Are you saying that another member of your class is doing polymer clay and making jewelry, so you want to make something else from polymer clay?
And are you wanting them to make something that those in occupational therapy might do if they're physically disabled, or just anything your classmates could make? (if it's something like that, you might want to take a look at this page at my site, and also give more info about the limitations in another post:http://www.glassattic.com/polymer/disabilities.htm
Otherwise there are lots of quite different things that could be made from polymer clay by reasonably-grown up students in a fairly short amount of time (how much time DO you have? --that could matter too).
You mentioned "little pots made from long snakes that are wrapped around" but I'm not sure quite what that means. Are you referring to the "coiled pots" often made from "coils" (ropes) of earth clay, which can later be smoothed to make a bowl or vase, etc.? You could certainly do that with polymer clay, but that's more of an earth-clay technique since polymer clay can be shaped and cured much thinner from the start.
If you want to make something like a bowl from polymer clay, one thing I taught in a class of 6th graders was to make bowls in two ways:
...one was using cane slices (I took some ready-made canes since I wanted them to make 2 bowls in our 70-minute class, but they'd also learned to make simple ones the previous lesson) which they placed on the back of a glass custard cup or one of the other glass or metal items I'd brought, then baked... they just pop off after baking
...the other was just marbling some clay or something similar, making it into a medium-thickness large disk, then "draping" it over a glass custard dish or other form (with a tissue on it to avoid shiny spots)... sometimes they fluted the edges that hung over or added a few cane slices before draping etc.... after baking those just lift off
(if you want to check out some of the ones the kids made, you can see them in the first few photos on this page --the "cane-slice" bowls are mixed in with the "draped" bowls, but you can probably tell which is which easily:http://s96.photobucket.com/albums/l163/DianeBB/bowls-boxes
Bowls (or trays) can be good because they can be used for all kinds of things later (not eating though--unless you want to leave the glass part in place) and can be any size or shape, and there's a lot of room for personal decisions in design.
If you want some lessons on making those, or want other things to do instead, just describe a bit more what you're looking for, how much you have to spend, whether you're using Sculpey III or not (no bowls in that case), how long you have for creating and for baking, etc., etc.