Grade Level: 11 - 12, College
Materials: One set of worksheets for each student
Objective: The student will be able to solve problems involving applications of the integral, including area between two curves, average value of a function, volumes with cross-sections, and volumes of solids of revolution.
This could be done in two assignments:
Questions 1 - 9 deal with Area and Average Value of a Function while
Questions 10 - 17 deal with Volumes and Uniform Motion.
Back in 1953, Roger Price invented a minor art form called the Droodle, which he described as "a borkley-looking sort of drawing that doesn't make any sense until you know the correct title." In 1985, Games Magazine took the Droodle one step further and created the Turvy. Turvies have one explanation right-side-up and an entirely different one turned topsy-turvy. The Turvy above was created by Dan White of Helena, Montana and published in Games Magazine in May 1986.
To determine the titles to this turvy, solve the 17 Application of the Integral problems in this puzzle.
Then replace each numbered blank in the puzzle with the letter corresponding to the answer for that problem.
Many thanks to Jamie Lyons-Eddy of The Roeper School in Birmingham, Michigan for sending in the correction to Problem #6!
Click here or on the Printer Version tab above to load the puzzle.