AP Stats Mr. Magrum Room 107

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1 AP Stats Mr. Magrum Room 107 COURSE GUIDELINES AP Statistics Prerequisite Students who are in AP Statistics should have at least passed Algebra 2. Other students in this class may have also taken/completed Trigonometry/Pre-Calculus, Calculus, Probability and Statistics/Discrete Math, or Advanced Algebra Applications. Course Description Advanced Placement Statistics Prerequisites: Completion of Algebra 2 Grades: Math Credit: Elective or Requirement for fourth year of Gateway 1 credit AP Statistics is a course where students are able to make predictions of future behavior after collecting, organizing, and analyzing data. The curriculum for this course set by the College Board for AP Statistics, will help the student prepare for the AP Statistics exam in May. Connections between all parts of the statistical processes will be analyzed, especially design, analysis, and conclusions. Through vocabulary and written expression, students will learn how to communicate their methods, results, and interpretations. They will use graphing calculators to help in the understanding of the curriculum. During the school year, students will receive exposure to four themes: Exploring Data: Patterns and Patterns that Deviate Sampling and Experimentation: Plan and conduct a study Anticipating Patterns: Using probability and simulation explore random phenomena Statistical Inference: Estimate population parameters and test hypotheses. Course Outcomes At the end of this process, students will be able to use the four areas of statistics as described the College Board. 1) Exploring Data: Patterns and Patterns that Deviate (20-30% of year) 2) Sampling and Experimentation: Plan and conduct a study (10-15%) 3) Anticipating Patterns: Using probability and simulation explore random phenomena (20-30%) 4) Statistical Inference: Estimate population parameters and test hypotheses. (30-40%)

2 Technology All students will have access to a TI-83 Plus or higher. Schedule Class will meet every other day for 100 minutes during 5 th period. We will meet between 2-3 times per week. Assessment Homework will be assigned daily from 5-6 problems each night. It will be graded on accuracy and will be presented to the class by the students. Tests and quizzes will be given regularly over the course of the year. A graphing calculator as well as the formula sheet given by the College Board will be allowed on all quizzes and tests. Tests will follow the outline for the AP exam by providing a mixture of multiple choice items as well as some free response. Students will be encouraged to communicate using the methods they have learned over the course of the year. Type % Policy 15% Homework assignments will be graded on accuracy. Each problem is worth one point if done correctly. Assignments Note: All assignments must be done in pencil. Assessments Note: Assessments must be done in pencil unless otherwise 70% Quizzes will be given daily and may or may not be announced. Tests will always be announced in advance and will be worth approximately 100 points each. There will be about four tests each semester, along with a practice test given prior to the final exam. Projects will occasionally be assigned. Detailed directions will be given with each project. Projects will usually be worth points. specified! Final Exam 15% A final exam will be given at the end of the semester. **Students enrolling in this class will be expected to take the AP Statistics test in May. This course will cover the AP Statistics course description primarily through the use of four resources: Bock, David E., Paul F. Velleman and Richard D. DeVeaux. Stats: Modeling the World (2 nd Ed.) Boston: Pearson/Addison-Wesley, Bock, D. and Craine, W, Printed Test Bank and Resource Guide, Boston: Pearson/Addison- Wesley, 2007 Carroll, Carver, Peters, & Ricks, AP Statistics (AP Test Prep Series), Boston: Pearson/Addison-Wesley, 2007 College Board. AP Statistics Free Response Problems. New Jersey: College Board, 2006.

3 Outline of course Unit I: Exploring and Understanding Data BVD Chapters: 1-6 Time Frame: First 5 weeks of school Week 1 Intro to Stats (Chapter 1) What is data? (Chapter 2) Introductory discussion of independence (Chapter 3) Week 2 Describing and displaying categorical data (Chapter 3) Describing and displaying quantitative data (Chapter 4) Week 3 Describing and displaying quantitative data (Chapter 4) Summary statistics for quantitative data (Chapter 5) Computer labs: o ActivStats activities exploring standard deviation o Analyzing univariate data with Data Desk software Week 4 Outliers (Chapter 5) Project: Chapter 5 Investigative Task from Teachers Resource Guide The normal model (Chapter 6) The effect of linear transformations to data sets on summary statistics (Chapter 6) Week 5 Review and assessment of Unit I Favorite problems to use: 1997 #10, 12, 14, 15, 17, 21, 22, 25, 30, Free Response #1 Unit Assessment: A Part I Test from the Printed Test Bank (Version B), consisting of both multiple choice and free response questions. Unit II: Regression BVD Chapters: 7-10 Time Frame: Weeks 6-9 Week 6 Displaying and describing scatterplots (Chapter 7) Analyzing two-variable quantitative data: o The difference between association and correlation(chapter 7)

4 Computer lab: o ActivStats activities exploring correlation Analyzing two-variable quantitative data: o Least-squares regression (Chapter 8) o Slope and y-intercept (Chapter 8) Computer lab: ActivStats activities exploring least squares regression Project: Chapter 8 Investigative Task from Teachers Resource Guide Week 7 Analyzing two-variable quantitative data: o Residuals and residual plots (Chapter 8) o Outliers and influential points (Chapter 9) Projects: o BVD wandering point worksheet from the Resource Guide o Chapter 9 Investigative Task from Teachers Resource Guide Computer labs: o ActivStats activities exploring influential points Week 8 Straightening the curve (Chapter 10) Transformations to achieve linearity (Chapter 10) Project: Chapter 10 Investigative Task from Teachers Resource Guide Week 9 Review and assessment Favorite Free Response problems to use: 1997 # # Form B #1 Unit Assessment: A Part II Test from the Printed Test Bank, consisting of both multiple choice and free response questions. Unit III: Collecting Data BVD Chapters: Time Frame: Weeks 9-13 Week 9 and 10 Simulations and random numbers (Chapter 11) Project: Chapter 11 Investigative Task from Teachers Resource Guide Weeks 10 and 11 Designing surveys via various methods (Chapter 12) Bias in surveys (Chapter 12) Randomization and representative samples (Chapter 12)

