On the other hand, I also try to avoid tying my school online identity to my personal online identity, and leave my school account for school. That also means not doing anything personal on district provided chromebooks. However, I only really know to do this due to knowledge in technology focused areas, not something most students have.
My main issue with this sort of tracking is that the students are very loosely told what it is tracked and how; at our school, students were told that the chromebooks used gaggle and not much more than that.
Overall, students and parents should definitely be better taught as to what occurs with surveillance, and in my opinion the current level of surveillance is extremely excessive.