SASD Curriculum Map Content Area:_Mathematics
UNIT Title/Focus
DRIVING
QUESTION(S)
Course:_University of Pittsburgh Statistics
TIME OF YEAR/LENGTH
(E.G. Oct-Nov/3 weeks)
Introduction
First Week of September
What is Statistics? What can it be used for and where do we see it?
CONTENT
VOCABULARY
TOPIC
ELIGIBLE CONTENT/
STANDARDS
OBJECTIVES
What is
statistics?
General background info
Types of data
Identify data types: Quantitative or Categorical
ASSESSMENT
RESOURCES
SASD Curriculum Map Content Area:_Mathematics
UNIT Title/Focus
DRIVING
QUESTION(S)
Course:_University of Pittsburgh Statistics
TIME OF YEAR/LENGTH
(E.G. Oct-Nov/3 weeks)
Descriptive Statistics (one variable)
September to Early October (3-4 weeks)
How can data be displayed in an easy to understand format? What can we use to describe data?
CONTENT
VOCABULARY
TOPIC
ELIGIBLE CONTENT/
STANDARDS
Descriptive
Statistics
Involving One
Variable
UNIT Title/Focus
DRIVING
QUESTION(S)
OBJECTIVES
ASSESSMENT
RESOURCES
Students should be able to construct and interpret:
Histograms, box plots, symmetry and skewness, mean,
median, percentiles, range, interquartile range, the standard
deviation.
TIME OF YEAR/LENGTH
(E.G. Oct-Nov/3 weeks)
Association and Regression
Early October to Late October (3 weeks)
How can I represent, describe, and model the association between two quantitative variables?
CONTENT
VOCABULARY
TOPIC
Descriptive
Statistics
Involving One
Variable
ELIGIBLE CONTENT/
STANDARDS
OBJECTIVES
Students should be able to construct and interpret: Scatter
plots, correlation, fitting straight lines, meaning of slope and
intercept, residuals, coefficient of determination (r-squared)
ASSESSMENT
RESOURCES
SASD Curriculum Map Content Area:_Mathematics
UNIT Title/Focus
DRIVING
QUESTION(S)
Course:_University of Pittsburgh Statistics
TIME OF YEAR/LENGTH
(E.G. Oct-Nov/3 weeks)
Causation and Evidence
Late October to Late November (3-4 weeks)
How can I reliably gather data and evidence in a sample to accurately represent a population?
CONTENT
VOCABULARY
TOPIC
ELIGIBLE CONTENT/
STANDARDS
Simulation,
Sampling, and
Study Design
UNIT Title/Focus
DRIVING
QUESTION(S)
OBJECTIVES
ASSESSMENT
RESOURCES
Students should be able to make use of observational studies
or experiments to attempt to answer questions of causation.
Some basic types of sampling and experiments-stratified
samples, simple and blocked designs.
TIME OF YEAR/LENGTH
(E.G. Oct-Nov/3 weeks)
Probability
Late November to Early January (3-4 weeks)
What are the basic rules of probability? How can I remove any misconceptions I have concerning probability?
CONTENT
VOCABULARY
TOPIC
Probability
ELIGIBLE CONTENT/
STANDARDS
OBJECTIVES
Students should be able to identify and describe random
variables and their distributions: Basic probability rules,
discrete random variables, rules for means and variances.
Statistical independence, independent observations. Normal
and binomial distributions.
ASSESSMENT
RESOURCES
SASD Curriculum Map Content Area:_Mathematics
UNIT Title/Focus
DRIVING
QUESTION(S)
Distribution of sample proportion and distribution of sample
mean from random samples
Course:_University of Pittsburgh Statistics
TIME OF YEAR/LENGTH
(E.G. Oct-Nov/3 weeks)
Early January to Late January (2-3 weeks)
What rules to random samples from a population (means and proportions) follow?
