I have recently made both rag quilts and no sew fleece blankets, but this baby blanket is sort of a combination of each. It does take a little sewing, but not much, and can easily be done start to finish in an afternoon. (Or over a few days during naptime when the kiddos are sleeping.)
I bought 1 yard each of 3 types of fleece. In this case a stripe, a solid green and a solid blue. It was enough to complete two blankets, plus I had extra of the solids.
Step One: Cut the fabric into 9" squares. I highly recommend using a rotary mat and cutter for this step. With them you can get it done very quickly. Fleece comes in 60" width. So taking your 36" x 60" fleece, you will cut the 36" side equally into 4 parts, to make 9" strips. Then cut this every 9" into squares. This should get you 24 squares, plus some extra at the end.
Step Two: Design the blanket layout. As you can see in the picture I used the striped fleece in every other block, and then alternated the green and blue.
A=Stripes
B=Blue
C=Green
ABACA With this pattern you will need 13 of A, 6 of B, and 6 of C.
CABAC
ACABA
BACAB
ABACA
A second pattern to use, which will work with the remaining squares would be:
ABCAB With this pattern you will need 9 of A, 8 of B, and 8 of C.
CABCA
BCABC
ABCAB
CABCA
But, of course, you can make whatever pattern you like.
Step Three: Stitch together the squares. Use a 1/2" seam allowance. I have mine all laid out in the floor, and then sew them in an assembly line, one right after the next, without stopping to cut the thread between each one. When you are done all the seams will be sticking up, so it is very important to make sure you sew them the right direction. I usually pinch each set of fabric up, as they will be sewn, to remind me which side to sew together. (I wish I had more pictures of this, but will have to add them when I do this blanket again.)
Begin by completing each row. (At this point I don't pin, since it is just one 9" square to the next, and fleece doesn't shift much.) Next, sew each row to the next. Now I pin. Again, be sure that you have all your completed seams sticking up in the same direction.
When all the rows are done I sew around the outside edge, again with a 1/2" allowance. This isn't really needed, since fleece won't fray, but I think it gives it a nice finished look, and a good guide for making the fringe.
Step Four: Cut! Cut! Cut! Make sure you have a good pair of sharp scissors. I also highly recommend
Fiskars rag quilt snips. The blades are shorter than scissors, and they are spring loaded, so they bounce back each snip. It will save you both time and arm pain! You will be snipping fringe on every seam. I do them about every 1/4", or as close together as I can while still being consistent. It gets tricky as you come to where the squares overlap, since you will be cutting several layers at once. Just do a few layers at a time if you need to, and be careful not to cut off fringe as you go down the opposite direction. I usually do this with a few breaks in between. It seems the easiest part of the job, but is really tiring on your forearm.
All done! Final size should be a 40" square.