Math 8

Unit 1 Square Roots and the Pythagorean Theorem

Math 814  Estimating Square Roots

Focus

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

TEXT Page 22

Read/Work through the  Focus  section at the top of page 22 in  your textbook.

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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 22

Read/Work through the  Investigate  section on Page 22 in your textbook.

DO your best to complete this Investigation, though I am not sure how you would tackle this, since the ideas of this activity is actually what the lesson is about!!

Try NOT to use your calculator!

The video tutorial will give you some ideas of how to tackle the question.

You can use GRID paper to create a number line as well as squares to help with the Investigation.

Need some grid paper to work with?
This folder has a few different varieties of grid paper you can use for this Investigation.
(I would use the 1 cm paper )

HINTS

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Video Tutorial

Connect

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

TEXT Page 23

Read/Work through the  Connect  section on Page 23 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.

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Video Tutorial

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 23 - 34

Work through Example 1 on Pages 23 - 24  in your textbook.

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Video Tutorial

Example 2

TEXT Page 24

Work through Example 2 on Page 24 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

For MANY of these questions, it will be helpful to have a list of perfect squares and their square roots.  (see below)
I don’t want to bore you by creating this every time,  YOU should be able to create this list quickly as needed, to help with these kinds of problems.

Question 18,  every classroom would potentially be different, I didn’t think most students would go to the trouble of measuring!
(and some of you might not be in a classroom!)  If you DID measure, and answered this question, ask your teacher to check your work!
No video created.

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