The Coordinate Plane

The Coordinate Plane In mathematics we can locate a point more exactly by using a coordinate system The coordinate system is formed by the intersection of two number lines that meet at their zero points This point is called the origin

The Coordinate Plane The horizontal number line is called the x-axis

The Coordinate Plane The vertical number line is called the y-axis

The Coordinate Plane The two axes separate the coordinate plane into four sections called quadrants The quadrants are numbered numerically (starting in the upper-right) in a counter-clockwise formation using roman numerals Quadrant II Quadrant I Quadrant III Quadrant IV

The Coordinate Plane ( 2, 3 ) You can graph any point on the coordinate plane by using an ordered pair of numbers The first number in the pair is called the x-coordinate The second number is called the y-coordinate The coordinates are your directions to find the point ( 2, 3 )

The Coordinate Plane Notice the points in Quadrant I. What do they all have in common? All of the x-coordinates have positive values and all of the y-coordinates have positive values ( +, + ) Quadrant II Quadrant I Quadrant III Quadrant IV

The Coordinate Plane Notice the points in Quadrant II. What do they all have in common? All of the x-coordinates have negative values and all of the y-coordinates have positive values ( +, + ) ( - , + ) Quadrant II Quadrant I Quadrant III Quadrant IV

The Coordinate Plane Notice the points in Quadrant III. What do they all have in common? All of the x-coordinates have negative values and all of the y-coordinates have negative values ( +, + ) ( - , + ) Quadrant II Quadrant I ( - , - ) Quadrant III Quadrant IV

The Coordinate Plane Notice the points in Quadrant IV. What do they all have in common? All of the x-coordinates have positive values and all of the y-coordinates have negative values ( +, + ) ( - , + ) Quadrant II Quadrant I ( +, - ) ( - , - ) Quadrant III Quadrant IV

Graphing Points on The Coordinate Plane Checkpoint Tell which quadrant the ordered pair below would be located in, then come up and graph the point ( -5, -2 ) Quadrant III

Graphing Points on The Coordinate Plane Checkpoint Tell which quadrant the ordered pair below would be located in, then come up and graph the point ( 2, -3 ) Quadrant IV

Graphing Points on The Coordinate Plane Checkpoint Tell which quadrant the ordered pair below would be located in, then come up and graph the point ( -4, 3 ) Quadrant II

Graphing Points on The Coordinate Plane Checkpoint Tell which quadrant the ordered pair below would be located in, then come up and graph the point ( 3, 3 ) Quadrant I

Homework: Practice Worksheet 3-10 Skill 15: The Coordinate Plane Due Tomorrow!