Math 10C

Chapter 6 Linear Relations and Functions

Lesson 62 Linear Relations

Focus

The FOCUS section introduces the main concept that will be covered in the lesson.

TEXT Page 279

Read/Work through the  Focus  section at the top of page 279 in  your textbook.

Investigate

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

I can’t see any way to easily do this investigation,  without having a group of students to work with.

I found some data on the internet that was close, but different enough to mean that the investigation would have to be modelled to make it work.

If you can make this work, great!  Do it!!

If not,  I’ve pulled some data off the net and done a quick overview to help show you the INTENT of this investigation, to set the stage for the lesson that follows.

Watch  (my own Investigation)

Video Tutorial

Using Desmos

My sense as a teacher is that the MORE examples you can create and look at, in a short period of time, the BETTER you will be able to develop the “working math background” needed to tackle the ideas of this unit.

Your calculator is a TOOL you are encouraged to use in this class, and you will see SPECIFIC tutorials helping with that in this unit.

However, it’s old technology, and having access to more modern technology can (IMHO) REALLY HELP with the ideas of this lesson.

I’ve made a short video giving you a bit of info about this online graphing calculator that I will encouraging you to use through the rest of your Math 10C course.

Video Tutorial

Link the Ideas

Link the Ideas summarizes the math in the lesson.
A presentation of ideas connected to the lesson focus.

TEXT Pages 280 - 282

Read/Work through the  Link the Ideas  section on Pages 280 - 282 in your textbook.

Watch

Video Tutorial A

Video Tutorial B

Video Tutorial C

Video Tutorial D

Examples

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

Example 1  Describe a Relation in a Variety of Ways

TEXT Pages 282 - 283

Work through Example 1 on Pages 282 - 283 in your textbook.

Watch

Video Tutorial

Your Turn

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

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  Determine Whether a Relation Is Linear or Non-linear

TEXT Page 284

Work through Example 2 on Page 284  in your textbook.

Watch

Video Tutorial

Your Turn

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

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 3  Match Representations of a Linear Relation

TEXT Pages 285 - 286

Work through Example 3 on Pages 285 - 286 in your textbook.

Watch

Video Tutorial

Your Turn

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

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

Key Ideas

Key Ideas 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!

Check Your Understanding    (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

Practice questions require basic understanding of the ideas of the  lesson.

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

Extend questions offer enrichment and extension.

Create Connections questions connect the math to everyday contexts.

Mini Lab (optional)  your teacher may or may not have you do these.

Notes

You are asked to create graphs for many of these problems.   
If you are trying to be efficient,  you might want to print 4 - 5 graph pages so you have them READY.
THIS FILE is a good general grid you can use.  (1 cm grid paper)

Question 13,    I didn’t do a video for this one

Question 14,    I didn’t do a video for this one

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",  ,  , }})