S.CP.4 Construct and interpret two-way frequency tables of reasoning of others. Understand data when two categories are associated with each object being independence and classified. Use the two-way table as a sample space to decide if Model with conditional events are independent and to approximate conditional mathematics. probability and use probabilities. For example, collect data from a random sample them to interpret of students in your school on their favorite subject among math, Use appropriate data. science, and English. Estimate the probability that a randomly tools selected student from your school will favor science given that strategically. (continued from the student is in tenth grade. Do the same for other subjects and previous page) compare the results. Attend to precision. Essential Skills and Knowledge Look for and make Ability to connect experience with two-way frequency tables from Algebra I to sample spaces use of structure. Knowledge of the characteristics of conditional probability Look for and express regularity in S.CP.5 Recognize and explain the concepts of conditional repeated probability and independence in everyday language and reasoning. everyday situations. For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer. Essential Skills and Knowledge Ability to make connections between statistical concepts and real world situations S.CP.6 Find the conditional probability of A given B as the Make sense of fraction of B’s outcomes that also belong to A, and interpret the problems and answer in terms of the model. persevere in solving Use the rules of them. probability to Essential Skills and Knowledge compute Ability to analyze a situation to determine the probabilities of Reason abstractly conditional probability of a described event given that compound events in and another event occurs a uniform quantitatively. probability model. S.CP.7 Apply the Addition Rule, Construct viable P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in arguments and terms of the model.
Understand independence and conditional probability and use them to interpret data. (continued from previous page) S.CP.4 Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results. Essential Skills and Knowledge Ability to connect experience with two-way frequency tables from Algebra I to sample spaces Knowledge of the characteristics of conditional probability S.CP.5 Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer. Essential Skills and Knowledge Ability to make connections between statistical concepts and real world situations reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Use the rules of probability to compute probabilities of compound events in a uniform probability model. S.CP.6 Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model. Essential Skills and Knowledge Ability to analyze a situation to determine the conditional probability of a described event given that another event occurs S.CP.7 Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and