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    3-051-ProjectileMotions-ModelingScenario
    We consider several instances of projectile flight without resistance, one on level ground and one from edge of cliff to determine maximum distance and placement.

    Keywords: trajectorylaunching radiantprojectile motionprojectileno resistanceangle of launch

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    Wing Aspect Ratio and Morphological Measurement Analysis Relating to Bird Flight and Natural History
    This activity simulates analysis and identification of bird specimens based on the relationship of the natural history of bird species with the morphographic measurements and ratios compared to...
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    Fantastic Birds and Where to Find Them
    5E lesson plan for middle/high school aligned to NGSS standards.

    Keywords: conservationspecies interactionsidigbionatural historyBiodiversityendangered species

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    Ocean Acidification: Predator-Prey Interactions of Intertidal Snails and Sea Stars
    This lesson discusses ocean acidification, its causes, and the potential dangers that it may pose to aquatic ecosystems by analyzing the relationship between intertidal invertebrates. While...

    Keywords: predator-prey interactionsocean acidification

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    2013-Brian_Winkel-An_Optimal_Control_Model_in_Insect_Colonies
    we find and develop background material on an application of optimal control theory to model the evolutionary strategy of an insect colony to produce the maximum number of queen or reproducer...

    Keywords: insect colonyoptimal controlparameter

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    HSI - Student Research Journal - Vol.3 Issue 1 - Summer 2021
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 3 - Issue 1 - Summer 2021...

    Keywords: scientific methodscience education

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    HSI - Student Research Journal - Vol.1 Issue 3 - Fall 2020
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 1 - Issue 3 - Fall 2020...

    Keywords: scientific methodscience education

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    3-080-PendulumModeling-ModelingScenario
    We lead students through building model for several pendulum configurations in motion and ask students to compare results.

    Keywords: pendulumperiodlinearization

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    Exploring the March to Mars Using 3D Print Models
    With the increased availability of 3D printers and open databases containing 3D print files, academic institutions are giving more thought into how such technology can be used in the classroom to...

    Keywords: waterMarsmicroorganismsproperties of life

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    6-008-PursuitModels-Modeling Scenario
    Students are prompted to build systems of nonlinear differential equations to model pursuit-evader activities in which a pursuer attempts to follow, perhaps track down and come close to, an evader...
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    STEM as Culture: Exploring exclusion and inclusion in mathematics and biology
    This is a paper given as a plenary lecture at the second CalcConf in Bergen, Norway, June 2023. The paper explores how marginalization in society & living between worlds becomes a superpower in...

    Keywords: calculusbiocalculusrule of fivemarine biologyco2Microagressionsmauna keamauna loafeministtestimonioindigenous epistomologyanzalduagutierrezdisciplinary microaggressions

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    2016-Mehmet_Pakdemirli-Mathematical design of a highway exit curve
    Using fundamental principles of physics and calculus, the differential equation determining the curve function is derived.

    Keywords: kinematicscurve designhighway exittangential acceleration

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    HSI - Student Research Journal - Vol.2 Issue 1 - Spring 2021
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 2 - Issue 1 - Spring 2021...

    Keywords: scientific methodscience education

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    HSI - Student Research Journal - Vol.1 Issue 4 - Fall 2020
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 1 - Issue 4 - Fall 2020...

    Keywords: scientific methodscience education

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    HSI - Student Research Journal - Vol.1 Issue 2 - Fall 2020 v.1.0
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 1 - Issue 2 - Fall 2020...

    Keywords: scientific methodscience education

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    HSI - Student Research Journal - Vol.1 Issue 1 - Fall 2020
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 1 - Issue 1 - Fall 2020...
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    3-020-ChordPathTime-ModelingScenario
    Using Newton's Second Law of motion we can determine the time it takes for a mass to slide along a chord of a vertical circle from high point to any point along the circle. Initially, the result is...

    Keywords: Unit CirclepathfallinggravitychordNetwon's Second Law of Motion

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    Scientist Spotlights and Data Nuggets Workshop Materials (BIOME 2021)
    Materials and resources for the "Scientist Spotlights and Data Nuggets Workshop," presented at the 2021 Biology and Mathematics Educators (BIOME) Institute.

    Keywords: data literacyDiversity in STEM classroomsonline professional development

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    3-043-BallisticModeling-SpongeDart-ModelingScenario
    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance.

    Keywords: projectile motionair resistanceballisticsdimensional analysisNewtonian mechanicssponge dartNerf gunNerf dartBuckingham's Theorem

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    3-065-UpDown-ModelingScenario
    We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and...

    Keywords: terminal velocityNewton's Second Law of Motionvelocitymotionapex

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