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Triangular and Tetrahedral Numers

3D model description

Models for triangular numbers {1, 3, 6, 10, 15, ..., n(n+1)/2}. They can also be used to model tetrahedral numbers {1, 4, 10, 20, 35, 56, ..., n (n+1)(n+2)/6}. The spheres are intentionally welded with each other for easy use with students. The activities can be used at many K-12 levels, depending on the instructional goals. The formulas can be established using mathematical induction; they are as interesting as the visual structures. To print, please use raft for better adhesion to the bed.

3D printing settings

Printer:

Flashforge finder

Rafts:

Yes

Supports:

No

Resolution:

.2mm

Infill:

10-20%

Notes:
Raft is expected for bed adhesion.

Post-Printing
Removing raft

Carefully remove raft.

How I Designed This
I used 123D Design, which is adequate for this project. Just align the spheres and allow a bit of overlapping (about. 0.2mm).

Overview and Background
Number sense

The models allow for the exploration of number patterns at multiple levels. For young children, they could learn about the connections between visual configurations and numbers. For advanced students, they could focus on the algebraic exploration and seek a function for the progression of triangular and tetrahedral numbers. Of course, art should be sought at all levels of math instruction.

  • 3D model format: STL

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

License

CC BY


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