Elementary Mathmatics

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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.