I've drawn up something to show exactly what I have right now:

I'm not too clear on 2 major parts:

1. Taking those groups and turning them into a boolean expression.

2. Simplifying the boolean expression (not using boolean algebra, I was told that was the point of the Karnaugh map is to skip that step essentially).

Help would be greatly appreciated. I don't expect people to be giving me answers to my homework, I just need help understanding this.