AP Statisics Syllabus Overview of AP Statistics Public High School Block Schedule (Fall/Spring) Activities are modified in the Spring semester to account for the unequal number of days before the AP exam. The attached syllabus shows only the days required for new material. The remaining days are spent on review for the AP exam. The pre-requisite for AP Statistics is Honors Algebra II or Advanced Functions and Modeling. The majority of students are juniors or seniors. Classes meet for 90 minutes every day. They generally sit in groups of 3-4. We spend a small part of the class working in a lecture format to learn new material. Afterwards, they work in groups on activities to enhance their understanding of new material. Group assignments are formed according to different learning styles of each student. Cooperative learning allows each student to show their knowledge of the subject matter. They are separated for tests and quizzes. All students use a TI-83/84 calculator. The classroom is equipped with a projector that can be used for calculator and computer display. Calculators are used extensively throughout the course for computations, investigations, and simulations. Some activities with computer applets are used throughout the course. They use the computer lab which is equipped with the program Activstats and Fathom. The library is also equipped with computers available at any point. They are exposed to problems using computer printouts from the textbook, released AP exams, and other classroom activities Throughout the course, students are assigned special problems and projects as part of a concept-oriented instruction and assessment. This allows students to make connections with other subjects and the real world. Throughout the course the need for clear communication is emphasized. Students are encouraged to find articles that report on application of statistics. These are incorporated into classroom discussion and provide many opportunities for students to pull together what they have learned up to the time of the discussion. All tests include questions that require students to communicate understanding of concepts and interpret results of computations in context using appropriate statistical language. Students have many opportunities to receive grades. They have graded homework assignments each chapter. They have quizzes after each section. There are also special problems, group activities, and projects given throughout. They are graded based on the level of input and the value of the conclusions drawn and justified. Tests include questions that require students to communicate understanding of concepts and interpret results of computations in context using appropriate statistical language. Textbook Yates, Daniel S, David S. Moore, and Daren S. Starnes. The Practice of Statistics (1st edition). New York: W.H. Freeman and Company, 1999 References and Resource Materials Activstats Against All Odds Blackboard Website (used for several homework assignment) Decision Through Data Video Fathom Golden Resource Binder Texas Instrument TI-83/84 graphing calculator Workshop Statistics PACING GUIDE AP Statistics Text: Yates/Moore/Starnes, The Practice of Statistics DAY SECTION 1 2 1.1 1.1 3 TOPIC HOMEWORK Displaying Distributions with Graphs Displaying Distributions with Graphs #4-10 #14-18 1.1/1.2 Displaying Distributions with Graphs/ Displaying Distributions with Numbers #25-29 4 5 1.2 1.2 Displaying Distributions with Numbers Displaying Distributions with Numbers #31,32,35,36, # 38-46 6 7 2.1 2.1 Density Curves and the Normal Distributions Density Curves and the Normal Distributions #4-9 # 11 – 16 8 9 10 11 2.2 2.2 TEST 3.1 Standard Normal Calculations Standard Normal Calculations Chapters 1 & 2 Scatterplots #22-26 # 27-33 #38-41 # 10-16 Resources/Activities Use of STAT PLOT function in calculator extensive in this section to simplify the visualization and allow for more in-depth discussion of the interpretation of results. Use of 1-var stats function in calculator...we take “real-world” data sets that have similar results with very different interpretations and practical meaning to discuss looking beyond the calculator. Students learn here how to communicate practical differences versus numerical distinctions. Further discussion of skew and distributions of large populations and how they may be shaped. Small “project” that deals with writing an article for a newspaper comparing our school’s results to another in the area. Graded on effective use of statistical vocabulary and proper mathematics. Full Project on used cars that provides the forum to both collect data (connection to Chaps 1,2) and then use it to make predictions. Emphasis placed on the communication of the meaning of the calculations and useful domain…assigned early, due at approximately day 16. Projects done in Excel and Fathom and submitted electronically. 