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**