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The Apple Blossom Problem
In this apple blossom problem, students examine a given situation in a board game. They determine the best way to win the game and the expected payoff. This one-page worksheet contains 1 problem.
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
Expected Value of a Discrete Random Variable
Discover how to calculate the expected value of a random variable. In the seventh installment of a 21-part module, young mathematicians develop the formula for expected value. They connect this concept the dot product of vectors.
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Acting Like a Hog
Students explore game theory. In this secondary mathematics lesson, students plat the game of HOG using dice and explore the optimal strategies. Students play the game three ways: any number of dice, a fixed number of dice and using...
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What's the Matter? Locating Electrons in an Atom
Young scholars roll dice in order to simulate the probability of locating an electron in a certain region around the nucleus.
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Roll `Em!
First graders engage in using base ten blocks and dice for a fun engaging math lesson. They use a worksheet imbedded in this lesson as the game board to help them play this math game.
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Probability Plus
Students participate in a variety of activities to understand statistics. They collect and interpret data. Also students distinguish the difference between a population and a sample. They make inferences and create arguments using data.
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Creating a Bar Graph Using a Spreadsheet: Dice Rolling Probabilities
Tenth graders explore the concept of spreadsheets. They create a simple spreadsheet and chart from given data. Students perform basic formatting procedures on their chart. They use spreadsheet functions to perform calculations.
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Take A Chance Or Two
A two-part lesson immerses young statisticians in the concept of probability. On the first day, will conduct experiments with a two-colored coin and learn how to write probabilities as fractions, ratios, and percentages. In the second...
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Roll On Down!
Pupils create number sentences by rolling two dice. Each student rolls the dice and writes down the numbers in number sentence format. Then they add the problem by using the strategies of counting on and doubles.
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Double Sixes
In this algebra activity, students are given the challenge of determining how many times they would have to throw the dice to 'up' their chances of throwing double sixes. The problem is solved and fully worked however, it would be a...
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Radon Alert: Understanding Odds
In this radon alert: understanding odds worksheet, 5th graders predict results of rolling dice and record data in a chart, then compare odds of events and occupations, then compare that with radon exposure.
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Unexpected Answers
Students consider probability problems with unexpected and surprising answers.
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Fair Games
Fifth graders examine the statistics of playing games. Many games of chance and activities in maths text books involve rolling two dice and combining the scores, usually by addition. Students often find the probabilities of such events...
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Chance Dance Compositions
Fourth graders create dances through a randomly generated process (such as throwing a dice) and perform their dances for the class. Class work is based on Merce Cunningham's "Chance Dance" and includes walking, skipping hopping, and...
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What Are the Risks?
Young scholars use dice to determine the risk of being exposed to radon. They practice using new vocabulary related to probability and ratios. They make predictions about the results and record their observations.
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Tree Diagrams
In this tree diagram worksheet, students read story problems. From the given information, they draw tree diagrams to determine the total possible number of outcomes. This one-page worksheet contains ten problems.
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Counting Principle
In this counting principle instructional activity, students solve 10 problems by applying the counting principle to each one. First, they determine the number of possible outcomes in a coin toss. Then, students the number of different...
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Combinations & Permutations
In this combination and permutations instructional activity, learners identify possible outcomes. They determine if the given situation is a combination or permutation and solve accordingly. This one-page instructional activity...
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Manipulatives Make Abstract Math Concepts Concrete
Using math lessons that include manipulatives can help cement learning.
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"Eggs-ploring" Math with Jellybeans
Learners work in pairs with a small bag of jellybeans to estimate the number of candies in their bags and then figure out how many groups of 10 jellybeans are contained in their bags. They then graph the information using a pictograph or...
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The Fair Factor
Students participate in playing many games to determine if they are fair or not. They create their own game that is fair to play with their classmates.
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Making Learning a Game
A game lesson can be a way to explore a variety of concepts with your students.
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Not In My Backyard: The Nature and Danger of Nuclear Radiation
Students evaluate the ways to control exposure to radiation and determine how to deal with the problem of nuclear waste in a rational rather than an emotional way.