Math 20-2

Chapter 4 Radicals

Lesson 4.4  Simplifying Algebraic Expressions Involving Radicals

GOAL

The goal of this lesson is stated at the top of page 204 in your textbook, and is also written below.
Keep this in mind as you work through the lesson material.

Simplify radical expressions that contain variable radicands.

Explore...

Try to answer the question in the sidebar on page 204.

You can check out this idea using this interactive example.

LINK

Watch

Video Tutorial

Learn About the Math

Information and Examples that present the ideas of this lesson

TEXT Pages 204 - 206

Read/Work through the Learn About the Math section on Pages 204-206 in your textbook.

Go through this material,  AS BEST YOU CAN,  before you view the video tutorials that follow.

Here is a link to the Desmos page I used in my video
LINK

Example 1   Working with radicals that contain variables

Video Tutorial

Apply the Math  (Examples)

Examples will give you TOOLS for solving problems, and also show you that there may be different ways to approach a question.

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the examples as models.

Example 2  Adding and subtracting algebraic expression involving radicals

TEXT Page 206

Work through Example 2 on Page 206  in your textbook.

Watch

Video Tutorial

Your Turn

There isn’t a Your Turn for this example

Example 3  Simplifying algebraic expressions involving radicals

TEXT Pages 206 - 207

Work through Example 3 on Pages 206 - 207 in your textbook.

Watch

Video Tutorial

Your Turn

I didn’t make a video for this one.

Example 4  Multiplying algebraic expressions involving radicals

TEXT Pages 208 - 209

Work through Example 4 on Pages 208 - 209 in your textbook.

Watch

Video Tutorial

Your Turn

I didn’t make a video for this one.

Example 5  Simplifying algebraic expressions involving radicals and division

TEXT Pages 209 - 210

Work through Example 5 on Pages 209 - 210 in your textbook.

Watch

Video Tutorial

Your Turn

I didn’t make a video for this one.

In Summary

Key Ideas and Need to Know 
Presents and 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!

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

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

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

Closing  A summary question that often asks YOU to explain ideas in your own words.

Extending questions offer enrichment and extension.

Notes

Question 7,    I didn’t do a video for this one.

Question 16,    I didn’t do a video 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 8", "Question 9", "Question 10"}, {"Question 11", "Question 12", "Question 13", "Question 14", "Question 15"}, { , "Question 17", , , }})