I'm an elementary teacher from Minnesota. I'd like to add a hand clapping, patting game I learned from some first grade girls back in the 1970's. They claaed it "Billy Boy." As they chanted the lyrics they clapped their own hands, then the opposite hand of their partner, then their own opposite shoulders, and finally their knees.

"When Billy Boy was one (sung as two syllables) he learned to suck his thu-umb, (two syllables again.)
Thumb-dee-ah-dah, thumb-dee-ah-dah,
Half past one, cross down,

When Billy boy was two-o, he learned to tie his shoe-oo,
Two-dee-ah-dah, two-dee-ah dah,
Half past two cross down." etc.

three: climb a tree,
four: shut the door,
five: jump and dive,
six: pick up sticks,
seven: got to heaven,
eight: clean his plate,
nine: sing this rhyme,
ten: he learned to say, 'THE END!'"

Now, before I go, does anyone remember a silly campfire song named, "Adelina, Madelina?"

"Adelina, Madelina Whoops Diner Waffle Iron Hokum Stokum Pokum was her name.
She had two teeth in her mouth, one pointed north and the other pointed south."   etc.