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Mastering Monomials: Multiplication and Division Techniques

This lesson focuses on simplifying monomials through multiplication and division. Students will learn the significance of coefficients and the process of keeping the bases the same while rewriting expressions in exponential form. The session will guide learners through practical examples to reinforce understanding and application of multiplying and dividing monomials. With interactive activities and targeted learning outcomes, participants will enhance their skills and confidence in handling polynomials. Homework assignments will solidify these concepts for effective comprehension.

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Mastering Monomials: Multiplication and Division Techniques

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  1. Starter #5 Tues. 12/11 Simplify (expand first) 3) 2) • 1) 4) 5)

  2. Learning Targets • #10: I can multiply monomials B: 1 2 3 A: 1 2 3 I have these questions: 7AF2.2

  3. Multiplying Monomials Coefficients: The number in front of the variable is the coefficient. Expand. Multiply coefficients. Keep the bases the same, rewrite in exponential form. = =

  4. Multiplying Monomials Simplify. =

  5. Multiplying Monomials Simplify. 1) 2) =

  6. Simplify Using What You Just Learned Expand, keep the base, rewrite in exponential form. 1) 4)

  7. That's all Folks! Take Out Your Learning Targets!!!

  8. LT # 10 More Multiplying Expressions Expand, Keep the bases, Rewrite in exponential form = 2xxx5xxxx = Simplify. = -3a4aaaaaaa = 9xxyy-2xyyyyy = = = 6aabccc5abbbbb =

  9. Learning Targets • #10: I can multiply monomials B: 1 2 3 A: 1 2 3 I have these questions: 7AF2.2

  10. Learning Targets • #11: I can divide monomials B: 1 2 3 A: 1 2 3 I have these questions: 7AF2.2

  11. Dividing Powers Simplify. x 5 = = x 2

  12. Dividing Powers Example: 3 5 4 5 5 5 5 = 5 5 5 5

  13. Dividing Powers Simplify 2 = = 3

  14. Dividing Powers Simplify Using What You Just Learned. 3) 1) a2b7c 2)

  15. That's all Folks! Take Out Your Learning Targets!!!

  16. LT #11 More Dividing Expressions 4 8x 5 8 4 = 4 = 2x 2 2 When dividing powerswith the same base, Expand, reduce, rewrite in exponential form.

  17. Homework: Pg. 182: # 1 – 18, 53 – 61 Copy Problem. Expand.

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