Reel-type games are described in which a player's progress towards an award of a bonus game is displayed to the player. The required triggering event for an award of a bonus game may be accumulated over multiple turns of the game. A bonus indicator (e.g., icon) is provided on the display in association with each reel of the reels. After a spin of the reels, the bonus indicator for a given reel is activated if a symbol associated with an award of a bonus game is presented on the given reel. As the player continues to play, whenever the symbol associated with the bonus game appears for the first time on a given reel, the associated bonus indicator is activated and remains activated. When all the indicators have become activated, a bonus game is awarded to the player.