#### Transcript Lesson 1-2 Order of Operations

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 (4 + 2) ÷ 3 Or 4 + (2 ÷ 3) 3 The same as this expression

1. 24 ÷ [6 − (2 ∙ 2)] 12 2. 1 + 3 3. 49 10 −2 4 2 + 6 ∙ 8 − 1 4. 17 2 6 + 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**

*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