One Wish for Google Classroom

I'm really liking the flexibility of Google Classroom. It is a very effective and intuitive blended learning tool. I wish it had an umbrella page for students so they could see all of their work at a glance. Perhaps they could somehow add a Google Calendar link or have assignments save automatically to Google Calendar but have it viewed within Classroom. I know that Google says that Classroom isn't going to be a full LMS, that this is not their vision for it.

Folks at my school are kicking around the idea that it replace our use of our current school information system to give and receive assignments. Students would miss their current ability to see all of their assignments at a glance.

To anyone whose school uses Google Classroom as its sole tool for announcements and assignments, what system have you put in place so that students can see all their work at a glance?

update in response to comment from Kyle B.
I should be more clear. I forgot a crucial clarification in my haste. I am aware that I can save my assignments to Calendar, but student have to go to calendar. I'm looking for more of a one stop shopping experience within Classroom.