Lesson 1-3
Week #6
Algebra •
Properties
Vocab
Distributive Property
Lesson Objective
Use properties of operations to solve problems.
Get Ready
https://wordwall.net/play/23096/940/806
recall
“How many Operations we have in Math?”
Prior
Knowledge
brainstorm familiar objects that have different properties such as:
being small, being heavy, or being able to float.
a baby
an elephant
a boat
just as these objects have certain characteristics or
properties, numbers and operations do too.
Ex: What property does 2, 18, and 24 share?
even numbers; divisible by 2
Prior
Knowledge
The Properties of Operations.
The properties are like “Rules of the Road”
They let you know what is legal or not, what you can and
can’t when you deal with addition, subtraction,
multiplication and division.
You need to memorize them.
Explore
The Properties of Addition and Multiplication.
1- Commutative Property
When you “commute” you go
Home
School
School
Home
The commutative property follows the same pattern:
3+5 = 5+3
8 = 8
Same answer!
3 X 5 = 3 X 4
15 = 15
Same answer!
Explore
So,
Order does NOT matter when we add or multiply .
Addition is commutative
Multiplication is commutative
Explore
The Properties of Addition and Multiplication.
2 - Associative Property
Frequently the group of people who live in a neighborhood form a
neighborhood “association”.
In math, a grouping symbol is the parentheses ( ).
The associative property tells us that we can group our numbers any way we
want to and still get the same answer.
(2+3)+7=2+(3+7)
5
+ 7 = 2+
12 = 12
10
Same answer!
(2X3)X7=2X(3X7)
6
X 7 = 2X
42 = 42
21
Same answer!
Explore
So,
Addition is associative
Multiplication is associative
explore
Question 
How do the Commutative Properties differ from the
Associative Properties?
The Commutative Properties apply to the order
of numbers.
The Associative Properties apply to the way numbers are grouped.
explore
Some people have difficulty keeping these two properties
straight.
If the numbers move (change order)
2+3=3+2
it’s the commutative property.
If the numbers stand still and the parentheses move
(2+3)+7=2+(3+7)
it’s the associative property.
explore
Question 
what about Subtraction and Division? Do they have
Commutative and Associative Properties ? No
5-3
?
3-5
2 ≠ 2
Different answer!
6÷3
?
2 ≠
3÷6
𝟏
𝟐
Different answer!
Explore
The Properties of Addition and Multiplication.
3- Identity Property
The sum of any number and 0 is that number.
3+0 =3
The product of any number and 1 is that number
3 X 1 = 3
Practice
Time to practice!
Go Math, pages 19 & 20
Go Math, page 19
Go Math, page 19
Go Math, page 20
Sort the review words into the Venn diagram.
factor
estimate
multiply
place value
quotient
product
Multiplication
Division