Math 20-2

Chapter 8 Proportional Reasoning

Lesson 8.1    Comparing and Interpreting Rates

GOAL

The goal of this lesson is stated at the top of page 444 in your textbook, and is also written below.
Keep this in mind as you work through the lesson material.

Represent, interpret, and compare rates.

Explore...

Try to answer the question in the sidebar on page 444.

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 444 - 445

Read/Work through the Investigate section on Pages 444-445 in your textbook.

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

?  How can you compare Simon’s speeds in his two Olympic medal-winning triathlons?

Video Tutorial

HERE is the Desmos graph with the points used to compare rates.

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  Comparing two rates expressed in different units

TEXT Pages 445 - 446

Work through Example 1 on Pages 445 - 446 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  Connecting the slope of a line segment to a rate

TEXT Pages 446 - 447

Work through Example 2 on Pages 446 - 447 in your textbook.

Video Tutorial

Watch

There isn’t a Your Turn 2

Example 3  Solving a problem involving rates

TEXT Pages 448 - 449

Work through Example 3 on Pages 448 - 449 in your textbook.

Watch

Video Tutorial

Your Turn

I answered this when I did the video for Example 3

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 12,    I didn’t do a video for this one.
here is the answer from the book
e.g.
In the first 10 min, the shuttle was driven away from the airport to pick up and drop off passengers at three different hotels; the farthest hotel was about 9 km away. 
Then the shuttle was driven toward the airport for one more pick-up/drop-off about 7.5 km from the airport. 
It continued toward the airport and stopped at one more hotel, where David disembarked. 
The whole trip took about 22 min.

Question 13,    an interactive way to connect with the ideas of this question.
LINK

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

Question 17,    an interactive way to connect with the ideas of this question.
I didn’t do a video for this one.
It’s a great project type question, and worthy of a complete lesson on its own!
LINK

Question 18,    I didn’t do the second part of the question.

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 13", "Question 14", "Question 15"}, { ,  , "Question 18", , }})