Order of Operations
Transcript of Order of Operations
![Page 1: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/1.jpg)
Order of OperationsMaureen Tront
![Page 2: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/2.jpg)
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
![Page 3: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/3.jpg)
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
![Page 4: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/4.jpg)
Tell me what you know about the Order of Operations
![Page 5: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/5.jpg)
Can you solve the equation?
4+8÷2=
![Page 6: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/6.jpg)
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!
![Page 7: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/7.jpg)
Good thing our dear Aunt Sally is here to help us out.
“Don’t forget to use the order of operations!”
![Page 8: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/8.jpg)
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!
![Page 9: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/9.jpg)
32 + 6 x (5+4) ÷ 3 - 7=
ParenthesesExponents
Multiplication
Division Addition
Subtraction
![Page 10: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/10.jpg)
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
![Page 11: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/11.jpg)
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
![Page 12: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/12.jpg)
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
![Page 13: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/13.jpg)
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
![Page 14: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/14.jpg)
You’ve worked so hard! I think it’s time for some fun!
![Page 15: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/15.jpg)
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
![Page 16: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/16.jpg)
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/
![Page 17: Order of Operations](https://reader030.fdocuments.net/reader030/viewer/2022032422/55a8bdb91a28ab8a0c8b4601/html5/thumbnails/17.jpg)
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/