AP Statistics Syllabus

AP Statistics Syllabus Ms. Kelly Walsh North Charleston High School

Primary Text:  Bock, David E., Paul F. Velleman, Richard D. De Veaux, Stats: Modeling the World, 3rd ed. Pearson Education, Inc. 2010.

Supplementary Materials:  Bohan, James F. AP Statistics: Preparing for the Advanced Placement Examination. New York: AMSCO School Publications, 2000.  Mulekar, Madjuri. Cracking the AP Statistics Exam. New York, NY: Random House, Inc. 2002.  Scheaffer, Richard, Mrudulla Gnanadesikan, Ann Watkins, and Jeffrey A. Witmer, Activity-Based Statistics. NewYork, NY: Springer, 1996.  Sternstein, Martin. How To Prepare for the AP Statistics AP Exam. Hauppauge, NY: Barron’s Education Series, Inc., 2000.  Utts, Jessica M. M. and Robert F. Heckard. Mind on Statistics. 1st ed. Belmont, CA: Brooks/Cole, 2001.  Watkins, Ann E., Richard Scheaffer, and George W. Cobb. Statistics In Action: Understanding a World of Data. 1st ed. Emeryvill, CA: Key Curriculum Press, 2004.  Decisions Through Data.

Technology:  All students have access to a TI-Nspire in class, at home (will be lent out), and on the AP Exam.  Students will be required to use statistical software (JMP) to create computer-generated graphs and to analyze data.  Various java applets will be used in activities to help students understand statistical concepts.

Assessment:  Tests: Each semester will have 5-6 tests which will count 35% of the quarter average. Each test is comprised of a multiple choice section and a free response section.  Quizzes: You will be quizzed on every chapter in the textbook. This will count as 25% of your quarter grade. Quizzes may be multiple choice and/or free response.  Projects: You will complete “FRAPPYs” for each unit. These are practice free response questions from previous AP exams. These will count as 20% of your quarter grade.  Classwork: You will be expected to work hard in class and complete in class assignments. These will be 10% of your quarter grade.  Homework: Homework will be given daily. It is expected to be turned in the next day. This will make up 10% of your quarter grade. Course Outline:

Topics Assignments & Activities Assessments Unit 1 (4 weeks) Read: pp. 2-128 Exploring and Understanding Data Quizzes:  Random Variable Suggested Homework: definition Ch 2: Chapters 2, 3, 4,  Types of Variables Pg 17 #5, 7, 8, 9, 12, 16 5, 6  Description of graphs Ch 3: (center, spread, shape, Pg 38-41 #6, 7, 12, 14, 16, 22, 23, 29, 30 Tests: unusual features [gaps, Ch 4: clusters, outliers, etc.]) Pg 72-75 #4, 6, 7, 10, 12, 14, 17, 28, 30, 32 Unit 1 Test  Bar graphs Ch 5:  Segmented bar graphs Pg 95-101 #5, 7, 8, 11, 12, 15, 16, 19, 20, 21, 24, 26, 29, 31, Projects:  Pie graphs 32, 35  Stemplot Ch 6: Indian Tribe  Back-to-back stemplots Pg 129-131 #2, 3, 7, 12, 13, 15, 16, 20, 22, 24, 26, 27, 28, Project (small  Dotplots 29, 31 project) – Use  Histograms known statistics  Cumulative relative to predict frequency plot Activities: identity of  Time plots unknown Indian  Boxplots  Distribution Shapes Activity – Gather data to tribe.  Parallel boxplots explore the shapes of various distributions  5-number summary  Mean& Variance Activity – explore the linear (minimum, maximum, Q1, transformations of random variables and Q3, median) sums/differences of independent random  z-scores variables  Variance  Comparing & Matching Graphs Activity – adapted  Empirical rule from Activity-Based Statistics.

