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Published byHarry Jonas Carroll Modified over 9 years ago
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Rene Descartes The idea of graphing with coordinate axes dates all the way back to the 1600s, gets the credit for coming up with the two-axis system we use today. The story goes that he lay in bed and watched flies crawling over tiles on the ceiling. He realized that he could describe a fly's position using the intersecting lines of the tiles. The system is often called the "Cartesian coordinate system" in his honor.
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June 21, 2012
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I can plot points on the coordinate plane using ordered pairs of integers.
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I love defining things. It helps people understand things better. Like a liger – it’s a cross between a lion and a tiger.
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Coordinate Grid Is used to locate and name points on a plane. The grid is formed by two perpendicular lines.
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Integer A whole positive or negative number
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Definition: The plane containing the X and Y axis. What does it look like?
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Definition: The HORIZONTAL axis in the coordinate plane. How will I remember: X was walking along one day. He fell flat on his face because he is a 0. The x-axis is the axis that is flat on its face. OR Stretch your arms out….your arms stretched out represents the x-axis.
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What does it look like? x-axis
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Definition: The VERTICAL axis in the coordinate plane. How will I remember? Y TO THE SKY!
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What does it look like? y-axis
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Definition: The point (0,0) on the coordinate plane. It is where the x-axis and the y-axis intercept. How will I remember? Origin means “the beginning”. The origin of the coordinate plane is the beginning of the graph. It is usually (but not always) in the middle.
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What does it look like? origin
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Definition: Set of two numbers where the first coordinate represents the horizontal position (the x), and the second coordinate represents the vertical position (the y). How will I remember? Pair means “2”. Order means “first, second”. An ordered pair then tells you which to graph first and which to graph second (x,y).
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What does it look like? x y
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Definition: The coordinate that corresponds to the x-axis. It is the x point. How will I remember? X comes first in the alphabet. It is the first point given in the ordered pair!!
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What does it look like? x-coordinate
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Definition: The coordinate that corresponds to the y-axis. It is the y point. How will I remember? Y comes second in the alphabet. It is the second point given in the ordered pair.
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What does it look like? y-coordinate
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Definition: One of the four quarters in the coordinate plane. How will I remember? “Quad” sounds like “quatro”. Both mean “4”.
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What does it look like? Quadrants are labeled with the letter “Q” and Roman numerals. They are listed like: QI QII QIII QIV
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Hint: To remember the order of the quadrants, draw a “C”
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The quadrants tell you which point is negative and which point is positive. If you memorize the quadrants, you will know exactly where to place a point.
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(+,+) or (x,y) (-,+) or (-x,y) (-,-) or (-x,-y) (+,-) or (x,-y)
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For one BILLION dollars, I will show you how to make a plot! MWHAHAHAHAHA!!!
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To plot a point, follow these steps: 1.)Start at the origin 2.)Locate the x-coordinate If the x-coordinate is positive, travel to the right. If the x-coordinate is negative, travel to the left. 3.)Locate the y-coordinate If the y-coordinate is positive, travel up. If the y-coordinate is negative, travel down. 4.)Label the point
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1.A = (1,4) 2.B = (0,0) 3.C = (-2,-4) 4.D = (5,7) 5.E = (2,-3)
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I F H G J 1.F = (, ) 2.G = (, ) 3.H = (, ) 4.I = (, ) 5.J = (, )
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Now it is time for you to practice on your own! #Leggo! Pull out your Independent Practice and begin working quietly. No talking, You have about 12 minutes.
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