How can I share classes with multiple teachers?

in SAIS, we teach the same class with multiple teachers for the Arts (by rotations). We find that the system changes locks us out when our time is done, but it would be good to see our old classes as we finish physical classes but haven't yet completed the marking. Also - SAIS has countered this by releasing all the classes to us, but all the names are plonked under the same class, so by Quarter 4 I will be seeing 60 kids in one classroom, when grading them. Is there a way to make this easier for everyone?