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Scope and sequence · Math

Statistics

Learning from data in a world of variation and chance

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What to cover

48 of 63 lessons are MUST COVER. They are tested on the unit tests and exams, or are skills the SAT/ACT relies on. OPTIONAL lessons are enrichment. Do them if time allows. The course is complete when the MUST COVER lessons are done.

Unit 1: Exploring Data: Variables and Graphs

  • MUST COVER 1.1 What Is Statistics? · exam
  • MUST COVER 1.2 Displaying Categorical Data · exam
  • MUST COVER 1.3 Two-Way Tables · exam
  • OPTIONAL 1.4 Displaying Quantitative Data
  • MUST COVER 1.5 Describing a Distribution · exam

Unit 2: Describing Data with Numbers

  • MUST COVER 2.1 Measures of Center · exam
  • MUST COVER 2.2 Quartiles, the Five-Number Summary and IQR · exam
  • MUST COVER 2.3 Boxplots and Outliers · exam
  • MUST COVER 2.4 Standard Deviation · exam
  • OPTIONAL 2.5 Comparing Distributions
  • MUST COVER 2.6 Transforming Data · exam

Unit 3: Position and the Normal Distribution

  • MUST COVER 3.1 Percentiles and z-Scores · exam, SAT/ACT
  • MUST COVER 3.2 Density Curves · exam
  • MUST COVER 3.3 Normal Distributions and the 68–95–99.7 Rule · exam
  • MUST COVER 3.4 Finding Normal Proportions · exam, SAT/ACT
  • MUST COVER 3.5 Finding Values from Normal Proportions · exam, SAT/ACT
  • OPTIONAL 3.6 Assessing Normality

Unit 4: Scatterplots, Correlation and Regression

  • OPTIONAL 4.1 Scatterplots and Association
  • MUST COVER 4.2 The Correlation Coefficient · exam
  • MUST COVER 4.3 The Least-Squares Regression Line · exam
  • MUST COVER 4.4 Residuals and r² · exam
  • MUST COVER 4.5 Cautions about Regression and Causation · exam

Unit 5: Collecting Data: Samples and Experiments

  • MUST COVER 5.1 Populations, Samples and Bias · exam
  • MUST COVER 5.2 Random Sampling Methods · exam
  • MUST COVER 5.3 Problems with Surveys · exam
  • OPTIONAL 5.4 Observational Studies and Experiments
  • MUST COVER 5.5 Designing Experiments · exam
  • MUST COVER 5.6 Blocking, Matched Pairs and the Scope of Conclusions · exam

Unit 6: Probability

  • OPTIONAL 6.1 Randomness and Simulation
  • MUST COVER 6.2 Probability Rules · exam, SAT/ACT
  • MUST COVER 6.3 Conditional Probability · exam, SAT/ACT
  • MUST COVER 6.4 Independence and the Multiplication Rule · exam
  • MUST COVER 6.5 Tree Diagrams · exam
  • MUST COVER 6.6 Counting: Permutations and Combinations · exam

Unit 7: Random Variables

  • OPTIONAL 7.1 Discrete Random Variables
  • MUST COVER 7.2 Expected Value and Standard Deviation · exam
  • MUST COVER 7.3 Transforming and Combining Random Variables · exam
  • MUST COVER 7.4 Normal Random Variables and Their Sums · exam

Unit 8: Binomial and Geometric Distributions

  • MUST COVER 8.1 Binomial Settings and the Binomial Formula · exam
  • MUST COVER 8.2 Binomial Mean, Standard Deviation and Cumulative Probabilities · exam, SAT/ACT
  • OPTIONAL 8.3 The Normal Approximation to the Binomial
  • MUST COVER 8.4 Geometric Distributions · exam

