Here are words to songs in 3/4 time - all in the public domain.
They accompany Math while Moving - Clapping Patterns and Sets.

1. The Man on the Flying Trapeze
2. Hey Diddle Diddle
3. Rock-a-bye Baby
4. Pat-a-Cake

1. The Man on the Flying Trapeze
written by George Leybourne in 1868
3/4 Time

He flies through the air with the greatest of ease,
This daring young man on the flying trapeze,
His movements are graceful, all girls he does please,
And my love he's purloined away.

2. Hey Diddle Diddle
by Mother Goose
3/4 Time

Hey diddle, diddle, the cat and the fiddle,
The cow jumped over the moon.
The little dog laughed to see such fun,
And the dish ran away with the spoon.

3. Rock-a-bye Baby
by Mother Goose
3/4 Time

Rock-a-bye baby, in the tree top,
When the wind blows the cradle will rock,
When the bough breaks the cradle will fall,
And down will come baby, cradle and all.

4. Pat-a-Cake
Traditional
3/4 Time

Pat-a-cake, pat-a-cake
Baker's man.
Bake us a cake
As fast as you can.
Mix it and prick it
And mark it with a B
Put it in the oven
For baby and me.

Related links:
Math while Moving series
Math while Moving - Counting
Math while Moving - Addition and Subtraction
Math while Moving - Learning to Tell Time
Math while Moving - Clapping Patterns and Sets
songs
Songs for a Circle Dance
Songs in 4/4 Time
Songs in 2/2 Time
Songs in 2/4 Time
Songs in 3/4 Time
Songs in 6/8 Time


Here is a book of very easy piano music, words and nursery rhymes that I've used more than any other! It can be ordered from Amazon.com at this link:
The Nursery Rhyme Book - a piano book