Mr
Course Description-A.P. Statistics
Mr. Doctor 2007-2008
Course Outline
A.P. Statistics is a one-semester, introductory, non-calculus based, college course. That is, passing the A.P. exam, you can earn college credit for a semester. This course is required for majors such as, Social science, Health Science, Engineers, and Business. Students also have access to a classroom set of TI-84 calculators. Students who do not own a calculator use the ones provided by the school for class work and then check them out for the school year. Approximately, twice a semester students float into the Computer Math Lab to complete available for use in the classroom. MINITAB Statistics Software (Minitab) is the software package used for the computer labs. Projects are also a major part of the course. Student will complete three major projects for the school year. Projects should be done outside of class, but class time will provided for concerns and feedbacks. The Library has computers and reference books for student access. Teaching materials for the course come from textbooks, classroom lectures, newspapers, journals, medical newsletters, videos, and the World Wide Web.
Course Objective
The objective of this course is not just to pass the A.P. exam, but to develop sufficient mathematical maturity, critical thinking, making amicable decisions, and develop quantitative reasoning ability. Upon completion of this course, students will be introduced to the major concepts and tools for collecting, summarizing, analyzing, and drawing conclusion from data. We will focus on descriptive and inferential statistics, since this course allows students to build interdisciplinary connections with other subjects and with their world outside school. The use of technology will help for the interactive, investigative aspects of data analysis.
Description
Students who are taking this course should concentrate or developing a thorough understanding of the fundamental concepts of statistics. Also it is mandatory that students obtain a graphing calculator. Students will be exposed to do four broad conceptual themes.
1. Exposing Data: Observing patterns and departures from patterns.
2. Planning a study: Deciding what, and how to measure.
3. Anticipating Patterns: Producing models using probability theory, and simulation.
4. Statistical Inference: Confirming models.
Formulas and tables will be furnished to students taking this course, and also for the A.P Exam. Students will learn how, and when to apply the formulas, also practice how to read tables. The A.P Exam will last for three hours, and is divided into two parts to see how well students has mastered the concept, and techniques of the subject.
1. Multiple Choice and 2. Free response.
Both sections require a graphing calculator, and carry equal weight in the determination of the exam grade. Guessing is unlikely to improve scores sincere one fourth of the incorrect questions will be subtracted from the correct ones.
Learning Format
Since this is an independent study course, due to limited enrollment. This means that I will be facilitator and the group will be referred to a student as workers. It is the student’s responsibility to attend classes, read the text, review suggested materials, and turn in class assignments on time. Tardiness will not be tolerated. If the student is not serious about the course, and is seeking ways to improve his/her G.P.A for the first two nine weeks, in order to meet college requirements, the course should not be taken. Also it is recommended that students who will suffer from seniorities should not enroll. Each student will earn his/her grades. Students will be working in small groups with other members of the class. I am suggesting that each student get fellow group members telephone numbers for discussions on particular assignments. This course requires all efforts, and cooperation.
Grades will be based exclusively upon quizzes, and test (just like college) so please keep up with the course work.
All printed material is subject to change at instructor’s, and / or administration’s discretion.
Please sign below indicating that you accept these terms.
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STUDENT NAME PARENT NAME
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STUDENT SIGNATURE PARENT SIGNATURE
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Course Overview
Students who are taking this course should concentrate on developing a thorough understanding of the fundamental concepts of statistics. The A.P. Statistics course is designed to have students:
• Look for pattern and departures from patterns in a given set of data
• Plan and conduct a study
• Produce data through sampling and experimentation
• Assess probability
• Draw inferences through hypothesis tests and confidence intervals
Course Materials
PRIMARY MATERIAL
Yates, D. S., Moore, D. S., & Starnes, D. S. (2003). The Practice of Statistics: TI83/89 W.H. Freeman and Company
Graphing Calculator Enhanced. –2nd edition New York: W. H. Freeman
SUPPLEMENTARY MATERIALS
TI-83/83/84 or 89 Graphing Calculator
Sternstein Martin (2004) 3rd edition. How to prepare for the A.P Statistics
Barrons Education Series
Bohan James (2000) Statistics (preparing for the A.P Exam)
Amsco School Publication Inc.
