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
(6)
Modeling Scenario
(3)
Technique Narrative
(0)
Potential Scenario
(3)
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
(6)
ODE
(6)
PDE
(0)
Difference
(1)
Delay
(0)
Integral
(0)
First
(6)
Second
(0)
Higher
(0)
Linear
(1)
Nonlinear
(3)
System
(0)
Constant Coeff
(0)
Homogeneous
(2)
Nonhomogeneous
(0)
Other
(0)
Technique
(6)
Boundary Value Problems
(0)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(5)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(0)
Parameter Estimation
(4)
Qualitative Behavior
(0)
Separable
(1)
Separation of Variables
(2)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(0)
Qualitative Analysis
(11)
Equilibrium
(0)
Stability
(0)
Attractor
(0)
Phase Plane
(0)
Graphical analysis
(4)
Eigenvalue analysis
(0)
Parameters
(6)
Other
(2)
Application Area
(6)
Chemistry
(0)
Economics
(0)
Engineering
(0)
Humanities
(0)
Life Sciences
(0)
Mathematics
(3)
Modeling (general)
(5)
Physics
(6)
Social Sciences
(0)
Other
(0)
Course
(6)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(4)
Calculus 3 (multivariable)
(0)
Differential Equations
(6)
Modeling
(6)
Other
(0)
Course Level
(6)
Introductory
(6)
Upper Level
(4)
Graduate
(0)
High School
(4)
Other
(0)
Lesson Length
(6)
Portion of one class period
(2)
One class period
(1)
Multiple class periods
(0)
One term (semester or quarter)
(0)
One year
(0)
Other
(3)
Technology
(6)
Derive
(0)
Excel
(0)
GeoGebra
(0)
Maple
(0)
Mathematica
(3)
MathCad
(0)
MatLab
(0)
Octave
(0)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(0)
Other
(3)
Approach
(6)
Directed
(0)
Flipped
(0)
Guided
(3)
Open-ended
(1)
Discussion
(0)
Develop model
(1)
Other
(3)
Skills
(6)
Data collection
(3)
Data analysis
(3)
Programming
(0)
Statistics
(0)
Other
(3)
Key Scientific Process Skills
(3)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(3)
Formulating hypotheses
(2)
Designing/conducting experiments
(2)
Predicting outcomes
(2)
Gathering data/making observations
(2)
Analyzing data
(2)
Interpreting results/data
(2)
Displaying/modeling results/data
(2)
Communicating results
(2)
Translating into mathematics
(0)
Assessment Type
(3)
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
(3)
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
(3)
Written assignment: Literature review
(0)
Pedagogical Approaches
(3)
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
(3)
Vision and Change Core Competencies - Ability
(3)
Create and develop models
(3)
Use quantitative reasoning
(3)
Design simulations
(0)
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
(3)
Motivates student to learn material
(3)
Focuses student on the material to be learned
(3)
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
(2)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(2)
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
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
251
views
189
downloads
0
comments
1-053-SlimeSpread-ModelingScenario
We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.
spreadsheets
slime
Potential Scenario
149
views
45
downloads
0
comments
1999-Leonid_Hanin-Which tank empties first
Suppose that water towers like those shown in the opening are initially filled with water and have the same volume, height, and cross-sectional outlet area. Which one empties first?
tank
Torricelli's Law
spherical tank
empty
frustrum of cone
cylinder
Potential Scenario
156
views
72
downloads
0
comments
2012-Lensyl-Urbano-The Draining of a Plastic Bottle-Integrating a Physics Experiment into Calculus
I punched a small hole (about 1mm radius) in a one gallon plastic bottle and had my students measure the rate at which water drained.
in-class activity
experiment
Torricelli's Law
cylinder of water
expderiment
Modeling Scenario
316
views
147
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
Potential Scenario
171
views
68
downloads
0
comments
1999-Richard_Single-Different quotients-derivatives-and data through modeling with slime
In this article, I present an experiment that can be conducted in a calculus class to investigate the difference quotient and the derivative, using mathematical modeling with student-collected data.
data analysis
slime
difference quotient
spread of slime
Results 1 - 6 of 6
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
Next
End