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