Children pick up sound patterns very quickly. After you recite nursery rhyme to your children two or three times, they may be able to fill in the end rhymes if you pause.
Read a nursery rhyme aloud to your children. Then read it again, but this time ask your children to repeat each line after you. Once they’re familiar with a rhyme, pause to let them supply the rhyming word at the end of a line. For example ‘Jack and Jill went up the …‘ Before long, they’ll be able to recite most or all of the rhyme without a cue from you.
Besides nursery rhymes, your children may enjoy rhyming books and longer poems from a children’s anthology. See if your library has an appealing collection, but don’t hesitate to share some of your own favorite verse.