Sports
Rate
 A ratio used to compare different kinds of
measurements.
 Ratio’s are frequently seen in things such as insurance
rates, housing, clothing, sales and sports.
 Rate is …. The change in Y
The change in X
Sometimes it is anyways. Different kinds of rates are…
Point to Point Analysis
 Point to point analysis is when you find the
consecutive changes between numbers.
 Their first game, the Dallas Cowboys play the Chicago
bears and win 42-0.
(We hope there are no Bears fans in here)
And then they play their second game against
the Steelers and they win 52-24. The Point to Point
Analysis is 10
Games
Score
1
1
42
2
52
Input
Output
 If you find consecutive changes, you are able to
determine what kind of graph it is.
 i.e.= if it is increasing at a constant rate, increasing at a
fluctuating rate, decreasing at a constant, decreasing
at a decreasing rate.
Positive slope,
increasing at a
constant rate
Negative slope
decreasing at a
constant rate
Example: Increasing or Decreasing at
Increasing or Decreasing rates
 Input (also known as X, independent, domain) in this
scenario is the games played by a team.
 Output (range, Y, dependent) is the team scores in the
following scenarios.
Increasing at an
increasing rate
Games the
Steelers
played
Score
1
12
Games the
Cardinals
Played
Score
1
24
2
24
2
32
3
35
3
42
Increasing at a
decreasing rate
Average Rate of Change
 Average rate of change is…
 Well, the average rate of change.
 Specifically, it is the change in the value of a quantity
divided by the elapsed time (or whatever Y is)
 The steps to finding it go something like this.
 First, find the point to point rates on a graph.
 Then subtract the first number from the last and
divide.
Graph Sketch
 This one really doesn’t have an adequate way of
defining, so examples work just great for this one.
 In the Olympics, a track runner runs the 400 in 46
seconds. He speeds up, speeds up some more and then
sprints.

Speed of the Runner
Speed
Time
Independent and
Dependent variables
 An independent variable is a variable that can stand
alone and not be affected by the Y variable. Time is
often considered an X variable.
 Dependent variables are affected by X and cannot
stand alone.
 EXAMPLE!!!!!
How many tickets to the Suns game are sold depends on
the price.
Independent: Price.
Dependent: How many tickets are sold.
Unit Rate
 Unit rate is a rate in which the denominator can be
described with one.
 Common examples of a unit rate…
 11 soccer players
one field
2 cars
One track
Percent Change
 Is a way to express change in a variable.
 To find the percent change, it is best to first find the
difference between variables, then divide the
difference by the original amount.
 So if the baseball team has 300 bats and then 123 of
them are broken in games or practice, what is the
percent change?
300-123=177
177/300=.59
59% change
Domain and Range
 Domain (also known as X) is the X set of values in an




equation. So if there are 4 badminton games and the
scores are 15, 14, 5 and 27
Domain would be 1, 2, 3 and 4 because that’s the
number of games.
Range is otherwise known as Y and that would be the
scores they received. 5, 14, 15 and 27.
So all in all, set into an equation it would look
something like this.
D{1,2,3,4} R {5, 14, 15, 27}
And the icing on the top of the
cake of Domain and Range is,
Practical and Actual Domain and
Range
Actual domain and range is what is directly indicated on the graph or
table.
Practical is what is reasonable for the given situation
Practical: 0<y< 25
0<x<infinity
Actual: D{1.2.3.4}
R{3,10,18,22}
25
20
15
10
5
1 2 3 4