I used think there were at least 3 or 4 good ways to fix the school schedule.
4 days for students 5 days for teachers
If teachers gave up their prep time (for secondary teachers) and we extended the length of the school day we could have the same amount of instruction time. Now, this may mean we teach fewer things but we could be more focused with that teaching. We would have longer times in each course like an A/B Block day and we as teachers would have an entire day for Prep and Professional development each week. As a teacher I could plan and get prepared for the entire upcoming week without interruptions. I could update all the grades every week.
There are other options, I just love this idea.