AP Statistics Syllabus  

 

Primary Text:          

·         Peck, Roxy, Chris Olsen, and Jay Devore. Introduction to Statistics & Data Analysis. 2nd Ed. Belmont, CA:  Thomson Brooks/Cole, 2004

 

 

 

Supplementary Materials:

·         Bock, Vellerman, DeVeaux. Stats: Modeling the World AP.  2nd ed.  Upper Saddle River, NJ:  Prentice Hall, 2006.

·        Bohan, James F.  AP Statistics: Preparing for the Advanced Placement Examination..  New York: AMSCO School Publications, 2000.

·        Mulekar, Madjuri.  Cracking the AP Statistics Exam. NewYork, NY: Random House, Inc., 2002.

·         Scheaffer, Richard, Mrudulla Gnanadesikan, Ann Watkins, and Jeffrey A. Witmer, Activity-Based Statistics.  New York, 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.

·         Yates, Daniel S., David Moore, and Daren S. Starnes.  The Practice of Statistics.  2nd ed. New York, NY: WH Freeman, 2002.

 

 

 

Technology:

·         All students have access to TI-83 or TI-84 graphing calculator in class, at home, and on the AP Exam. 

·         Students will be required to use statistical software (Statcrunch, etc.) 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 six weeks have 2-3 tests and 5-6 quizzes which count 80% of the six weeks average.  Each test is comprised of a multiple choice section (approximately 60%) and a free response section (approximately 40%).

·         Daily grades:  There are several homework problems assigned per six weeks plus various other class assignments.  Daily grades are 20% of the six weeks average.

·         Semester exams:  Semester exams are cumulative and count 20% of the semester average.

·         Projects:  There is a major project each semester which counts as a test grade.  Minor projects usually count as bonus points onto test grades.

o        The fall semester project involves designing a well-controlled experiment, carrying out that experiment, calculating the summary statistics on the data, and writing a report connecting the design with the summary statistics.  This report must include computer-generated graphs of the data.

o        The spring semester project involves gather data from a well-controlled experiment or well-designed survey (if time is limited, students may use data from a published experiment), analyzing the data including descriptive & inferential statistics, and writing a report connecting the design with the analysis of the data (descriptive & inferential).  This report must include computer-generated graphs of the data.

 


 

Course Outline:

Topics

Assignments & Activities

Assessments

Chapters 1 &3     (8 days)

Graphical Displays

·         Random Variable definition

·         Types of variables

·         Description of graphs (center, spread, shape, unusual features [gaps, clusters, outliers, etc.])

·         Bar graphs

·         Segmented bar graphs

·         Pie graphs

·         Stemplot

·         Back-to-back stemplots

·         Dotplot

·         Histograms

·         Cumulative relative frequency plot

·         Scatterplots

·         Time plots

Read: pp. 1-18 & pp. 79-139

 

Suggested homework: 1.3, 1.7, 1.9, 1.11, 1.13, 3.6, 3.12, 3.17, 3.20, 3.24, 3.25, 3.28, 3.35, 3.41, 3.46, 3.53

 

Teacher-generated Worksheets:

·         Ogive Worksheet

·         AP Review

 

Activities:

·         Distribution Shapes Activity - Gather data to explore the shapes of various distributions

·         Features of Distributions Activity – explore various aspects of a distribution (center, spread, shape, outliers)

Quiz – Types of distributions & categorical graphs

 

Quiz – dotplots, stemplots, & histograms

 

Chapter 1 & 3 Test

Chapter 4     (11 days)

Exploring Data

·         Measures of center

·         Measures of spread

·         Outliers

·         Modified boxplots

·         Parallel boxplots

·         Z-scores

·         Empirical rule

Read: pp. 151 - 191

 

Suggested Homework: 4.1, 4.3, 4.5, 4.6, 4.19, 4.21, 4.26, 4.27, 4.28, 4.30, 4.32, 4.35, 4.39, 4.43, 4.45, 4.55, 4.62, 4.68

 

Teacher-generated Worksheets:

·         Mean & Variance Worksheet

·         Comparative Boxplots Worksheet

·         AP Review

 

