Math 20-2

Chapter 7 Quadratic Equations

Lesson 7.2    Solving Quadratic Equations by Factoring

GOAL

The goal of this lesson is stated at the top of page 405 in your textbook, and is also written below.
Keep this in mind as you work through the lesson material.

Solve quadratic equations by factoring

Factoring Flow Chart

I’ve created a flow chart to help with the factoring process you will be using in this lesson.
You are encouraged to download the file and print it,  and keep it handy.
(but this will depend on your teacher)

Factoring Flowchart

Explore...

Try to answer the question in the sidebar on page 405.

Watch

Video Tutorial

screen shot of question

Learn About the Math

Information and Examples that present the ideas of this lesson

TEXT Pages 405 - 407

Read/Work through the Learn About the Math section on Pages 405-407 in your textbook.

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

What is the maximum width of a 7.5 ft high crate that can enter the exhibit hall through the arch?

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  Solving a quadratic equation using a difference of squares

TEXT Page 408

Work through Example 2 on Page 408  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  Solving a quadratic equation with only one root

TEXT Page 409

Work through Example 3 on Page 409 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 4  Using reasoning to write an equation from its roots

TEXT Pages 409 - 410

Work through Example 4 on Pages 409 - 410 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 5  Describing errors in a solution

TEXT Page 410

Work through Example 5 on Page 410 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

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 15,    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 7", "Question 8", "Question 9", "Question 10"}, {"Question 11", "Question 12", "Question 13", "Question 14",  }, { , "Question 17", "Question 18", , }})