I doubt there are apps for the classroom that we out in the general public will know about. I assume there are apps you have for your register, grade book, and any special apps for your curriculum, department, school, or school system.
As others have point out much of this comes down to which OS you can run. White Macbook 7,1 runs Mavericks and will run Yosemite just file. If the performance is slower than you want, ask the school IT folks to jack up the memory to 8GB (less than $100) and replace the HD with an SSD (500GB Samsung EVP 840 is around $260). Those chances could greatly step the performance.
I have done one of the 2010 Macbook 7,1 for the niece. I just bought a couple more on ebay that I will refurb. One goes to the same niece so her 4 kids have two MacBooks to share. One goes to my brother who has retired and finally given up on Windows. And the third goes to a friend's grandson.