Circle Area Formula (TPU Flexible Filament), Angle Maker, PI
Description
#### Making Sense of the Circle Area Formula (TPU Flexible Filament) **Update** At the suggestion of some users, I added a 12-piece dissection of the circle, where each wedge is 30 degrees. It is now possible to make 30, 60, 90-degree angles. Circles are the most universal shapes in nature, design, and, of course, school mathematics across P-12 and beyond! Frequently, we have students who would say π (PI) is 3.14 and the area of a circle is πR^2, struggling to explain why? In this unit, we will learn about the true meaning of π (PI) and make sense of the meaning behind the circle area formula in a playful and artistic way. The circle included has a diameter of 100 mm and is 4mm thick. **Flexible filament** is preferred for classroom use. **There is a small cut that allows the circle to unfold**. When PLA filament is used, the wedges will break apart. They can still be used but are not as pretty. #### How to Use 1. If you print two copies, you could make a long parallelogram. 2. If you print only one copy, please cut it into two semicircle and make a shorter parallelogram. 3. The reasoning is the same. Just adjust the base part. 4. Please read on for possible activities and questions. 5. Of course. a little "thought experiment" is necessary to flatten the base of the parallelogram ^_^. 6. If so desired, the wedges can be used to make/model angles.
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