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Circle Area Formula (TPU Flexible Filament), PI

3D model description

Making Sense of the Circle Area Formula (TPU Flexible Filament)

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 ^_^.
• 3D model format: STL

Creator

STEAM educator, learning from and working with K-12 STEAM teachers to explore new ideas of teaching and engagement. I firmly believe ART is at the core of STEM learning or all human learning! I owe my ideas and designs to the hundreds of K-12 children and teachers and university professors I have had the pleasure of working with, in multiple disciplines-- math, science,engineering language arts, social studies, early childhood education and more! All mistakes, of course, are mine! There is no warranty or liability whatsoever implied or explicit behind the designs or ideas. They are all posted for their potential educational values.

When working with children, please strictly observe all safety and health procedures! Please refer to the NSTA safety guides: http://www.nsta.org/safety/.

LGBU Contact: LGBU@SIU.EDU