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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 108/17/11 Variables and Expressions 208/18/11 Order of Operations 3
Order of Operations
3R3L
08/18/11
Order of Operations Reflection
08/18/11Observe,Question,Comment
Warm-Up:
Warm-UpSimplify the Numerical Expression
Order of Operations
3R3L
08/18/11
Order of Operations Reflection
08/18/11Observe,Question,Comment
Warm-Up: Standard:
Number Sense 1.2: Add, subtract, multiply, and divide rational numbers.
CA Content Standard
Order of Operations
3R3L
08/18/11
Order of Operations Reflection
08/18/11Observe,Question,Comment
Warm-Up: Standard:
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
Objective
Order of Operations
3R3L
08/18/11
Order of Operations Reflection
08/18/11Observe,Question,Comment
Warm-Up: Standard:
Objective:
Vocabulary:
Is a rule use to clarify which procedures should be performed first in a given numerical or algebraic expression.
VocabularyOrder of Operations
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?
Let’s Think About This…
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.
Order of Operations
Order of Operations
PE
MD
AS
Order of Operations
3R3L
08/18/11
Order of Operations Reflection
08/18/11Observe,Question,Comment
Warm-Up: Standard:
Objective:
Vocabulary:
Notes/Examples:
1. 4 + 15 ÷ 3 9
2. 8 – 2 • 3 2
3. 35 ÷ 7 – 2 3
4. 3 + 6 × 4 27
Simplifying Expressions
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
Using the Order of Operations
Is this expression
The same as this expression(4 + 2) ÷ 3Or4 + (2 ÷ 3)
Let’s Just Observe
1. 12
2. 3
3. 49
4. 17
Simplifying with Grouping Symbols
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.
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?
Word Problems
BrainPop Improper Fractions Break Time!
Order of Operations
3R3L
08/18/11
Order of Operations Reflection
08/18/11Observe,Question,Comment
Warm-Up: Standard:
Objective:
Vocabulary:
Notes/Examples:
Independent Practice:
Independent Practice
Order of Operations
3R3L
08/18/11
Order of Operations Reflection
08/18/11Observe,Question,Comment
Warm-Up: Standard:
Objective:
Vocabulary:
Notes/Examples:
Independent Practice:
Assignment #3:
Simplify each expression
Assignment #3
Interactive Practice