1-6 Ordered Pairs and Relations

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Presentation transcript:

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

Coordinate System coordinate plane y-axis x-axis origin

Ordered Pair x-coordinate y-coordinate

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)

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

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

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

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}

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)