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1-002-Tossing-ModelingScenario

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Keywords: Modeling and simulation exponential decay dice

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Abstract

Resource Image We offer students simulation experience or data from a simulation and ask them to model the simulation using several approaches, to include exponential decay fit, difference equation, and differential equation.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

The mathematics lesson uses forty 10-sided dice. Working in groups, students first roll the dice. They remove all dice that land showing a 1 on top and record the number. They then repeat the process, continuing to record the number of dice remaining after each roll until no dice remain.

Sets of 10-sided dice may be purchased in gaming and education offerings either in stores or on-line. However, if there is no convenient way to conduct this simulation then we offer a result from such an experimental run. We also offer a plot of this data.

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Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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