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

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.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 9.8 pg. 576 3) 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

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

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

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

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

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

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

[ ] 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 – =

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. –

( ) 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 = –

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 : _______________________________________ _______________________________________.

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 =

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 +

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 =

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 +

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: _______________________________________ _______________________________________.

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

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

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.