Rose of Sharon can be propagated from hardwood or softwood cuttings. Softwood refers to the stage just as the stem elongates but before it begins to turn woody. Hardwood is the stage after it becomes woody, but is still in its first year of growth. In either case, take a stem tip piece 4-8 inches long. Remove all but a couple leaves at the tip of the stem. Dip the cut end in rooting hormone, and stick the cutting in a rooting medium such as half peat and half perlite. Keep the rooting medium moist but not soggy. Cover the cuttings with plastic to maintain high humidity until rooting occurs, which can take several weeks to several months.