MAT 156 Math for Elementary Teachers

0 is not a counting number.

Works for smaller amounts

Usage of digits/numerals and place value.

Markers, Feet, Chairs, Desks

Discreet- Indidually seperate and distinct objects.

Time, Distance, Area, Volume

If a is an element of x and b is an element of x, the a+b is an element of x.

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 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 then a+0=a=0+a The identity element for addition is 0.

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?

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?

What Strategy are you going to use? Examples-Act it out -Draw it out-Look for a pattern -Guess & check

Sequence: Ordered list of objects, events, or numbers.

We can write a rule if we know -The first term (a1) and -The common difference(d)

We can write a rule if we know -The first term (a1) and -The common ratio ( r )

Current term is dependent on previous term(s)

Subtraction is inverse operation of addition. Four fact families3+7=107+3=10 10-3=7 10-7=3

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?

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 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?

a is an element of wb is an element of wab is an element of w

a is an element of wb is an element of w ab is an element of ba

a is an element of wb 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 1 x a= a1 is the identity element

a is an element of wb is an element of w c is an element of wa(b+c) = ab+ac

a is an element of w0 x a= 0

If a is an element of w and b is an element of w,then (a-b) is an element of wCounter exampleLet a=1 b=3 then 1-3 is not an element of w

If a is an element of w and b is an element of w then a-b=b-aCounter example Let a=1 and b=3a-b=-2 b-a=2so a-b does not equal b-a

If a is an element of w then a-0=a=0-aCounter Example a-0=a Let a=1 then 1-0=1but 0-a doesn not equal a because 0-1=-1

Speaks for itself.

There are 3 rows on a bus, there are 4 children in each row. How many children are there in the bus?

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.

Characterized by repeatedly adding a quantity of continuous quantities. A specified number of times. MEAUREMENTSex. 50mph for 3 hours.

Characterized by finding all possible pairings between 2 or more sets of objects.