RADNOR HIGH SCHOOL
Course Overview
Statistic
Course #: 472
General Information
Credits: 1
Weighted: None
Prerequisite: Advanced Algebra III or
Trigonometry
Length: Full Year
Format: Meets Daily
Grade: 12th
Course Description
Statistics is a College Prep course. A College Prep course follows a demanding curriculum prescribed by each
department and to help students progress toward meeting the challenges of competitive college work. College Prep
courses aim to develop higher-order thinking skills, using appropriate pace and content. Students enrolled in a
College Prep course undertake a challenging workload that involves reading, writing, problem solving, and critical
thinking; they will continue to develop independence both inside and outside the classroom. Students receive an unweighted grade in a College Prep course.
The major themes of statistics – describing data through graphical and numerical methods, sampling, anticipating
patterns and statistical inference - are explored, along with the basic concepts of probability.
Common Core Standards
S-ID.1, S-ID.2, S-ID.3, S-ID.4, S-ID.6, S-IC.1, S-IC.2, S-IC.3, S-IC.4, S-IC.5, S-CP.1, S-CP.2, S-CP.3, S-CP.4, SCP.5, S-CP.6, S-CP.7, S-CP.8, S-CP.9, S-MD.1, S-MD.2, S-MD.3, S-MD.4, S-MD.5, S-MD.6
Keystone Connections
MARKING PERIOD ONE
UNIT: 1—Introductioin to Statistics(Chapter 1)
Student Objectives:
At the conclusion of this chapter, students should be able successfully complete the following skills:
 Identify a population, sample, parameter or statistic.
 Identify different types of data.
 Identify different levels of measurement
 Discuss and indentify abuses of statistics.
 Identify different types of experimental designs.
Materials & Texts
Triola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.
Activities, Assignments, & Assessments
Modified 6/20/2011
1
ACTIVITIES
1.1
1.2
1.3
1.4
Overview
The Nature of Data
Uses and Abuses of Statistics
Design of Experiments
ASSIGNMENTS
Assignment sheets will be distributed periodically throughout the school year. Homework will be
assigned on a daily basis. Individual assignments for each chapter can be viewed on the Mathematics
Department page of Radnor High School’s web site.
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition,
teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High
School grading system and scale will be used to determine letter grades.
 Lesson Assessments/Quizzes
 Chapter Tests
Terminology
 Population, census, sample, parameter, statistic, quantitative, qualitative, discrete, continuous,
nominal, ordinal, interval, ratio, self-selected survey, observational study, experiment, placebo
effect, experiment, placebo effect, blinding, confounding, random sample, systematic sampling ,
convenience sampling, stratified sampling, cluster sampling, sampling error, non-sampling error.
Media, Technology, Web Resources
 TI-83/84 Calculator
UNIT: 2—Describing , Exploring and Comparing Data (Chapter 2)
Student Objectives:
At the conclusion of this chapter, students should be able successfully complete the following skills:
 Construct a complete frequency table from a set of data.
 Convert a frequency table into a cumulative and or relative frequency table.
 Construct and interpret (by hand and with calculator) from data and summary statistics
graphical displays of data : histogram, frequency polygon, ogive, dotplots, stemplots, pareto
charts, pie charts, boxplots.
 Compute and Interpret: arithmetic mean, median, mode, midrange, standard deviation, range,
variance, z-scores, quartiles, percentiles, deciles, outliers using 1.5 IQR method and 5-number
summaries .
Materials & Texts
Triola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.
Modified 6/20/2011
2
Activities, Assignments, & Assessments
ACTIVITIES
2.2
Summarizing Data with Frequency Tables
2.3
Pictures of Data
2.4
Measures of Center
2.5
Measures of Variation
2.6
Measures of Position
2.7
Exploratory Data Analysis
ASSIGNMENTS
Assignment sheets will be distributed periodically throughout the school year. Homework will be
assigned on a daily basis. Individual assignments for each chapter can be viewed on the Mathematics
Department page of Radnor High School’s web site.
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition,
teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High
School grading system and scale will be used to determine letter grades.
 Lesson Assessments/Quizzes
 Chapter Tests
Terminology
 Descriptive statistics, inferential statistics, frequency table, class limits, class boundaries, class
midpoints, relative frequency, cumulative frequcny, histogram, relative frequency histogram
frequency polygon, ogive, dotplot, stemplot, pareto chart, pie charts, mean, median, mode,
bimodal, multi-modal, midrange, skewed, symmetric, range, standard deviation, variance, standard
score (z-score) quartile, deciles, percentiles, 5 –number summary, boxplot
Media, Technology, Web Resources
 TI-83/84 Calculator
UNIT: 3—Probability (Chapter 3)
Student Objectives:
At the conclusion of this chapter, students should be able successfully complete the following skills:
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list a sample space
compute simple probabilities
determine odds in favor of and against an event
compute probabilities using the addition rule
compute probabilities using the multiplication rule
identify independent/dependent events
compute conditional probability
Modified 6/20/2011
3


