# The Binomial Theorem (VIDEO!)

Why is expanding a binomial of the form (x + y)^n connected with the n-th row of Pascal’s triangle? (For example, the coefficients that appear when expanding (x + y)^4 are 1, 4, 6, 4,1 and these represent the fourth row of the triangle.)

In this video we explain the connection and show how to have fun and prove mysterious properties of the triangle that you can invent for yourself!

WARNING: This video does rely on having seen the “A Formula for Pascal’s Triangle” video just so you know what the entries of Pascal’s triangle actually count.

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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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