Here is your list of supplies:
1/2 yard fleece
I started with a 12x12 inch square of paper (Why do I always use this same brown paper for projects, you ask? It's the scraps of the paper left over from making the dust covers for the back of my frames. Recycle. Reuse. Repurpose. Yeah.)
Anyway, do your string/pencil thing you learned in school to make a circle. (I would be holding the end of the string down at the point, but someone had to hold the camera.)
Cut out your circle then make a smaller circle about 1 1/2 - 2 inches in from the corner and cut out the center.
See? You get a paper donut for a pattern that you will pin to the fleece. I have my fleece doubled to save cuts.
This way I end up with 4 circles with 2 cuts (No, I don't think you're dumb, I'm just trying to be a good teacher.)
Now cut one side of the donut to open up the circle. I forgot to take a picture.
Put the edges together, following the curve, and sew side-by-side with a zig zag stitch on your machine. This will help your scarf lay flat even though you are piecing it together.
See how it falls when it's sewn? It makes that cool ruffle you sometimes see on blouses. I think this ruffle looks mysterious, but it is so easy to create!
Okay, you will need some ordinary embroidery thread. I like to combine unexpected colors like green and orange, but do your thang.
Sew a quick blanket stitch around the edge. (I would have done the inside and outside edge, but the phone was ringing and I was trying to help Helper Munchkin write an apology letter to his teacher for picking up another student during story time...but I digress)
Ta Da! Now, an observation... this shirt and scarf don't match. (Did I really need to tell you that?)