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Resource Name |
Topic (Course) |
Technology |
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Central Limit Theorem Activity
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Activity |
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This activity represents a very general demonstration of the effects of the Central Limit Theorem (CLT). The activity is based on the SOCR Sampling Distribution CLT Experiment and provides the capabil...
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Random Number Generation
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Activity |
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This activity describes the need, the general methods and the SOCR utilities for random number generation and simulation. SOCR Modeler allows interactive sampling from any SOCR Distribution. The simu...
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Mathematica and the Birthday P...
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Simulating Experiments (Probability & Statistics) |
Mathematica |
Activity |
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[1]
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This explains how to use Mathematica to do Monte Carlo simulations of the Birthday Probability problem. (If there are N people in a room, what is the probability that two of them share a birthday?)
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Exploring the Birthday Paradox...
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Simulating Experiments (Probability & Statistics) |
TI Calculator |
Activity |
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This lesson plan presents an activity which demonstrates the birthday paradox, using it as a springboard into a unit on probability. Explanation on the difficulty with probability; Use of the TI-83 gr...
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Exploring Mathematics with the...
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Simulating Experiments (Probability & Statistics) |
TI-83/TI-84 |
Activity |
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This book includes activities that ask students to predict the results of the planned simulation. Students will carry out numerous trials of the simulation using the Probability Simulation Applicat...
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How Random!
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Simulating Experiments (Probability & Statistics) |
TI-Nspire |
Activity |
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In this activity, students use simulations and graphs to explore the common-sense notion that repeatedly flipping a coin results in “heads up” about half of the time. First, students simulate an...
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What's Normal, Anyway?
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Simulating Experiments (Probability & Statistics) |
TI-Nspire |
Activity |
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[0]
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In this activity, students explore the normal distribution and several of its most interesting properties. First, they use a histogram of data from a binomial experiment to examine the general shape o...
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Biased Rectangles?
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Simulating Experiments (Probability & Statistics) |
Fathom |
Lesson Plan |
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[1]
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Students explore one example of how bias affects the mean. This simulation increases students' understanding of the significance of sample size on the calculation of the mean.
Exploring t...
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Conditional Probability and Pr...
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Lesson Plan |
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[0]
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Introduces conditional probability and the probability of simultaneous events.
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Replacement and Probability
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Lesson Plan |
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[1]
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Extends the notion of conditional probability by discussing the effects of replacement on drawing multiple objects.
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Equally Likely (Fair) Choice D...
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Simulating Experiments (Probability & Statistics) |
Calculator |
Support Material |
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The proper meaning of the term "fair."
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Galton's Quincunx
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Simulating Experiments (Probability & Statistics) |
Flash |
Tool |
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Francis Galton was a pioneer in the study of heredity and statistics. His quincunx (a pattern of five dots, as on dice) is modeled in this Flash activity.
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A Better Fire!
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Tool |
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[2]
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See the chaos theory played out in forest fire simulations.
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Ball and Urn Experiment
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Tool |
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[1]
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Simulates drawing balls from an urn, with or without replacement. Specify number of balls, number of red balls, and number drawn. Requires a MathPlayer plugin (free).
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Ball-Mixing Activity: 4 Balls ...
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Tool |
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We have 4 balls--2 reds and 2 greens. We drop them randomly into 2 boxes.
Are the colors mixed or separate? Use this applet to experiment.
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Banach Match Box Problem
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Tool |
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Two boxes have the same number of matches. A coin is tossed to determine which box a match is taken from. Coin toss repeats until the chosen box is empty; the number of matches remaining in the othe...
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Bertrand's Experiment
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Tool |
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[0]
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Demonstration of the probability that a chord of a circle falls within an inscribed equilateral triangle. Three ways of "randomizing" the chord result in different probability distributions. Require...
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Binomial Coin Experiment
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Tool |
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Simulates tosses of from 1 to 60 coins with user-chosen probability of heads; compiles both number and proportion of heads, with theoretical and empirical distributions. Requires a MathPlayer plugin ...
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Birthday Experiment
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Tool |
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This simulator extends the classic birthday problem: user sets the number of days in a year and the number of people in a room. Birthdays are assigned at random, and the user may examine either disti...
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Box Model
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Tool |
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Using this virtual manipulative you may: add data points to the draw box; simulate random draws from a box; compare actual draws with probability
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Buffon's Coin Experiment
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Tool |
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Simulates the probability of a coin, dropped at random on a checkerboard, landing fully within a square. Radius of coin can be adjusted. Requires a (free) MathPlayer plugin.
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Buffon's Needle Experiment
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Tool |
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A fairly sophisticated version of the needle dropped on a wooden floor problem. Detailed analysis of theoretical probability, lots of control on parameters. Requires a MathPlayer plugin (free downlo...
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Chocolate Chip Simulation
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Tool |
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[1]
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Simulate random placement of any number of chocolate chips on 100 cookies.
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Coin Toss
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Tool |
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[1]
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Simulation of a coin toss allowing the user to input the number of flips, thereby exploring experimental and theoretical probabilities. Toss results can be viewed as a list of individual outcomes, rat...
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Coin Toss
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Tool |
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[3]
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Explore probability concepts by simulating repeated coin tosses.
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