The Leonid meteor shower peaks around midnight on Saturday night with another peak forecasted for Tuesday of next week. At the peak of the shower, 10-15 meteors per hour are forecasted in the sky.
Space.com says "It all began on the night of Nov. 12, 1833, when the Western Hemisphere unexpectedly came under attack by a firestorm of shooting stars that were reportedly silent, but overwhelming filled the sky."
Year after year the shooting stars have returned to the sky for one of the most impressive annual meteor showers.
The below sky map is from Space.com. Around midnight Saturday night look East and you should see some shooting starts.