A Leap-Frog Puzzle using Vectors (VIDEO!)

Choose any three points A, B and C in the plane. Starting anywhere you like on the page, “leapfrog” over the point A to land on the other side of A the same distance from it as you started. Now leapfrog over B, and then C, and then A again, and then B again and finally C again. Something astounding happens!

This video briefly explains the mathematics of what you encounter using Tanton’s non-traditional approach to vectors. (It might be worth watching the “What is a vector” video too.) Plus, I pose a couple more puzzlers to ponder upon.

Have fun!



    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!)

    CHECK OUT: www.gdaymath.com

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