5 Weeks 12 and 13 Observational studies (Chapter 13) Experimental design: (Chapter 13) o Control o Random assignment of treatment o Replication o Placebo & blinding o Blocking and matched pairs o Confounding and lurking variables o Statistically significant difference (introduction) Review and assessment Project: Chapter 13 Investigative Task from Teachers Resource Guide Favorite Free Response problems to use: 1997 # # Form B #3 Unit Assessment: A Part III Test from the Printed Test Bank, consisting of both multiple choice and free response questions. Unit IV: Probability BVD Chapters: Time Frame: Weeks Week 13 and 14 Basic probability principles including complement, independence and mutually exclusive (Chapter 14) Addition, multiplication probability rules (Chapter 15) Weeks 15 Addition, multiplication and conditional probability rules (Chapter 15) Favorite Free Response problem to use: 2003 Form B #2 Week 16 Random variables (Chapter 16) o Expected value and standard deviation o Rules for transforming and combining random variables Favorite Free Response problems to use: 2001 #2 Weeks 17 and 18 Geometric and binomial probability models (Chapter 17) Normal approximation for the binomial (Chapter 17)

6 Week 19 Review and assessment (Final Exam for 1 st semester) Unit Assessment: A Part IV Test from the Printed Test Bank, consisting of both multiple choice and free response questions. Unit V: Inference for Proportions BVD Chapters: Time Frame: Weeks Week 20 Sampling distributions (Chapter 18) Central Limit Theorem (Chapter 18) Computer lab: Sampling distribution applet Week 21 Central Limit Theorem (Chapter 18) Confidence intervals for one proportion (Chapter 19) Week 22 Hypothesis testing for one proportion (z-test)(chapter 20) Week 23 Type I and II errors and power (Chapter 21) Project: Chapter 20 Investigative Task from Teachers Resource Guide Weeks 24 and 25 Intervals and tests for two proportions (Chapter 22) Review and Assessment Unit Assessment: A Part V Test from the Printed Test Bank, consisting of both multiple choice and free response questions. Unit VI: Inference for Means BVD Chapters: Time Frame: Weeks Week 23 Confidence intervals and hypothesis tests for one mean (Chapter 23) Project: Chapter 23 Investigative Task from Teachers Resource Guide Week 24 Confidence intervals and hypothesis testing for two means (Chapter 24) Confidence intervals and hypothesis testing for matched pairs (Chapter 25) Project: Chapter 25 Investigative Task from Teachers Resource Guide

7 Weeks 25 and 26 Review and Assessment Group inference project: cumulative inference for proportions and means from Teachers Resource Guide Unit Assessment: A Part VI Test from the Printed Test Bank, consisting of both multiple choice and free response questions covering inference for both means and proportions (Units V and VI). Unit VII: Inference for Counts and Slope BVD Chapters: Time Frame: Weeks Weeks 26 and 27 Chi-square goodness-of-fit test (Chapter 26) Chi-square for homogeneity and for independence (Chapter 26) Project: Chapter 26 Investigative Task from Teachers Resource Guide Week 27 Confidence interval for slope (Chapter 27) Hypothesis testing for slope (Chapter 27) Cumulative review and assessment Unit Assessment: A Part VII Test from the Printed Test Bank, consisting of both multiple choice and free response questions covering all inference topics (Units V, VI, and VII). Review for the Exam Time Frame: Weeks Practice Free Response problems will be used extensively Practice work from the AP Test Prep review book Assessment:. A practice exam will be given. Final Project Time Frame: Weeks Cumulative year-end project: Students design a study, collect and summarize data, analyze data using statistical inference procedures and computer software, make a class presentation, and submit a written report.

8 FINAL PROJECT (following the AP test): Overview The final requirement for this course is the completion of a major analysis, design, research, and presentation project that demonstrates understanding of, and connects together, the major concepts of AP Statistics. Students first select a print advertisement that makes a statisticallytestable claim. They then analyze that advertisement using the marketing techniques we cover in class. Next, they research the company that makes the product being advertised (or the parent company, whichever is more easily studied). Students complete a two-stage statistical analysis of their advertisement. First they design a study to gather data that will test their ad's claim. Then they must present their data appropriately and choose, carry out, and analyze the results of an appropriate statistical test of that claim. Students' ability to synthesize their data and come to a valid conclusion is a key component of this project. Next, students present their findings in a Power Point presentation for the class and must be prepared to answer questions about their study from their classmates and from me. Finally, students must produce a 'truth in advertising' version of their original advertisement that reflects their findings from their test. If they have disproved the claim, their new ad must show the real truth about their product. Students self-select groups of no more than two.

9 AP Stats Semester 1 Mr. Magrum Sign and return the following to Mr. Magrum next class. Worth 10 points. I have read the course Syllabus for Probability and Statistics, and I have also read the Academic Integrity Policy for the Math Department at Damonte Ranch High School. (The Academic Integrity Policy is located in the Student Planner.) Student s Name (printed) Student s Student Signature Date Parent/Guardian signature Date Parent/Guardian s Parent/Guardian Phone Number