or have it count to a small part of the grade.
Basically, perhaps construct a class like this
1) HW 20% of the grade
2) Quiz (say 1 Q a week related to homework that was returned a week ago, give students a chance to figure out what they did wrong) - say 20% of grade
3) midterm and final, a 30/30 or 20/40 split.
one can adjust the percentages to achieve one's desired pedagogical goals.
personally, I don't find copying homework to be a problem if the student figures out what they copied. It's no worse than students frantically copying down everything the teacher puts on the board or slides which seems to be a common way students study.