Do Now 9/12/11 Take out HW from Friday. Text p. 9 & 10, #8-32 evens, #43-45 all Copy HW in your planner. Text p.14, #19-32 all, 46-52 evens, 58 & 59 Be ready to copy POTW #1.

Homework Text p. 9 & 10, #8-32 evens, #43-45 all 8) 37 10) 25 12) 9 14) 6 16) 2 18) $355 20) 16 22) 452 24) 100 26) < 28) = 30) < 32) 5 + (9 – 3) ÷ 2 = 8 43) C 44) H 45) D

Objective SWBAT identify properties of rational numbers and use them to simplify numerical expressions. In your notebook, explain in your own words the meaning of the word PROPERTY. Think of the word in a mathematical or science context. Then use the word PROPERTY in a math and science related sentence.

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

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

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

Using the Commutative and Associative Properties Mental Math…without writing down the problems solve these in your head using the commutative and associative properties. 48 + 25 + 12 4(7)(25) (48 + 12) + 25 (4)(25)(7) 60 + 25 = 85 100(7) = 700

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

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) = 70 + 28 = 98

Distributive Property 8(16) = 8(10 + 6) 24(6) = (20 + 4)6 = 8(10) + 8(6) = (20)6 + (4)6 = 80 + 48 = 120 + 24 = 128 = 144

Practice More Practice with Properties of Numbers

NJASK7 Prep Homework Text p.14, #19-32 all, 46-52 evens, 58 & 59