Education Technology

Haunted House- A Geometric Transformation

Published on 06/09/2008

Activity Overview

Students will draw a haunted house on graph paper and label points around the perimeter of the house. The coordinates will be entered into the calculators. Students will morph their houses by shrinking and rotating their picture.

Before the Activity

Using graph paper, students will draw a "haunted house" in Quadrant 1 and 2. Students will mark at least 30 points around the perimeter of their houses and label them as ordered pairs.

During the Activity

Students will enter the x-values from their graphs into List 1 and the y-values into List 2 and graph. Using TI-Navigator Screen Capture, students can see classmates' creations. Students will predict what would happen to the house if the x and y values were multiplied by 1/2. Using one student's graph, multiply the x and y values by 1/2 and entered the new values into L3 and L4 and graph.
Using TI-Navigator Screen Capture, zoom in on this calculator screen and students verify their previous prediction. Students predict what would happen to the house if the x and y values were multiplied by -1. Record the predictions. Students multiply their x and y values by (-1/2) and input the new values in L3 and L4.
Graph the new haunted houses. (Remember to change the WINDOW to show all four Quadrants.) Using TI-Navigator Screen Capture, show individual students' graphs.

After the Activity

Students will reflect on this activity and verify their predictions. Within small groups, students will draw conclusions on how to shrink and rotate a picture on the coordinate plane, and how the x and y values change.