Prentice Hall Elementary Statistics: Picturing the World 2009

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1 Prentice Hall C O R R E L A T E D T O Tennessee Mathematics Standards, Draft 5/2010, Statistics

2 Correlated to: Tennessee Mathematics Standards, Draft 5/2010, Statistics Tennessee Mathematics Standards, Draft 5/2010, Statistics Standard 1 Mathematical Processes CLE Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning. CLE Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution. CLE Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition. CLE Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic), to solve problems, to model mathematical ideas, and to communicate solution strategies. CLE Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies. CLE Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world. CLE Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models. Standard 2 Exploring Data CLE Understand histograms, parallel box plots, and scatterplots, and use them to compare display data. SE/TE: 28, 81, 170, 220, 284, 343, 413, 523 SE/TE: , , 399, , , , , , 527 SE/TE: , , , 567, , 523, , SE/TE: 18-24, 40-42, 44-48, 55-61, , 114, SE/TE: 34, 122, 190, 236, 302, 358, 432, 486, 548, 607, 660 SE/TE: 35, 122, 183, 236, 269, 351, 396, 479, 541, 578, 601, 632 SE/TE: 36, 124, 191, 237, 303, 359, 434, 487, 549, 609, 661 SE/TE: 40-42, 44-48, 55-61, CLE Summarize distributions of SE/TE: 40-42, 44-48, 55-61, , 114, univariate data CLE Explore bivariate data SE/TE: 11-14, CLE Explore categorical data SE/TE: SE = Student Edition 1 TE = Teacher s Edition

3 Correlated to: Tennessee Mathematics Standards, Draft 5/2010, Statistics Tennessee Mathematics Standards, Draft 5/2010, Statistics Standard 3 Sampling & Experimentation CLE Understand the differences among various kinds of studies and which types of inferences can be legitimately drawn from each. CLE Select a method to collect data and plan and conduct surveys and experiments. CLE Analyze results and make conclusions from observational studies, experiments, and surveys. Standard 4 Anticipating Patterns : CLE Understand and apply basic concepts of probability. CLE models. CLE distribution. Design appropriate probability Understand the normal CLE Describe the sampling distribution of a statistic and define the standard error of a statistic. Standard 5 Statistical Inference CLE Develop and evaluate inferences and predictions that are based on data. CLE intervals. Understand and use confidence SE/TE: 18-24, 34, 112, 236, 302, 432, 486 SE/TE: 18-24, 34, 122, 236, 302, 432, 486 SE/TE: 40-42, 44-46, 55-61, , 114, SE/TE: , , SE/TE: , , , SE/TE: 240, 243, 529, A2-A5 SE/TE: , 283, , 527 SE/TE: 7, , 225, SE/TE: , , SE = Student Edition 2 TE = Teacher s Edition

4 Pearson Prentice Hall Elementary Statistics, 4e (Larson) Narrative Brief I. Orientation and Clarification ELEMENTARY STATISTICS, 4e is designed for students taking a Statistics course as described in the Tennessee Curriculum Standards for Mathematics. The textbook contains 11 chapters, 43 subtopics and 11 case studies, offering an accessible approach to statistics. It has a strong visual and graphical emphasis, a vast number of examples, and strikes a balance between computation, decision making and conceptual understanding. 2. Program Description ELEMENTARY STATISTICS, 4e incorporates more than 750 graphical displays. Data is introduced with corresponding graphs to prevent students from having to flip back and forth between pages. With over 1,900 exercises, students are exposed to a wide breadth and depth of exercises. There is a large variety of real-world applications to illustrate to students the relevance of the material they are learning. The text is split into four parts, each consisting of 2-3 chapters. Each chapter starts off with Where You ve Been and Where You re Going to provide context for each chapter s content. At the conclusion of each part, there is a cumulative set of review exercises that cover multiple topics to ensure conceptual understanding. The exercises also confirm that students understand the appropriate application of technique. Activities -- approximately two per chapter -- are built into each chapter to facilitate hands-on learning. They employ applets which allow students to explore certain concepts interactively rather than by using a static text figure. Examples in the text are paired with try-it-yourself problems that illustrate every concept with at least one step-by-step example that concludes with an interpretation step. This approach enhances students understanding and gives them the opportunity to reinforce it by immediately trying an example on their own. In order to ensure students can see how math concepts are applied to real-life situations, each chapter contains a full-page case study. Case studies include actual data in a real-world context, along with a series of thought-provoking questions designed to both illustrate important concepts of the chapter and provide students motivation for the statistical concepts they are learning. Case studies also serve as a springboard for group or individual projects, to encourage critical thinking, and for classroom discussion. In addition to the full-page case studies, mini case studies called Picturing the World illustrate the important concept or concepts of each section and conclude with a question that relates to the content.

5 A feature called Real statistics, Real decisions are full-page, real-life situations accompanied by exercises that prompt students to use the concepts in the chapter to make real world-type decisions. Math topics are introduced to students with flexible technology, allowing the text to be used in both hi-tech and low-tech classrooms. For example, students can gain additional insight into the way technology is used to handle large data sets or complex, real-life questions, which provides more depth for teachers seeking to increase the technology flavor of the course. The uses and abuses feature in each chapter summarizes the uses of chapter concepts, as well as a description of common misuses. Each abuse is accompanied by one or more exercises, which may include a discussion of ethical issues. MathXL for School, a powerful online practice, tutorial, and assessment program, is available as a separate purchase to enhance Larson s Elementary Statistics, 4e. 3. Assessment Assessment appears at the end of each chapter as part of the Summary Review Quiz sequence. The Chapter Summary contains a list of the formulas covered in the chapter and answers the question What did you learn? Each topic in the summary is also correlated to the appropriate chapter review examples and exercises. The chapter quiz provides students the opportunity to assess their cumulative understanding (answers are provided in the back of the book for each quiz). Active Learning Questions are provided to teachers as a free download, and a TestGen assessment CD-ROM is also provided as a teacher supplement. MathXL for School, described above, is available as a separate purchase and also provides enhanced and personalized online assessment opportunities.