Download AP Statistics - North Charleston High School

AP Statistics Syllabus
Ms. Kelly Walsh
North Charleston High School
Primary Text:
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Bock, David E., Paul F. Velleman, Richard D. De Veaux, Stats: Modeling the World, 3rd ed. Pearson
Education, Inc. 2010.
Supplementary Materials:
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Bohan, James F. AP Statistics: Preparing for the Advanced Placement Examination. New York:
AMSCO School Publications, 2000.
Mulekar, Madjuri. Cracking the AP Statistics Exam. New York, NY: Random House, Inc. 2002.
Scheaffer, Richard, Mrudulla Gnanadesikan, Ann Watkins, and Jeffrey A. Witmer, Activity-Based
Statistics. NewYork, 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.
Decisions Through Data.
Technology:
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All students have access to a TI-Nspire in class, at home (will be lent out), and on the AP Exam.
Students will be required to use statistical software (JMP) to create computer-generated graphs
and to analyze data.
Various java applets will be used in activities to help students understand statistical concepts.
Assessment:
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Tests: Each semester will have 5-6 tests which will count 35% of the quarter average. Each test
is comprised of a multiple choice section and a free response section.
Quizzes: You will be quizzed on every chapter in the textbook. This will count as 25% of your
quarter grade. Quizzes may be multiple choice and/or free response.
Projects: You will complete “FRAPPYs” for each unit. These are practice free response questions
from previous AP exams. These will count as 20% of your quarter grade.
Classwork: You will be expected to work hard in class and complete in class assignments. These
will be 10% of your quarter grade.
Homework: Homework will be given daily. It is expected to be turned in the next day. This will
make up 10% of your quarter grade.
Course Outline:
Topics
Assignments & Activities
Unit 1
Read: pp. 2-128
(4 weeks)
Exploring and Understanding Data
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Random Variable
definition
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Types of Variables
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Description of graphs
(center, spread, shape,
unusual features [gaps,
clusters, outliers, etc.])
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Bar graphs
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Segmented bar graphs
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Pie graphs
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Stemplot
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Back-to-back stemplots
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Dotplots
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Histograms
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Cumulative relative
frequency plot
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Time plots
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Boxplots
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Parallel boxplots
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5-number summary
(minimum, maximum, Q1,
Q3, median)
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z-scores
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Variance
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Empirical rule
Unit 2
(4 Weeks)
Exploring Relationships Between
Variables
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Scatterplots
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Correlation Coefficient
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Coefficient of
determination
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LSRL
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Residuals & residual plot
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Outliers & influential
points
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Non-linear data
transformations
Suggested Homework:
Ch 2:
Pg 17 #5, 7, 8, 9, 12, 16
Ch 3:
Pg 38-41 #6, 7, 12, 14, 16, 22, 23, 29, 30
Ch 4:
Pg 72-75 #4, 6, 7, 10, 12, 14, 17, 28, 30, 32
Ch 5:
Pg 95-101 #5, 7, 8, 11, 12, 15, 16, 19, 20, 21, 24, 26, 29, 31,
32, 35
Ch 6:
Pg 129-131 #2, 3, 7, 12, 13, 15, 16, 20, 22, 24, 26, 27, 28,
29, 31
Activities:
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Distribution Shapes Activity – Gather data to
explore the shapes of various distributions
Mean& Variance Activity – explore the linear
transformations of random variables and
sums/differences of independent random
variables
Comparing & Matching Graphs Activity – adapted
from Activity-Based Statistics.
