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### 1-6 Ordered Pairs and Relations

How are ordered pairs used to graph real-life data?

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

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

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.

Practice

Please visit http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i3/bk7_3i2.htm

to practice plotting points.

Please use your results to complete #9 in the PowerPoint Guide.

More Vocabulary

- relation – a set of ordered pairs
- domain – the set of x-coordinates
- range – the set of y-coordinates

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)

Express the following relation as a table.

Please review the following example:

Express the following relation as a graph.

Please review the following example:

Please state the domain and range of the following relation:

Please review the following example:

Range: {0,1,3,2}

Domain: {0,2,1,5}

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.

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