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```ROSE TREE MEDIA SCHOOL DISTRICT
COURSE CURRICULUM
COURSE TITLE: AP STATISTICS
CREATION DATE: November 2003
Essential Question, Concept or Theme: A. Introduction / Definition of Statistics
PA Standards: 2.6.11.E, 2.6.11.G, 2.6.11.H
Benchmark/Skills
Define statistics
Describe how to collect, organize, analyze,
and interpret information.
Discover fields of study where knowledge
of statistics are essential.
Approx. Time Allotment:
Aligned Materials/
Resources/Technology
Assessment
At least one major test and /
or one to two quizzes per unit
will be used as a minimum.
Final Examination
Other forms of assessment
may include but not limited
to: homework, class work,
written papers, teacher
observation of students’ work,
group activities, board work,
etc.
Page 1
Understandable Statistics, (7th
edition) – Brase / Brase,
Houghton Mifflin 2003.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
activites.
Videos.
Instructional Strategies
Instructional strategies by the
teacher will include: lecture,
demonstration, review, Excel
activities, and graphing calculator
activities.
Optional strategies may include but
are not limited to: videos,
discovery-learning, group work,
jigsaw, or any variety of classroom
activities as suggested by the
Professional Development
Coordinator.
-1-
November 2003
Essential Question, Concept or Theme: A. Introduction / Definition of Statistics
PA Standards:
instructional needs will be met in accordance
with each student’s Individual Educational Plan.
Adaptations may include extended time on tests
and assignments (not more than twice the given
amount), preferential seating, after school help,
or modified homework assignments.
Enrichment Strategies
Approx. Time Allotment:
Remediation Strategies
Students may choose to After school help sessions are
prepare for the AP
available as pre-arranged by the
examination. Students
student and teacher.
can access previous AP
exam questions on the
AP website. This
website includes the
as well as an
explanation to the scores
given for sample
responses.
Page 2
Multicultural/Interdisciplinary
Connection
Statistics lends itself to have
many connections with Physics,
Chemistry, medicine, marketing,
however, no formal
interdisciplinary curriculum at
this time.
-2-
November 2003
Essential Question, Concept or Theme: B. Organizing Data
PA Standards: 2.6.11.B
Approx. Time Allotment:
Aligned Materials/
Resources/Technology
Benchmark/Skills
Assessment
Use information from a sample to
population.
Construct a random sample using a
random number table.
Determine which type of graph is
appropriate for specific data.
Construct and Interpret data
presented in various graphs such as
bar graphs, pictograms, circle
graphs, pareto charts and time
plots.
Construct and Interpret data
presented in histograms and
frequency tables.
Construct and Analyze data using
stem-and-leaf plots.
At least one major test and / or one
to two quizzes per unit will be used
as a minimum.
Final Examination
Other forms of assessment may
include but not limited to:
assignments, written papers,
teacher observation of students’
work, group activities, board work,
etc.
Page 3
Understandable Statistics, (7th
edition) – Brase / Brase, Houghton
Mifflin 2003.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
activites.
Videos.
Instructional Strategies
Instructional strategies by the
teacher will include: lecture,
demonstration, review, Excel
activities, and graphing calculator
activities.
Optional strategies may include but
are not limited to: videos,
discovery-learning, group work,
jigsaw, or any variety of classroom
activities as suggested by the
Professional Development
Coordinator.
-3-
November 2003
Essential Question, Concept or Theme: B. Organizing Data
PA Standards: 2.6.11.B
Approx. Time Allotment:
Enrichment Strategies
Adaptations for students with special instructional
needs will be met in accordance with each student’s
Individual Educational Plan.
Students may choose to
prepare for the AP
examination. Students can
access previous AP exam
Adaptations may include extended time on tests and questions on the AP
assignments (not more than twice the given amount), website. This website
preferential seating, after school help, or modified
includes the questions and
homework assignments.
explanation to the scores
given for sample
responses.
