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Galton Board Experiment
Unrestricted Use
CC BY
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This resource consists of a Java applet and descriptive text. The applet illustrates Bernoulli trials in terms of a Galton Board. The number of trials and the probability of success can be varied. The random variables of interest are the number of successes and the probability of a success. The applet illustrates the binomial distribution, the law of large numbers and the central limit theorem.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Galton Board Game
Unrestricted Use
CC BY
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This resource consists of a Java applet and expository text. The applet illustrates the Galton board in which a ball falls through a triangular array of pegs. Various combinatorial ideas are illustrated, including combinations, bit strings, and binomial coefficients.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Gamma Estimate Experiment
Unrestricted Use
CC BY
Rating
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This resource consists of a Java applet and expository text. The applet simulates a random sample from a gamma distribution, and computes standard point estimates of the shape and scale parameters. The bias and mean square error are also computed.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Gamma Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet simulates the time of the k'th arrival in a Poisson process. The arrival number k and the rate of the Poisson process can be varied. The applet illustrates the gamma distribution and a special case of the central limit theorem.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/01/2006
High-Low Card Scenario Task
Conditional Remix & Share Permitted
CC BY-NC
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In this performance task, students consider two scenarios in a card game and conduct an experiment to analyze and compare experimental to theoretical probabilities with different game rules. In doing so, students will calculate probabilities to explore the effect of independent vs. dependent events on the outcomes in the card game.

Key concepts include:
a) conditional probability;
b) dependent and independent events;
c) mutually exclusive events;
d) counting techniques (permutations and combinations); and
e) Law of Large Numbers.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Date Added:
01/08/2020
Interactive Histogram
Unrestricted Use
CC BY
Rating
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This resource consists of a Java applet and expository text. The applet allows the user to construct a histogram by clicking on a number line to generate the sample data. The class width can be varied and various summary statistics can be displayed.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/20/2006
Interactive Scatterplot
Unrestricted Use
CC BY
Rating
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This resource consists of a Java applet and expository text. The applet allows the user to construct a scatterplot by clicking on a graph to generate the bivariate data. The means, standard deviations, correlation, and the regression line are shown.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Introduction to Quantum Mechanics
Read the Fine Print
Educational Use
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The microscopic world is full of phenomena very different from what we see in everyday life. Some of those phenomena can only be explained using quantum mechanics. This activity introduces basic quantum mechanics concepts about electrons that are essential to understanding modern and future technology, especially nanotechnology. Start by exploring probability distribution, then discover the behavior of electrons with a series of simulations.

Subject:
Science
Material Type:
Data Set
Interactive
Lecture Notes
Provider:
Concord Consortium
Provider Set:
Concord Consortium Collection
Author:
The Concord Consortium
Date Added:
12/12/2011
Make a Monster Genetics Lab
Unrestricted Use
CC BY
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Biology students often struggle to understand how it can be that the same two parents will produce genetically different offspring. This lab exercise is a very visual way to demonstrate the "making of a monster" one gene at a time. The resources include a full sheet of vocabulary and instructions, plus a data table to record the crosses. For advanced students, you can take the activity further with a sheet of follow up questions.

Subject:
Living Systems and Processes
Science
Material Type:
Activity/Lab
Lesson
Date Added:
01/02/2020
Matching Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet is a simulation of the matching experiment, which consists of a random permutation of the first n positive integers. The random variable of interest is the number of matches (the number of integers in the random permutation that are in their correct positions). The applet illustrates the distribution of the number of matches and the convergence to the Poisson distribution.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Monty Hall Experiment
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet is a simulation of the Monty Hall experiment: a car is behind one door, goats are behind the other two doors. The player chooses a door and then the host opens another door. The player is given the option of switching to the remaining door. The stochastic behavior of the host and the probability of the player switching can be specified.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
01/18/2006
Monty Hall Game
Unrestricted Use
CC BY
Rating
0.0 stars

This resource consists of a Java applet and expository text. The applet consists of the Monty Hall game: a car is behind one door and goats are behind the other two doors. The player makes an initial choice and the host opens a different door. The player is then given the option of switching to the remaining door. The stochastic behavior of the host can be specified.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
NASA eClips Real World:  Citizen Science
Unrestricted Use
Public Domain
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Video Description:  What are citizen scientists? Why is their work so important to NASA? Join Dr. Michelle Thaller as she explains how the general public, using scientific protocols, careful observations and accurate measurements, can help NASA make exciting new discoveries. Find out how you can be a citizen scientist today.  Video Length:  4:26.NASA eClipsTM is a suite of online student-centered, standards-based resources that support instruction by increasing STEM literacy in formal and nonformal settings.  These free digital and downloadable resources inform and engage students through NASA-inspired, real-world connections.NASA eClips Real World segments (grades 6-8) connect classroom mathematics to 21st Century careers and innovations.  They are designed for students to develop an appreciation for mathematics through real-world problem solving.

Subject:
STEM/STEAM
Science
Scientific and Engineering Practices
Material Type:
Visual Media
Author:
Betsy McAllister
Date Added:
03/23/2022
NASA eClips Real World:  The Carbon Cycle - Essential for Life on Earth
Unrestricted Use
Public Domain
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 NASA eClips Real World:  The Carbon Cycle - Essential for Life on EarthVideo Description:  Carbon is an essential building block for life. Learning how carbon is converted through slow- and fast-moving cycles helps us understand how this life-sustaining element moves through the environment. Discover how NASA measures carbon through both field work and satellite imagery keeping watch through its eyes on the sky, on Earth, and in space.  This video won and Emmy Award in 2020.  Video Length:  5:43.NASA eClipsTM is a suite of online student-centered, standards-based resources that support instruction by increasing STEM literacy in formal and nonformal settings.  These free digital and downloadable resources inform and engage students through NASA-inspired, real-world connections.NASA eClips Real World segments (grades 6-8) connect classroom mathematics to 21st Century careers and innovations.  They are designed for students to develop an appreciation for mathematics through real-world problem solving.  

Subject:
Algorithms and Programming
Data and Analysis
Living Systems and Processes
STEM/STEAM
Science
Material Type:
Visual Media
Author:
Betsy McAllister
Date Added:
01/21/2022