CONTENT
VOCABULARY
TOPIC
ELIGIBLE CONTENT/
STANDARDS
Sampling
Distributions of
Means and
Proportions
UNIT Title/Focus
DRIVING
QUESTION(S)
OBJECTIVES
ASSESSMENT
RESOURCES
Students should be able to discuss and apply the Central limit
Theorem, law of large numbers. Hands-on or computer
simulations of sampling distributions. Calculate probabilities.
Confidence intervals for means (known standard deviation) and
proportions in one sample
TIME OF YEAR/LENGTH
(E.G. Oct-Nov/3 weeks)
Late January to Mid February (2-3 weeks)
How can I make predictions about a population based on a random sample?
CONTENT
VOCABULARY
TOPIC
Confidence
Intervals for
Mean and
Proportion
ELIGIBLE CONTENT/
STANDARDS
OBJECTIVES
Students should be able to construct confidence intervals from
data; use computer experiments to illustrate concept.
ASSESSMENT
RESOURCES
SASD Curriculum Map Content Area:_Mathematics
UNIT Title/Focus
DRIVING
QUESTION(S)
Tests of hypotheses about means (known standard deviation)
and proportions in one sample
Course:_University of Pittsburgh Statistics
TIME OF YEAR/LENGTH
(E.G. Oct-Nov/3 weeks)
Mid February to Mid March (3-4 weeks)
How can I test claims about populations based on a random sample?
CONTENT
VOCABULARY
TOPIC
ELIGIBLE CONTENT/
STANDARDS
Hypothesis
Testing for
Mean and
Proportion
UNIT Title/Focus
DRIVING
QUESTION(S)
OBJECTIVES
ASSESSMENT
RESOURCES
Students should be able to calculate and interpret P-value,
level of significance. Type I and Type II error. Meaning of (but
not calculation of) power and relation to effect size, sample
size, and size of standard deviation. Computer experiments to
illustrate these concepts.
TIME OF YEAR/LENGTH
(E.G. Oct-Nov/3 weeks)
One-sample, paired-sample and two-sample t-tests
Mid March to Mid April (3-4 weeks)
How can I make predictions and test claims about a population based on a random sample?
CONTENT
VOCABULARY
TOPIC
Hypothesis
Testing for more
variable
situations
ELIGIBLE CONTENT/
STANDARDS
OBJECTIVES
Students should be able to understand importance of degrees
of freedom and use of t-tables. Related confidence intervals.
Interpretation of computer output concerning tests and
confidence intervals. Advantages and disadvantages of paired
designs over two sample designs.
ASSESSMENT
RESOURCES
SASD Curriculum Map Content Area:_Mathematics
UNIT Title/Focus
DRIVING
QUESTION(S)
Course:_University of Pittsburgh Statistics
TIME OF YEAR/LENGTH
(E.G. Oct-Nov/3 weeks)
Introduction to more advance topics
Mid April to Mid May (3-4 weeks)
How can I make predictions and test claims about a population based on a random sample?
CONTENT
VOCABULARY
TOPIC
ELIGIBLE CONTENT/
STANDARDS
Advanced
Hypothesis
Testing and
Confidence
Intervals
UNIT Title/Focus
DRIVING
QUESTION(S)
OBJECTIVES
ASSESSMENT
RESOURCES
Students should be able to construct and interpret one-way
analysis of variance tests (ANOVA table, degrees of freedom,
sums of squares and mean squares, F statistic and F tables),
contingency tables and chi-square tests for independence,
inference concerning the slope(s) and intercept in linear
regression models.
TIME OF YEAR/LENGTH
(E.G. Oct-Nov/3 weeks)
Review of Course Content
Mid May to Early June (1-2 weeks)
What have I learned this year?
CONTENT
VOCABULARY
TOPIC
All course
content
ELIGIBLE CONTENT/
STANDARDS
OBJECTIVES
Recall all course content for final exam
ASSESSMENT
RESOURCES
SASD Curriculum Map Content Area:_Mathematics
Course:_University of Pittsburgh Statistics