Math 8

Unit 6 Linear Equations and Graphing

Lesson 61 Solving Equations Using Models

Getting Started

There are a few things to cover BEFORE we actually get into the lesson.

You will be using Algebra Tiles to do some activities in some of the lessons for this unit.

If you have a set of REAL, physical,  tiles,  awesome!   Use them!

If you don’t ,  I have created a file with virtual tiles that you can use when you need them.

THIS video gives you a few tips for how to use them.

When you click on the link to USE the file,  you will be asked to create a copy of the file.

This will allow you to work on your own copy of the file so you can "mess it up" whatever way you want.

Check it out   LINK

Focus

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

TEXT Page 318

Read/Work through the  Focus  section at the top of page 318 in  your textbook.

Watch

Video Tutorial

Investigate

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

TEXT Page 318

Read/Work through the  Investigate  section on Page 318 in your textbook.

Algebra Tiles file, if you need it.     LINK

You may not have a partner to work with.  
No worries!  
You can do this activity on your own.
Do your best to answer the questions, then watch the Video Tutorial for help or to check your answers.

Watch

Video Tutorial

Connect

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

TEXT Page 319

Read/Work through the  Connect  section on Page 319 in your textbook.

This isn’t super complicated (I don’t think...!),   but if you are interested,  you can use a virtual balance to explore these ideas...
The video comments come from a similar activity used in Math 9.

My video comments (just to explain the process...)

LINK to the balance

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

TEXT Pages 319-320

Work through Example 1 on Pages 319 - 320  in your textbook.

Watch

Video Tutorial

Example 2

TEXT Pages 320 - 321

Work through Example 2 on Pages 320 - 321  in your textbook.

Watch

Video Tutorial

Example 3

TEXT Pages 322-324

Work through Example 3 on Pages 322 - 324  in your textbook.

Watch

Video Tutorial

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

Discuss the Ideas invites you to talk about the math.
If possible share your thoughts/ideas/answers with another person.
If you can help them understand, then you likely have good understanding yourself.

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

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

Take It Further questions offer enrichment and extension.

Notes

Question 16,    I think that if you “push” these models, you could make them work, like using a fraction of a tile,  or a balloon for a negative.
Worthwhile to think about,  but I didn’t create a video here since I don’t think there is a “right or wrong” answer 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", "Question 13", "Question 14", "Question 15"}, { , "Question 17", , , }})