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
223
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(9)
Modeling Scenario
(7)
Technique Narrative
(1)
Potential Scenario
(0)
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
(9)
ODE
(8)
PDE
(1)
Difference
(0)
Delay
(0)
Integral
(0)
First
(9)
Second
(0)
Higher
(0)
Linear
(1)
Nonlinear
(9)
System
(0)
Constant Coeff
(0)
Homogeneous
(4)
Nonhomogeneous
(0)
Other
(0)
Technique
(9)
Boundary Value Problems
(0)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(8)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(1)
Parameter Estimation
(5)
Qualitative Behavior
(0)
Separable
(2)
Separation of Variables
(5)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(0)
Qualitative Analysis
(9)
Equilibrium
(0)
Stability
(0)
Attractor
(0)
Phase Plane
(0)
Graphical analysis
(4)
Eigenvalue analysis
(0)
Parameters
(5)
Other
(2)
Application Area
(9)
Chemistry
(0)
Economics
(0)
Engineering
(0)
Humanities
(0)
Life Sciences
(0)
Mathematics
(0)
Modeling (general)
(9)
Physics
(8)
Social Sciences
(0)
Other
(0)
Course
(9)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(8)
Calculus 3 (multivariable)
(0)
Differential Equations
(9)
Modeling
(7)
Other
(0)
Course Level
(9)
Introductory
(9)
Upper Level
(8)
Graduate
(0)
High School
(7)
Other
(0)
Lesson Length
(9)
Portion of one class period
(8)
One class period
(1)
Multiple class periods
(0)
One term (semester or quarter)
(0)
One year
(0)
Other
(0)
Technology
(9)
Derive
(0)
Excel
(1)
GeoGebra
(0)
Maple
(0)
Mathematica
(6)
MathCad
(0)
MatLab
(0)
Octave
(0)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(0)
Other
(2)
Approach
(9)
Directed
(1)
Flipped
(0)
Guided
(8)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(0)
Skills
(9)
Data collection
(3)
Data analysis
(7)
Programming
(0)
Statistics
(0)
Other
(2)
Key Scientific Process Skills
(8)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(8)
Formulating hypotheses
(8)
Designing/conducting experiments
(2)
Predicting outcomes
(1)
Gathering data/making observations
(2)
Analyzing data
(2)
Interpreting results/data
(1)
Displaying/modeling results/data
(1)
Communicating results
(1)
Translating into mathematics
(0)
Assessment Type
(8)
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
(8)
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
(0)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(7)
Written assignment: Literature review
(0)
Pedagogical Approaches
(7)
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
(0)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(7)
Vision and Change Core Competencies - Ability
(10)
Create and develop models
(10)
Use quantitative reasoning
(9)
Design simulations
(2)
Tap into interdisciplinary study
(0)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(0)
Understand the relationship between material and society
(0)
Principles of How People Learn
(8)
Motivates student to learn material
(8)
Focuses student on the material to be learned
(7)
Develops supportive community of learners
(0)
Leverages differences among learners
(0)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(8)
Foundational: factual knowledge & comprehension
(2)
Application & Analysis
(6)
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
Article or Presentation
198
views
581
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
Modeling Scenario
276
views
200
downloads
0
comments
1-074-BottleWaterFlow-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.
b
water
Torricelli's Law
bottle
Technique Narrative
424
views
206
downloads
0
comments
2-005-LinearizeItAll-TechniqueNarrative
Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained.
computation
error
Torricelli's Law
data fitting
linear approximation
Modeling Scenario
316
views
144
downloads
0
comments
1-014-DrainingContainers
Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the cylinder, which empties faster?
containers
tank
flow
Torricelli's Law
draining
fixed volume
Modeling Scenario
297
views
200
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
220
views
221
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
Modeling Scenario
247
views
178
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
201
views
268
downloads
0
comments
1-140-LeakyBucket-ModelingScenario
We seek to model the height of water in a cylindrical tank (bucket) in which water flows out the bottom of the tank through a small bore hole while we are pouring water into the tank at the top of the tank at a constant (or varying) rate.
flow
Torricelli's Law
leaky bucket
Modeling Scenario
251
views
183
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
Results 1 - 9 of 9
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
Next
End