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Lesson 1-2: Order of Operations [pg. 8-12]

Lesson 1-2: Order of Operations [pg. 8-12]. Mr. Menjivar. Pre-Algebra Development Table of Contents. Date Title Page #. 08/15/11 Pre-Algebra Activity Training 1 08/17/11 Variables and Expressions 2 08/18/11 Order of Operations 3. 08/18/11. 08/18/11. Observe,

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Lesson 1-2: Order of Operations [pg. 8-12]

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  1. Lesson 1-2: Order of Operations [pg. 8-12] Mr. Menjivar

  2. Pre-Algebra Development Table of Contents Date Title Page # 08/15/11 Pre-Algebra Activity Training 1 08/17/11 Variables and Expressions 2 08/18/11 Order of Operations 3

  3. 08/18/11 08/18/11 Observe, Question, Comment Order of Operations Order of Operations Reflection Warm-Up: 3L 3R

  4. Warm-UpSimplify the Numerical Expression

  5. 08/18/11 08/18/11 Observe, Question, Comment Order of Operations Order of Operations Reflection Warm-Up: Standard: 3L 3R

  6. CA Content Standard • Number Sense 1.2: Add, subtract, multiply, and divide rational numbers.

  7. 08/18/11 08/18/11 Observe, Question, Comment Order of Operations Order of Operations Reflection Warm-Up: Standard: Objective: 3L 3R

  8. Objective • 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

  9. 08/18/11 08/18/11 Observe, Question, Comment Order of Operations Order of Operations Reflection Warm-Up: Standard: Objective: Vocabulary: 3L 3R

  10. VocabularyOrder of Operations • Is a rule use to clarify which procedures should be performed first in a given numerical or algebraic expression.

  11. Let’s Think About This… 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?

  12. Order of Operations • 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.

  13. Order of Operations PE AS MD

  14. 08/18/11 08/18/11 Observe, Question, Comment Order of Operations Order of Operations Reflection Warm-Up: Standard: Objective: Vocabulary: Notes/Examples: 3L 3R

  15. Simplifying Expressions 1. 4 + 15 ÷ 3 • 9 2. 8 – 2 • 3 • 2 3. 35 ÷ 7 – 2 • 3 4. 3 + 6 × 4 • 27

  16. Using the Order of Operations 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

  17. Let’s Just Observe Is this expression The same as this expression (4 + 2) ÷ 3 Or 4 + (2 ÷ 3)

  18. Simplifying with Grouping Symbols 1. • 12 2. • 3 3. • 49 4. • 17

  19. Word Problems • 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.

  20. Word Problems • 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?

  21. BrainPop Improper Fractions • Break Time!

  22. 08/18/11 08/18/11 Observe, Question, Comment Order of Operations Order of Operations Reflection Warm-Up: Standard: Objective: Independent Practice: Vocabulary: Notes/Examples: 3L 3R

  23. Independent Practice

  24. 08/18/11 08/18/11 Observe, Question, Comment Order of Operations Order of Operations Reflection Warm-Up: Standard: Objective: Independent Practice: Assignment #3: Vocabulary: Notes/Examples: 3L 3R

  25. Assignment #3 • Simplifyeach expression

  26. Interactive Practice

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