Hi! Teacher here
Around here, cursive is taught anywhere from 2nd-4th grade.
Teachers at my school always ask the parents to
PLEASE not try to teach cursive at home. There is one correct, proper way to teach each stroke & many times the kids learn incorrectly. Once they've formed a bad habit, it's VERY hard to break them of it. (Just like when a parent proudly say at the start of Kindergarten that their kid can already print their name. Then we come to find out they taught them their name in ALL CAPITALS!!

OH that's a hard habit to break!!!)
I'm not sure why some parents are always in a hurry to have their kids learn cursive. I got a homeschooled student entered into my class in late spring this year (I teach 1st grade) & her mother had
ONLY taught her cursive. The kid could
NOT print.
If your child's school hasn't taught it yet, I wouldn't be worried.