Activities:

·         Activity 4.2 (from text)

·         Matching game – match histograms, boxplots & summary stats

·         Mean & Var. Activity – explore the linear transformations of random variables and sums/differences of independent random variables

·         Comparing & Matching Graphs Activity – adapted from Activity –Based Statistics

Quiz – mean & standard deviation

 

Quiz - Boxplots

 

Chapter 4 Test

 

Indian Tribe Project (small project) –

Use known statistics to predict identity of unknown Indian tribe

 

 

Chapter 6     (10 days)

Probability

·         Combinatorics

·         Probability rules for addition & multiplication

·         Mutually exclusive events

·         Independent events

·         Law of large numbers

·         Conditional probability

·         Contingency tables

Read: pp. 271-302

 

Suggested homework: 6.3, 6.5, 6.11, 6.12,6.17, 6.21, 6.23, 6.48, 6.49, 6.61, 6.29, 6.39, 6.62, 6.68

 

Teacher-generated Worksheets:

·         Combinatorics Worksheet #1

·         Combinatorics Worksheet #2

·         Conditional Probability Worksheet

·         Probability Review

·         AP Review

Quiz – counting principles

 

Quiz – probability

 

Chapter 6 Test

Chapter 5     (14 days)

Regression

·         Correlation coefficient

·         Coefficient of determination

·         LSRL

·         Residuals & residual plot

·         Outliers & influential points

·         Non-linear data transformations

Read: pp. 201-259

 

Suggested Homework: 5.1, 5.3, 5.5, 5.10, 5.19, 5.21, 5.26, 5.31, 5.32, 5.36, 5.41, 5.44 (a & b), 5.45, 5.48, 5.50

 

Teacher-generated Worksheets:

·         Regression Worksheet

·         AP Review #1

·         Logarithm Review Worksheet

·         Non-linear Regression Worksheet

 

Activities:

·      AP Review #2 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/javahtml/Regression.html

Quiz – correlation  LSRL

 

Quiz – residuals, residual plots, & influential observations

 

Quiz – non-linear data

 

 

Chapter 5 Test

 

 


 

Chapter 2    (12 days)

Sampling & Experimental Design

·         Census

·         Sampling methods: SRS, stratified, systematic, cluster, multi-stage sampling

·         Sources of bias in samples

·         Completely randomize experiment

·         Randomized block experiment

·         Matched pairs experiment

·         Observational studies

·         Principles of experiment design: randomization, replication & control

·         Sources of bias in experiments: confounding, placebo effect, blinding

·         Population of interest & generalizability of results

Read: pp. 25 – 68

 

Suggested Homework: 2.3, 2.5, 2.6, 2.7, 2.23, 2.25, 2.28, 2.33, 2.37, 2.38, 2.43, 2.46, 2.53, 2.54, 2.57, 2.59, 2.63

 

Teacher-generated Worksheets:

·         Sampling Design Worksheet

·         Experimental Design Worksheet

·         AP Review #1

·         AP Review #2

 

Activities:

·         Random Rectangle Activity – adapted from Activity –Based Statistics

·         Experimental design activity – design experiment to test given items

Quiz – Sampling design

 

Quiz – experimental design

 

 

Chapter 2 Test

 

 

Gummy Bear Project -  design an well-controlled experiment, analyze data (summary statistics), and write a report with computer-generated graphs

Chapter 6.7    (3 days)

Simulations

·         Design & carry out simulations to model various events

Read: pp. 327-336

 

Teacher-generated Worksheets:

·         Simulation Worksheet #1

·         Simulation Worksheet #2

·         AP Review

Simulation Quiz


 

 

Chapter 7     (12 days)

Discrete distributions

  • Random Variables
  • Means & standard deviations of random variables (linear transformations & sums/differences)
  • Probability distributions
  • Binomial distributions
  • Geometric distributions
  • Poisson distributions
  • Mean & standard deviation the above distributions

Read: 366-389

 

Suggested Homework: 7.29, 7.30, 7.33, 7.35, 7.47, 7.51, 7.55, 7.62, 7.63

 

