While museums are designed to engage and interest various audiences, teenagers are often a neglected segment. Without digital interactivity, it is challenging for a museum to remain exciting and relevant to a young, tech-savvy audience. Games can benefit museums by fostering positive attitudes towards museum spaces and creating more joyful destinations to promote meaningful informal learning combined with entertainment. We developed a dual-gamified mobile experience targeted at teenagers, for the Natural History Museum of Funchal, Portugal: a story-based strategy ( Memories of Carvalhal's Palace — Turning Point) and a game-based strategy ( Memories of Carvalhal's Palace — Haunted Encounters ). These strategies were studied in depth with 159 teenagers (15–19 years old) to understand how gamified strategies might enhance their user experience in a museum. On one hand, game-based strategies, in which game mechanics predominate, can catch a visitor's attention by displaying challenging questions that promote competition. On the other hand, story-based strategies, in which storytelling is prominent, can promote an emotional connection with the museum and exhibits and facilitate awareness of historical facts by including an engaging plot with high-quality media and tightly edited stories. This article reports on lessons learned that museum experience designers and curators can use in designing enjoyable, interactive experiences for teenage visitors.