Math 10C

Chapter 8 Solving systems of linear equations graphically

Lesson 82 Modelling and Solving Linear Systems

Focus

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

TEXT Page 432

Read/Work through the  Focus  section at the top of page 432 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.

This is a great investigation, and certainly worthwhile, but it would be very time-intensive to do well.

Your teacher may assign this for you to do, but since all this material is going to be covered in the lesson, I didn't create any videos here.

You can get a bit of an idea what is involved, if you do a Google maps search, and you can look at different routes using different means of transport.

In the screen shot below,  you can see a route betweenToronto and Quebec City, with rail chosen as the means of transportation.

I've never done that before, and based on the information, I'm thinking that  you can't even actually do this,  that a bus transfer is required to actually make the trip.

TEXT Pages 432 - 433 (if you do it....)

Read/Work through the  Investigate  section on Pages 432 - 433 in your textbook.

A list of materials  you need for the Investigation is given in the side bar.

Your work will be a lot more efficient if you PLAN for and GATHER these items BEFORE you start the Investigation!

Link the Ideas

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

TEXT Page 433

Read/Work through the  Link the Ideas  section on Page 433 in your textbook.

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  Model a Linear System Algebraically and Graphically

TEXT Pages 434 - 435

Work through Example 1 on Pages 434 - 435 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  Interpret Information From the Graph of a Linear System

TEXT Pages 436 - 437

Work through Example 2 on Pages 436 - 437 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  Model and Solve a Problem Involving a Linear System

TEXT Pages 438 - 439

Work through Example 3 on Pages 438 - 439 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.

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"}, {"Question 16", "Question 17", "Question 18", "Question 19", "Question 20"}, {"Question 21", "Question 22", "Question 23", "Question 24", }})