My Hat It Has Three Corners
(source: "Jubilee Songbook", Girl Guides of Canada, 1971.)

My had it has three corners
Three corners has my hat
If it has not three corners
Then it is not my hat

Thanks very much to Loren Hebden who sent me the actions to this song!

Actions:

My: hand on chest
Hat: point to head
Three: 3 fingers
Corners: point to elbow

The 1st time you sing the song, do all actions and words; the 2nd time, don't say 'my' only do the action; the 3rd time, only action for 'hat', 4th time, only action for 'Three', 5th time, only action for 'corners'.