Teacher Generated Worksheets:
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Mean & Variance Worksheet
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Comparative Boxplots Worksheet
Read:
pp. 146-244
Suggested Homework:
Ch. 7: #1, 5, 6, 10, 12, 14, 18, 20, 23
Ch. 8: #2, 3, 7, 8, 9, 10, 18, 22, 25, 26, 31, 32, 35
Ch. 9: #2, 9, 10, 12, 13, 20
Ch. 10: #2, 4, 6, 7, 8, 27
Teacher-Generated Worksheets:
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Regression Worksheet
Logarithm Review Worksheet
Non-linear Regression Worksheet
Activities:
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Regression Activity #1 – explore what happens to
LSRL & correlation coefficient when different
points are added to a data set
Assessments
Quizzes:
Chapters 2, 3, 4,
5, 6
Tests:
Unit 1 Test
Projects:
Indian Tribe
Project (small
project) – Use
known statistics
to predict
identity of
unknown Indian
tribe.
Quizzes:
Chapters 7, 8, 9,
10
Test:
Unit 2
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Unit 3
(4 Weeks)
Gathering Data
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Census
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Sampling methods:
SRS. stratified,
systematic, cluster,
multi-stage sampling
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Sources of bias in
samples
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Completely randomize
experiment
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Randomized block
design
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Matched pairs
experiment
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Observational studies
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Principles of
experimental design:
randomization,
replication & control
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Sources of bias in
experiments:
confounding, placebo
effect, blinding
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Population of interest
& generalizability of
results
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Design & carry out
simulations to model
various events
Unit 4
(5 Weeks)
Randomness and Probability
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Combinatorics
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Probability rules for
addition & multiplication
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Mutually exclusive events
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Independent events
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Law of large numbers
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Conditional probability
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Contingency tables
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:
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http://www.stat.uiuc.edu/~stat100/
java/GCApplet/GCAppletFrame.html
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http://www.keypress.com/sketchpad/
java_gsp/squares.html
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http://www.ruf.rice.edu/~lane/stat_
sim/reg_by_eye/index.html
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http://www.stat.sc.edu/~west/javaht
ml/Regression.html
Read:
Quizzes:
pp. 255-316
Suggested Homework:
Chapters 11, 12,
13
Ch 11: #9, 10, 11, 12, 13, 14, 18
Ch 12: #1, 3, 8, 11, 12, 14, 20
Ch 13: #6, 7, 8, 10, 23, 24, 26, 30, 32
Test:
Teacher-Generated Worksheets:
Project:
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Simulation Worksheet #1
Simulation Worksheet #2
Sampling Design Worksheet
Experimental Design Worksheet
Activities:
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Jelly Blubber Colony Activity – model each
sampling method
Experimental design activity – design experiment
to test given items
Unit 3
Gummy Bear
Project – design
a well-controlled
experiment,
analyze data
(summary
statistics), and
write a report
with computergenerated
graphs
Read:
Quizzes:
pp. 324-404
Suggested Homework:
Ch. 14: #8, 9, 11, 12, 14, 16, 21
Ch. 15: #3, 6, 8, 10, 16, 18, 23, 26, 28, 30, 32, 34, 35
Ch. 16: #2, 3, 5, 16, 18, 19, 21, 22, 24, 25, 27, 34, 37
Ch. 17: #3, 5, 7, 12, 13, 14, 16, 19, 20, 29
Chapter 14, 15,
16, 17
Tests:
Unit 4A
Unit 4B
Teacher-Generated Worksheets:
Unit 5
(5 weeks)
From the Data at Hand to the
World at Large
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Sampling Distributions ( x
&
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Unit 6
p)
Central Limit Theorem
Simulate sampling
distributions
Standard error
Confidence Interval for
means & proportions
Margin of error
Properties of confidence
intervals
Calculation &
interpretation of
confidence intervals
Hypothesis statements
P-values
Significance level
Critical value
Calculate & interpret
hypothesis test
Type I & II Errors
Power
(2 weeks)
Learning About the World
