1. relation:
a comparison of 2 sets

2. cowboys Could they be related?
and angels…
Could a cowboy be related to an angel? Well, if we want to examine a relation, let’s look at our 2 sets.
Could they be related?

3. This cowboy used to date an angel
Cowboys & angels
This cowboy used to date an angel
and these cowboys and angels are professionals.
This cowboy is an angel.
This cowboy used to date an angel
And these cowboys and angels are both professionals.
This cowboy is an angel
These cowboys and angels blaze a different trail.
mapping

4. ordered pairs a table cowboys angels (Romo, Simpson), ( Dallas, L.A.),
A variety of representations can compare the two sets: verbally, like this song;
cowboys
angels
Tony Romo
Jessica Simpson
Dallas Cowboys
Los Angeles Angels
Lane Frost
Space Cowboys
Blue Angels
a table
(Romo, Simpson),
( Dallas, L.A.),
(Frost, Frost),
(Space, Blue)
ordered pairs

5. Angels
or we could try to use a graph.
But would this be accurate?
Simpson
Los Angeles
Frost
Blue
Cowboys
Dallas
Frost
Romo
Space

6. increasing or positive decreasing or negative
We want to examine the relationship to see if it is
increasing
or positive or
decreasing
or negative
But Cowboys and Angels are only related by a quality, not quantity. In math such as Algebra our comparisons are based on numerical facts.

7. There might even be
no relation
or random

8. We can take a particular set of Cowboys and examine 2 sets of their data to see if there is a relation.
Dallas
Cowboys
2011
2010
2009
2008
2007
2006
2005
2004
2003
Wins 8 6 11 9 13 10
Losses 5 7 3
table representation

9. Are the wins related to time?
verbal representation
(2003, 10), (2004, 6), (2005, 9), (2006, 9), (2007, 13),
(2008, 9), (2009, 11), (2010, 6), (2011, 8)
ordered pairs
2003
2004
2005
2006
2007
2008
2009
2010
2011 5 6 8 9 10 11 13
Wins
Time
mapping

10. a graphical representation
This data represents a mathematical relation of wins over time. We will examine quantities in Algebra using all of these types of representations:
Verbally, a table/chart, mapping, ordered pairs and graphing.

11. relation
A. Murray 2012