Order of OperationsMaureen Tront

Order of Operations

● CCSS.Math.Content.5.OA.A.1 Use parentheses,

brackets, or braces in numerical expressions,

and evaluate expressions with these symbols.

● CCSS.Math.Content.5.OA.A.2 Write simple

expressions that record calculations with

numbers, and interpret numerical expressions

without evaluating them. For example, express

the calculation “add 8 and 7, then multiply by 2”

as 2 × (8 + 7). Recognize that 3 × (18932 + 921)

is three times as large as 18932 + 921, without

having to calculate the indicated sum or product

I Can Use Algebra to Help Me Understand Math!I can use parentheses and brackets in expressions

I can write expressions I hear using mathematical symbols and the order of operations

Tell me what you know about the Order of Operations

Can you solve the equation?

4+8÷2=

Did you get 6? or Did you get 8?

Do the addition first4+8 ÷ 212÷ 26

Do the division first4+8÷24+48

Looks like we’ve gotten ourselves into a math pickle. Both of these answers can’t be right!

Good thing our dear Aunt Sally is here to help us out.

“Don’t forget to use the order of operations!”

P arentheses ( )E xponents 52

M ultiplication XD ivision ÷A ddition +S ubtraction -

In order to solve problems with more than one operation mathematicians came up with a rule called the order of operations.

Whichever comes first from left to right!

Whichever comes first from left to right!

32 + 6 x (5+4) ÷ 3 - 7=

ParenthesesExponents

Multiplication

Division Addition

Subtraction

Now let’s practice PEMDAS!

(8 + 7) ÷ 3 =

1. Parentheses (8+7) =152. There are no exponents3. No multiplication4. Divide 15 ÷ 3 = 55. No addition6. No subtraction

(8 + 7) ÷ 3 = 5

Now let’s practice PEMDAS!

(2×3)2-7 =

1. Parentheses (2x3)=62. Exponents 62=363. No multiplication4. No division5. No addition6. Subtraction 36-7=29

(2×3)2-7 = 29

Now let’s practice PEMDAS!

4x6-8÷4=

1. No Parentheses2. No Exponents 3. Multiplication 4x6=244. Division 8÷4=25. No addition6. Subtraction 24-2=22

4x6-8÷4=22

Are you ready for a tough one?32 + 6 x (5+4) ÷ 3 - 7=

Parentheses 32 + 6 x (5+4) ÷ 3 - 7=32+6 x 9÷3-7=

Exponents 32+6 x 9÷3-7=9+6x9÷3-7

Multiplication 9+6x9÷3-7=9+54÷3-7=

Division 9+54÷3-7=9+18-7=

Addition 9+18-7=27-7=

Subtraction 27-720

32 + 6 x (5+4) ÷ 3 - 7=20

You’ve worked so hard! I think it’s time for some fun!

How do you feel about the Order of Operations now?I can use parentheses and brackets in expressionsI can write expressions I hear using mathematical symbols and the order of operations

Check out these fun Order of Operations games!

http://www.math-play.com/Order-of-Operations-Millionaire/order-of-operations-millionaire.html

http://www.softschools.com/math/order_of_operations/games/

Sources

http://www.corestandards.org/

http://office.microsoft.com/en-us/images/

http://thirdgradedoodles.blogspot.com/

http://www.youtube.com/

http://icedteawithlemon.files.wordpress.com/2011/01/old-woman1.jpg

http://www.math-play.com/

http://www.softschools.com/