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: