DO NOW 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 ____ Add How can we check our work?

Activate Prior Knowledge (Continued) Add 1 ___ 4 5 x 7+(-9) x -2 ___ 1 x 2

Activate Prior Knowledge (Continued) a a 6

Activate Prior Knowledge (Continued) ___ (-1)

Activate Prior Knowledge (Continued) x 11-3 x 8

What are monomials ? CFU NAME_________________________ PERIOD ____ Monomials are terms that are constants such as integers, variable terms, or the 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 : Numbers, Variables, or a Product of a Number and one or more Variables. Vocabulary Skill Development / Guided Practice Multiplying and Dividing monomials

Monomials can contain different types of parts. What are the names of these various parts? CFU NAME_________________________ PERIOD ____ 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 ) x 77x 6 Add 3 and -5 multiply ( 3 ) ( -5 ) and ( x ) 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” 2x x7 a x m 9x2 m 18

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? _____ c 3 3 4x3 27 c x2 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?” x2x2x2x2 4x4x4 2,048

Relevance (Continued) “ We can solve Algebra and Geometry problems that involve monomials” A = s (or Length x Width) = 2 of a Square. The area of a square is square units. What if the length of each side of the square was 6mn units? 6mn Area 6mn m n 2 36m n 2

Relevance (Continued) “ We can solve Algebra and Geometry problems that involve monomials” 6mn (Side x Side x Side) = Volume 6mn x3 216m n m n 3 21

NAME_________________________ PERIOD ____ Skill Closure What did you learn today about multiplying and dividing monomials? (Pair-Share) Use words from the word bank. Word Bank exponent coefficient variable monomial common Answer: Describe the error and correct it. (3 5) (x x ) x (8 3) (x x ) x 6

Independent Practice Name:___________________________

Independent Practice SHOW YOUR WORK HERE: LENGTH: _______ inches WIDTH: ________inches