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1-125-DiceyPopulation-ModelingScenario

Author(s): Brian Winkel

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

Keywords: simulation immigration death dice

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Abstract

Resource Image We offer students an opportunity to generate data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a model they built. The key is to recover the parameters.

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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

We are going to simulate death and immigration using dice. We will use 12 sided (dodecahedron) and 20 sided (icosahedron) dice, found in gaming stores and in educational supply stores.

Your team will select a rule for death and note the parameters of your simulation, run the simulation, and build a mathematical model, estimate your parameters and compare to your original rule and immigration rate, and then compare your model to your data in Activity 1.

In Activity 2 you will pass along your data ONLY for another team to build a model, determine your rule, estimate the parameters of your population, and compare their model to your data.

 

Article Files

  • jpg 1-125-LotsDice.jpg(JPG | 2 MB)
  • pdf 1-125-S-DiceyPopulations-StudentVersion.pdf(PDF | 6 MB)
  • tex 1-125-S-DiceyPopulations-StudentVersion.tex (Instructors only)(TEX | 18 KB)
  • pdf 1-125-T-DiceyPopulations-TeacherVersion.pdf (Instructors only)(PDF | 6 MB)
  • tex 1-125-T-DiceyPopulations-TeacherVersion.tex (Instructors only)(TEX | 18 KB)
  • xlsx 1-125-T-Excel-DiceyPopulationSimulation-TeacherVersion.xlsx (Instructors only)(XLSX | 37 KB)
  • nb 1-125-T-Mma-DiceyPopulationSimulation-TeacherVersion.nb (Instructors only)(NB | 5 MB)
  • pdf 1-125-T-Mma-DiceyPopulationSimulation-TeacherVersion.pdf (Instructors only)(PDF | 2 MB)
  • jpg 1-125-TwoDice.jpg(JPG | 3 MB)
  • cls SIMIODE.cls(CLS | 7 KB)
  • jpg SimiodeLogo.jpg(JPG | 271 KB)
  • License terms

Authors

Author(s): Brian Winkel

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

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