It is very hard for me to throw away fabric scraps, to the point that there are way too many of them stashed in this house. It is also true that dogs love fleece blankets on their beds during cold weather, even in the house.
So every couple of years I dig out assorted bags of fleece scraps, with my rotary cutter cut reasonably sized strips and rectangles, and then join them by butting the raw edges together and stitching with a three-step zigzag. Of course this results in some improbable combinations of colors and patterns, but so far no one has complained. :)
I just finished four approximately 34" x 40" double blankets (eight patchwork pieces zigzagged two back-to-back about a half inch from the edge) that probably will go to DGDs (dear granddogs), since the ones I made a couple of years ago for our three are still in good shape.