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Characterized by finding all possible pairings between 2 or more sets of objects.
Characterized by repeatedly adding a quantity of continuous quantities. A specified number of times.
MEAUREMENTS
ex. 50mph for 3 hours.
Characterized by a product of two numbers representing the sides of a rectangular region such that the product represents the number of unit sized squares within the rectangular region.
There are 3 rows on a bus, there are 4 children in each row. How many children are there in the bus?
Speaks for itself.
If a is an element of w then a-0=a=0-a
Counter Example
a-0=a Let a=1 then 1-0=1
but 0-a doesn not equal a because 0-1=-1
If a is an element of w and b is an element of w
then a-b=b-a
Counter example
Let a=1 and b=3
a-b=-2 b-a=2
so a-b does not equal b-a
If a is an element of w and b is an element of w,
then (a-b) is an element of w
Counter example
Let a=1 b=3 then 1-3 is not an element of w
a is an element of w
0 x a= 0
a is an element of w
b is an element of w
c is an element of w
a(b+c) = ab+ac
a is an element of w
1 x a= a
1 is the identity element
a is an element of w
b is an element of w
c is an element of w
(a x b) x c = a x (b x c)
a is an element of w
b is an element of w
ab is an element of ba
a is an element of w
b is an element of w
ab is an element of w
Subtraction is inverse operation of addition.
Four fact families
3+7=10
7+3=10
10-3=7
10-7=3
Characterized by the need to determine what quantity must be added to a specified number to reach some targeted amount.
ex. Tim has 1 ipod. After christmas Tim has 3 ipods. How many ipods did he get for christmas?
Characterized by a comparison of the relative sizes of two quantities and determing either how much larger or how much smaller one quantity is compared to the other.
ex. Jonny has 3 baseball cards. Steve has 5 baseball cards. How many more baseball cards does Steve have than Jonny?
Characterized by starting with some initial quantity and removing/taking away a specified amount.
ex. Sally had 4 apples, she eats 2 apples. How many apples does sally have now?
Sequence: Ordered list of objects, events, or numbers.
Current term is dependent on previous term(s)
We can write a rule if we know -The first term (a1) and -The common ratio ( r )
We can write a rule if we know -The first term (a1) and -The common difference(d)
What Strategy are you going to use?
Examples
-Act it out -Draw it out
-Look for a pattern -Guess & check
Characterized by using a given quantity to create groups (partitions) of a specified size (amount) and determining the number of groups (partitions) that are formed.
KNOW
-Quantity starting with
-Size of each group
FIND
-Number of groups
*Twenty-five students must be grouped into groups of 5. How many groups of students can be made?
Characterized by distributing a given quantity among a specified number of groups (partition) and determing the size (amount) in each group.
KNOW
-The quantity we're starting with
-Number of groups
FIND
-Size of each group
*Twenty-four pieces are to be shared among 6 students. How many pieces of candy will each student get?
If a is an element of w then a+0=a=0+a The identity element for addition is 0.
If a is an element of w, b is an element of w and c is an element of w, then (a+b)+c=a+(b+c)=(a+c)+b
If a is an element of w and b is an element of w, then a+b=b+a
If a is an element of x and b is an element of x, the a+b is an element of x.
Time, Distance, Area, Volume
Characterized by the combining of two continuous quantities.
Markers, Feet, Chairs, Desks
Characterized by combing two sets of discreet objects.
Discreet- Indidually seperate and distinct objects.
0 is not a counting number.
Usage of digits/numerals and place value.
Works for smaller amounts
