Math 20-2

Chapter 4 Radicals

Lesson 4.3  Multiplying and Dividing Radicals

GOAL

The goal of this lesson is stated at the top of page 191 in your textbook, and is also written below.
Keep this in mind as you work through the lesson material.

Multiply and divide numerical radicals.

Explore...

Try to answer the question in the sidebar on page 191.

Watch

Video Tutorial

Investigate the Math

Investigate an idea or problem, with a partner if possible.
The investigation provides the background for the ideas presented in the lesson.

TEXT Page 191

Read/Work through the Investigate section on Page 191 in your textbook.

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

?  How much green paint should Hugo buy?

Be sure to work through the investigation as best as you can, before you watch the video!!

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 1  Multiplying radicals with the same index

TEXT Page 192

Work through Example 1 on Page 192  in your textbook.

Watch

Video Tutorial  (using calculator approximations  EG 1A)

Video Tutorial  (using exponents, EG 1B)

Your Turn

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  Multiplying radicals using the distributive property

TEXT Page 193

Work through Example 2 on Page 193 in your textbook.

Watch

Video Tutorial

Your Turn

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  Dividing radicals by a monomial

TEXT Pages 194 - 196

Work through Example 3 on Pages 194 - 196 in your textbook.

Watch

You only need to work through a question once!
But,  there are different methods that have advantages and disadvantages,  so the videos show the same questions done using various methods.
Only by doing things in different ways can you develop tools that you will have available to help solve problems.

Video Tutorial   Benito

Video Tutorial   Yvette

Video Tutorial   Maria

Your Turn

There are so many paths to an answer with some of these questions,  it’s not easy to give a simple response here.
This really is best done as a discussion question!

The teacher’s notes give this as a possible summary.

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 12,    if you do an Internet search for “mass on a spring”  you will get about a “gazillion” hits.
Here is a YouTube video (totally optional, jump to about 3 minutes for the “good part”)  that illustrates the motion you get with a mass on the spring, and note the formula on the board!
(the same as what we are using in this question)

Question 22,    I didn’t do a video for this one.
A great question, but best done as a “discussion”.
The simple answer is that most of the “algebra” we need to do is exactly the same.

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 23", , }})