• AP Statistics Syllabus

2018-2019

This course provides instruction in each of the following four broad conceptual themes outlined in the Course Description with appropriate emphasis on each:

• Sampling and experimentation
• Exploring data
• Anticipating patterns
• Statistical inference

Activities in the sections below will satisfy course requirements by enabling students to do the following:

• Draw connections between all aspects of the statistical process, including design, analysis, and conclusions – This will be reinforced throughout the course by referring to prior knowledge from earlier chapters and connecting it to the current topic.  Several examples of this include connecting the concept of the normal distribution to its application in sampling distributions and inference, connecting the concept of experimental design to inference when discussing matched pairs or tests using the Chi-Squared statistic, and connecting the concept of probability to inference when discussing the p-value for a hypothesis test.  This is not an exhaustive list as many of the topics in the course naturally reinforce one another.  Aside from class discussions, the students will also be required to draw connections from all aspects of the statistical process when working on projects, particularly the final project of the course.  These projects are discussed in more detail at the end of the syllabus.
• Communicate methods, results, and interpretations using the vocabulary of statistics – Students will be required to write frequently and will be expected to use appropriate statistical terminology.  Students will be expected to write in complete sentences to communicate statistics concepts on homework assignments, tests, and projects.  Students will also be required to present at least one of the required projects to the class and present and discuss their results using appropriate statistical terminology.
• Use graphing calculators and computers to enhance the development of statistical understanding through exploring and analyzing data, assessing models, and performing simulations – Students will use the graphing calculator throughout the course once concepts have been taught and discussed.  Students will be expected to set up problems using the concepts from class and then use the calculator as a tool to solve what they have set up.  The calculator will also be used to explore data in class as concepts are developed and to do simulations.  Students will constantly use calculators to graph data when analyzing it and when checking conditions for inference.  Students will also be frequently exposed to computer output, particularly in the form of summary statistics for a data set and for regression analysis.  Students will be expected to interpret computer output for a data set and draw conclusions about that data based on the computer output on homework assignments, tests, and projects.
• The hours are based on a normal schedule. For block schedule, each day is ½ of a day.

Unit 1 – Gathering Data (TOPIC II: Sampling and Experimentation: Planning and conducting a study)

Weeks 1-3

 Lesson Set Title Number of Days (45-minute class period) Critical Content Resources Assignments TI 84+ Calculator Functions (TI Tips page in textbook) Unit 1: Gathering Data (Part III in textbook)   Chapter 10   Simulation 2 days ·         Random ·         Generating Random numbers ·         Response Variable ·         Trial ·         Outcome ·         Event BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 10 Pages 276-279 25, 26, 28, 30, 31, 32, 39   Due at end of chapter randInt page 273-274 Unit 1: Gathering Data (Part III in textbook)   Chapter 11   Sampling 2 days ·         Population ·         Population Parameter ·         Sample ·         Sample Statistic ·         Census ·         Sample Survey ·         Simple Random Sample ·         Stratified Random Sample ·         Cluster Sample ·         System Sample BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 11 Pages 300-304 7, 8, 17, 18, 24, 30, 32, 35   Due at end of chapter Unit 1: Gathering Data (Part III in textbook)   Chapter 11   Bias 2 days ·         Response Bias ·         Voluntary Response Bias ·         Nonresponse Bias ·         Undercoverage ·         Convenience Sample BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 1: Gathering Data (Part III in textbook)   Chapter 12   Types of Studies 1 day ·         Observational Study ·         Experiment ·         Generalizability BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 12 Pages 325-330 7, 9, 19, 21, 22, 32, 36, 40, 42, 46, 47   Due at end of chapter Unit 1: Gathering Data (Part III in textbook)   Chapter 12   Parts of an Experiment 1 day ·         Explanatory Variable ·         Response Variable ·         Factor ·         Level ·         Treatment ·         Experimental Unit ·         Control Group ·         Blinding ·         Placebo ·         Placebo Effect BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 1: Gathering Data (Part III in textbook)   Chapter 12   Principles of Experimental Design 1 day ·         Direct Control ·         Random Assignment ·         Replication ·         Confounding BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 1: Gathering Data (Part III in textbook)   Chapter 12   Types of Experimental Designs 2 days ·         Completely Randomized Design ·         Randomized Block Design ·         Matched Pairs Design ·         Confounding BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 1: Gathering Data   Extend, Review, and Reteach 1 day After Party 2.1 & 2.2 Unit 1: Gathering Data   Assessment 1 day Released AP FRQs 2002 #2, 2006B #5, 2008 #2, 2010B #2, 2011 #3, 2011B #2

