General help

Hi Steve. Good question because basically what you call it is up to you - as long as everyone knows what you mean and uses the same term The official Moodle terms are here Moodle key terms In general, the whole thing is known as "Moodle" as Moodle is what you download and install, but some places give it their own name or call it, for example "our university's LMS"

Then you create courses for instructors to add their content to and for students to access. So personally, to answer your  question What does one call that part of Moodle which I modify as an instructor to run the course?  I would say "  my Moodle course" As an instructor, you are editing the course - perhaps using features in the Course administration block, such as the Gradebook. Some places, particularly in the US, it seems, use the word "class" to mean "course" but to me (again, it's personal semantics) a class is the group of people as human beings who actually log into and "do" the "course".

Now over to others

Steve, we call them "Moodle class sites" on our program. Officially we have students enrolled under course codes, but we don't teach at that level, instead, we teach multiple separate classes under each course, hence the use of the word class. Most facilitators who teach the classes seem to call them class too. Since we teach instances online and in face to face classes, sticking to the word class helps.

Then again I am talking business grad school. If a teacher walked in and said "hello class", I think the students would find it pretty odd. So what nomenclature you use is all related to your context...