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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 1 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 3