The very first songs Suzuki violin students learn are the Twinkle Variations. The five variations are Twinkle, Twinkle Little Star played with different rhythms.
Every teacher has their own names for the variations, and I change mine every couple of months, but here are the names I am using right now:
Taka Taka Stop Stop
Apple my Apple (you could substitute "apple" for the student's name)
Run Pony, Run Pony
See you Later Alligator
Twinkle, Twinkle Little Star
Here is a video I made that shows how to play the rhythms of the five variations on the "A" and "E"strings.
Beginning students can watch this and then practice the rhythms on their open strings.