Probability Board Game Design
Inquiry Framework
Question Framework
Driving Question
The overarching question that guides the entire project.How can we design a probability-based board game that is both fair, engaging, and demonstrates the principles of probability through its mechanics and representation?Essential Questions
Supporting questions that break down major concepts.- How can probability be used to design a fair and balanced game?
- How can you represent probability in different ways (fractions, decimals, percentages)?
- How do the rules of a game influence the probability of winning?
- What makes a game engaging and fun to play?
Standards & Learning Goals
Learning Goals
By the end of this project, students will be able to:- Students will be able to calculate probabilities of simple events.
- Students will be able to represent probabilities as fractions, decimals, and percentages.
- Students will be able to design a game that incorporates probability in a fair and engaging way.
- Students will be able to explain how the rules of a game influence the probability of winning.
- Students will be able to test and refine their game based on feedback and playtesting.
Teacher Provided
Entry Events
Events that will be used to introduce the project to studentsBroken Board Game Prototype Challenge
Students are presented with a broken, unfinished probability-based board game prototype from a fictitious game company. They must analyze the existing game mechanics, identify the flaws in the probability design, and propose solutions to make the game fair and engaging. This event sparks curiosity about game design and the importance of balanced probability.Portfolio Activities
Portfolio Activities
These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.Game Theme & Probability Integration Brainstorm
Students will brainstorm game themes and mechanics that can integrate probability. They will explore different types of games (e.g., roll-and-move, card-based) and think about how probability can be embedded in the game rules.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA concept map or outline detailing the game's theme, basic mechanics, and potential ways probability can be incorporated.Alignment
How this activity aligns with the learning objectives & standardsDirectly addresses 6MPS1 by focusing on describing chance and likelihood through game mechanics.Probability Calculation & Representation
Students calculate the probabilities associated with different game events (e.g., rolling a specific number on a die, drawing a particular card). They will represent these probabilities as fractions, decimals, and percentages to understand the likelihood of different outcomes.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA probability table or chart for their game, showing the likelihood of various events occurring, expressed as fractions, decimals, and percentages.Alignment
How this activity aligns with the learning objectives & standardsCovers representing probabilities, a key part of 6MPS1, by translating calculated probabilities into game design elements.Playtest, Analyze, and Refine
Students playtest their game and gather data on the outcomes. They use this data to refine the game mechanics and rules, ensuring that the game is both fair and engaging. They analyze the data to see if the actual outcomes align with their predicted probabilities.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA revised game design document, incorporating playtesting data and adjustments to the rules and probability mechanics.Alignment
How this activity aligns with the learning objectives & standardsReinforces 6MPS1 by predicting game data based on playtesting and adjusting game parameters accordingly.Rubric & Reflection
Portfolio Rubric
Grading criteria for assessing the overall project portfolioProbability Board Game Design Rubric
Game Concept & Design
Assesses the creativity and integration of probability in the initial game design.Theme Engagement
Clarity and creativity of the game's theme and how well it captures player interest.
Exemplary
4 PointsTheme is highly original, exceptionally engaging, and seamlessly integrates with the game mechanics to create a captivating player experience. Demonstrates an innovative approach to combining the theme with probability elements.
Proficient
3 PointsTheme is engaging, well-defined, and appropriately integrated with the game mechanics to provide a clear and enjoyable player experience. Effectively combines the theme with probability elements.
Developing
2 PointsTheme is present but may lack originality or a clear connection to the game mechanics, resulting in a less engaging player experience. Basic attempt to combine the theme with probability elements is evident.
Beginning
1 PointsTheme is unclear, unoriginal, or absent, leading to a disjointed player experience. There is little to no connection between the theme and game mechanics or probability elements.
Probability Integration
How effectively the concept map or outline demonstrates the integration of probability within the game mechanics.
Exemplary
4 PointsConcept map/outline comprehensively and innovatively integrates probability into the game mechanics, clearly showing how probability influences gameplay in multiple ways. Demonstrates a deep understanding of probabilistic concepts.