Unit 9: Sampling Distributions

  • OPTIONAL 9.1 Parameters, Statistics and Sampling Variability
  • MUST COVER 9.2 The Sampling Distribution of a Sample Proportion · exam, SAT/ACT
  • MUST COVER 9.3 The Sampling Distribution of a Sample Mean · exam, SAT/ACT
  • OPTIONAL 9.4 The Central Limit Theorem

Unit 10: Confidence Intervals

  • OPTIONAL 10.1 The Idea of a Confidence Interval
  • MUST COVER 10.2 Estimating a Population Proportion · exam, SAT/ACT
  • OPTIONAL 10.3 The t Distributions
  • MUST COVER 10.4 Estimating a Population Mean · exam, SAT/ACT
  • MUST COVER 10.5 Margin of Error and Sample Size · exam

Unit 11: Significance Tests

  • MUST COVER 11.1 The Logic of Significance Tests · exam
  • MUST COVER 11.2 Testing a Claim about a Proportion · exam, SAT/ACT
  • MUST COVER 11.3 Testing a Claim about a Mean · exam, SAT/ACT
  • MUST COVER 11.4 Type I and Type II Errors and Power · exam
  • OPTIONAL 11.5 Tests and Intervals Together

Unit 12: Comparing Two Groups

  • MUST COVER 12.1 Comparing Two Proportions · exam, SAT/ACT
  • MUST COVER 12.2 Comparing Two Means · exam, SAT/ACT
  • MUST COVER 12.3 Paired Data · exam
  • OPTIONAL 12.4 Choosing the Right Procedure

Unit 13: Chi-Square Tests

  • MUST COVER 13.1 The Chi-Square Goodness-of-Fit Test · exam
  • MUST COVER 13.2 Chi-Square Tests for Two-Way Tables · exam
  • OPTIONAL 13.3 Thinking Wisely about Statistics

36-week pacing calendar

From the course’s own 32-week pacing guide, with catch-up and review weeks added to fill a 36-week (180-day) year.

