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
224
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(78)
Modeling Scenario
(74)
Technique Narrative
(2)
Potential Scenario
(0)
Article or Presentation
(2)
Free Online Textbook
(0)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(78)
ODE
(71)
PDE
(3)
Difference
(8)
Delay
(0)
Integral
(0)
First
(44)
Second
(13)
Higher
(1)
Linear
(39)
Nonlinear
(28)
System
(19)
Constant Coeff
(21)
Homogeneous
(23)
Nonhomogeneous
(13)
Other
(0)
Technique
(78)
Boundary Value Problems
(1)
Eigen Methods
(2)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(55)
Integrating Factor
(9)
Laplace Transform
(3)
Linear Algebra
(0)
Matrices
(1)
Numerical Methods
(9)
Parameter Estimation
(31)
Qualitative Behavior
(4)
Separable
(10)
Separation of Variables
(21)
Series
(1)
Substitution Methods
(3)
Theory (general)
(1)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(1)
Qualitative Analysis
(78)
Equilibrium
(4)
Stability
(3)
Attractor
(0)
Phase Plane
(1)
Graphical analysis
(29)
Eigenvalue analysis
(0)
Parameters
(43)
Other
(20)
Application Area
(78)
Chemistry
(8)
Economics
(4)
Engineering
(5)
Humanities
(1)
Life Sciences
(22)
Mathematics
(3)
Modeling (general)
(57)
Physics
(35)
Social Sciences
(5)
Other
(1)
Course
(78)
Precalculus
(1)
Calculus 1
(1)
Calculus 2
(36)
Calculus 3 (multivariable)
(2)
Differential Equations
(75)
Modeling
(67)
Other
(2)
Course Level
(78)
Introductory
(77)
Upper Level
(66)
Graduate
(0)
High School
(57)
Other
(0)
Lesson Length
(256)
Portion of one class period
(78)
One class period
(48)
Multiple class periods
(7)
One term (semester or quarter)
(7)
One year
(0)
Other
(126)
Technology
(78)
Derive
(0)
Excel
(12)
GeoGebra
(0)
Maple
(3)
Mathematica
(47)
MathCad
(0)
MatLab
(7)
Octave
(2)
Python
(0)
R
(1)
SAGE
(1)
Desmos
(0)
Calculator
(1)
None
(15)
Other
(8)
Approach
(78)
Directed
(5)
Flipped
(0)
Guided
(72)
Open-ended
(5)
Discussion
(1)
Develop model
(4)
Other
(0)
Skills
(78)
Data collection
(17)
Data analysis
(49)
Programming
(1)
Statistics
(5)
Other
(27)
Key Scientific Process Skills
(77)
Reading research papers
(1)
Reviewing prior research
(4)
Asking a question
(75)
Formulating hypotheses
(63)
Designing/conducting experiments
(11)
Predicting outcomes
(23)
Gathering data/making observations
(12)
Analyzing data
(32)
Interpreting results/data
(38)
Displaying/modeling results/data
(38)
Communicating results
(30)
Translating into mathematics
(1)
Assessment Type
(77)
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
(72)
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
(1)
Informal in-class report
(1)
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
(1)
Written assignment: Brochure
(0)
Written assignment: Essay
(0)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(73)
Written assignment: Literature review
(1)
Pedagogical Approaches
(68)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(5)
Clicker Question
(0)
Collaborative Work
(3)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(3)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(61)
Vision and Change Core Competencies - Ability
(77)
Create and develop models
(75)
Use quantitative reasoning
(69)
Design simulations
(9)
Tap into interdisciplinary study
(6)
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
(75)
Motivates student to learn material
(74)
Focuses student on the material to be learned
(67)
Develops supportive community of learners
(1)
Leverages differences among learners
(3)
Reveals prior knowledge
(1)
Requires student to do the bulk of the work
(3)
Bloom's Cognitive Level
(72)
Foundational: factual knowledge & comprehension
(5)
Application & Analysis
(69)
Synthesis/Evaluation/Creation
(1)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
429
views
119
downloads
0
comments
6-067-LotkaVolterra-ModelingScenario
This modeling scenario guides students through the process of fitting the Lotka-Volterra model of two differential equations to a real time series observational data. Students use the capabilities of R and R studio.
