Download Order of Operations

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
