It is important to realize, that these skills may start to emerge at 5, but many children don't have them until age 6 or 7. Despite this, schools push children to write in grammatically correct sentences at 5, when they should instead be teaching handwriting in a very slow and steady way.

Should a 3 year old be able to write their name?

Your 3-year-old now

Some threes even start writing their name, or a few letters of it. But writing is one of those developmental milestones that varies greatly from child to child. Don't stress out if your child isn't even interested in writing. ... Other letters may not look quite right either.

Should a 4 year old be able to write their name?

There is no age that your child must know how to write his name. It will probably start emerging around 4 years, maybe a little earlier or later. If your child is too young developmentally to be expected to write, then the same applies to his name.