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PENNSYLVANIA Date: March 12, 2014 ET Susquenita Curriculum Course: .PACC Probability and Statistics Curriculum: Topic: 08 Hypothesis Testing with Two Samples Days: 15 Subject(s): Math Know: 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. Grade(s): 10th, 11th, 12th Understand: Hypothesis Testing for two variables is used to check the validity of a claim regarding two independent or dependent events. Do: S.IC.8 -- Essential Evaluate reports based on data. S.ES.5 -- Compact Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets and tables to estimate areas under the normal curve. 1 -- Essential Make sense of problems and persevere in solving them. 4 -- Essential Model with mathematics. 2 -- Essential Reason abstractly and quantitatively. 5 -- Essential Use appropriate tools strategically. 3 -- Essential Construct viable arguments and critique the reasoning of others. 6 -- Essential Attend to precision. 4 -- Essential Model with mathematics. 7 -- Essential Look for and make use of structure. 5 -- Essential Use appropriate tools strategically. 8 -- Essential Look for and express regularity in repeated reasoning. CC.2.4.HS.B.1 -Essential Summarize, represent, and interpret data on a single count or measurement variable. 6 -- Essential Attend to precision. 7 -- Essential Look for and make use of structure. 8 -- Essential Look for and express regularity in repeated reasoning. CC.2.4.HS.B.1 -- Essential Summarize, represent, and interpret data on a single count or measurement variable. Page 1 of 3 PENNSYLVANIA Date: March 12, 2014 ET Susquenita Curriculum Course: .PACC Probability and Statistics Curriculum: Topic: 08 Hypothesis Testing with Two Samples Days: 15 Subject(s): Math Know: CC.2.4.HS.B.5 -Essential Make inferences and justify conclusions based on sample surveys, experiments, and observational studies. Grade(s): 10th, 11th, 12th Understand: Do: CC.2.4.HS.B.5 -- Essential Make inferences and justify conclusions based on sample surveys, experiments, and observational studies. . Page 2 of 3 Susquenita Curriculum Course: .PACC Probability and Statistics Curriculum: Topic: PENNSYLVANIA Date: March 12, 2014 ET 08 Hypothesis Testing with Two Samples Subject(s): Math Days: 15 Grade(s): 10th, 11th, 12th 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.IC.8 -- Essential Evaluate reports based on data. S.ES.5 -- Compact Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets and tables to estimate areas under the normal curve. 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. 8 -- Essential Look for and express regularity in repeated reasoning. CC.2.4.HS.B.1 -- Essential Summarize, represent, and interpret data on a single count or measurement variable. CC.2.4.HS.B.5 -- Essential Make inferences and justify conclusions based on sample surveys, experiments, and observational studies. Page 3 of 3 PENNSYLVANIA Date: March 12, 2014 ET Susquenita Curriculum Course: .PACC Probability and Statistics Curriculum: Topic: 08 Hypothesis Testing with Two Samples Days: 15 Subject(s): Math Grade(s): 10th, 11th, 12th Key Learning: Hypothesis testing can be used to compare two populations Unit Essential Question(s): How can hypothesis testing be used to determine if differences in samples represent actual differences in populations? Concept: Concept: Concept: Large Independent Samples Small Independent Samples Dependent Sampels S.ES.5, 2, 3, CC.2.4.HS.B.1, CC.2.4.HS.B.5, S.IC.8, S.PM.7 2, 3, CC.2.4.HS.B.1, CC.2.4.HS.B.5, S.IC.8, S.ES.5, S.PM.7 2, 3, CC.2.4.HS.B.1, CC.2.4.HS.B.5, S.IC.8, S.ES.5, S.PM.7 2.2.11.D, 2.4.11.A, 2.4.11.B, 2.4.11.C, 2.5.11.B, 2.6.11.H 2.2.11.F, 2.4.11.A, 2.4.11.B, 2.4.11.C, 2.5.11.B, 2.6.11.H Lesson Essential Question(s): How do you perform a two-sample z-test for the difference between two means using large independent samples? (A) S.IC.8, S.PM.7 2.2.11.F, 2.4.11.A, 2.4.11.B, 2.4.11.C, 2.5.11.B, 2.6.11.H Lesson Essential Question(s): Lesson Essential Question(s): How do you perform a two-sample t-test for the How do you decide whether two samples are difference between two means using small independent or dependent? (A) independent samples? (A) S.IC.8, S.ES.5, S.PM.7 S.IC.8, S.ES.5, S.PM.7 How do you perform a t-test to test the mean of the differences for a population of paired data? (A) S.IC.8, S.ES.5, S.PM.7 Vocabulary: independent, 2-sample z-test Vocabulary: pooled Vocabulary: dependent, paired samples Concept: Concept: Concept: Lesson Essential Question(s): Lesson Essential Question(s): Vocabulary: Vocabulary: Difference Between Proportions 2, 3, CC.2.4.HS.B.1, CC.2.4.HS.B.5, S.PM.7, S.IC.8, S.ES.5 2.2.11.f, 2.4.11.B, 2.5.11.B, 2.6.11.B, 2.6.11.H Lesson Essential Question(s): How do you perform a z-test for the difference between two population proportions? (A) S.PM.7, S.IC.8, S.ES.5 Vocabulary: Page 1 of 2 Susquenita Curriculum Course: .PACC Probability and Statistics Curriculum: Topic: 08 Hypothesis Testing with Two Samples Subject(s): Math PENNSYLVANIA Date: March 12, 2014 ET Days: 15 Grade(s): 10th, 11th, 12th Additional Information: graphing calculator computer software Attached Document(s): Page 2 of 2 Susquenita Curriculum Course: .PACC Probability and Statistics Curriculum: Vocab Report for Topic: 08 Hypothesis Testing with Two Samples Subject(s): Math PENNSYLVANIA Date: March 12, 2014 ET Days: 15 Grade(s): 10th, 11th, 12th Concept: Large Independent Samples independent 2-sample z-test - Concept: Small Independent Samples pooled - Concept: Dependent Sampels dependent paired samples - Page 1 of 1