flake
n.— «A flake of hay is about 20 lbs so each cow would get about a 1â„4 of a flake.» —“Feeding” by School of Veterinary Medicine in University of Wisconsin-Madison SVM Dairy Teaching Herd—Employee Training Sept. 18, 2003. (source: Double-Tongued Dictionary)
When hay gets baled, it gets compacted by a little arm. When you cut the baling wire around that bale, it separates into ‘flakes’, where a flake is the amount of hay in one compaction.
You then might feed a horse a couple flakes of hay.