Algebra – Ch. 9.4 Dividing Polynomials

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

= =