Teacher-generated Worksheets:

·         Binomial Distribution Worksheet #1

·         Binomial Distribution Worksheet #2

·         AP Review #1

·         Geometric Distribution Worksheet

·         Poisson Distributions Worksheet

·         Mixed Discrete Distributions Worksheet

·         AP Review #2

 

Activities:

·         Binomial Activity – using graphing calculator, investigate the how the histograms of binomial distributions behave when the probability of success increases

·         Geometric Activity – using graphing calculator, investigate the how the histograms of geometric distributions behave when the probability of success increases

·         Poisson Activity – using graphing calculator, investigate the how the histograms of Poisson distributions behave when the probability of success increases

Quiz – probability distributions (general)

 

Quiz – binomial distributions

 

Quiz (counts double) – discrete distributions

 

 

Discrete Distributions Test

Chapter 7     (10 days)

Continuous distributions

  • Density curves
  • Uniform distributions
  • Normal distributions
  • Z-tables
  • Checking for normality – normal probability plots
  • Normal approximation to binomial

Read: pp. 361-365 & pp. 392-423

 

Suggested Homework: 7.67, 7.69, 7.71, 7.74, 7.73, 7.77, 7.80, 7.81, 7.83, 7.85, 7.95, 7.97

 

Teacher-generated Worksheets:

·         Unusual Distribution Worksheet

·         Uniform Distribution Worksheet

·         Normal Distribution Worksheet

·         Mixed Continuous Distribution Worksheet

 

Activities:

·         Normal Approximation to Binomial Activity – use graphing calculator to investigate the relationship between the binomial curve & the normal curve

Quiz – continuous (general) & uniform distributions

 

Quiz – normal distributions

 

 

Chapter 7 Test

 

Distribution Project (small project) – use appropriate distributions to answer questions

 

Chapter 8.1 & 8.2 (6 days)

Sampling Distributions ()

·         Mean & standard deviation formulas

·         Central Limit Theorem

·         Simulate sampling distributions

 

Read: pp. 441-459

 

Suggested Homework: 8.3, 8.9, 8.14, 8.15, 8.16, 8.17, 8.21

 

Teacher-generated Worksheets:

·         Sampling Distributions of  Worksheet

 

Activities:

·         Sampling Distribution Activity – adapted from Decision with Data – perform sampling from a population to explore the relation between sample size & variance of sampling distribution

·         Internet Activity – investigate the Central Limit Theorem using www.ruf.rice.edu/~lane/stat_sim/sampling_dist/index.html

Quiz – sampling distributions of sample means

 

*Test with next unit

Chapter 9.1 & 9.3 (8 days)

Confidence Intervals for means (one sample & matched pairs)

·         Point estimates

·         Margin of error

·         Properties of confidence intervals

·         Calculation & interpretation of confidence intervals for means

Read: pp. 475-480 & pp. 495-505

 

Suggested Homework: 9.29, 9.31, 9.33, 9.35, 9.37, 9.45, 9.47, 9.57

 

Teacher-generated Worksheets:

·         Confidence Intervals Worksheet #1

·         Confidence Intervals Worksheet #2

·         AP Review

 

Activities:

·         Confidence Interval Activity #1– explore the effect of sample size on width of interval, etc.

·         Confidence Interval Activity #2 – gather data with “flying frogs”

Quiz – z confidence intervals

 

Quiz – t confidence intervals

 

 

Confidence Interval Test

Chapter 10.1 & 10.4

(7 days)

Hypothesis Test for means (one sample & matched pairs)

·         Hypothesis statements

·         P-values

·         Properties of t-distributions

·         Calculation & interpretation of test

Read: pp. 522-525 & pp. 545-553

 

Suggested Homework: 10.51, 10.52, 10.54, 10.57

 

Teacher-generated Worksheets:

·         Hypothesis Worksheet #1

·         Hypothesis Worksheet #2

·         Hypothesis Worksheet #3

·         A Review

Quiz – z & t hypothesis tests

 

 

Hypothesis Test

 

 

