i have a toolbox for working. i keep everything in it, especially when i need to be flexible and know what i like to work with won't necessarily be available, eg scales, japanese mandolins, scissors, or candy thermometers, you name it.
in the classroom however, it's (usually) very predictable what is available, and what you'll actually need. so i will take my measly little knife roll and put only what is needed in it, and take that to school, instead of my toolbox.
in my baking and pastry classes i actually wouldn't bring knives in at all (since pastry students love to destroy knives as they often have no idea what they are doing with them), because I knew i could always borrow someone elses because i always ask nicely and know how to play with others.
go lean in school, i think there's some value in trying to anticipate what's going to happen in school and be as efficient with your time and space as much as possible because at the end of the day the worst thing that can happen is that Chef will tell you that you are wrong.
and that's how we learn.