These individual puzzles (at present thirty puzzles), and the Calculus Mathacrostic Puzzle book they will make up are intended: to be a “last second” no-calculator Advanced Placement preparation review of a, perhaps, forgotten topic in first quarter Calculus; to be a more pleasant additional assignment (with mostly nice and semi-nice answers) on topics that the teacher feels a class needs more work on; to be given to an individual student who the teacher has noticed needs more work in a certain area (which is why complete solutions of all problems are provided with each puzzle); to be used by the teacher as a source for their own test/quiz questions (which is why complete solutions of all problems are provided with each puzzle); to be used as a day-before-vacation-classroom-or-take-home-assignment (which is why complete solutions of all problems are provided with each puzzle); to be used as an assignment given when “bad weather and book bag” assignments are anticipated (which is why complete solutions of all problems are provided with each puzzle).
I will definitely admit that you, the teacher, and probably many of your better students, will be able to solve several of the puzzle parts by just matching answer choices with puzzle questions and not having to work the entire problem. But most calculus students are pretty concerned about actually understanding the concepts involved and will actually do the 15 to 20 problems involved in each puzzle – particularly if you insist that their work be shown.
I’ve tried to run the gamut of problem difficulty – from easy to somewhat messy. I’ve also tried to pick topics that are “true Calculus” concepts as opposed to pre-Calculus topics. “No-calculator” problems on the AP Calculus tests generally work out nicely – but having to deal with some messy arithmetic for a little practice will certainly do no harm. In this age of calculator and phone dependency it is, for the most part, direly needed.