Citation & Export
Related Resources (1)
View Analytics (1)
Statistics
Now Playing: MP4-1
Citation & Export
APA citation
B89, Probability strand: Dice games with two players (Student View), grade 6, May 05, 2004, raw footage. [video] Retrieved from https://doi.org/doi:10.7282/t3-v3gq-s085
Export
Related Resources (1)
Analytics (1)
Description
TitleB89, Probability strand: Dice games with two players (Student View), grade 6, May 05, 2004, raw footage.
PublisherNew Brunswick, N.J.: Robert B. Davis Institute for Learning, 2004-05-05, c2004-05-05
Persistent URLhttps://doi.org/doi:10.7282/t3-v3gq-s085
DescriptionThis was the second session that 6th grade students from the Plainfield, NJ district explored probability by playing dice games in an after-school enrichment program. In this video, different pairs of students are working on different problems based on their attendance and work completion in the first session. In this video, three pairs work on dice game #1 and dice game #2: Tony and Chris M, Shamar and Jeffrey, and Heemah and Researcher Francisco. Two pairs work on dice game #2: Dante and David and Chris L and Jerel. Danielle, Kori, Chanel, and Nia finish their writeup of dice game #2 and work on pyramidal dice game #1.
Dice game #1: A Game With One Die: Roll one die. If the die lands on a 1, 2, 3 or 4, player A gets one point (and player B gets 0). If the die lands on 5 or 6, player B gets one point ( and player A gets 0). Continue rolling the die. The first player to get ten points is the winner. (1) Is this a fair game? Why or why not? (2) Play the game with a partner. Do the results of playing the game support your answer? Explain. (3) If you think the game is unfair, how could you change it so that it could be fair?
[Note: The game favors Player A with a 2/3probability of winning a point and a probability of approximately .935 of winning a game.]
Dice games #2: Roll two dice. If their sum is 2, 3, 4, 10, 11, or 12, player A gets one point (and player B gets 0). If their sum is 5, 6, 7, 8, or 9, player B gets one point (and player A gets 0). Continue rolling the dice. The first person to get ten points is the winner. (1) Is this a fair game? Why or why not? (2) Play the game with a partner. Do the results of playing the game support your answer? Explain. (3) If you think the game is unfair, how could you change it so that it could be fair?
[Note: The game favors Player B with a ⅔ probability of winning a point and a probability of approximately .935 of winning a game.]
Pyramidal Dice Game #1: A pyramidal die has four sides. The number that is rolled is shown upright. Roll two dice. If the sum of the two dice is 2, 3, 7, or 8, Player A gets one point (and player B gets 0). If the sum is 4, 5, or 6, Player B gets one point (and Player A gets 0). Continue rolling the dice. The first person to get ten points is the winner. (1) Is this a fair game? Why or why not? (2) Play the game with a partner. Do the results of playing the game support your answer? Explain. (3) If you think the game is unfair, how could you change it so that it would be fair?
Dice game #1: A Game With One Die: Roll one die. If the die lands on a 1, 2, 3 or 4, player A gets one point (and player B gets 0). If the die lands on 5 or 6, player B gets one point ( and player A gets 0). Continue rolling the die. The first player to get ten points is the winner. (1) Is this a fair game? Why or why not? (2) Play the game with a partner. Do the results of playing the game support your answer? Explain. (3) If you think the game is unfair, how could you change it so that it could be fair?
[Note: The game favors Player A with a 2/3probability of winning a point and a probability of approximately .935 of winning a game.]
Dice games #2: Roll two dice. If their sum is 2, 3, 4, 10, 11, or 12, player A gets one point (and player B gets 0). If their sum is 5, 6, 7, 8, or 9, player B gets one point (and player A gets 0). Continue rolling the dice. The first person to get ten points is the winner. (1) Is this a fair game? Why or why not? (2) Play the game with a partner. Do the results of playing the game support your answer? Explain. (3) If you think the game is unfair, how could you change it so that it could be fair?
[Note: The game favors Player B with a ⅔ probability of winning a point and a probability of approximately .935 of winning a game.]
Pyramidal Dice Game #1: A pyramidal die has four sides. The number that is rolled is shown upright. Roll two dice. If the sum of the two dice is 2, 3, 7, or 8, Player A gets one point (and player B gets 0). If the sum is 4, 5, or 6, Player B gets one point (and Player A gets 0). Continue rolling the dice. The first person to get ten points is the winner. (1) Is this a fair game? Why or why not? (2) Play the game with a partner. Do the results of playing the game support your answer? Explain. (3) If you think the game is unfair, how could you change it so that it would be fair?
Math ToolWorksheet with problem statements
Math StrandProbability
Math ProblemDice games
NCTM Grade Range6-8
NCTM Content StandardData analysis and probability
NCTM Process StandardProblem solving, Communication
Forms of Reasoning, Strategies and HeuristicsDirect reasoning
Grade Level6
Student ParticipantsDante (student), Shamar (student), Jeffery N. (student), David (student), Tony (student), Chris M. (student), Danielle (student), Kori (student), Chanel J. (student), Nia (student), Heemah (student), Chris L. (student), Jerel (student)
MediatorsMaher, Carolyn Alexander (Researcher), Powell, Arthur B. (Researcher), Alston, Alice (Researcher), Palius, Marjory (Researcher), Francisco, John (Researcher), Pedrick, Lou (Teacher)
SettingInformal learning
Student GenderMixed
Student EthnicityMixed
Camera ViewsStudent view
RightsThe video is protected by copyright. It is available for reviewing and use within the Video Mosaic Collaborative (VMC) portal. Please contact the Robert B. Davis Institute for Learning (RBDIL) for further information about the use of this video.
Date Captured2004-05-05
Local IdentifierB89-20040505-PLHUB-SV-IML-GR6-PROB-DICE-RAW
Related Publication
Type: Related publication
Label: Ph.D dissertation references the video footage
Date: 2008
Author: Kathleen B. Shay (Rutgers, the State University of New Jersey)
Name: Tracing Middle School Students' Understanding of Probability: A Longitudinal Study
Type: Related publication
Label: Ph.D dissertation references the video footage
Date: 2008
Author: Kathleen B. Shay (Rutgers, the State University of New Jersey)
Name: Tracing Middle School Students' Understanding of Probability: A Longitudinal Study