Page 4
Remediation Strategies
After school help sessions
are available as prearranged by the student
and teacher.
Multicultural/Interdisciplinary
Connection
Statistics lends itself to have many
connections with Physics,
Chemistry, medicine, marketing,
advertising, etc . There is however,
no formal interdisciplinary
curriculum at this time.
-4-
November 2003
Essential Question, Concept or Theme: C. Averages and Variation
PA Standards: 2.6.11.A, 2.6.11.B
Aligned Materials/
Resources/Technology
Benchmark/Skills
Assessment
Summarize numerical data using
mean, median, mode, range, variance,
and standard deviation.
Determine mean and standard
deviation of grouped data.
Compute weighted averages and
discuss their applications.
Interpret pecentile scores.
Compute the five-number summary
from raw data.
Construct and interpret box and
whisker plots of data.
At least one major test and / or
one to two quizzes per unit will
be used as a minimum.
Final Examination
Other forms of assessment may
include but not limited to:
homework, class work,
written papers, teacher
observation of students’ work,
group activities, board work,
etc.
Approx. Time Allotment:
Page 5
Understandable Statistics, (7th
edition) – Brase / Brase, Houghton
Mifflin 2003.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
activites.
Videos.
Instructional Strategies
Instructional strategies by the
teacher will include: lecture,
demonstration, review, Excel
activities, and graphing calculator
activities.
Optional strategies may include but
are not limited to: videos,
discovery-learning, group work,
jigsaw, or any variety of classroom
activities as suggested by the
Professional Development
Coordinator.
-5-
November 2003
Essential Question, Concept or Theme: C. Averages and Variation
PA Standards: 2.6.11.A, 2.6.11.B
Approx. Time Allotment:
Enrichment Strategies
Remediation Strategies
instructional needs will be met in accordance
with each student’s Individual Educational Plan.
Students may choose to
prepare for the AP
examination. Students can
access previous AP exam
questions on the AP
website. This website
includes the questions and
explanation to the scores
given for sample
responses.
After school help sessions are
available as pre-arranged by
the student and teacher.
Adaptations may include extended time on tests
and assignments (not more than twice the given
amount), preferential seating, after school help,
or modified homework assignments.
Page 6
Multicultural/Interdisciplinary
Connection
Statistics lends itself to have many
connections with Physics,
Chemistry, medicine, marketing,
advertising, etc . There is however,
no formal interdisciplinary
curriculum at this time.
-6-
November 2003
Essential Question, Concept or Theme: D. Elementary Probability Theories
PA Standards: 2.7.11.B, 2.7.11.E
Aligned Materials/
Resources/Technology
Benchmark/Skills
Assessment
Define probablility, statistical
experiments, and sample space.
Explain how the law of large numbers
relates to relative frequencies.
Solve probabilities of independent
and dependent events, mutually
exclusive and inclusive events,
conditional and compound
probabilities.
Create tree diagrams to illustrate the
fundamental counting principle.
Use Venn Diagrams to illustrate
inclusive events. (optional)
At least one major test and / or
one to two quizzes per unit will
be used as a minimum.
Final Examination
Other forms of assessment may
include but not limited to:
homework, class work,
written papers, teacher
observation of students’ work,
group activities, board work, etc.
Approx. Time Allotment:
Page 7
Understandable Statistics, (7th
edition) – Brase / Brase, Houghton
Mifflin 2003.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
activites.
Videos.
Instructional Strategies
Instructional strategies by the
teacher will include: lecture,
demonstration, review, Excel
activities, and graphing calculator
activities.
Optional strategies may include but
are not limited to: videos,
discovery-learning, group work,
jigsaw, or any variety of classroom
activities as suggested by the
Professional Development
Coordinator.
