Shodor Education Foundation
Playing with Probability
Review basic probability concepts with your class using different-colored marbles in a bag. Then pair up learners and have them play a cool online interactive game in which they race miniature cars using the roll of a die or two. The...
Curated OER
Ideas that Lead to Probability
Students explore the concept of probability. In this probability lesson, students use random number generators to determine probabilities of events. Students discuss if certain probable events are fair. Students determine fair ways to...
Curated OER
Expected Outcome (Probability)
Students practice and determine expected values of experiments as well as distributions of experiments. They find the area of rectangles and circles and determine elementary probabilities. Probability exercises begin with quarters and...
Curated OER
Expected Outcome
Students determine expected values of experiments and explore distributions of experiments. They guess as to how many times a coin will flip heads in fifty tries. They flip a coin fifty times graphing the results on a histogram. They...
EngageNY
Analyzing Decisions and Strategies Using Probability 2
Explore how to compare and analyze different strategies. In the 20th installment of a 21-part module, scholars continue their analysis of decisions and strategies from the previous lesson. They then extend this concept to hypothesis...
Curated OER
Continuous Probability Distributions
In this continuous probability distribution activity, students identify discrete and continuous distributions. They calculate the linear combination of the independent normal random variable and determine probabilities using exponential...
Curated OER
Calculating Theoretical & Experimental Probability
Students collect data by conducting a survey of fellow classmates. They investigate the relationship between estimates obtained from samples and theoretical probabilities. Answer keys included.
101 Questions
Money Duck
A video presentation shows duck-shaped soap that has a $1, $5, $10, $20, or $50 bill in its center. Learners consider different population distribution of the bills to determine a reasonable price for the duck.
Curated OER
Unexpected Answers
Students explore the concept of fairness. In this fairness lesson, students play four probability games. Students determine who has the best chance of winning each of the four games. Students discuss which games gave an unfair advantage.
Google
The Law of Large Numbers and Probability
Learners investigate why theoretical probability doesn't always match reality. The activity involves using Python 2.7 (or Sage) to set up a Bernoulli Trial. It also involves setting up a spreadsheet to simulate the Birthday Paradox....
Shodor Education Foundation
From Probability to Combinatorics and Number Theory
What middle schooler does not enjoy an occasional online game? In this lesson plan play, you will find embedded links to an online probability game, and informative pages about how division is used in probability, the concept of tree...
Curated OER
Observing M&M Colors: A Multinomial Experiment
Learners use hands-on activities to study statistics. They review the chi-square distribution and expected value. Activities involve discovering calculation a hypothesis, frequency distribution, and probability.
Curated OER
Probability and Sports
Students explore the concept of probability in sports. In this probability in sports lesson, students research a sport that they enjoy. Students find probability information related to their sport. Students share their findings with the...
Curated OER
Fire!, Probability, and Chaos
Learners explore the concept of probability. In this probability lesson, students simulate a controlled forest burn using an applet. Learners vary the probability of trees burning and predict what will happen.
College Board
2015 AP® Statistics Free-Response Questions
Statistics is all about making inferences. Can you infer how your pupils will fair on their AP® exams? Collect your own data by giving them practice tests such as the 2015 free-response exam. The six-question test includes topics such as...
Shodor Education Foundation
Introduction to the Concept of Probability
Acquaint mathematicians to the concept of probability with a discussion about the results of a game. Then have them play a dice, card, spinner, or coin game and recording the number of wins vs. the number of tries on an interactive web...
Shodor Education Foundation
Replacement and Probability
Middle and high schoolers explore the concept of probability. In this probability lesson, learners conduct an experiment with a bag of marbles. Pupils draw marbles from a bag and determine the probability of drawing a particular color...
Illustrative Mathematics
Rolling Dice
Rolling dice is a great way for your mathematicians to get a hands-on approach to probabilities. Use the chart to record whether they rolled a six during ten attempts. Calculate results individually (or in small groups) and then record...
Curated OER
Gems in the Market Today
A gem of a lesson! Analyze what makes stones valuable and their aesthetic value. Young gemologists use the Internet to choose what stone they are interested in and then write an advertisement.
Curated OER
Math Applications
In this math applications worksheet, students solve one word problem that has two parts to it. First, they determine the expected value of a ticket for a prize. Then, student determine the fair price for the ticket purchased and explain...
Curated OER
Fred's Fun Factory
Round and round and round she goes. Where she stops, nobody knows. This activity uses a common arcade game of chance, the spinning wheel, as a platform for computing expected values, interpreting results, and applying this knowledge to...
Illustrative Mathematics
Sounds Really Good! (Sort Of...)
Winning a lottery game with 60% odds sounds like a no brainer. This is when the math kicks in to show players that in the long run, they lose money the more often they play. Here is one simple question that opens the doors to a nice...
Curated OER
Bob's Bagel Shop
How much money can Bob expect to make per customer by selling bagels? This short expected value problem can be used as a warm up or a quick assessment at the end of a more detailed lesson. Teacher commentary includes the solution to the...
Curated OER
Sounds Really Good! (sort of...)
Your friend Phil wants to know if he should play the lottery. Have your class use the given data to compute the expected value and explain to Phil what he should do and why. This handout is ideal for a quick assessment of skill and...