1. Before the regular
lesson, we will
have a ...
Properties
Preview!

2. Distributive PROPERTy
Today we will . . .
Finish properties foldable.
Review properties already covered.
3. Practice the following NEW properties:
Distributive PROPERTy
&
Zero Property

3. First, let’s REVIEW . . . Identity Property: Inverse Property:
The answer STAYS the SAME!
All about the OPPOSITE!
EXAMPLES
Additive Identity
a + 0 = a
5 + 0 = 5
½ + 0 = ½
Multiplicative Identity
a ∙ 1 = a
5 ∙ 1 = 5
½ ∙ 1 = ½
Commutative Property:
Associative Property:
ORDER changes!
GROUPING changes!

4. DISTRIBUTIVE PROPERTY Everyone gets a cupcake!
Our FIRST NEW property is the. . .
DISTRIBUTIVE PROPERTY
GIVE
__________ to EVERY number in the group!
Everyone gets a cupcake!
EXAMPLES
3(x + 4) = 3(x) + 3(4)
4(x – 2) = 4(x) + 4(-2)
a(b + c) = ab + ac

5. ZERO PROPERTY OF MULTIPLICATION
Our LAST NEW property is the. . .
ZERO PROPERTY OF MULTIPLICATION
ZERO
Answer is ALWAYS __________ !
Zero ALWAYS wins!
EXAMPLES
20(0) = 0
abc(0) = 0
(0)(25y) = 0

6. Properties activity sheet
Got it ? …
Prove it !
Properties activity sheet
(Teacher will give instructions/ hand out activity sheets)

7. “Applying the properties”
today’s main lesson:
What:
“Applying the properties”
Why:
. . . so I can apply the Identity, Inverse, Commutative, Associative, Distributive, and Zero properties.
How:
. . . by participating in lesson, taking ACCURATE notes, and completing homework !!

8. What is a practical reason for applying the properties of math
What is a practical reason for applying the properties of math? Provide an example (must use one of the properties covered in this unit).

9. Properties Review:

10. Together . . . Apply the properties: 1. (-4 + 0) + 20 -4 + 20 16
Look closely at the underlined parts of the following examples, and identify
which properties are being applied. Ask yourself . . .
What Changed ?
Together . . .
Distributing makes the math easier to do in our head! 1.
(-4 + 0) + 20 16
________________________ 2.
(-5)
0 + 15 15
_________________________ 3.
6 + 2(12 + 5)
6 + 34 40 4.
(0)
20 + 0 20 5.
50 + 7 57 6.
5(2 ∙ 9)
(5 ∙ 2) ∙ 9
10 ∙ 9 90
Identity of A.
Inverse of A.
Distributive
New grouping makes it easier to multiply in our head!
New order makes it easier to add in our head!
Zero Prop. of M.
Commutative of A.
Associative of M.

11. On Your Own . . .
Distributing makes the math easier to do in our head! 1.
( ) + 7
23 + (13 + 7) 43
_________________________ 2.
4(2 + 20)
8 + 80 88 3.
48 ∙ ( ∙ )
48 ∙ 1 48 4.
(8)(3)(5)
(8)(5)(3)
(40)(3)
120 5.
28 + (12 ∙ 1) 40 6.
-50 + [ (⅔ xyz)(0) ]
-50
New grouping makes it easier to add in our head!
Inverse of M.
Associative of A.
Distributive
New order makes it easier to multiply in our head!
Commutative of M.
Identity of M.
Zero of M.

12. IXL: 7th Grade R.8 (in addition to a worksheet)
Wrap-it-Up/ Summary. . .
What is one real-life purpose for applying the properties
of math? Provide an example (must use one of the properties
covered in this unit).
Many times adding or multiplying in a different order; or creating a different
grouping makes the math easier to calculate in our heads!
For example:
Would be easier to calculate like this . . .
(99 + 1) + ( )
240
This uses BOTH the Commutative and Associative properties!
IXL: 7th Grade R.8 (in addition to a worksheet)

13. END OF LESSON