I don't know whether or not it is still taught here in Indiana, but I learned it in my homeschool elementary years.
As for its relevancy, I'd say it is good to know cursive, seeing as there are instances in which it is appropriate to use (writing letters, addressing Christmas gifts, and a signature are all examples). I think the issue isn't that technology is progressing and we need to forget the cursive. I believe that we are embracing technology to the detriment of relationships. Nowadaysthe average teen would rather Instant Message short messages and emojis than sit down to write a letter, we'd rather send a Facebook message than actually talk, and texting is often prefered over even verbal conversations on a phone. Communication is an amazing thing capable of building relationships and getting to know people really well. It's a shame that we have replaced it with screens.
One time, a friend of mine had a birthday. I wrote a letter to her, with a poem about how great of a friend she is. She told me later that it was one of her favorite birthday experiences EVER. And guess what?
The letter was in cursive.
I submit that cursive is still relevant, not because of how often we use it, but what it means when we use it. In this technology filled world, guess what it means to send a letter written in cursive to someone?
It means you thought about the correspondance at least a day or two in advance. It means you sat down and thought intently about what you were going to say. Then you weote it down. 15 minutes later you crossed out some words that didn't fit and made sure the grammar was perfect. Then you spent another 5 or 10 minutes writing the second draft. Then you paid for a stamp and put the letter in the mailbox.
I don't always get mail. But when I do, I'm super excited. 90% of the time, I'm disappointed because it is junk, or simply a card. In fact, last time I got an actual hand written letter was last summer from my Youth Pastor. Last time I got a hand written letter from a friend? Never. In fact, that is probably one thing that would make my day.
So while cursive may not be required, I do believe it is needed, if not for formality, maybe just for the betterment of social conduct and mentality.