Symbols
What is the symbol to show "not a subset"
⊄
Addition can be modeled as 2 disjoint sets
Sets
If a,b,and c are any three whole numbers, then a+(b+c) = (a+b) + c
Associative Property
Which property is shown
3+4
Closure Property
1. start with 8 objects (dollars)
2. take away 5 objects
3. how many objects are left
take away model
Use one-to-one correspondence to determine the ordering symbol
{Sade, Jade, Wade} ___ {1,2,3}
=
If A and B are any two disjoint sets for which a=n(A) and b=n(B), then the sum of a and b, written as a+b = n(A u B)
The Addition of Whole Numbers
If a is any whole number, then a+0=0
Additive identify property of zero
Which property is shown
2+5 = 5+2
Commutative
1. start with 5 objects (chapters)
2. how many more objects are needed to give a total of 8 objects
Missing-addened model
Use one-to-one correspondence to determine the sequence
{a,b} ___ {f,o,o,d}
<
The expression a +b, "a plus b" are called
Addens
a-b=c
Name a,b,and c
b is subtrahend
c is difference of a and b
Which property is shown?
(4+3) + 2 = 4 + (3+2)
Associative property
1. start with two collections, with 8 objects in one collection and 5 in the other
Comparison model
Use one-to-one correspondence to determine the ordering symbol
{apples, oranges} ___ {cow, duck, chicken, dog}
<
If a and b ae any two whole numbers, then a+b is a unique whole number
Closure Property
Which property is shown?
a + 0 = 0 + a = a
3 + 0 = 0 + 3 = 3
property of zero
1. move forward (to the right) 8 units (miles)
2. remove a jump to the right of 5 units
3. what is the distance from 0
number line model
If a and b are any two whole numbers, a + b = b +a
Commutative Property