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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

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1 6 ordered pairs and relations

1-6 Ordered Pairs and Relations

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


Vocabulary
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



Coordinate system
Coordinate System coordinate plane

coordinate plane

y-axis

x-axis

origin


Ordered pair
Ordered Pair coordinate plane

x-coordinate

y-coordinate


Graphing an 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
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
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
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
Express the following relation as a table. ordered pairs.

Please review the following example:


Express the following relation as a graph
Express the following relation as a graph. ordered pairs.

Please review the following example:


Please state the domain and range of the following relation
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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