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

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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
slide3

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
coordinate system
Coordinate System

coordinate plane

y-axis

x-axis

origin

ordered pair
Ordered Pair

x-coordinate

y-coordinate

graphing an 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
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
More Vocabulary
  • relation – a set of ordered pairs
  • domain – the set of x-coordinates
  • range – the set of y-coordinates
slide9

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.
  • 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.

Please review the following example:

express the following relation as a graph
Express the following relation as a graph.

Please review the following example:

please state the domain and range of the following relation
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}

slide14

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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