Teacher Generated Worksheets:  Mean & Variance Worksheet  Comparative Boxplots Worksheet Unit 2 (4 Weeks) Read: Exploring Relationships Between Quizzes: Variables pp. 146-244  Scatterplots Chapters 7, 8, 9,  Correlation Coefficient Suggested Homework: 10  Coefficient of determination Ch. 7: #1, 5, 6, 10, 12, 14, 18, 20, 23 Test:  LSRL Ch. 8: #2, 3, 7, 8, 9, 10, 18, 22, 25, 26, 31, 32, 35  Residuals & residual plot Ch. 9: #2, 9, 10, 12, 13, 20 Unit 2  Outliers & influential Ch. 10: #2, 4, 6, 7, 8, 27 points  Non-linear data Teacher-Generated Worksheets: transformations  Regression Worksheet  Logarithm Review Worksheet  Non-linear Regression Worksheet

Activities:

 Regression Activity #1 – explore what happens to LSRL & correlation coefficient when different points are added to a data set  Regression Activity #2 – investigate the importance of graphing data (adapted from Yates, Moore, & Starnes)  Matching Scatterplots Activity – adapted from Activity-Based Statistics  Internet Activity – explore various aspects of regression using the following applets:  http://www.stat.uiuc.edu/~stat100/ java/GCApplet/GCAppletFrame.html  http://www.keypress.com/sketchpad/ java_gsp/squares.html  http://www.ruf.rice.edu/~lane/stat_ sim/reg_by_eye/index.html  http://www.stat.sc.edu/~west/javaht ml/Regression.html

Unit 3 (4 Weeks) Read: Gathering Data Quizzes:  Census pp. 255-316  Sampling methods: Chapters 11, 12, SRS. stratified, Suggested Homework: 13 systematic, cluster, multi-stage sampling Ch 11: #9, 10, 11, 12, 13, 14, 18 Test:  Sources of bias in Ch 12: #1, 3, 8, 11, 12, 14, 20 samples Ch 13: #6, 7, 8, 10, 23, 24, 26, 30, 32 Unit 3  Completely randomize experiment Teacher-Generated Worksheets: Project:  Randomized block design  Simulation Worksheet #1 Gummy Bear  Matched pairs  Simulation Worksheet #2 Project – design experiment  Sampling Design Worksheet a well-controlled  Observational studies  Experimental Design Worksheet experiment,  Principles of analyze data experimental design: Activities: (summary randomization, statistics), and replication & control  Jelly Blubber Colony Activity – model each write a report  Sources of bias in sampling method with computer- experiments:  Experimental design activity – design experiment generated confounding, placebo to test given items graphs effect, blinding  Population of interest & generalizability of results  Design & carry out simulations to model various events Unit 4 (5 Weeks) Read: Randomness and Probability Quizzes:  Combinatorics pp. 324-404  Probability rules for Chapter 14, 15, addition & multiplication Suggested Homework: 16, 17  Mutually exclusive events  Independent events Ch. 14: #8, 9, 11, 12, 14, 16, 21 Tests:  Law of large numbers Ch. 15: #3, 6, 8, 10, 16, 18, 23, 26, 28, 30, 32, 34, 35  Conditional probability Ch. 16: #2, 3, 5, 16, 18, 19, 21, 22, 24, 25, 27, 34, 37 Unit 4A  Contingency tables Ch. 17: #3, 5, 7, 12, 13, 14, 16, 19, 20, 29 Unit 4B Teacher-Generated Worksheets:

 Conditional Probability Worksheet  Probability Review  Combinatorics Worksheet #1  Combinatorics Worksheet #2 Unit 5 (5 weeks) Read: From the Data at Hand to the pp. 411-518 Quizzes: World at Large  Sampling Distributions ( x Suggested Homework: Chapter 18, 19,  20, 21, 22 & p ) Ch. 18: #1, 2, 9, 11, 12, 13, 17, 22, 24, 28, 30, 33  Central Limit Theorem Ch. 19: #1, 4, 7, 8, 10, 12, 14, 18, 20, 22, 25, 26, 30, 32 Tests:  Simulate sampling Ch. 20: #1, 2, 7, 8, 9, 10, 11, 13, 16, 17, 18, 21, 24 distributions Ch. 21: #3, 4, 7, 8, 9, 12, 13, 14, 15 Unit 5A  Standard error Ch. 22: #1, 2, 3, 4, 6, 9, 10, 16, 18, 21 Unit 5B  Confidence Interval for means & proportions Teacher-Generated Worksheets: Project:  Margin of error  Sampling Distribution of x Worksheet  Properties of confidence  Sampling Distribution Worksheet Choose a topic intervals  Confidence Intervals Worksheet #1 from the list  Calculation &  Confidence Intervals Worksheet #2 provided by interpretation of  Hypothesis Worksheet #1 coaches (one confidence intervals  Hypothesis Worksheet #2 aspect of their  Hypothesis statements  Hypothesis Worksheet #3 team they would  P-values  One-Sample Mixed Inference Worksheet like to have  Significance level  Error Types Worksheet analyzed).  Critical value  Power Worksheet Gather data,  Calculate & interpret  Mixed Inference Review Worksheet perform the hypothesis test analysis, & write  Type I & II Errors Activities: a report on you  Power  Sampling Distribution Activity – adapted from findings Decisions with Data - perform sampling from a (including any population to explore the relation between sample appropriate size & variance of sampling distribution graphical  Internet Activity – investigate the Central Limit displays). Theorem using www.ruf.rice.edu/~lane/stat_sim/sampling _dist/index.html  Sampling Distribution Activity – simulate sampling distribution with proportions  Proportion Activity – gather data to perform inference procedures  Confidence Interval Activity #1 – explore the effect of sample size on width of interval, etc. Unit 6 (2 weeks) Read: Learning About the World pp. 530-601 Quizzes:  Properties of t- distributions Suggested Homework: Chapter 23, 24,  1- & 2-sample t-interval & Ch. 23: #1, 7, 9, 11, 17, 19, 21, 23, 25, 27 25 t-test Ch. 24: #1, 3, 5, 7, 9, 11, 19, 21  Pooling Ch. 25: #1, 3, 4, 5, 6, 9, 11, 14, 15, 19, 20 Test:  Paired data Activities: Unit 6  Confidence Interval Activity #2 – gather data with “flying frogs”  Two-Sample Mean Activity – simulate sampling distribution difference of means & proportions  Double Stuff Oreos Activity – weigh the “white stuff” in a sample of traditional oreos and double stuff oreos and compare to decide: Is “double stuff” really double the stuff? In this activity students are required to decide how to best select a sample, gather the data, and analyze the results. It connects all areas of statistics. Unit 7 (4 weeks) Read: Quizzes: Inference When Variables are Related pp. 618-672 Chapter 26, 27  Properties of X 2 Suggested Homework: Test: distribution  Goodness-of-fit Ch. 26: #1, 3, 5, 6, 7, 9, 10, 12, 13, 15, 17, 19 Unit 7  Independence Ch. 27: #1, 3, 4, 5, 7, 9, 13, 14, 15, 21  Homogeneity  Regression model Teacher-Generated Worksheets:  Sampling distribution of  Mixed Hypothesis Worksheet #2 slopes  Mixed Hypothesis Worksheet #3  Calculate & interpret  LSRL Review Worksheet confidence interval for  Computer-Generated Output Worksheet slope of LSRL  Non-Linear Data Review Worksheet  Calculate & interpret hypothesis test for slope Activities: of LSRL  Chi-Square Activity – explore the difference between the X 2 tests AP Review (6 weeks) Tests: Review Major Topics Teacher-generated worksheets & old exam questions  Explanatory Data Analysis Mock AP Exams  Probability & Distributions  Sampling & Experimental Final Project: Design  Inference Design a study, gather data, analyze data, & write report including computer- generated results & graphs.