With dysgraphia handwriting is messy, though, and there are usually a lot of errors like writing things backwards, forming letters incorrectly, not putting spaces between words, etc. Short samples might look Ok but beyond that it goes downhill.
When you tell her to write, is she copying from something else? And is she just starting school? Can she write her name or does she have problems with that too? I think if this is the first time you are asking her to write, and she hasn't had it in school before, it's probably normal. If it doesn't start to improve within a few weeks, and she's doing it daily in school, then there's probably something else going on.
Yeah she definitely writes some letters backwards (though I read this is still common at her age) and she forms some of the letters in a weird way.
When I was asking her to write the thank you notes, I had everything written on another paper and she just had to copy it.
She can write her name (though she does this with a mixture of capital and lowercase letters) and this is her second year in school. Last year in Kindergarten I know they did a writing workshop 3 days a week.
