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Probability Games
Summary: In this activity, students will practice calculating expected value and probability based on games of chance.
Subject:
Math: Probability and expected value
Grade Level:
Target Grade: 7
Upper Bound: 8
Lower Bound: 6
Time Required: 1-2 class periods
Materials:
One deck of cards
Three coins
10 numbered ping pong balls
Candy (3 pieces per student plus the dealers stash)
Reusable Activity Cost [in dollars]: $3.75 Expendable Activity Cost Per Class [in dollars]: $1.00
Lesson Introduction / Motivation:
Start by showing the class the Probability and Expected Value HYPERLINK "http://peer.tamu.edu/LocalSettings/Temp/Probability%20And%20Expected%20Value.ppt"PowerPoint presentation and associated HYPERLINK "http://peer.tamu.edu/LocalSettings/Temp/pptWorksheet.doc" PowerPoint worksheet. This can be modified to go very quickly or can take up day 1 of the activity. Then pass out three pieces of candy to each student and tell them that they will have a chance to win more candy by playing games.
Lesson Plan:
After passing out the candy, pass out the activity HYPERLINK "http://peer.tamu.edu/LocalSettings/Temp/Candy%20Gamble.doc"worksheet and game explanations. Review the games with the class and have them vote on two or three they want to play. Have them complete the worksheet; this may be difficult depending on the level of the class. Now its time to play! You will be the dealer/coin flipper/lotto ball drawer. Sit on one side of the table (a long or semi-circle table will work best). Feel free to get into character by wearing a visor and sunglasses and demonstrating your shuffling skills! If the students win they receive more candy or prizes, if they lose you keep their piece of candy. I always make sure they all get something on the way out of class.
Assessment:
If students can accurately answer the questions on the worksheet, this should show mastery of probability and expected value.
Prerequisites for this Lesson:
Knowledge of how to multiply and add fractions.
TEKS:
6.2(B): Use addition and subtraction in problems with fractions.
6.3(C): Use ratios to make predictions.
6.9(B): Find the probabilities of a simple event.
6.11(A): Identify and apply mathematics to everyday experiences.
7.2(A): Represent multiplication with fractions.
7.2(B): Add and multiply fractions to find answers.
7.10(A): Construct sample spaces for compound events.
7.10(B): Find the approximate probability of a compound event through experiments.
7.13(A): Identify and apply mathematics to everyday experiences.
8.11(A): Find probabilities of compound events.
8.11(B): Use probabilities and experimental results to predict and make decisions.
8.11(C): Use different models to simulate and event.
8.14(A): Identify and apply mathematics to everyday experiences.
Vocabulary / Definitions:
Probability: How likely it is that an event will occur.
Independent Events: Two events are independent if the result of the second event is not affected by the result of the first event.
Dependent Events: The outcome of the second event is influenced by the outcome of the first.
Expected Value: The average value an experiment is expected to produce if it is repeated a large number of times.
Multimedia Support and Attachments: (only works if you saved the files to your temp folder, otherwise you need to locate it to open).
HYPERLINK "http://peer.tamu.edu/LocalSettings/Temp/Probability%20And%20Expected%20Value.ppt"PowerPoint presentation
HYPERLINK "http://peer.tamu.edu/LocalSettings/Temp/Candy%20Gamble.doc"Worksheet and game explanations
HYPERLINK "http://peer.tamu.edu/LocalSettings/Temp/pptWorksheet.doc" PowerPoint Worksheet
Authors: Graduate Fellow Name: Kevin Brink Teacher Mentor Name: Megan Russ Undergraduate Fellow Name: Rebecca RowntreeDate Submitted: January 1, 2008 Date Last Edited: January 1, 2008
Please email us your comments on this lesson: E-mail to HYPERLINK "mailto:ljohnson@cvm.tamu.edu" ljohnson@cvm.tamu.eduPlease include the title of the lesson, whether you are a teacher, resident scientist or college faculty and what grade you used it for.
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