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Cube Model for (a+b)^3

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3D model description

####Cube Model for (a+b)^3

Visual or physical models are not always necessary in learning algebra. Eventually, they will be too confusing to use. However, some students and adults alike (like me) do enjoy seeing the physical connections of abstract mathematics, such as the case of expanding (a+b)^3. After seeing the physical models, it is less likely they are going to write (a+b)^3 = a^3 +b^3.

In this design, a= 38mm, b =12mm, and the assembled cube is 50^mm. As a scaffold, I combined b^3 with the 3ab^2 into one piece to control the complexity. Of course, we all need to TALK about the pieces to understand what is meaning of each. Have fun!

Reference

Conway, John H., & Guy, Richard K. (1996). The book of numbers. New York, NY: Springer-Verlag.

3D printer file information

  • 3D design format: STL Folder details Close
    • 3_aSquared_b.stl
    • a_Cubed.stl
    • a_Squared_b.stl
    • b_cubed_Plus_3abSquared.stl

    Learn more about the formats

  • Publication date: 2018/09/18 at 09:46

License

CC BY

Tags

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

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