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    1-086-MedicinalPill-ModelingScenario
    Administration of a medicinal pill in single and multiple doses is modeled.

    Keywords: medicinespillovercompartmentbloodstreamGIT-Track

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    1-094-SteepingTea-ModelingScenario
    We provide photographs of steeping process for a tea steeped in hot water. Students build a differential equation model for the steeping process and do parameter estimation using the color of our...

    Keywords: concentrationSurface AreacolorNewton's Law of Coolingteasugar

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    1-140-LeakyBucket-ModelingScenario
    We seek to model the height of water in a cylindrical tank (bucket) in which water flows out the bottom of the tank through a small bore hole while we are pouring water into the tank at the top...

    Keywords: flowTorricelli's Lawleaky bucket

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    3-006-Buoyancy-ModelingScenario
    We offer data from a physical experiment in which the depth of a container in water is measured and ask students to build a model of buoyancy based on Newton's Second Law of Motion and a Free Body...

    Keywords: data collectionexperimentbuoyancyNewton's Second Law of Motion

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    3-016-FallingCoffeeFilters-ModelingScenario
    We are given data on the time and position of a stack of coffee filters as it falls to the ground. We attempt to model the falling mass and we confront the different resistance terms and models.

    Keywords: resistanceFree Body Diagramcoffee filterforcegraviityfalling object

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    3-027-BobbingDropping-ModelingScenario
    We present two exercises in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law...

    Keywords: drug resistancedirectedbuoyancyfree fallstatic equilibriumdisplacement

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    3-050-CometOrbitalMechanics-ModelingScenario
    The broad goal of this activity is to use a basic numerical method to approximate the solution of an initial value problem. In this particular case, we will use Euler's method to help model the...

    Keywords: trajectorySpaceEuler's methodorbital mechanicscometorbit

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    4-035-ParEstSteadyState-ModelingScenario
    Students estimate parameters in a second order, linear, ordinary differential equations through analysis of the steady state solution. By applying a driver we can collect data in terms of the...

    Keywords: driversteady statesum of square errors

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    9-152-HorizontalBeam-ModelingScenario
    This scenario is designed to lead students to discover a differential equation that models the vertical deflection of a horizontal beam under different boundary conditions.

    Keywords: Polynomial dynamical systembeamcantilever

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    5-002-RelationshipDynamics-ModelingScenario
    The different possible dynamics of a two-person romantic relationship are modeled -- as a linear two dimensional system of equations -- and analyzed.

    Keywords: love affairRomeo and Juliet

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    3-095-ShotInWater-ModelingScenario
    This project uses Newton's Second Law of Motion in conjunction with a quadratic model for the resistance experienced by a bullet moving through water to analyze a classic action movie scene.

    Keywords: projectile motionterminal velocityprojectilewater resistancereduction of orderfrictionair resistance

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    1-127-FishHarvesting-ModelingScenario
    We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not...

    Keywords: Management Of Dataoptimal controlfisherieslogisticharvestingmaximum sustainable yield

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    3-105-FrequencyResponse-ModelingScenario
    We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

    Keywords: transient dynamicscircuitspring massdriverfrequency responseamplitudesteady state

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    3-044-DeepWell-ModelingScenario
    We drop a pebble in a deep well. Given the time elapsed from release of the pebble until we hear the splash determine the depth of the well.

    Keywords: gravityprojectile motionfalling bodyspeed of sound

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    1-037-CommonColdSpread-ModelingScenario
    This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more...

    Keywords: diseasecommon coldresidence hall

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    6-040-StruggleForExistence-ModelingScenario
    We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters

    Keywords: competitionlogisticcarrying capacityparamecium

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    5-005-Dialysis-ModelingScenario
    We design a compartment model of a kidney dialysis machine and compare 3 and 9 compartments for the machine as well as determine the effect of change in one of the parameters in the model on the...

    Keywords: countercurrent multiplierkidneydialysisconcurrentcompartment

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    Ecological Forecasting Repository of Online Educational Resources
    This pdf provides a list of over 100 educational resources related to tools and skills related to ecological forecasting.

    Keywords: statisticsvideosecologymodel buildingmodulespythonecological forecastingonline course materialcode repositoriesonline textbooksbasics of Rdata sourcesdata skillsforecast cycleapplying forecastsdecision science

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    Parabolas Everywhere?
    In this lesson students will use mathematical models to describe real-world objects and to gain better understanding of quadratic functions.
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    “Leveling Up” In Your Favorite Video Game Math Modeling Activity
    Students write linear equations that represent their model for solving a problem about playing video games.

    Keywords: modelingNIMBioslinear equationsmiddle grades (4-9)Middle SchoolSystems of Equations

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