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LEQ: How do you simplify exponential expressions using the Product Property of Exponents?

LEQ: How do you simplify exponential expressions using the Product Property of Exponents?. Title of the lesson: Lesson 3: Saxon Simplifying Expressions Using the Product Property of Exponents. Class: Title: Algebra 1 Honors Power Point Created by: Mrs. Rivera

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LEQ: How do you simplify exponential expressions using the Product Property of Exponents?

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  1. LEQ: How do you simplify exponential expressions using the Product Property of Exponents? Title of the lesson: Lesson 3: Saxon Simplifying Expressions Using the Product Property of Exponents. Class: Title: Algebra 1 Honors Power Point Created by: Mrs. Rivera srivera.simplifyingexpressions.pp

  2. Purpose: Review: • MA.912.D.7.1 Perform set operations such as union and intersection, complement, and cross product. New Concept: • Prerequisite for MA.912.A • MA.912.A.4.1 (highlight) Simplify monomials and monomial expressions using the laws of integral exponents. FYI: "Integral exponent" means the exponent is a whole number, that is integer.

  3. Ticket Out the Door! • Note: • Test will be assigned on Fridays and quizzes can happen at anytime without warning. You must study every night. • Reading the math book is one of the most important assignments in this class.

  4. Planners: Homework • Make a three column graphic organizer for the following vocabulary words. You can find these terms in Lesson 2 (Saxon Textbook) or glossary in the back of the book. • Ex. • Variable • Constant • Factor * TYPE AND SAVE it in • Coefficient your computer* • Implied coefficient • Terms of an expression • Product Property of Exponents • Read lesson 2 and lesson 3. • Complete Lesson 3 (1-30)

  5. Numbered Heads Together • Teammates work together to ensure all members understand; one is randomly selected to be held accountable. • STEPS: • Students number off. • Teacher poses a problem and gives think time. • Students lift up from their chairs to put their heads together, discuss and teach. • Students sit down when everyone knows the answer or has something to share. • Teacher calls a number. The student with that number from each team answers simultaneously, using a small white board. • Teammates celebrate students who responded.

  6. Problem # 1 The set G represents even numbers from 2 to 20. • G = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20} The set P represents multiples of 3 from 3 to 27. • P = {3, 6, 9, 12, 15, 18, 21, 24, 27} • How many elements are in the set G ∩ P?

  7. Problem # 1 - Answer • How many elements are in the set G ∩ P? 3

  8. Problem # 2 The set T represents several Taurine breeds of cattle • T = {Angus, Devon, Shorthorn, Texas Longhorn} The set Z represents several Zebu breeds of cattle. • Z = {Boran, Nelore, Ponwar} What is the total number of elements in the set T X Z?

  9. Problem # 2 - Answer • What is the total number of elements in the se T X Z? 12

  10. Problem # 3 Hint: The symbol ~ represents “not.” The zip code of a location consists of five digits chosen from the set Z shown below. • Z = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} The set L represents the digits in the zip code for Key Largo. • L = {3, 3, 0, 3, 7} The set K represents the digits in the zip code for Killarney. • K = {3, 4, 7, 4, 0} • How many odd numbers are in the set ~(L ∪ K)? • What are the odd numbers left in the set?

  11. Problem # 3 - Answer How many odd numbers are in the set ~(L ∪ K)? 3 What are the odd numbers left in the set? {1, 5, 9}

  12. Problem # 4 • Let A = {3, 6, 9, 12} and B = {2, 4, 6, 8}. Which of the following represents the union of A and B? • A. {6} • B. { 2, 3, 4, 8, 9,12 } • C. { 2, 3, 4, 6, 8, 9,12 } • D. { 2, 4, 6, 8}

  13. Problem # 4 - Answer • Which of the following represents the union of A and B? • A. {6} • B. { 2, 3, 4, 8, 9,12 } • C. { 2, 3, 4, 6, 8, 9,12 } • D. { 2, 4, 6, 8} • The answer choice is C

  14. Problem # 5 Set D lists the ages of Diana’s grandchildren. D = {2, 5, 6, 8, 10, 11} Set K lists the ages of Karen’s grandchildren. K = {2, 10, 18} Set P lists the ages of Patrick’s grandchildren. P = {10, 11, 14} What is the greatest age in the set (K∪ P)∩ D ?

  15. Problem # 5 Answer What is the greatest age in the set (K∪ P)∩ D ? Answer: 11

  16. Problem # 6 • How much do pirates pay to get their ears pierced?

  17. Problem # 6 Answer • A Buck an ear.

  18. New Concept: Simplifying Expressions Using the Product Property of Exponents. Lesson 3 • Note Taking: • 35 * 34 = 35+4 = 39 • m3 * m2 * m4 * n6 * n7 = m3+2+4 * n6+7= m9 n13

  19. More Practice • 10xy3 * 8x5 y3 = • (p4)4 = • (2b2)4 = • 7v3 * 10u3 v5 * 8uv3 = (worksheet with more practice if time allows)

  20. Ticket out the door! Use the Product Property of Exponents to solve b2 * c2 * c * b2 * b

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