-7-
November 2003
Essential Question, Concept or Theme: D. Elementary Probability Theories
PA Standards: 2.7.11.B, 2.7.11.E
Approx. Time Allotment:
Enrichment Strategies
Remediation Strategies
Adaptations for students with special instructional
needs will be met in accordance with each
student’s Individual Educational Plan.
Students may choose to
prepare for the AP
examination. Students can
access previous AP exam
questions on the AP
website. This website
includes the questions and
explanation to the scores
given for sample responses.
After school help sessions
are available as prearranged by the student and
teacher.
Adaptations may include extended time on tests
and assignments (not more than twice the given
amount), preferential seating, after school help, or
modified homework assignments.
Page 8
Multicultural/Interdisciplinary
Connection
Statistics lends itself to have many
connections with Physics,
Chemistry, medicine, marketing,
advertising, etc . There is however,
no formal interdisciplinary
curriculum at this time.
-8-
November 2003
Essential Question, Concept or Theme: E. Binomial Probability Distribution
PA Standards: 2.7.11.C, 2.7.11.D
Aligned Materials/
Resources/Technology
Benchmark/Skills
Assessment
Examine discrete probability
distributions.
Calculate the expected value and
standard deviation for these
probability distributions.
Use the Binomial Theorem to
calculate the probability of binomial
experiments.
Graph binomial distributions.
Use Geometric distributions to
compute probabilities.
Use Poisson distributions to compute
probabilities.
At least one major test and / or
one to two quizzes per unit will
be used as a minimum.
Final Examination
Other forms of assessment may
include but not limited to:
homework, class work,
written papers, teacher
observation of students’ work,
group activities, board work, etc.
Approx. Time Allotment:
Page 9
Understandable Statistics, (7th
edition) – Brase / Brase, Houghton
Mifflin 2003.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
activites.
Videos.
Instructional Strategies
Instructional strategies by the
teacher will include: lecture,
demonstration, review, Excel
activities, and graphing calculator
activities.
Optional strategies may include but
are not limited to: videos,
discovery-learning, group work,
jigsaw, or any variety of classroom
activities as suggested by the
Professional Development
Coordinator.
-9-
November 2003
Essential Question, Concept or Theme: E. Binomial Probability Distribution
PA Standards: 2.7.11.C, 2.7.11.D
Approx. Time Allotment:
Enrichment Strategies
Remediation Strategies
Adaptations for students with special instructional
needs will be met in accordance with each
student’s Individual Educational Plan.
Students may choose to
prepare for the AP
examination. Students can
access previous AP exam
questions on the AP
website. This website
includes the questions and
explanation to the scores
given for sample responses.
After school help sessions
are available as prearranged by the student and
teacher.
Adaptations may include extended time on tests
and assignments (not more than twice the given
amount), preferential seating, after school help, or
modified homework assignments.
Page 10
Multicultural/Interdisciplinary
Connection
Statistics lends itself to have many
connections with Physics,
Chemistry, medicine, marketing,
advertising, etc . There is however,
no formal interdisciplinary
curriculum at this time.
- 10 -
November 2003
Essential Question, Concept or Theme: F. Normal Distributions
PA Standards: 2.6.11.I
Approx. Time Allotment:
Aligned Materials/
Resources/Technology
Benchmark/Skills
Assessment
Analyze the normal distribution curve
and its applications in real life
situations.
Use control limits to construct control
charts.
Determine Type I, II and III errors
and possible “out of control” factors.
Use the normal distribution curve to
convert “x” values into “z” scores and
vise versa.
Compute the mean and standard
deviation for the normal
approximation.
Graph a standard distribution curve
and find area under this curve.
At least one major test and / or
one to two quizzes per unit will
be used as a minimum.
Final Examination
Other forms of assessment may
include but not limited to:
homework, class work,
written papers, teacher
observation of students’ work,
group activities, board work, etc.
Page 11
Understandable Statistics, (7th
edition) – Brase / Brase, Houghton
Mifflin 2003.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
activites.
Videos.
