Transcript Commutative Property - Bibb County Schools

Properties
 Pages 28-31
 Lesson 1-6
Essential Question
 What properties do I need to
understand in order to simplify and
evaluate algebraic expressions?
Definitions of the Four Properties:
(p 28)
 Commutative Property- property that states that
two or more numbers can be added or multiplied in
any order without changing the sum or product
 Associative Property- property that states that for
all real numbers the sum/product is always the same
regardless of their grouping
 Identity Property- property that states that the
product of 1 and any number is that number and
that the sum of zero and any number is that number
 Distributive Property- property that states if you
multiply a sum by a number, you will get the same
result if you multiply each addend by that number
and then add the products.
Property Foldable pg. 28
 Fold and label Cut your paper so it looks like the diagram
below.
 When you cut your paper it should have 4 flaps.
 As we go through the notes for today, write down the
information about each property under that flap.
Commutative
Property
Identity
Property
Associative
Property
Distributive
Property
Commutative Property
of Addition and Multiplication p. 28
Addition:
The order of adding does not change the sum.
Ex:
3+9=9+3
Order doesn’t matter!!!
4+1=1+4
Commutative Property
of Addition and Multiplication p. 28
Multiplication:
The order of Multiplying does not change the product.
Ex:
3x9=9x3
Order doesn’t matter!!!
4x1=1x4
Commutative Property Brain-Pop
 Commutative- the numbers are
moving (like commuting to schoolsame mileage either way)
 1 fact about the commutative
property:
Associative Property
of Addition and Multiplication p. 28
Addition:
Grouping numbers differently does not change the sum.
Ex:
2 + ( 3 + 4) = ( 2 + 3) + 4
(5 + 1) + 9 = 5 + (1 + 9)
Groups don’t matter!!!
Associative Property
of Addition and Multiplication p. 28
Multiplication:
Grouping numbers differently does not change the Product.
Ex:
2 ( 3 x 4) = ( 2 x 3) x 4
(5 x 1) x 9 = 5(1 x 9)
Groups don’t matter!!!
HINT:
A number right
outside a parenthesis
is a math short-cut
for saying multiply!
Associative Property Brain Pop

Associative- parentheses change what group the numbers
are a part of (like one part of the day you are friends with
one group and the other part of the day you are friends
with a different group)
 Write down 1 fact about the
associative property.
Identity Properties
Addition:
Adding 0 to a number does not change its value.
Ex:
2+0 =2
0 + 17 = 17
It’s still the same!
Identity Properties
Multiplication:
Multiplyind a number by 1 does not change its value.
Ex:
2x1 =2
1 x 17 = 17
It’s still the same!
Practice
Tell which property is represented.
A. 7  1 = 7
Identity Property
One of the factors is 1.
B. 3 + 4 = 4 + 3
Commutative Property
The order of the numbers is
switched.
C. (5  1)  2 = 5  (1  2)
Associative Property
The numbers are regrouped.
Distributive Property
Used when multiplication occurs upon a
parenthesis. Multiply everything inside by
the coefficient. (The coefficient is the
number outside.)
Ex.
2( 3 + 4) = 6 + 8 = 14
5(10 – 2) = 50 – 10 = 40
YOU MUST BE FAIR!
Distributive Property Brain-Pop
 Write down 1 fact about the
distributive property.
Practice Together…
Tell which property is represented.
1. 17  1 = 17
2. (12 + 14) + 5 = 12 + (14 + 5)
3. 2  16 = 16  2
4. 2( 3+ 4) = 6 + 8 = 14
Discovery School Video Clip-Properties
http://player.discoveryeducation.com/index.cfm?guidAssetId=C29E13A7-A1E6-49679EBD-7DE195A052B2&blnFromSearch=1&productcode=US
Closing
 List each property that we have
discussed and write down a trick to
help you remember that property.



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Associative
Commutative
Identity
Distributive