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PENNSYLVANIA Date: March 11, 2014 ET Susquenita Curriculum Course: .PACC Intermediate Algebra Curriculum: Topic: (10B) Probability Days: 30 Subject(s): Know: S.IPM.1 -- Essential Understand that to describe a pair of random processes (such as tossing a coin and rolling a number cube), or one random process repeated twice (such as randomly selecting a student in the class on two different days), two probability models can be combined into a single model. S.IPM.2 -- Essential Understand that when two probability models are combined independently, the probability that one type of outcome in the first model occurs together with another type of outcome in the second model is the product of the two corresponding probabilities in the original models (the Multiplication Rule). CC.2.4.HS.B.6 -Essential Use the concepts of independence and conditional probability to interpret data. CC.2.4.HS.B.7 -Essential Apply the rules of probability to compute probabilities of compound events in a uniform probability model. Grade(s): Understand: Students will understand how to find the probability of different situations in real life settings. Do: S.PM.5c -- Essential Determine probabilities of individual outcomes, and determine the probability of a type or category of outcome as the fraction of individual outcomes it includes. S.IPM.2 -- Essential Understand that when two probability models are combined independently, the probability that one type of outcome in the first model occurs together with another type of outcome in the second model is the product of the two corresponding probabilities in the original models (the Multiplication Rule). CC.2.4.HS.B.6 -- Essential Use the concepts of independence and conditional probability to interpret data. CC.2.4.HS.B.7 -- Essential Apply the rules of probability to compute probabilities of compound events in a uniform probability model. 1 -- Essential Make sense of problems and persevere in solving them. 2 -- Essential Reason abstractly and quantitatively. 3 -- Essential Construct viable arguments and critique the reasoning of others. 4 -- Essential Model with mathematics. 5 -- Essential Use appropriate tools strategically. 6 -- Essential Attend to precision. 7 -- Essential Look for and make use of structure. Page 1 of 4 PENNSYLVANIA Date: March 11, 2014 ET Susquenita Curriculum Course: .PACC Intermediate Algebra Curriculum: Topic: (10B) Probability Days: 30 Subject(s): Know: 1 -- Essential Make sense of problems and persevere in solving them. 2 -- Essential Reason abstractly and quantitatively. Grade(s): Understand: Do: 8 -- Essential Look for and express regularity in repeated reasoning. A1.2.3.3.1 -- Essential Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal, or percent. 3 -- Essential Construct viable arguments and critique the reasoning of others. 4 -- Essential Model with mathematics. 5 -- Essential Use appropriate tools strategically. 6 -- Essential Attend to precision. 7 -- Essential Look for and make use of structure. 8 -- Essential Look for and express regularity in repeated reasoning. A1.2.3.3.1 -- Essential Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal, or percent. Page 2 of 4 Susquenita Curriculum Course: .PACC Intermediate Algebra Curriculum: Topic: PENNSYLVANIA Date: March 11, 2014 ET (10B) Probability Subject(s): Days: 30 Grade(s): Which standards are students learning in this unit? S.PM.7 -- Important Compare probabilities from a theoretical model to probabilities from a corresponding empirical model for the same situation. If the agreement is not good, explain possible sources of the discrepancies. S.PM.5c -- Essential Determine probabilities of individual outcomes, and determine the probability of a type or category of outcome as the fraction of individual outcomes it includes. S.IPM.1 -- Essential Understand that to describe a pair of random processes (such as tossing a coin and rolling a number cube), or one random process repeated twice (such as randomly selecting a student in the class on two different days), two probability models can be combined into a single model. S.IPM.2 -- Essential Understand that when two probability models are combined independently, the probability that one type of outcome in the first model occurs together with another type of outcome in the second model is the product of the two corresponding probabilities in the original models (the Multiplication Rule). CC.2.4.HS.B.6 -- Essential Use the concepts of independence and conditional probability to interpret data. CC.2.4.HS.B.7 -- Essential Apply the rules of probability to compute probabilities of compound events in a uniform probability model. 1 -- Essential Make sense of problems and persevere in solving them. 2 -- Essential Reason abstractly and quantitatively. 3 -- Essential Construct viable arguments and critique the reasoning of others. 4 -- Essential Model with mathematics. 5 -- Essential Use appropriate tools strategically. 6 -- Essential Attend to precision. 7 -- Essential Look for and make use of structure. Page 3 of 4 Susquenita Curriculum Course: .PACC Intermediate Algebra Curriculum: Topic: PENNSYLVANIA Date: March 11, 2014 ET (10B) Probability Subject(s): Days: 30 Grade(s): 8 -- Essential Look for and express regularity in repeated reasoning. A1.2.3.3.1 -- Essential Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal, or percent. Page 4 of 4 PENNSYLVANIA Date: March 11, 2014 ET Susquenita Curriculum Course: .PACC Intermediate Algebra Curriculum: Topic: (10B) Probability Days: 30 Subject(s): Grade(s): Key Learning: Students will understand how to find the probability of different situations in real life settings. Unit Essential Question(s): How can you calculate probability in various contexts? Concept: Probability and Odds Concept: Concept: Permutations and Combinations Compound events S.PM.5c, S.PM.7, CC.2.4.HS.B.6, 1, 5 CC.2.4.HS.B.6, 1, 5 S.IPM.2, S.IPM.1, CC.2.4.HS.B.6, CC.2.4.HS.B.7, 1, 5 Lesson Essential Question(s): How are probability and odds related? (A) Lesson Essential Question(s): How do you choose between using a permutation or combination? (A) Lesson Essential Question(s): How do you calculate the probability of more than one event occuring? (A) Vocabulary: permutation, combination, factorial Vocabulary: independent events, dependent events, compound events S.PM.5c Vocabulary: odds, outcome, event, sample space, theoretical probability, experimental probability Additional Information: Attached Document(s): Page 1 of 1 Susquenita Curriculum Course: .PACC Intermediate Algebra Curriculum: Vocab Report for Topic: (10B) Probability Subject(s): PENNSYLVANIA Date: March 11, 2014 ET Days: 30 Grade(s): Concept: Probability and Odds odds outcome event sample space theoretical probability experimental probability - Concept: Permutations and Combinations permutation combination factorial - Concept: Compound events independent events dependent events compound events - Page 1 of 1