• 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

     

Last Modified on September 20, 2018