Mapping
Ver. 1.0

By: Sean Weeks
probyte@collegeclub.com

http://home.collegeclub.com/probyte/




Note: It is highly recommended that you read this before attempting to use the mapping utility.

Mapping is an extremely useful program for geometry, this program is focused on transformational geometry. It will probably be difficult to use at first, but once you get used to it, you should find it very very useful. This program is very powerful.

To use the program:


You must start off by uploading mapping.83p onto your calculator, and if you wish, you can upload a shape and maputils.83p You do not need the pictures.

MAPPING - Main program to transform shapes
MAPUTILS - Utility program to load number lists into LSHAPE
LSHAPE - List of shape's coordinates
LZMAPZ - Temporary List of shape's modified(transformed) coordinates
LZMAPG - Configuration file (only delete it if you are deleting the main program)

Now, run the MAPPING program on your calculator and select options>, then quit program. You must run the program at least once on your calculator before inputting values into the list LSHAPE, or the list of coordinates will be erased.

Now to input the coordinates of a shape, lets say a simple triangle. You can do by using the STAT Edit... function. So press STAT and then EDIT... Now move the cursor to a blank space on the top row, if you don't have one, Press 2nd Insert.

Then press 2nd STAT and select SHAPE off the list. Now move the cursor to SHAPE(1)= and type in the first x coordinate. Then press enter and enter the first y coordinate. Then press enter and enter the second x coordinate, then the second y coordinate. Continue this until you have entered all the coordinates for the shape. On the last x and y coordinate, put in the first x and y coordinates so that the triangle will have a line that goes back to the beginning of the shape if you want it to.

Example:

Triangle
A(-3,-1) B(4,-2) C(4,6)

Becomes:

(you can't see the -3 and -1 above the 4 -2)

Now run the program MAPPING. Then select ZOOM and FIT SHAPE so the program will automatically set the zoom 1.5 times the size of your shape. Now select TRANSFORM> and then DispGraph. You should see:



Press Enter, select TRANSLATION and enter 3, then -2 You should see:



Now to see the old coordinates and the modified ones, press enter, then OPTIONS> then VIEW COORDS. If there is too many coordinates too display, press enter until you are returned to the options menu.

Now you can continue modifying your shape, by doing one transformation after another.

The Program will return the shape's coordinates to their original if you quit the program, select reset POINTS, ZOOM, or FORMAT.

Menu Items:

TRANSFORM>	goes to the transformation menu.
VIEW COORDS	shows you the original x,y on the first line, modified x,y on the second, original second x,y on the third, modified second x,y on the forth and so on... Press enter through all the coordinated until you are returned to the options menu.
reset POINTS	puts all the modified shape coordinates back to the original
ZOOM	Asks you if you want the current zoom settings, the ZSquare zoom (15*10) or the fit shape zoom. (1.5 times shape size)
FORMAT	Asks you if you want the axes on, and/or the grid on, which is a dot on each coordinate.
CLEAR LSHAPE	Asks you is you want to clear the list of coordinates, which you can edit by going STAT, Edit...
OPTIONS>	Returns to the options menu
t TRANSLATION	Enter the A and B value. The A is what will be added to x, and the B will be added to y.
s REFLECTION	Choose a reflection on the x axis, the y axis, or bisector 1,3 or 2,4
r ROTATION	Will ask you how many degrees to rotate counter clockwise. If you want to rotate clockwise, enter it as a negative. Ex: 75 degrees clockwise = -75
h DILATATION	Asks you how much you want to enlarge the shape on point (0,0). X*A = modified x , Y*B = modified y
? CUSTOM	This way you can enter any change to coordinates. If you want to see a shape under the transformation (x,y)->(2Y-X+2,Y+2), then enter 2Y-X+2 Enter Y+2 Enter. If you don't want to spend time re-entering a string for x, press 2nd STO-> VARS 7 Enter Enter. If you don't want to spend time re-entering a string for y, press 2nd STO-> VARS 7 2 Enter.
DispGraph	Shows what's on the graph screen. Press Enter to return to the transformation menu.

The option CLEAR LSHAPE will clear the coordinates list to one number, so when you quit the program and go back to STAT, EDIT.. You can enter new points.


Note to teachers: This program can be useful for quickly developing student's transformational geometry skills by being able to show them many types of transformations in a short time.

Please pass on this program!

If you find this program useful, you should also try Graph Mania for the TI-83.

Don't forget to check my web site for more calculator programs, photos, computer games, and other stuff!

I hope you enjoy the program! Please e-mail all bugs and comments to:

probyte@collegeclub.com