## Resources

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Resource Type (5)

Modeling Scenario(4) Potential Scenario(1)

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Differential Equation Type (5)

ODE(4) First(5) Nonlinear(3) Homogeneous(2)

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Technique (5)

Initial Value Problems(4) Parameter Estimation(2) Separable(2) Separation of Variables(3)

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Qualitative Analysis (5)

Graphical analysis(1) Parameters(4)

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Application Area (5)

Mathematics(1) Modeling (general)(4) Physics(5)

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Course (5)

Calculus 2(3) Differential Equations(5) Modeling(5)

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Course Level (5)

Introductory(5) Upper Level(4) High School(2)

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Lesson Length (5)

Portion of one class period(3) One class period(2) Other(1)

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Technology (5)

Excel(1) Mathematica(4) Other(1)

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Approach (5)

Guided(4) Open-ended(1) Develop model(1) Other(1)

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Skills (5)

Data collection(1) Data analysis(3) Other(2)

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Key Scientific Process Skills (4)

Asking a question(4) Formulating hypotheses(4) Designing/conducting experiments(2) Predicting outcomes(1) Gathering data/making observations(1) Analyzing data(2) Interpreting results/data(1) Displaying/modeling results/data(2) Communicating results(1)

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Assessment Type (4)

Homework(4) Written assignment: Report(4)

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Pedagogical Approaches (4)

Guided inquiry/investigation(4)

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Vision and Change Core Competencies - Ability (4)

Create and develop models(4) Use quantitative reasoning(4)

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Principles of How People Learn (4)

Motivates student to learn material(4) Focuses student on the material to be learned(4) Leverages differences among learners(1) Requires student to do the bulk of the work(1)

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Bloom's Cognitive Level (3)

Application & Analysis(3)

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Includes clear efforts on Issues (0)

###### Applied Filters

Modeling Scenario

##### 1-029-ConeToCubeFlow-ModelingScenario

An inverted right circular cone with a hole at the bottom is suspended above an open-topped cube which also has a hole in the center of the bottom. The cone is filled with water and we model water flow from cone to cube and out the bottom of the...Modeling Scenario

##### 1-055-WaterFallingInCone-ModelingScenario

We offer an opportunity to model the height of a falling body of water in a right circular cone (funnel) and to estimate an appropriate parameter based on data collected from a video of the experiment found on YouTube.Potential Scenario

##### 1999-Leonid_Hanin-Which tank empties first

Suppose that water towers like those shown in the opening are initially filled with water and have the same volume, height, and cross-sectional outlet area. Which one empties first?Modeling Scenario

##### 1-026-Evaporation-ModelingScenario

We provide data on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We ask students to develop a mathematical model for the rate of change in the respective...Modeling Scenario