Mr. Menjivar

Date
08/15/11
08/17/11
08/18/11
Pre-Algebra Development
Table of Contents
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
Warm-Up:
Order of Operations
08/18/11
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:
Order of Operations
Standard:
08/18/11
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:
Order of Operations
Standard:
Objective:
08/18/11
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:
Order of Operations
Standard:
Objective:
Vocabulary:
08/18/11
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 M
D
A
S

Observe,
Question,
Comment
08/18/11
Order of Operations Reflection
Warm-Up:
Order of Operations
Standard:
Objective:
Vocabulary:
Notes/Examples:
08/18/11
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 +
10 −2

4
3
3.
2 + 6 ∙ 8 − 1

49
7+8 4.
2 6 +

17
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
Warm-Up:
Independent Practice:
Order of Operations
Standard:
Objective:
Vocabulary:
Notes/Examples:
08/18/11
3L 3R

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


Simplify each expression
 8 − 2 • 2
 12 ÷ 3 − 1 • 2 + 1
 20 − 3 5 + 2 − 1