90 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 6 from the EXPLORATIONS Book:
Cabri™ Jr.: Interactive Geometry Activities and Investigations.

## Translations in the Plane

#### Activity Overview

In this activity, students will perform a translation, and explore the properties of translations. In the second part of this activity, they will extend the concept of translations to the coordinate plane.

#### 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 37 - 40 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

• Use the AppVar to go directly to the exploration section
• Construct a triangle and a translation segment
• Translate the triangle based on the length and direction of the translation segment
• Drag the vertices and sides of the triangle and observe how the new triangle (image) changes
• Drag a point on the translational segment and observe how the new triangle (image) changes
• Draw a triangle to translate in the coordinate plane
• Reflect the triangle across the x-axis and y-axis
• Observe the relationships between the coordinates of the vertices of the pre-image and the corresponding vertices of the image
• #### After the Activity

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary