okay, here goes. Three things to keep in mind-
1. I'm a lefty, so the picture is probably going to be backwards from what yours will look like.
2. I'm lazy, so I used a J hook. This would probably look a little nicer with a smaller hook.
3. The sample in the photo uses eight repeats of the pattern. The written pattern uses nine. Eight isn't enough for it to lay flat, it curves up a bit, so nine would be better, but again, I'm lazy, and didn't feel like ripping it out to start again with nine.
join with sl st to first ch to form ring
round 1- ch 5 (counts as DC + ch2). *DC, ch2 in ring. Repeat from * 8 times total. Join with sl st to 3 ch in beg ch 5 (9 DC and 9 ch2 sp total)
round 2- ch 3 (counts as first DC). DC in next sp, ch 2. *DC in next DC and in next sp, ch 2. repeat from * to end of round. join with sl st in top of beg ch.
round 3- ch 3. DC in next DC and next sp, ch 2. *DC in next two DC and in next sp, ch 2. Repeat from * to end of round. join with sl st in top of beg ch.
round 4- ch 3. DC in next 2 DC and next sp, ch 2. *DC in next three DC and in next sp, ch 2. Repeat from * to end of round. join with sl st in top of beg ch.
at this point, you should be able to figure out how to do each round as the circle gets larger. Make it as big as you want, add a fun border, its up to you at this point.
Hopefully this helps. I'm not great at writing patterns, so if you need some clarification on something, let me know.