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Name: ________________ Date: _________ Period: _________ Design Your Own Game of Chance In this assignment, you will be designing your own game. The game should be the type of game that you would play at a carnival, amusement park, casino, or online. It cannot be a game that already exists; you must create a unique game. Use the concepts that you are currently learning to build your game. You must be able to explain the probability of your game at your math level, so don’t make it too basic/elementary or too complicated/crazy! Final Products: 1. Game – Include all game boards, playing pieces, cards, balls, etc. for your game. 2. Instructions - You must create a set of typed instructions to clearly explain your game. They must be easy to follow so that anyone can pick them up, read them and begin playing your game. 3. Report– See below. 4. Participate in Carnival Day. Report: 1. Introduction - Provide an overview of your game. • What type of game is it? Overall goal? Age group? Number of players? Etc. • Where would you play this type of game? • How much does it cost to play? • What are the prizes if you win? 2. Instructions - Step-by-Step instructions for how to play the game. 3. Game Description – What do you need to play the game? • List all materials needed to play (dice, spinner, darts, ball, etc.) • Draw picture of your game board, if necessary. 4. Probability Analysis: • What are the theoretical probabilities of winnings? Show reasoning clearly. • Is the game fair? Show the mathematical calculations for the expected value of winning the game. • If the game is not fair, how could you change the game to make it fair? • Be prepared to explain verbally all mathematical aspects of your game on Carnival Day. 5. Reflection – Write a 1-page reflection after Carnival Day. This part should be done individually if you are allowed to work in a group. • What were your overall feelings about this project? • Did this project help you understand probability and/or any other math concepts better? • If you were allowed to work in group, how did your group work together? Were there any group members that didn’t pull their weight? Any group members who tried to boss the group around? • Relevance: What have you learned about “Fair Games”? What is your opinion about Las Vegas and the gaming industry? Do you think it’s fair to have establishments designed for people to lose money? What is your opinion on the lottery? Would you advise your friends to play? • What were the strengths and weaknesses of your project? What would you do differently next time? • Add other ideas, concerns, or issues related to the project. Rubric for Design Your Own Game of Chance CATEGORY Game (20%) Advanced Students create a unique, original, interesting, fun, and fully functioning game. They bring all of the game materials to class. Proficient Students create a unique fully functioning game that students can play. They bring all of the game materials to class. Basic Students create an original game that students can play. There may be slight oversights, but overall the game can be played. Below Basic Students create a game, but it cannot be played in class. Students have an idea for a game. Instructions (10%) Instructions are clear and easy to follow. The game can be played by others without referring to the game creator for help. Instructions are mostly clear and easy to follow. The game can be played by others with minimal explanation from creator of the game. Instructions are somewhat unclear and a verbal description of the game is necessary. Instructions are incomplete and unclear. An extensive verbal description of the game is necessary. Report (20%) Comprehensive, complete, neat, clear, thoughtful, insightful, professional, cite resources used Comprehensive, complete, neat, clear, thoughtful, cite resources used Comprehensive, somewhat incomplete or unclear, cite resources used Math Analysis (40%) Game is designed with concepts at appropriate level of mathematics. Accurate analysis of the math behind the game. The idea of a fair game is clearly explained in terms of the project and an alternative for making the game fair is presented. Participated with cooperation and enthusiasm. Demonstrate high level of mathematical knowledge, communication, and critical thinking skills. Game is designed with concepts at appropriate level of mathematics. Analysis of the math behind the game and the idea of a fair game is clearly explained and mostly accurate, with minor errors. Some analysis of the math behind their game and the idea of a fair game. Analysis contains some mathematical errors. An attempt at a write-up is made, mostly unclear or incomplete, failed to cite resources used. Attempt some sort of analysis of the probability and the idea of fair game. Participated with cooperation and enthusiasm. Demonstrate a proficient level of mathematical knowledge, communication, and critical thinking skills. Participated with cooperation. Demonstrate an acceptable level of mathematical knowledge, communication, and critical thinking skills. Participation in Carnival Day (10%) Little to no participation. Demonstrate a low level of mathematical knowledge, communication, and critical thinking skills. Reference: http://www.aurora-‐schools.org/userfiles/473/Classes/12471/Probability%20Game%20project.pdf