Math Man is an organizational tool that will help you to remember some of the basic principals of math. Begin your EOC test by drawing and labeling, it will allow you a reference while you are taking the test.

Let’s Begin x y Let’s think about relationships. What is required for a relationship? (x, y) Draw an x in the left ear and a y in the right ear to represent the ordered pair (x, y)

Terminology MIxID : x MIxID Manipulated Independent x Input Domain Responding y is also f(x) Output Range MIxID : x MIxID Manipulated Independent x Input Domain DRyOR : y DRyOR Dependent Range y is also f(x) Output Responding DRYOR MI XID

y x DRYOR/MIXID On your pants leg write DRYOR on the vertical and MIXID on the horizontal. Remember that your graph has the y-axis on the vertical axis and the x-axis on the horizontal axis. DRYOR MI XID

y x SLOPE or m Manipulated Independent x Input Domain Dependent Responding y is also f(x) Output Range Rise divided by Run or change in y (vertical change) divided by change in x (horizontal change Positive slope (+): The graph goes up from left to right. Negative Slope (-): The graph goes down from left to right. Zero slope (0): The graph is horizontal or no change from left to right. Undefined Slope (θ): The graph is vertical or zero in the denominator. rise Δy y2 –y1 run Δx x2-x1 U N D E F I DRYOR MI XID - +

y x Slope KFC Manipulated Independent x Input Domain K F C Dependent Responding y is also f(x) Output Range rise Δy y2 –y1 run Δx x2-x1 Parallel Lines: K for Keep │K│ Parallel lines have the same slope Perpendicular Lines: FC for Flip and change F │C Perpendicular lines have slopes that are negative reciprocals. U N D E F I DRYOR MI XID - +

Parent Functions K F C Linear Parent Function y = x + - U N D E F I K F C Parent Functions Manipulated Independent x Input Domain Dependent Range y is also f(x) Output Responding Linear Parent Function y = x Quadratic Parent Function y = x2 y = x2 y= x rise Δy y2 –y1 run Δx x2-x1 DRYOR MI XID

y x + - U N D E F I y= x y = x2 K F C What is PAV 123? Manipulated Independent x Input Domain Dependent Range y is also f(x) Output Responding Perimeter (length or distance) measured in units1 Area (amount used to cover) measured in units2 Volume (amount used to fill) measured in units3 K F C rise Δy y2 –y1 run Δx x2-x1 DRYOR MI XID 3 P V 1 A 2

y x + - U N D E F I y= x y = x2 K F C P A V 1 2 3 Inequalities Manipulated Independent x Input Domain Dependent Responding y is also f(x) Output Range Greater than (>) and Less than (<) signs will be graphed with dashed lines. Greater than or equal to (≥) and Less than or equal to (≤) signs will be graphed with solid lines. rise Δy y2 –y1 run Δx x2-x1 DRYOR MI XID

Inequalities cont. For all inequalities in slope intercept form, you will shade above the graph of the line for (>) and (≥) and below the graph of the line for (<) and (≤).

Now it’s your turn. Create your own math man using this example.

Blank Math Man