A method for making a cooked rolled snack food from a starch based dough. The starch based dough is admixed with a small average particle size monoglyceride. The dough is then rolled and cooked in hot oil. The fatty acid chain is disposed within the helical amylose molecules in the starch-based dough and provides structural support within the helix. This support helps control inward expansion of the rolled dough snack during frying.