Growing sedum is easy! When growing sedum, keep in mind that sedum plants need very little attention or care. They will thrive in conditions that many other plants thrive in, but will do just as well in less hospitable areas. They are ideal for that part of your garden that gets too much sun or too little water to grow anything else. A common name for sedum is stonecrop, due to the fact that many gardeners joke that only stones need less care and live longer!