Chapter 10.2 & 10.5

(7 days)

Type I & II Errors and Power

 

Read: pp. 526-530

 

Suggested Homework: 10.11, 10.15, 10.18

 

Teacher-generated Worksheets:

·         Error Types Worksheet

·         Power Worksheet

·         Mixed Inference Review Worksheet

·         AP Review

 

Activities:

·         Power Applet Activity – investigate the effects of sample size, alpha, and difference between null & alternative means on power using

http://wise.cgu.edu/power/powerapplet1.html

Quiz  - Type I & II errors & Power

 

 

Inference on Means Test (cumulative)

Chapter 8.3     (2 days)

Sampling Distributions ()

Read: pp. 461-466

 

Suggested Homework: 8.27, 8.29

 

Teacher-generated Worksheets:

·         Sampling Distribution Worksheet

 

Activities:

·         Sampling Distribution Activity – simulate sampling distribution with proportions

*Test with next unit

 

Chapter 9.2 & 10.3

(5 days)

Inference with proportions (one sample / large sample)

·         Calculate & interpret confidence intervals

·         Calculate & interpret hypothesis test

Read: pp. 482 – 492 & pp. 532 – 542

 

Suggested Homework: 9.13, 9.15, 9.19, 10.23, 10.25, 10.27, 10.31, 10.37

 

Teacher-generated Worksheets:

·         One Sample Mixed Inference Worksheet

·         AP Review

 

Activities:

·         Proportion Activity – gather data to perform inference procedures

Quiz – confidence intervals with proportions

 

 

One Sample Inference Test

(cumulative)

 

 

Chapter 11     (8 days)

Two-Sample Inference

·         Sampling distribution of difference of means

·         Sampling distribution of difference of proportions

·         Calculate & interpret confidence intervals with means

·         Calculate & interpret hypothesis test with means

·         Calculate & interpret confidence intervals with proportions

·         Calculate & interpret hypothesis test with proportions

Read: pp. 575-625

 

Suggested Homework: 11.1, 11.3, 11.5, 11.7, 11.9, 11.13, 11.41, 11.45, 11.47, 11.49, 11.51, 11.53

 

Teacher-generated Worksheets:

·         Mixed Hypothesis Worksheet #1

·         AP Review

 

Activities:

·         Two-Sample Mean Activity – simulate sampling distribution difference of means & proportions

Quiz – two sample t-procedures (with means)

 

Quiz – two-sample z-procedures (with proportions)

 

 

Two-Sample Inference Test

Chapter 12     (7 days)

Chi-Square Tests

·         Properties of c2 distributions

·         Goodness-of-fit

·         Independence

·         Homogeneity

Read: pp. 637 – 666

 

Suggested Homework: 12.1, 12.3, 12.5, 12.9, 12.15, 12.17, 12.27, 12.32

 

Teacher-generated Worksheets:

·         Mixed Hypothesis Worksheet #2

·         Mixed Hypothesis Worksheet #3

·         AP Review

 

Activities:

·         Chi-Square Activity – explore the difference between the c2 tests

Quiz – chi-square tests

 

 

Chapter 12 Test

Chapter 13     ( 8 days)

Inference for Regression

·         Regression model

·         Sampling distribution of slopes

·         Calculate & interpret confidence interval for slope of LSRL

·         Calculate & interpret hypothesis test for slope of LSRL

Read: pp. 675-695

 

Suggested Homework: 13.18, 13.23, 13.25

 

Teacher-generated Worksheets:

·         LSRL Review Worksheet

·         Computer-generated Output Worksheet

·         AP Review #1

·         Non-linear Data Review Worksheet

·         AP Review #2

Quiz – regression model

 

 

Chapter 13 Test

 

 

AP Review     (17 days)

Review major topics

·         Exploratory Data Analysis

·         Probability & Distributions

·         Sampling & Experimental Design

·         Inference

Teacher-generated Review sheets & old exam questions

Mock AP Exam

 

Final Project – design study, gather data, analyze data, & write report including computer-generated results & graphs

 

 
Last Modified: Tuesday, Mar. 17, 2009
 
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