Download 2016-17 Stats Syllabus

MATHEMATICS DEPARTMENT SYLLABUS/TIMLINE
Statistics
INSTRUCTOR: MR. CHARNLEY
SCHOOL YEAR: 2016-17
COURSE NUMBER: 331
COURSE DESCRIPTION
This is the fourth course in the college preparatory mathematics sequence. Units of study include Picturing Variations with Graphs,
Numerical Summaries of Center of Variation, Regression Analysis, Modeling Variation with Probability, Modeling Random events,
Survey Sampling, and Hypothesis Testing.
Technological tools, such as the TI graphing calculator, will be used for both discovery and problem solving.
Classroom sets of graphing calculators will be provided.
ENDURING UNDERSTANDINGS
The Student will be able to:
1. Use the language and symbols of basic statistics.
2. Gather and analyze data.
3. Provide graphic displays for data and interpret graphs and charts.
4. Determine whether or not a statistical hypothesis is significant.
5. Read and understand the summarized results of a statistical experiment performed by others.
6. Use a statistical package to summarize or compile and interpret the results of statistical experiments.
CREDIT:
1 credit
LEVEL:
12 – Regular
PREREQUISITES
This course is for students who have successfully completed Algebra 2.
AREAS OF STUDY
First Semester
1. Introduction to Data
2. Picturing Variations with Graphs
3. Numerical Summaries of Center of Variations
4. Regression Analysis: Exploring Associations between Variables
5. Modeling Variations with Probability
Second Semester
6. Modeling Random Events
7. Survey Sampling and Inference
8. Hypothesis Testing for Population Proportions
9. Inferring Population Means
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TIMELINES
STATISTICS - First Semester
Note: “Optional” sections may be taught at the teacher’s discretion, but will not be tested on the final exam.
Suggested Timelines
CH. 1 Introduction to Data
1.1 What Are Data?
1.2 Classifying and Storing Data
1.3 Organizing Categorical Data
1.4 Collecting Data to Understand Causality
10 days
CH. 2 Picturing Variations with Graphs
10 Days
2.1 Visualizing variation in Numerical Data
2.2 Summarizing important features of a numerical distribution
2.3 Visualizing variation in categorical variables
2.4 Summarizing categorical distributions
2.5 Interpreting Graphs
CH. 3 Numerical Summaries of Center of Variation
3.1 Summaries for symmetric distributions
3.2
3.3
3.4
3.5
20 days
Suggested Timelines
CH. 4 Regression Analysis:
4.1 Visualizing variables with a scatterplot
4.2 Measuring strength of association with correlation
4.3 Modeling linear trends
4.4 Evaluating the linear model
13 Days
CH. 5 Modeling Variation with Probability
12 Days
5.1 What is randomness?
5.2 Finding theoretical probabilities
5.4. Finding empirical probabilities
CH. 6 Modeling Random Events
6.1 Probability distributions of random experiments
6.2 The Normal model
6.3 The binomial model
15 Days
Number of Teaching Days
Review for Semester Exam
75 days
4 days
_______
84 days
What’s usual? The Empirical Rule and z-scores
Summaries of skewed distributions
Comparing measures of Center
Using boxplots for displaying summeries
TOTAL DAYS: (84)
2
TIMELINES
Statistics - Second Semester
Suggested Timelines
Suggested Timelines
Review for COMPASS
9 days
CH. 7 Survey Sampling and Inference
17 days
7.1 Learning about the world through surveys
7.2 Measuring the quality of a survey
7.3 The Central Limit Theorem for sample proportions
7.4 Estimating the population proportion with confidence intervals
7.5 Margin of error and sample size for proportions
CH. 9 Inferring Population Means
9.1 Sample Means of random samples
9.2 The Central Limit Theorem for Sample Means
9.3 Answering questions about the mean of a population
9.4 Comparing two populations means
CH. 8 Hypothesis Testing for Population Proportions
8.1 The main ingredients of hypothesis testing
8.2 Characterizing p-values
8.3 Hypothesis testing in 4 steps
8.4 Comparing proportions from two proportions
CH. 10 Association Between Categorical Variables
17 days
10.1 The basic ingredients for Testing with Categorical Variables
10.2 The Chi Square test for good fit
10.3 Chi-Square Tests for association between categorical variables
10.4 Hypothesis Tests when sample sizes are small
17 days
17 days
Number of Teaching Days
Review for Semester Exam
77 days
4 days
______
TOTAL DAYS: (84)
81days
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