Please do not throw away any scraps, make a pillowcase, any size, small to large, from your What was I thinking fabric, or denim pieces, or especially good-the old knit polyester fabric. Fill it with all the scraps you will never use, including batting scraps, sew the end shut & donate it to your local animal shelter for a pet bed.
I keep a dollar store laundry hamper by my cutting table, all unusable scraps go into it. To make it even easier line the hamper with the pillowcase so when it is full just lift it out & sew the end shut. Our local shelters love those beds, when they get too dirty they can then throw them away but in the meantime they have given a homeless animal comfort. I recently found out our shelter has other volunteers who make washable covers for the beds so they can use them longer.