We love doing hand clapping games. We've taught "Three Sailors" and "Miss Suzy Had a Turtle" with two very basic hand clapping patterns. We found "this version of "Down, Down Baby" to be easy enough for kindergarten age to have fun with, and we used it all the way up to 5th grade age.
To introduce our students to rhythm, we like using hand clapping games. They are developmentally appropriate. They rhyme. Most kids really like them!
Here is one we started out with that was easy to learn and easy to teach. It can be done with a minimum of two people, with no maximum limit. It was a hit.
Please visit http://funclapping.com/ for the words and more fun hand clapping games.