A device with a display and a touch-sensitive surface displays a user interface including a user interface object at a first location. While displaying the user interface, the device detects a portion of an input, including a contact at a location on the touch-sensitive surface corresponding to the user interface object. In response to detecting the portion of the input: upon determining that the portion of the input meets menu-display criteria, the device displays a plurality of selectable options that corresponds to the user interface object on the display; and, upon determining that the portion of the input meets object-move criteria, the device moves the user interface object or a representation thereof from the first location to a second location according to the movement of the contact.