Several years ago I had an adult student who was a great jazz player. She felt all of her issues in playing music came from not understanding the circle of fifths. She came in with the diagram and explained it to me perfectly. I said that it sounded like she knew the information really well. But she insisted that I help her use the information within the context of a performance/piece, rather than in a theoretical sense – and especially not restricting it to key signatures.
It took me a while to wrap my head around what she was looking for, but I’m glad she was so adamant about this. Because the series of exercises we worked through and I later refined has become a staple for all of my students from and intermediate level and up. It helps with learning and memorizing large volumes of repertoire (in any genre), improvisation, composing, ear training and reading… Just to scratch the surface.
Here is the first step: