Do Now # 8 Mon, 9/23

• Casey told a secret to two friends and made them promise not to tell anyone. Too bad for Casey, each of those friends each told 2 more friends, and so on. If this continues, how many people find out about Casey’s secret in the eighth round?

HW Review / Dipstick Quiz

ORDER OF OPERATIONSLesson 1-4

In most languages, the meaning of words depend on the order:

ExampleSign the check

Is not the same as

Check the sign

When you make cereal, do you fill the bowl with milk or cereal first? Why?

When you get dressed, do you put on your shoes or socks

first? Why?

In our lives and in MATH, we need to do things in a

certain order to make sure they turn out right.

That is where the ORDER OF OPERATIONS come into play!

There is a lot going on here…where do we begin?

Left to Right10 + 8 x 6 ÷ 2²

Order of Operations10 + 8 x 6 ÷ 2²

Why use Order of Operations?

• When an expression has more than one operation, you must know which order to solve them in to arrive at the correct answer.

• To make sure everyone gets the same answer, we use the order of operations.

Order of OperationsDefinition

The order of operations are a specific set of steps to follow in multi-step problems to ensure that everyone gets the same

final answer.

Important Vocabulary

• A numerical expression is a mathematical phrase that includes only numbers and operation symbols.

• When you simplify a numerical expression, you are finding its value.

Numerical Expressions 4 + 8 ÷ 2 6 371 – 203 + 2 5,006 19

Four Rules for Order of Operations

1. Perform calculations inside parentheses first

2. Solve Exponents

3. Perform all multiplication & division from left to right…Multiplication and Division are married

4. Perform all addition and subtraction from left to rightAddition and Subtraction are married

Add + Subtract -

Multiply x Divide ÷

Please Excuse My Dear Aunt SallyPEMDAS

Parentheses ( ) Exponents 43

Please Excuse My Dear Aunt Sally

Parentheses ( )

Always do parentheses

1st.

Please Excuse My Dear Aunt Sally

Exponents 43Always do Exponents

2nd.

Multiply x Divide ÷

Please Excuse My Dear Aunt Sally

Next, solve all multiplication &

division from left to right

Add + Subtract -

Please Excuse My Dear Aunt Sally

Finally, end your problem with addition and

subtraction 4th, from left to right.

PEMDAS HOPSCOTCH

COMMON ERROR!Be Careful!

PEMDAS is only FOUR STEPS!P – E – MD – AS

It is NOT six steps!P – E – M – D – A – S

IMPORTANT!!

ALWAYS UNDERLINE the portion of the problem you are solving and BRING DOWN the

remaining parts of the problem!

Your problem should look like an upside down triangle!!

Example 1

11 + (15 - 3) x 2

Example 1

11 + (15 - 3) x 2

Example 26² - 13 + 5 x 2

Example 350 – ( 16 ÷ 22 ) + 3

Example 460 ÷12 + 4⁰ x ( 3 x 5)

Try on your own…

• 5 + 18 ÷ 3² - 1

• 3 x ( 12÷ 4) - 5⁰

Two More on Your Own

• 4² + 48 ÷ (10 – 4)

• 9 ÷ 3 + 6 x 2³

Order of OperationsBrochure!!!

• Tri-fold brochure – all 6 panels MUST be filled– Front panel requires title, picture, and name

• Must include step by step order of operations examples• 4 examples (minimum) ranging from simple to difficult (show

all steps of solving!)• One panel must define/describe PEMDAS acronym• 8.5 in by 11 in paper (or construction paper) ONLY• Can be done on computer• BE CREATIVE!!! Use clipart, drawings, or create a theme!• Due on: Wednesday, October 2nd

Independent Practice

Study Guide and Intervention WorksheetLesson 1-5

Independent Practice Review