ms algebra – ch. 9.3 special products of...

MSAlgebra–Ch.9.3SpecialProductsofPolynomials

Mr.Deyo

Bytheendoftheperiod,Iwillidentifyandapplythepatternofthesquareofabinomialaswellasthesumanddifferencepatterninordertomultiplybinomials.

IwilldemonstratethisbycompletingFour‐SquareNotesandbysolvingproblemsinapair/groupactivity.

Learning Target

HomeWork1‐2‐3:1)Class4‐SquareNotesPutInBinder?

2)Section9.3Pg.537 TxtBk.Problems9,11,15,19 27,39,43,47 SolvedandPutinBinder?

TableofContentsDate Description DateDue

3)Section______NotesCopiedonblanksheetofpaperinBinder?

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?

1) FOIL(First,Outer+Inner,Last)

2) Polynomial

3) Binomial

4) Trinomial

Vocabulary

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

Friendly Definition Sketch

Wordwork Sentence

DAY 2 1. Review word

♦ Friendly Definition ♦ Physical Representation

2. Draw a sketch

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

DAY 1 1. Use Visuals

2. Introduce the word ♦ Friendly Definition ♦ Physical Representation

3. Use Cognates

4. Write friendly definition

5. Physical Representation

WordList1. 2. 3. 4.

Find the product.

For use with pages xxx–xxxDaily Warm-Up Exercises For use with pages 534–539

1.

2.

( )7+x ( )2+x

( )1–3x ( )2+3x

Find the product.

For use with pages xxx–xxxDaily Warm-Up Exercises For use with pages 534–539

1.

2.

( )7+x ( )2+x

( )1–3x ( )2+3x

ANSWER 9x+x2 14+

ANSWER 3x+9x2 2–

Notes:SquareofaBinomial

SumandDifferencePattern

(a+b)(a–b)=a2–b2

(a+b)2=a2+2ab+b2

(a‐b)2=a2‐2ab+b2

Square of a binomial pattern Problem “A”

Find the product.

Example 1

a. ( )24+3x

b. ( )22y–5x

Square of a binomial pattern Problem “A”

Find the product.

Example 1

a. ( )24+3x = (3x)2 + (3x)2 )4( + 42

= 9x2 + 24x + 16

b. ( )22y–5x = (5x)2 – (5x)2 )2y( + )22y(

= 25x2 – 20xy + 4y2

Guided Practice Problems “B”

Find the product.

1.( )23+x ANSWER x2 + 6x + 9

2. ( )21+2x ANSWER 4x2 + 4x + 1

3.( )2y–4x ANSWER 16x2 – 8xy + y2

4. ( )2n+3m ANSWER 9m2 + 6mn+n2

StormCheck(Think,Write,Discuss,Report)

Explaininyourownwordsthepatternofsquaringabinomial.

Forme,thepatternIseeinsquaringabinomial

is_____________________________________

_______________________________________

_______________________________________.

Learning Target




2)Section______ TxtBk.Problems_________ SolvedandPutinBinder?



Sum and difference pattern Problems “A”

Find the product.

Example 2

a.( )5+t ( )5–t

b. ( )y+3x ( )y–3x

Sum and difference pattern Problems “A”

Find the product.

Example 2

a.( )5+t ( )5–t

= (3x )2 – y2

= 9x2 – y2

= 25–t2

= 52–t2

b. ( )y+3x ( )y–3x


Find the product.

5.( )10+x ( )10–x

6. ( )1+2x ( )1–2x

7. ( )3y+x ( )3y–x


Find the product.

5.( )10+x ( )10–x ANSWER 100–x2

6. ( )1+2x ( )1–2x ANSWER 1–4x2

7. ( )3y+x ( )3y–x ANSWER 9y2–x2

StormCheck(Think,Write,Discuss,Report)

Withthesumanddifferencepatternofmultiplyingbinomials,whathappenstothesomeofthetermsthatyouwouldusuallyseeintheproduct?

Withthesumanddifferencepatternofmultiplyingbinomials,Iseethat____________

_______________________________________

_______________________________________.

Learning Target




2)Section______ TxtBk.Problems_________ SolvedandPutinBinder?



Guided Practice Ticket Out

Describe how you can use special products to find 212.

Guided Practice Ticket Out

Describe how you can use special products to find 212.

ANSWER

Use the square of a binomial pattern to find the product . ( )21+20

ms algebra – ch. 9.3 special products of...

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