Math 10C

Chapter 4 Exponents and Radicals

Lesson 42 Integral Exponents

Focus

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

TEXT Page 162

Read/Work through the  Focus  section at the top of page 162 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.

TEXT Page 163

Read/Work through the  Investigate  section on Page 163 in your textbook.

You CAN do this using “paper and pencil”.
You may wish to do this using the Desmos graph I have created.
See below to watch a short video on how you can do this Investigation online.

Desmos “how to”   (how to do the Investigation online)

Video Tutorial

Desmos

LINK
https://www.desmos.com/calculator/pvvqxhkke3

Watch

Video Tutorial  Questions 1 - 4   
Investigate A

Video Tutorial  Questions 5 - 6
Investigate B

Link the Ideas

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

TEXT Page 164

Read/Work through the  Link the Ideas  section on Page 164 in your textbook.

*** All of the “rules” of exponents are on the formula page I am using.   
The table you see on page 164 should be on whatever formula page you are using.

My formula page for exponents

I created my own page with laws and properties of exponents. 
This is a HUGELY important concept and I wanted to give you the best shot at connecting with these ideas.
I went through and made a video for all the parts of the formula page.
You can download that file and have it open so you can use the video links if you need help or reminders.
I then edited that file and took out the links so you have a one page sheet that you can PRINT and have handy for when you are doing your math.

With Video links    LINK
https://drive.google.com/file/d/1tB6EP9yfjpVmnHPbEGJYVyKBGk0aEj_9/view?usp=sharing

For PRINTING  (no links)   LINK
https://drive.google.com/file/d/1v2Ndu08zqwJ9o85beqmjPBBHGBnUWVl6/view?usp=sharing

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  Multiply or Divide Powers With the Same Base

TEXT Pages 164 - 165

Work through Example 1 on Pages 164 - 164 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  Powers of Powers

TEXT Pages 166 - 167

Work through Example 2 on Pages 166 - 167 in your textbook.

NOTE!   The solution for Example 2 in the textbook has a slightly different question than the actual question!
My video is for the question  as it appears in the example.

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  Apply Powers With Integral Exponents

TEXT Page 167

Work through Example 3 on Page 167 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.

Notes

Question 26,    “make up your own”,  I didn’t do a video for this one
.... and another comment.... the text uses the idea of “half life”,  but!   usually this involves powers of 1/2,  and NOT negative exponents!

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", "Question 25"}, { , "Question 27", , , }})