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## Resources

Modeling Scenario

## 1-001-MM-DeathAndImmigration-ModelingScenario

Author(s): Brian Winkel

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

Keywords: simulation immigration death dats

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## Abstract

We describe a classroom activity in which students use M&M candies to simulate death and immigration. Students build a mathematical model, usually a linear first order, difference or differential equation, collect data, estimate parameters, and compare t

## Citation

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## Description

Each of us will conduct this simulation in which M&M's either live or die. After opening the bag of candy put 50 of the 55 or so pieces (usually something like 20 pieces is sufficient)  into a small container; a paper cup will do. Before starting the experiment describe what you think will happen and offer up some assumptions in support of your description and some which might not have that much to do with what you expect to happen. Many times assumptions are run into each other, so break the assumptions down to their simplest form, i.e. do not use words like ``and."

The Experiment:

Gently shake the M&Ms out onto the desk (you might want to use a paper plate to catch the M&Ms and keep them clean as well). We determine for each M&M if it lives or dies.

If the "m" shows on top this M&M dies, otherwise there is life for this M&M. Upon death you should remove the M&M from the population (set these aside as we will need them for another experiment), count and note down the number of M&Ms who survive in Table~ref{table:BD}, and thus put fewer M&Ms back into your container for the next iteration. Do this over and over and record your results.

## Authors

Author(s): Brian Winkel

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

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