Module 6

Module 6: Triangles and Other Polygons

 

Lesson 2: Ratios and Similar Polygons

 

Focus

 

 

Matryoshka dolls, or Russian nesting dolls, are a series of hollow wooden dolls that fit one inside the other. This artistic tradition is over 120 years old. Similar Japanese dolls inspired artists in the 1890s. What makes this art form so appealing is the painted figures. Sometimes the painted figures are all geometrically similar, as in this set, and sometimes the figures may portray different characters, often ending with a baby as the smallest figurine.

 

Similarity in art is a common feature. As you work through the activities of this lesson, you may be interested in exploring this aspect further as part of your Unit 3 Project.

 

Lesson Questions

 

In this lesson you will explore these questions:

• How can you determine if two polygons are similar?

• How are the relationships among the sides and angles of similar polygons used to help solve problems?

Assessment

 

You will complete the Lesson 2 Assignment Booklet for assessment. Download the Lesson 2 Assignment Booklet and save it in your course folder now. You will receive instructions on how to complete the Assignment Booklet later in the lesson. You will also be prompted to start working on the Unit 3 Project.

 

Remember to save all activities, including those that are not part of the Assignment, in your course folder.

 

Required Materials and Equipment

 

For this lesson you will need the following supplies:

• a protractor

• a straightedge or ruler

• several blank sheets of paper

• a calculator

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