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1-6 Ordered Pairs and RelationsPowerPoint Presentation

1-6 Ordered Pairs and Relations

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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 coordinate plane

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 coordinate plane

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 coordinate plane

- 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)

A relationship can be shown in several ways. ordered pairs.

- Graph

- Map

- Ordered Pairs

- Table

1

2

3

4

0

2

4

5

Express the following relation as a table. ordered pairs.

Please review the following example:

Express the following relation as a graph. ordered pairs.

Please review the following example:

Please state the ordered pairs.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: ordered pairs.

- 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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