Math research Project
My Ideas:
My first idea was to explain the algorithm of a Rubik's cube what i think could get interisting because there are many students who want to know how to solve a Rubik's and how it works.
For example how many possible positions are in a cube:
(8!12!3^82^(12))/(2·3·2)=43252003274489856000
My next Idea's were to explain the theory of relativity (that is about gravity, time, Equivalence of mass and energy(E = m*c^2), light as limit, fusion between time and room and relativity of moving) and the string theory that is about the explaining of the physical foundation by using models(connecting the gravitation theory's with the Quanttheory in Super strings):
\ell_P =\sqrt{\frac{\hbar G}{c^3}} \cong 1.616 24 (12) \times 10^{-35} \, \mathrm{m}
But i think it will be to hard to explain for me so I think I will explain all kind of graphs and how to read the function out of them.
It sounds easy but I think it is for the Juniors important to know and really interisting.
To these theme: Different kinds of Graphs and their functions, high and low points, parallel points etc.
But my favorite themes are at the moment are Parabola, Hyperbola and Ellipse as Graph .
I'm not sure now but I will decide at Friday this week what will be my topic.
