Proof of Pythagorean Relationship

[Marzotko]

Does anyone have a proof of Pythagorean Relationship that would be suitable for grade 8's (12-14 years old)? I have tried several but I would be curious to see what others are doing in their classes.

 

[stapel]

Does anyone have a proof of Pythagorean Relationship that would be suitable for grade 8's (12-14 years old)? I have tried several but I would be curious to see what others are doing in their classes.

Which proofs have you already reviewed? Please be complete and specific, so we don't waste your time with duplicates.

Thank you!

 

[Ishuda]

Does anyone have a proof of Pythagorean Relationship that would be suitable for grade 8's (12-14 years old)? I have tried several but I would be curious to see what others are doing in their classes.

114 proofs starting with
http://www.cut-the-knot.org/pythagoras/#1
many of which would be appropriate

 

[pka]

Does anyone have a proof of Pythagorean Relationship that would be suitable for grade 8's (12-14 years old)? I have tried several but I would be curious to see what others are doing in their classes.

There is an absolutely wonderful visual proof found on pages 158-160 of J.Bronowsky's The Ascent of Man.


On YouTube you can see essentially the same proof done by Keith Devlin the math guy, I think that who it is.

Here is a YouTube that explains how to do the same as a class activity.

Here is another.