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Properties of tdistributions
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1- & 2-sample t-interval &
t-test
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Pooling
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Paired data
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Conditional Probability Worksheet
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Probability Review
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Combinatorics Worksheet #1
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Combinatorics Worksheet #2
Read:
pp. 411-518
Suggested Homework:
Ch. 18: #1, 2, 9, 11, 12, 13, 17, 22, 24, 28, 30, 33
Ch. 19: #1, 4, 7, 8, 10, 12, 14, 18, 20, 22, 25, 26, 30, 32
Ch. 20: #1, 2, 7, 8, 9, 10, 11, 13, 16, 17, 18, 21, 24
Ch. 21: #3, 4, 7, 8, 9, 12, 13, 14, 15
Ch. 22: #1, 2, 3, 4, 6, 9, 10, 16, 18, 21
Teacher-Generated Worksheets:
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Sampling Distribution of x Worksheet
Sampling Distribution Worksheet
Confidence Intervals Worksheet #1
Confidence Intervals Worksheet #2
Hypothesis Worksheet #1
Hypothesis Worksheet #2
Hypothesis Worksheet #3
One-Sample Mixed Inference Worksheet
Error Types Worksheet
Power Worksheet
Mixed Inference Review Worksheet
Activities:
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Sampling Distribution Activity – adapted from
Decisions with Data - perform sampling from a
population to explore the relation between sample
size & variance of sampling distribution
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Internet Activity – investigate the Central Limit
Theorem using
www.ruf.rice.edu/~lane/stat_sim/sampling
_dist/index.html
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Sampling Distribution Activity – simulate sampling
distribution with proportions
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Proportion Activity – gather data to perform
inference procedures
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Confidence Interval Activity #1 – explore the
effect of sample size on width of interval, etc.
Read:
pp. 530-601
Quizzes:
Chapter 18, 19,
20, 21, 22
Tests:
Unit 5A
Unit 5B
Project:
Choose a topic
from the list
provided by
coaches (one
aspect of their
team they would
like to have
analyzed).
Gather data,
perform the
analysis, & write
a report on you
findings
(including any
appropriate
graphical
displays).
Quizzes:
Suggested Homework:
Ch. 23: #1, 7, 9, 11, 17, 19, 21, 23, 25, 27
Ch. 24: #1, 3, 5, 7, 9, 11, 19, 21
Ch. 25: #1, 3, 4, 5, 6, 9, 11, 14, 15, 19, 20
Chapter 23, 24,
25
Activities:
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Confidence Interval Activity #2 – gather data
with “flying frogs”
Unit 6
Test:
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Unit 7
(4 weeks)
Inference When Variables are
Related
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Two-Sample Mean Activity – simulate sampling
distribution difference of means & proportions
Double Stuff Oreos Activity – weigh the “white
stuff” in a sample of traditional oreos and double
stuff oreos and compare to decide: Is “double
stuff” really double the stuff? In this activity
students are required to decide how to best
select a sample, gather the data, and analyze the
results. It connects all areas of statistics.
Read:
Quizzes:
pp. 618-672
Chapter 26, 27
Suggested Homework:
Test:
Ch. 26: #1, 3, 5, 6, 7, 9, 10, 12, 13, 15, 17, 19
Ch. 27: #1, 3, 4, 5, 7, 9, 13, 14, 15, 21
Unit 7
2
Properties of X
distribution
Goodness-of-fit
Independence
Homogeneity
Regression model
Sampling distribution of
slopes
Calculate & interpret
confidence interval for
slope of LSRL
Calculate & interpret
hypothesis test for slope
of LSRL
Teacher-Generated Worksheets:
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Mixed Hypothesis Worksheet #2
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Mixed Hypothesis Worksheet #3
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LSRL Review Worksheet
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Computer-Generated Output Worksheet
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Non-Linear Data Review Worksheet
Activities:
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Chi-Square Activity – explore the difference
between the
AP Review
(6 weeks)
Review Major Topics
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Explanatory Data Analysis
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Probability & Distributions
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Sampling & Experimental
Design
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Inference
X2
tests
Teacher-generated worksheets & old exam questions
Tests:
Mock AP Exams
Final Project:
Design a study,
gather data,
analyze data, &
write report
including
computergenerated
results & graphs.