Pascal’s Triangle

1. Pascal’s Triangle

2. Questions Why and when did Pascal make the triangle? What are some patterns in Pascal’s triangle(what is so important about what’s in Pascal’s triangle?) What does Pascal’s triangle help us with in Mathematics today?

3. Why and When did Pascal Make the triangle Pascal didn’t really “make” the triangle. Before he found out some discoveries inside it, and before it got changed to Pascal’s triangle, it was called Arithmetical Triangle. Mathematicians ChiaHsien and Omar Khayam were working on it a long time ago. Pascal “made” this triangle in 1654.

4. What are some patterns in Pascal’s triangle? How do they help us in math? Patterns are vital in mathematics. There are really important in Pascal triangle. S0me Patterns are……………. Powers of 11, Binomial Coefficients, Triangular numbers, Symmetrical, Powers of 2(sum) ,Fibbonacci,Chossing the number of ways to do something, and the sum of the two upper numbers. This is the triangular numbers pattern. Binomial Coefficints Under here

5. What are some patterns in Pascal’s triangle?(continued) Fibbonacci Numbers ----------- Sum of Rows Patterns Ways to choose something: ------Symmetrical

6. What does Pascal’s triangle help us with in math today? Pascal’s triangle helps us with patterns, determining probability, and a lot of other things. They help us find shortcuts, and do problems that ask for things about Pascal’s triangle.

7. Conclusion Pascal’s triangle is very useful in many parts of mathematics. I hope everyone learned something today. I liked learning things about Pascal’s triangle. I think that I learned a lot from the Passion Project. I hope you did too. Well………………

8. Thanks for Watching!!!!!!!!!!!!!!!