Skip to Main Content
Powered by
QUBES
Login
close
SCUDEM
EXPO
SIMIODE EXPO 2024
SIMIODE EXPO 2023
SIMIODE EXPO 2022
SIMIODE EXPO 2021
Textbook
Redeem Access or Download Code
Third Party Sales
Browse
Starter Kit
Authors
About
Newsletter
Members
219
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(18)
Modeling Scenario
(18)
Technique Narrative
(0)
Potential Scenario
(0)
Article or Presentation
(0)
Free Online Textbook
(0)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(18)
ODE
(18)
PDE
(0)
Difference
(0)
Delay
(0)
Integral
(0)
First
(7)
Second
(10)
Higher
(0)
Linear
(13)
Nonlinear
(2)
System
(5)
Constant Coeff
(6)
Homogeneous
(7)
Nonhomogeneous
(6)
Other
(0)
Technique
(18)
Boundary Value Problems
(0)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(14)
Integrating Factor
(1)
Laplace Transform
(0)
Linear Algebra
(1)
Matrices
(1)
Numerical Methods
(2)
Parameter Estimation
(9)
Qualitative Behavior
(2)
Separable
(2)
Separation of Variables
(4)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(1)
Variation of Parameters
(0)
Other
(1)
Qualitative Analysis
(18)
Equilibrium
(0)
Stability
(1)
Attractor
(0)
Phase Plane
(1)
Graphical analysis
(10)
Eigenvalue analysis
(0)
Parameters
(9)
Other
(3)
Application Area
(18)
Chemistry
(1)
Economics
(0)
Engineering
(2)
Humanities
(0)
Life Sciences
(1)
Mathematics
(0)
Modeling (general)
(15)
Physics
(15)
Social Sciences
(1)
Other
(0)
Course
(18)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(5)
Calculus 3 (multivariable)
(0)
Differential Equations
(17)
Modeling
(17)
Other
(0)
Course Level
(18)
Introductory
(18)
Upper Level
(16)
Graduate
(0)
High School
(17)
Other
(0)
Lesson Length
(18)
Portion of one class period
(12)
One class period
(6)
Multiple class periods
(1)
One term (semester or quarter)
(0)
One year
(0)
Other
(0)
Technology
(18)
Derive
(0)
Excel
(2)
GeoGebra
(0)
Maple
(0)
Mathematica
(10)
MathCad
(0)
MatLab
(1)
Octave
(0)
Python
(2)
R
(0)
SAGE
(0)
Desmos
(1)
Calculator
(0)
None
(3)
Other
(4)
Approach
(18)
Directed
(0)
Flipped
(0)
Guided
(18)
Open-ended
(1)
Discussion
(0)
Develop model
(1)
Other
(0)
Skills
(18)
Data collection
(4)
Data analysis
(14)
Programming
(1)
Statistics
(1)
Other
(4)
Key Scientific Process Skills
(18)
Reading research papers
(0)
Reviewing prior research
(1)
Asking a question
(18)
Formulating hypotheses
(18)
Designing/conducting experiments
(5)
Predicting outcomes
(6)
Gathering data/making observations
(4)
Analyzing data
(11)
Interpreting results/data
(10)
Displaying/modeling results/data
(11)
Communicating results
(8)
Translating into mathematics
(0)
Assessment Type
(18)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(0)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(16)
Answer clicker-type question(s)
(0)
Answer essay question(s)
(0)
Answer fill in the blank question(s)
(0)
Answer multiple choice question(s)
(0)
Answer short answer question(s)
(0)
Answer true/false question(s)
(0)
Create a concept map
(0)
Create a diagram, drawing, figure, etc.
(0)
Create a website
(0)
Create graph, table etc. to present data
(0)
Design an experiment or research study
(0)
Design/present a poster
(0)
Give an oral presentation
(0)
Informal in-class report
(0)
Interpret data
(0)
Order items (e.g. strip sequence)
(0)
Participate in discussion
(0)
Peer evaluation
(0)
Post-test
(0)
Pre-test
(0)
Produce a video or video response
(0)
Respond to metacognition/reflection prompt
(0)
Self evaluation
(0)
Solve problem(s)
(0)
Written assignment: One minute paper
(0)
Written assignment: Brochure
(0)
Written assignment: Essay
(1)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(17)
Written assignment: Literature review
(0)
Pedagogical Approaches
(17)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(0)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(1)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(16)
Vision and Change Core Competencies - Ability
(18)
Create and develop models
(18)
Use quantitative reasoning
(18)
Design simulations
(3)
Tap into interdisciplinary study
(1)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(1)
Understand the relationship between material and society
(0)
Principles of How People Learn
(20)
Motivates student to learn material
(19)
Focuses student on the material to be learned
(18)
Develops supportive community of learners
(0)
Leverages differences among learners
(1)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(2)
Bloom's Cognitive Level
(18)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(18)
Synthesis/Evaluation/Creation
(0)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
338
views
215
downloads
0
comments
1-043-CoolingUpAndDown-ModelingScenario
We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.
