math-g7-m5-teacher-materials (2).pdf - New York State Common Core 7 GRADE Mathematics Curriculum GRADE 7 \u2022 MODULE 5 Table of Contents1 Statistics and

math-g7-m5-teacher-materials (2).pdf - New York State...

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New York State Common Core 7 GRA D E Mathematics Curriculum GRADE 7 • MODULE 5 Table of Contents 1 Statistics and Probability Module Overview .................................................................................................................................................. 3 Topic A: Calculating and Interpreting Probabilities ( 7.SP.C.5 , 7.SP.C.6 , 7.SP.C.7 , 7.SP.C.8a , 7.SP.C.8b ) ............. 9 Lesson 1: Chance Experiments ............................................................................................................... 11 Lesson 2: Estimating Probabilities by Collecting Data ............................................................................ 22 Lesson 3: Chance Experiments with Equally Likely Outcomes ............................................................... 33 Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes ................. 42 Lesson 5: Chance Experiments with Outcomes That Are Not Equally Likely ......................................... 53 Lesson 6: Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities ............... 63 Lesson 7: Calculating Probabilities of Compound Events ....................................................................... 72 Topic B: Estimating Probabilities ( 7.SP.C.6 , 7.SP.C.7 , 7.SP.C.8c ) ........................................................................ 83 Lesson 8: The Difference Between Theoretical Probabilities and Estimated Probabilities .................... 85 Lesson 9: Comparing Estimated Probabilities to Probabilities Predicted by a Model ........................... 95 Lessons 10–11: Conducting a Simulation to Estimate the Probability of an Event .............................. 100 Lesson 12: Applying Probability to Make Informed Decisions ............................................................. 121 Mid-Module Assessment and Rubric ................................................................................................................ 130 Topics A through B (assessment 1 day) Topic C: Random Sampling and Estimating Population Characteristics ( 7.SP.A.1 , 7.SP.A.2 ) ........................... 143 Lesson 13: Populations, Samples, and Generalizing from a Sample to a Population ........................... 145 Lesson 14: Selecting a Sample .............................................................................................................. 156 Lesson 15: Random Sampling ............................................................................................................... 166 Lesson 16: Methods for Selecting a Random Sample .......................................................................... 179 Lesson 17: Sampling Variability ............................................................................................................ 190 Lesson 18: Sampling Variability and the Effect of Sample Size ............................................................ 203 Lesson 19: Understanding Variability When Estimating a Population Proportion ............................... 211 1 Each lesson is ONE day, and ONE day is considered a 45-minute period. © 2015 Great Minds eureka-math.org Module 5 : Statistics and Probability This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. G7-M5-TE-1.3.0-10.2015 1
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7 •5 Module Overview NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 20: Estimating a Population Proportion ................................................................................... 221 Topic D: Comparing Populations ( 7.SP.B.3 , 7.SP.B.4 ) ....................................................................................... 236 Lesson 21: Why Worry About Sampling Variability? ............................................................................ 237 Lessons 22–23: Using Sample Data to Compare the Means of Two or More Populations .................. 250 End-of-Module Assessment and Rubric ............................................................................................................ 279 Topics A through D (assessment 1 day) © 2015 Great Minds eureka-math.org Module 5 : Statistics and Probability This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. G7-M5-TE-1.3.0-10.2015 2
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7 •5 Module Overview NYS COMMON CORE MATHEMATICS CURRICULUM Grade 7 Module 5 Statistics and Probability OVERVIEW In this module, students begin their study of probability, learning how to interpret probabilities and how to compute probabilities in simple settings. They also learn how to estimate probabilities empirically. The concept of probability provides a foundation for the thinking required to make inferential reasoning that is developed in the second half of this module. Additionally, students build on their knowledge of data
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