Lesson 5

1. Lesson 5

Mathematics 30-3 Module 5

Module 5: Geometry

Lesson 5: Multiple Transformations

Focus

This picture shows a chandelier with a large hemispherical light surrounded by eight smaller hemispherical lights. There are patterned tiles in the background.

iStockphoto/Thinkstock

Translations, reflections, dilations, and rotations can all be useful in construction. Imagine what the plan for the light and background in the picture looked like. Can you see the different transformations in the picture? Sometimes a single transformation is not enough to describe how an object changes. Using two or more transformations in sequence can add to the versatility of transformations.

In this lesson, you will explore how two transformations can be used one after the other.

Lesson Outcomes

At the end of this lesson you will be able to

perform multiple transformations on two-dimensional and three-dimensional objects
determine the transformations used, given an original figure and a transformed figure

Lesson Question

You will investigate the following question:

How can multiple transformations be used to change a figure?

Assessment

Your assessment may be based on a combination of the following tasks:

completion of the Lesson 5 Assignment (Download the Lesson 5 Assignment and save it in your course folder now.)
course folder submissions from Try This and Share activities
work under Project Connection

Materials and Equipment

graph paper
scissors