I am a math teacher (11th grade) trying to bring to life a lesson that lets students explore transformations on point matrices using a graphing calculator. I am willing to hire someone to help me write the code that allows me to have students recreate the project my teacher made 20 years ago. My school has no coding class and I am not a programmer. I've been trying to find the program set up for 3 years.

The project:
Create a point matrix and enter it into the calculator.
Students program the initial code into their calculator following a typed-up set of instructions.
Using a set of predefined steps, students are able to type in the matrix calculation to transform the previous shape (or a previously defined image in the process) to create a new shape on the same graph.
Ex: [transformation][matrix A]-->store [A] -->prompt--> graph image
The program runs by hitting a key repeatedly to view the next graph.

Students enter everything as matrices (not lists)
Student work is minimally coding-based, and more immediate exploration-based.
I can use this for basic call functions, vector graphics, and so much more.
For a point matrix, I assume you mean 2 columns x a variable number of rows, where the columns are (x, y)? I've put that together, with these features:
  • Enter any number of shapes as matrices. All are concatenated into one matrix, so you're not limited to the number of matrices the calculator has.
  • Apply any 2x2 transformation to the shapes entered thus far
  • Interleave entering shapes and applying transformations
  • Auto-scaling graphscreen bounds always contains the shapes

Here's the code; if this matches what you're looking for, I can upload it to the archives for easy download.

Edit: I read the requirements more carefully, and it looks like you want a program where you can enter the steps ahead of time, then replay them one at a time. This doesn't do that, but let me know if that is indeed what you're looking for.

// Don't draw any functions
// Don't draw any statistics plots
0->dim(L1) // List of shape-starting indices
DelVar [A] // All shapes
0->Q // Quit
Repeat Q
   0->O // Operation
   Lbl Q
   1->Q // Quit
   Lbl T
   Lbl A
   If not(Q)
      If 1=O
         0->V // Valid entry
         Repeat V
            Disp "ENTER A MATRIX","OF X,Y POINTS.","START WITH [],","ADD [ROW][ROW]","EX: [[0,2][2,2]","[1,0]]"
            Input [B]
            If 2!=Ans(2
               Pause "NEED 2 COLS X,Y"
               If 1=Ans(1
                  Pause "NEED >=2 ROWS"
         If 0=dim(L1
            // Now we have a valid matrix to add
         If not(dim(L1))
            Pause "NEED SHAPE"
            Repeat V
               Disp "ENTER 2X2 TRANSF","ORMATION MATRIX"
               Input [B]
               If 2=Ans(1) and 2=Ans(2)
                  Pause "NEED 2X2 MAT"
      If dim(L1
         // Determine the graphscreen bounds
         DelVar L2
         DelVar L3
         // Draw it
            // Start is L1(X
            // End is E
            If X=dim(L1
            // Loop over points
      End // End of drawing
   End // End of not-quit conditional
End // End of if-quit repetition
First of all - I want to thank you immensely for the help!

Can you explain better how to use the code? It's not quite what I was thinking BUT you have sections in it that are VERY familiar and I want to understand how to use the program you wrote.

***Ultimate Goal***
To have an initial code that will allow students to explore matrix transformations of shapes and old-school stop-motion animation. Using a point matrix (x is top row, y is bottom row - similar to what you did but left-handed instead of right-handed computations, if that makes sense)
1) Start code is programmed by all students that enables matrix to be put in as a graph and new matrices added.
2) Students' continued work consists of the following process
- enter in transformation matrix (or series of matrices) to build the "next image" to be displayed
- call up a matrix to transform (previous matrix what what I did in HS but I know we were able to use any matrix we stored into the calculator menu or program, provided we gave it a name not [A])
- Student types code to store into designated spot and the new image appears with the old image on the graph.
3) The program runs by creating the first image, then each subsequent image on the screen in the order of their programming when a specified key is struck (arrow, enter, etc).

I'm clearly not a coder so if unclear, I can send you a link to a file with the example project (not code but handwritten process) I did in high school and the final image.
The image(s) would be really helpful, even if just hand-drawn: please feel free to upload to imgur and add the image(s) to your post.

I see, having the students do some coding is part of the project as well. Do you recall if they edited a program that had the drawing and matrix manipulation code in it, inserting matrices, or if they were provided subprograms that they could call (e.g. via :prgmDRAWMAT) for tasks like drawing the current matrix?
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