This is a Unit circle and we have been studying this a lot in math. |
The Handshake Problem and Math
The Handshake Problem like most everything relates to math. You can write an equation for almost everything and analyze it with mathematic terms. With the Handshake Problem made an equation to represent the number of handshakes possible with different numbers of people. We did some calculator work and found some numbers to represent in our equation. From the calculator we figured out that it is a quadratic formula. We were then able to plug in the A, B, and C values along with the X, Y points and get our final equation.
The Handshake Problem relates closely to Pascal’s Triangle. Pascal’s Triangle is triangle that has numbers that are gotten by the previous two. It represents triangular numbers tetrahedral numbers. If you look at it you will see the same numbers in one of the rows that we have for the hand shake problem The Handshake Problem looks at the number of different possibilities of handshakes, you can also use it for different set ups that would include several possibilities. For example if there are two people they can only shake hands once, if there are three people then there are three possibilities to shake hand, it continues by a pattern. With five people it can be written as 5! (1+2+3+4+5) which is 15. There are several patterns that can be followed and analyzed in the Pascal’s triangle. It is really quite unique to the math world.
Year concept reflection
I am very proud of the work that I did with the Unit Circle. I really understood the concepts and was able to elaborate about them. I also did a very well on the test with Unit Circles. A concept that I really struggled with was the Polynomial & Rational Functions. I tried hard and continued through the work, it slowly but surly started to sink in. I did great on the test and am proud of how hard I tried.