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
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...
National Council of Teachers of Mathematics
The Game of SKUNK
Do I stand or do I sit? The class plays a dice game where they must decide to either continue to stand and play or sit down and keep their points. After the game, groups discuss individuals' strategies and see connections to the...
Illustrative Mathematics
Return to Fred's Fun Factory (with 50 Cents)
The penny arcade gets the statistics treatment in this fun probability investigation. A non-standard game of chance is described and then the class is set loose to find missing probabilities, determine common outcomes, and evaluate...
Curated OER
Chances Are
Upper graders examine the concept of probability. They collect data and create a bar graph. They must interpret the data as well. Everyone engages in hands-on games and activities which lead them to predict possible outcomes for a...
Curated OER
Mathematics of Fair Games
Learners examine mathematicians' notion of fairness in games of chance. They work in pairs to perform three different experiments using macaroni and paper bags. They record their results on charts and compare their data.
EngageNY
Chance Experiments
Class members are introduced to probability using terms such as impossible, unlikely, likely, and certain. Numbers between zero and one are associated with the descriptions of probability. Pupils find the likelihood of chance experiments...
EngageNY
Calculating Probabilities of Compound Events
Use tree diagrams with multiple branches to calculate the probabilities of compound events. Pupils use tree diagrams to find the sample space for probability problems and use them to determine the probability of compound events in the...
Statistics Education Web
Odd or Even? The Addition and Complement Principles of Probability
Odd or even—fifty-fifty chance? Pupils first conduct an experiment rolling a pair of dice to generate data in a probability lesson. It goes on to introduce mutually exclusive and non-mutually exclusive events, and how to use the Addition...
Curated OER
The Game of Chance
Third graders use manipulatives to determine the probability of outcomes. In this probability lesson, 3rd graders roll dice and use spinners to determine the probability of outcomes. They determine if games are fair/unfair based on their...
EngageNY
Chance Experiments, Sample Spaces, and Events
Want a leg up on the competition? Show classes how to use mathematics to their advantage when playing games. Learners calculate probabilities to determine a reasonable scoring strategy for a game.
EngageNY
Estimating Probabilities by Collecting Data
Take a spin to determine experimental probability. Small groups spin a spinner and keep track of the sums of the spins and calculate the resulting probabilities. Pupils use simulated frequencies to practice finding other probabilities to...
Curated OER
Unexpected Answers
High schoolers explore the concept of fairness. In this fairness lesson, students play four probability games. High schoolers determine who has the best chance of winning each of the four games. Students discuss which games gave an...
Shodor Education Foundation
From Probability to Combinatorics and Number Theory
What middle schooler does not enjoy an occasional online game? In this instructional activity play, you will find embedded links to an online probability game, and informative pages about how division is used in probability, the concept...
Curated OER
Probability: The Study of Chance
Students conduct an experiment, determine if a game is fair, and collect data. They interpret data, then display line graph. They conduct analysis of game for probability.
American Statistical Association
What is the Probability of “Pigging Out”
Learners apply their understanding of luck to a probability experiment. They play a game of Pass the Pigs to determine the probability of a specific outcome. Using analysis for their data, pupils declare the measures of center, dot...
EngageNY
The Difference Between Theoretical Probabilities and Estimated Probabilities
Flip a coin to determine whether the probability of heads is one-half. Pupils use simulated data to find the experimental probability of flipping a coin. Participants compare the long run relative frequency with the known theoretical...
EngageNY
Fair Games
What constitutes a fair game? Scholars learn about fair games and analyze some to see if they are fair. They extend this idea to warranties and other contexts.
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
What are the Chances: A Game of Chance!
Sixth graders experiment with dice, playing cards, pennies and computer-generated simulations to calculate probability. They use compiled data to make predictions.
Curated OER
Probability
Second graders experiment with probability. In this probability lesson, 2nd graders pick colored beans from a bag to find the chance of getting different colors. They make fair and unfair spinners and record the data after spinning them.
Curated OER
Probabilities for Number Cubes
Middle schoolers explore the concept of probability. In this probability lesson, students roll a six-sided number cube and record the frequency of each outcome. Middle schoolers graph their data using a frequency chart and keep tally...
Curated OER
Probability Fun
First graders use probability terminology to describe all possible outcomes of certain events. In this probability lesson, 1st graders use counters to create a pretend "purse" of objects. Students create their own probability drawings...
Curated OER
Probability - What Are the Odds?
Students study the concept of probability. In this probability lesson, students define probability and visit an interactive spinner website to learn about theoretical and experimental probability. Students use pennies and work in pairs...