1. Algebra – Ch. 9.8 Factor Special Trinomial Products
Mr. Deyo
a2 + 2ab + b2

2. Learning Target
By the end of the period, I will factor special trinomial products into their binomial roots.
I will demonstrate this by completing Four-Square notes and by solving problems in a pair/group activity.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 9.8 pg ) Section ______
TxtBk. Problems #3-23 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

4. Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer:
How are the two images similar?
How are they different?
How can these two images be related to math?
IMAGE 1
IMAGE 2

5. Vocabulary Perfect Squares Perfect Square Trinomial (2 examples)
Difference of Two Perfect Squares
Factor Completely (GCF)

6. Vocabulary Acquisition
Friendly Definition
Sketch
Wordwork
Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 1
Use Visuals
Introduce the word
Friendly Definition
Physical Representation
Use Cognates
Write friendly definition
Word List
Vocabulary Acquisition
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing

7. Find the product. 1. ( ) 2 + m – 3 2y 2. 12y – 4y2 9 + m2 4 ANSWER
Daily Warm-Up Exercises
For use with pages xxx–xxx
For use with pages 573– 578
Find the product. 1. ( ) 2 + m – 3 2y 2.
ANSWER
12y –
4y2 9 + m2 4

8. Example 1
Factor the difference of two squares Prob. A
18n2 8 1. – + 9 –
4x2 2.

9. a2 – b2 = ( a + b ) ( a – b) a2 + 2ab + b2 = (a + b)2
Notes:
Difference of Two Perfect Squares
a2 – b2 = ( a + b ) ( a – b)
Perfect Square Trinomials
a2 + 2ab + b2 = (a + b)2
a2 - 2ab + b2 = (a - b)2

10. [ ] 18n2 8 – = ( ) 9n2 4 2 – = 2 22 – 3n ( )2 ( ) 3n + 2 = – + 9 – 4x2
Example 1
Factor the difference of two squares Prob. A
18n2 8 1. –
Factor out common factor. = ( )
9n2 4 2 –
Write as = 2 [ ] 22 – 3n ( )2
9n2 4 b2 a2 ( ) 3n + 2
Difference of two squares pattern = – + 9 –
4x2 2. 9
4x2 – =
Rewrite as difference.
Write as 32 2x – = ( )2 b2 a2
Difference of two squares pattern ( ) 3 + 2x – =

11. 25m2 – 36 49y2 x2 – Example 1 Factor the polynomial. 1. 2.
Factor the difference of two squares Prob. A
Factor the polynomial. 1.
25m2 – 36
49y2 x2 2. –

12. ( ) 6 + 5m – = x2 – = 7y ( )2 ( ) 7y + x = – 25m2 – 36 62 5m – = ( )2
Example 1
Factor the difference of two squares Prob. B
Factor the polynomial. 1.
25m2 – 36
Write as 62 5m – = ( )2 b2 a2 ( ) 6 + 5m –
Difference of two squares pattern =
49y2 x2 2. –
Write as x2 – = b2 a2 7y ( )2 ( ) 7y + x
Difference of two squares pattern = –

13. Storm Check (Think, Write, Discuss, Report)
What is the pattern for factoring the difference of two perfect squares? The pattern for factoring the difference of two perfect squares looks like the following : _______________________________________ _______________________________________.

14. 12n n2 – 36 + ( )2 6 n – = = ( ) 2 n2 – 62 + 6 n • Example 2
Factor perfect square trinomials Problem A
Factor the polynomial.
12n n2 a. – 36 +
Write as = ( ) 2 n2 – 62 + 6 n •
2ab a2 b2 ( )2 6 n –
Perfect square trinomial pattern =

15. 4st 4s2 t2 + 12x 9x2 – 4 + Example 2 Factor the polynomial. b. c.
Factor perfect square trinomials Problems”B”
Factor the polynomial.
12x
9x2 b. – 4 +
4st
4s2 c. t2 +

16. 4st 4s2 t2 + 12x 9x2 – 4 + = ( ) 2 – 22 + 3x • )2 ( )2 2 3x – = = ( )
Example 2
Factor perfect square trinomials Problems”B”
Factor the polynomial.
12x
9x2 b. – 4 +
Write as = ( ) 2 – 22 + 3x •
2ab a2 b2 )2 ( )2 2 3x –
Perfect square trinomial pattern =
4st
4s2 c. t2 +
Write as = ( ) 2 + t2 t 2s •
2ab a2 b2 )2 ( )2 t 2s +
Perfect square trinomial pattern =

17. h2 + 4h + 4 ( )2 2 + h x2 + 12xy + 36y2 ( )2 6y x + Guided Practice 1.
Problems “B”
Factor the polynomial. 1. h2 + 4h + 4
ANSWER ( )2 2 + h 2. x2 +
12xy +
36y2
ANSWER ( )2 6y x +

18. Storm Check (Think, Write, Discuss, Report)
What is the pattern for a perfect square trinomial? The pattern for a perfect square trinomial looks like the following: _______________________________________ _______________________________________.

19. Vocabulary Perfect Squares Perfect Square Trinomial (2 examples)
Difference of Two Perfect Squares
Factor Completely (GCF)

20. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section ______ 3) Section ______
WkBk. Problems_________ Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

21. Learning Target
By the end of the period, I will factor special trinomial products into their binomial roots.
I will demonstrate this by completing Four-Square notes and by solving problems in a pair/group activity.