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AP Statistics Scope & Sequence NCTM Standards covered in this course: Problem Solving Reasoning & Proof Communication Connections & Representation Compute Fluently and make reasonable estimates Understand numbers, ways of representing numbers, relationships among numbers and number systems Analyze change in various contexts Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them Select and use appropriate statistical methods to analyze data Develop and evaluate inferences and predictions that are based on data Understand and apply basic concepts of probability Kentucky State Standards covered in this course: Mathematical Communication and Reasoning Technology Number Concepts Mathematical Procedures Problem Solving Connect and Integrate Knowledge Probability and Statistics Producing Data (8 days) Designing Samples Designing Experiments Designing Simulations Exploring Data (4 days) Displaying Distributions with Graphs Describing Distributions with Numbers The Normal Distribution (5 days) Density Curves and the Normal Distribution Standard Normal Calculations Examining Relationships (6 days) Scatterplots and correlation Least-Squares Regression Two-Variable Data (4 days) Transforming Relationships Cautions about Correlation and Regression Relations in Categorical Data Establishing Causation Producing Data (8 days) Designing Samples Designing Experiments Probability: The Study of Randomness (6 days) Probability Models General Probability Rules Random Variables (5 days) Discrete and Continuous Random Variables Means and Variances of Random Variables Binomial and Geometric Distributions (4 days) The Binomial Distributions The Geometric Distributions Sampling Distributions (5 days) Sampling Distributions Sample Proportions Sample Means Estimating with Confidence (6 days) Confidence interval basics Estimating population means Estimating population proportion Testing a Claim (6 days) Significance test basics Carrying out significance tests Use and abuse of tests Using inference to make decisions Significance Tests (5 days) Tests about a population mean Tests about a population proportion Two Population Parameters (3 days) Comparing two means Comparing two proportions Inference for Tables: Chi-Square Procedures (3 days) Test for Goodness of Fit Inference for Two-Way Tables Inference for Regression (1 day) AP Exam Review (15 days) Course Outcomes: 1) Students will be able to analyze given data and compare two or more data sets. 2) Students will accurately produce and collect data using surveys or experiments. 3) Students will calculate probabilities using the general probability rules and rules for binomial probabilities. 4) Students will follow proper inference procedures in order to draw conclusions from data. 5) Students will be able to explain their answers completely and in context. Revised August 2015