ms algebra – ch. 9.3 special products of...
TRANSCRIPT
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
Bytheendoftheperiod,Iwillidentifyandapplythepatternofthesquareofabinomialaswellasthesumanddifferencepatterninordertomultiplybinomials.
IwilldemonstratethisbycompletingFour‐SquareNotesandbysolvingproblemsinapair/groupactivity.
HomeWork1‐2‐3:1)Class4‐SquareNotesPutInBinder?
2)Section______ TxtBk.Problems_________ SolvedandPutinBinder?
TableofContentsDate Description DateDue
3)Section______NotesCopiedonblanksheetofpaperinBinder?
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
Guided Practice Problems “B”
Find the product.
5.( )10+x ( )10–x
6. ( )1+2x ( )1–2x
7. ( )3y+x ( )3y–x
Guided Practice Problems “B”
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
Bytheendoftheperiod,Iwillidentifyandapplythepatternofthesquareofabinomialaswellasthesumanddifferencepatterninordertomultiplybinomials.
IwilldemonstratethisbycompletingFour‐SquareNotesandbysolvingproblemsinapair/groupactivity.
HomeWork1‐2‐3:1)Class4‐SquareNotesPutInBinder?
2)Section______ TxtBk.Problems_________ SolvedandPutinBinder?
TableofContentsDate Description DateDue
3)Section______NotesCopiedonblanksheetofpaperinBinder?
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