TKSST is taking a short summer break. Become a member to support our August return
The Kid Should See This

The mathematical secrets of Pascal’s triangle

It’s known as Pascal’s triangle in the Western world, but centuries before that, it was the Staircase of Mount Meru in India, the Khayyam Triangle in Iran, and Yang Hui’s Triangle in China. It can look complicated at first, but when you start to spend time with some of the incredible patterns hidden within this infinite mathematical work of art — diagonals, odds and evens, horizontal sums, exponents of 11, squares, the Fibonacci Sequence, and so much more — you may never look at a triangle in the same way again.

Note: Before you watch the mathematical secrets of Pascal’s triangle, above, you may want to try this simplified worksheet (updated pdf) for a hands-on understanding of how some of the numbers, patterns, and secrets of Pascal’s triangle works. Update: Additional worksheets here.

Another quick visual: Check out Jenny Eather’s Pascal’s triangle images below, one of many entries in her Maths Dictionary for Kids.


Related reading: The Sierpinski Triangle.

In the archives, watch more math, more shapes, and these site favorites: Mathematica – A World of Numbers… and Beyond, Vi Hart’s Hexaflexagon, Why do honeybees love hexagons?

This Webby award-winning video collection exists to help teachers, librarians, and families spark kid wonder and curiosity. TKSST features smarter, more meaningful content than what's usually served up by YouTube's algorithms, and amplifies the creators who make that content.

Curated, kid-friendly, independently-published. Support this mission by becoming a sustaining member today.

The makers of the SAVE plug-in are no longer supporting it. For site speed and security, I've chosen to discontinue its use. If you have saved videos, please back them up with browser bookmarks, Pinterest, or another page saving tool, before they disappear in May 2021. Thank you.
This video was posted 5 years ago.

Watch more videos about...