EngageNY
Interpreting Expected Value
Investigate expected value as a long-run average. The eighth installment of a 21-part module has scholars rolling pairs of dice to determine the average sum. They find aggregate data by working in groups and interpret expected value as...
EngageNY
Games of Chance and Expected Value 1
There's a strong chance that class members enjoy learning math through engaging games. Scholars analyze games of chance to determine long-term behavior. They learn to calculate expected value to help with this assessment.
EngageNY
Expected Value of a Discrete Random Variable
Discover how to calculate the expected value of a random variable. In the seventh installment of a 21-part module, young mathematicians develop the formula for expected value. They connect this concept the dot product of vectors.
EngageNY
Games of Chance and Expected Value 2
Use expected values to analyze games of chance. The 15th installment of a 21-part module has young mathematicians looking at different games involving tickets and deciding which would be the best to play. They calculate expected payoffs...
EngageNY
Using Expected Values to Compare Strategies
Discover how mathematics can be useful in comparing strategies. Scholars develop probability distributions for situations and calculate expected value. They use their results to identify the best strategy for the situation.
Curated OER
Expected Value
Students discuss what expected value is, they are introduced to the concept of varyting payoffs. Students use a computer simulation of a "real world" example where expected value is used.
Project Maths
Introduction to Probability
Take a chance with an activity sure to improve your class's skills. An introductory lesson focuses on probability and chance. It shows how probability is always a value between zero and one, i.e., the probability of an event is always...
EngageNY
Analyzing Decisions and Strategies Using Probability 1
Learn how to increase the probability of success. The 19th installment of a 21-part module teaches future mathematicians how to use probability to analyze decisions. They determine strategies to maximize the chances of a desired outcome.
Curated OER
Expected Value
Students explore expected value, are introduced to the concept of varying payoffs, and have used a computer simulation of a "real world" example where expected value is used
Curated OER
Expected Outcome (Probability)
Young scholars 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...
Curated OER
Probability and Applications of Simulations
Middle schoolers apply properties of probability to the real world. In this probability lesson, learners simulate the construction of empirical distribution. They collect and analyze data using central tendencies.
University of Nottingham
Modeling Conditional Probabilities: 2
Bring the concept of conditional probability alive by allowing your classes to explore different probability scenarios. Many tasks have multiple solutions that encourage students to continue exploring their problems even after a solution...
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
Young scholars 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....
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...
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 instructional activity. They then extend this concept to...
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.
Curated OER
Probability and Expected Value
Students collect data and analyze it. In this statistics lesson, students make predictions using different outcomes of trials.
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 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 models,...
Curated OER
Observing M&M Colors: A Multinomial Experiment
Students 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
Fire!, Probability, and Chaos
Students explore the concept of probability. In this probability lesson, students simulate a controlled forest burn using an applet. Students vary the probability of trees burning and predict what will happen.
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...