Math 20-1

Chapter 3 Quadratic Functions

Lesson 3.2   Investigating Quadratic Functions in Standard Form

Support Documents

Answer pages

You should be checking your work for EVERY question you do!

To make that easy, you can download the solutions files which have the answers for all the practice problems in the text.

You can print it, though it would be a lot of pages.

I think the best choice would be to keep the files handy, and have them open and ready every time you are working on math.

This saves you the time of flipping to the back of the book every time you need to check an answer.

FOLDER LINK

Formula Page

Math 20-1 is an academic course and you will be expected to memorize a lot of what you are covering in class.

Your teacher will have expectations for the things you will see on a formula page.

The link below is to formula page that you can download and print to use with your course.

You may or may not be allowed to use this on tests, and you may or may not be allowed to ADD your own notes to these pages.

Use of this page depends on your teacher.

What goes on this page is also subjective, so it is subject to change!

Formula Page

Focus on...

Lesson Objectives

•	identifying quadratic functions in standard form

•	determining the vertex, domain and range, axis of symmetry, maximum or minimum value, and x-intercepts and y-intercept for quadratic functions in standard form

•	graphing and analysing quadratic functions in applied situations

Focus on...  Activity

The FOCUS section introduces the main concept that will be covered in the lesson.

TEXT Page 163

Read/Work through the  Focus  section at the top of page 163 in  your textbook.

Note!   The path of a punted football will be ....?

A quadratic function

Investigate  Quadratic Functions in Standard Form

The investigation provides the background for the ideas presented in the lesson.

TEXT Pages 164 - 165

Read/Work through the  Investigate  section on Pages 164 - 165 in your textbook.

A list of materials  you need for the Investigation is given in the side bar.

Your work will be a lot more efficient if you PLAN for and GATHER these items BEFORE you start the Investigation!

You may not have other students to work with.  
No worries!  
If you are working on your own,  answer the questions, AS BEST YOU CAN, before you view the Tutorial that follows.
Once you have done that,  view the video for help with this section.

Part A:	Model the Path of a Football

Note!   This is a great investigation,  so if you do things as outlined in your textbook,   awesome.
For a more INTERACTIVE way to explore the same ideas,  you can use the online applet you can link to below.
The path of a punted football will be similar to the path of a basketball.  (any thrown or kicked ball will follow a parabolic path)

Video Tutorial Introduction  INV A

Geogebra Applet

Video Tutorial  (discusses the ideas of this section)   (INV B)

Here is the link to the Desmos page I used in the video

Part B:	Investigate a Quadratic Function of the form f(x) = a (x^2)+ b x + c

Video Tutorial  (standard form ↔ vertex form)   (INV C)

Video Tutorial Exploring using technology    (INV D)

Link the Ideas

Link the Ideas summarizes the math in the lesson.
A presentation of ideas connected to the lesson focus.

TEXT Pages 165 - 166

Read/Work through the  Link the Ideas  section on Pages 165 - 166 in your textbook.

Watch

Video Tutorial  (finding the vertex given standard form)
INV E

Examples

Examples will give you TOOLS for solving problems, and also show you that there may be different ways to approach a question.

Example 1  Identify Characteristics of a Quadratic Function in Standard Form

TEXT Pages 166 - 168

Work through Example 1 on Pages 166 - 168 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

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  Analysing a Quadratic Function

TEXT Pages 168 - 171

Work through Example 2 on Pages 168 - 171 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

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  Write a Quadratic Function to Model a Situation

TEXT Pages 171 - 172

Work through Example 3 on Pages 171 - 172 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

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

Key Ideas

Key Ideas 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!

Check Your Understanding    (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!

NOTE!
There are MANY practice questions.
In the interests of time,  I will be selectively skipping some of them.
You have access to the solutions, and you can use those for help as needed.
If the presentation seems straight-forward, I won’t create a video.
I’m hoping that as this course continues to be developed, that if MORE HELP is needed for a specific question,  the missing videos can be added at a later date.

Types of Practice Problems

Practice 
These questions allow you to check your understanding of the concepts. 
You can often do the first few questions by checking the Link the Ideas notes or by following one of the worked Examples.

Apply 
These questions ask you to apply what you have learned to solve problems. 
You can choose your own methods of solving a variety of problem types.

Extend 
These questions may be more challenging. 
Many connect to other concepts or lessons. 
They also allow you to choose your own methods of solving a variety of problem types.

Create Connections
These questions focus your thinking on the Key Ideas and also encourage communication. 
Many of these questions also connect to other subject areas or other topics within mathematics.

Mini Lab
These questions provide hands-on activities that encourage you to further explore the concept you are learning.

Notes

Question 1,    I didn’t do a video for this one.

Question 2,    I didn’t do a video for this one.

Question 5,    I didn’t do a video for this one.

Question 6,    I didn’t do a video for this one.

Question 7,    I didn’t do a video for this one.

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

Question 15,    I didn’t do a video for this one.

Question 19,    I didn’t do a video for this one.

Question 22,    I didn’t do a video for this one.

Question 24,    I didn’t do a video for this one.
A GREAT question, note that you will NEED to use the formula given in the notes directly under the question.
Projectile motion will be the same “anywhere”, moon, earth, sun, etc.  but the differing force of gravity will change the characteristics of the quadratic function.
Always a quadratic function, but with different intercepts, vertex, 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!

({{ ,  , "Question 3", "Question 4",  }, { ,  , "Question 8", "Question 9", "Question 10"}, {"Question 11",  , "Question 13", "Question 14",  }, {"Question 16", "Question 17", "Question 18",  , "Question 20"}, {"Question 21",  , "Question 23",  , "Question 25"}})

Question CC 26,    I didn’t do a video for this one.

({{"CC 27"}})