test for independence using conditional probability
compute probability of "at least one" using conditional probability
Materials & Texts
Triola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.
Activities, Assignments, & Assessments
ACTIVITIES
3.2
Fundamentals of Probability
3.3
Addition Rule
3.4
Multiplication Rule
3.5
Multiplication Rule: Complements and Conditional Probability
3.6
Counting
ASSIGNMENTS
Assignment sheets will be distributed periodically throughout the school year. Homework will be
assigned on a daily basis. Individual assignments for each chapter can be viewed on the Mathematics
Department page of Radnor High School’s web site.
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition,
teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High
School grading system and scale will be used to determine letter grades.
 Lesson Assessments/Quizzes
 Chapter Tests
MARKING PERIOD TWO
UNIT: 4—Correlation and Regression (Chapter 9)
Student Objectives:
At the conclusion of this chapter, students should be able successfully complete the following skills:
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
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construct and interpret scatterplots based on form, direction, and shape
compute r given data
match r values with certain graphs
interpret r2
determine least squares regression line
predict (y-hat) using least squares regression line
identify and interpret influential points and outliers
identify relationships between explanatory/response variables and confounded or affected
by another variable
Modified 6/20/2011
4

create and interpret residual plots
Materials & Texts
Triola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.
Activities, Assignments, & Assessments
ACTIVITIES
ASSIGNMENTS
Assignment sheets will be distributed periodically throughout the school year. Homework will be
assigned on a daily basis. Individual assignments for each chapter can be viewed on the Mathematics
Department page of Radnor High School’s web site.
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition,
teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High
School grading system and scale will be used to determine letter grades.
 Lesson Assessments/Quizzes
 Chapter Tests
Terminology
Scatterplot, response variables, explanatory variables, correlation, correlation coefficient (r), r2
least squares regression line, slope, prediction (y-hat), extrapolation, interpolation, influential
points, outliers, causation, common response, confounding, lurking variable, residuals, residual
plot,
Media, Technology, Web Resources
 TI-83/84 Calculator
UNIT: 5—Probability Distributions (Chapter 4)
Student Objectives:
At the conclusion of this chapter, students should be able successfully complete the following skills:
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identify discrete and continuous random variables
verify valid probability distributions
create probability histograms
compute mean of expected value, variance, standard deviation of a probability distribution
determine if outcomes are "unusual"
determine if an event is binomial
compute probability of binomial events using the formula and technology
Modified 6/20/2011
5
Materials & Texts
Triola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.
Activities, Assignments, & Assessments
ACTIVITIES
4.2
Random Variables
4.3
Binomial Probability Distributions
4.4
Mean, Variance and Standard Deviation for the Binomial Distribution
ASSIGNMENTS
Assignment sheets will be distributed periodically throughout the school year. Homework will be
assigned on a daily basis. Individual assignments for each chapter can be viewed on the Mathematics
Department page of Radnor High School’s web site.
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition,
teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High
School grading system and scale will be used to determine letter grades.
 Lesson Assessments/Quizzes
 Chapter Tests
Terminology
random variable, discrete, continuous, probability distribution, probability histogram,
expected value, unusual events, binomial distribution
Media, Technology, Web Resources
 TI-83/84 Calculator
MARKING PERIOD THREE
UNIT: 6—Normal Probability Distributions (Chapter 5)
Student Objectives:
At the conclusion of this chapter, students should be able successfully complete the following skills:





compute probability based on a given z-score and direction
determine a z-score to a corresponding probability
given data and an event, compute probabilities using z-scores and normal distributions
given a percentage of probability, find its corresponding value using z-score and normal
distribution
compute standard error
Modified 6/20/2011
6
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compute sample mean
compute probability of an event using the Central Limit Theorem
compute value using Central Limit Theorem
determine Rare Event Rule
Materials & Texts
Triola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.
Activities, Assignments, & Assessments
ACTIVITIES
5.2
Standard Normal Distribution
5.3
Normal Distribution: Finding Probabilities
5.4
Normal Distribution: Finding Values
5.5
The Central Limit Theorem
ASSIGNMENTS
Assignment sheets will be distributed periodically throughout the school year. Homework will be
assigned on a daily basis. Individual assignments for each chapter can be viewed on the Mathematics
Department page of Radnor High School’s web site.
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition,
teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High
School grading system and scale will be used to determine letter grades.
 Lesson Assessments/Quizzes
 Chapter Tests
Terminology
z-score, z-score equation, standard normal distribution, normal distribution, uniform distribution
density curve, Central Limit Theorem, sampling distribution, standard error, sample mean, rare
event rule
Media, Technology, Web Resources
 TI-83/84 Calculator
UNIT: 7—Estimates and Sample Sizes (Chapter 6)
Student Objectives:
At the conclusion of this chapter, students should be able successfully complete the following skills:

