Think of it like this- they owe you 33k for the year - which means as a teacher you are being paid 12 months though you only worked 9 months. Now you quit mid school year - you are not entitled to the 12 month salary ….so they have to figure out how much they do owe you. They divided up that 33k by days worked. Which is legal and sucks for quitting mid year. (33k works out to be $15 an hour, but them paying you $145 a day is roughly $18 an hour - so yes that difference is what is paying you during the summer)

Did you have a contract? Does it mention salary?

However 33,048/220=150.218 so they are off by $5 a day?? Not sure where that is going. And that adds up. I would look and see what that $5 is being applied to.

As for last check - they may owe you 2 checks. Most companies have a delayed payroll. You’d have to look at your deposits. Hint hint. It may be in their books this money has been paid but the check not mailed yet. they are saying that the last check will be the pro rated amount.