WeekPlanDoneNotes
Wk 1Day 1: Lesson 1.1 What Is Statistics?
Day 2: Lesson 1.2 Displaying Categorical Data (day 1 of 2)
Day 3: Lesson 1.2 Displaying Categorical Data (day 2 of 2)
Day 4: Lesson 1.3 Two-Way Tables (day 1 of 2)
Day 5: Lesson 1.3 Two-Way Tables (day 2 of 2)
Wk 2Day 1: Lesson 1.4 Displaying Quantitative Data (day 1 of 2)
Day 2: Lesson 1.4 Displaying Quantitative Data (day 2 of 2)
Day 3: Lesson 1.5 Describing a Distribution (day 1 of 2)
Day 4: Lesson 1.5 Describing a Distribution (day 2 of 2)
Day 5: Unit 1 review (mastery checklist and missed problems)
Wk 3Day 1: Unit 1 test
Day 2: Lesson 2.1 Measures of Center (day 1 of 2)
Day 3: Lesson 2.1 Measures of Center (day 2 of 2)
Day 4: Lesson 2.2 Quartiles, the Five-Number Summary and IQR (day 1 of 2)
Day 5: Lesson 2.2 Quartiles, the Five-Number Summary and IQR (day 2 of 2)
Wk 4Day 1: Lesson 2.3 Boxplots and Outliers (day 1 of 2)
Day 2: Lesson 2.3 Boxplots and Outliers (day 2 of 2)
Day 3: Lesson 2.4 Standard Deviation (day 1 of 2)
Day 4: Lesson 2.4 Standard Deviation (day 2 of 2)
Day 5: Lesson 2.5 Comparing Distributions (day 1 of 2)
Wk 5Day 1: Lesson 2.5 Comparing Distributions (day 2 of 2)
Day 2: Lesson 2.6 Transforming Data (day 1 of 2)
Day 3: Lesson 2.6 Transforming Data (day 2 of 2)
Day 4: Unit 2 review (mastery checklist and missed problems)
Day 5: Unit 2 test
Wk 6Day 1: Lesson 3.1 Percentiles and z-Scores (day 1 of 2)
Day 2: Lesson 3.1 Percentiles and z-Scores (day 2 of 2)
Day 3: Lesson 3.2 Density Curves (day 1 of 2)
Day 4: Lesson 3.2 Density Curves (day 2 of 2)
Day 5: Lesson 3.3 Normal Distributions and the 68–95–99.7 Rule (day 1 of 2)
Wk 7Day 1: Lesson 3.3 Normal Distributions and the 68–95–99.7 Rule (day 2 of 2)
Day 2: Lesson 3.4 Finding Normal Proportions (day 1 of 2)
Day 3: Lesson 3.4 Finding Normal Proportions (day 2 of 2)
Day 4: Lesson 3.5 Finding Values from Normal Proportions (day 1 of 2)
Day 5: Lesson 3.5 Finding Values from Normal Proportions (day 2 of 2)
Wk 8Day 1: Lesson 3.6 Assessing Normality (day 1 of 2)
Day 2: Lesson 3.6 Assessing Normality (day 2 of 2)
Day 3: Unit 3 review (mastery checklist and missed problems)
Day 4: Unit 3 test
Day 5: Lesson 4.1 Scatterplots and Association (day 1 of 2)
Wk 9Day 1: Lesson 4.1 Scatterplots and Association (day 2 of 2)
Day 2: Lesson 4.2 The Correlation Coefficient (day 1 of 2)
Day 3: Lesson 4.2 The Correlation Coefficient (day 2 of 2)
Day 4: Lesson 4.3 The Least-Squares Regression Line (day 1 of 2)
Day 5: Lesson 4.3 The Least-Squares Regression Line (day 2 of 2)
Wk 10Day 1: Lesson 4.4 Residuals and r² (day 1 of 2)
Day 2: Lesson 4.4 Residuals and r² (day 2 of 2)
Day 3: Lesson 4.5 Cautions about Regression and Causation (day 1 of 2)
Day 4: Lesson 4.5 Cautions about Regression and Causation (day 2 of 2)
Day 5: Unit 4 review (mastery checklist and missed problems)
Wk 11Day 1: Unit 4 test
Day 2: Lesson 5.1 Populations, Samples and Bias (day 1 of 2)
Day 3: Lesson 5.1 Populations, Samples and Bias (day 2 of 2)
Day 4: Lesson 5.2 Random Sampling Methods (day 1 of 2)
Day 5: Lesson 5.2 Random Sampling Methods (day 2 of 2)
Wk 12Day 1: Lesson 5.3 Problems with Surveys (day 1 of 2)
Day 2: Lesson 5.3 Problems with Surveys (day 2 of 2)
Day 3: Lesson 5.4 Observational Studies and Experiments (day 1 of 2)