Unit 2 – Exploring and Understanding Data (TOPIC I: Exploring Data: Describing patterns and departures from patterns)

Weeks 4-7

 Lesson Set Title Number of Days (45-minute class period) Critical Content Resources Assignments TI 84+ Calculator Functions (TI Tips page in textbook) Unit 2: Exploring and Understanding Data (Part I in textbook)   Chapters 1-2   Categorical Data 2 days ·         Categorical Data ·         Quantitative Data ·         Frequency Tables ·         Bar Charts ·         Segmented Bar Chart ·         Two-way Table ·         Distribution ·         Conditional Distribution ·         Marginal Distribution ·         Independence BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 1 Pages 11 17   Chapter 2 Pages 33-42 24, 26, 28, 33, 40   Due at end of chapter Lists (data entry) Page 8 Unit 2: Exploring and Understanding Data (Part I in textbook)   Chapter 3   Displays of Quantitative Data 1 day ·         Distribution ·         Histograms ·         Stem-and-leaf Plot ·         Dotplot BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 3 Pages 73-82 7, 8, 12, 13, 18, 19, 20, 22, 31, 39, 40, 41, 47, 58   Due at end of chapter Histograms Page 45 Unit 2: Exploring and Understanding Data (Part I in textbook)   Chapter 3   CUSS, BS, & POO – Describing Quantitative Distributions 2 days ·         Center ·         Unusual Features ·         Spread ·         Shape ·         Clusters & Gaps ·         Outliers ·         Mode ·         Unimodal ·         Bimodal ·         Uniform ·         Symmetric ·         Skewed to the Larger Numbers ·         Skewed to the Smaller Numbers BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 2: Exploring and Understanding Data (Part I in textbook)   Chapter 3   Describing Quantitative Data 2 days ·         Five-number Summary ·         Boxplot ·         Minimum ·         Quartiles ·         Median ·         Maximum ·         Range ·         Interquartile Range ·         Outliers ·         Percentile BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Boxplots Page 58   1-Var Stats Page 65 Unit 2: Exploring and Understanding Data (Part I in textbook)   Chapter 3   Describing Quantitative Data 2 days ·         Mean ·         Variance ·         Standard Deviation ·         Resistant BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide 1-Var Stats Page 65 Unit 2: Exploring and Understanding Data (Part I in textbook)   Chapter 3   Applications of Data Analysis 1 day BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 2: Exploring and Understanding Data (Part I in textbook)   Extend, Review, and Reteach 1 day Unit 2: Exploring and Understanding Data (Part I in textbook)   Chapter 4   Comparing Distributions 2 days ·         Back-to-back Stemplot ·         Back-to-back Histogram ·         Parallel Boxplots ·         Timeplots ·         Comparative Language BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 4 Pages 96-106 6, 7, 12, 20, 23, 29, 30   Due at end of chapter Parallel Boxplots Page 88 Unit 2: Exploring and Understanding Data (Part I in textbook)   Chapter 5   The Normal Model 1 day ·         Parameter ·         Statistic ·         Normal Model ·         68-95-99.7 Rule (Empirical Rule) BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 5 Pages 131-137 7, 11, 12, 26, 28, 34, 40, 42, 44, 45, 46   Due at end of chapter Unit 2: Exploring and Understanding Data (Part I in textbook)   Chapter 5   z-score Calculations 3 days ·         Standardized Value ·         z-score ·         Percentile ·         Nearly Normal Condition BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Normalcdf Page 120   InvNorm Page 122 Unit 2: Exploring and Understanding Data (Part I in textbook)   Chapter 5   Transformations 1 day ·         Shifting ·         Rescaling BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 2: Exploring and Understanding Data (Part I in textbook)   Extend, Review, and Reteach 1 day After Party 1.1 and 1.2 Unit 2: Exploring and Understanding Data (Part I in textbook)   Assessment 1 day Released AP FRQs 2002B #5, 2005 #1, 2006 # 1, 2006B #1, 2007B #1, 2008 #1, 2011 #1, 2011B #1

