Math 10C

Chapter 6 Linear Relations and Functions

Lesson 64 Functions

Getting Started

The content of this lesson is HUGE, and hugely important.

You may do just fine with just the information presented in the textbook.

I’ve made some video tutorials that go into a LOT more detail if you need it.

Totally optional, but if you need this help, PLEASE USE IT.

If you take any more math,  LOTS of it will be functions....

If you don’t “get this”,  it makes a LOT of things difficult in future classes.

Introduction to functions

LINK    https://vimeo.com/200545993

Function notation

LINK       https://vimeo.com/201439783

When is something NOT a function

Examples from mapping diagrams, set, table, and graphs

LINK	          https://vimeo.com/201772693

Focus

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

TEXT Page 305

Read/Work through the  Focus  section at the top of page 305 in  your textbook.

There are many examples of two quantities that might depend on each other in a particular way.
Your cell phone bill might depend on the number of texts in a  month.
The heating bill for a home depends on the amount of natural gas used.
The amount of hot water available in the morning depends on the length of time people have spent showering.
Etc.

Investigate

Investigate an idea or problem, with a partner if possible.
The investigation provides the background for the ideas presented in the lesson.

TEXT Pages 305 - 306

Read/Work through the  Investigate  section on Pages 305 - 306 in your textbook.

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.

Watch

Video Tutorial

Link the Ideas

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

TEXT Page 306

Read/Work through the  Link the Ideas  section on Page 306 in your textbook.

Watch

You may need more information than what is provided in the text.
Please use the video content you can link to in the “Getting Started” section of this lesson.

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  Determine Whether a Relation Is a Function

TEXT Pages 306 - 307

Work through Example 1 on Pages 306 - 307 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  Work With Function Notation

TEXT Page 308

Work through Example 2 on Page 308  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  Graphing Linear Functions

TEXT Pages 309 - 310

Work through Example 3 on Pages 309 - 310 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!

Types of Practice Problems

Practice questions require basic understanding of the ideas of the  lesson.

Apply questions will require you to dig deeper for a solution.

Extend questions offer enrichment and extension.

Create Connections questions connect the math to everyday contexts.

Mini Lab (optional)  your teacher may or may not have you do these.

Notes

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 15"}, { , "Question 17", "Question 18", , }})