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Rene Descartes

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.

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Rene Descartes

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  1. 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.

  2. Plotting Points on the Coordinate Plane June 21, 2012

  3. Today’s Objective • I can plot points on the coordinate plane using ordered pairs of integers.

  4. But first … DEFINITIONS! I love defining things. It helps people understand things better. Like a liger – it’s a cross between a lion and a tiger.

  5. Coordinate Grid • Is used to locate and name points on a plane. • The grid is formed by two perpendicular lines.

  6. Integer • A whole positive or negative number

  7. The Coordinate Plane • Definition: • The plane containing the X and Y axis. What does it look like?

  8. The Coordinate Plane

  9. X-Axis • 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.

  10. X-Axis • What does it look like? x-axis

  11. Y-Axis • Definition: • The VERTICAL axis in the coordinate plane. • How will I remember? • Y TO THE SKY!

  12. Y-Axis • What does it look like? y-axis

  13. Origin • 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.

  14. Origin • What does it look like? origin

  15. Ordered Pair • 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).

  16. Ordered Pair • What does it look like? (14,-3) y x

  17. X-Coordinate • 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!!

  18. X-Coordinate • What does it look like? (14,-3) x-coordinate

  19. Y-Coordinate • 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.

  20. Y-Coordinate • What does it look like? (14,-3) y-coordinate

  21. Quadrant • Definition: • One of the four quarters in the coordinate plane. • How will I remember? • “Quad” sounds like “quatro”. Both mean “4”.

  22. Quadrant • What does it look like? • Quadrants are labeled with the letter “Q” and Roman numerals. They are listed like: QI QII QIII QIV

  23. Quadrants on the Coordinate Plane Hint: To remember the order of the quadrants, draw a “C”

  24. What good are the quadrants? • 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.

  25. What good are the quadrants? (-,+) or (-x,y) (+,+) or (x,y) (-,-) or (-x,-y) (+,-) or (x,-y)

  26. Plotting Points For one BILLION dollars, I will show you how to make a plot! MWHAHAHAHAHA!!!

  27. Steps for Plotting Points • 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

  28. Plot the Following Points on the Coordinate Plane A = (1,4) B = (0,0) C = (-2,-4) D = (5,7) E = (2,-3)

  29. J H F I G Name the Ordered Pair F = ( , ) G = ( , ) H = ( , ) I = ( , ) J = ( , )

  30. 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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