12 13 14 15 16 3.2 3.2 3.3 3.3 3.3/4.1 17 18 19 4.1 4.1 4.2 20 21 22 4.3 4.3 TEST 23 24 5.1 5.1 25 26 27 5.2 5.2 5.2/5.3 28 5.3 29 TEST Correlation Correlation Least-Squares Regression Least-Squares Regression Least-Squares Regression/ Transforming Relationships Transforming Relationships Transforming Relationships Cautions about Correlation and Regression Relations in Categorical Data Relations in Categorical Data Chapters 3 & 4 Designing Samples Designing Samples Designing Experiments Designing Experiments Designing Experiments/Simulating Experiments #20-24 # 25,26,28-30 # 50 – 52, 55,58 – 60 Analysis of linear models and how they should be looked at carefully to see if appropriate. # 17,19,20,24,25 # 38 – 45, 49 # 62 – 66, 70 AP ’98 #4- ’99 #1- ’00 #3’01 #1- ’02 #4-’04 #1 # 19 – 27 Articles both read and then written that mislead the audience with the use of language that misrepresents the practical meaning of the data. Released AP Exam Questions Look for sources of bias while designing the sampling technique. # 50 – 53,56,58 Simulating Experiments # 68 – 72 Chapter 5 AP ’99 #3- ’00 #5- ’02 #2- Simulation is appropriately done in the calculator using the TI-83plus PRB/SIM function. Airline Overbooking Special Problem/ Project- Students make a recommendation to the company based on their findings. Released AP Exam Questions The Idea of Probability Probability Models Probability Models General Probability Rules ’03 #4- ’05 #1 # 2, 4, 8 – 10 30 31 32 33 6.1 6.2 6.2 6.3 34 35 36 37 38 39 6.3 6.3 TEST 7.1 7.1 7.2 General Probability Rules General Probability Rules Chapter 6 Discrete and Continuous Random Variables Discrete and Continuous Random Variables Means and Variances of Random Variables 40 41 42 7.2 8.1 8.1 Means and Variances of Random Variables The Binomial Distributions The Binomial Distributions # 45 – 50 43 44 45 46 47 48 49 8.1 8.2 TEST 9.1 9.1 9.2 9.3 The Binomial Distributions The Geometric Distributions Chapters 7 & 8 Sampling Distributions Sampling Distributions Sample Proportions Sample Means # 28 – 35 # 47,49,50,53 50 51 52 9.3 10.1 10.1 Sample Means Estimating with Confidence # 34 – 40, 43, 44 Use Poker/Casino lab to assess the validity of our probability models for games of chance. Students can discuss potential sources of error. # 67 – 70, 73,74, 77 # 10 – 17 Using discrete random variable models of consumer issues such as insurance to make appropriate decisions based on consumer and business points of view. With different sample sizes, have students show their frequency distributions to lead to the connection between binomial and normal distribution. #4-10 # 12 -14 # #15-19,22 #23,24,30-33,35 # 36-39 #3,4,7,8,10,11 # 13,14,16,,19-20 Activity: students collect data on heights using the mean to develop the idea of the Central Limit Theorem 53 54 55 56 10.2 10.3 10.3 10.4 Tests of Significance Making Sense of Statistical Significance 57 58 TEST 11.1 Chapters 9 & 10 Inference for the Mean of a Population 59 60 11.1 11.2 Inference for the Mean of a Population Comparing Two Means # 24,26 – 29,31,33 61 62 11.2 12.1 Comparing Two Means Inference for a Population Proportion # 50 – 54 63 64 12.1 12.2 Inference for a Population Proportion Comparing Two Proportions # 13 – 19 65 12.2 Comparing Two Proportions # 28 – 31,34 66 TEST 67 68 13.1 13.1 Test for Goodness of Fit Test for Goodness of Fit 69 13.2 Inference for Two-Way Tables Inference as Decision # 28,29-30, 33-35 #39,40,45-50 # 62 – 65 # 72, 74-76 Decision Making: use current events to analyze and discuss the implications of Type I and Type II errors in real world situations. At this point, we begin using the calculator more. They understand the computations and now can begin to spend more time on the decision making. Losing Weight Special Problem/Project: Students investigate the difference of two means in the long term effect of two exercise programs. Voting issues: Do they show a meaningful majority? Chapters 11 & 12 # 10 – 13 Voting issues: Do they show a meaningful difference between candidates or issues? Movie: A Civil Action Students complete worksheet on idea of movie and consequences of decisions. Outside Class Project: The Airport Problem. Reviews probability and simulations, inference, and Type II error. M&M’s Special Problem/Project: Is there enough Blue? Students test sample bags to see if they matched the claimed distribution of colors. 70 71 72 73 13.2 14.1 14.2 TEST Inference for Two-Way Tables Inference About the Model Predictions and Conditions Chapters 13 & 14 # 25,28 – 30 # 6,7,10 # 12, 15,17 AP ’98 #1- ’01 #2- ’02 #3’03 #3 ’05 #2 Released AP Exam Questions