Math 20-2

Chapter 7 Quadratic Equations

Lesson 7.3    Solving Quadratic Equations Using the Quadratic Formula

GOAL

The goal of this lesson is stated at the top of page 414 in your textbook, and is also written below.
Keep this in mind as you work through the lesson material.

Use the quadratic formula to determine the roots of a quadratic equation.

Explore...

Try to answer the question in the sidebar on page 414.

Watch

Video Tutorial

Learn About the Math

Information and Examples that present the ideas of this lesson

TEXT Pages 414 - 416

Read/Work through the Learn About the Math section on Pages 414-416 in your textbook.

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

If Ian uses all the crushed rock, how wide will the path be?

Example 1     Using the quadratic formula to solve a quadratic equation

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  Connecting the quadratic formula to factoring

TEXT Pages 416 - 417

Work through Example 2 on Pages 416 - 417 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  Determining the exact solution to a quadratic equation

TEXT Page 417

Work through Example 3 on Page 417 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  Solving a pricing problem

TEXT Pages 418 - 419

Work through Example 4 on Pages 418 - 419 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,    HERE is a link to the Desmos page with the graphs

Question 2,    I didn’t do a video for this one.
There are numerous websites that will show you the “step by step” solution using the quadratic formula.
Feel free to CHECK your work using those, but you NEED to do these steps yourself.
HERE is one website that will document the steps for you.

Question 4,    I didn’t do a video for this one.
Check out the website below for a “step by step” solver,  and OF COURSE,  do the question yourself FIRST, use this to check!
HERE is one website that will document the steps for you.

Question 6,    I didn’t do a video for this one.
Check out the website below for a “step by step” solver,  and OF COURSE,  do the question yourself FIRST, use this to check!
It works even when the answers are roots!
HERE is one website that will document the steps for you.

Question 9,    I didn’t do a video for this one.

Question 12,    I didn’t do a video for this one.

Question 13,    I didn’t do a video for this one.
A fantastic question, but well beyond the scope of this course.
Also,  this would be more like a project kind of question, with multiple parts, etc.

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!

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