* Guided reading sets - I have them going back to whole
* Big books - always helpful!
* Math manipulatives - Unifix/SnapCube/Linking Cubes, pattern
blocks, rainbow tiles, teddy bear counters, etc.
* Science Lab equipment such as scales, thermometers, etc.
This past spring, I cleaned out the room that I'd inherited
in the fall of 2015. There were enough pattern blocks in the
room to tile the entire library floor - I donated them to a
fifth grade that was trying to do tessellations with nothing.
I had enough snap cubes to build a room - I donated them to a
4th grade classroom that wanted to do a Math project on
measurement with them. I still have plenty to be able to
teach my own kinders.
To answer your other question: If the district owns
something, or the school, it isn't yours to keep if you move
to another district or even another school within the
district. If you bought it, you put your name on it and it's
yours. If PTA gives you a mini-grant to buy something, then
you have to negotiate. (I bought a small boombox, $150, about
14 years ago, and it died this summer. It was paid for half
from PTA mini-grant and half from me personally. So I had to
ask whose it was and how to dispose of it.)