The ability to recognise and produce rhyming words is an important phonological skill. Research indicates that there is a correlation between phonological awareness and reading ability. So it is important to spend time playing with rhymes together.
There are so many rhyming books available. Just before school closed we were reading the 'Oi Frog!' series by Kes Gray. Copying the pattern is an easy way to encourage your child to begin to discriminate and generate rhyming words. The game below might be a helpful starting activity.
This alliteration game is good fun and can be made more difficult by trying to think of a name or describing word for each of the animals - Bertha the Bus goes to the zoo and she sees Sarah snake, silly seal, sad starfish....
Scaffold and model and support this activity (and every activity!) so that your child enjoys it and want to play regularly.
Rhyming Strips - Odd One Out
Obviously we don't expect your child to be able to complete this activity immediately. Understanding rhyme takes time and experience so we would be experimenting with rhyming words every day in Nursery to help the children to begin to 'tune in' to the sounds.
Model for your child how to name each picture listening for the odd one out. Encourage them to extend rhyming strings that you've started, perhaps using pictures to support - mat, rat, bat, fat... [pictures of cat, hat and fish to choose from]