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

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.

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.

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. 1. Variable 2. Constant 3. Factor* TYPE AND SAVE it in 4. Coefficient your computer* 5. Implied coefficient 6. Terms of an expression 7. Product Property of Exponents Read lesson 2 and lesson 3. Complete Lesson 3 (1-30) VocabularyDefinitionDiagram/example 1. VariableA symbol, usually a letter, used to represent an unknown number. X + 12 = 50 ‘X’ is the variable.

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.

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?

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

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?

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

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} 1. How many odd numbers are in the set ~(L ∪ K)? 2. What are the odd numbers left in the set?

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}

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}

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

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 ?

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

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

Problem # 6 Answer A Buck an ear.

New Concept: Simplifying Expressions Using the Product Property of Exponents. Lesson 3 Note Taking: 3 5 * 3 4 = = 3 9 m 3 * m 2 * m 4 * n 6 * n 7 = m * n 6+7 = m 9 n 13 Product Property of Exponents If ‘k’ and ‘t’ are real numbers and x is not ‘0’, then X k * X t = X k+t

More Practice 1) 10xy 3 * 8x 5 y 3 = 2) (p 4 ) 4 = 3) (2b 2 ) 4 = 4) 7v 3 * 10u 3 v 5 * 8uv 3 = (worksheet with more practice if time allows)

Ticket out the door! Use the Product Property of Exponents to solve b 2 * c 2 * c * b 2 * b