Instructional Strategies
Instructional strategies by the
teacher will include: lecture,
demonstration, review, Excel
activities, and graphing calculator
activities.
Optional strategies may include but
are not limited to: videos,
discovery-learning, group work,
jigsaw, or any variety of classroom
activities as suggested by the
Professional Development
Coordinator.
- 11 -
November 2003
Essential Question, Concept or Theme: F. Normal Distributions
PA Standards: 2.6.11.I
Approx. Time Allotment:
Enrichment Strategies
Remediation Strategies
Adaptations for students with special instructional
needs will be met in accordance with each
student’s Individual Educational Plan.
Students may choose to
prepare for the AP
examination. Students can
access previous AP exam
questions on the AP
website. This website
includes the questions and
explanation to the scores
given for sample responses.
After school help sessions
are available as prearranged by the student and
teacher.
Adaptations may include extended time on tests
and assignments (not more than twice the given
amount), preferential seating, after school help, or
modified homework assignments.
Page 12
Multicultural/Interdisciplinary
Connection
Statistics lends itself to have many
connections with Physics,
Chemistry, medicine, marketing,
advertising, etc . There is however,
no formal interdisciplinary
curriculum at this time.
- 12 -
November 2003
Essential Question, Concept or Theme: G. Sampling Distributions
PA Standards: 2.6.11.A
Aligned Materials/
Resources/Technology
Benchmark/Skills
Assessment
Construct relative frequency
distribution for x values and compare
the result to a theoretical sampling
distribution.
Use sample estimates for large
samples to construct a sampling
distribution.
Use the Central Limit Theorem to
generalize any distribution as the
sample size increases in size.
Compute the mean and standard
deviation for proportions.
Construct and interpret P-Charts
At least one major test and / or
one to two quizzes per unit will
be used as a minimum.
Final Examination
Other forms of assessment may
include but not limited to:
homework, class work,
written papers, teacher
observation of students’ work,
group activities, board work, etc.
Approx. Time Allotment:
Page 13
Understandable Statistics, (7th
edition) – Brase / Brase, Houghton
Mifflin 2003.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
activites.
Videos.
Instructional Strategies
Instructional strategies by the
teacher will include: lecture,
demonstration, review, Excel
activities, and graphing calculator
activities.
Optional strategies may include but
are not limited to: videos,
discovery-learning, group work,
jigsaw, or any variety of classroom
activities as suggested by the
Professional Development
Coordinator.
- 13 -
November 2003
Essential Question, Concept or Theme: G. Sampling Distributions
PA Standards: 2.6.11.A
Approx. Time Allotment:
Enrichment Strategies
Remediation Strategies
Adaptations for students with special instructional
needs will be met in accordance with each
student’s Individual Educational Plan.
Students may choose to
prepare for the AP
examination. Students can
access previous AP exam
questions on the AP
website. This website
includes the questions and
explanation to the scores
given for sample responses.
After school help sessions
are available as prearranged by the student and
teacher.
Adaptations may include extended time on tests
and assignments (not more than twice the given
amount), preferential seating, after school help, or
modified homework assignments.
Page 14
Multicultural/Interdisciplinary
Connection
Statistics lends itself to have many
connections with Physics,
Chemistry, medicine, marketing,
advertising, etc . There is however,
no formal interdisciplinary
curriculum at this time.
- 14 -
November 2003
Essential Question, Concept or Theme: H. Estimation with Large and Small Distributions
PA Standards: 2.6.11.F, 2.6.11.H
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
Define confidence level, error of
estimate, and critical values.
Find critical values for a given
confidence level.
Find critical values using the degrees
of freedom and confidence intervals.
Estimate  with small samples.
Compute the maximal error tolerance
for proportions using a given level of
confidence.
Interpret poll results and the margin
of error.
At least one major test and / or
one to two quizzes per unit will
be used as a minimum.
Final Examination
Other forms of assessment may
include but not limited to:
homework, class work,
written papers, teacher
observation of students’ work,
group activities, board work, etc.
