Using the Assignment Tool
Assignments can be added to Blackboard and a column in the grade book is automatically created at that time that is linked to the assignment. When an instructor wants to grade the assignment they go to the grade book and click on the student's submission. The system can render the submitted document in the browser window or the instructor can download the submission for viewing on their local machine. After the grade is entered and submitted the system will offer the next student's submission and the instructor can continue grading. There are a host of settings that can control point values, submission parameters, grade displays and more.
For more information on the Assignment tool visit Blackboard's documentation.