Introduction to Pascal's Triangle.

1. The Binomial
Theorem,
Fibonacci, and
Vitruvian Dan
Vitruvian Dan by flickr
user nogoodreason

2. A wee little counting
quiz now ...
test by flickr user foreversouls

3. Simplify each of the following.

4. Consider the digits 1, 3, 5, 7, 9. If repetitions are allowed, find:
(a) how many 3 digit numbers can be formed.
(b) How many 3 digit numbers can be formed if they must be
less than 600 and divisable by 5.

5. In how many ways can 7 books be arranged on a shelf if 3 particular
books must be together?

6. Expand and simplify ...
a+b

7. 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

8. Evaluate each term ...

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

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

11. Look again at Pascal's
Triangle. Can you find:
• the quot;hockey stickquot; pattern?
• The Fibonacci Sequence?
Read the DaVinci
Code, it's fun! ;-)