Drill #56 Evaluate the following expressions: 1. 5( 2 + x ) = 20 2. 3.

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Presentation transcript:

Drill #56 Evaluate the following expressions: 1. 5( 2 + x ) = 20 2. 3.

Unit 5 Graphing Relations and Functions Objective: To graph ordered pairs on the coordinate plane

Landmarks Open books page 254 In 1998, as part of Cincinnati’s 200 birthday

The coordinate plane ** (1.) Origin: The point (0,0) (2.) x-axis: The horizontal axis on the coordinate plane (3.) y-axis: The vertical axis on the coordinate plane (4.) x-coordinate: The first number in an ordered pair (5.) y- coordinate: The second number in an ordered pair

The Coordinate Plane (6.) Quadrant I: The quadrant where both x and y are positive ( +, + ) Quadrant II: The quadrant where x is negative and y is positive ( – , + ) Quadrant III: The quadrant where both x is and y are negative ( – , – ) Quadrant IV: The quadrant where x is positive and y is negative ( + , – ) (7.) The Coordinate Plane: The plane containing the x- and y- axes

The coordinate plane y-axis Quadrant II (-,+) Quadrant I (+,+) ORIGIN (0, 0) x-axis Quadrant III (-,-) Quadrant IV (+,-)

Ordered Pairs ** (8.) Graph an ordered pair: Draw a dot at the point in the coordinate plane that corresponds to the ordered pair. Also referred to as plotting a point When graphing an ordered pair start at the origin. Move to the right or left until you reach the x- coordinate. Then move up or down until you reach the y- coordinate.

Graph the following coordinates: Graph the following ordered pairs and identify which quadrant they are in: (4,-2) (0,-5) (-3.5, -4) (-6,3)

(9.) Completeness Property for Points in the Plane ** Definition: Exactly one point in the plane is named by a given ordered pair of numbers. Exactly one ordered pair of numbers names a given point in the plane