DO NOW 10.22.13

BASE: x

BASE: n

x

n

a x b

p + q

1 Numbers, Variables, or a Product of a Number and one or more Variables.

Vocabulary

1

Activate Prior Knowledge

Learning Objective

We will multiply and divide monomials . What are we going to do?

CFU

NAME_________________________ PERIOD ____ 10.22.13

778 Add

78

25+4 29 How can we check our work?

Activate Prior Knowledge (Continued)

-8+3 4-5 Add

1___45

x7+(-9) x -2 ___1x2

Activate Prior Knowledge (Continued)

6610

aa6

Activate Prior Knowledge (Continued)

-5 - 2

-7 ___187

11-(-1)

11+1

12

Activate Prior Knowledge (Continued)

310-4 36

x 11-3 x 8

What are monomials ?

CFU

NAME_________________________ PERIOD ____ 10.22.13

Monomials are terms that are constants such as integers, variable terms, orthe product of a number and one (or more than one) variable.

Exponents apply to only to the base term, unless the monomial is grouped with parenthesis.

Exponent Rules such as Product Rule, Quotient Rule, and Power Rule apply to the base number only, not the Coefficient.

Multiplying and Dividing Monomials :

1

2

3

1 Numbers, Variables, or a Product of a Number and one or more Variables.

VocabularySkill Development / Guided Practice

Multiplying and Dividing monomials . 1

Examples of Monomials:1

1

1

1

Monomials can contain different types of parts. What are the names of these various parts?

CFU

NAME_________________________ PERIOD ____ 10.22.13

2 Coefficients tell us the quantity of each variable that we have. The monomial 2x tells us that we 2 times x

Vocabulary

2

Skill Development/Guided Practice (continued)

What are my coefficients? Do I add these or multiply them?

(x x ).2 4

77 x77x6 Add

3 and -5 multiply

( 3 ) ( -5 ) and ( x ) ( x )2 5 -15 x 7

Skill Development/Guided Practice (continued)

“ I can use expanded notation or I can use a rule to solve when I have a base”

2x8

516

3x7

a21

34x5 320 m9x2 m18

Skill Development/Guided Practice (continued)

“ I need to identify each term in the parenthesis as either a base or a coefficient”

What is my base? _____What is my coefficient? _____

c3

3 4x3

27 c 12

2 5x2 2

16p q 10 2

Skill Development/Guided Practice (continued)

“ I need to identify each term in the parenthesis as either a base or a coefficient”

4 x

2 6x2 16 x

12

3 a b

3 4x3 2x3 27a b

12 6

Relevance

“ We can solve Algebra and Geometry problems that involve monomials”

“What happens if we do not have common bases?”

4

2

4

2

2x2x2x2x2

4x4x4

2,048

Relevance (Continued)

“ We can solve Algebra and Geometry problems that involve monomials”

A = s (or Length x Width) =2of a Square.

The area of a square is square units.

What if the length of each side of the square was 6mn units?

6mn

6mn

Area 6mn

6mn

2

2 2 2

36m n

2 2

36m n

2 2

Relevance (Continued)

“ We can solve Algebra and Geometry problems that involve monomials”

6mn

6mn

6mn7

7

7

(Side x Side x Side) = Volume

6mn

76mn

7

3 3 7x3

216m n

3 21

216m n

3 21

NAME_________________________ PERIOD ____ 10.22.13Skill Closure

What did you learn today about multiplying and dividing monomials? (Pair-Share)

Use words from the word bank.

Word Bank

exponent

coefficient

variablemonomialcommon

Answer:

Describe the error and correct it.

_(3 5) (x x )

2 3

15x

5. . . .(8 3) (x x )

5 1

24x

6

Independent Practice Name:___________________________ 10.22.13

Independent Practice

SHOW YOUR WORK HERE:

LENGTH: _______ inches

WIDTH: ________inches

Tuesday, October 22, 2013Copy the following problems from the board and solve: