Shared Learning Target I will be able to ~ use the properties
that we discuss to simplify and solve numerical and algebraic
expressions. I will need to learn/recall ~ properties & order
of operations I will demonstrate my knowledge by ~ showing correct
work and answers on my classwork, clicker questions, and
homework.
Slide 3
WHAT IS A MATH PROPERTY? A shortcut They teach about the
character of numbers They may be used to rearrange an expression or
an equation to make the problem a little easier to work with limits
to the properties There are limits to the properties Some of them
can only be used in certain cases.
Slide 4
ADDITIVE IDENTITY What number can you add to anything and still
get the same number as the answer? Zero (0) ADDITIVE IDENTITY
PROPERTY So the ADDITIVE IDENTITY PROPERTY tells us n + 0 = n
Slide 5
MULTIPLICATIVE IDENTITY What number can you multiply by
anything and still get the same number as the answer? ONE (1)
multiplicative IDENTITY PROPERTY So the multiplicative IDENTITY
PROPERTY tells us n 1 = n
Slide 6
ADDITIVE INVERSE What number can you add to a number and get
zero for the answer? The numbers opposite! ADDITIVE Inverse
PROPERTY So the ADDITIVE Inverse PROPERTY tells us n + -n = 0 The
additive inverse undoes what you have.
Slide 7
MULTIPLICATIVE INVERSE
Slide 8
WHICH PROPERTY IS THIS AN EXAMPLE? 15 + (-15) = ? 1. Additive
Identity 2. Multiplicative Identity 3. Additive Inverse 4.
Multiplicative Inverse
Slide 9
WHICH PROPERTY IS THIS AN EXAMPLE? 257 + 0= ? 1. Additive
Identity 2. Multiplicative Identity 3. Additive Inverse 4.
Multiplicative Inverse
Slide 10
WHICH PROPERTY IS THIS AN EXAMPLE? 1. Additive Identity 2.
Multiplicative Identity 3. Additive Inverse 4. Multiplicative
Inverse
Slide 11
WHICH PROPERTY IS THIS AN EXAMPLE? 1. Additive Identity 2.
Multiplicative Identity 3. Additive Inverse 4. Multiplicative
Inverse
Slide 12
COMMUTATIVE PROPERTY Only for ADDITION & MULTIPLICATION n +
s = s + nns = sn What does this tell us? Its okay to switch the
order of the numbers when adding or multiplying NO COMBINING THE
OPERATIONS!
Slide 13
IS THIS THE COMMUTATIVE PROPERTY? 56 + 48 + 95 + 12 = 12 + 48 +
56 + 95 1. Yes 2. No
Slide 14
IS THIS THE COMMUTATIVE PROPERTY? A B C = B C A 1. Yes 2.
No
Slide 15
IS THIS THE COMMUTATIVE PROPERTY? 15 + 24 2 = 2 + 15 24 1. Yes
2. No
Slide 16
ASSOCIATIVE PROPERTY Only for ADDITION & MULTIPLICATION a +
(b + c) = (a + b) +ca(bc) = (ab)c What does this tell us? Its okay
to change how the numbers are grouped in the parenthesis NO
COMBINING THE OPERATIONS !
Slide 17
IS THIS THE ASSOCIATIVE PROPERTY? 500 + (12 + 480) = (500 + 12
+ 480) 1. Yes 2. No 0 of 20 Countdown 20
Slide 18
IS THIS THE ASSOCIATIVE PROPERTY? 56 + (48 + 95) + 12 = (56 +
48) + (95 + 12) 1. Yes 2. No 0 of 20 Countdown 20
Slide 19
IS THIS THE ASSOCIATIVE PROPERTY? (AB)C= A(BC) 1. Yes 2. No 0
of 20 Countdown 20
Slide 20
IS THIS THE ASSOCIATIVE PROPERTY? 15 + 24 2 = (15 + 24) 2 1.
Yes 2. No 0 of 20 Countdown 20
Slide 21
DISTRIBUTIVE PROPERTY May use ADDITION & Subtraction a(b +
c) = ab + aca(b - c) = ab - ac What does this tell us? We can take
the number outside the parenthesis and multiply it by each term
(number or variable) inside the parenthesis.
DISTRIBUTIVE PROPERTY ExampleAlgebraic ADDITION &
Subtraction 5(b + 2) = 5b + 5(2)8(x - 6) = 8x 8(6) 5(b + 2) = 5b +
108(x - 6) = 8x 48 How are these expressions equal? We dont know
what b or x are Thats okayits supposed to be like that!
Shared Learning Target I will be able to ~ use the properties
that we discuss to simplify and solve numerical and algebraic
expressions. I will need to learn/recall ~ properties & order
of operations I will demonstrate my knowledge by ~ showing correct
work and answers on my classwork, clicker questions, and
homework.
Slide 27
DO YOU FEEL THAT YOU HAVE MET THE TARGET OF: USE THE PROPERTIES
THAT WE DISCUSS TO SIMPLIFY AND SOLVE NUMERICAL AND ALGEBRAIC
EXPRESSIONS 1. Yes, I can see where the properties can/should be
used. 2. I understand what they say but need to see more examples.
3. I remember their names.