ms algebra – ch. 9.3 special products of...
TRANSCRIPT
![Page 1: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/1.jpg)
MSAlgebra–Ch.9.3SpecialProductsofPolynomials
Mr.Deyo
![Page 2: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/2.jpg)
Bytheendoftheperiod,Iwillidentifyandapplythepatternofthesquareofabinomialaswellasthesumanddifferencepatterninordertomultiplybinomials.
IwilldemonstratethisbycompletingFour‐SquareNotesandbysolvingproblemsinapair/groupactivity.
Learning Target
![Page 3: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/3.jpg)
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?
![Page 4: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/4.jpg)
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?
![Page 5: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/5.jpg)
1) FOIL(First,Outer+Inner,Last)
2) Polynomial
3) Binomial
4) Trinomial
Vocabulary
![Page 6: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/6.jpg)
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.
![Page 7: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/7.jpg)
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
![Page 8: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/8.jpg)
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–
![Page 9: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/9.jpg)
Notes:SquareofaBinomial
SumandDifferencePattern
(a+b)(a–b)=a2–b2
(a+b)2=a2+2ab+b2
(a‐b)2=a2‐2ab+b2
![Page 10: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/10.jpg)
Square of a binomial pattern Problem “A”
Find the product.
Example 1
a. ( )24+3x
b. ( )22y–5x
![Page 11: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/11.jpg)
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
![Page 12: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/12.jpg)
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
![Page 13: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/13.jpg)
StormCheck(Think,Write,Discuss,Report)
Explaininyourownwordsthepatternofsquaringabinomial.
Forme,thepatternIseeinsquaringabinomial
is_____________________________________
_______________________________________
_______________________________________.
![Page 14: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/14.jpg)
Learning Target
Bytheendoftheperiod,Iwillidentifyandapplythepatternofthesquareofabinomialaswellasthesumanddifferencepatterninordertomultiplybinomials.
IwilldemonstratethisbycompletingFour‐SquareNotesandbysolvingproblemsinapair/groupactivity.
![Page 15: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/15.jpg)
HomeWork1‐2‐3:1)Class4‐SquareNotesPutInBinder?
2)Section______ TxtBk.Problems_________ SolvedandPutinBinder?
TableofContentsDate Description DateDue
3)Section______NotesCopiedonblanksheetofpaperinBinder?
![Page 16: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/16.jpg)
Sum and difference pattern Problems “A”
Find the product.
Example 2
a.( )5+t ( )5–t
b. ( )y+3x ( )y–3x
![Page 17: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/17.jpg)
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
![Page 18: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/18.jpg)
Guided Practice Problems “B”
Find the product.
5.( )10+x ( )10–x
6. ( )1+2x ( )1–2x
7. ( )3y+x ( )3y–x
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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
![Page 20: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/20.jpg)
StormCheck(Think,Write,Discuss,Report)
Withthesumanddifferencepatternofmultiplyingbinomials,whathappenstothesomeofthetermsthatyouwouldusuallyseeintheproduct?
Withthesumanddifferencepatternofmultiplyingbinomials,Iseethat____________
_______________________________________
_______________________________________.
![Page 21: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/21.jpg)
Learning Target
Bytheendoftheperiod,Iwillidentifyandapplythepatternofthesquareofabinomialaswellasthesumanddifferencepatterninordertomultiplybinomials.
IwilldemonstratethisbycompletingFour‐SquareNotesandbysolvingproblemsinapair/groupactivity.
![Page 22: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/22.jpg)
HomeWork1‐2‐3:1)Class4‐SquareNotesPutInBinder?
2)Section______ TxtBk.Problems_________ SolvedandPutinBinder?
TableofContentsDate Description DateDue
3)Section______NotesCopiedonblanksheetofpaperinBinder?
![Page 23: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/23.jpg)
Guided Practice Ticket Out
Describe how you can use special products to find 212.
![Page 24: MS Algebra – Ch. 9.3 Special Products of Polynomialsmaestrodeyo.weebly.com/uploads/1/7/1/0/17102056/ch...Describe how you can use special products to find 212. Guided Practice Ticket](https://reader035.vdocuments.us/reader035/viewer/2022071105/5fdf7a946318d439ca1e1e17/html5/thumbnails/24.jpg)
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