# artwork

Document Sample

```					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
    Press ENTER

3. Domain and Range
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:

program if you don’t already have it.

   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:

program if you don’t already have it.

   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)

```
DOCUMENT INFO
Shared By:
Categories:
Stats:
 views: 16 posted: 12/26/2010 language: English pages: 6