Math 20-2

Chapter 8 Proportional Reasoning

Lesson 8.2    Solving Problems That Involve Rates

GOAL

The goal of this lesson is stated at the top of page 454 in your textbook, and is also written below.
Keep this in mind as you work through the lesson material.

Analyze and solve problems that involve rates.

Explore...

Try to answer the question in the sidebar on page 454.

For some possible ideas...
a)	change to km per minute
b)	change to meters per second
c)	change to miles per hour
d)	change to feet per minute
e)	change to feet per second

Watch

Video Tutorial

Learn About the Math

Information and Examples that present the ideas of this lesson

TEXT Pages 454 - 455

Read/Work through the Learn About the Math section on Pages 454-455 in your textbook.

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

Solving a problem that involves multiple rates

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 2  Connecting rates to contextual situations

TEXT Page 455

Work through Example 2 on Page 455  in your textbook.

A great practical example, but nothing to add here.
Read the explanation given in the textbook.

Your Turn

Not sure what unit rates might be familiar to you, here are a couple I can think of right away....
The price of gas is one I see regularly,  eg.   92.9 per L   ($ 0.922/L)
I get coffee at Tim Horton’s and I get 10 points per coffee,  and   70 points gets you a free coffee.

Example 3  Reasoning to solve a rate problem

TEXT Page 456

Work through Example 3 on Page 456 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 4  Solving a problem that involves different rates

TEXT Pages 456 - 458

Work through Example 4 on Pages 456 - 458 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 6,    I didn’t do a video for this one.
Here are the textbook ideas  (anything logical would be fine for an answer here)
e.g.,
a) cost for meat in a grocery store
b) amount of medicine per body mass
c) cost for cold cuts at the deli counter
d) change in temperature as altitude changes when climbing a mountain
e) density of a substance
f) cost of flooring at a hardware store

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 7", "Question 8", "Question 9", "Question 10"}, {"Question 11", "Question 12", "Question 13", "Question 14", "Question 15"}, {"Question 16", "Question 17", "Question 18", "Question 19", "Question 20"}})