During the summer, my IB/Precalculus students need to keep their skills sharp, so I wrote a series of worksheets for this purpose. This particular worksheet focuses on geometric problem-solving: it requires students to break a shape down into its component parts, and to determine the areas of those parts using geometry and trigonometry.
The central question is this: How do you make parallel cuts to a circular cuts that divide the area into equal parts? Because students don't yet have the calculus skills to integrate and end up with an inverse trigonometric function, they must rely on their knowledge of geometry.
For this worksheet, I expect students to show their work on a separate sheet of paper.
Please download the pdf preview file first, so you can see exactly what's included; the product file is a word document, which you may personalize for your students.
Keywords: geometric problem solving, Jonnard