How to enter the room:

1. Greet Mrs. King at the door. A good class begins with mutual respect and recognition.

2. Retrieve a copy of the notes from the materials table. Complete “Math on the Mind” exercises.

3. Open your binder to the first section

4. Write today’s date at the top (9/11/2014)

5. Prepare to take notes

Write an algebraic expression for each phrase.

1. 7 less than 9

2. the product of 8 and p

3. 4 more than twice c

Define variables and write an equation to model each situation.

4. The total cost is the number of sandwiches times $3.50.

5. The perimeter of a regular hexagon is 6 times the length of one side.

9 – 7

8p

2c + 4

Let c = the total cost and s = the number of sandwiches; c = 3.5s

Let p = the perimeter and s = the length of a side; p = 6s

Math on the Mind:

Exponents and

Order of Operations

Algebra A

Unit 1, Lesson 2

Definition

Simplify: replace a numerical expression with its simplest name.

Definition

Exponent: tells how many times a number (the base) is used as a factor.

Order of Operations

PEMDASParenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Simplify 32 + 62 – 14 • 3.

= 32 + 36 – 14 • 3

Simplify the power: 62 = 6 • 6 = 36.= 32 + 36 – 42

Multiply 14 and 3.= 68 – 42 Add and subtract in

order from left to right.= 26 Subtract.

Example of the “long way”

62

Simplify 32 + 62 – 14 • 3.

= 26

Same Example:

Simplify 3(8 + 6) ÷ (42 – 10).

= 7

Practice:

Simplify 4[(2 • 9) + (15 ÷ 3)2].

= 172

Practice:

Practice:

5128253

9

Definition

Evaluate: substitute a given value for each variable into an algebraic expression and then simplify using the order of operations.

Evaluate 5x + 32 ÷ p for x = 2 and p = 3.

= 5 • 2 + 32 ÷ 3 Substitute 2 for x and 3 for p.

= 13

Practice:

Evaluate each expression for x = 11 and z = 16.

a. (xz)2

= 2816= 30,976

= (11 • 16)2 = 11 • 162

b. xz2

Practice:

At the end of the lesson:

1. Make sure your notes are secured in your binder in the notes section and in order.

2. Pay attention for any special instructions regarding the homework.

3. Write your name and the date on the worksheet as soon as you receive a copy.

Homework

Practice 1-2 worksheet

#1-13