The Sharpening Problem

Our class had a sharpening problem
The problem is that kids are dropping the sharpener. Also, we are sharpening too often.
It is a problem because lots of people are dropping their shavings on the floor from the teacher's pont of view. From the students' point of view it is a problem because people are dropping their sharpeners and it's very distracting and stps us from doing our work.
The solution that the teacher came up with is giving us a slip of paper that she calls a sharpening pass. What happens is when you need to sharpen your pencil, you have to go up to the teacher and let her sign your pass. We only get to sharpen once a day.
I do not like the solution that the tacher came up with. I don't like it because what if you were in the middle of a big test and your pencil broke and you had already used your sharpener pass and you had run out of pencils. Then what would you do?
I can only think of one solution and that probably would be my best. What I would do is let us sharpen twice, once in the morning and once in the afternoon. That is the best solution I can come up with.