Introduction to The Binomial Theorem.

1. The Binomial Theorem
or one of the ways G-d built the universe ...
Zhu Shijiei 1261
Pascal 1653

2. Expand and simplify ...
a+b

3. Find a pattern, add two more rows to the triangle ...
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1

4. Evaluate each term ...

5. Pascal's Triangle
How many different patterns can you find in the triangle?

6. Pascal's Triangle
How many different patterns can you find in the triangle?
http://mathworld.wolfram.com/TetrahedralNumber.html