ROSE TREE MEDIA SCHOOL DISTRICT
COURSE CURRICULUM
COURSE TITLE: INTRODUCTION TO STATISTICS
GRADE LEVEL: HIGH SCHOOL
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
Aligned Materials/
Resources/Technology
Benchmark/Skills
Assessment
Introduction /Definition of Statistics
Benchmark # 1 The student will understand
the meaning of statistics and its’ uses in real
life situations.
a) Define statistics.
b) Describe how to collect, organize,
analyze, and interpret information.
c) Discover fields of study where
knowledge of statistics is essential.
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,
reading assignments, written
papers, teacher observation of
students’ work, group
activities, board work,
projects, etc.
Introduction to Statistics – High School
Approx. Time Allotment:
Page 1
Understandable Statistics, (6th
edition) – Brase / Brase,
Houghton Mifflin 1999.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
with overhead view screen.
Videos available in the
Penncrest Math Office.
Instructional Strategies
Instructional strategies by the
teacher will include lecture,
demonstration, review, 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: 2.6.11.E; 2.6.11.G; 2.6.11.H
Adaptations/Inclusion Techniques
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. This
would require students
covering sections in the
text independently.
Students can access
previous AP exam
questions on the AP
website. This website
includes the questions
and answers as well as
an explanation to the
scores given for sample
responses.
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.
Introduction to Statistics – High School
Page 2
Remediation Strategies
After school help sessions are
available as pre-arranged by the
student and teacher.
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.
-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
Organizing Data
Benchmark #1 The student will
organize and interpret data to make
conclusions.
a) Use information from a sample
to draw conclusions about a
population.
b) Construct a random sample
using a random number table.
c) Interpret data presented in
various graphs such as bar graphs,
pictograms, circle graphs, pareto
charts and time plots.
d) Interpret data presented in
histograms and frequency tables.
e) Analyze data using stem-andleaf 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:
homework, class work, reading
assignments, written papers,
teacher observation of students’
work, group activities, board work,
projects, etc.
Introduction to Statistics – High School
Page 3
Understandable Statistics, (6th
edition) – Brase / Brase, Houghton
Mifflin 1999.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
with overhead view screen.
Videos available in the Penncrest
Math Office.
Instructional Strategies
Instructional strategies by the
teacher will include lecture,
demonstration, review, 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
Adaptations/Inclusion Techniques
Approx. Time Allotment:
Enrichment Strategies
Remediation Strategies
Students may choose to
prepare for the AP
examination. This would
require students covering
Adaptations may include extended time on tests and sections in the text
assignments (not more than twice the given amount), independently. Students
preferential seating, after school help, or modified
can access previous AP
homework assignments.
exam questions on the AP
website. This website
includes the questions and
answers as well as an
explanation to the scores
given for sample
responses.
After school help sessions
are available as prearranged by the student
and teacher.
Adaptations for students with special instructional
needs will be met in accordance with each student’s
Individual Educational Plan.
Introduction to Statistics – High School
Page 4
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
Averages and Variation
Benchmark # 1
a) Summarize numerical data using
mean, median, mode, range, variance,
and standard deviation.
b) Determine mean and standard
deviation of grouped data.
c) 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, reading
assignments, written papers,
teacher observation of students’
work, group activities, board
work, projects, etc.
Introduction to Statistics – High School
Approx. Time Allotment:
Page 5
Understandable Statistics, (6th
edition) – Brase / Brase, Houghton
Mifflin 1999.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
with overhead view screen.
Videos available in the Penncrest
Math Office.
Instructional Strategies
Instructional strategies by the
teacher will include lecture,
demonstration, review, 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:
Adaptations/Inclusion Techniques
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. This would
require students covering
sections in the text
independently. Students
can access previous AP
exam questions on the AP
website. This website
includes the questions and
answers as well as an
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.
Introduction to Statistics – High School
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 Theory
PA Standards: 2.7.11.B; 2.7.11.E
Benchmark/Skills
Benchmark # 1
a) Define probability, statistical
experiments, and sample space.
b) Solve probabilities of independent
and dependent events, mutually
exclusive and inclusive events,
conditional and compound
probabilities.
c) Create tree diagrams to illustrate
the fundamental counting principle
Introduction to Statistics – High School
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, reading
assignments, written papers,
teacher observation of students’
work, group activities, board
work, projects, etc.
