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A Chance at Monte Carlo
| Content Provider | TeachEngineering: STEM curriculum for K-12 |
|---|---|
| Author | Trumpis, Michael Samson, Carleigh Yowell, Janet |
| Copyright Year | 2013 |
| Description | Students use the EV3 processor to simulate an experiment involving thousands of uniformly random points placed within a unit square. Using the underlying geometry of the experimental model, as well as the geometric definition of the constant π (pi), students form an empirical ratio of areas to estimate a numerical value of π. Although typically used for numerical integration of irregular shapes, in this activity, students use a Monte Carlo simulation to estimate a common but rather complex analytical form—the numerical value of the most famous irrational number, π. At its core, the LEGO® MINDSTORMS® product provides a programmable microprocessor. Students use the EV3 processor to simulate an experiment involving thousands of uniformly random points placed within a unit square. Using the underlying geometry of the experimental model, as well as the geometric definition of the constant π (pi), students form an empirical ratio of areas to estimate a numerical value of π. Although typically used for numerical integration of irregular shapes, in this activity, students use a Monte Carlo simulation to estimate a common but rather complex analytical form—the numerical value of the most famous irrational number, π. |
| Language | English |
| Access Restriction | Open |
| Rights Holder | Regents of The University of Colorado Polytechnic Institute of New York University |
| Subject Keyword | Data Analysis and Probability Geometry Number and Operations Reasoning and Proof Calculation Robot Monte Carlo Percent Error Simulation Programming |
| Content Type | Text |
| Time Required | PT1H |
| Education Level | Class IX Class X Class XI |
| Pedagogy | Experimental Activity |
| Resource Type | Hands-on |
| Subject | Number Sense and Numeration Geometry Probability |
