ORMC Meetings • 2024-2025 Academic Year

Students learn about iterated functions and one of the hardest unsolved math problems. This worksheet is also an introduction to what kinds of problems professional mathematicians like to think about.

A comprehensive introduction to Python programming using the online compiler "Trinket.io." Further exploration of the drawing board module "Turtle" and the quantitative module "Math".

Students learned about recursive functions in Python and how to apply them to draw fractals.

This week, we reviewed recursive functions and fractals. We looked at several new examples of recursive functions from mathematics. We also took another look at one of the more challenging problems from last week involving the Koch snowflake.

Students learned about properties of exponentiation (powers) and were introduced to logarithms. We also covered applications to carbon dating and to finance.

Students learned more about properties of logarithms. Specifically, students were introduced to the change of base formula.

Today students were introduced to probability theory and how to simulate certain probabilistic problems. This packet also introduces students to the Monte Carlo method of approximating random experiments.

Today students learned about the expected value, also known as the probabilistic mean. Students computed expected values in many examples. Students were also shown an application of the Monte Carlo method to measuring areas.

Students will play a board game similar to Monopoly, but requiring some probabilistic computations to play efficiently.