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Part-to-whole
A number that can be written as the ratio of two integers. Often referred to as fractions, BUT not all fractions are RATIONAL fractions.
The smallest number that is a multiple of both a and b is m.
aka GCD
The greatest common factor of both a and b is equal to n. The largest number that is a factor of both a and b is n.
Collection of objects
Opposite.
Same cardinal number
Have identical elements
No elements
A subset of another set and there is atleast one element of the other set that is not in the subset. (⊂)
Set of objects in which all of those objects are contained within another set. (⊆)
Collection of objects under consideration (U)
Sequence- an ordered list
A sequence in which the current term is dependent on previous terms.
Sequences of numbers with a common ratio.
Sequences of numbers with a common difference.
Element- a memeber in the sequence
Characteristcs of a number.
If we writ "a divides b", there are 4 equivalent statements that are useful based on this statement.
1.) a is a factor of b
2.) b is a multiple of a
3.) a is a divisor of b
4.) b is divisible by a
2n+1
2n
Every composite number can be written as the product of prime numbers in one and only one way.
a + b = c
b + a + c
c - a = b
c - b = a
Continuous
Discrete
2 Basic models we consider for addition are:
Discrete, and
Continuous.
Base 10.
Letters represent numbers. Positional.
Mayans had first symbol for "zero". Babylonians used Base 60
Symbolic/ non-positional
Guess and check
Find a resource to assist
Use a formula if one ecists
Make an organized list/ table
Solve a simpler problem
Draw a model
Use tools (ruler, protractor, compass, etc)
Loofor a pattern
Work backwords
Act it out (using manipulatives)
Change your point of view
