Course 2 Lesson 1

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Lesson 1-6 Pages 30-33
Algebra:
Properties
Lesson Check 1-5
What you will learn!
How to use addition and
multiplication properties to
solve problems.
Equivalent Expressions
Properties
Commutative Property
The order in which two
numbers are added or
multiplied does not
change the answer!
Commutative Property
3+7=7+3
3x7=7x3
Associative Property
The way in which three
numbers are grouped
when they are added or
multiplied does not
change the answer!
Associative Property
(2 + 5) + 8 = 2 + (5 + 8)
(2 x 5) x 8 = 2 x (5 x 8)
Identity Property
The sum of a addend
and zero is the addend.
The product of a factor
and one is the factor.
Identity Property
4+0=4
9x1=9
Distributive Property
To multiply a sum (or
difference) by a number,
multiply each addend by
the number outside the
parentheses.
Distributive Property
3(4 + 8) = (3 x 4) + (3 x 8)
What you really need to know!
The Big Question!
Did the numbers
move, or did the
group change?
Commutative Property of
Addition
2+3=3+2
Commutative Property of
Multiplication
2x3=3x2
Associative Property of
Addition
(5 + 8) + 2 = 5 + (8 + 2)
Associative Property of
Multiplication
(4 x 6) x 3 = 4 x (6 x 3)
Identity Property of Addition 5 + 0 = 5
0+9=9
Identity Property of
Multiplication
7x1=7
1 x 6 =6
Distributive Property
3(4 + 6) = 3•4 + 3•6
Word Bank: Lesson 1-6
Commutative
Associative
Identity
Distributive
Example 1
Commutative +
Name the property shown
by each statement.
24 + 5 = 5 + 24
Example 2
Associative x
Name the property shown
by each statement.
(11 x 4) x 8 = 11 x (4 x 8)
Example 3
8•5 + 8•7 ; 96
Use the distributive property to write
each expression as an equivalent
expression. Then evaluate the
expression.
8(5 + 7)
Example 4
2•6 + 9•6 ; 66
Use the distributive property to write
each expression as an equivalent
expression. Then evaluate the
expression.
(2 + 9)6
Example 5
6 x 150 ; $900
Mr. Harmon has budgeted
$150 per day for his hotel
and meals during his
vacation. If he plans to
spend six days on vacation,
how much will he spend?
Example 6
Identity x
Name the property shown
by each statement.
7=1x7
Example 7
Identity +
Name the property shown
by each statement.
7+0=7
Page 32
Guided Practice
#’s 4-10
Link to Pre-Made Lesson
Read:
Pages 30-31 with
someone at home
and study
examples!
Homework: Pages 32-33
#’s 12-26 even,
32-40 even, 43-57
Lesson Check 1-6
Page
565
Lesson 1-6
Lesson Check 1-6
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