1. Do Now 9/18/13 Take out HW from last night.
Text p.14, #19-32 all, evens, 58 & 59
Copy HW in your planner.
Text p.16, #1-16 all
Quiz sections 1.1 & 1.2 Wednesday
In your journal, simplify the following expression. Use the distributive property when simplifying the last step.

2. Homework Text p.14, #19-32 all, 46-52 evens, 58 & 59
19) identity
20) associative
21) associative
22) commutative
23) identity
24) commutative
25) 1600
26) 44
27) 900
28) 58
29) 163
30) 117
31) 135
32) 70
46) 5; commutative
48) 3; distributive
50) 13; associative
52) 6; distributive
58) B
59) H

3. Objective
SWBAT review the order of operations and identify properties of rational numbers.

4. Section 1.1, Order of Operations
the rules established to simplify an expression involving more than one operation
10 ÷ 2 · 6
(4 + 7 · 6)²

5. 1 2 3 4 PEMDAS Order of Operations
Perform operations within grouping signs.
( ) parentheses, [ ] brackets, fraction bar 2
Evaluate powers. 3
Multiply and divide in order from left to right. 4
Add and subtract in order from left to right.

6. Section 1.2 “Properties of Numbers”
1). Commutative Property
2). Associative Property
3). Identity Property
4). Distributive Property

7. Think of it as COMMUTING to work!
Commutative Property
The order of numbers when you add or multiply numbers does not change the solution.
= a + b = b + a
2 · 3 = 3 · ab = ba
Think of it as COMMUTING to work!

8. Think of it as changing your GROUP of friends!
Associative Property
REGROUPING of numbers when adding or multiplying does not change the solution
Think of it as changing your GROUP of friends!
(2 + 3) + 4 = 2 + (3 + 4)
(a + 10) + 7= a + (10 + 7)
(5 · 6) · 10 = 5 · (6 · 10)
5(8c) = (5·8)c

9. Identity Property 5 + 0 = 5 3 x 1 = 3 “No change” property
Think of it as "I" LOOK IN THE MIRROR and see myself!
For addition,
the sum of any number
plus 0 is that number.
a + 0 = 0 + a = a
For multiplication,
the product of any number
times 1 is that number.
b · 1 = 1b = b

10. Distributive Property
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.
7(14)
= 7(10 + 4)
= 7(10) + 7(4) =
= 98

11. ZAP!!!
In your groups, select one problem at a time from the cup. Solve the problem. If you get it right, you receive a point and get to keep the stick.
Others should do the problem to see if the answer is correct.
If you pull the ZAP!! you lose all of your sticks! Try not to get Zapped!! Most points at the end wins!!
Reverse – switch the order in which you pick sticks
Skip – miss a turn
Give a Stick – give one of your sticks to another player
Take a Stick – take a stick from another player
Zap – put all your sticks back in the cup.

12. NJASK7 Prep
Homework
Text p.16, #1-16 all