Advanced Placement Statistics

Transcription

1 Advanced Placement Statistics Course Description The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: Exploring Data: Describing patterns and departures from patterns Sampling and Experimentation: Planning and conducting a study Anticipating Patterns: Exploring random phenomena using probability and simulation Statistical Inference: Estimating population parameters and testing hypotheses Students who successfully complete the course and examination may receive credit and/or advanced placement for a one-semester introductory college statistics course. MHS Grading Scale Letter Grade Percentage Grade Point A % 4.0 A % 3.88 B % 3.49 B 83-86% 3.16 B % 2.88 C % 2.49 C 73-76% 2.16 C % 1.88 D % 1.49 D 63-66% 1.16 D % 0.88 F 0-59% 0.0 Reading Material and Supplies Primary Textbook Each student will be assigned a textbook for home use. There is a classroom set available to be used at school. Allan G. Bluman, Elementary Statistics, fifth edition. McGraw-Hill, New York, 2004 If you have internet access follow the instructions on the card attached to the inside front cover of your textbook. The online registration will give you access to supplemental

2 material that will be extremely beneficial for this class. It is not required that you register, but it is highly recommended. Supplemental Textbooks Some examples used in class presentations are taken from the following books. In addition, these books are available to be checked out overnight. Mario F. Triola, Elementary Statistics, ninth edition. Pearson, 2003 Ann E. Watkins, Richard L. Scheaffer, George W. Cobb, Statistics in Action, Key Curriculum Press, 2003 Technology All students will need a graphing calculator. It is recommended that you obtain a TI-83, TI-83+, or TI-84. If you choose a different calculator, make sure you have the instruction manual. If there are circumstances beyond your control, there are a limited number of graphing calculators that can be checked out. We will be using Excel frequently in the computer lab. If you have this program on a home computer, it will be beneficial. There is a CD in the back of your textbook. You will need to download the Mega-Stat program on your personal computer. You will also need to download the data sets folder. All classroom presentations are given using the SmartBoard and PowerPoint. If you bring me a blank CD I will burn the entire year s lessons for you to use at home. Course Outline Course Outline (Organized by chapters in primary textbook) Chapter 1 The Nature of Probability and Statistics Approx. Number of Days Topics Resources 3 Statistical Vocabulary 2 Using the TI calculator for statistics / TI website 1 Critical Thinking Challenge Chapter 1 Internet project Chapter 14 Sampling and Simulation

3 1 Common Sampling II.A Techniques 2 Surveys and Questionnaire II.A. / II.B. Design 2 Simulation Techniques II.A. 1 Critical Thinking Challenge Chapter 14 Internet Project Supplemental Planning and Conducting Surveys and Experiments 3 Surveys II.B / II.D. PowerPoint / Computer Lab 3 Experiments II.C / II.D. PowerPoint / Computer Lab Chapter 2 Frequency Distributions and Graphs 1 Organizing Data I.A. / I.C. / I.E 1 Organizing Data using Excel Technology Text / Computer Lab 2 Histograms, Frequency I.A. / I.C. / I.E. Polygons, and Ogives 1 Graphing w/ TI and Technology Text / Computer Lab Excel 1 Pareto, Pie and Time-Series I.A. / I.C. / I.E. graphs / Misleading graphs 1 Stem and Leaf Plots I.A / I.C. / I.E. 2 Scatterplots I.D. 1 Critical Thinking Challenge Chapter 2 Internet Project Chapter 3 Data Description 1 Measures of Central Tendency I.B 2 Measures of Variation I.B 1 Coefficient of Variation, I.B / I.E Chebyshev and Empirical Rule 1 Measures of Position I.B I/E 2 Exploratory Data Analysis I.B 1 Critical Thinking Challenge Chapter 3 Internet Project Chapter 4 Probability and Counting Rules 3 Sample Spaces and Probability IIIA 1 Addition Rules for Probability III.A / III.B. 2 Multiplication Rules for III.A / III.B. Probability / Conditional Probability 2 Fundamental Counting Rule / III.A. Combinations and Permutations 1 Probability and Counting III.A. Rules 1 Critical Thinking Challenge Chapter 4 Internet Project Chapter 5 Discrete Probability Distributions

