Another word for "basic understanding"

Solution 1:

Acquaintance/familiarity may work.

"Students who attend this lesson should walk away with (basic) acquaintance/familiarity with ...".
"Students who attend this lesson should walk away acquainted/familiarized with ...".

M-W:

acquaintance noun
1b :  personal knowledge :  familiarity : had no acquaintance with the facts of the case

While he has some acquaintance with the subject, he is not an expert.

familiarize verb
2:  to make well acquainted : familiarize students with good literature