You can use a staggered schedule to push out the same assignment to multiple sections or learning groups, while selecting a start date, start and end time, and due date that is different for each group.
Written Instructions:
On your Assignment Settings page, scroll down to "Assignment Schedule."
The default is "Same schedule for everyone." This works if you have only one section, or want all of your sections/Learning Groups to receive the assignment simultaneously.
To stagger the schedules, click, "By section or learning group." You will then select your sections and schedules at the bottom of the page.
At the bottom of the page, select the sections and/or Learning Groups you'd like to receive the assignment.