Proficient
3 PointsConcept map/outline effectively integrates probability into the game mechanics, showing how probability influences gameplay. Demonstrates a solid understanding of probabilistic concepts.
Developing
2 PointsConcept map/outline shows some attempt to integrate probability into the game mechanics, but the connection may be weak or unclear. Demonstrates a basic understanding of probabilistic concepts.
Beginning
1 PointsConcept map/outline does not clearly integrate probability into the game mechanics, and the influence on gameplay is minimal or absent. Demonstrates a limited understanding of probabilistic concepts.
Probability Calculation & Representation
Evaluates the accuracy and representation of probability calculations within the game.Probability Accuracy
Accuracy of the probability calculations for various game events.
Exemplary
4 PointsAll probability calculations are precise and accurate, demonstrating a sophisticated understanding of probability principles. Calculations are flawlessly applied to the game events.
Proficient
3 PointsMost probability calculations are accurate, demonstrating a thorough understanding of probability principles. Minor errors may be present but do not significantly impact the overall accuracy.
Developing
2 PointsSome probability calculations are accurate, but significant errors or omissions are present, indicating gaps in understanding of probability principles.
Beginning
1 PointsProbability calculations are largely inaccurate or missing, demonstrating a limited understanding of probability principles.
Probability Representation
Clarity and completeness of the probability table or chart, including representation as fractions, decimals, and percentages.
Exemplary
4 PointsProbability table/chart is exceptionally clear, well-organized, and complete, providing all necessary information in an easily understandable format. Probabilities are flawlessly represented as fractions, decimals, and percentages.
Proficient
3 PointsProbability table/chart is clear, well-organized, and mostly complete, providing most of the necessary information in an understandable format. Probabilities are accurately represented as fractions, decimals, and percentages.
Developing
2 PointsProbability table/chart is somewhat unclear or incomplete, missing some necessary information or lacking organization. Representation of probabilities as fractions, decimals, and percentages may contain errors.
Beginning
1 PointsProbability table/chart is unclear, disorganized, and incomplete, providing little to no useful information. Representation of probabilities as fractions, decimals, and percentages is largely inaccurate or missing.
Playtest & Refinement
Assesses the impact of playtesting and subsequent refinements on the game's design and mechanics.Playtesting Effectiveness
Effectiveness of the playtesting process in gathering relevant data for game refinement.
Exemplary
4 PointsPlaytesting is conducted rigorously, gathering comprehensive data on game outcomes and player experiences. Data collection methods are sophisticated and highly effective in informing game refinement.
Proficient
3 PointsPlaytesting is conducted effectively, gathering sufficient data on game outcomes and player experiences. Data collection methods are effective in informing game refinement.
Developing
2 PointsPlaytesting is conducted, but the data gathered may be limited or not directly relevant to game refinement. Data collection methods are basic and may not provide sufficient insights.
Beginning
1 PointsPlaytesting is minimal or absent, resulting in insufficient data for game refinement. Data collection methods are ineffective or not utilized.
Game Refinement
How well the game is refined based on playtesting data, including adjustments to rules and probability mechanics.
Exemplary
4 PointsGame is refined exceptionally well based on playtesting data, resulting in significant improvements to game balance, fairness, and engagement. Adjustments to rules and probability mechanics are data-driven and highly effective.
Proficient
3 PointsGame is refined effectively based on playtesting data, resulting in improvements to game balance, fairness, and engagement. Adjustments to rules and probability mechanics are data-driven and effective.
Developing
2 PointsGame shows some refinement based on playtesting data, but improvements may be limited or not fully address issues of game balance, fairness, or engagement. Adjustments to rules and probability mechanics may be superficial or not fully data-driven.
Beginning
1 PointsGame shows little to no refinement based on playtesting data, and significant issues of game balance, fairness, or engagement remain unaddressed. Adjustments to rules and probability mechanics are minimal or absent.