We introduce Monte Carlo simulations for estimating areas by playing a game of "darts". We also introduce simulations of random walks. We use compact, vectorized programming, based on the R language, for all computer simulations and visualizations, aimed at high school students. This presentation is based on the Invited, prime time lecture given at the summer camp for gifted high school students at City College of New York, July 13, 2011.
Gifted Education Commons, Higher Education and Teaching Commons, Other Applied Mathematics Commons, Other Teacher Education and Professional Development Commons, Probability Commons, Science and Mathematics Education Commons, Secondary Education and Teaching Commons