People with dementia face a decline of their cognitive functions, including memory impairment and difficulty to orient in time and space. Assistive applications can ease the effects of dementia by assuming and supporting impaired functions. Context-awareness is an accepted paradigm for assistive applications. It enables interactive systems to react appropriately to situations that occur during daily routines of people with dementia. However, there currently is no recommended framework to view symptoms of dementia in terms of context and context-awareness. The aim of this paper is to inform designers in the early design stages of assistive applications how requirements and needs of people with dementia can be represented in a context-aware application. Based on a systematic literature review, we elicit which context types are linked to the needs of people with dementia and their caregivers and how they are used in existing assistive applications in dementia care. Our focus is on applications evaluated and assessed with people with dementia. We also classify these assistive applications by the offered context-aware services. We observe that these should not be limited within the realm of the local residence; context types that are valuable in-house can, to a certain extent, also be leveraged outside a local residence. We believe the proposed framework is a tool for application builders and interface designers to accomplish an informed design of systems for people with dementia.