Today in math, we formed in to groups and answered some questions to review exponents that we learned from grade 9.
Math 10
Irrational number other than Pi
When people are asked to think of one irrational number, the most of them would probably say ‘pi’. However I have found out there are more interesting irrational numbers that were unfamiliar to us. Today, I will introduce an irrational number which is ‘e’. It is pronounced as “ee” and is equal to about 2.71828182846 . It was first discovered by Jacob Bernoulli, who found it in a formula for calculating compund interest. ‘E’ can be used in probability theory, number theory and caculus. When playing a lottery with one-in-a-million odds winning, the probability that you would never win can be calculated with ‘e’ ; it’s about 1/e (less than 37%). There is another fascinating example with this number. When Google filed for its first IPO in 2004, the amount they intended to raise was billion times e.
Source : http://qz.com/362732/the-other-irrational-numbers-we-could-celebrate-instead-of-pi/
Math Football
Our goal was to make a football with spaghetti and marshmallows. We first thought that using the whole spaghetti will make the football unstable, so we decided to break the spaghetti in half. After that, we attached the spaghetti with the marshmallows and made hexagons to create a 3D figure. Unfortunately, the figure was not stable and became bigger than we thought. We broke the spaghetti in half again and made hexagons and triangles to create the football. We thought that if we use two different shapes, it will make the figure stronger. While we were making the football again, we realized that the figure was much stable this way. We only had 20 minutes to do this project so we weren’t able to finish it but here is a picture of the football we made.
By doing this project, I realized that football relates to geometry. We saw a video titled ‘Geometry of Footballs and the Cube-shaped Ball’ and I learned that most of the football that we know is made out of 12 pentagons and 20 hexagons.