DO NOW 10.22.13

1. DO NOW 10.22.13 x a x b BASE: x n p + q BASE: n

2. NAME_________________________ PERIOD ____ 10.22.13 Learning Objective We will multiply and divide monomials . What are we going to do? CFU 1 Activate Prior Knowledge 7 8 7 Add 8 7 1 Numbers, Variables, or a Product of a Number and one or more Variables. Vocabulary How can we check our work? 5+4 9 2 2

3. Activate Prior Knowledge (Continued) 4 -8+3 -5 Add ___ 1 4 5 1 ___ 7+(-9) -2 x x 2 x

4. Activate Prior Knowledge (Continued) 6 6 10 a 6 a

5. Activate Prior Knowledge (Continued) -5 - 2 ___ 1 -7 7 8 11-(-1) 11+1 12

6. Activate Prior Knowledge (Continued) 10-4 6 3 3 x x 8 11-3

7. NAME_________________________ PERIOD ____ 10.22.13 What are monomials ? CFU Skill Development / Guided Practice Multiplying and Dividing monomials . Multiplying and Dividing Monomials : 1 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. 1 1 2 1 3 1 Examples of Monomials: 1 Numbers, Variables, or a Product of a Number and one or more Variables. Vocabulary 1

8. NAME_________________________ PERIOD ____ 10.22.13 Skill Development/Guided Practice (continued) CFU Monomials can contain different types of parts. What are the names of these various parts? 2 . 2 4 (x x) x 77 Add 6 77x 2Coefficients tell us the quantity of each variable that we have. The monomial 2x tells us that we 2 times x Vocabulary 3 and -5 multiply What are my coefficients? Do I add these or multiply them? 7 2 5 ( 3 ) ( -5 ) ( x ) ( x ) -15 x and

9. Skill Development/Guided Practice (continued) “ I can use expanded notation or I can use a rule to solve when I have a base” 2x8 16 5 3x7 21 a 4x5 20 9x2 18 3 3 m m

10. Skill Development/Guided Practice (continued) “ I need to identify each term in the parenthesis as either a base or a coefficient” c What is my base? _____ What is my coefficient? _____ 3 3 4x3 12 27 c 2 5x2 2 10 2 16p q

11. Skill Development/Guided Practice (continued) “ I need to identify each term in the parenthesis as either a base or a coefficient” 2 6x2 12 4 x 16 x 3 4x3 2x3 12 6 3 a b 27a b

12. Relevance “ We can solve Algebra and Geometry problems that involve monomials” “What happens if we do not have common bases?” 4 2 4 2 4x4x4 2x2x2x2x2 2,048

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

14. Relevance (Continued) “ We can solve Algebra and Geometry problems that involve monomials” 7 6mn 7 6mn 7 6mn (Side x Side x Side) = Volume 7 6mn 7 6mn 3 3 7x3 3 21 216m n 3 21 216m n

15. NAME_________________________ PERIOD ____ 10.22.13 Skill Closure . . . . 2 3 5 1 (3 5) (x x ) (8 3) (x x ) Word Bank _ exponent coefficient variable monomial common 5 15x 6 24x Describe the error and correct it. Answer: What did you learn today about multiplying and dividing monomials? (Pair-Share) Use words from the word bank.

16. Name:___________________________ 10.22.13 Independent Practice

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

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