Order of Operations

30
Order of Operation s ( ) + X - 4 3 ÷ Meet Aunt Sally

description

4 3. Order of Operations. ÷ . ( ). +. -. X. Meet Aunt Sally. In most languages, the meaning of words depend on the order: Example Sign the check Is not the same as Check the sign. - PowerPoint PPT Presentation

Transcript of Order of Operations

Page 1: Order of Operations

Order of Operations( ) +

X-

43 ÷

Meet Aunt Sally

Page 2: Order of Operations

In most languages, the meaning of words depend on the order:

ExampleSign the check

Is not the same as

Check the sign

Page 3: Order of Operations

When you make cereal, do you fill the bowl with milk or cereal first? Why? Turn to your neighbor and explain your thinking.

Page 4: Order of Operations

When you get dressed, do you put on your shoes or socks

first? Why?

Page 5: Order of Operations

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.

Page 6: Order of Operations

Compare your list with your neighbor’s list. Can you add

anything to your list?

Page 7: Order of Operations

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.

Page 8: Order of Operations

The Order of Operations tells us how to do a math problem with more than

one operation, in the correct order.

Page 10: Order of Operations

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?

Page 11: Order of Operations

Please Excuse My Dear Aunt Sally

This will help you to remember the order of operations.

Page 12: Order of Operations

Add + Subtract -

Multiply x Divide ÷

Please Excuse My Dear Aunt SallyPEMDAS

Parentheses ( ) Exponents 43

Page 13: Order of Operations

Please Excuse My Dear Aunt Sally

Parentheses ( )

Always do parentheses

1st.

Page 14: Order of Operations

Please Excuse My Dear Aunt Sally

Exponents 43Always do Exponents

2nd.

Page 15: Order of Operations

Multiply x Divide ÷

Please Excuse My Dear Aunt Sally

Do multiplication

and division 3rd, from left to

right.

Page 16: Order of Operations

Add + Subtract -

Please Excuse My Dear Aunt Sally

Do addition and subtraction 4th, from left to right.

Page 17: Order of Operations

Let’s Try Some

Problems!GET YOUR JOURNALS READY!!

Page 18: Order of Operations

PEMDAS14+2 - (9+1)14+2 - 10

16 - 106

Page 19: Order of Operations

PEMDAS3 x (9+1)3 x(10) 3 x 10

30

Page 20: Order of Operations

PEMDAS4+5 x (6-2)4+5 x 4

4+2024

Page 21: Order of Operations

PEMDAS6+ 10 x 3 -16

6+ 30 -1636 -16

20

Page 22: Order of Operations

PEMDAS64 ÷ (9 x 3-19)64÷(27 –19)

64 ÷ 88

Page 23: Order of Operations

PEMDASWhere would you put

your Parentheses ( ) to make this problem true?

6 x 8 - 5 = 186 x (8 - 5)= 186 x 3 = 18

Page 24: Order of Operations

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

Page 25: Order of Operations

PEMDAS

Get your whiteboards

ready! Math Frog

Page 26: Order of Operations

PEMDASNow we are going to

get in our math groups to work on a

worksheet.

Page 27: Order of Operations

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?

Page 28: Order of Operations

HOW CAN WE USE ORDER OF OPERATIONS

TO SOLVE THIS PROBLEM?

(3 x $8) + (2 x $20) + ($35 – 7)= x

$24 + $40 + $28 = $92

Page 29: Order of Operations

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?

Page 30: Order of Operations

Have fun doing the Order of Operations!