Turn the cook top off. Remove the plastic item that melted on the stove. Do not try to remove the burnt plastic yet.
Fill a sandwich bag with several ice cubes. Hold the ice cube-filled bag over the burned plastic for several minutes until the plastic becomes hard and brittle.
Scrape the burned plastic carefully off the cook top with a window scraper that has a razor blade attach. When scraping, apply a gentle and light pressure as not to damage the surface of the stove top.
Hold the ice cube-filled bag on the plastic if resistance is met, and continue scraping until the burned plastic has been removed.
Dampen a clean sponge in cold water. Cover one side of the sponge with baking soda. Scrub the cook top gently with the baking soda.
Wipe the baking soda residue off the stove with a damp paper towel and dry with a lint-free cloth.