Page 7
Understandable Statistics, (6th
edition) – Brase / Brase, Houghton
Mifflin 1999.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
with overhead view screen.
Videos available in the Penncrest
Math Office.
Instructional Strategies
Instructional strategies by the
teacher will include lecture,
demonstration, review, 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 Theory
PA Standards: 2.7.11.B; 2.7.11.E
Approx. Time Allotment:
Adaptations/Inclusion Techniques
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. This would
require students covering
sections in the text
independently. Students
can access previous AP
exam questions on the AP
website. This website
includes the questions and
answers as well as an
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.
Introduction to Statistics – High School
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
Benchmark/Skills
Benchmark # 1
a) Examine discrete probability
distributions.
b) Calculate the expected value and
standard deviation for these
probability distributions.
c) Use the Binomial Theorem to
calculate the probability of binomial
experiments.
d) Graph binomial distributions.
(optional)
Introduction to Statistics – High School
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, reading
assignments, written papers,
teacher observation of students’
work, group activities, board
work, projects, etc.
Page 9
Understandable Statistics, (6th
edition) – Brase / Brase, Houghton
Mifflin 1999.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
with overhead view screen.
Videos available in the Penncrest
Math Office.
Instructional Strategies
Instructional strategies by the
teacher will include lecture,
demonstration, review, 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:
Adaptations/Inclusion Techniques
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. This would
require students covering
sections in the text
independently. Students
can access previous AP
exam questions on the AP
website. This website
includes the questions and
answers as well as an
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.
Introduction to Statistics – High School
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
Benchmark/Skills
Benchmark # 1
a) Analyze the normal distribution
and its occurrence in real life.
b) Use the normal distribution curve
to convert “x” values into “z” score.
Introduction to Statistics – High School
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, reading
assignments, written papers,
teacher observation of students’
work, group activities, board
work, projects, etc.
Page 11
Understandable Statistics, (6th
edition) – Brase / Brase, Houghton
Mifflin 1999.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
with overhead view screen.
Videos available in the Penncrest
Math Office.
Instructional Strategies
Instructional strategies by the
teacher will include lecture,
demonstration, review, 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
Adaptations/Inclusion Techniques
Approx. Time Allotment:
Enrichment Strategies
Adaptations for students with special instructional Students may choose to
needs will be met in accordance with each
prepare for the AP
student’s Individual Educational Plan.
examination. This would
require students covering
Adaptations may include extended time on tests
sections in the text
and assignments (not more than twice the given
independently. Students
amount), preferential seating, after school help, or can access previous AP
modified homework assignments.
exam questions on the AP
website. This website
includes the questions and
answers as well as an
explanation to the scores
given for sample responses.
Introduction to Statistics – High School
Page 12
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.
- 12 -
November 2003
Essential Question, Concept or Theme: G. Regression and Correlation
PA Standards: 2.6.11.C; 2.6.11.D; 2.6.11.E
Benchmark/Skills
G. Regression and Correlation
Benchmark # 1
a) Analyze paired data using
scatterplots.
b) Estimate the strength of
correlation using regression lines.
c) Estimate standard of error and
confidence bounds.
d) Calculate the Pearson product
moment correlation coefficient and
the coefficient of determination.
e) Determine the significance of the
correlation.
Introduction to Statistics – High School
Approx. Time Allotment:
Aligned Materials/
Resources/Technology
Assessment
A – G:
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, reading
assignments, written papers,
teacher observation of students’
work, group activities, board
work, projects, etc.
Page 13
Understandable Statistics, (6th
edition) – Brase / Brase, Houghton
Mifflin 1999.
Teacher resource materials
associated with the text.
TI 83 Plus Graphing Calculator
with overhead view screen.
Videos available in the Penncrest
Math Office.
Instructional Strategies
A – G:
Instructional strategies by the
teacher will include lecture,
demonstration, review, 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. Regression and Correlation
PA Standards: 2.6.11.C; 2.6.11.D; 2.6.11.E
Approx. Time Allotment:
Adaptations/Inclusion Techniques
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. This would
require students covering
sections in the text
independently. Students
can access previous AP
exam questions on the AP
website. This website
includes the questions and
answers as well as an
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.
Introduction to Statistics – High School
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