Prob-Stats-Teacher-Book.pdf

# Company figure out the risks and possible losses

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company figure out the risks and possible losses associated with hurricanes and tropical storms in Happy Shores. Students use historical data to create models about possible damages if hurricanes of certain strengths hit. This project introduces statistics and probability concepts to students but is not meant to provide enough material or practice for students to master the material. A full-year or a semester statistics course would do that. The modules assume little to no statistical knowledge or exposure to advanced probability. Connections are made to calculus where relevant, though an understanding of calculus is not required in order to benefit from these materials. The idea is to whet students’ appetite with a different type of mathematics, one that is much more applied and related to the real world. The Modules This series includes four units: ± Module 1 - Basic Statistics Concepts . Focuses on graphical and numerical displays of data. Time required: 1–2 class periods. ± Module 2 - The Normal Distribution . Introduces a specific model for distribution of data. Time required: 1–2 class periods. ± Module 3 - Expected Value and Standard Deviation of Discrete Probability Distributions . Covers graphical and numerical displays of data. Time required: 1–3 class periods. ± Module 4 - Correlation and Regression . Teaches how to create models for relationships between two quantitative variables. Time required: 1–3 class periods.

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Page 3 NOTES
MODULE 1 Page 4 Module 1: Basic Statistics Concepts In this module, students will learn about basic statistical concepts, including graphical summaries (histograms, dot plots) and numerical summaries (median, mean, standard deviation), and use them to analyze and interpret univariate data. Content Learning Objectives Through the analysis of actual historical hurricane data and data from the fictional town of Happy Shores, students will be able to do the following: ± Represent and analyze distributions of one quantitative variable by looking at dot plots and histograms. ± Compute and interpret summary statistics describing the center of a distribution (mean and median). ± Compute and interpret summary statistics describing the variability of a distribution (standard deviation). Contextual Learning Objectives Using the content knowledge, students will be able to do the following: ± Analyze the history of hurricanes by looking at how many storms occur in the U.S. each year. ± Gain an understanding of how a community like Happy Shores can be damaged based on the category of storm that hits. Common Core State Standards for Mathematics Interpreting Categorical and Quantitative Data (S-ID) ± Summarize, represent, and interpret data on a single count or measurement variable.

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