Yup, absolutely did have to do both square dancing in early to mid 80s in gym/PE class, but also had to do other dances to 'skip to my lou' while also skipping circles around the record player our teacher put in the middle of the floor.

There were four 5th grade teachers in my grade school, and my 5th grade teacher was the only one who taught square dancing. We didn't do square dancing in PE; we did it as a part of our scholastic curriculum. All year long. No one else. Just us.