I know the difference in meaning between the two: できます being "to be able to" or "can do", and わかります being "to understand how to" or "to know". I also know a simple sentence structure for both: "Person は Noun が (できます/わかります)" However, I can't understand which one to use in a sentence. Especially with the use of dictionary form verbs and こと in place of the noun.
I am trying to learn about this grammar point for a test and I just don't understand them. Here is an image of my notes so you see exactly what I'm seeing: