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From Probability to Combinatorics and Number Theory

For Teachers 6th - 8th
Students see how division is used to help solve probability problems. They use tables as data structures where they are used to count outcomes and to compute probabilities. Students use games to help solve probability problems.
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Replacement and Probability

For Teachers 3rd - 9th
Students explore sampling with and without replacement. They explore the effects on the probability of drawing a desired object. Students examine probability and the difference between sampling with and without replacement.
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Expected Value

For Teachers 9th - 12th
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.
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Probability and Sports

For Teachers 6th - 8th
Students research topics on the internet where probability is relevant. Students study statistics and probability concepts by looking at practical questions that arise in professional sports.
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Handling Data: Coin Tossing Simulation

For Teachers 6th - 8th
Students collect experimental data and record it on a frequency table. After accessing an Internet coin toss simulation site they discover that repetition of an experiment may result in different outcomes. They identify the mutually...
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Handling Data: Probability, Chase Me game

For Teachers 6th - 9th
Students participate in a simulation in which the aim is for the tortoise to catch up with the hare or vice versa. Moves are decided by throwing two dice. Adding together the numbers on the two dice tells you which animal moves one...
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Investigating the Probability

For Teachers 4th - 6th
Learners investigate probability using coins and dice. They collect data, graph, organize and interpret data. They predict, describe, compare, compute and draw conclusions based on what they observe and record.
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What's the Chance?

For Teachers 8th - 11th
Students conduct probability experiments with dice and coins. They watch a video for a variety of situations where calculating the probability is complicated by total number of possibilities. They solve problems presented in the video.
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Probability: How Likely Am I to...?

For Teachers 12th
Twelfth graders examine various ways probability is applied to daily situations. They use marbles and blocks to calculate the probabilities of picking certain colors. They also calculate the odds of picking a winning raffle ticket.
Unit Plan
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What's Math Got To Do With It?

For Teachers 5th
Students explore numbers, computation, ratios, proportions, probabilities, statistics, and money in this six lessons unit. Practical applications in the real world are emphasized through an interactive approach to math in these lessons.
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M & M Candy: I Want Green

For Teachers 8th
Eighth graders use colored candy pieces (such as M & M's) to compare mathematical expectations and experimental probability. They pick pieces of candy randomly, and graph their results. This classic lesson never fails to engage...
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What's the Chance?

For Teachers 2nd - 4th
Students study probability and statistics by conducting an experiment, recording their results, and sharing data with classmates.
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Traffic Light Probability

For Teachers 4th - 8th
Students discuss the possible traffic signals that may be observed on the way to a field trip. They record data on the trip, and analyze the probability of the results occurring again.
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Probability Kisses

For Teachers 2nd - 4th
Students explore the concept of probability by picking from a bag of multicolored Hershey kisses. They determine if they are less, more, or equally likely to pick a certain color based on the numbers of each colored Hershey kiss.
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What are the Chances: A Game of Chance!

For Teachers 6th
Sixth graders experiment with dice, playing cards, pennies and computer-generated simulations to calculate probability. They use compiled data to make predictions.
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Probability: The Study of Chance

For Teachers 5th - 12th
Students practice the basic principles of probability by conducting an experiment, determining if a game is fair, collecting data, interpreting data, displaying data, conducting analysis, and stating and applying the rule for probability.
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Probability With a Random Drawing

For Teachers 2nd - 4th
Students define probability, and predict, record, and discuss outcomes from a random drawing, then identify most likely and least likely outcomes. They conduct a random drawing, record the data on a data chart, analyze the data, and...
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Probability with Number Cubes

For Teachers 2nd
Second graders make sampling predictions, predict outcomes and explore probability through experimentation.
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Probability

For Teachers 3rd
Third graders conduct experiment, collect data, predict, record, and discuss outcomes, and analyze data for probability.
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50:50 Chances

For Teachers 3rd
Third graders reinforce the probability of gender by uising a coin toss, as they continue to search for the answers to genetics questions by using mathematical expectations of probability.
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Do You Feel Lucky?

For Teachers 6th - 12th
Students calculate simple probabilities using mathematics then roll dice to test their predictions.
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The Old Lady and Probability

For Teachers 1st
First graders practice probability by playing various games associated with song There Was an Old Lady.
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Spinner Experiment

For Teachers 4th - 6th
Students collect and analyze data, then draw conclusions from the data and apply basic concepts of probability.
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Badminton or Basketball?

For Teachers 6th - 8th
Pupils explain why for a group of n people, there are an equal number of possibilities for subgroups of size k (such that k < n) and size n - k.