One embodiment provides a gaming system providing a multiple streak game associated with a base or primary wagering game. The multiple streak game includes a multiple streak having a multiple streak continuation condition and a single streak having a single streak continuation condition. The multiple streak is initially the active streak. If an outcome a play of the base or primary wagering game satisfies the multiple streak continuation condition, the multiple streak remains the active streak and the player may win an award. If the outcome does not satisfy the multiple streak continuation condition but satisfies the single streak continuation condition, the multiple streak ends, the at least one single streak is set as the active streak, and the player may win an award. If the outcome does not satisfy either the multiple streak continuation condition or the at least one single streak continuation condition, the multiple streak game ends.