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

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

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

4. 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

5. 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

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

7. 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.

8. 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. (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