Math 10C

Chapter 5 Polynomials

Lesson 54 Factoring Special Trinomials

Focus

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

TEXT Page 238

Read/Work through the  Focus  section at the top of page 238 in  your textbook.

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 238 - 240

Read/Work through the  Investigate  section on Pages 230 - 240 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!

Answer the questions, AS BEST YOU CAN, before you view the Tutorials that follow.

Here is a link to a 1 cm grid file, that you can open, down load, and print.

Watch

Video Tutorial Question 1

Video Tutorial Question 2

Video Tutorial Question 3

Video Tutorial Question 4

Video Tutorial Question 5

Video Tutorial Question 6

Video Tutorial Question 7

Video Tutorial Question 8  (I answered this when I did Question 7)

Link the Ideas

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

TEXT Pages 240 - 241

Read/Work through the  Link the Ideas  section on Pages 240 - 241 in your textbook.

The information in the textbook might be enough for you,  and if that is the case, GREAT!
But... if you need more information,  you can use the video tutorials that follow.

Watch

Video Tutorial  Difference of Squares

Video Tutorials  Perfect Square Trinomials

PST A		LINK		https://vimeo.com/202665547

PST B		LINK		https://vimeo.com/202665928

PST C		LINK		https://vimeo.com/202666117

Files to print

These links were provided in the previous lesson, but here they are again if you want them....

Factoring Flowchart

It’s pretty much impossible to completely capture the process needed to factor a given polynomial.
This simple flowchart is an attempt to provide a bit of help and structure to help you with the process.
Open the file,  download, and print  (if you like)

You will need to check with your teacher about whether or not you can use this flow chart like a formula page on tests.  Hopefully if you use it enough you will memorize the branches and how to tackle a factoring problem systematically.

The Decomposition Method (steps)

A summary of the steps needed to factor using the decomposition method.
Use THIS LINK to open the file, download, and print  (if you like)

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  Factor a Difference of Squares

TEXT Pages 242 - 244

Work through Example 1 on Pages 242 - 244 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  Factor Perfect Square Trinomials

TEXT Pages 244 - 245

Work through Example 2 on Pages 244 - 245 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 10,    I didn’t do a video for this one.

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

Question 16,    I didn’t do a video for this one.
A GREAT question, but covered in detail in the lesson.
The idea would be if YOU can come up with a good explanation and make that work.

Question 25,    I didn’t do a video for this one.

Question 19,    I didn’t do a video for this one.
The question works,  but if we allow variables to equal zero, then the whole idea of the expression changes and that changes the whole point.   Certainly you can work on this and use the answer in the back of the book, but I feel like the whole premise of this problem is “wrong”.

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 13", "Question 14", "Question 15"}, { , "Question 17", "Question 18",  , "Question 20"}, {"Question 21", "Question 22", "Question 23", "Question 24",  }, {"Question 26", "Question 27", , , }})