Elementary Mathmatics
Types of Sequences
Sequences Hyperlink
http://www.mathsisfun.com/algebra/sequences-finding-rule.html
Recurrence Relationship Sequence
Defines a sequence in which the current term is dependent on previous term(s).
Geometry Sequence
Sequences of numbers witn a common ratio; this is, if the ratio of any two consecutive trems in the sequence the ratio is the same.
8,-4,2,1,...
Arithmetic Sequence
Sequences of numbers with a common difference; this is, if you subtract any two consecutive terms in the sequence the difference is the same.
-3,-1,1,3,5,...
Sequence
Is an ordered list of objects, events or numbers which may be referred to as elements of the sequence, members or terms.
Set Concepts
Symbols for set concepts Hyperlink
http://www.rapidtables.com/math/symbols/Set_Symbols.htm
Complement of a set
All elements in the universal set but not in set A.
Cardinal Number
The number of unique elements in a set.
Equivalent sets
Set A and set B have the same cardinal number.
Equal Sets
Set A and set B have the same elements.
Empty Set
No elements
Proper Subset
Every element of set A is an element of set B and set B contains at least one element of set A.
Subset
Every element of set A is also an element of set B.
Element
Individual items in a st.
Universal Set
A set containing all elements in a correct discussion.
Set
Is a collection
Problem Solving - Polya
Problem Solving Hyperlink
http://teachingtoday.glencoe.com/howtoarticles/promoting-problem-solving-skills-in-elementary-mathematics
4. Look Back (reflect)
- Is ther an easier way I could have solved the problem?
- do I need to revise?
- does the answer make sense?
3. Carry out the Plan
Persistances is important OR revise the plan.
2. Devise a Plan
change point of view
- act it out
- work backwards
- look for a pattern
- use tools
-draw a model
- solve a simpler problem
- organized list/table
- use a formula
- find a resource
- guess & check
1. Identify the Problem
In other words: Understand the problem.
Numeration Systems
Numeration Systems Hyperlink:
http://www.basic-mathematics.com/numeration-system.html
Tally system:
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Egyptions
Symbolic and non positional
Mayon/Babylonians
base20/base60
Roman
Symbolic (letters, positions)
XI is different from IX
Hindo-Arabic
base10
Our Class
base5
Groups of 125,25, 5, and units.
