Mr. Menjivar. Pre-Algebra Development Table of Contents DateTitle Page # 08/15/11Pre-Algebra Activity Training1 08/17/11Variables and Expressions2 08/18/11Order.

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