Order of Operations
Presentation
•
Mathematics
•
6th Grade
•
Practice Problem
•
Medium
Standards-aligned
Kristen Grothman
Used 47+ times
FREE Resource
17 Slides • 11 Questions
1
Order of Operations
GEMA
2
Why do we have Order of Operations?
When solving multi-step math problems, Order of Operations tells us what order to complete the steps in. If we didn't have the Order of Operations, we could get more than one answer for the same problem, which just doesn't make sense. The Order of Operations tells us what to do first, second, etc...
3
How can I remember the order?
You have probably learned PEMDAS in elementary school to help you remember the steps. In middle school, we use a different acronym that is a little more specific about what to do. We call this GEMA.
4
GEMA
Grouping
Exponents
Multiplication & Division from left to right
Addition & Subtraction from left to right
5
Grouping
Parentheses ( )
Brackets [ ]
Fraction Bar
6
Exponents
42
4 squared
5 cubed
3 to the 4th power
7
Multiplication/Division
LEFT TO RIGHT AS THEY APPEAR
8
Addition/Subtraction
LEFT TO RIGHT AS THEY APPEAR
9
Let's see what you can do!
10
Multiple Select
Which of the steps in GEMA require use of the left to right rule? (Hint: There is more than one answer.)
Grouping
Exponents
Multiplication/Division
Addition/Subtraction
11
Which of the steps in GEMA require use of the left to right rule?
Both MULTIPLICATION/DIVISION and ADDITION/SUBTRACTION are done from left to right as they appear. However, multiplication and division ALWAYS come before addition and subtraction.
12
Multiple Choice
Which operation would you do first to solve this problem?
Addition
Multiplication
Division
13
Which operation would you do first to solve this problem?
(3 + 3) ⋅ 4 ÷ 2You would do ADDITION first, because it is in parentheses, which is part of Grouping.
14
Multiple Choice
Calculate the answer to this expression.
12
2
6
9
15
6 ⋅ 4 ÷ 2
24 ÷ 2
12
12 is the answer!
16
Multiple Choice
Which operation would you do first to solve this problem?
3 + 3 ⋅ 4 ÷ 2
Addition
Multiplication
Division
17
Which operation would you do first to solve this problem?
3 + 3 ⋅ 4 ÷ 2You would do MULTIPLICATION first, because we multiply before adding, and in the expression, it comes before division from left to right.
18
Multiple Choice
Calculate the answer to this expression.
3 + 3 ⋅ 4 ÷ 2
12
9
8
18
19
3 + 12 ÷ 2
3 + 6
9
9 is the answer!
20
Multiple Choice
Which operation would you do first to solve this problem?
5 ⋅ (4 + 6) − 32
Addition
Multiplication
Subtraction
Exponents
21
Which operation would you do first to solve this problem?
5 ⋅ (4 + 6) − 32You would do ADDITION first, because it is GROUPED together by the parentheses, and we always do grouping first.
22
Multiple Choice
Calculate the answer to this expression.
5 ⋅ (4 + 6) − 32
15
20
41
44
23
5 ⋅ 10 − 32
5 ⋅ 10 − 9
50 − 9
41
41 is the answer!
24
Try a few more for me. You've got this!
25
Multiple Choice
Calculate the answer to this expression.
(8 + 5) ⋅ 2
18
15
21
26
26
Multiple Choice
Calculate the answer to this expression.
56 ÷ (2 ⋅ 4)
112
7
28
27
Multiple Choice
Calculate the answer to this expression.
80 − (8 + 4)
68
76
84
28
Poll
Stoplight Review: How are you feeling about Order of Operations?
Green Light: Full speed ahead!
Yellow Light: I'll get there with some practice.
Red Light: Stop! What are we doing?
Order of Operations
GEMA
Show answer
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