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In an experiment, the ____________________ is the variable you change. It may also be thought of as the variable that causes a change in the dependent variable. Values of the ____________________ are represented by values on the x-axis.
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In an experiment, you observe changes in the ____________________. Also, its value “depends” on the value of the variable graphed on the x-axis. Values of the ____________________ are represented by values on the y-axis.
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| A pairing of values of two variables. In this class, we will encounter __________ in the form of tables of values, sets of ordered pairs, equations, graphs and sentences. |
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A plane that is divided into four regions by a horizontal and a vertical number line. The locations of points in the __________ are given by ordered pairs.
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One of the intersecting number lines that divide the coordinate plane into quadrants.
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The horizontal line that divides the coordinate plane. Values of the independent variable are represented by values on the __________.
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The vertical line that divides the coordinate plane. Values of the dependent variable are represented by values on the __________.
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The point where the x- and y-axes intersect (cross). The coordinates of the __________ are (0, 0).
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One of the four regions of the coordinate plane formed by the x- and y-axes.
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One pairing of values in a mathematical relation. A/an ____________________ represents a position on the coordinate plane. Examples of ____________________s: (–5, 6), (x, y)
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The distance represented by each division on a number line. For example, if each division on the x-axis represents 5 feet, then the __________ is 1 division = 5 ft.
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A quantity is __________ if there are “holes” between succeeding values. (“Succeeding” means to “come after.”) For example, if the quantity is “number of customers,” you can have 3 customers or 4 customers, but there is no value of customers between 3 and 4. If either variable is __________, you do not “connect the dots” when graphing.
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A quantity is __________ if there are no “holes” between succeeding values. For example, if the quantity is “weight of a patient,” you can have a weight of 128 pounds and a weight of 129 pounds. In fact you can have weights in between 128 and 129. No matter how small the division, this remains true. You can have a weight of 128.1 pounds and 128.2 pounds, and there are still weights in between those. If both variables are __________, you do “connect the dots” when graphing.
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| examples: (x, y), (-3, 5), (135, -957) |
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| write three examples of ordered pairs |
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t is the independent variable.
h is the dependent variable because its value depends on t's value. |
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Here's an equation for the height of a ball dropped from the top of a five-story building:
h = 60 - 16t2
Which variable is the independent variable? |
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1. (-7, -10)--quadrant III
2. (4, 7)--quadrant I
3. (-75, 1)--quadrant II |
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What quadrants are these points in?
1. (-7, -10)
2. (4, 7)
3. (-75, 1) |
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| Discrete. Each can is 7.5 inches tall. So the tower can be 0, 7.5, 15, 22.5, 30, 37.5 and so on inches tall, but no values in between. |
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| Lacey and Kaitlynn are building a super-tall tower out of Peace Tea cans. Are the possible heights of the tower a discrete or continuous quantity? |
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| Values of x range from -390 to 55, and values of y range from 5 to 45. The coordinate plane has 22 boxes from the origin to the end of the y-axis and 22 boxes from the origin to the end of the x-axis. What scale should you use for the x- and y-axes when graphing? |
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| What are the coordinates of the origin? |
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| Right now, 273 aliens are attacking the space marines' position. Every hour, the marines eliminate 27 aliens. Write an equation for the number of aliens (call it a) remaining after h hours. Use the equation to deterimne how many aliens will remain in 7 hours. |
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