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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/