The invention features polypeptides that include an extracellular ActRlla variant. In some embodiments, a polypeptide of the invention includes an extracellular ActRlla variant fused to an Fc domain monomer or moiety. The invention also features pharmaceutical compositions and methods of using the polypeptides to treat diseases and conditions involving bone damage, e.g., primary osteoporosis, secondary osteoporosis, osteopenia, osteopetrosis, fracture, bone cancer or cancer metastasis-related bone loss, Paget's disease, renal osteodystrophy, treatment-related bone loss, diet-related bone loss, bone loss associated with the treatment of obesity, low gravity-related bone loss, or immobility-related bone loss.