Lesson 1-1 Properties of Operations
SWBAT: Understand and apply the properties of addition and multiplication. They will also begin to use
and recognize math terms.
Vocab Words:
Product – ____________________________________________________________________________.
Sum – _______________________________________________________________________________.
Difference – __________________________________________________________________________.
Quotient – ___________________________________________________________________________.
Factor – _____________________________________________________________________________.
Properties of Addition:
Commutative Property of Addition – ______________________________________________________.
Ex: ① 5 + 9 = 14
② 18 + 7 + 2 = 18 + 2 + 7
9 + 5 = 14
so… 9 + 5 = 5 + 9
Associative Property of Addition – ________________________________________________________.
Ex: ① (9 + 5) + 4 = 14 + 4 = 18
② 3 + (7 + 5) = (3 + 7) + 5
9 + (5 + 4) = 9 + 9 = 18
so… (9 + 5) + 4 = 9 + (5 + 4)
 Notice how the numbers are still in the same spots, only the _________________ moved!
Identity Property of Addition – ___________________________________________________________.
Ex: 0 + 9 = 9
Properties of Multiplication:
Commutative Property of Multiplication – Changing the order of the ________________ does not
change the product.
Ex: ① 4 x 6 = 24
② 2 • 19 • 5 = 5 • 2 • 19
6 x 4 = 24
so… 4 x 6 = 6 x 4
Associative Property of Multiplication – Changing the ________________ of the numbers does not
change the product.
Ex: ① (4 x 6) x 2 = 24 x 2 = 48
② 4 • ( 8 • 25) = (4 • 8) • 25

4 x (6 x 2) = 4 x 12 = 48
so… (4 x 6) x 2 = 4 x (6 x 2)
Notice how the numbers are still in the same spots, only the parentheses moved!
Identity Property of Multiplication – __________________________________________________.
Ex: 4 x 1 = 4
Lesson 1-1 Properties of Operations
SWBAT: Understand and apply the properties of addition and multiplication. They will also begin to use
and recognize math terms.
Using the properties:
There are no properties for ____________________________________________________.
The reason why we use these properties is to help with ___________________. If a problem is hard,
you can change it using one of the above properties to an easier problem.
Ex: ① 32 + 28
= 32 + 8 + 20
= ( 32 + 8 ) + 20
= 40 + 20
= 60
②
36 + 25 + 34
③ 4 x 8 x 25
④ 50 x 7 x 2
Identify which property was used:
Determine if the Commutative Property, Associative Property or Identity Property of Addition and
Multiplication were used
① (3 + 7) + 5 = 3 + (7 + 5)
② 4 • 6 • 25 = 4 • 25 • 6
③ (3 • 4) • 2 = (3 • 2) • 4