Page 15
Understandable Statistics, (7th
edition) – Brase / Brase, Houghton
Mifflin 2003.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
activites.
Videos.
Approx. Time Allotment:
Instructional Strategies
Instructional strategies by the
teacher will include: lecture,
demonstration, review, Excel
activities, and graphing calculator
activities.
Optional strategies may include but
are not limited to: videos,
discovery-learning, group work,
jigsaw, or any variety of classroom
activities as suggested by the
Professional Development
Coordinator.
- 15 -
November 2003
Essential Question, Concept or Theme: H. Estimation with Large and Small Distributions
PA Standards: 2.6.11.F, 2.6.11.H
Enrichment Strategies
Remediation Strategies
Adaptations for students with special instructional
needs will be met in accordance with each
student’s Individual Educational Plan.
Students may choose to
prepare for the AP
examination. Students can
access previous AP exam
questions on the AP
website. This website
includes the questions and
explanation to the scores
given for sample responses.
After school help sessions
are available as prearranged by the student and
teacher.
Adaptations may include extended time on tests
and assignments (not more than twice the given
amount), preferential seating, after school help, or
modified homework assignments.
Page 16
Approx. Time Allotment:
Multicultural/Interdisciplinary
Connection
Statistics lends itself to have many
connections with Physics,
Chemistry, medicine, marketing,
advertising, etc . There is however,
no formal interdisciplinary
curriculum at this time.
- 16 -
November 2003
Essential Question, Concept or Theme: I. Hypothesis Testing
PA Standards: 2.6.11.E
Approx. Time Allotment:
Aligned Materials/
Resources/Technology
Benchmark/Skills
Assessment
Identify the null and alternate
hypotheses in a statistical test.
Recognize types of errors, level of
significance, and power of a test.
Use hypotheses to identify an
appropriate critical region.
Determine whether to accept or reject
the null hypothesis.
Determine whether outcomes are
statistically significant.
Identify the P-value for a statistical
test
Compute P-values for large and small
samples.
Draw conclusions based on P-values.
Identify components needed for
testing a proportion.
Identify paired data and depended
samples.
tests.
Identify independent samples and
sampling distributions.
At least one major test and / or
one to two quizzes per unit will
be used as a minimum.
Final Examination
Other forms of assessment may
include but not limited to:
homework, class work,
written papers, teacher
observation of students’ work,
group activities, board work, etc.
Page 17
Understandable Statistics, (7th
edition) – Brase / Brase, Houghton
Mifflin 2003.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
activites.
Videos.
Instructional Strategies
Instructional strategies by the
teacher will include: lecture,
demonstration, review, Excel
activities, and graphing calculator
activities.
Optional strategies may include but
are not limited to: videos,
discovery-learning, group work,
jigsaw, or any variety of classroom
activities as suggested by the
Professional Development
Coordinator.
- 17 -
November 2003
Essential Question, Concept or Theme: I. Hypothesis Testing
PA Standards: 2.6.11.E
Approx. Time Allotment:
Enrichment Strategies
Remediation Strategies
Adaptations for students with special instructional
needs will be met in accordance with each
student’s Individual Educational Plan.
Students may choose to
prepare for the AP
examination. Students can
access previous AP exam
questions on the AP
website. This website
includes the questions and
explanation to the scores
given for sample responses.
After school help sessions
are available as prearranged by the student and
teacher.
Adaptations may include extended time on tests
and assignments (not more than twice the given
amount), preferential seating, after school help, or
modified homework assignments.
Page 18
Multicultural/Interdisciplinary
Connection
Statistics lends itself to have many
connections with Physics,
Chemistry, medicine, marketing,
advertising, etc . There is however,
no formal interdisciplinary
curriculum at this time.
