I wrote up a free pattern for Xander's 4x3 Top-Down, Hat of Power (aka 4x3TDHoP).
It's an easy beginner knit for someone wanting to start knitting in the round. I've indicated spots where you can modify the size, though it's pretty stretchy and should fit most older kids to adult size melons.
If you're looking for the yarn I used, it's Indigodragonfly MCN Sport (the colour pictured is Herb Tarlek Jr.). One skein for the hat.
I knit it in a couple of evenings. I know it's spring, but there are still some hat wearing days left, or you could get a jump on holiday knitting.