The document discusses the order of operations in mathematics. It explains that the order of operations (PEMDAS) - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction - provides rules for which operations to perform first in a mathematical expression without changing the result. It provides examples of evaluating expressions using the proper order of operations and also provides links to online games for practicing order of operations skills.

1. Order of Operations
Maureen Tront

2. 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

3. 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

4. Tell me what you know about
the Order of Operations

5. Can you solve the equation?
4+8÷2=

6. Did you get 6? or Did you get 8?
Do the addition first
4+8 ÷ 2
12÷ 2
6
Do the division first
4+8÷2
4+4
8
Looks like we’ve gotten ourselves into
a math pickle. Both of these answers
can’t be right!

7. Good thing our dear Aunt Sally
is here to help us out.
“Don’t forget to use the
order of operations!”

8. P arentheses ( )
E xponents 52
M ultiplication X
D 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!

9. 32 + 6 x (5+4) ÷ 3 - 7=
Parentheses
Exponents
Multiplication
Division Addition
Subtraction

10. Now let’s practice PEMDAS!
(8 + 7) ÷ 3 =
1. Parentheses (8+7) =15
2. There are no exponents
3. No multiplication
4. Divide 15 ÷ 3 = 5
5. No addition
6. No subtraction
(8 + 7) ÷ 3 = 5

11. Now let’s practice PEMDAS!
(2×3)2-7 =
1. Parentheses (2x3)=6
2. Exponents 62=36
3. No multiplication
4. No division
5. No addition
6. Subtraction 36-7=29
(2×3)2-7 = 29

12. Now let’s practice PEMDAS!
4x6-8÷4=
1. No Parentheses
2. No Exponents
3. Multiplication 4x6=24
4. Division 8÷4=2
5. No addition
6. Subtraction 24-2=22
4x6-8÷4=22

13. 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 27-7
20
32 + 6 x (5+4) ÷ 3 - 7=20

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

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

16. 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/

17. 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/