As Mark said, MAKE is all about creation. MAKE a cake for example.
I also like to point out that DO often replaces other verbs.
Do the dishes (wash)
Do the laundry (clean)
Do my homework (write)
As for teaching this, I like to write sentences with DO and have the students replace it with other verbs.
PS: Here's a do/make test if anyone wants.
Learn English Online - Vocabulary - Do vs. Make Test