If your practice has the Departments feature (read more about this here), you can move the patient from department to department easily!
On the iPad:
In Editing mode of the patient's flow sheet, tap "Edit Info":
Then tap on the department the patient is currently in (ie Surgery) and choose the department's whiteboard you wish to transfer them to and tap "Done":
The patient will now show up on the new department's whiteboard!
You can view a video of this feature here: