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