My advice as a former rehab nurse is to review meds first....many rehab patients are on multiple meds such as opiates, diuretics, and antihypertensives, all of which can contribute to falls. They also take blood thinners which put them at higher risk for internal and external bleeding.
Additionally, I checked orthostatic blood pressure readings on at least three occasions to see if their BP dropped when they rose from lying to sitting to standing, and when someone did fall I'd do a urine dip to see if they were brewing a UTI (another extremely common cause of falls) and follow up accordingly. Body pillows, tucked strategically into a resident's bed, help to prevent falls due to rolling OOB. Toileting before and after meals, and before bedtime, eliminate many falls that occur because a resident needs to use the bathroom and they've forgotten they need help with that. Frequent (Q 30-60 mins.) visual checks combined with offers of toileting, food/drink, or pain meds can also be worth the time and trouble it takes to do them.
Just a few ideas.......use them as you wish.