You must have heard of Blaise Pascal, a famous French Mathematician and Philosopher.
One of the most interesting Number Patterns is Pascal’s Triangle – although Pascal did not actually invent it.
The triangle starts with 1, then moves to the row below where it adds the numbers to the left of the number above. If there is no number to the left, then take that number as zero and add it up.
The video above explains how to build Pascal’s Triangle.
The major areas where Pascal’s Triangle is used are Algebra, Probability and Combinatorics. However, Mathematicians are discovering new things and uses every day.
You can also find the Fibonacci Series using Pascal’s Triangle.
Fibonacci whose real name is Leonardo Pisano Bigollo, was an Italian mathematician. He wrote “Liber Abaci” or “The Book of the Abacus” in 1202.
This book introduced the Hindu-Arabic numerals and the decimal system to the Western world, but it also contained the famous Fibonacci number sequence.
Incidentally, this number sequence was in fact, known to Indian mathematicians as early as the 6th century, but it was Fibonacci who introduced this to the West.
Watch the video and see how you can find the following:
Powers of 2
Hockey Stick Pattern
And much more
Martin Gardner, a famous American Mathematician describes Pascal’s triangle as “so simple that a 10-year old can write it down, yet it contains such inexhaustible riches and links with so many seemingly unrelated aspects of mathematics, that it is surely one of the most elegant of number arrays.”
Both in the classroom and at home, students are encouraged to experiment with different aspects of Pascal’s triangle.
Younger students can try find simple patterns, while older students can find the connections within the patterns and try solving problems using the triangle.
Most importantly, though, Pascal’s Triangle opens up the world of interconnected of math topics in a natural, fun manner.