Using Order of Operations... Using Order of Operations and ...
Order of Operations
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Transcript of Order of Operations
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Order of Operations( ) +
X-
43 ÷
Meet Aunt Sally
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In most languages, the meaning of words depend on the order:
ExampleSign the check
Is not the same as
Check the sign
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When you make cereal, do you fill the bowl with milk or cereal first? Why? Turn to your neighbor and explain your thinking.
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When you get dressed, do you put on your shoes or socks
first? Why?
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In our lives and in math, we need to do things in a certain order to make
sure they turn out right.
Try to come up with two or more examples from your life? Write these examples in your math
journal.
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Compare your list with your neighbor’s list. Can you add
anything to your list?
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Now, in your math journal, make a list of what you
already know about Order of Operations when working with math problems. We will revisit
this list and add to it at the end of the lesson.
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The Order of Operations tells us how to do a math problem with more than
one operation, in the correct order.
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Would you like to hear a song about
Order of Operation?Song
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HERE IS A QUESTION TO THINK ABOUT DURING THIS LESSON.You go shopping and you buy 3
shirts that are $8.00 each. Then, you buy 2 pairs of jeans that are $20 each. You also buy a pair of
shoes that cost $35, but you have a coupon for $7 off them. How much money did you spend?
HOW CAN WE USE ORDER OF OPERATIONS TO SOLVE THIS PROBLEM?
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Please Excuse My Dear Aunt Sally
This will help you to remember the order of operations.
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Add + Subtract -
Multiply x Divide ÷
Please Excuse My Dear Aunt SallyPEMDAS
Parentheses ( ) Exponents 43
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Please Excuse My Dear Aunt Sally
Parentheses ( )
Always do parentheses
1st.
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Please Excuse My Dear Aunt Sally
Exponents 43Always do Exponents
2nd.
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Multiply x Divide ÷
Please Excuse My Dear Aunt Sally
Do multiplication
and division 3rd, from left to
right.
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Add + Subtract -
Please Excuse My Dear Aunt Sally
Do addition and subtraction 4th, from left to right.
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Let’s Try Some
Problems!GET YOUR JOURNALS READY!!
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PEMDAS14+2 - (9+1)14+2 - 10
16 - 106
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PEMDAS3 x (9+1)3 x(10) 3 x 10
30
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PEMDAS4+5 x (6-2)4+5 x 4
4+2024
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PEMDAS6+ 10 x 3 -16
6+ 30 -1636 -16
20
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PEMDAS64 ÷ (9 x 3-19)64÷(27 –19)
64 ÷ 88
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PEMDASWhere would you put
your Parentheses ( ) to make this problem true?
6 x 8 - 5 = 186 x (8 - 5)= 186 x 3 = 18
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PEMDASWhere would you put your
Parentheses ( ) to make this problem true?
42 ÷ 2 x 3 - 5 = 242 ÷ (2 x 3) - 5 = 2 42 ÷ (6) - 5 = 242 ÷ 6 - 5 = 2
7 - 5 = 2
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PEMDAS
Get your whiteboards
ready! Math Frog
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PEMDASNow we are going to
get in our math groups to work on a
worksheet.
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LETS GO BACK TO THIS PROBLEM FROM THE BEGINNING OF THE
LESSON.
You go shopping and you buy 3 shirts that are $8.00 each. Then, you buy 2 pairs of jeans that are $20 each. You also buy a pair of shoes that cost $35,
but you have a coupon for $7 off them. How much money did you
spend?
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HOW CAN WE USE ORDER OF OPERATIONS
TO SOLVE THIS PROBLEM?
(3 x $8) + (2 x $20) + ($35 – 7)= x
$24 + $40 + $28 = $92
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EXIT TICKETNow, in your math journal,
review your Order of Operations list and add any new information that you have learned.
1. Insert grouping symbols to make the number sentence true:
7 X 8 – 6 + 3 = 17
2. How does the order in which you do the operations affect your answer?
3. Why do we need to agree on an order of operations?
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Have fun doing the Order of Operations!