temperature
oscillation
Newton's Law of Cooling
cooling
thermostat
air conditioner
Modeling Scenario
295
views
149
downloads
0
comments
5-030-AirshedSulphur-ModelingScenario
Temperature inversions and low wind speeds trap air pollutants in a mountain valley for a period of time. Gaseous sulfur compounds are a significant air pollution problem. We offer a model for analysis to predict long-term levels of levels of...
sulphur
pollution
airshed
hydrogen sulfide
sulfur dioxide
Modeling Scenario
658
views
712
downloads
0
comments
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.
projectile motion
air resistance
ballistics
dimensional analysis
Newtonian mechanics
sponge dart
Nerf gun
Nerf dart
Buckingham's Theorem
Modeling Scenario
344
views
117
downloads
0
comments
1-041-AirToTop-ModelingScenario
One common rule taught to SCUBA divers is to ascend no faster than thirty feet per minute. In this project we will examine safe variable ascent rates, time required for a safe ascent using variable ascent rates.
SCUBA
ascent
air management
breathing
diving
underwater
Modeling Scenario
328
views
149
downloads
0
comments
1-105-AnimalFall-ModelingScenario
This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.
animal
Netwon's Second Law of Motion
falling body
terminal velocity
air resistance
Newton
air friction
fall
Modeling Scenario
462
views
276
downloads
0
comments
1-145-FastPitch-ModelingScenario
We consider the problem of comparing pitch velocities using measurement methods in different eras of baseball.
Measurement
resistance
air resistance
baseball
pitcher
fast
Modeling Scenario
351
views
273
downloads
0
comments
3-011-EulerBallThrowing-ModelingScenario
If a tennis ball is thrown through the air it will hit the ground due to gravity. Using Euler's method, write a short script (Python, Matlab, R, etc.) to find the trajectory of the ball which will maximize the distance the ball lands from the...
coding
dragon
Vectors
Euler's method
ball
Modeling Scenario
291
views
154
downloads
0
comments
3-015-StyrofoamBallFall-ModelingScenario
We are given data on a falling Styrofoam ball and we seek to model this motion.
football
resistance
gravity
falling body
sum of square errors
Newton's Second Law of Motion
sum of forces
styrofoam
Modeling Scenario
204
views
234
downloads
0
comments
4-036-AltitudeDependentGravity-ModelingScenario
When projectiles are way above Earth's surface gravity's changes become important when dealing with projectiles at high altitudes. We lay out an approach for such a case which is a second-order differential equation.
a
gravity
projectile
linearization
ltitufe
altitude
Modeling Scenario
347
views
342
downloads
0
comments
4-039-FallingDarts-ModelingScenario
we develop, solve, and analyze a second order differential equation model for free fall incorporating air resistance. Students solve the model using two methods -- reduction of order and separation of variables, and method of undetermined...
optimization
resistance
terminal velocity
muzzle velocity
drag coefficient
free fall
air drag
Modeling Scenario
1147
views
623
downloads
0
comments
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 terminal velocity.
terminal velocity
Newton's Second Law of Motion
velocity
motion
apex
Modeling Scenario
242
views
117
downloads
0
comments
3-041-UpDown-ModelingScenario
Shoot a projectile straight up in the air. Determine maximum height the projectile will go. Consider time T(a) (0 < a < 1) it takes between when the projectile passes distance a.H going up and then coming down. Develop T(a) as a function of a.
gravity
projectile motion
falling body
maximum heightf
timing
Modeling Scenario
984
views
1535
downloads
0
comments
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.
resistance
Free Body Diagram
coffee filter
force
graviity
falling object
Modeling Scenario
222
views
210
downloads
0
comments
5-077-MandMAttritionWarfare-ModelingScenario
Students model attrition between two opposing forces using M&M candies and discover a system of linear differential equations of order one, often called the Lanchester equations.
attrition
Lanchester model
predator-predator
N-square Law
Modeling Scenario
201
views
210
downloads
0
comments
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.
projectile motion
terminal velocity
projectile
water resistance
reduction of order
friction
air resistance
Modeling Scenario
206
views
213
downloads
0
comments
1-107-ClothDry-ModelingScenario
We build a mathematical model for the rate of drying in a wet cloth while hanging in air. A model can be based on underlying physical principles (analytic) or based on observations and reasoned equations, but no physical assumptions (empirical).
drying
cloth
evaporation
Modeling Scenario
237
views
175
downloads
0
comments
3-042-CatapultLaunch-ModelingScenario
We maximize the range of a projectile by backing up an incline in the opposite direction of the range to give some initial lift. Find the position on the hill from which to launch the projectile to give the best lift.
projectile motion
catapult
uphill
launch angle
Modeling Scenario
357
views
283
downloads
0
comments
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...
evaporation
cone
alcohol
Petri dish
Results 1 - 18 of 18
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
Next
End