Unit 3 – Probability (TOPIC III: Anticipating Patterns: Exploring random phenomena using probability and simulation)

Weeks 11-15

 Lesson Set Title Number of Days (45-minute class period) Critical Content Resources Assignments TI 84+ Calculator Functions (TI Tips page in textbook) Unit 3: Randomness and Probability (Part IV in textbook)   Chapter 13   Probability Components 1 day ·         Sample Space ·         Trial ·         Outcome ·         Event ·         Law of Large Numbers ·         Probability BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 13 Pages 357-362 13, 36, 38, 40, 42, 44   Due at end of chapter Unit 3: Randomness and Probability (Part IV in textbook)   Chapter 13   Basic Probability 1 day ·         Independence ·         Theoretical Probability ·         Experimental Probability ·         Complement Rule ·         Disjoint (Mutually Exclusive) ·         Addition Rule ·         Multiplication Rule BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 3: Randomness and Probability (Part IV in textbook)   Chapter 14   Probability Rules & Diagrams 1 1 day ·         General Addition Rule ·         Venn Diagrams BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 14 Pages 383-388 12, 14, 16, 18, 22, 30, 32, 34, 36, 43, 44, 45, 46, 53   Due at end of chapter Unit 3: Randomness and Probability (Part IV in textbook)   Chapter 14   Probability Rules & Diagrams 2 2 days ·         Conditional Probability ·         Two-way Tables ·         Verifying Independence BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 3: Randomness and Probability (Part IV in textbook)   Chapter 14   Probability Rules & Diagrams 3 2 days ·         Tree Diagrams ·         Bayes’s Rule BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 3: Randomness and Probability (Part IV in textbook)   Extend, Review, and Reteach 1 day Unit 3: Randomness and Probability (Part IV in textbook)   Chapter 15   Defining a Random Variable 1 day ·         Random Variable ·         Discrete Random Variable ·         Continuous Random Variable ·         Probability Model BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 15 Pages 407-412 20, 25, 26, 31, 32, 35, 37, 48, 50, 52, 54   Due at end of chapter Unit 3: Randomness and Probability (Part IV in textbook)   Chapter 15   Mean and Standard Deviation of a Random Variable 2 days ·         Expected Value (Mean) ·         Variance ·         Standard Deviation BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide 1-Var Stats Pages 394-395 Unit 3: Randomness and Probability (Part IV in textbook)   Chapter 15   Random Variable Rules 2 days ·         Linear Transformations ·         Combining Random Variables BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 3: Randomness and Probability (Part IV in textbook)   Chapter 16   Bernoulli Trials 1 day ·         Bernoulli Trials ·         10% Rule BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 16 Pages 430-433 10, 12, 16, 18, 20, 22, 25, 27, 29, 33, 38, 42, 44   Due at end of chapter Unit 3: Randomness and Probability (Part IV in textbook)   Chapter 16   Geometric Probability 1 day ·         Geometric Probability Model BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide geometpdf & geometcdf Page 418 Unit 3: Randomness and Probability (Part IV in textbook)   Chapter 16   Binomial Probability 2 days ·         Binomial Probability Model BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide binompdf & binomcdf Page 422 Unit 3: Randomness and Probability (Part IV in textbook)   Chapter 16   Normal Approximation of the Binomial 1 day ·         Binomial Probability Model ·         Success/Failure Condition for Normality ·         Statistically Significant BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 3: Randomness and Probability (Part IV in textbook)   Extend, Review, and Reteach 1 day After Party 1.3, 2.3, 2.4, 3.4, 3.5, 4.1, 4.2 Unit 3: Randomness and Probability (Part IV in textbook)   Assessment 1 day Released AP FRQs 2002B #2, 2003 #3, 2003B #2, 2004 #3, 2004 #4, 2005B #2, 2006B #3, 2008 #3, 2011B #3, 2012 #2