Peterson, Larry (2003) 2nd edition. The practice of statistics (Prep for A.P Exam Guide for Yates, Moore and Starnes)
WH. Freeman and Company
Reference Textbooks
Peck, Roxy; Olsen, Chris; Davore, Jay; (2005). Statistics and Data Analysis; Thompson, Brook/Cole
Johnson, Robert; Kuby, Patricia; (2004). Elementary Statistics;
Thompson, Brook/Cole
Bluman, Allan; (2004). Elementary Statistics (a step by step approach)
McGraw Hill
Brase, Charles; Brase, Corrinne; (2003) Understandable Statistics
Houghton Mifflin
Rossman , Allan ; Oehsen, Barr Von (1997). Workshop Statistics
(Discovery with data and the graphing calculator)
Springer- Verlag New York Inc.
Course Grading Scale and Grading Criteria
The grading scale used will be the Miami-Dade County Public School System’s approval scale, which is as follows:
A: 90-100 %( 4 points)
B: 80-89 %( 3 points)
C: 70-79 %( 2 points)
D: 60-69 %( 1 point)
F: 0-59 %( 0 points)
The grading criteria, or categories of grades and their respective weights for each grading period, should as follows:
Unit Examinations…………………………..50%
Major Academic Assignments/ Projects….20%
Class Participation ………………………….10%
Semester and Final Exam …………………20%
|Week |Topics |Assessment& Connections |Supplementary Activities |
|1 |Constructing and Interpreting |Quiz |CASE STUDY: Americans, Here’s |
| |Graphically Displays of | |Looking At You |
| |Distribution |This course teaches how to | |
| |Bar graph, Pie graph, Stem plot, |communicate methods, results and |Student writes report |
| |Dot plot, Histogram, Ogive |interpretations using the | |
| |Student use TI-84 |vocabulary of statistics, graphs |Activity 1: How Fast is Your |
| | |and charts. |Heart Beating? |
| | | | |
| | | |Reading: Newspaper and selected |
| | | |Magazine articles |
|2 |Measuring Central Tendency and |Test |CASE STUDY: What Do People Do |
| |Spread Through Numerical Summaries| |When They Are on the Internet? |
| |Mean, Median, Box plot, Five |This course teaches students how | |
| |number summary, |to use graphing calculators and |Student writes report |
| |Standard deviation |computer software’s to enhance | |
| |Student use TI-84 |the development of statistical |Reading: Newspaper and selected |
| | |understanding through exploring |Magazine articles |
| | |and analyzing data. | |
|3 |Density Curves and Introduction to|Quiz |Activity 2b: Roll a Normal |
| |Normal Distributions | |Distribution |
| |Shape of distribution, Empirical |The course teaches students how | |
| |rule, z score, assessing |to communicate methods, results, |Video: Normal distribution, and |
| |normality. |and interpretations using the |normal calculation |
| |Student use Table A and |vocabulary of statistics | |
| |TI-84 calculator. | |Student writes report |
|4 |Standardizing Normal Distributions|Test |CASE STUDY: Aptitude Tests and |
| |and Finding the area Under the | |Their Interpretation |
| |Curve using Tables and TI-84 |The course provides instruction | |
| |Calculator |in each of the following four |Student writes report |
| | |broad conceptual themes outlined | |
| | |in the Course Description with |Reading: Newspaper and selected |
| | |appropriate emphasis on exploring|Magazine articles |
| | |data. | |
|5 |Displaying and Exploring Bivariate|Quiz |CASE STUDY: Duncan Wins First MVP|
| |Data | | |
| | |The course provides instruction |Student writes report |
| |Student use TI-84 |in each of the following four | |
| | |broad conceptual themes outlined |Reading: Newspaper and selected |
| | |in the Course Description with |Magazine articles |
| | |appropriate emphasis on exploring| |
| | |data. | |
|6 |Performing least Squares |Test |Activity 3: SAT/ACT Scores |
| |Regression and Interpreting | | |
| |Correlation |The course provides instruction |Reading: Newspaper and selected |
| |Scatter plot, Correlation, |in each of the following four |Magazine articles |
