Pythagorean Theorem Converse Activity

10 July 2016

My students always tend to get mixed up when using the Pythagorean Theorem Converse.  They tend to get the direction of the inequality mixed up and I hear things like "greater than means acute...or does it mean obtuse?".   My solution to this is to have students ALWAYS write the bigger number first in the inequality and put a box where the inequality goes.  So they would write something like this...
52 o 32 + 42

Then, they do the comparison to see which is larger.  Basically, they are being consistent with the way they are showing their work.  I try to get them to say to themselves, "The longest side is longer/shorter than the other two, so that means it's acute/obtuse."  I think consistency helps them in this case.

Here is a practice activity for interactive notebooks using the Pythagorean Theorem Converse.

Pythagorean Theorem Converse Interactive Notebook Activity   |

I like this because they are doing a zillion practice problems, but the students don't really notice.  I glued everything in on this page, but I could have made little pockets and put the cards in the pockets so students can practice.  You can find this activity here.


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