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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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[1]
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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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[0]
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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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[0]
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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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Counting Event Occurrences in ...
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Simulating Experiments (Probability & Statistics) |
TI-83/TI-84 |
Activity |
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[0]
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It is common in Monte Carlo statistical simulations to have the need to count the frequency of the occurrence of a particular event in a list of outcomes. Here is a really nice way to accomplish that ...
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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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[0]
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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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[0]
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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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Basketball Probability
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Simulating Experiments (Probability & Statistics) |
Computer |
Lesson Plan |
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This is an extended Logo investigation of probabilities and of modeling real-life situations: that of a 1 and 1 shooter in basketball, and the expected probabilities arising from past performance.
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Rolling a Pair of Dice
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Simulating Experiments (Probability & Statistics) |
Computer |
Lesson Plan |
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[0]
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In this lesson, students use Logo for a computer simulation for rolling dice to speed up the work such that they can "roll dice" more times, keeping track of the outcomes. It is not intended to be an ...
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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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[0]
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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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Plinko Probability
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Simulating Experiments (Probability & Statistics) |
Flash |
Tool |
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[1]
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Play Plinko and develop your knowledge of statistics. As the Plinko ball falls, it ricochets down a triangular grid of pegs. See the balls random walk through the lattice. Watch the histogram of final...
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Spinning Spinners
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Simulating Experiments (Probability & Statistics) |
Flash |
Tool |
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Select from seven different sets of spinners and set the desired number of spins. The two spinners selected can be spun up to 1 million times. The scores are counted and a bar graph displays the data.
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A Better Fire!
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Simulating Experiments (Probability & Statistics) |
Java Applet |
Tool |
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[3]
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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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[1]
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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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[0]
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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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[0]
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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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[1]
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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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