# Probability and Statistics

Instructional Time: 20 days

Big Ideas:

7.5.1: Investigating chance and developing probability models (7.SP.C.5-8)

• What is chance?
• Using a Probability Scale

7.5.2: Sampling to draw inferences about a population (7.SP.A.1-2)

• Measures of central tendency and range
• Mean, median, mode, and range
• Measures of variation
• Upper and lower quartiles
• Box-and-whisker plots

Mid Unit Assessment – Probability

7.5.3: Comparing populations (7.SP.B.3-4)

### Unit Overview

Topic A: Calculating and Interpreting Probabilities

• Lesson 1: Chance Experiments
• Lesson 2: Estimating Probabilities by Collecting Data
• Lesson 3: Chance Experiments with Equally Likely Outcomes
• Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
• Lesson 5: Chance Experiments with Outcomes that Are Not Equally Likely
• Lesson 6: Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities
• Lesson 7: Calculating Probabilities of Compound Events

Topic B: Estimating Probabilities

• Lesson 8: The Difference Between Theoretical Probabilities and Estimated Probabilities
• Lesson 9: Comparing Estimated Probabilities to Probabilities Predicted by a Model
• Lessons 10–11: Using Simulation to Estimate a Probability
• Lesson 12: Using Probability to Make Decisions

Mid-Module Assessment

• Topics A through B (assessment 1 day)

Topic C: Random Sampling and Estimated Population Characteristics

• Lesson 13: Populations, Samples, and Generalizing from a Sample to a Population
• Lesson 14: Selecting a Sample
• Lesson 15: Random Sampling
• Lesson 16: Methods for Selecting a Random Sample
• Lesson 17: Sampling Variability
• Lesson 18: Estimating a Population Mean
• Lesson 19: Understanding Variability when Estimating a Population Proportion
• Lesson 20: Estimating a Population Proportion

Topic D: Comparing Populations

• Lesson 21: Why Worry About Sampling Variability?
• Lessons 22–23: Using Sample Data to Decide if Two Population Means Are Different

End-of-Module Assessment