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.
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...
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
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...
Assessment
Mathematics Assessment Project

Card Game

For Teachers 6th - 8th Standards
Middle schoolers use 10 cards to determine whether the probability that the next card chosen is higher or lower than the previous.
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
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...
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...
Assessment
Mathematics Assessment Project

Memory Game

For Teachers 6th - 8th Standards
Middle schoolers must determine probabilities for a memory game in which winning requires matching two of the same cards. They then must determine what happens when more cards are added to the pile.
Assessment
CCSS Math Activities

Rolling for the Big One

For Students 9th - 12th Standards
Knowing math helps you win games. Learners apply conditional probability concepts in an engaging performance task. After playing a game in which players roll a 10-sided polyhedron and then try to place the digits to get the highest...
Assessment
1
1
Balanced Assessment

MasterMind

For Students 9th - 12th Standards
Knowledge of statistics and probability can increase your advantage when playing games. The activity asks learners to analyze the game of MasterMind to determine the number of possible codes. They also examine different variations of the...
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...
Lesson Plan
EngageNY

Comparing Estimated Probabilities to Probabilities Predicted by a Model

For Teachers 7th Standards
Small groups devise a plan to find the bag that contains the larger percentage of blue chips. they then institute their plans and compare results to the actual quantities in the bags. 
Activity
1
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Curated OER

Alex, Mel, and Chelsea Play a Game

For Teachers 9th - 12th Standards
This short probability question may look simple at first, but it is actually quite complex! Learners must understand independent events in context and must take into account several different scenarios. Use as an individual assignment...
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...
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
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...
Lesson Plan
Curated OER

Tetrahedral Dice

For Teachers 6th - 9th Standards
Put those thinking hats on and look at all the possible outcomes from rolling two different four-sided dice. The challenge in this problem is finding all the combinations when adding and subtracting the numbers from each die and creating...
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
EngageNY

Mid-Module Assessment Task: Pre-Calculus Module 5

For Teachers 11th - 12th Standards
Determine if any reteaching with a mid-module assessment task. The assessment covers the general multiplication rule, permutations and combinations, and probability distributions for discrete random variables.
Assessment
Mathematics Assessment Project

Spinner Bingo

For Students 6th - 8th Standards
Learners are in it to win it for a fun math activity! After comparing Bingo boards to figure out which one is most likely to win, individuals then determine the numbers to choose in order to create a board with the best...
Assessment
Mathematics Assessment Project

Lottery

For Students 6th - 8th Standards
A probability activity presents a lottery game as an idea for a fundraiser. Pupils analyze the game to determine the number of possible outcomes, then determine whether the game would be a good way to raise funds and to support...
Assessment
Bowland

Spinner Bingo

For Teachers 6th - 8th Standards
Create a winning card. Given a description of a bingo game using two spinners, pupils determine which of three cards has the greatest chance of winning. Scholars then determine which are the best numbers to put on their own cards to give...
Assessment
1
1
Balanced Assessment

Batting Orders

For Students 9th - 12th Standards
A baseball coach has more than 700 billion decisions to make before a game even starts, and in this resource individuals calculate the number of ways a coach can make a batting lineup. The first question places nine players out of nine....

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