Lesson 1-6 Pages 33-38

Ordered Pairs and Relations

What you will learn!1. How to use ordered pairs to locate points.

2. How to use tables and graphs to represent relations.

Coordinate system X-coordinate

Y-axis Y-coordinate

Coordinate Plane Graph

Origin Relation

X-axis Domain

Ordered pair Range

What you really need to know!

In mathematics, a coordinate system is used to locate points. The horizontal number line is called the x-axis and the vertical number line is called the y-axis.

What you really need to know!

The point where the two axes intersect is the origin (0,0). An ordered pair of numbers is used to locate points in the coordinate plane. The point (4,3) has an x-coordinate of 4 and a y-coordinate of 3.

Graph each ordered pair on a coordinate system.

1.(3,4)

2.(0,2)

0

1

2

3

4

6

5

7

8

9

0 1 2 3 4 5 6 7 8 9

G (1,1) H (4,0)y

x

Example 2:

Write the ordered pair that names each point.

0

1

2

3

4

6

5

7

8

9

0 1 2 3 4 5 6 7 8 9

G

H

Example 3:

Express the relation {(1,4), (2,2), (3,0), (0,2)} as a table and as a graph. Then determine the domain and range.

X Y

1 4

2 2

3 0

0 2

D= {0,1,2,3}

R={0,2,4}

y

x0

1

2

3

4

6

5

7

8

9

0 1 2 3 4 5 6 7 8 9

X Y

1 4

2 2

3 0

0 2

Example 3: Continued

Example 4:

Austin earns $5 an hour doing yard work. Suppose x represents the number of hours Austin works.

Make a table of ordered pairs in which the x-coordinate represents the hours worked and y represents the amount of money Austin earns for 1, 2, 3, 4, and 5 hours of work.

Example 4: Continued X Y

1 5

2 10

3 15

4 20

5 25

Example 4: Cont. y

x0

5

10

15

20

30

25

35

40

45

0 1 2 3 4 5 6 7 8 9

X Y1 52 103 154 205 25

Page 36

Guided Practice

#’s 4-11Link to Pre-Made Lesson

Pages 33-35 with someone at home

and study examples!

Read:

Homework: Pages 36-38

#’s 12-24, 26-30, 32, 34, 36, 37-39, 47-48, 50-65

Lesson Check 1-6

Page

725

Lesson 1-6

Lesson Check 1-6