Prompt Title: AP Stats Review Lesson

Lesson Plan: AP Statistics Exam Review Duration: 3 Days

Objective: To help high school students review and consolidate their knowledge of AP Statistics content in preparation for the AP exam.

Day 1: Exploratory Data Analysis and Experimental Design

1. Introduction (10 minutes)

   • Briefly discuss the importance of reviewing the material and having a clear understanding of the key concepts in AP Statistics.

2. Exploratory Data Analysis (90 minutes) a. Types of Data and Variables b. Measures of Central Tendency and Dispersion c. Histograms, Boxplots, and Stem-and-Leaf Plots d. Transformations and Outliers e. Correlation and Scatterplots f. Linear Regression g. Residuals and Residual Plots

   • Incorporate engaging activities, such as group work or interactive online quizzes, to test students' understanding of the concepts.

3. Experimental Design (90 minutes) a. Observational Studies vs. Experiments b. Sampling Methods c. Experimental Design Principles d. Control Groups and Randomization e. Matched Pairs and Block Designs f. Bias and Confounding Variables

   • Include real-world examples to help students visualize the concepts and encourage discussions about the implications of different study designs.

Day 2: Probability and Sampling Distributions

1. Probability (90 minutes) a. Basic Probability Rules b. Conditional Probability and Independence c. Disjoint and Non-Disjoint Events d. Permutations and Combinations e. Binomial and Geometric Distributions

   • Utilize interactive simulations to help students visualize probability distributions and to practice calculating probabilities.

2. Sampling Distributions (90 minutes) a. Sampling Variability b. Central Limit Theorem c. Sampling Distribution of Sample Means d. Sampling Distribution of Sample Proportions e. Confidence Intervals

   • Integrate activities that help students make connections between sampling distributions and real-world applications.

Day 3: Inference and Test Preparation

1. Inference (90 minutes) a. Hypothesis Testing b. Significance Levels and P-values c. Type I and Type II Errors d. Tests for Means, Proportions, and Variances e. Chi-Square Tests f. Linear Regression Inference

   • Use case studies to help students understand the process of making inferences and interpreting the results of hypothesis tests.

2. Test Preparation (90 minutes) a. Review the AP Exam format b. Discuss test-taking strategies and time management c. Practice with multiple-choice and free-response questions d. Address common misconceptions and errors e. Encourage students to ask questions and seek clarification on any concepts they are struggling with.

Throughout the three days, encourage students to ask questions and participate actively in discussions. Provide access to additional resources, such as online practice exams and tutorials, for students to further strengthen their understanding of the material.