Yes!
You'll have access to a special teacher dashboard. This will enable you to invite students to the program, to monitor their progress as they complete the course, to see their quiz scores, and to view their writing submissions.
That said, it's important to keep in mind that LearnArgument's coursework is designed to teach for mastery, which means that students can take (and retake, and retake) assessments until they demonstrate an understanding of the concepts or skills being taught.
The certificate that students earn upon finishing of the course is their proof of completion, and can be checked for credit at the start of the school year.
In the final modules of the course, students are informed that the writing they submit won't be "checked" before generating a certificate of completion, but that their teacher may be able to view and score their writing. (If this is something you intend to do, we encourage you to reinforce this with your students!)