Day 4: Lesson 5.4 Observational Studies and Experiments (day 2 of 2)
Day 5: Lesson 5.5 Designing Experiments (day 1 of 2)
Wk 13Day 1: Lesson 5.5 Designing Experiments (day 2 of 2)
Day 2: Lesson 5.6 Blocking, Matched Pairs and the Scope of Conclusions (day 1 of 2)
Day 3: Lesson 5.6 Blocking, Matched Pairs and the Scope of Conclusions (day 2 of 2)
Day 4: Unit 5 review (mastery checklist and missed problems)
Day 5: Unit 5 test
Wk 14Day 1: Statistics project, part 1: choose a question and plan the study
Day 2: Statistics project, part 1: begin collecting data
Day 3: Lesson 6.1 Randomness and Simulation (day 1 of 2)
Day 4: Lesson 6.1 Randomness and Simulation (day 2 of 2)
Day 5: Lesson 6.2 Probability Rules (day 1 of 2)
Wk 15Day 1: Lesson 6.2 Probability Rules (day 2 of 2)
Day 2: Lesson 6.3 Conditional Probability (day 1 of 2)
Day 3: Lesson 6.3 Conditional Probability (day 2 of 2)
Day 4: Lesson 6.4 Independence and the Multiplication Rule (day 1 of 2)
Day 5: Lesson 6.4 Independence and the Multiplication Rule (day 2 of 2)
Wk 16Day 1: Lesson 6.5 Tree Diagrams (day 1 of 2)
Day 2: Lesson 6.5 Tree Diagrams (day 2 of 2)
Day 3: Lesson 6.6 Counting: Permutations and Combinations (day 1 of 2)
Day 4: Lesson 6.6 Counting: Permutations and Combinations (day 2 of 2)
Day 5: Unit 6 review (mastery checklist and missed problems)
Wk 17Catch-up and review week (no new lessons)
Wk 18Day 1: Unit 6 test
Day 2: Midterm review (Units 1–6)
Day 3: Midterm exam (Units 1–6)
Day 4: Lesson 7.1 Discrete Random Variables (day 1 of 2)
Day 5: Lesson 7.1 Discrete Random Variables (day 2 of 2)
Wk 19Day 1: Lesson 7.2 Expected Value and Standard Deviation (day 1 of 2)
Day 2: Lesson 7.2 Expected Value and Standard Deviation (day 2 of 2)
Day 3: Lesson 7.3 Transforming and Combining Random Variables (day 1 of 2)
Day 4: Lesson 7.3 Transforming and Combining Random Variables (day 2 of 2)
Day 5: Lesson 7.4 Normal Random Variables and Their Sums (day 1 of 2)
Wk 20Day 1: Lesson 7.4 Normal Random Variables and Their Sums (day 2 of 2)
Day 2: Unit 7 review (mastery checklist and missed problems)
Day 3: Unit 7 test
Day 4: Lesson 8.1 Binomial Settings and the Binomial Formula (day 1 of 2)
Day 5: Lesson 8.1 Binomial Settings and the Binomial Formula (day 2 of 2)
Wk 21Day 1: Lesson 8.2 Binomial Mean, Standard Deviation and Cumulative Probabilities (day 1 of 2)
Day 2: Lesson 8.2 Binomial Mean, Standard Deviation and Cumulative Probabilities (day 2 of 2)
Day 3: Lesson 8.3 The Normal Approximation to the Binomial (day 1 of 2)
Day 4: Lesson 8.3 The Normal Approximation to the Binomial (day 2 of 2)
Day 5: Lesson 8.4 Geometric Distributions (day 1 of 2)
Wk 22Day 1: Lesson 8.4 Geometric Distributions (day 2 of 2)
Day 2: Unit 8 review (mastery checklist and missed problems)
Day 3: Unit 8 test
Day 4: Lesson 9.1 Parameters, Statistics and Sampling Variability (day 1 of 2)
Day 5: Lesson 9.1 Parameters, Statistics and Sampling Variability (day 2 of 2)
Wk 23Day 1: Lesson 9.2 The Sampling Distribution of a Sample Proportion (day 1 of 2)
Day 2: Lesson 9.2 The Sampling Distribution of a Sample Proportion (day 2 of 2)
Day 3: Lesson 9.3 The Sampling Distribution of a Sample Mean (day 1 of 2)
Day 4: Lesson 9.3 The Sampling Distribution of a Sample Mean (day 2 of 2)
