Lesson Plan: Plum Stone Dice Game
- Standard A: Organize, describe, and make predictions from existing data.
- Late Elementary: 10.A.2c: Make predictions and decisions on data and communicate reasoning.
- Late Elementary: 10.A.2c: Make predictions and decisions on data and communicate reasoning.
- Standard C: Determine, describe, and apply the probabilities of events.
- Late Elementary: 10.C.2a: Calculate the probability of a simple event.
- Middle/Junior High: 10.C.3a:
- 10.C.3b: Analyze problem situations (board games, etc,) and make predictions about results.
- Late Elementary: 10.C.2a: Calculate the probability of a simple event.
15 minutes to prepare stones 30 minutes to discuss probability complete Odds chart and30 minutes to play game
- Someone has prepared the plum stones by collecting them, washing and scraping them clean, drying them.
- The painter can paint straight from the tube or jar, cleaning brush thoroughly between colors (white first). Two stones are painted black on one side. Three stones are painted white on one side.
- Paint should be dry in 15 minutes.
Discussion can be in math class on probability, using students previous knowledge. - Explain the situation involved; each simultaneous throw of five stones will yield one of a limited number of outcomes.
- Use the painted stones to throw and have class view outcome 1. The Odds Chart can be used here for the class to look at together, or later as an assessment tool.
- Students should be aware that there are 12 different outcomes possible, the odds are 1 in 12 of any one outcome, and the different odds of scoring 8, 3, 1, and 0 points.
Playing the game should be limited to 15 - 30 minutes per team of 2-4 members. - Students should be predicting the odds orally to each other for practice as they play.
- Teacher can assess progress by asking questions of various members as to their odds on the next throw of an outcome.
Scoring is optional, but may add incentive to stay on task. - Players decide on a goal of points; the first player or team to reach the goal 'wins' (It might be worthwhile to have a rule that the winners must be able to reiterate the odds of various scores orally to be declared the winner, or they will default)
Extension Activities:
Look at the scoring chart as you play. Predict the probability of the point-scoring combinations you want to score. There are two groups of dice:
Out of the 12 possible combinations you can throw, how many earn points? Changing those odds to percentages, what % chance do you have to score each time? What are the odds that you will score 8 points on one throw?
Culin, Stewart. Fletcher, Alice. C. Macfarlan, Allan and Paulette Macfarlan. Handbook of American Indian Games. Dover Publications, Inc., 1985. Miller, Jay. American indian games. Children's Press, 1997. One of the True Book series. Includes information on sources and listservs on the WWW. Anderson, Madelyn. North American Indian games. To be published in March 2000. NativeTech: Native American Technology and Art site includes games and references for various sections of the country |