Beside the arc functions, the Pythagorean theorem is one of the most important mathematical base, that appears even in trivial calculations of common life again and again..
I found the featured thing 'Pythagorean Theorem' with the chain system
http://www.thingiverse.com/thing:245202
which is really nice! But I didn't find the cubes version in a pretty size and also a case, that keeps all parts together. And some students might catch on Pythagoras in this way faster.. So I constructed this for MakerEdChallenge.
Notes:
Don't use too much material flow, or puzzle parts won't fit. try with center and 6x6 plate first..
Validate right table distance for 1st row print. If too low, cubes will have a bulge and have to be slided plain after print.
Fitting
If puzzle parts don't fit, take a sharp knife and scrape grooves plain on the connecting surfaces.
Custom SectionObjectives
Students want to learn theorems as easy as possible, preferably visual and in a practical context.
Audiences
Secondary school mathematics
Preparation
Students should know about solving terms, some trigonomics, and what a square root is about..
Steps
Detach center plate from cover to unlock box.
Hold upside horizontal to drag cover off carefully.
The cubes are retained in case by dividing plates until they are unpacked.
Take puzzle elements from mount and plunge them on the center part.
Let students move all cubes either from hypotenuse to cathetus, or vice versa to realize the same size of hypotenuse and sum of cathetus surfaces.
Note, that all cubes got an chamfer at one side that has to be put on the plate.
Do the calculation: 10x10 = 100 = 6x6 + 8x8 = 36 + 64
After changing all cubes positions once, students or teacher don't want to all return them back, so the cover and mount is designed to keep all cubes in place, on whatever plate they are just placed.
Hang back plates into mount (biggest below to smallest top) and put all together carefully back to cover hull. Notice that all cubes are right put in their fields, or divider collides and cover won't close. Center is also used as a lock and also to declare the content of the box in packed state..
Results
Students will understand Pythagorean theorem on a visual way.
Category: MathThe author marked this model as their own original creation. Imported from Thingiverse.