Shortest Paths via Pythagoras (VIDEO!)

In the highschool curriculum it is usually assumed that the shortest path between two points is a straight line. Is there any justification for this belief?
Here’s a wonderful way to think about matters as fun applications of Pythagoras’s theorem. It is fun to have this discussion with students.

Shortest Paths


    QUADRATICS, Permutations and Combinations, EXPLODING DOTS, and more!

    Written for educators - and their students too! - this website, slowly growing, takes all the content Tanton has developed in his books, videos, and workshops, and organizes it into short, self-contained, and complete, curriculum units proving that mathematics, at all points of the school curriculum, can be joyous, fresh, innovative, rich, deep-thinking, and devoid of any rote doing! Let's teach generations of students to be self-reliant thinkers, willing to flail and to use their common sense to "nut their way" through challenges, to assess and judge results, and to adjust actions to find success. (Great life skills!)


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