These are knit out of Noro Big Kureyon in colorway 19 on US10 needles.
The scarf is a simple short row multi-directional one. There are various patterns available on the internet. For the hat I wanted something that matched the scarf, so I knit a small short row multi-directional strip for a hat brim. I seamed the short ends of the brim piece and then picked up stitches along one edge (I ended up picking up 80) for the hat body.