Form a partnership with your beginning reader by setting aside fifteen or twenty minutes a day to read with rather than to your child. (That’s what makes you a partner rather than story reader.)
If you can’t spare the time, an older brother or sister or a babysitter might be willing.
Here are a couple of techniques [...]

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. [...]