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Graphing Ordered Pairs Cartesian Coordinate System - similar to a grid Graphing Ordered Pairs – points in the plane.

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Presentation on theme: "Graphing Ordered Pairs Cartesian Coordinate System - similar to a grid Graphing Ordered Pairs – points in the plane."— Presentation transcript:

1 Graphing Ordered Pairs Cartesian Coordinate System - similar to a grid Graphing Ordered Pairs – points in the plane

2 Graphing Ordered Pairs Cartesian Coordinate System - similar to a grid - has an X horizontal axis + x - x Graphing Ordered Pairs – points in the plane

3 Graphing Ordered Pairs Cartesian Coordinate System - similar to a grid - has an X horizontal axis - has a Y vertical axis + x - x + y - y Graphing Ordered Pairs – points in the plane

4 Graphing Ordered Pairs Cartesian Coordinate System - similar to a grid - has an X horizontal axis - has a Y vertical axis + x - x + y - y Coordinates are labeled using an ( x, y ) format. It’s alphabetic, so x always comes before y when you label a coordinate. Graphing Ordered Pairs – points in the plane

5 Cartesian Coordinate System - similar to a grid - has an X horizontal axis - has a Y vertical axis + x - x + y - y Coordinates are labeled using an ( x, y ) format. It’s alphabetic, so x always comes before y when you label a coordinate. The two axis meet at a special coordinate called the “origin”. The “origin” has the value ( 0, 0 )

6 Graphing Ordered Pairs + x - x + y - y Notice, to the right of the origin, all x values are positive. To the left of the origin, all x values are negative. Graphing Ordered Pairs – points in the plane

7 Graphing Ordered Pairs + x - x + y - y Notice, to the right of the origin, all x values are positive. To the left of the origin, all x values are negative. Also, above the origin, all y values are positive. And below the origin, all y values are negative Graphing Ordered Pairs – points in the plane

8 Graphing Ordered Pairs + x - x + y - y Graphing Ordered Pairs – points in the plane The two axis also divide the plane into 4 “quadrants”.

9 Graphing Ordered Pairs + x - x + y - y Graphing Ordered Pairs – points in the plane The two axis also divide the plane into 4 “quadrants”. These quadrants have specific positive and negative values when naming points. Quadrant 1 ( +, + ) Q1

10 Graphing Ordered Pairs + x - x + y - y Graphing Ordered Pairs – points in the plane Quadrant 1 ( +, + ) Quadrant 2 ( -, + ) Q1Q2 The two axis also divide the plane into 4 “quadrants”. These quadrants have specific positive and negative values when naming points.

11 Graphing Ordered Pairs + x - x + y - y Graphing Ordered Pairs – points in the plane Quadrant 1 ( +, + ) Quadrant 2 ( -, + ) Quadrant 3 ( -, - ) Q1Q2 The two axis also divide the plane into 4 “quadrants”. These quadrants have specific positive and negative values when naming points. Q3

12 Graphing Ordered Pairs + x - x + y - y Graphing Ordered Pairs – points in the plane Quadrant 1 ( +, + ) Quadrant 2 ( -, + ) Quadrant 3 ( -, - ) Quadrant 4 ( +, - ) Q1Q2 The two axis also divide the plane into 4 “quadrants”. These quadrants have specific positive and negative values when naming points. Q3Q4

13 Graphing Ordered Pairs + x - x + y - y Graphing Ordered Pairs – points in the plane Capital letters are used to name points. Here are a few examples of named points and their position on the coordinate system.

14 Graphing Ordered Pairs + x - x + y - y Graphing Ordered Pairs – points in the plane Capital letters are used to name points. Here are a few examples of named points and their position on the coordinate system. A ( 2, 5 ) A

15 Graphing Ordered Pairs + x - x + y - y Graphing Ordered Pairs – points in the plane Capital letters are used to name points. Here are a few examples of named points and their position on the coordinate system. A ( 2, 5 ) B ( - 1, - 2 ) A B

16 Graphing Ordered Pairs + x - x + y - y Graphing Ordered Pairs – points in the plane Capital letters are used to name points. Here are a few examples of named points and their position on the coordinate system. A ( 2, 5 ) B ( - 1, - 2 ) T ( - 9, 5 ) A B T

17 Graphing Ordered Pairs + x - x + y - y Graphing Ordered Pairs – points in the plane You try a few... A ( __, __ ) B ( __, __ ) T ( __, __ ) A B T Next page for answers….

18 Graphing Ordered Pairs + x - x + y - y Graphing Ordered Pairs – points in the plane Answers... A ( -6, 0 ) B ( 1, 7 ) T ( 4, - 2 ) A B T

19 Using a piece of graph paper, create a coordinate system and plot the points below. Mr. Hartman will check your answers… G ( 4, 3 ) H ( 0, - 2 ) O ( -1, - 4 ) M ( 5, -5 ) E ( - 3, 2 )


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