There are several ways to assess assignments:
The grades you manually enter for quizzes, discussions, and assignments grade items are automatically synchronized back to Quizzes, Discussions and Assignments.
You must have the See and Manage Assignments and View Submitted Files permissions to view the Submissions Log.
The File Submissions area of Assignments has a log that can be filtered to determine if and when a learner submitted a file, and whether the learner or instructor deleted the submission.
Do the following:
On the Assignment page of your course, select the small downward pointing arrow to open a drop down menu. Then, select Submission Log.
Filter the log as applicable, by Submitted (shows all submissions), Deleted, Restored, or Started.
Sort by Date, Event or Submission.
You must have the See and Manage Assignments and View Submitted Files permissions to view the Submission Log.
On the navigation bar, choose "Assessments" dropdown and then select Assignments item.