The document provides information about order of operations in math. It explains that order of operations is important to get the correct answer when a math problem contains multiple operations. It presents the mnemonic "PEMDAS" (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) as the standard order of operations. Several examples of applying order of operations to evaluate expressions are shown. The document is intended to teach students the proper order for solving expressions with multiple operations.
This power point may be used as a review for adding, subtracting, dividing, and multiplying fractions. There are video links to reviews on you tube and practice problems.
This power point may be used as a review for adding, subtracting, dividing, and multiplying fractions. There are video links to reviews on you tube and practice problems.
This presentation is based on 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
A graphical representation of all the properties of multiplication. This is the foundation for algebra. Unfortunately most students have poor conceptual understanding and therefore turn to rote learning math. And that's where the disaster begins.
This tutorial provides fundamental concepts such as:
- Absolute Values
- Basic Operations with Signed Numbers
- PEMDAS rule
in order to properly handle simplification of mathematical expressions.
This presentation is based on 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
A graphical representation of all the properties of multiplication. This is the foundation for algebra. Unfortunately most students have poor conceptual understanding and therefore turn to rote learning math. And that's where the disaster begins.
This tutorial provides fundamental concepts such as:
- Absolute Values
- Basic Operations with Signed Numbers
- PEMDAS rule
in order to properly handle simplification of mathematical expressions.
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Reference:
Nivera, G. C. (2013), Grade 7 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
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3. In most languages, the meaning
of words depend on the order.
Example:
Sign the check
is not the same as
Check the sign
4. When you make cereal, do you fill
the bowl with milk or cereal first?
Why?
5. When you get dressed, do you put on
your shoes or socks first? Why?
6. In our lives and in math,
we need to do things in a
certain order to make
sure they turn out right.
7. That is where the
ORDER OF
OPERATIONS
come into play!
8. Try to come up with two or
more examples from your
life. And share it with the
class.
9. Evaluate 7 + 4 • 3
You can get 2 different answers
depending on which operation you
did first. We want everyone to get
the same answer so we must follow
the order of operations.
Is your answer 33 or 19?
11. The Order of
Operations tells us
how to do a math
problem with more
than one operation,
in the correct order.
12. What does order of
operations mean?
• Order of operations is the order in which
you solve a math problem with many
components.
• The rule for order of operations is what we
called P.E.M.D.A.S.
• Don’t forget to solve the problem
from left to right!
13. Please Excuse
My Dear Aunt
Sally
This will help you
to remember the
order of
operations.
14. Important Vocabulary
• A numerical expression is a
mathematical phrase that includes only
numbers and operation symbols.
• When you simplify a numerical
expression, you are finding its value.
Numerical
Expressions
4 + 8 ÷ 2 ×
6
371 – 203 + 2 5,006 × 19
16. ORDER OF OPERATIONS
1. Parentheses - ( ) or [ ]
2. Exponents or Powers
3. Multiply and Divide (from left to right)
4. Add and Subtract (from left to right)
18. Exponents
•The second step of the order of
operations is exponents.
Ex. (3 + 2)2
= 25
52
= 25
Sol. 3 + (3 + 2)2
= 28
3 + 25 = 28
19. Multiplication and Division
Perform all multiplication & division from
left to right…
Multiplication and Division are married
Ex. 6 x 4 = 24
Sol. (3-2)2
x 4 = 4
1 x 4 = 4
20. Multiplication and Division
Perform all multiplication & division from
left to right…
Multiplication and Division are married
Ex. 8 ÷ 2 = 4
Ex. 8 ÷ 2 + (3 x 6) = 22
4 + 18 = 22
21. Addition and Subtraction
Perform all addition and subtraction from
left to right..
Addition and Subtraction are also married
Ex. 3 + 6 = 9
Ex. 3 + 4 ÷ 2 = 4
3 + 2 = 4
22. Addition and Subtraction
Perform all addition and subtraction from
left to right..
Addition and Subtraction are also married
Ex. 16 – 4 = 12
Ex. 18 – (2 + 2)2
= 2
18 - 16 = 2
37. IMPORTANT!!
ALWAYS UNDERLINE the portion of the
problem you are solving and BRING
DOWN the remaining parts of the
problem!
Your problem should
look like an upside
down triangle!!
38. WANT MOREWANT MORE
AND MORE?AND MORE?
Get yourself ready for the thirdGet yourself ready for the third
39. PEMDAS
Where would you put your
Parentheses ( ) to make
this problem true?
6 x 8 - 5 = 18
6 x (8 - 5)= 18
6 x 3 = 18
40. PEMDAS
Where would you put your
Parentheses ( ) to make this
problem true?
42 ÷ 2 x 3 - 5 = 2
42 ÷ (2 x 3) - 5 = 2
42 ÷ (6) - 5 = 2
42 ÷ 6 - 5 = 2
7 - 5 = 2
49. Objective:
• To give students a better understanding of the
order of operations.
▪Practice problems and quizzes are included to
assist in the lesson.
Audience:
•Fourth to sixth grade.
50. 1. substitute the given numbers for each
variable.
2. use order of operations to solve.
Evaluating a Variable Expression
To evaluate a variable expression:
