My university math and even my high school calculus class was pretty much like this.

We had homework assigned and in the high school class the teacher spent part of class time reviewing and taking questions about the previous homework set. In the university classes this was done in a discussion section or in office hours.

In high school the homework was supposed to all be in one notebook which would be reviewed periodically but only to see that some effort was being made, it was not graded. It counted maybe 10% of the grade. In the university classes it wasn't even looked at.

The vast majority of the grade was based on quizes and exams, we were typically allowed to bring one standard-sized page of notes for these, and a calculator.

This was all in the 1980s time frame.