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					Creating Art with
  Mathematics
  Through your
Graphing Calculator




        By:
   Dr. Patrice Poage
          Project Expectations:

   You may do this project by yourself or in groups of two or
    three. (if done in a group, the drawing will be a tad more
    challenging)

   You must come to my office to pick out the picture you
    want to draw. You may find a picture on your own, but it
    must be approved by ME before you begin.

   You need to somehow nicely display the following:

       1. The original picture I give you (colored if you wish).
       2. The graph paper, which you traced your drawing on
          and numbered each equation.
       3. A computer print-out version of your calculator
          program displaying the equations you used.
       4. A computer print-out of your picture drawn on your
          calculator.

DUE DATE: May 1st by 5pm (in my office)
How to Begin:

  1. Trace your picture onto a piece of graphing paper.

  2. Mark the origin in the middle of the picture and begin labeling key
     points on the picture.

Starting on the Calculator (TI-83 Plus):

  1. Turn off your axis so your picture does not have lines going
     through it.
         Press 2nd CATALOG
         Scroll down to AXES OFF
         Press ENTER twice

  2. Begin   a New Program
            Press PGRM and arrow over to NEW
            Press ENTER
            The ALPHA key is now turned on, which allows you type in
             letters (in green) – type your LAST name here – this will be
             the name of your program
            Press ENTER

  3. Domain and Range
        Look on your graph paper and find your smallest/largest x
          and y values
        Type in your smallest x value
        Press STO ->
        Press VARS
        Press ENTER on Window
        Press ENTER on Xmin
        Type in your largest x value
        Press STO ->
        Press VARS
        Press ENTER on Window
        Press ENTER on Xmax
        Repeat these steps for the y min/max
        Press VARS
        Move right and press Y-VARS
        Press #4 on/off
        Press FnOff
        Press 2nd DRAW
        Press ClrDraw
  3. Label each section of the graph 1, 2, 3, 4, …so you know which
     equation you are working on throughout the project.

  4. Begin with section 1 and the points you labeled to derive various
     equations (linear, quadratics, cubics, circles, exponentials, …).

  5. Once you derive the first few equations, translate them into the
     program language of the TI-83 (plus).
         Use DRAWF when graphing a function
                * DRAWF is found under 2nd DRAW (behind PGRM) #6
                * Enter the equation DIVIDED by the domains
                * Domains must be split up

        EX: For y=3x^2+5x-9 with domain 3  x  7 you would type in:
                 DRAWF (3x^2+5x-9) / (3  x) / (x  7)

        EX: For y=8 with domain –2  x  1 you would type in:
                  DRAWF (8) / (-2  x) / (x  1)

           Use LINE when graphing a vertical line
                  * LINE is found uner 2nd DRAW #2
                  * Type in the two end points for the vertical line

        EX: For a vertical line x=4 with endpoints of (4,-5) and (4,3) you would type
        in: LINE(4,-5,4,3)

           Use CIRCLE when drawing a circle
                  * CIRCLE is found under 2nd DRAW #9
                  * Enter in the center point and radius of circle

        EX: For a circle with center (-3,8) and radius 2, you would type in:
            CIRCLE(-3,8,2)

  6. Press ENTER after every equation you enter.

  7. After pressing ENTER for after your last equation, press 2nd Quit.

  8. Run your program after every few lines to make sure you are on the
     right track. To run your program Press PGRM, arrow down to you
     name, and press ENTER twice.

MAKING CHANGES
     To make changes to your programs, press PGRM and EDIT.
     To delete a line press DEL
     To insert a new command, press 2nd Insert, then ENTER


HOW TO PRINT OFF PICTURE:

     You need to go to www.ti.com and download the graph link
      program if you don’t already have it.

     Connect the graph link to your calculator and the computer.

     Open up the graph link program you downloaded.

     The image you want to appear on the computer needs to be
      showing on the calculator.

     Click on LINK at the top of the program, then GET SCREEN

     Click SAVE – save this picture to a disk or the computer.

     Change copy/print image to 200% or 300%

     Click PRINT


HOW TO PRINT OFF PROGRAM:

     You need to go to www.ti.com and download the graph link
      program if you don’t already have it.

     Connect the graph link to your calculator and the computer.

     Open up the graph link program you downloaded.

     Click LINK at the top and then RECEIVE.

     Click on the name of your program - then click ADD and OK

     Click SAVE – save this picture to a disk or the computer.

     Click PRINT
Program that created this pencil:

-7->Xmin
7->Xmax
-5->Ymin
6->Ymax
FnOff
ClrDraw
Line(-2,3.2,-2,-2)
DrawF (-.45X^2+5)/(-2  X)/(X  2)
Line(2,3.2,2,-2)
DrawF 3.2/(-2  X)/(X  2)
DrawF 2.7/(-2  X)/(X  2)
DrawF (-X-4)/(-2  X)/(X  0)
DrawF (X-4)/(0  X)/(X  2)
Line(-1,2.7,-1,-2.2)
Line(0,2.7,0,-2)
Line(1,2.7,1,-2.2)
DrawF (-.2X-2.4)/(-2  X)/(X  -1)
DrawF (.2X-2)/(ú1÷X)/(X÷0)
DrawF (-.2X-2)/(0  X)/(X  1)
DrawF (.2X-2.4)/(1  X)/(X  2)

				
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posted:12/26/2010
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