Math 20-2

Chapter 8 Proportional Reasoning

Lesson 8.4  Scale Factors and Areas of 2-D Shapes

GOAL

The goal of this lesson is stated at the top of page 475 in your textbook, and is also written below.
Keep this in mind as you work through the lesson material.

Solve area problems that involve similar 2-D shapes.

Explore...

Try to answer the question in the sidebar on page 475.

Watch

Video Tutorial

Investigate the Math

Investigate an idea or problem, with a partner if possible.
The investigation provides the background for the ideas presented in the lesson.

TEXT Pages 475 - 476

Read/Work through the Investigate section on Pages 475-476 in your textbook.

Go through this material,  AS BEST YOU CAN,  before you view the video tutorials that follow.

How does the area of the larger quilt relate to the area of the original quilt?

Introduction

Video Tutorial

Apply the Math  (Examples)

Examples will give you TOOLS for solving problems, and also show you that there may be different ways to approach a question.

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the examples as models.

Example 1  Reasoning about scale factor and area

TEXT Pages 476 - 477

Work through Example 1 on Pages 476 - 477 in your textbook.

Watch

Video Tutorial

Your Turn

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Example 2  Reasoning about scale factor and area to determine dimensions

TEXT Pages 477 - 478

Work through Example 2 on Pages 477 - 478 in your textbook.

Watch

Video Tutorial

Your Turn

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

In Summary

Key Ideas and Need to Know 
Presents and summarizes  the main new concepts of the lesson

•	Carefully read through each of the bullet points in this section.

•	If you are unclear about any of these ideas,  ASK YOUR TEACHER FOR HELP!

Practice Problems

Doing Practice Problems

Practice problems reinforce the math presented in this lesson.

•	Work through the practice problems for this lesson.
	These problems are for practice, you don’t need to hand them in!
	(your teacher may assign specific questions for you to complete)

•	Use the answers in the back of the book to CHECK YOUR WORK!

•	If you make a mistake, TRY TO FIX IT!

•	If you need help or want more information, view the video solutions provided.

•	If you still need more help,  CONTACT YOUR TEACHER!

Types of Practice Problems

Check Your Understanding questions require basic understanding of the ideas of the  lesson.

Practising questions will require you to dig deeper for a solution.

Closing  A summary question that often asks YOU to explain ideas in your own words.

Extending questions offer enrichment and extension.

Notes

Question 16,    I didn’t do a video for this one.

Question 17,    I didn’t do a video for this one.
In the first case, the area is divided by 4.
In the second case, the area is divided by 2.

Question 15,    oops,  I did the question in two parts.  I should have joined them together.
Part A   LINK
PART B  LINK

Video Solution Links

Check your work for every problem you do!
If you make a mistake,  try to fix it!
Use the video solutions for more information.
If a problem still doesn’t make sense, ASK YOUR TEACHER FOR HELP!

({{"Question 1", "Question 2", "Question 3", "Question 4", "Question 5"}, {"Question 6", "Question 7", "Question 8", "Question 9", "Question 10"}, {"Question 11", "Question 12", "Question 13", "Question 14", "Question 15 A"}, { ,  , "Question 18", "Question 19", }})