Math 20-2

Chapter 7 Quadratic Equations

Lesson 7.4    Solving Problems Using Quadratic Equations

GOAL

The goal of this lesson is stated at the top of page 425 in your textbook, and is also written below.
Keep this in mind as you work through the lesson material.

Analyze and solve problems that involve quadratic equations.

Explore...

Try to answer the question in the sidebar on page 425.

Watch

Video Tutorial

Learn About the Math

Information and Examples that present the ideas of this lesson

TEXT Pages 425 - 426

Read/Work through the Learn About the Math section on Pages 425-426 in your textbook.

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

How can you use the width of the arch to determine the height of the bridge?

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 number problem by graphing

TEXT Page 427

Work through Example 2 on Page 427  in your textbook.

Watch

Video Tutorial

Your Turn

The  method was better because it was quicker... but there is nothing wrong with “guess and test” to help understand a problem and possibly get an answer.

Example 3  Solving a problem by creating a quadratic model

TEXT Page 428

Work through Example 3 on Page 428 in your textbook.

Watch

Video Tutorial

Your Turn

I answered this what I did Example 3.

Example 4  Visualizing a quadratic relationship

TEXT Page 429

Work through Example 4 on Page 429 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 1,    Desmos model

Question 2,    Desmos model

Question 10,    I didn’t do a video for this one.

Question 12,    Desmos model

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 11", "Question 12", , , }})