In the last few weeks, the increased use of Google Classroom has been astounding. As more content gets added to a Classroom, the Stream can get quite cluttered. I recommend that you turn off Classwork notifications on your Stream so that you can use the Stream for announcements only, or even better, as a discussion board for you and your students. Students can still see the Classwork on that tab, and if you are using Topics, they can even filter by topic, making things even easier to find.
Below is a short video tutorial on how to change your Stream notifications along with a visual of the steps.