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Mr. Menjivar Pre-Algebra Development Table of Contents Date 08/15/11 08/17/11 08/18/11 Title Pre-Algebra Activity Training Variables and Expressions Order of Operations Page # 1 2 3 Observe, Question, Comment 08/18/11 Order of Operations Reflection 08/18/11 Order of Operations Warm-Up: 3L 3R 1. 8−2•2 2. 7×5+4 3. 12 ÷ 3 − 1 • 2 4. 21 − 3 5 + 2 Observe, Question, Comment 08/18/11 Order of Operations Reflection Warm-Up: 08/18/11 Order of Operations Standard: 3L 3R Number Sense 1.2: Add, subtract, multiply, and divide rational numbers. Observe, Question, Comment 08/18/11 Order of Operations Reflection Warm-Up: 08/18/11 Order of Operations Standard: Objective: 3L 3R To use the order of operations To use grouping symbols Why learn this: To find the value of an expression with more than one operation Observe, Question, Comment 08/18/11 Order of Operations Reflection Warm-Up: 08/18/11 Order of Operations Standard: Objective: Vocabulary: 3L 3R Is a rule use to clarify which procedures should be performed first in a given numerical or algebraic expression. Find the value of the expression 3 + 5 × 2 What answer do you get if you add first? What answer do you get if you multiply first? How does the order in which you do the operations affect your answer? To begin, work within parentheses ( ), then brackets [ ], and then braces { } from innermost and work outward. They are known as grouping symbols. ◦ For example: 2{1 + [4(2+1) + 3]} the answer is 32 Simplify exponents and roots working from left to right. Do multiplication and division, whichever comes first left to right. Do addition and subtraction, whichever comes first left to right. PE MA DS Observe, Question, Comment 08/18/11 Order of Operations Reflection Warm-Up: 08/18/11 Order of Operations Standard: Objective: Vocabulary: Notes/Examples: 3L 3R 1. 4 + 15 ÷ 3 9 2. 8 – 2 • 3 2 3. 35 ÷ 7 – 2 3 4. 3 + 6 × 4 27 1. 3 • 5 – 8 ÷ 4 + 6 19 2. 4 – 1 • 2 + 6 ÷ 3 4 3. 5 + 6 • 4 ÷ 3 – 1 12 4. 7 + 3 • (8 ÷ 4) 13 5. 2(15 – 9) • 9 108 Is this expression 4+2 3 The same as this expression (4 + 2) ÷ 3 Or 4 + (2 ÷ 3) 1. 24 ÷ [6 − (2 ∙ 2)] 12 2. 1+ 3 3. 2 + 6 ∙8 −1 49 4. 10 −2 4 2 6 + 17 7+8 3 A submarine starts at sea level. It dives 130 feet, rises 90 feet, and then dives by 3 times the first amount. Write and simplify the numerical expression. Mr. Menjivar deposit two checks for $30 and three checks for $15. Then Mr. Menjivar withdrew $20 to pay bills. What is Mr. Menjivar’s balance? Break Time! Observe, Question, Comment 08/18/11 Order of Operations Reflection 08/18/11 Order of Operations Warm-Up: Standard: Independent Practice: Objective: Vocabulary: Notes/Examples: 3L 3R Observe, Question, Comment 08/18/11 Order of Operations Reflection 08/18/11 Order of Operations Warm-Up: Standard: Independent Practice: Objective: Assignment #3: Vocabulary: Notes/Examples: 3L 3R Simplify each expression 8−2•2 12 ÷ 3 − 1 • 2 + 1 20 − 3 5 + 2 − 1