EngageNY
Conducting a Simulation to Estimate the Probability of an Event II
Add some randomization into simulations. The 11th installment in a series of 25 presents two new methods to use in simulations--colored disks, and random numbers. Pupils use random numbers to run simulations where the probabilities make...
EngageNY
Chance Experiments with Outcomes That Are Not Equally Likely
The fifth portion of the 25-part series introduces probabilities calculated from outcomes that are not equally likely. Class members use tables to calculate probabilities of events, add outcome's probabilities, and find complements....
EngageNY
Chance Experiments with Equally Likely Outcomes
Take a deeper dive into equally likely probabilities. Pupils build upon their understanding of probability by determining sample spaces and outcomes. Individuals work with sample spaces and determine outcomes that are equally likely....
EngageNY
Comparing Estimated Probabilities to Probabilities Predicted by a Model
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.
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
Mid-Module Assessment Task: Grade 7 Mathematics Module 5
Determine the probability that the class knows probability. The three-question assessment presents problems with finding the sample space and the probability, theoretical and experimental, of a variety of situations. Pupils also describe...
EngageNY
Conducting a Simulation to Estimate the Probability of an Event
How can you complete a simulation when it is not practical to determine the probability of an event? Class members learn that in some situations, it is not feasible to find the probability of an event, but they can estimate it by running...
EngageNY
Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
Calculate theoretical probabilities and compare them to experimental probabilities. Pupils build on their knowledge of experimental probabilities to determine theoretical probabilities. Participants work several problems with the...
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...
Mathed Up!
Probability
How likely is it to draw a blue marble? Pupils find the likelihood of events and connect that to the probability of the event. They find the probabilities of simple events and show their probabilities on a scale.
Intel
Fair Games
Who said things were fair? The unit introduces probability and its connection to fairness. The class interacts with activities of chance and plays games to relate them to fairness. Groups design a fair game and develop a presentation....
EngageNY
Mid-Module Assessment Task: Pre-Calculus Module 5
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.
EngageNY
Estimating Probability Distributions Empirically 2
Develop probability distributions from simulations. Young mathematicians use simulations to collect data. They use the data to draw graphs of probability distributions for the random variable in question.
EngageNY
Estimating Probability Distributions Empirically 1
What if you don't have theoretical probabilities with which to create probability distributions? The 11th installment of a 21-part module has scholars collecting data through a survey. The results of the survey provide empirical data to...
Inside Mathematics
Marble Game
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.
Noyce Foundation
Counters
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...
Bowland
Explorers – Patrol Services
Far out — plan a trip to space! Aspiring mathematicians steer a space vehicle through an asteroid field, calculate currency exchanges to buy provisions, and determine placement of charges to blow up asteroids. Along the way, they learn...
Bowland
Crash Test
Use mathematics and simulations to investigate car crashes. IScholars test hypotheses involving car crashes. They collect, analyze, and display data from computer simulations to support or refute their hypotheses.
EngageNY
Differences Due to Random Assignment Alone
It takes a lot of planning to achieve a random result! Learners compare results of random assignment, and conclude that random assignment allows results to be attributed to chance. They also realize the set of random means are clustered...
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
Drawing a Conclusion from an Experiment (part 1)
Challenge your classes to complete an experiment from beginning to end. Learners make their own hypotheses, collect and analyze their own data, and make their own conclusions. They are on their way to becoming statisticians!
EngageNY
Ruling Out Chance (part 1)
What are the chances? Teach your classes to answer this question using mathematics. The first part of a three-day lesson on determining significance differences in experimental data prompts learners to analyze the data by determining the...
Mathematics Assessment Project
Card Game
Middle schoolers use 10 cards to determine whether the probability that the next card chosen is higher or lower than the previous.
Utah Education Network (UEN)
Probability and Statistics
MAD about statistics? In the seventh chapter of an eight-part seventh-grade workbook series, learners develop probability models and use statistics to draw inferences. In addition, learners play games and conduct experiments to determine...