ZIS MYP Math Year 10: Assessment Rubric – UNIT 3 Summative Task: Probability and Casino Games Significant Concept: Casino Games are designed to be unfair Unit Question: How can I create and unfair Casino Game? AOI: Human Comments: Ingenuity Level 0 NAME Grades: B: /8 C: /6 D: /6 Criteria B: Investigating Patterns Description Criteria The student fails to reach any standard given below. With teacher assistance, how the game works, in terms of chance/probability, is somewhat explained, and justifications for conclusions are attempted. 1–2 The student applies, with some guidance, mathematical problemsolving techniques to recognize simple patterns. With some guidance, some of the rules concerning the probabilities of the game are described. The reasoning for this/these uses probability techniques selected with guidance. With guidance, a game has been created that either attempts to or somewhat answers the problem. The card game shows some understanding of the concepts and techniques of probabilities. All of 1 – 2 3–4 The student selects and applies mathematical problem-solving techniques to recognize patterns, and suggests relationships or general rules. How the game works, in terms of chance/probability, is somewhat explained, and all conclusions are somewhat justified. Some of the rules concerning the probabilities of the game are described. The reasoning for this/these uses mostly appropriately selected and applied probability techniques, concepts and understanding. A game has been created that somewhat answers the problem. The card game shows a general understanding of the concepts and techniques of probabilities. All of 3 – 4 5–6 The student selects and applies mathematical problem-solving techniques to recognize patterns, describes them as relationships or general rules, and draws conclusions consistent with findings. How the game works, in terms of chance/probability, is mostly explained, and all conclusions are mostly justified. The rules concerning the probabilities of the game are generally described. The reasoning for this/these uses appropriately selected and applied probability techniques, concepts and understanding. A game has been created that generally answers the problem. The card game shows a good understanding of the concepts and techniques of probabilities. The student selects and All of 5 – 6 applies mathematical How the game works, in terms of chance/probability, is completely problem-solving explained and explored*, and all conclusions are thoroughly justified. techniques to recognize patterns, describes them All of the rules concerning the probabilities of the game are fully described. 7 – 8 as relationships or The reasoning for this/these uses appropriately selected, applied and general rules, draws justified probability techniques, concepts and understanding. conclusions consistent A game has been created that successfully answers the problem. with findings, and provides justifications or The game shows an advanced level of understanding of probabilities. proofs. * all possible outcomes and scenarios are considered in appropriate detail Grade Level 0 Criteria C: Communication Description Criteria Grade The student fails to reach any standard given below. The ‘pitch’ is rarely strongly and clearly delivered at times 1–2 The student shows basic use of mathematical language and/or forms of mathematical representation. The lines of reasoning are difficult to follow. It is somewhat clear how the game, and the probabilities, work, in theory and practice The reasoning of how the game favours the house is difficult to follow Appropriate and relevant mathematical language and symbols are sometimes or rarely used The media (communication tools) used in the presentation is/are not particularly suitable or useful. The ‘pitch’ is sometimes strongly and clearly delivered 3–4 The student shows sufficient use of mathematical language and forms of mathematical representation. The lines of reasoning are clear though not always logical or complete. The student moves between different forms of representation with some success. It is mostly clear how the game, and the probabilities, work The reasoning of how the game favours the house is generally clear and usually logical. The presentation mostly uses appropriate and relevant mathematical language and symbols. The reasoning and probabilities of the game, in practice and in theory, are easily explained in different ways, varying types of representations and different perspectives. The media (communication tools) used in the presentation is/are fairly suitable and useful The ‘pitch’ is strongly and clearly delivered. 5–6 The student shows good use of mathematical language and forms of mathematical representation. The lines of reasoning are concise, logical and complete. The student moves effectively between different forms of representation. It is clear how the game, and the probabilities, work, because of the clear and effective explanation. The reasoning of how the game favours the house is clear and logical. The presentation effectively uses appropriate and relevant mathematical language and symbols. The reasoning and probabilities of the game, in practice and in theory, are easily explained in different ways, varying types of representations and different perspectives. The media (communication tools) used in the presentation is/are suitable and well used. Level 0 Criterion D: Reflection in Mathematics Criteria Description 1-2 None of the grade and task descriptors are met in a meaningful way. The student attempts to explain whether his or her results make sense in You attempt to correctly address the context of the problem. Question 1 3-4 The student attempts to describe the importance of his or her findings in connection to real life. The student correctly but briefly explains whether his or her results make sense in the context of the problem and describes the importance of his or her findings in connection to real life. The student attempts to justify the degree of accuracy of his or her results where appropriate. The student critically explains whether his or her results make sense in the context of the problem and provides a detailed explanation of the importance of his or her findings in connection to real life. 5-6 The student justifies the degree of accuracy of his or her results where appropriate. The student suggests improvements to the method when necessary. You attempt to address Question 2 You briefly and correctly address Question 1 You attempt to correctly address Question 2 You thoroughly and correctly address Question 1 You thoroughly and correctly address Question 2 You thoroughly and correctly address Question 3 Grade