All manipulative work for Pascal's Triangle and the Binomial Expansion has
already been done. Now review some math vocabulary before it can be viewed from a concrete, manipulative,
perspective. The review includes vocabulary and pictures many
elementary, middle, and high school teachers have not seen.
Use this to review or refresh background or scroll through this page and go
on to the next.
Odd and Even Numbers
Powers
Natural Numbers, Their Sums, Their Product, Factorials
Though 0 is not a natural number, zero factorial, 0! Is defined to be 1.
Square Numbers, Triangle Numbers, and Pyramid Numbers
So what is the purpose of the above analysis? It's to find patterns that lead to
understanding and to eliminate computation required to expand a binomial. Find and verify a pattern,
gain new insight, and decrease or eliminate long, messy computation.
