Proportions and Similar Polygons

Introduction

Description: In this WebQuest, you are going to learn similar polygons (same shape polygons with different sizes). When given 2 ploygons, you will be able to compare angles for congruency and calculate the proportions between corresponding sizes. 

Grade Level: 9-12 

CCSS: G.SRT.5

Definitions:

Proportions:

Relationship between two things when the quantities of the two are equal in ratios.

Scale Factor:

 The ratio of the corresponding sides of two similar polygons.

Similar Polygons

Two polygons are similar if and only if their corresponding angles are congruent and the measures of their corresponding sides are proportional.



Why it is Important?
You can use similar polygons to solve problems involving cartography, gardening, and construction work.

What will You Learn?
To identify similar figures, and to solve problems involving similar figures.

Task

Task 1-4: Understanding Proportions and Similar Polygons

Students will be able to use and write proportions. Students will be able to identify and solve similar polygons. 

Task 5: Using Similar Polygons

Students will be able to identify and solve similar polygons.

Task 6: Using Proportions

Students will play the millionaire game to practice solving proportions. 

Task 7: Using Proportions

Students will play a racing game to practice solving proportions.

Task 8: Practice

IXL Practice finding the missing lengths. 

Task 9: QUIZ Proportions and Similar Figures

Process

TASk 1: Proportions

TASK 2: Similar Triangles

TASK 3: Similar Polygons

Task 4: Find Missing Sides

TASK 5: Similar and Congruent

TASK 6: Rags to Riches

TASK 7: Dirt Bike

TASK 8: Practice

Task 9: QUIZ

      Write the problem and the answer on a separate sheet of paper. 

Conclusion

“You must say it...You must not stop now...”

Now that you are more than ready to move on, apply what you have learned to your homework!