- 18 -
November 2003
Essential Question, Concept or Theme: J. Regression and Correlation
PA Standards: 2.6.11.C, 2.6.11.D, 2.6.11.E
Benchmark/Skills
Analyze paired data using
scatterplots.
Estimate the strength of correlation
using regression lines.
Estimate standard of error and
confidence bounds.
Calculate the Pearson product
moment/movement correlation
coefficient and the coefficient of
determination.
Determine the significance of the
correlation.
Approx. Time Allotment:
Aligned Materials/
Resources/Technology
Assessment
At least one major test and / or
one to two quizzes per unit will
be used as a minimum.
Final Examination
Other forms of assessment may
include but not limited to:
homework, class work,
written papers, teacher
observation of students’ work,
group activities, board work, etc.
Page 19
Understandable Statistics, (7th
edition) – Brase / Brase, Houghton
Mifflin 2003.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
activites.
Videos.
Instructional Strategies
Instructional strategies by the
teacher will include: lecture,
demonstration, review, Excel
activities, and graphing calculator
activities.
Optional strategies may include but
are not limited to: videos,
discovery-learning, group work,
jigsaw, or any variety of classroom
activities as suggested by the
Professional Development
Coordinator.
- 19 -
November 2003
Essential Question, Concept or Theme: J. Regression and Correlation
PA Standards: 2.6.11.C, 2.6.11.D, 2.6.11.E
Approx. Time Allotment:
Enrichment Strategies
Remediation Strategies
Adaptations for students with special instructional
needs will be met in accordance with each
student’s Individual Educational Plan.
Students may choose to
prepare for the AP
examination. Students can
access previous AP exam
questions on the AP
website. This website
includes the questions and
explanation to the scores
given for sample responses.
After school help sessions
are available as prearranged by the student and
teacher.
Adaptations may include extended time on tests
and assignments (not more than twice the given
amount), preferential seating, after school help, or
modified homework assignments.
Page 20
Multicultural/Interdisciplinary
Connection
Statistics lends itself to have many
connections with Physics,
Chemistry, medicine, marketing,
advertising, etc . There is however,
no formal interdisciplinary
curriculum at this time.
- 20 -
November 2003
Essential Question, Concept or Theme: K. Chi-Square Distributions
PA Standards: 2.6.11.F
Benchmark/Skills
Set up tests to investigate
independence of random variables.
Use contingency tables to compute
the sample x2 statistic.
Compute the test and estimate the Pvalue.
Determine the strength of the given
distribution compared to a sample
distribution.
Compute the x2 statistics given
observed and expected frequencies.
Approx. Time Allotment:
Aligned Materials/
Resources/Technology
Assessment
At least one major test and / or
one to two quizzes per unit will
be used as a minimum.
Final Examination
Other forms of assessment may
include but not limited to:
homework, class work,
written papers, teacher
observation of students’ work,
group activities, board work, etc.
Page 21
Understandable Statistics, (7th
edition) – Brase / Brase, Houghton
Mifflin 2003.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
activites.
Videos.
Instructional Strategies
Instructional strategies by the
teacher will include: lecture,
demonstration, review, Excel
activities, and graphing calculator
activities.
Optional strategies may include but
are not limited to: videos,
discovery-learning, group work,
jigsaw, or any variety of classroom
activities as suggested by the
Professional Development
Coordinator.
- 21 -
November 2003
Essential Question, Concept or Theme: K. Chi-Square Distributions
PA Standards: 2.6.11.F
Approx. Time Allotment:
Enrichment Strategies
Remediation Strategies
Adaptations for students with special instructional
needs will be met in accordance with each
student’s Individual Educational Plan.
Students may choose to
prepare for the AP
examination. Students can
access previous AP exam
questions on the AP
website. This website
includes the questions and
explanation to the scores
given for sample responses.
After school help sessions
are available as prearranged by the student and
teacher.
Adaptations may include extended time on tests
and assignments (not more than twice the given
amount), preferential seating, after school help, or
modified homework assignments.