A computing device is described that changes input modes associated with a presence-sensitive screen, based on tactile user inputs detected by touch and/or pressure sensors that are distinct from the presence-sensitive screen. Input modes define the actions taken by a computing device in response to receiving indications of user input at the presence-sensitive screen, such as navigating through a user interface of the computing device, adjusting a setting of the computing device, or altering a state of the computing device. The computing device interprets inputs detected at the sensors to change which functions are performed when a user provides subsequent inputs at the presence-sensitive screen. This way, a computing device can use its presence-sensitive screen to detect more types of inputs that, traditionally, might require additional input components (e.g., a mechanical button, a mechanical switch, etc.) beyond just the presence-sensitive screen.