So I am making a math club for the school year 2014-2015. I've taught myself AP calculus AB, BC, differential equations, linear algebra, and some discrete mathematics. I'm a freshman and I don't know how to teach effectively. So I'll be the president of the club, and teach the members those topics. Basically, my school isn't really mathish. I want at least 12 members to join. I want to know what mathematics competitions there are in silicon valley. I also want to know specifically what topics people study for competitive geometry and algebra tests. I want them to learn and have fun. Any ideas?