Think of 'map onto' as aligning one thing over another, like overlaying images. The new interface is designed to map intuitive gestures onto common commands.
Pro Tip 2/3
Not Literal
Used figuratively, not implying an actual map or physical geography. The novel's characters map onto real historical figures.
Pro Tip 3/3
Context Sensitive
Its meaning varies by context, often implying precision, alignment or similarity. Can we map our solutions onto the client's specific problems?