I gave a math test on Friday that was taken from the students' text books. These chapter tests often have one or more questions that require a written explanation in addition to, or in place of, a numerical answer. Since the Gen Ed kids I used to teach were always hardly able to express themselves through writing, and since I now teach English Language Learners who REALLY have trouble expressing themselves in written English, I usually make these questions Extra Credit questions.
One such question on Friday's test read as follows," A cake has been cut into 40 pieces. Is it reasonable to say that this is enough cake for 32 people? Explain."
If the kids said anything to the extent that yes, it is reasonable because there are more pieces of cake than there are people, I gave them 1 point extra credit. If they expressed things even more clearly, I gave them 2 points.
One boy wrote this, "No, it doesn't make sense because sometimes people want to eat 2 pieces of cake or three."
I gave him 2 extra credit points. It wasn't really the answer I was looking for, but he explained his thinking quite clearly, and being a man with a large appetite myself, I can't disagree with him...