| |Association, Least square |broad conceptual themes outlined | |
| |regression line, Residual plot, |in the course description with |Student writes report |
| |Influential point and Outliers |emphasis on exploring data. | |
| |Student use TI-84 | |Video: Models for Growths |
| | | |Describing Relationships, |
| | | |Correlation. |
|7 |Modeling and Transforming |Quiz |Activity 4: Modeling the Spread |
| |Nonlinear Relationships | |Of Cancer in the Body |
| |Exponential and Power |The course teaches students how | |
| |Transformation, Lurking Variables,|to use graphing calculator and |Video: The question of causation.|
| |Causation, Common Response, |computer output to enhance the | |
| |Confounding, Simpson’s Paradox, |development of statistical |Student writes report |
| |Marginal and Conditional |understanding of analyzing and | |
| |distribution |exploring scatter plots and | |
| | |assessing models through | |
| |Student use TI-84 |transformation. | |
|8 |Exploring Samplings Methods |Test |Activity 5A: A Class Survey |
| |Population, Bias, Sampling | | |
| |Methods: Voluntary, convenience, |The course teaches students how |Video: Experimental Design, |
| |random, stratified, probability, |to communicate methods, results, |Blocking and Sampling |
| |under coverage, non response |and interpretations using the | |
| | |vocabulary of statistics. |Student writes report |
| |Student use TI-84 | | |
|9 |Exploring Samplings Methods |Quiz |Major Project Due |
| |Experimental Design Randomization,| | |
| |Block Design, Double Blind, |The course teaches students how |Student present project |
| |Control, Replicate |to communicate methods, results, | |
| | |and interpretations using the |Presentation of the demography of|
| | |vocabulary of statistics. |Hialeah High population (graph, |
| | | |charts, etc.) |
| | | | |
| | | |Student writes report |
| | | | |
| | | |Video: Against all odds: Blocking|
|10 |Designing and Simulating |Test |Video: Samples and Surveys |
| |Experiments | | |
| |Simulation |The courses teaches students how |Student writes report |
| |Student use TI-84 and computer |to use graphing calculators and | |
| |program |demonstrates the use of computers| |
| | |and/or computer output to enhance| |
| | |the development of statistical | |
| | |understanding through exploring | |
| | |and analyzing data, assessing | |
| | |models, and performing | |
| | |simulations. | |
|11 |Introduction to Probability, |Quiz |CASE STUDY: Statistics Students’ |
| |Exploring Probability Models, | |Favorite Candy |
| |Probability Rules, Independence, |The course draws connection | |
| |and Mutually exclusive |between all aspects of the |Student writes report |
| | |statistical process, including | |
| |Student use TI-84 |design, analysis and conclusions.|Reading: Newspaper and selected |
| | | |Magazine articles |
|12 |Applying General Probability |Test |Activity 6: The Spinning Wheel |
| |Rules, Conditional Probability and| | |
| |Bates Rule. |The course teaches students how |Student writes report |
| | |to communicate methods, results, | |
| |Student use TI-84 |and interpretations using the |Reading: Newspaper and selected |
| | |vocabulary of statistics. |Magazine articles |
|13 |Exploring Discrete and Continuous |Quiz |CASE STUDY: Family Values and |
| |Random Variables | |Family Togetherness |
| | |The course provides instruction | |
| |Student use TI-84 |in each of the following four |Student writes report |
| | |broad conceptual themes outlined | |
| | |in the Course Description with |Reading: Newspaper and selected |
| | |appropriate emphasis on |Magazine articles |
| | |anticipating patterns. | |
|14 |Finding Means and Variances of |Test |Activity 7: A Game Of Craps |
| |Random Variables, Law of large, | | |
| |Rules of mean and variance | |Student writes report |
| | |The course provides instruction | |
| |Student use TI-84 |in each of the following four | |
| | |broad conceptual themes outlined | |
| | |in the Course Description with | |
| | |appropriate emphasis on | |
| | |anticipating patterns. | |
|15 |Exploring Binomial and Geometric |Test |Activity 8: A Gaggle of Girls |
| |Distributions, Binomial mean and | | |
| |standard deviation, Geometric mean|This course teaches students how |Video: Binomial Distribution, The|
| |and standard deviation. |to use graphing calculators and |Sample Mean and control charts |
| | |demonstrates the use of computers| |
| |Student use TI-84 |and/ or computer output to |Student writes report |
| | |enhance the development of | |
| | |statistical understanding through| |
| | |exploring and analyzing models, | |
| | |and performing simulations | |
|16 |Determining Sampling Distributions|Quiz |CASE STUDY: The U.S. Census and |
| |For Proportions | |Sampling It |
| | |This course teaches students how | |
| |Student use TI-84 |to use graphing calculators and |Reading: Newspaper and selected |
| | |demonstrates the use of computers|Magazine articles |
| | |and/ or computer output to | |
| | |enhance the development of |Student writes report |
| | |statistical understanding through| |
| | |exploring and analyzing models, | |
| | |and performing simulations | |
|17 |Determining Sampling Distributions|Quiz |Activity 9A: Young Women’s |
| |for Means, sampling variability, | |Heights |
| |bias, sample proportion, sample |The course provides instruction | |
| |mean, central limit theorem |in each of the following four |Student writes report |
| | |broad conceptual themes outlined | |
| |Student use TI-84 |in the Course Description with | |
| | |appropriate emphasis on | |
| | |anticipating patterns. | |
|18 |Semester Exam | |Major Project Due |
| | |The course teaches students how | |
| |Student use TI-84 |to communicate methods, results, |Student present project |
| | |and interpretations using the | |
| | |vocabulary of statistics. |Design a survey of Hialeah High |
| | | |population (student and staff). |
| | | | |
| | | | |
| | | | |
|19 |Constructing Confidence Intervals,|Quiz |Activity 10: A Little Tacky! |
| |confidence interval for population| | |
| |mean, choosing sample size, and |The course provides instruction |Video: Confidence interval, |
| |confidence level. |in each of the following four |Significance Test |
| | |broad conceptual themes outlined | |
| |Student use TI-84 |in the Course Description with |Student writes report |
| | |appropriate emphasis on | |
| | |statistical inferences. | |
|20 |Conducting Hypothesis Tests and |Quiz |CASE STUDY: Were They Shorter |
| |Determining Statistical | |Back Then? |
| |Significance, Test of |The course provides instruction | |
| |significance, P-value, Z-test, |in each of the following four |Reading: Newspaper and selected |
| |Test with fixed significance |broad conceptual themes outlined |Magazine articles |
| |level, null hypothesis, |in the Course Description with | |
| |alternative hypothesis |appropriate emphasis on |Student writes report |
| | |statistical inferences. | |
| |Student use TI-84 | | |
| | | | |
|21 |Determining the Power and Type I |Test |Activity 11: Paper Plane |
| |and II Error Probabilities of | |Experiment |
| |Hypothesis Tests, increasing |The course provides instruction | |
| |power. |in each of the following four |Student writes report |
| | |broad conceptual themes outlined | |
| |Student use TI-84 |in the Course Description with | |
| | |appropriate emphasis on | |
| | |statistical inferences. | |
|22 |Making Inferences For 1 or 2 Means|Test |CASE STUDY: Get Enough Daily |
| |From Populations with Unknown | |Exercise |
| |Standards Deviations, standard |The course provides instruction | |
| |error, T-test, degree of freedom, |in each of the following four |Reading: Newspaper and selected |
| |T- confidence interval, match pair|broad conceptual themes outlined |Magazine articles |
| |t-procedures, Robustness, power of|in the Course Description with | |
| |t-test. |appropriate emphasis on |Video: Inference for One Mean, |
| | |statistical inferences. |Comparing Two Means. |
| |Student use TI-84 | | |
| | | |Student writes report |
| | | | |
|23 |Making Inferences For 1 Population|Quiz |Activity 12: Is One Side Of a |
| |Proportion, condition for | |Coin Heavier |
| |inference, z-procedures, choosing |The course draws connections | |
| |sample size. |between all aspects of the |Video: Inference for Proportion |
| | |statistical process, including |Test. |
| |Student use TI-84 |design, analysis, and | |
| | |conclusions. |Student writes report |
|24 |Making Inferences for 2 population|Test |CASE STUDY: Students, Credit |
| |Proportion, pooled sample | |Cards, and Debt |
| |proportion |The course draws connections | |
| | |between all aspects of the |Reading: Newspaper and selected |
| |Student use TI-84 |statistical process, including |Magazine articles |
| | |design, analysis, and | |
| | |conclusions. |Student writes report |
|25-26 |Conducting Chi-Square Procedures |Test |CASE STUDY: Cooling Your Mouth |
| |For Goodness of Fit, Homogeneity, | |After a Great Hot |
| |and Independence, Chi-square test,|This course teaches students how | |
| |inference by simulation, inference|to use graphing calculators and |Activity 13: I Didn’t Get Enough |
| |for two-way tables, expected |demonstrates the use of computers|Blues (M&M) |
| |count, calculating chi-square |and/ or computer output to | |
| |with technology, computing |enhance the development of |Reading: Newspaper and selected |
| |conditional distributions, |statistical understanding through|Magazine articles |
| |chi-square test and z-test. |exploring and analyzing models, | |
| | |and performing simulations. |Video: Inference for Two- Way |
| |Student use TI-84 | |Tables. |
| | | | |
| | | |Student writes report |
|27 |Making Inferences For Regression |Quiz |Activity 14: Arm Span VS Height |
| |Models: Estimating Slopes and | | |
| |Testing for Linearity, regression |This course draws connections |Major Project Due |
| |model, Confidence interval for |between all aspects of the | |
| |regression slope, Testing the |statistical process, including |Student present project |
| |hypothesis of no linear |design, analysis, and conclusion.| |
| |relationship. | |Student will select a topic or an|
| | |This course teaches students how |article of their choice and give |
| | |to communicate methods, and |complete statistical analysis and|
| |Student use TI-84 |interpretations using the |description, vocabulary, |
| | |vocabulary of statistics. |terminology they have learned in |
| | | |the course (eg. nba, nfl, |
| | | |baseball, etc). |
| | | | |
| | | |Video: Inference for |
| | | |Relationships. |
|28 |Making Predictions and Assessing |Test |CASE STUDY: Wheat! Beautiful |
| |Necessary Conditions For | |Golden Wheat! |
| |Regression Models |This course teaches students how | |
| | |to use graphing calculators and |Reading: Newspaper and selected |
| |Student use TI-84 |demonstrates the use of computers|Magazine articles |
| | |and/ or computer output to | |
| | |enhance the development of |Student writes report |
| | |statistical understanding through| |
| | |exploring and analyzing models, | |
| | |and performing simulations. | |
|29-34 |Review For the A.P. Test |AP Test |Review Past Exams |
|35 |ANOVA (Optional / Time Permitting)| |CASE STUDY: Time Spent Reading |
| | | |the Newspaper |
| | | | |
| | | |Reading: Newspaper and selected |
| | | |Magazine articles |
|36 |Final Exams | | |
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