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Area Model for 3^2 + 4^2 = 5^2, Pythagorean Theorem

dbee0ed917b6d246c1d24280bbc17880_preview_featured.jpg Area Model for 3^2 + 4^2 = 5^2, Pythagorean Theorem
77621d171ae8d68dccb3981ac03649fc_preview_featured-1.jpg Area Model for 3^2 + 4^2 = 5^2, Pythagorean Theorem
345_five.stl Area Model for 3^2 + 4^2 = 5^2, Pythagorean Theorem
345_Four.stl Area Model for 3^2 + 4^2 = 5^2, Pythagorean Theorem
345_squared-ALL.stl Area Model for 3^2 + 4^2 = 5^2, Pythagorean Theorem
345_three.stl Area Model for 3^2 + 4^2 = 5^2, Pythagorean Theorem
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  • 345_Four.stl
  • 345_five.stl
  • 345_squared-ALL.stl
  • 345_three.stl

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Publication date 2018-07-27 at 14:00
Design number 29383
LGBU

LGBU

3D printer file info

3D model description

Area Model for 3^2 + 4^2 = 5^2: A Beautiful Relationship to Play with!
This is an area model showing that 3^2 and 4^2 make 5^2. It is, of course, a special case of the Pythagorean Theorem. However, this relationship can be explored without reference to the Pythagorean Theorem. It is just a neat way to play with some simple numbers and their connections. The unit square is 10 mm x 10 mm. The 5-square is the collector for the 3-square and the four (4 x 1 ) pieces of a 4-square.

Pedagogically, it gives children some visual and tangible perspectives on integers and their squares, and, more importantly, how to take apart and reassemble things when doing math, which is a big idea in algebra, I think.

Reference
Boardman, Michael. (2000). Proof without words: Pythagorean runs. MAA Mathematics Magazine, vol. 73, No. 1, p. 59.

3D printing settings

Rafts:

No

Supports:

No

Resolution:

.1 to .2mm

Infill:

5-20%

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