time series
data
competition
Lotka-Volterra
model fitting
prediction
gauseR
experimental
Modeling Scenario
392
views
265
downloads
0
comments
5-076-LanchesterLaws-ModelingScenario
Lanchester's laws are used to calculate the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and B as a function of time,
Lanchester's laws
sensitivity analysisanalysis
Modeling Scenario
683
views
629
downloads
0
comments
6-001-Epidemic-ModelingScenario
This paper presents real-world data, a problem statement, and discussion of a common approach to modeling that data, including student responses. In particular, we provide time-series data on the number of boys bedridden due to an outbreak of...
data
difference equations
parameter estimation
continuous
epidemic
discrete
boarding school
Modeling Scenario
430
views
331
downloads
0
comments
1-061-PotatoCooling-ModelingScenario
We model the cooling of a baked potato and compare it to student-collected data.
least sum of square errors
Newton's Law of Cooling
cooling
potato
Technique Narrative
761
views
224
downloads
0
comments
7-006-LaplaceTransformBirth-TechniqueNarrative
We present a way of introducing the Laplace Transform as the continuous analogue of a power series expression of a function.
Transformations
power series
Modeling Scenario
266
views
307
downloads
0
comments
9-010-TravelingWave-ModelingScenario
Students are taken through a traveling wave analysis of a porous medium model. While the starting point is a nonlinear partial differential equation model, after a change of variables, students are led quickly to an ordinary differential equation...
traveling waves
seepage velocity
porous medium
Modeling Scenario
514
views
178
downloads
0
comments
3-033-S-TimeUpTimeDown-ModelingScenario
We seek to compare for the time a projectile takes to go vertically up with the time it takes to return to its starting position.
projectile motion
apex
vertical motion
Modeling Scenario
1186
views
3708
downloads
0
comments
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 petróleo
datos
expansión
oil slick
Modeling Scenario
247
views
123
downloads
0
comments
3-040-FirstPassageTime-ModelingScenario
We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first passage time through 0 value with several applications.
oscillator
damped
underdamped
first passage
first passage time
spring mash dashpot
Modeling Scenario
290
views
209
downloads
0
comments
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.
gravity
projectile motion
falling body
speed of sound
Modeling Scenario
309
views
177
downloads
0
comments
1-071-NewtonWatson-ModelingScenario
Sherlock Holmes determines the time of death for a body found on a street in London and we need to reproduce his astute analysis
temperature
death
Newton's Law of Cooling
time of death
Sherlock Holmes
Modeling Scenario
620
views
243
downloads
0
comments
1-008-HangTime-ModelingScenario
We present a modeling opportunity for students in which they model the vertical position of a basketball player taking a jump shot. The goal of the scenario is to get students to consider the meaning of the notion ``hang-tune.''
gravity
hang tim
Newton's Second Law of Motion
jump shot
Modeling Scenario
247
views
183
downloads
0
comments
1-064-TorricelliBox-ModelingScenario
The time it takes a column of water to empty and the time it takes the same volume of column of water with a box (various sizes) submerged in the column of water are compared through modeling with Torricelli's Law.
groundwater flow
column of water
Torricelli's Law
water displacement
submerged box
Modeling Scenario
267
views
253
downloads
0
comments
1-052-SaltWaterTanks-ModelingScenario
We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.
salt
tank
mixing
Modeling Scenario
272
views
164
downloads
0
comments
5-025-SaltCompartments-ModelingScenario
Model a phenomena in which salt mixtures from two tanks are mixed using several strategies.
compartment
salt
tanks
Modeling Scenario
260
views
265
downloads
0
comments
1-079-HomeHeating-ModelingScenario
This project concerns using Newton's Law of Cooling to model the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return?
Optimal Control Theory
temperature
heat
furnace
Newton's Law of Cooling
home heating
specific heat
Modeling Scenario
644
views
545
downloads
0
comments
1-032-WordPropagation-ModelingScenario
This activity is a gentle introduction to modeling via differential equations. The students will learn about exponential growth by modeling the rate at which the word jumbo has propagated through English language texts over time.
Google
exponential growth
language
word problems
etymology
Ngram
propagation
Jumbo
Modeling Scenario
351
views
123
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
336
views
139
downloads
0
comments
1-115-ModelingWithFirstOrderODEs-ModelingScenario
Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.
bacteria
falling object
Newton's Law of Cooling
drug
cooling
drag
Modeling Scenario
230
views
151
downloads
0
comments
6-028-SaltCompartments-ModelingScenario
Model a phenomena in which salt mixtures from two tanks are mixed with changing volumes of water.
concentration
comparment
salt
tank
mixing
Results 1 - 20 of 78
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
Next
End