Unit 4 – Inference For Proportions (TOPIC IV: Statistical Inference: Estimating population parameters and testing hypotheses)

Weeks 17-22

 Lesson Set Title Number of Days (45-minute class period) Critical Content Resources Assignments TI 84+ Calculator Functions (TI Tips page in textbook) Unit 4: Inference for Proportions (Part V in textbook)   Chapter 17   Sample Distributions for Proportions 2 days ·         Sampling Distribution ·         Sampling Distribution Model ·         Sampling Variability (Sampling Error) ·         Sample Proportion BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 17 Pages 464-472 12, 14, 16, 21, 24, 26, 36, 44, 46, 60   Due at end of chapter Unit 4: Inference for Proportions (Part V in textbook)   Chapter 17   Sampling Distributions for Means 2 days ·         Sampling Distribution ·         Sampling Distribution Model ·         Sampling Variability (Sampling Error) ·         Sample Mean ·         Central Limit Theorem BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 4: Inference for Proportions (Part V in textbook)   Chapter 17   Sampling Distributions (mixed) 1 day ·         Compare and review conditions for each model BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 4: Inference for Proportions (Part V in textbook)   Chapter 18   Introduction to Confidence Intervals 1 day ·         Standard Error ·         Point Estimate ·         Unbiased Estimator ·         Confidence Interval ·         Confidence Level BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 18 Pages 489-492 2, 4, 6, 7, 8, 9, 14, 24, 27, 30, 32, 36   Due at end of chapter 1-PropZInt Page 482 Unit 4: Inference for Proportions (Part V in textbook)   Chapter 18   One-Proportion z-Interval 1 day ·         One-Proportion z-Interval ·         Conditions for a One-Proportion z-Interval ·         Critical Value ·         Margin of Error ·         Conclusion in Context BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 4: Inference for Proportions (Part V in textbook)   Chapter 18   One-Proportion z-Interval Problems 3 days ·         One-Proportion z-Interval BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 4: Inference for Proportions (Part V in textbook)   Extend, Review, Reteach 1 day Unit 4: Inference for Proportions (Part V in textbook)   Chapter 19   Introduction to Hypothesis Testing 1 day ·         Null Hypothesis ·         Alternative Hypothesis ·         One-sided (One-tailed) ·         Two-sided (Two-tailed) ·         P-Value ·         Effect Size BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 19 Pages 511-515 1, 2, 3, 4, 12, 15, 16, 21, 28, 30, 33   Due at end of chapter 1-PropZTest Page 503 Unit 4: Inference for Proportions (Part V in textbook)   Chapter 19   One-Proportion z-Test 1 day ·         One-Proportion z-Test ·         Conditions for a One-Proportion z-Test ·         Conclusions in Context ·         Linkage to Alternative Hypothesis BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 4: Inference for Proportions (Part V in textbook)   Chapter 19   One-Proportion z-Test problems 2 days ·         One-Proportion z-Test BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 4: Inference for Proportions (Part V in textbook)   Chapter 20   Inference Concepts 1 day ·         Significance Level (Alpha Level) ·         Statistically Significant ·         Relationship Between Confidence Intervals And Hypothesis Tests BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 20 Pages 535-540 4, 6, 8, 10, 12, 14, 16, 18, 19, 30, 32, 36   Due at end of chapter Unit 4: Inference for Proportions (Part V in textbook)   Chapter 20   Errors in Hypothesis Testing 2 days ·         Type I Error ·         Type II Error ·         Power ·         Effect Size BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 4: Inference for Proportions (Part V in textbook)   Chapter 21   Inference for the Difference Between Two Proportions 3 days ·         Standard Error of the Difference Between Two Proportions ·         Two-Proportion z-Interval ·         Two-Proportion z-Test ·         Pooling ·         Conditions for Inference with Two Proportions ·         Conclusions in Context BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 21 Pages 557-561 5, 8, 11, 18, 28, 31, 34   Due at end of chapter 2-PropZInt Page 547   2-PropZTest Page 552 Unit 4: Inference for Proportions (Part V in textbook)   Extend, Review, Reteach 1 day Released AP FRQs 2002 #6, 2003 #2, 2003B #6, 2004B #3, 2005 #4, 2006B #2, 2007 #3, 2009 #5, 2009B #3, 2010B #4 Unit 4: Inference for Proportions (Part V in textbook)   Assessment 1 day

Unit 5 – Inference for Means (TOPIC IV: Statistical Inference: Estimating population parameters and testing hypotheses)

Weeks 22-24

 Lesson Set Title Number of Days (45-minute class period) Critical Content Resources Assignments TI 84+ Calculator Functions (TI Tips page in textbook) Unit 5: Inference for Means (Part VI in textbook)   Chapter 22   Introduction to Inference for Means 1 day ·         Student’s t Distribution ·         Degrees of Freedom for t ·         Nearly Normal Condition BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 22 Pages 597-604 4, 5, 7, 17, 18, 28, 35, 36, 42   Due at end of chapter normalcdf, tcdf, InvT, InvNorm Page 580   T-interval Pages 585-586   T-Test Pages 589-590 Unit 5: Inference for Means (Part VI in textbook)   Chapter 22   Inference for a Single Mean 2 days ·         One-Sample t-Interval for the Mean ·         One-Sample t-Test for the Mean ·         Conditions for One-Sample t Inference ·         Conclusions in Context BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 5: Inference for Means (Part VI in textbook)   Chapter 23   Inference for the Difference Between Two Means 3 days ·         Two-Sample t Methods (Degrees of Freedom) ·         Two-Sample t-Interval ·         Two-Sample t-Test ·         Conditions for Two-Sample t Inference ·         Conclusions in Context BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 23 Pages 625-633 7, 16, 18, 24, 27, 29, 40 2-SampTInt Pages 612-613   2-SampTTest Page 617 Unit 5: Inference for Means (Part VI in textbook)   Chapter 24   Inference for Paired Data 3 days ·         Paired Data ·         Paired t-Test ·         Paired t-Interval ·         Conditions for Paired t Inference ·         Conclusions in Context BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 24 Pages 648-656 1, 2, 4, 7, 8, 24, 25, 30 T-Test Page 641   TInterval Page644 Unit 5: Inference for Means (Part VI in textbook)   Extend, Review, Reteach Released AP FRQs 2004B #4, 2005B #6, 2006 #4, 2006B #4, 2007 #4, 2008B #3, 2009 #4, 2009B #5, 2010 #3, 2011 #4 Unit 5: Inference for Means (Part VI in textbook)   Assessment After Party 3.2, 3.3

Unit 6 – Exploring Relationships Between Variables (TOPIC I: Exploring Data: Describing patterns and departures from patterns)

Weeks 8-10

 Lesson Set Title Number of Days (45-minute class period) Critical Content Resources Assignments TI 84+ Calculator Functions (TI Tips page in textbook) Unit 6: Exploring Relationships Between Variables (Part II in textbook)   Chapter 6   Association & Correlation 2 days ·         Scatterplot ·         Association ·         Form ·         Direction ·         Strength ·         Outlier ·         Response Variable ·         Explanatory Variable ·         Correlation Coefficient BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 6 Pages 167-175 3, 4, 9, 10, 15, 16, 21, 37   Due at end of chapter Scatterplots Page 154   linReg(a+bx) Page 158 Unit 6: Exploring Relationships Between Variables (Part II in textbook)   Chapter 7   The Least Squares Regression Line 4 days ·         Model ·         Linear Model ·         Predicted Value ·         Residual ·         Residual Plot ·         Least Squares Regression Line ·         Slope ·         Intercept ·         Standard Deviation of the Residuals (standard error of the LSRL) ·         Coefficient of Determination (R2) ·         Linearity assumptions BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 7 Pages 198-208 2, 4, 6, 8, 10, 11, 23, 26, 28, 30, 32, 47, 58   Due at end of chapter linReg(a+bx) Page 158   Residual plots Page 193 Unit 6: Exploring Relationships Between Variables (Part II in textbook)   Extend, Review, and Reteach 1 day Unit 6: Exploring Relationships Between Variables (Part II in textbook)   Chapter 8   Regression Wisdom 4 days ·         Residual Plot ·         Extrapolation ·         Outlier ·         Leverage ·         Influential Point BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 8 Pages 222-231 5, 6, 17, 18, 19, 20, 25, 26, 31, 37   Due at end of chapter Unit 6: Exploring Relationships Between Variables (Part II in textbook)   Chapter 9   Transformations to Achieve Linearity 4 days ·         Re-expressing data ·         Transformations to achieve linearity ·         Logarithmic transformation ·         Power transformation BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 9 Pages 247-254 1, 5, 6, 7, 9, 16, 27   Due at end of chapter Transformations Page 162 Pages 241-244 Unit 6: Exploring Relationships Between Variables (Part II in textbook)   Extend, Review, and Reteach Released AP FRQs 1998 #4, 2002 #4, 2003B #1, 2004B #1, 2005 #3, 2012 #1 Unit 6: Exploring Relationships Between Variables (Part II in textbook)   Assessment After Party 1.4, 1.5

