A method for conducting a wagering game includes awarding a plurality of positional game modifiers and a plurality of plays of the wagering game. Each play includes a set of assignable positions such that a plurality of sets of assignable positions occur over the plurality of plays, at least some of the assignable positions bearing symbols. The plurality of positional game modifiers are randomly assigned to positions in the plurality of sets of assignable positions. The plurality of plays are displayed on a display device. A processor is used to determine an outcome of each of the plays taking into account any of the positional game modifiers assigned to the positions in the set of assignable positions of each play.