Math 9

Unit 1 Square Roots and Surface Area

Lesson 912 Square Roots of Non-Perfect Squares

Getting Started

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

A quick review of the Pythagorean Theorem,  Video Tutorial

Focus

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

TEXT Page 14

Read/Work through the  Focus  section at the top of page 14 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 14

Read/Work through the  Investigate  section on Page 14 in your textbook.

Two ideas....

How could you answer this question with a drawing....?
How could you answer this question with a calculation....?

Watch

Video Tutorial

Connect

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

TEXT Pages 14 - 15

Read/Work through the  Connect  section on Pages 14 - 15  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 Tutorial A

Video Tutorial B

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  Estimating a Square Root of a Fraction

TEXT Pages 15 - 16

Work through Example 1 on Pages 15 - 16  in your textbook.

Watch

Video Tutorial  (introduction)

Video Tutorial  (Part A)

Video Tutorial  (Part B)

Video Tutorial  (Part C)

Video Tutorial  (Part D)

Example 2  Finding a Number with a Square Root between Two Given Numbers

TEXT Page 17

Work through Example 2 on Page 17 in your textbook.

Watch

Video Tutorial

Example 3  Applying the Pythagorean Theorem

TEXT Pages 17 - 18

Work through Example 3 on Pages 17 - 18  in your textbook.

Watch

Video Tutorial

Note,  in the video I stopped at my answer of 14.7 (m^2).... but the BETTER answer would have been to ROUND THAT ANSWER UP to make sure we have enough carpet.
I.E.  ,  in real life,   a contractor would never buy 14.7 (m^2)  of carpet,  they would get a little extra to be sure they had enough....

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.

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", }})