Unit 7 – Inference where Variables are Related (TOPIC IV: Statistical Inference: Estimating population parameters and testing hypotheses)

Weeks 25-26

 Lesson Set Title Number of Days (45-minute class period) Critical Content Resources Assignments TI 84+ Calculator Functions (TI Tips page in textbook) Unit 7: Inference where Variables are Related (Part VII in textbook)   Chapter 25   Chi-Square Goodness-of-Fit Test 1 day ·         Chi-Square Model ·         Cell ·         Chi-Square Statistic ·         Chi-Square Component ·         Conditions for a Chi-Square Test ·         Chi-Square Goodness-of-Fit Test BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 25 Pages 698-705 1, 2, 4, 9, 11, 28, 30, 31, 33, 39, 41   Due at end of chapter c2GOF-Test,  c2cdf Page 680   Matrix Menu,  c2-Test Page 693 Unit 7: Inference where Variables are Related (Part VII in textbook)   Chapter 25   Chi-Square Test of Homogeneity 1 day ·         Conditions for a Chi-Square Test ·         Two-Way Table ·         Chi-Square Test of Homogeneity ·         Standardized Residual BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 7: Inference where Variables are Related (Part VII in textbook)   Chapter 25   Chi-Square Test of Independence 1 day ·         Conditions for a Chi-Square Test ·         Contingency Table ·         Chi-Square Test of Independence ·         Standardized Residual BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 7: Inference where Variables are Related (Part VII in textbook)   Chapter 25   Chi-Square Mixed Problems 2 days ·         Chi-Square Goodness-of-Fit Test ·         Chi-Square Test of Homogeneity ·         Chi-Square Test of Independence ·         Conclusions in Context BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 7: Inference where Variables are Related (Part VII in textbook)   Chapter 26   Regression Review and Introduction to Regression Inference 2 days ·         Review Critical Content from Chapters 6-8 ·         Conditions for Inference for Slope of a Least-Squares Regression Line BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Chapter 26 Pages 730-741 1, 3, 5, 7, 9, 12, 17, 19, 21, 24, 36, 43 LinRegTTest Page 721   LinRegTInt Page 722 Unit 7: Inference where Variables are Related (Part VII in textbook)   Chapter 26   t-Test for Slope 1 day ·         t-Test for Slope of a Least-Squares Regression Line ·         Conclusions in Context BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 7: Inference where Variables are Related (Part VII in textbook)   Chapter 26   t-Interval for Slope 1 day ·         t-Interval for Slope of a Least-Squares Regression Line ·         Conclusions in Context BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 7: Inference where Variables are Related (Part VII in textbook)   Chapter 26   Mixed Tests and Intervals 1 day ·         t-Test for Slope of a Least-Squares Regression Line ·         t-Interval for Slope of a Least-Squares Regression Line ·         Conclusions in Context BVD Stats: Modeling the World AP Edition, 4e textbook and teacher resource guide Unit 7: Inference where Variables are Related (Part VII in textbook)   Extend, Review, Reteach Released AP FRQs 2003 #5, 2006 #2 2006 #6, 2007 #6, 2008 #5, 2010B #5, 2010B #6, 2011 #5 Unit 7: Inference where Variables are Related (Part VII in textbook)   Assessment After Party 3.1 Review (Overall) After Party 4.3,4.4, 4.5

AP Exam Review

Weeks 27-32

During each review week, 1 class period is spent for textbook review, 2 days are spent with students completing released FRQ or MCQ problems, 1-2 is spent going over the released problems and addressing common student errors, misconceptions, test-taking strategies, calculator usage, etc.

