Some thoughts on boredom from a veteran K-12 homeschooler:

It’s okay if your children are bored. You are not responsible for entertaining them during this difficult time when you may be working from home, plunging into homeschooling, and frantically making arrangements for your family.
Play is actually a key component of learning to be a good writer and reader: if you don’t know how to do imaginative play, pretending to be someone else, it’s going to be a lot harder to fall into the world of a novel and really appreciate literature.
The two most important parts of my “educational program” were allowing plenty of time for the kids to play with as little adult supervision as safely possible and allowing plenty of time for free reading with no attached schoolwork. Children need time to be alone, as unsupervised as possible, working out their world. They need time to be bored and to figure out how to fill that time, without relying on adults, video games, or television to fill it for them. Imaginative games (even television-inspired ones) are important for children’s developments, for empathy, and I suspect they are helpful in developing readers and writers, for what are readers and writers, but creators of another world in the medium of sedentary words, instead of the three-dimensional world of kindergarten play?
Do modern children have enough play time to create this world of the mind? I don’t have researched-based answers to this, but I do have a feeling that too many parent-directed (or coach-directed) activities, too many “quiet the children down with a screen” parenting decisions get in the way of this part of intellectual development.
Boredom is a precious childhood resource, not a scourge. It is from boredom that writers develop, readers emerge, artists draw, musicians play, creativity blooms.

Kate Laird is the author of Homeschool Teacher: A Practical Guide to Inspiring Academic Excellence