Wednesday, December 15, 2010

Relations

In mathematics, a relation used to describe certain properties of things. That way, certain things may be connected in some way; this is called a relation. It is clear, that things are either related, or they are not, there are no in-between.The set of all the starting point is called the domain and the sets of the ending points is the range. The domain is the x's , and the range is the y's. A relations is just a relationship between two things just like in real life.

Pythagoras was a Greek mathematician. His belief was that all relations could be expressed as number relations, all things are numbers. He figured out this conclusion because of his observations in mathematics, music and astronomy.

The definition of relations in math is not different from the relations in our lives, it is the relationship of two things, so in our lives we have relationships between father and son, husband and wife, brother and sister, etc. And in math it is the same, a relationship between sets of information and data. There are many ways to graph relations just like: mapping, graphing, w have tables, and ordered pairs. We can also inverse them. There are also the functions, not all relations are functions, the ones that are functions are the ones that can pair up.

I really liked making this project. It was very hard finding information about people who contributed and all about the history, but I found a little. I feel I am stronger in this area and I know I can teach many people about Relations. Since the moment I started learning it I felt strong at it, I liked it because I understanded it and I wanted to do it. I hope all the examples I posted of, the ordered pairs and relations, help!


http://www.buzzle.com/articles/famous-mathematicians.html

http://www.purplemath.com/modules/fcns.htm


http://www.mathwarehouse.com/algebra/relation/math-function.php


Monday, December 6, 2010

Relations

Mapping
Graphing


x

1

2

4

8

y

64

16

4

1

Table

{ (-1,2), (2, 51), (1, 3), (8, 22), (9, 51) }

Ordered Pairs

Ordered Pairs

In math, a relation is just a set of ordered pairs. Note: { } are the symbol for "set"
    Some Examples of Relations include
  • { (0,1) , (55,22), (3,-50) }
  • { (0, 1) , (5, 2), (-3, 9) }
  • { (-1,7) , (1, 7), (33, 7), (32, 7) }
Example two of the domain and range of a relation

In the relation above,
    the domain is { 2, 4, 11, -21}
    the range is { -5, 31, -11, 3 }

    Note: This information is not mine I got it from:

Definition of Relations


In mathematics
, a relation used to describe certain properties of things. That way, certain things may be connected in some way; this is called a relation. It is clear, that things are either related, or they are not, there are no in-between.

The set of all the starting point is called the domain and the sets of the ending points is the range. The domain is the x's , and the range is the y's.