Golden ragwort (Packera aurea) is a great shade-tolerant ground cover you can grow in winter. It's cold hardy in zones 3 through 8. It spreads out quickly by rhizomes to form a dense mat, just ...

This quickly spreading ground cover forms a tight, six- to 10-inch tall mass of shiny green foliage that blushes bright red and bronze beginning in early fall.

The large leaves are what make this plant such an effective ground cover. As the plant matures, the leaves spread out, forming a tight, continuous mat that shades the ground against weeds.

My favorite ground cover for sloping areas in full sun is Snow-in-Summer (Cerastium tomentosum). Creeping Potentilla, Utah Sedum, and Sweet Woodruff will also do well on sloping areas in sun or shade.