In a colander, run cold water over broccoli to separate. Let drain.
In a mixing bowl, combine the egg, corn, cracker crumbs, and pepper.
In a 1-1/2-quart casserole, layer half of the broccoli, then half of the corn mixture. Top with the cheese slices.
Layer with the remaining broccoli, then corn mixture. Drizzle butter over top. Sprinkle with potato chips.
Bake in a 350 degree F oven for about 35 minutes. Serve warm. Makes 6 side-dish servings.