Addition And Subtraction Flashcards
Closure property
The implication that the sum of two whole numbers exist and the sum is a unique whole number
Commutative property of addition
When two whole numbers are added together, the order does not matter. a+b=b+a.
Associative property of addition
The order of operation does not matter when adding multiple numbers. (a+b)+c=a+(b+c)
Identity property of addition
The additive identity. Any whole number a, a+0=a=0+a
Set model
A figure used to explain a problem
Addend
The numbers in an equation that are added together
Sum
The result of an addition equation
Number line model
A continuous line beginning at zero used to explain an equation
Missing addend model
Relating subtraction and addition using algebraic thinking. [] + 1=5
Subtraction of whole numbers
For any whole number such that a>b, a-b is a unique whole number such that b+c=a
Comparison model
Using pictures of equal portions visually mirroring them
Xxxxxxxx
Xxxxxx
Xx is left
Counting on
The strategy of counting on from one of the addends.
Doubles
Having students master the addition of like numbers. Eg. 1+1=2, 2+2=4. Students can use doubles along with the associative property of addition
Making ten
Addition strategy that involves the breaking of numbers to be able to add to tens. Eg. 6+8=(5+5)+3=(6+4)+4
Algorithm
A step-by-step procedure for solving a problem or performing a computation
Expanded algorithm
Using place value to aid in computation, For example 37 in expanded form is (3x10)+(7x1)
Standard algorithm
Using vertical stacking of numbers and a carry system to aid in the computation of numbers
Concrete model
Uses base 10 blocks to explain the addition of numbers. Regrouping single units into sticks, regrouping sticks into squares, and regrouping squares into cubes as needed
