1. Find your seat and be ready for your Do Now
Good Morning !!
Find your seat and be ready for your Do Now

2. Do Now
Evaluate.
 3 – 7
2. 5(3 – 1) ÷ (3 + 2)
3. (4 + 1)2 – 8 ÷ 2
4. 12 ÷ 3  6 – 20 10 2 21 4

3. Objective:
SWBAT identify properties of numbers and use them to simplify numerical expressions.

4. Vocabulary Commutative Property Associative Property Identity Property
Distributive Property

5. Mental math means “doing math in your head.”
Many mental math strategies use number properties that you already know to make equivalent expressions that may be easier to simplify.

6. Rearranging The Order

7. Grouping

8. Adding Zero or
Multiplying by 1

9. Ex. 1: Identifying Properties of Addition and Multiplication
Tell which property is represented.
A. (2  6)  1 = 2  (6  1)
B = 3
C = 9 + 7
The numbers are regrouped.
Associative Property
Zero is being added.
Identity Property
The order of the numbers is switched.
Commutative Property

10. TOYO 1
Tell which property is represented.
A. 7  1 = 7
B = 4 + 3
C. (5  1)  2 = 5  (1  2)

11. Ex. 2: Using Properties to Simplify Expressions
Simplify each expression. Justify each step. A
B. 20  9  5 =
Commutative Property.
= 16 + (9 + 21)
Associative Property. =
Add.
= 46
20  9  5 = 20  5  9
Commutative Property.
= (20  5)  9
Associative Property.
= 100  9
Multiply.
= 900

12. Tell which property is represented.
1.)
2.)
3.)

13. You can use the Distributive Property to multiply numbers mentally by breaking apart one of the numbers and writing it as a sum or difference.

14. Ex. 3: Using the Distributive Property to Multiply Mentally
Use the Distributive Property to find 6(54).
Method 1:
Method 2:
6(50 + 4)
Break apart 54 as
Use the Distributive Property.
= (6  50) + (6  4) =
Multiply.
= 324
Add.
6(60 – 6)
Break apart 54 as 60 – 6.
= (6  60) – (6  6)
Use the Distributive Property. Multiply. =
Subtract.
= 324

15. Use the Distributive Property to find 8(19). Use both methods.
TOYO 3
Use the Distributive Property to find 8(19). Use both methods.
Method 1:
Method 2:

16. Use the Distributive Property and choose any method.
TOYO 4
Use the Distributive Property and choose any method.
A.)
B.)

17. Review for Mastery - Communicator
Identify the property shown and the missing number in each equation.
Identify the property shown.
Commutative Property (CP)
Associative Property (AP)
Identity Property (IP)
Distributive Property (DP)

18. Review for Mastery - Communicator
Use the distributive property to find each product.
(34)6
2(19)
5(31)