In most states today, it is not required to teach public school students Cursive Writing. However, some of these states that eliminated cursive writing have since returned it to their schools curriculum as a option or requirement.
Since when was cursive writing not important? Well that is left for you the parent to decide. Here is a freebie you want to check out on penmanship.
Download: What About Penmanship? A guide for homeschool parents.