Intro
The method you use to finish concrete steps with mortared brick depends on whether you're pouring new steps or finishing existing steps. In both cases, the surface of the top step must be lower than the doorsill. If the surface will end up too high, you'll have to change the doorway or redesign the steps.
If you're pouring new steps, allow for the thickness of the brick and the mortar bed when you compute the unit rise. A computed unit rise of 6-1/2 inches, for example, finished with 2-1/4-inch-thick brick, would leave room for a 3-7/8-inch-thick concrete base. This thickness is probably strong enough for mortared steps but may not satisfy local building codes. You may have to change the number of steps to provide a thick enough base.
If you're adding brick to existing steps, and they won't interfere with the door opening, use the technique illustrated here. The forms provide edges that will keep the brick in line.
Checklist
Time
8 to 12 hours to finish four steps
Tools
Hammer, mixing tub, mason's trowel, screed, level, rubber mallet, small sledgehammer, brick set, mortar bag, paintbrush, jointer, burlap rag, carpenter's pencil
Skills
Building forms, screeding, laying brick
Prep
Repair existing slab
Materials
1-1/4-inch screws, 2x4, 1x4, 3/4-inch plywood, Type M mortar, bricks,
stones, portland cement