AP® Statistics Syllabus
Course Overview
The purpose of this course is to introduce students to the following notions taken from the
Collage Board: Statistics Course Description (2006): (1) Exploring data, (2) Sampling and Experimentation, (3) Anticipating Patterns, and (4) Statistical Inference.The presentation of these concepts will take place in these modes of instruction: (1)Direct Instruction—Lecture, discussion, and dialogue, (2) Technology—Labs and activities, and (3) A Research Project. To ensure students are making progress, continual assessments will also be given in the form of quizzes and tests.
Texts
Primary
Bock, D.E., Velleman, P.F., & DeVeaux, R.D.
Stats: Modeling the World. Boston:
Pearson/AddisonWesley.
Secondary
Larson, R. & Farber, B.
Elementary Stats: Picturing the World. Upper Saddle River:
Prentice Hall
Yates, D.S, Moore, D.S., & Starnes, D.S.
The Practice of Statistics. New York:
W.H. Freeman
Instructional Modes
Direct Instruction
While the majority of the instruction will take place in the format of lab activities, a small portion of prerequisite instruction will be essential to maximizing the effects of these various activities. With this in mind, the lectures will take the form of open discussions and dialogues with the students in the class concerning the vocabulary covered in the respective chapters. This type of lecturing will be used only as means of providing background information on the different concepts previously mentioned in the course overview as well as explanation and instructions of using the various types of technology.
1. TechnologyDue to the nature of statistics, this class will be technology intensive. Various activities—labs—will involve the use of a calculators and computers programs. Each student will have access to TI83 calculators, SPSS, SAS, Minitab, and Excel computer programs. Projects, activities, and homework assignments will require the use of each of these. The students will—on average—have at least a homework problem that will require the use of this technology per week, and each unit will have a lab to make use of minitab, excel, SPSS, or SAS.
Project
The project will require students to assimilate the material presented in the class and apply it to a real world problem. In groups, students must design and conduct a research project on something of interest to them. This project will require a (1)prospectus—due at midterm,
(2) written analysis—due at the conclusion of the class, and an (3) oral presentation—due on an assigned date. Firstly, the prospectus will provide insight into the proposed study by describing the purpose, significance, and methodology of the study. Secondly, the written analysis will provide an analysis, conclusion, and implications of the study. Finally, the oral presentation will describe process and voice the conclusion and implications of the study.
Course Outline
Unit 1, Time1.5 weeks, Topics Resources
Exploring and Understanding DataThe student shall be able to understand the differences between categorical and quantitative data as well as the different ways of describing these different types of data. This Unit contains but is not limited to these concepts: Histograms, stemandleaf plots, dot plots, distributions—skewness, uniform, unimodal, bimodal, symmetric distribution, etc.
(1) Introduction to Stats Chapter 1 quiz
Bock, Velleman, & DeVeaux pp. 1113
(2) Data Chapter 2 quiz
(3) Displaying and Describing Categorical Data
Test Chapters 1, 2, and 3
4) Displaying Quantitative Data
Chapter 4 quiz
5) Describing Distributions Numerically
Chapter 5 quiz
6) The Standard Deviation as a Ruler and the Normal Model
Unit Review/Unit I Test
Exploring Data Lab
Unit II3 Weeks
Exploring Relationships Between
Variables
The student shall be able to understand the relationships between two variables. Also, this unit contains but is not limited to the following concepts: direction, form, and scatter of variable, correlations, least squares fit, residual, variation, etc.
(7) Scatter plots, Associations, and Correlation
Chapter 7 quiz
8) Linear Regression
Test Chapter 7 and 8
9) Regression Wisdom
Chapter 9 quiz
10) Reexpressing Data: It’s Easier Than You Think
Unit Review/Unit II Test
Variable Relationship Lab
Bock,
Velleman, &
DeVeaux
pp. 115213
III 3
Weeks
Gathering Data
The student shall be able to understand the importance sampling
has to do with a study. This unit contains but is not limited to the
following concepts: random sampling—stratified, systematic,
Bock,
Velleman, &
DeVeaux
pp. 215272
3
cluster, multistage, and simple random sample, bias, etc.
(11) Understanding Randomness
Chapter
11 quiz
(
12) Sample Surveys
Chapter
12 quiz
(
13) Experiments
Unit
ReviewUnit
III TestData
Collection Lab
IV 6
Weeks
Randomness and Probability
The student shall be able to understand the Law of Large Numbers
and basic rules of probability. Also, the unit contains concepts but
is not limited to the following concepts: conditional probabilities,
mutually exclusive events, independent and dependent events, etc.
(14) From Randomness to Probability
Chapter
14 quiz
(
15) Probability Rules
Test
Chapter 14 and 15
(
16) Random Variables
Chapter
16 quiz
(
17) Probability Models
Unit
IV reviewUnit
IV TestProbability
Lab
Semester
Exam
Prospectus
Due
Bock,
Velleman, &
DeVeaux
pp. 274345
V 9
Weeks
From the Data at Hand to the World at
Large
The student shall be able to understand the following concepts:
variances of independent random variables, sampling distribution
of the difference between two proportions, twoproportion
zinterval,
pooling, and twoproportion
ztest.
Bock,
Velleman, &
DeVeaux
pp. 347441
4
(18) Sampling Distribution Models
Chapter
18 quiz
(
19) Confidence Intervals for Proportions
Test
Chapter 18 and 19
(
20) Testing Hypothesis About Proportions
Chapter
20 quiz
(
21) More About Tests
Chapter
21 quiz
(
22) Comparing Two Proportions
Unit
V ReviewUnit
V TestHypothesis
Testing Lab
VI 6
Weeks
Learning About the World
The student shall be able to understand the following concepts:
confidence intervals, hypothesis testing, statistical inference
procedures, central limit theorem, and tmodels.
(23) Inferences About Means
Chapter
23 quiz
(
24) Comparing Means
Chapter
24 quiz
(
25) Paired Samples and Blocks
Unit
VI ReviewUnit
VI TestMeans
Comparison Lab
Bock,
Velleman, &
DeVeaux
pp. 443516
VII 3
Weeks
Inference When Variables Are Related
The student shall be able to understand the following concepts:
Chisquare
models, homogeneity of variance, and nonparametric
statistics.
(26) Comparing Counts
Chapter
26 quiz
(
27) Inference for Regression
Test
Chapter 26 and 27Unit
VII Review
Bock,
Velleman, &
DeVeaux
pp. 519582
5
Unit
VII Test
(
28) Analysis of Variance
(29) Multiple Regression
Chapter
28 and 29 quizNonparametric
Stats Lab
Final
Exam
Research
paper due—including prospectus and
analysis
Presentation Due
Totals 36
weeks
6
