algebra – ch. 9.4 dividing polynomials
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Algebra – Ch. 9.4 Dividing Polynomials. Mr. Deyo. Learning Target. By the end of the period, I will divide monomials and polynomials to simplify the given expressions. I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity. - PowerPoint PPT PresentationTRANSCRIPT
Algebra – Ch. 9.4 Dividing Polynomials
Mr. Deyo
By the end of the period, I will divide monomials and polynomials to simplify the given expressions.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Learning Target
Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 9.4 Pg. 545 3) Section ______TxtBk. Problems# 3-25 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of ContentsDate Description
Date Due
IMAGE 1 IMAGE 2
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?
Vocabulary1) Polynomial
2) Monomial
3) GCF
4) Divided by÷
DAY 3 and/or DAY 41. Review the word
¨ Friendly Definition¨ Physical Representation
2. Show how the word works¨ Synonyms/antonym¨ Word Problems¨ Related words/phrases¨ Example/non-example
Friendly DefinitionSketch
Wordwork Sentence
DAY 21. Review word
¨ Friendly Definition¨ Physical Representation
2. Draw a sketch
DAY 51. 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 11. Use Visuals
2. Introduce the word¨Friendly Definition¨Physical Representation
3. Use Cognates
4. Write friendly definition
5. Physical Representation
Word List1. 2. 3. 4.
Notes: Properties of Exponents
Powers of Powers Property:
Quotients of Powers Property:
A-B Problem A notes:
Powers of Powers Property:
Quotients of Powers Property:
Powers of Powers Property:
a6(a2) =
(a6)2 =
a6 =a2
A-B Problem A Check:
Powers of Powers Property:
Quotients of Powers Property:
Powers of Powers Property:
a6(a2) = a6+2 = a8
(a6)2 = a6(a6) = a12
a6 =a2
a6-2 = a4
A-B Problem B SOLVE!!
Powers of Powers Property:
Quotients of Powers Property:
Powers of Powers Property:
c12(c3) =
(c12)3 =
c12 =c3
A-B Problem B Check!!
Powers of Powers Property:
Quotients of Powers Property:
Powers of Powers Property:
c12(c3) = c12+3 = c15
(c12)3 = c12(c12) (c12) = c36
c12 =c3
c12-3 = c9
Storm Check (Think, Write, Discuss, Report)
Give an example of when do you add exponents:
____________________________________________Give an example of when you subtract exponents:
____________________________________________Give an example of when you multiply exponents:
____________________________________________
Notes:
Simplifying Fractions with Polynomials1)Factor Numerator
1) Common GCF2) Common Binomials ( ) ( )
2)Factor Denominator1) Common GCF2) Common Binomials ( ) ( )
3)Reduce / Simplify1) Remove (“Cancel’) Common Equal Binomials
from Numerator and Denominator2) Reduce Monomials by Variable & Exponent
A-B Problem A notes:
A-B Problem A Check:
A-B Problem B SOLVE!!
Simplify the expression:
A-B Problem B Check!!
Simplify the expression:
X (X - 2)(X + 4)(X - 2)
_X_ (X + 4)
= =
Storm Check (Think, Write, Discuss, Report)
When reducing rational expressions, what should I look for in the numerator and denominator?
When reducing rational expressions, I should
look for ________________________________
_______________________________________
_______________________________________.
Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 9.4 Pg. 545 3) Section ______TxtBk. Problems# 4-26 Even Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of ContentsDate Description
Date Due
1) Polynomial
2) Monomial
3) GCF
4) Divided by÷
Vocabulary
By the end of the period, I will divide monomials and polynomials to simplify the given expressions.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Learning Target
Ticket OUT. Simplify the expression:
Ticket OUT. Simplify the expression:
5X (X + 2)5X
X + 2 1
= =