determine critical value for a given level of confidence
Modified 6/20/2011
7
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compute margin of error
create confidence interval
find point estimate and/or margin of error given a confidence interval
interpret a confidence interval
compare t- and normal distributions
compute sample size for a given situation
compute p-hat given x and y
Materials & Texts
Triola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.
Activities, Assignments, & Assessments
ACTIVITIES
6.2
Estimating Population Mean: Large Samples
6.3
Estimating Population Mean: Small Samples
6.4
Determining Sample Size Required to Estimate Population Mean
6.5
Estimating Population Proportion
ASSIGNMENTS
Assignment sheets will be distributed periodically throughout the school year. Homework will be
assigned on a daily basis. Individual assignments for each chapter can be viewed on the Mathematics
Department page of Radnor High School’s web site.
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition,
teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High
School grading system and scale will be used to determine letter grades.
 Lesson Assessments/Quizzes
 Chapter Tests
Terminology
point estimate, unbiased estimation, confidence interval, margin of error, critical value, student's
t-distribution, degrees of freedom, define sample proportion (p-hat)
Media, Technology, Web Resources
 TI-83/84 Calculator
UNIT: 8—Hypothesis Testing (Chapter 7)
Modified 6/20/2011
8
Student Objectives:
At the conclusion of this chapter, students should be able successfully complete the following skills:

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
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write null and alternative hypotheses from a claim
compute a test statistic
state conclusions from a test
identify Type I and Type II errors
test claims using the p-value method
Materials & Texts
Triola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.
Activities, Assignments, & Assessments
ACTIVITIES
7.2
Fundamentals of Hypothesis Testing
7.3
Testing a Claim about a Mean: Large Samples
ASSIGNMENTS
Assignment sheets will be distributed periodically throughout the school year. Homework will be
assigned on a daily basis. Individual assignments for each chapter can be viewed on the Mathematics
Department page of Radnor High School’s web site.
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition,
teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High
School grading system and scale will be used to determine letter grades.
 Lesson Assessments/Quizzes
 Chapter Tests
Terminology
Hypothesis, null hypothesis, alternative hypothesis, test statistic, left-, right-, and two-tailed test
Type I and Type II errors, p-value
Media, Technology, Web Resources
 TI-83/84 Calculator
MARKING PERIOD FOUR
UNIT: 8—Hypothesis Testing (Chapter 7) - Continued
Modified 6/20/2011
9
Student Objectives:
At the conclusion of this chapter, students should be able successfully complete the following skills:






write null and alternative hypotheses from a claim
compute a test statistic
state conclusions from a test
identify Type I and Type II errors
test claims using the p-value method
determine the appropriate method to test claims using the p-value method
Materials & Texts
Triola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.
Activities, Assignments, & Assessments
ACTIVITIES
7.4
Testing a Claim about a Mean: Small Samples
7.5
Testing a Claim about a Proportion
ASSIGNMENTS
Assignment sheets will be distributed periodically throughout the school year. Homework will be
assigned on a daily basis. Individual assignments for each chapter can be viewed on the Mathematics
Department page of Radnor High School’s web site.
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition,
teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High
School grading system and scale will be used to determine letter grades.
 Lesson Assessments/Quizzes
 Chapter Tests
Terminology
Hypothesis, null hypothesis, alternative hypothesis, test statistic, left-, right-, and two-tailed test
Type I and Type II errors, p-value
Media, Technology, Web Resources
 TI-83/84 Calculator
UNIT: 9—Inference about Two Means (Chapter 8)
Modified 6/20/2011
10
Student Objectives:
At the conclusion of this chapter, students should be able successfully complete the following skills:






write null and alternative hypotheses from a claim
compute a test statistic
state conclusions from a test
identify Type I and Type II errors
test claims using the p-value method
determine the appropriate method to test claims using the p-value method
Materials & Texts
Triola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.
Activities, Assignments, & Assessments
ACTIVITIES
8.2
Inference about Two Means: Large Samples
8.3
Inference about Two Means: Matched Pairs
8.4
Inference about Two Proportions
ASSIGNMENTS
Assignment sheets will be distributed periodically throughout the school year. Homework will be
assigned on a daily basis. Individual assignments for each chapter can be viewed on the Mathematics
Department page of Radnor High School’s web site.
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition,
teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High
School grading system and scale will be used to determine letter grades.
 Lesson Assessments/Quizzes
 Chapter Tests
Terminology
Matched pairs.
Media, Technology, Web Resources
 TI-83/84 Calculator
UNIT: 10—Chi- Square (Chapter 10)
Student Objectives:
At the conclusion of this chapter, students should be able successfully complete the following skills:
Modified 6/20/2011
11
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

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compute observed and expected values
compute Chi-square statistic value
perform goodness-of-fit test
perform test of independence
Materials & Texts
Triola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.
Activities, Assignments, & Assessments
ACTIVITIES
10.2
Multinomial Experiments: Goodness-of-Fit
10.3 Contingency Tables: Independence and Homogeneity
ASSIGNMENTS
Assignment sheets will be distributed periodically throughout the school year. Homework will be
assigned on a daily basis. Individual assignments for each chapter can be viewed on the Mathematics
Department page of Radnor High School’s web site.
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition,
teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High
School grading system and scale will be used to determine letter grades.
 Lesson Assessments/Quizzes
 Chapter Tests
Terminology
Chi square test statistic, goodness-of-fit test, observed value, expected value, tests of
independence, tests of homogeneity
Media, Technology, Web Resources
 TI-83/84 Calculator
Modified 6/20/2011
12