This document introduces coordinate graphs and ordered pairs. It defines a coordinate grid as a set of uniformly spaced horizontal and vertical lines used to locate points by their distance from two intersecting lines. The x-axis is the horizontal number line representing the dependent variable, while the y-axis is the vertical number line representing the independent variable. An ordered pair identifies a point's location by its x and y coordinates, with the x value found first by moving horizontally along the x-axis and then the y value found by moving vertically.

1. Introduction to Coordinate Graphs

2. Definition Grid/Graph – a set of uniformly spaced horizontal and vertical line segments.

3. Definition Coordinate Grid – a grid used to locate a point by its distances from 2 intersecting straight lines. 1 2 3 4 5 1 2 3 4 5 0 0

4. Definition x-axis: a horizontal number line on a coordinate grid; represents the dependent variable. x 1 2 3 4 5 0 6

5. Definition y-axis : a vertical number line on a coordinate grid; represents the independent variable. 1 2 3 4 5 0 6 y

6. Definition Coordinates: an ordered pair, used to identify a location on a coordinate plane. 1 2 3 4 5 0 6 1 2 3 4 5 0 6 (3,4)

7. How to Plot Ordered Pairs Step 1 : Always find the x value first, moving horizontally along the x-axis. 1 3 2 4 5 0 6 1 2 3 4 5 0 6 ( 2 ,3) y x

8. How to Plot Ordered Pairs Step 2 : Starting from your new position find the y value by moving vertically up. 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (2, 3 ) y x

9. How to Find Ordered Pairs Step 1 : Find how far over horizontally the point is by counting along the x-axis. 1 3 2 4 5 0 6 1 2 3 4 5 0 6 y x ( 5,_ )

10. How to Find Ordered Pairs Step 2 : Now count how far vertically the point is by counting up. 1 3 2 4 5 0 6 1 2 3 4 5 0 6 y x (5, 4 )

11. Remember The first number is always the x-coordinate . The second number is always the y-coordinate . 1 3 2 4 5 0 6 1 2 3 4 5 0 6 ( 3 ,4)

12. What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6

13. What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6

14. What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6

15. What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6

16. Plot the ordered pair! 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (3,4)

17. Plot the ordered pair! 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (4,6)

18. Plot the ordered pair! 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (3,2)

19. Credits Clipart from “Microsoft Clip Gallery” located on the Internet at http://cgl.microsoft.com/clipgallerylive/default.asp Math dictionary. (2006). Honesdale, PA: 2006.