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# Coordinate geometry ppt

## by LaJuana Ezzard on Jul 13, 2010

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• kederbetie This is the basic to start our lesson at any grade level so it is wonderful review for all students at the beginning of school year 4 months ago
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## Coordinate geometry pptPresentation Transcript

• Coordinate Geometry by Monica Yuskaitis
• Definition
• Grid – A pattern of horizontal and vertical lines, usually forming squares.
• Definition
• Coordinate grid – a grid used to locate a point by its distances from 2 intersecting straight lines.
A B C D E 1 2 3 4 5 What are the coordinates for the house?
• Definition
• x axis – a horizontal number line on a coordinate grid.
1 2 3 4 5 0 6 x
• Hint
• x is the shortest and likes to lie down horizontally.
1 2 3 4 5 0 6 x
• Definition
• y axis – a vertical number line on a coordinate grid.
1 2 3 4 5 0 6 y
• Hint
• y is the tallest and stands upright or vertically.
1 2 3 4 5 0 6 y
• Definition
• Coordinates – an ordered pair of numbers that give the location of a point on a grid. (3, 4)
1 2 3 4 5 0 6 1 2 3 4 5 0 6 (3,4)
• 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.
1 3 2 4 5 0 6 1 2 3 4 5 0 6 (3,4)
• How to Plot Ordered Pairs
• Step 1 – Always find the x value first, moving horizontally either right (positive) or left (negative).
1 3 2 4 5 0 6 1 2 3 4 5 0 6 (2, 3) y 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).
1 3 2 4 5 0 6 1 2 3 4 5 0 6 (2, 3) (2,3) y x
• 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).
1 3 2 4 5 0 6 1 2 3 4 5 0 6 (5, ) y x
• How to Find Ordered Pairs
• Step 2 – Now count how far vertically the point is by counting up (positive) or down (negative).
1 3 2 4 5 0 6 1 2 3 4 5 0 6 (5,4) y x
• What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (3,5) y x
• What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (2,6) y x
• What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (4,0) y x
• What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (0,5) y x
• What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (1,1) y x
• Four Quadrants of Coordinate Grid
• When the number lines are extended into the negative number lines you add 3 more quadrants to the coordinate grid.
-2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 y x
• Four Quadrants of Coordinate Grid
• If the x is negative you move to the left of the 0.
-2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 x = -2 y x
• Four Quadrants of Coordinate Grid
• If the y is negative you move down below the zero.
-2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 y = -3 y x
• How to Plot in 4 Quadrants
• Step 1 - Plot the x number first moving to the left when the number is negative.
-2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (-3, -2) y x
• How to Plot in 4 Quadrants
• Step 2 - Plot the y number moving from your new position down 2 when the number is negative.
-2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (-3, -2) y x
• How to Plot in 4 Quadrants
• When x is positive and y is negative, plot the ordered pair in this manner.
-2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (2, -2) y x
• How to Plot in 4 Quadrants
• When x is negative and y is positive, plot the ordered pair in this manner.
-2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (-2, 2) y x
• Plot This Ordered Pair -2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (-3, -3) y x
• Plot This Ordered Pair -2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (-1, 2) y x
• Plot This Ordered Pair -2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (1, -1) y x
• Plot This Ordered Pair -2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (2, -2) y x
• Plot This Ordered Pair -2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (-3, -2) y x
• Credits Clipart from “Microsoft Clip Gallery” located on the Internet at http://cgl.microsoft.com/ clipgallerylive/default.asp