Math 8

Unit 2 Integers

Lesson 822 Developing Rules to Multiply Integers

Focus

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

TEXT Page 70

Read/Work through the  Focus  section at the top of page 70 in  your textbook.

Answers

ROWS!  ⟶

Using addition,   (-5)+(-5) + (-5) = -15
Using multiplication,  we have three groups of -5  which is   (3)(-5) = -15

COLUMNS! ↓

Using addition   (-3) + (-3) + (-3) + (-3) + (-3)= -15
Using multiplication,  we have five groups of -3  which is   (5)(-3) = -15

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 70

Read/Work through the  Investigate  section on Page 70 in your textbook.

You may not have a partner to work with.  
No worries!  
You can use what you learned in the previous lesson to fill in the table, and LOOK for patterns!

Here is a link to a table you can download and print to do the Investigation.
(not exactly like the one in the text, but I am sure you will get the idea!)

Answer  (a completed table, don’t look till you DO the Investigation!)

Connect

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

TEXT Page 71

Read/Work through the  Connect  section on Page 71 in your textbook.

Even if you KNOW you are going to watch the video, READING this section is still important.

Getting the same information in multiple ways can help with understanding.

Watch

VIDEO    Properties of Multiplication

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 Page 72

Work through Example 1 on Page 72 in your textbook.

Watch

Video Tutorial

Example 2

TEXT Page 72

Work through Example 2 on Page 72 in your textbook.

Watch

Video Tutorial

Example 3

TEXT Page 72

Work through Example 3 on Page 72 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 6,    the textbook just says to “find each product”.
There is NO VALUE in simply using your calculator.
At the LEAST, use your integer multiplication rules to find the sign of the answer FIRST!
Note that in EVERY QUESTION, one of the integers is a multiple of ten  (1 x 10,  2 x 20, 3 x 10, etc.)
In my video,  I will use “long multiplication” to find the products.

Question 7,    the textbook just says to “find each product”.
There is NO VALUE in simply using your calculator.
At the LEAST, use your integer multiplication rules to find the sign of the answer FIRST!
If you are so inclined, use the distributive property or an area model to find the product.
In my video,  I will use an area model 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 16", "Question 17", "Question 18", "Question 19", "Question 20"}, {"Question 21", , , , }})