Math 20-2

Chapter 6 Quadratic Functions

Lesson 6.5   Solving Problems Using Quadratic Function Models

GOAL

The goal of this lesson is stated at the top of page 368 in your textbook, and is also written below.
Keep this in mind as you work through the lesson material.

Solve problems involving situations that can be modelled by quadratic functions.

Explore...

Try to answer the question in the sidebar on page 368.

Here  is the Desmos page I used in the video

Watch

Video Tutorial

Learn About the Math

Information and Examples that present the ideas of this lesson

TEXT Pages 368 - 369

Read/Work through the Learn About the Math section on Pages 368-369 in your textbook.

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

Drop Tower rides are a big thing, and an internet search will produce LOTS of hits.
Here is one video you can watch to get an idea of the context of this example.

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  Representing a situation with a quadratic model

TEXT Pages 370 - 372

Work through Example 2 on Pages 370 - 372 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 maximum problem with a quadratic function in standard form

TEXT Pages 372 - 373

Work through Example 3 on Pages 372 - 373 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  Determining a quadratic function that models a situation

TEXT Pages 374 - 375

Work through Example 4 on Pages 374 - 375 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 12,    THE LINK to the Desmos page with the parabola model

Question 13,    The Link   to the Desmos page with the parabola model

Question 14,    The Link   to the Desmos page with the parabola model

Question 17,    HERE is the link to the Desmos page with the graphs for this question

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", , }})