1. 1-6 Ordered Pairs and Relations
How are ordered pairs used to graph real-life data?

2. Vocabulary
coordinate system (coordinate plane)– used to locate points in mathematics
x-axis – the horizontal number line on the coordinate system
y-axis – the vertical number line on the coordinate system
origin – is at (0,0); the point at which the number lines intersect

3. ordered pair of numbers – used to locate any point on a coordinate plane
x-coordinate – first number of an ordered pair
y-coordinate – second number of an ordered pair
graph of an ordered pair- point on the coordinate system that corresponds to the ordered pair

4. Coordinate System
coordinate plane
y-axis
x-axis
origin

5. Ordered Pair
x-coordinate
y-coordinate

6. Graphing an Ordered Pair
Graph (4,1) on a coordinate system.
Step Three: Since the y-coordinate is 1, move 1 unit up. Draw a dot.
Step Two: Since the x-coordinate is 4, move 4 units to the right.
Step One: Start at the origin.

7. Practice
Please visit to practice plotting points. Please use your results to complete #9 in the PowerPoint Guide.

8. More Vocabulary relation – a set of ordered pairs
domain – the set of x-coordinates
range – the set of y-coordinates

9. The following is an example of a relation, or a set of ordered pairs.
The domain is (1,2,3,4)
The range is (2,4,0,5)

10. A relationship can be shown in several ways.
Graph
Map
Ordered Pairs  
Table x y 1 2 4 3 5 1 2 3 4 2 4 5

11. Express the following relation as a table.
Please review the following example:
Express the following relation as a table. x y  0 2 1 3 5

12. Express the following relation as a graph.
Please review the following example:
Express the following relation as a graph.

13. Please state the domain and range of the following relation:
Please review the following example:
Please state the domain and range of the following relation:
Domain: {0,2,1,5}
Range: {0,1,3,2}

14. Some species of bamboo grow three feet in one day.
Please review the following example:
Some species of bamboo grow three feet in one day.
Make a table of ordered pairs in which the x-coordinate represents the number of days and the y-coordinate represents the amount of growth for 1, 2, 3, and 4 days.
Graph the ordered pairs.
Describe the graph.
The points appear to be in a line. x y
(x,y) 1 3
(1,3) 2 6
(2,6) 9
(3,9) 4 12
(4,12)