HiDarby. When I go to a class or workshop, I stuff my supplies into the wheeled tote with the sewing machine. I can put lots in there. Sometimes there are things that won't fit and those have to be taken in another bag, but not often.
Depending on what and how much i need to bring along, I sometimes use one of those clear plastic ArtBin containers. I've also used just a regular tote. I read somewhere that someone used a soft sided briefcase. I already had a LandsEnd case and it worked out well...had lots of pockets for rotary cutters and scissors, pencils, a big pocket for fabric.
I also have a box on wheels. Just kinda depends on what I'm bringing.
Good luck with your class. I hope you have fun and make a beautiful quilt! Come on back here for advice or help if you need it!
I also have one of the rolling sewing machine bags, with lots of pockets, that I keep everything orgnized in...I also have a small basket that I strap on top that looks like one of those folding shopping baskets...it's so handy...
I am in the process of making a case to hold my rulers and cutting mat...I don't really take classes either, but sometimes I just like to take fabrics to cut while I am at my 3 hr Friday sit and sew