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CARNIVAL GAME PROJECT Timeline: Days 1-2: Work carnival game – ideas, probability calculations, diagrams, materials list for game, build game, etc. Day 3: Present carnival game (need either picture of game or game itself) Items that should be included in your presentation: 1. Theoretical probability of winning the game 2. Rules/How to play the game – you can demonstrate if you want 3. Prizes – what you win. Day 4: Play carnival games and record results (use to calculate Experimental Probability) DIRECTIONS: Design a carnival game. 1. Create a Working carnival game. It must be a working, playable game in order to collect data. 2. Collect data for your game on Carnival Day to calculate your experimental probabilities. You must have at least 25 plays. 3. Complete a report (using attached report sheet – you will show calculations here) with the following information: a. Information about the game: 1. Rules of the game 2. Cost to play the game (tickets/stamps) 3. Prizes you win and how you win b. Theoretical probability of winning the prizes (Show how you calculated this probability.) You may need to include a tree diagram. c. Experimental probability of winning the game - (calculated AFTER the games are played) d. Written explanation comparing the theoretical probability and the experimental probability. Grading Rubric Game (as graded on Carnival Day) 20 points—The game is well-made, easy to play 15 points—The game is included and playable, but problems of design or construction are evident. 10 points—The game is included but is difficult to play and poorly made. 5 points—The game is included, but it is not playable 0 points—The game is not included. Report a. The Rules of the game 10 points—Clearly states rules, which are easy to understand. 5 points—Gives rules, but does not clearly state them. 0 points—Does not give any rules. b. Prizes and how to earn the prizes 10 points— Organized and easy-to-understand list prizes 5 points—Prizes are hard to follow 0 points – No prizes listed c. Theoretical probability of winning the game 15 points—Correct computation of theoretical probability of winning the game. 10 points—Has some errors in computing probabilities. Not enough trials while finding experimental probability. 5 points—Gives only one probability or has major errors. 0 points—Does not give or address correctly any probabilities. d. Experimental probability of winning the game 15 points—Correct computation of experimental probability of winning the game. Meets 25+ trials limit. 10 points—Has some errors in computing probabilities. Not enough trials while finding experimental probability. 5points—Gives only one probability or has major errors. 0 points—Does not give or address correctly any probabilities. e. Written comparison 15 points—Clearly and articulately explains the difference between the theoretical and experimental probability. 10 points—Comparison is included, but is hard to follow or unclear. 0 points—Does not include a comparison. f. Presentation 15 points—Clear, concise, understand how to play game and how prizes are won, positive interaction with those playing 10 points—Clear, concise, unclear exactly how to play game and how prized are won, difficulty interacting with those playing 5 point—Not clear or concise, not sure how to play game 0 points—Not clear or concise, no idea how game works or is played Group Members: ____________________________, _____________________________ CARNIVAL GAME REPORT 1. Game information – Name of game/Rules/ Prizes 2. Theoretical probability 3. Experimental probability - (calculated AFTER the games are played) 4. Comparison Group/Students: ______________________________________ Carnival Game Rubric 0 The game is not included 5 The game is included but not playable 10 The game is included but is difficult to play and poorly made 15 20 The game is The game included is welland made, easy playable, to play but problems of design or construction are evident Total Game Report: 0 Does not address topic Rules of the Game Prizes and how to earn the prizes Theoretical Experimental Written Comparison Presentation Additional Notes 5 Major Errors 10 Some Errors 15 Correctly Addresses Topic Total