Day 5: Lesson 9.4 The Central Limit Theorem (day 1 of 2)
Wk 24Day 1: Lesson 9.4 The Central Limit Theorem (day 2 of 2)
Day 2: Unit 9 review (mastery checklist and missed problems)
Day 3: Unit 9 test
Day 4: Lesson 10.1 The Idea of a Confidence Interval (day 1 of 2)
Day 5: Lesson 10.1 The Idea of a Confidence Interval (day 2 of 2)
Wk 25Day 1: Lesson 10.2 Estimating a Population Proportion (day 1 of 2)
Day 2: Lesson 10.2 Estimating a Population Proportion (day 2 of 2)
Day 3: Lesson 10.3 The t Distributions (day 1 of 2)
Day 4: Lesson 10.3 The t Distributions (day 2 of 2)
Day 5: Lesson 10.4 Estimating a Population Mean (day 1 of 2)
Wk 26Day 1: Lesson 10.4 Estimating a Population Mean (day 2 of 2)
Day 2: Lesson 10.5 Margin of Error and Sample Size (day 1 of 2)
Day 3: Lesson 10.5 Margin of Error and Sample Size (day 2 of 2)
Day 4: Unit 10 review (mastery checklist and missed problems)
Day 5: Unit 10 test
Wk 27Day 1: Lesson 11.1 The Logic of Significance Tests (day 1 of 2)
Day 2: Lesson 11.1 The Logic of Significance Tests (day 2 of 2)
Day 3: Lesson 11.2 Testing a Claim about a Proportion (day 1 of 2)
Day 4: Lesson 11.2 Testing a Claim about a Proportion (day 2 of 2)
Day 5: Lesson 11.3 Testing a Claim about a Mean (day 1 of 2)
Wk 28Day 1: Lesson 11.3 Testing a Claim about a Mean (day 2 of 2)
Day 2: Lesson 11.4 Type I and Type II Errors and Power (day 1 of 2)
Day 3: Lesson 11.4 Type I and Type II Errors and Power (day 2 of 2)
Day 4: Lesson 11.5 Tests and Intervals Together (day 1 of 2)
Day 5: Lesson 11.5 Tests and Intervals Together (day 2 of 2)
Wk 29Day 1: Unit 11 review (mastery checklist and missed problems)
Day 2: Unit 11 test
Day 3: Lesson 12.1 Comparing Two Proportions (day 1 of 2)
Day 4: Lesson 12.1 Comparing Two Proportions (day 2 of 2)
Day 5: Lesson 12.2 Comparing Two Means (day 1 of 2)
Wk 30Day 1: Lesson 12.2 Comparing Two Means (day 2 of 2)
Day 2: Lesson 12.3 Paired Data (day 1 of 2)
Day 3: Lesson 12.3 Paired Data (day 2 of 2)
Day 4: Lesson 12.4 Choosing the Right Procedure (day 1 of 2)
Day 5: Lesson 12.4 Choosing the Right Procedure (day 2 of 2)
Wk 31Day 1: Unit 12 review (mastery checklist and missed problems)
Day 2: Unit 12 test
Day 3: Lesson 13.1 The Chi-Square Goodness-of-Fit Test (day 1 of 2)
Day 4: Lesson 13.1 The Chi-Square Goodness-of-Fit Test (day 2 of 2)
Day 5: Lesson 13.2 Chi-Square Tests for Two-Way Tables (day 1 of 2)
Wk 32Day 1: Lesson 13.2 Chi-Square Tests for Two-Way Tables (day 2 of 2)
Day 2: Lesson 13.3 Thinking Wisely about Statistics
Day 3: Unit 13 review (mastery checklist and missed problems)
Day 4: Unit 13 test
Day 5: Statistics project, part 2: organize the data and make graphs
Wk 33Day 1: Statistics project, part 2: analyze (summaries, and an interval or test where it fits)
Day 2: Statistics project, part 2: write and present the report
Day 3: Final review (Units 1–6)
Day 4: Final review (Units 7–13)
Day 5: Final exam (Units 1–13)
Wk 34Catch-up week: finish any MUST COVER lesson not yet done
Wk 35Catch-up week: finish any MUST COVER lesson not yet done
Wk 36Year-end review, portfolio and records

Grading: Daily practice sets 15%, Unit tests 45%, Statistics project 10%, Midterm exam 15%, Final exam 15%. Scale: A 90–100, B 80–89, C 70–79, D 60–69, below 60 redo