Lesson Plan
EngageNY

Games of Chance and Expected Value 1

For Teachers 11th - 12th Standards
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.
Lesson Plan
EngageNY

Games of Chance and Expected Value 2

For Teachers 11th - 12th Standards
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...
Lesson Plan
1
1
Illustrative Mathematics

Return to Fred's Fun Factory (with 50 Cents)

For Teachers 7th - 10th Standards
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...
Interactive
CK-12 Foundation

Expected Value: Game of Chance

For Students 11th - 12th Standards
Determine whether the payoff is worth it. Pupils calculate the expected value of a game with three different payoff levels. Each level has a different probability of winning money. The scholars find the expected payoffs for each...
Interactive
CK-12 Foundation

Conditional Probability: Game Show with Monty

For Students 9th - 12th Standards
The car is behind door one — no wait, it is behind door three. An interactive allows learners to visualize the Monty Hall problem. Pupils work through the probabilities of choosing the car with their first pick. Next, they determine...
Lesson Plan
EngageNY

Chance Experiments

For Teachers 7th Standards
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...
Interactive
Shodor Education Foundation

Crazy Choices Game

For Students 7th - 12th Standards
Wanna take a chance on which game is best? The resource provides three games of chance using multiple types of games. Games range from coin toss to cards. Choosing a type of game, pupils determine what wins and enter the theoretical...
Unit Plan
National Security Agency

It's Probably Probable

For Teachers 6th - 8th Standards
Learners make predictions and draw conclusions from given information as they learn the meaning of probability in this vocabulary-rich, integrated activity that presents a variety of teaching strategies to motivate and reach...
Unit Plan
1
1
Mathematics Vision Project

Probability

For Teachers 10th - 12th Standards
Probability, especially conditional probability, can be a slippery concept for young statisticians.  Statements that seem self-evident on the surface often require a daunting amount of calculations to explicate, or turn out to be...
Assessment
Inside Mathematics

Marble Game

For Teachers 9th - 12th Standards
Pupils determine the theoretical probability of winning a game of marbles. Individuals compare the theoretical probability to experimental probability for the same game. They continue on to compare two different probability games.
Assessment
Noyce Foundation

Fair Game?

For Teachers 6th - 7th Standards
The game should be fair at all costs. The mini-assessment revolves around the ability to use probabilities to determine whether a game is fair. Individuals determine compound events to calculate simple probabilities and make...
Lesson Plan
EngageNY

Estimating Probabilities by Collecting Data

For Teachers 7th Standards
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...
Assessment
Illustrative Mathematics

Sounds Really Good! (Sort Of...)

For Students 10th - 12th Standards
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...
Lesson Plan
EngageNY

Analyzing Decisions and Strategies Using Probability 1

For Teachers 11th - 12th Standards
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.
Lesson Plan
EngageNY

Calculating Probabilities of Compound Events

For Teachers 7th Standards
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...
Worksheet
Curated OER

Probability Crossword

For Teachers 4th - 8th
Make probability fun and test your learners' knowledge of math probability vocabulary. Print out this crossword puzzle and see if they know enough about outcomes and experiments to fill in the blanks. The answer key is attached in...
Lesson Plan
EngageNY

Chance Experiments, Sample Spaces, and Events

For Students 10th - 12th Standards
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. 
Lesson Plan
EngageNY

Fair Games

For Teachers 11th - 12th Standards
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.
Lesson Plan
EngageNY

The Difference Between Theoretical Probabilities and Estimated Probabilities

For Teachers 7th Standards
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...
Assessment
EngageNY

End-of-Module Assessment Task - Precalculus (Module 5)

For Students 11th - 12th Standards
Give your young scholars a chance to show what they've learned from the module. The last installment of a 21-part series is an end-of-module assessment task. It covers basic and conditional probabilities, expected value, and...
Assessment
Noyce Foundation

Counters

For Teachers 6th - 7th Standards
For some, probability is a losing proposition. The assessment item requires an understanding of fraction operations, probability, and fair games. Pupils determine the fractional portions of an event. They continue to determine whether...
Assessment
Illustrative Mathematics

Fred's Fun Factory

For Students 9th - 12th Standards
Spin to win! Individuals calculate the average number of tickets expected based on a probability distribution for the number of tickets per spin. Pupils use that information to determine the average number of tickets that can be won...
Assessment
Inside Mathematics

Winning Spinners

For Teachers 9th - 12th Standards
Winning a spin game is random chance, right? Pupils create a table to determine the sample space of spinning two spinners. Individuals determine the probability of winning a game and then modify the spinners to increase the probability...
Assessment
1
1
Balanced Assessment

Lotto

For Students 9th - 12th Standards
You can't win if you don't play! Find out how to increase your chances of winning the lottery. Scholars analyze a state lottery system for the probability of winning. They also consider different combinations of numbers and how they...