4 1 Probability Distributions III.C. 2 Mean, Variance, and III.A. Expectation 3 Casino Royale Project III.A. 2 Binomial Distribution III.A. 3 Binomial Distribution Project Formal Report Chapter 6 The Normal Distribution 1 Introduction to Normality III.C. PowerPoint Presentation 2 Properties of the Normal III.C. Distribution 1 Applications III.C. 1 Checking for Normality III.C. (Pearson s Index) 3 Central Limit Theorem III.D. 2 The Normal Approximation to the Binomial Distribution 4 Normal Distribution Project Formal Report III.D. Chapter 7 Confidence Intervals and Sample Size 3 Confidence Intervals for the Mean and Sample Size (σ known or n > 30) 3 Confidence Intervals for the Mean and Sample Size (σ unknown or n< 30) 3 Confidence Intervals and Sample Size for Proportions 3 Confidence Intervals for Variances and Standard Deviations IV.A. IV.A IV.A IV.A 1 Critical Thinking Challenge Chapter 7 Internet Project Chapter 8 Hypothesis Testing 3 Steps in Hypothesis Testing / Traditional Method 3 z Test for a Mean 3 t Test for a Mean 3 z Test for a Proportion 3 χ 2 Test for a Variance or Standard Deviation 1 Confidence Intervals and Hypothesis Testing 1 Type II Error and the Power of a Test

5 1 Critical Thinking Challenge Chapter 8 Internet Project Chapter 9 Testing the Difference Between Means, Variances, and Proportions Between Two Means: Large Samples Between Two Variances Between Two Means: Small Independent Samples Between Two Means: Small Dependent Samples Between Proportions 1 Critical Thinking Challenge Chapter 9 Internet Project Chapter 10 Correlation and Regression 2 Scatter Plots I.D 2 Correlation I.D 2 Regression I.D 2 Coefficient of Determination I.D and Standard Error of the Estimate 1 Critical Thinking Challenge Chapter 10 Internet Project Chapter 11 Other Chi-Square Tests 2 Test for Goodness of Fit 2 Tests Using Contingency Tables Muskogee High School Policies All grading policies as outlined in the Secondary Student Expectations (Student Handbook) will be followed in this class. You are responsible for securing any work you may have missed due to absence. Attendance/Tardiness Students are expected to be in class and on time. A student will receive an F for the semester at the time of the 10 th unexcused absence. A student is considered tardy if they are not in their assigned seat when the tardy bell begins to ring. Three (3) tardies will equal one (1) absence.

6 Muskogee High School Mathematics Department Policies Extra Credit Each teacher has their own extra credit policy. Please check with your specific teacher regarding the policy for your class. Late Work Policy Late work will not be accepted except under guidelines for absences as set forth in the student handbook. Teacher Classroom Policies Assessment Homework assignments: District policy requires a minimum of two assignments per week. Any homework assigned during the week will be due the following Monday. This will allow you some flexibility with your other classes. Homework exercises will be assigned for each section covered in the text. Only odd numbered exercises will be assigned, and for those, the answers are given in the back of the book. For exercises that cause you some problems, the solution manual, with detailed explanations, will be available. I am also available before or after school each day for help. Homework assignments are worth 10 points each. Tests: Tests are given at the end of each chapter of the primary text. Tests are modeled after the actual AP test. There will be two parts: A multiple choice component and a free response component. Each part will cover one class period, and will each be worth 100 points. Internet Projects: Internet projects will be assigned at the end of each chapter. Internet projects will be worth 50 points. Mastery Learning/Tutoring Muskogee High School has instituted Mastery Learning Time. From 7:50 8:10 each morning teachers are available for tutoring and remediation. Tuesdays and Thursdays have been designated as the Mathematics Department time. All students are welcome to come for extra help or to work on assignments during this time. Any student with a grade of 69 or below will be assigned Mandatory Tutoring during this time and will be required to attend. Failure to attend Mandatory Tutoring will result in ASP assignment.