MS Algebra Ch. 9.3 Special Products of Polynomials. Mr. Deyo
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1 MS Algebra Ch. 9.3 Special Products of Polynomials Mr. Deyo
2 Learning Target By the end of the period, I will identify and apply the pattern of the square of a binomial as well as the sum and difference pattern in order to multiply binomials. 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 9.3 Pg ) Section TxtBk. Problems 9, 11, 15, 19 Notes Copied on blank sheet 27, 39, 43, 47 of paper in Binder? Solved and Put in Binder? Table of Contents Date Description Date Due
4 Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer: 1. How are the two images similar? 2. How are they different? 3. How can these two images be related to math?
5 Vocabulary 1) FOIL (First, Outer + Inner, Last) 2) Polynomial 3) Binomial 4) Trinomial
6 Sketch DAY 2 1. Review word Friendly Definition Physical Representation 2. Draw a sketch Wordwork 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 Word List Friendly Definition DAY 1 1. Use Visuals 2. Introduce the word Friendly Definition Physical Representation 3. Use Cognates 4. Write friendly definition 5. Physical Representation DAY 5 1. Review the word Friendly definition Physical Representation Sentence 3. Write a sentence at least 2 rich words (1 action) correct spelling correct punctuation correct subject/predicate agreement clear and clean writing
7 Daily Warm-Up Exercises For For use use with with pages pages xxx xxx Find the product. 1. ( x + 7 ) ( x + 2 ) 2. ( 3x 1 ) ( 3x + 2 )
8 Daily Warm-Up Exercises For For use use with with pages pages xxx xxx Find the product. 1. ( x + 7 ) ( x + 2 ) ANSWER x 2 + 9x ( 3x 1 ) ( 3x + 2 ) ANSWER 9x 2 + 3x 2
9 Notes: Square of a Binomial (a + b) 2 = a 2 + 2ab + b 2 (a b) 2 = a 2 2ab + b 2 Sum and Difference Pattern ( a + b ) ( a b) = a 2 b 2
10 Example 1 Square of a binomial pattern Problem A Find the product. a. ( 3x + 4 ) 2 b. ( 5x 2y ) 2
11 Example 1 Square of a binomial pattern Problem A Find the product. a. ( 3x + 4 ) 2 = ( 3x ) ( 3x ) ( 4 ) = 9x x + 16 b. ( 5x 2y ) 2 = ( 5x ) 2 2 ( 5x ) ( 2y ) + ( 2y ) 2 = 25x 2 20xy + 4y 2
12 Guided Practice Problems B Find the product. 1. ( x + 3 ) 2 ANSWER x 2 + 6x ( 2x + 1 ) 2 ANSWER 4x 2 + 4x ( 4x y ) 2 ANSWER 16x 2 8xy + y 2 4. ( 3m + n ) 2 ANSWER 9m 2 + 6mn + n 2
13 Storm Check (Think, Write, Discuss, Report) Explain in your own words the pattern of squaring a binomial. For me, the pattern I see in squaring a binomial is.
14 Learning Target By the end of the period, I will identify and apply the pattern of the square of a binomial as well as the sum and difference pattern in order to multiply binomials. I will demonstrate this by completing Four Square Notes and by solving problems in a pair/group activity.
15 Home Work 1 2 3: 1) Class 4 Square Notes Put In Binder? 2) Section 3) Section TxtBk. Problems Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due
16 Example 2 Sum and difference pattern Problems A Find the product. a. ( t + 5 )( t 5 ) b. ( 3x + y ) ( 3x y )
17 Example 2 Sum and difference pattern Problems A Find the product. a. ( t + 5 )( t 5 ) = t = t 2 25 b. ( 3x + y ) ( 3x y ) = ( 3x ) 2 y 2 = 9x 2 y 2
18 Guided Practice Problems B Find the product. 5. ( x + 10 ) ( x 10 ) 6. ( 2x + 1 ) ( 2x 1 ) 7. ( x + 3y ) ( x 3y )
19 Guided Practice Problems B Find the product. 5. ( x + 10 ) ( x 10 ) ANSWER x ( 2x + 1 ) ( 2x 1 ) ANSWER 4x 2 1 x 2 7. ( x + 3y ) ( x 3y ) ANSWER 9y 2
20 Storm Check (Think, Write, Discuss, Report) With the sum and difference pattern of multiplying binomials, what happens to the some of the terms that you would usually see in the product? With the sum and difference pattern of multiplying binomials, I see that.
21 Learning Target By the end of the period, I will identify and apply the pattern of the square of a binomial as well as the sum and difference pattern in order to multiply binomials. I will demonstrate this by completing Four Square Notes and by solving problems in a pair/group activity.
22 Home Work 1 2 3: 1) Class 4 Square Notes Put In Binder? 2) Section 3) Section TxtBk. Problems Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due
23 Guided Practice Ticket Out Describe how you can use special products to find 21 2.
24 Guided Practice Ticket Out Describe how you can use special products to find ANSWER Use the square of a binomial pattern to find the product ( ) 2.
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