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Coordinate Geometry by Monica Yuskaitis Definition Grid – A pattern of horizontal and vertical lines, usually forming squares. Copyright © 2000 by Monica Yuskaitis Definition Coordinate grid – a grid used to locate a point by its distances from 2 intersecting straight lines. A B C D E What are the coordinates for the house? 1 2 3 4 5 Copyright © 2000 by Monica Yuskaitis Definition x axis – a horizontal number line on a coordinate grid. 0 1 2 3 4 5 6 Copyright © 2000 by Monica Yuskaitis x Hint x is the shortest and likes to lie down horizontally. 0 1 2 3 4 5 6 Copyright © 2000 by Monica Yuskaitis x Definition y axis – a vertical number line on a coordinate grid. y 6 5 4 3 2 1 0 Copyright © 2000 by Monica Yuskaitis Hint y is the tallest and stands upright or vertically. y 6 5 4 3 2 1 0 Copyright © 2000 by Monica Yuskaitis Definition Coordinates – an ordered pair of numbers that give the location of a point on a grid. (3, 4) 6 5 (3,4) 4 3 2 1 00 1 2 3 4 5 6 Copyright © 2000 by Monica Yuskaitis Hint The first number is always the x or first letter in the alphabet. The second number is always the y the second letter in the alphabet. 6 5 (3,4) 4 3 2 1 00 1 2 3 4 5 6 Copyright © 2000 by Monica Yuskaitis How to Plot Ordered Pairs Step 1 – Always find the x value first, moving horizontally either right (positive) or left (negative). (2, 3) y 6 5 4 3 2 1 00 1 2 3 4 5 6 Copyright © 2000 by Monica Yuskaitis x How to Plot Ordered Pairs Step 2 – Starting from your new position find the y value by moving vertically either up (positive) or down (negative). 6 (2, 3) 5 4 (2,3) y 3 2 1 00 1 2 3 4 5 6 x Copyright © 2000 by Monica Yuskaitis How to Find Ordered Pairs Step 1 – Find how far over horizontally the point is by counting to the right (positive) or the left (negative). (5, ) 6 5 4 y 3 2 1 00 1 2 3 4 5 6 x Copyright © 2000 by Monica Yuskaitis How to Find Ordered Pairs Step 2 – Now count how far vertically the point is by counting up (positive) or down (negative). (5,4) y 6 5 4 3 2 1 00 1 2 3 4 5 6 Copyright © 2000 by Monica Yuskaitis x What is the ordered pair? (3,5) y 6 5 4 3 2 1 00 1 2 3 4 5 6 Copyright © 2000 by Monica Yuskaitis x What is the ordered pair? (2,6) y 6 5 4 3 2 1 00 1 2 3 4 5 6 Copyright © 2000 by Monica Yuskaitis x What is the ordered pair? (4,0) y 6 5 4 3 2 1 00 1 2 3 4 5 6 Copyright © 2000 by Monica Yuskaitis x What is the ordered pair? (0,5) y 6 5 4 3 2 1 00 1 2 3 4 5 6 Copyright © 2000 by Monica Yuskaitis x What is the ordered pair? (1,1) y 6 5 4 3 2 1 00 1 2 3 4 5 6 Copyright © 2000 by Monica Yuskaitis x Credits Clipart from “Microsoft Clip Gallery” located on the Internet at http://cgl.microsoft.com/ clipgallerylive/default.asp Copyright © 2000 by Monica Yuskaitis