Review For AP

• Week 1 – Review Unit 3 & Unit 7, 2013 FRQ (unsecure on AP Central)
• Week 2 – Review Unit 6, 2012 MCQ (secure document on AP Course Audit)
• Week 3 – Review Unit 5, 2014 FRQ (unsecure on AP Central)
• Week 4 – Review Unit 4, 2013 MCQ (secure document on AP Course Audit)
• Week 5 – Review Unit 2, 2015 FRQ (unsecure on AP Central)
• Week 6 – Review Unit 1, 2014 MCQ (secure document on AP Course Audit)

Final Project

Weeks 33-36

One of the main goals of the AP Statistics course is for students to draw connections between all aspects of the statistical process.  The beauty of the course is that all of the content taught throughout the year is truly interconnected; a solid understanding and communication of inference in the second semester depends upon a solid foundation in descriptive statistics, probability, and sampling in the first semester.  Aside from constantly drawing students’ attention to these connections during class, projects are extremely helpful in solidifying the connections.  Each project requires students to produce a written report that is graded using a rubric.

Our school is broken into six grading cycles, with each cycle lasting six weeks.  Each grading cycle, students are required to complete a project reinforcing the current topic and connecting it to the entire course.   While the specific details of the projects change from year to year to ensure students come up with their own unique project, the topics for the projects are the same.  The project for the first grading cycle is focused on experimental design.  This project requires students to design and implement an experiment and gather the associated data.   The project for the second grading cycle is focused on interpreting graphical displays.  This project requires the students to utilize data from the first project, create graphical displays, and analyze the data.  The project for the third grading cycle is focused on probability with connections to graphical displays and experimental design.  This project requires the students to explore a popular board game or card game and identify and explain where and how probability is utilized within that game.  The project for the fourth grading cycle is focused on analyzing quantitative data and serves as a review of first semester topics at the same time as we are starting inference in class.  This project requires the students to gather quantitative data, present it in several different graphical displays, analyze the data numerically, explain the connection between the graphical displays and the numerical interpretations, and explain their data collection methods.  The project for the fifth grading cycle is focused on hypothesis testing and error analysis with connections to graphical displays and the experimental design process.  This project requires the students to analyze a research article and discuss the author’s method of data collection, analysis of the data, and possible consequences of Type I and Type II errors in the context of the research question.  For the sixth and final grading cycle, the project encompasses the entire statistical process from design to inference.  Students are required to develop a question, gather data, organize and analyze the data, and apply inferential techniques to draw conclusions.

Resource Requirements:

This course will satisfy the following resource requirements:

• Each student will have a college-level statistics textbook for individual use, inside and outside of the classroom.
• Each student will have access to a graphing calculator with statistical capabilities.
• Each student will have access to a computer to aid in investigating and analyzing data and in exploring statistical models.

Technology Used in Course:

• TI-84 calculators  (classroom set with computer emulator/SmartView)
• District provided student HP laptop computers
• Rice Virtual Lab in Statistics (http://onlinestatbook.com/rvls.html)
• Stat Crunch (website students use for data presentation in homework assignments and projects).
• ActivStats/Data Sets (Textbook supplements)
• Microsoft Word/Excel (Homework and project assignments)

Primary Textbook:

• Bock, D., Velleman, P. & De Veaux, R. (2015). Stats: Modeling the World AP Edition 4e. New York: Pearson.

Other Resources:

• Craine III, W., Bock, D., Velleman, P. & De Veaux, R. (2015). Test Bank and Resource Guide  for Stats: Modeling the World AP Edition 4e.  New York: Pearson
• Peck, R., Olsen, C., & Devore, J. (2007).  Introduction to Statistics and Data Analysis 2e.  California: Brooks/Cole.
• College Board. AP Statistics Free Response Problems. New Jersey: College Board, 1998 forward