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## Resources

##### Includes clear efforts on Issues
Modeling Scenario
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##### 3-100-Ripcord-Toys-ModelingScenario
This modeling scenario examines the motion of a ripcord-powered toy with the goal of using real data to estimate parameters in a first-order model of the velocity of the toy. Students may conduct experiments or use videos to collect data.
data physics dynamics data collection rolling slipping ripcord toy
Modeling Scenario
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##### 1-038-Ebola-ModelingScenario
Students will use data published by the World Health Organization to model the 2014 outbreak of the Ebola virus in West Africa. We begin with a simple exponential growth model and move through the modeling process to the logistic growth model.
population dynamics data analysis exponential growth Ebola logistic epidemic
Modeling Scenario
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##### 1-128-RocketFlight-ModelingScenario
We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its...
resistance Flight Rocketry mass Newton's Second Law of Motion thrust Free Body Diagram apex rocket
Modeling Scenario
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##### 9-014-TurkeyCook-ModelingScenario
The goal of this project is to investigate several models for the cooking time for a turkey based on weight, test these models with data obtained from heating curves for turkeys of various weights, and develop a new model to fit this data.
sphere heat equation turkey Panofsky radial symmetry
Modeling Scenario
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##### 1-078-MonodGrowthModel-ModelingScenario
Students model growth of bacteria E. coli in a limiting nutrient environment using data from a historical study.
bacteria nutrient cycles growth Monod consumption
Modeling Scenario
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##### 1-015-Torricelli-ModelingScenario
We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the column.
data Spanish tank column of water aperture Torricelli's Law Conservation of Energyt Solver water flow Excel Solver
Modeling Scenario
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##### 3-030-SecondOrderIntro-ModelingScenario
We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and modeling activities.
parameter estimation non-homogeneous Spanish frequency buoyancy inverse problem thrust underdamped first passage spring mash dashpot real complex homogeneous superposition parachute overdamped critically damped buoy quadratic equation roots rocket flight
Modeling Scenario
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##### 3-061-ChemEngApps-ModelingScenario
Students go through a chemical engineering problem: calculate concentration profile of cyclohexane within a catalyst pellet by solving a second order linear differential equation; then analyze the concentration as the radius of the catalyst...
Spanish porous medium catalyisis cyclohexene hydrogel dehydrogenation hyperbolic trig functions
Modeling Scenario
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##### 5-001-LSD-ModelingScenario
We describe the use of a two compartment model of a linear system of first order linear differential equations to model lysergic acid diethylamide (LSD) in the body. We provide the data from the literature.
LSD Spanish compartment pharmacokinetics lysergic acid diethylamide
Modeling Scenario
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##### 1-031-CoolIt-ModelingScenario
We offer data on the temperature of water in a beaker in a room of constant temperature and in a room of nonconstant temperature. Students consider both empirical and analytic modeling approaches. We offer additional data sets in Excel...
Spanish Newton's Law of Cooling cooling
Modeling Scenario
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##### 1-030-EyeModel-ModelingScenario
We offer a mathematical modeling experience using differential equations to model the volume of an intraocular gas bubble used by ophthalmologists to aid the healing of a surgically repaired region of the retina.
retinal surgery Akaike Information Criterion Spanish sum of square errors surgery retiona ophthalmology eye intraocular gas bubble
Modeling Scenario
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##### 1-005-OilSlick-ModelingScenario
We describe a modeling activity with difference and differential equations which enlightens students on the model building process and parameter estimation for a linear, first-order, non-homogeneous, ordinary differential equation.
model fitting spreadsheets Spanish derrame de petrÃ³leo datos expansiÃ³n oil slick
Modeling Scenario
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##### 1-007-AntTunnelBuilding-ModelingScenario
We pose the prospect of modeling just how long an ant takes to build a tunnel. With a bit of guidance students produce a model for the time it takes to build a tunnel of length x into the side of a damp sandy hill.
Spanish hormiga tÃºnel ant tunnel
Modeling Scenario
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##### 1-001-MM-DeathAndImmigration-ModelingScenario
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...
simulation immigration death Spanish dats
Modeling Scenario
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