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
(23)
Modeling Scenario
(21)
Technique Narrative
(0)
Potential Scenario
(1)
Article or Presentation
(1)
Free Online Textbook
(0)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(23)
ODE
(20)
PDE
(2)
Difference
(0)
Delay
(0)
Integral
(0)
First
(22)
Second
(1)
Higher
(0)
Linear
(7)
Nonlinear
(13)
System
(0)
Constant Coeff
(0)
Homogeneous
(9)
Nonhomogeneous
(4)
Other
(0)
Technique
(104)
Boundary Value Problems
(9)
Eigen Methods
(4)
Exact Equations
(0)
Fourier Series
(1)
Initial Value Problems
(82)
Integrating Factor
(5)
Laplace Transform
(4)
Linear Algebra
(3)
Matrices
(2)
Numerical Methods
(22)
Parameter Estimation
(36)
Qualitative Behavior
(8)
Separable
(16)
Separation of Variables
(23)
Series
(0)
Substitution Methods
(2)
Theory (general)
(1)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(3)
Qualitative Analysis
(23)
Equilibrium
(0)
Stability
(0)
Attractor
(0)
Phase Plane
(0)
Graphical analysis
(9)
Eigenvalue analysis
(0)
Parameters
(16)
Other
(4)
Application Area
(23)
Chemistry
(0)
Economics
(0)
Engineering
(1)
Humanities
(0)
Life Sciences
(0)
Mathematics
(1)
Modeling (general)
(21)
Physics
(22)
Social Sciences
(0)
Other
(0)
Course
(23)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(17)
Calculus 3 (multivariable)
(0)
Differential Equations
(23)
Modeling
(21)
Other
(0)
Course Level
(23)
Introductory
(23)
Upper Level
(18)
Graduate
(0)
High School
(19)
Other
(0)
Lesson Length
(23)
Portion of one class period
(16)
One class period
(9)
Multiple class periods
(1)
One term (semester or quarter)
(0)
One year
(0)
Other
(1)
Technology
(23)
Derive
(0)
Excel
(7)
GeoGebra
(0)
Maple
(0)
Mathematica
(14)
MathCad
(0)
MatLab
(2)
Octave
(0)
Python
(0)
R
(1)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(2)
Other
(2)
Approach
(23)
Directed
(2)
Flipped
(0)
Guided
(20)
Open-ended
(2)
Discussion
(2)
Develop model
(3)
Other
(1)
Skills
(23)
Data collection
(9)
Data analysis
(14)
Programming
(1)
Statistics
(0)
Other
(8)
Key Scientific Process Skills
(21)
Reading research papers
(1)
Reviewing prior research
(1)
Asking a question
(20)
Formulating hypotheses
(18)
Designing/conducting experiments
(6)
Predicting outcomes
(6)
Gathering data/making observations
(8)
Analyzing data
(9)
Interpreting results/data
(8)
Displaying/modeling results/data
(9)
Communicating results
(7)
Translating into mathematics
(1)
Assessment Type
(21)
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
(20)
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
(0)
Written assignment: Brochure
(0)
Written assignment: Essay
(0)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(20)
Written assignment: Literature review
(0)
Pedagogical Approaches
(20)
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
(19)
Vision and Change Core Competencies - Ability
(22)
Create and develop models
(22)
Use quantitative reasoning
(20)
Design simulations
(2)
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
(21)
Motivates student to learn material
(21)
Focuses student on the material to be learned
(19)
Develops supportive community of learners
(0)
Leverages differences among learners
(2)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(2)
Bloom's Cognitive Level
(19)
Foundational: factual knowledge & comprehension
(1)
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
247
views
181
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
298
views
208
downloads
0
comments
1-058-WaterClocks-ModelingScenario
We apply Torricelli's Law to the task of building a water clock in which the height of the water in a container falls at a constant rate when the container has a hole in the bottom to let the water flow out.
flow
Torricelli's Law
spigots
water clock
Modeling Scenario
251
views
185
downloads
0
comments
1-057-FiguringFluidFlow-ModelingScenario
We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which model is the best of the three.
discharge
tank
Torricelli's Law
Conservation of Energy
fluid flow
height
liquid
Modeling Scenario
404
views
277
downloads
0
comments
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...
water
flow
Torricelli's Law
cone
cube
Modeling Scenario
431
views
1060
downloads
0
comments
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
278
views
193
downloads
0
comments
1-059-ContainerShapeFallingWater-ModelingScenario
We examine many different physical situations to determine the time it takes a fixed volume of water to flow out of different shape containers through the same size exit hole at the bottom of the container.
containers
Torricelli's Law
shape
discharge coefficient
Modeling Scenario
305
views
207
downloads
0
comments
1-051-OneTankSaltModel-ModelingScenario
A large tank initially contains 60 pounds of salt dissolved into 90 gallons of water. Salt water flows in at a rate of 4 gallons per minute, with a salt density of 2 pounds per gallon. The incoming water is mixed in with the contents of the tank...
compartment
salt
tank
mixing
flow
Modeling Scenario
262
views
162
downloads
0
comments
1-073-WaterExitBottle-ModelingScenario
We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow out of a cylindrical container.
data
water
flow
Torricelli's Law
bottle
Modeling Scenario
250
views
265
downloads
0
comments
1-090-EmptySphericalTank-ModelingScenario
We model the emptying of water from a spherical tank. First, we pump out water at a constant rate. Second, we allow the water to exit through a small hole in the bottom of the tank. We seek to determine how fast the water level is falling in both...
Volume
sphere
Torricelli's Law
timing
spherical tank
fluid
empty
Modeling Scenario
220
views
225
downloads
0
comments
1-063-ThreeHoleColumnOfWater-ModelingScenario
We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.
falling
column of water
Torricelli's Law
multiple spigots
spigots
Article or Presentation
199
views
582
downloads
1
comments
2020-TeachingModule-ModelingFallingColumnOfWater
We discuss how to model a falling column of water empirically and analytically from first principles in physics laws.
module
column of water
Torricelli's Law
Torricelli
Teaching Module
Potential Scenario
207
views
99
downloads
0
comments
2018-Chris McCarthy-Newtons Law of Cooling
You have hot water (initial temperature ) in a container, say a cup or glass. The temperature in the room is cooler, say a constant degrees Celsius. Come up with a differential equation that models the water's temperature.
data
water
Newton's Law of Cooling
cooling
Modeling Scenario
376
views
301
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
Modeling Scenario
255
views
283
downloads
0
comments
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.
Torricelli's Law
discharge coefficient
cone
contraction coefficient
Modeling Scenario
266
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
235
views
581
downloads
0
comments
9-020-HeatDiffusion-ModelingScenario
This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario.
laboratory
Diffusion
heat
Modeling Scenario
284
views
486
downloads
0
comments
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
245
views
152
downloads
0
comments
1-068-WaterBottleCooling-ModelingScenario
Students create of a differential equation describing how fluid in a water bottle will change its temperature to approach the ambient temperature in a room.
b
Newton's Law of Cooling
water bottle
autonomous
bottle
Modeling Scenario
387
views
250
downloads
0
comments
1-097-SwimmingPool-ModelingScenario
This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods.
concentration
c
chlorine
numerical error
swimming pool
horine
erreor
Modeling Scenario
362
views
237
downloads
0
comments
1-020-IceMelt-ModelingScenario
We offer up the claim of a store catalog that its ice ball mold allows users to ``. . . make ice balls that outlast cubes and won't water drinks down.'' We ask students to build a mathematical model to defend or contradict this claim.
sphere
ice
melt
cube
Results 1 - 20 of 23
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End