Interactive
Brown University

Brown University: Seeing Theory

For Students 9th - 10th Standards
This resource provides interactive visualizations of probability concepts. Covers basic probability, compound probability, probability distributions, frequentist inference, Bayesian inference, and regression analysis. The authors are...
eBook
Mathigon

Mathigon: Probability and Discrete Math: Predicting the Future

For Students 9th - 10th Standards
This lesson focuses on probability theory for predicting the outcome of flipping a coin, and then flipping it multiple times.
Activity
Texas Instruments

Texas Instruments: Getting Started With Probability Simulations App

For Teachers 6th - 8th Standards
Explore probability theory with interactive animation that simulates the rolling of dice, tossing of coins and generating random numbers. Evaluation options include bar graphs, table of trials data, settings for specifying the number of...
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Intro to the Concept of Probability

For Teachers 6th - 8th Standards
The Shodor Education Foundation provides this lesson plan to introduce students to the concepts of probability. Students learn about the definition of, outcomes in, and calculations of experimental probability. Students use an...
Handout
Richland Community College

Stats: Probability Rules

For Students 9th - 10th Standards
This site provides the rules for mutually exclusive events, non-mutually exclusive events, independent events, and dependent events for probability.
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: From Probability to Combinatorics and Number Theory

For Teachers 3rd - 8th Standards
Apply division to determine the probability of outcomes with a racing game.
Activity
Interactive Mathematics

Interactive Mathematics: Intoduction to Probability Theory

For Students 9th - 10th Standards
This tutorial defines experiment, sample space, and event. Several examples are presented to help distinguish between them.
Unit Plan
New York Times

New York Times: Steven Strogatz on the Elements of Math Series the New York Times

For Students 9th - 10th
[Free Registration/Login Required] On this site, Cornell University mathematics professor, Steven Strogatz, shares his 15-part series of columns on the elements of math. He investigates topics ranging from negative numbers to subtraction...
Activity
Texas Instruments

Texas Instruments: Probability Simulations App

For Teachers 9th - 10th Standards
This App allows students to explore probability theory with interactive animation that simulates rolling dice, tossing coins, and generating random numbers. They use evaluation options such as bar graphs and table of trials data....
Lesson Plan
EngageNY

Engage Ny: Lesson 19: Analyzing Decisions and Strategies Using Probability

For Teachers 10th - 12th Standards
In this lesson, students compare strategies by evaluating the associated probabilities of success. Additionally, problems are included where students are asked whether the result of a probability experiment provides sufficient evidence...
Lesson Plan
Interactive Mathematics

Interactive Mathematics: Probability and Statistics

For Teachers 9th - 10th Standards
Mini lessons are provided for learning concepts in the world of probability and statistics. Topics include counting and probability, permutations, combinations, independent and dependent events, and distributions. Links to online...
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Other

Schaum's Outlines: Probability and Statistics

For Students 10th - 12th Standards
This comprehensive study guide contains 897 fully solved probability and statistics problems with explanations. Topic covered includes basic probability, sampling theory, regression, and more.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S cp.a.2/a.3/a.5 and S cp.b.7: Rain & Lightning

For Teachers 9th - 10th
This task uses the same situation to explore different concepts of probability theory. Aligns with the S-CP.A.2.; S-CP.A.3; S-CP.A.5; and S-CP.B.7 standards.
Handout
University of St. Andrews (UK)

University of St. Andrews: John Venn

For Students 9th - 10th
Good introduction to Venn's life and work. Explains especially his lifelong relationship to Cambridge. Includes links to further information on Venn's "probability theory."
Handout
Stanford University

Stanford Encyclopedia of Philosophy: Pascal's Wager

For Students 9th - 10th
This site from the Stanford Encyclopedia of Philosophy discusses the philosophical and logic merits of Pascal's Wager, as well as the objections against it. Begins with a short historical and philosophical background to put the Wager in...
Unit Plan
TED Talks

Ted: Ted Ed: Peter Donnelly Shows How Stats Fool Juries

For Students 9th - 10th
Peter Donnelly discusses probability theory and statistics in real-world scenarios in this video. [21:25]
eBook
Mathigon

Mathigon: Combinatorics: World of Math

For Students 6th - 8th
This lesson focuses on Combinatorics, a branch of mathematics which is about counting. It includes 5 sections: Factorials, Permutations, Combinations, Combinatorics and Pascal's Triangle, and Combinatorics and Probability with examples...
Website
Wolfram Research

Wolfram Math World: World's Most Extensive Mathematics Resource

For Students 9th - 10th Standards
MathWorld provides a huge mathematics encyclopedia detailing the concepts of geometry, algebra, calculus, discrete math, number theory, and other math topics--complete with formulas, diagrams, examples, and references for thorough...
Activity
Interactive Mathematics

Interactive Mathematics: Independent and Dependent Events

For Students 9th - 10th Standards
This tutorial explains how to distinguish between independent and dependent events. Several examples are provided to find the probability of each type of event.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S cp.b.9: Alex, Mel, and Chelsea Play a Game

For Teachers 9th - 10th
Alex, Mel, and Chelsea play a game that has 6 rounds. In each round there is a single winner, and the outcomes of the rounds are independent. For each round the probability that Alex wins is $\frac{1}{2}$, and Mel is twice as likely to...
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: El Azar Y La Probabilidad.

For Students 9th - 10th Standards
In Spanish. This is an interactive activity which introduces the basic concepts of probability theory. This unit ends with a first look at the probability of compound events.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Filtering Suspects

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson introduces students to the concept of conditional probability (with a couple of references to Bayesian filtering). The lesson is framed in the context of a series of suspects who...
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Lost and Found

For Teachers 9th - 10th
Based off the hit television show NUMB3RS, this lesson introduces students to chaos theory, and specifically Levy flight paths. These allow students to "trace back" where an object may have originated, given its endpoint. This lesson is...
Handout
University of St. Andrews (UK)

University of St. Andrews: George Polya

For Students 9th - 10th
This University of St. Andrews site offers a biography of George Polya. Many links are provided.

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