1.1 Properties and PEMDAS.notebook
January 25, 2017
Agenda: Seats
Warm up
Syllabus/ Info
Notes
Jan 25­9:43 AM
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1.1 Properties and PEMDAS.notebook
January 25, 2017
Warm‐Up 01/25/17
Write a short paragraph about what you
want to do after high school? (4‐5 complete
sentences)
Jan 24­3:46 PM
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1.1 Properties and PEMDAS.notebook
January 25, 2017
01/25/17
1.1 Properties of Real Numbers &
Order of Operations
Essential Question: Describe how to use the properties of real numbers and the order of operations.
Essential Question: Describe how to use the properties of real numbers and
the order of operations.
Jan 24­3:46 PM
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1.1 Properties and PEMDAS.notebook
January 25, 2017
The Following should be a REVIEW!
Commutative Property
Associative Property
Identity Property
Inverse Property
Zero Product Property
Distributive Property
Jan 24­3:46 PM
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1.1 Properties and PEMDAS.notebook
January 25, 2017
Commutative Property
• Main Idea ‐
• Examples
ORDER of values does not matter!
a+b=b+a
ab = ba
Jan 24­3:46 PM
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1.1 Properties and PEMDAS.notebook
January 25, 2017
Associative Property
• Main Idea
• Examples
Grouping of values does not matter!
(a + b) + c = a + (b + c)
(ab)c = a(bc)
Jan 24­3:46 PM
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1.1 Properties and PEMDAS.notebook
January 25, 2017
Identity Property
• Main Idea
•
Examples
STAYS THE SAME!
a+0=a
a x 1 or 1a = a
Jan 24­3:46 PM
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1.1 Properties and PEMDAS.notebook
January 25, 2017
Inverse Property
• Main Idea
•
Examples
Using OPPOSITES to “cancel” a value!
a + (‐a) = 0
Jan 24­3:46 PM
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1.1 Properties and PEMDAS.notebook
January 25, 2017
Zero Product Property
• Main Idea
•
Examples
Multiplying by 0 always equals 0!
a(0) = 0
Jan 24­3:46 PM
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1.1 Properties and PEMDAS.notebook
January 25, 2017
Distributive Property
• Main Idea
•
Examples
MULTIPLYING a value to
an expression inside ( ).
a(b + c) = ab + ac
a(d ‐ e) = ad ‐ ae
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1.1 Properties and PEMDAS.notebook
January 25, 2017
The “Newbies”
• Reflexive Property
• Symmetric Property
• Transitive Property
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1.1 Properties and PEMDAS.notebook
January 25, 2017
Reflexive Property
• Main Idea
•
Examples
A value will always equal itself!
a=a
Jan 24­3:46 PM
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1.1 Properties and PEMDAS.notebook
January 25, 2017
Symmetric Property
• Main Idea
•
Examples
If a = b, then b = a
Jan 24­3:46 PM
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1.1 Properties and PEMDAS.notebook
January 25, 2017
Transitive Property
• Main Idea
•
Examples
If a = b and b = c,
then a = c
Jan 24­3:46 PM
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1.1 Properties and PEMDAS.notebook
January 25, 2017
Order of Operations
P
E
MD
AS
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1.1 Properties and PEMDAS.notebook
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P
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1.1 Properties and PEMDAS.notebook
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E
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1.1 Properties and PEMDAS.notebook
M
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D
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1.1 Properties and PEMDAS.notebook
A
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S
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1.1 Properties and PEMDAS.notebook
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1.1 Properties and PEMDAS.notebook
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Jan 24­4:01 PM
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