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"Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams."--Back cover.
"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.
This book will prepare you for quantitative finance interviews by helping you zero in on the key concepts that are frequently tested in such interviews. In this book we analyze solutions to more than 200 real interview problems and provide valuable insights into how to ace quantitative interviews. The book covers a variety of topics that you are likely to encounter in quantitative interviews: brain teasers, calculus, linear algebra, probability, stochastic processes and stochastic calculus, finance and programming.
"Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of OpenStax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. OpenStax will also be releasing College Algebra and Algebra and trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses."--Preface.
Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point-no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.
Accelerate learning with high-impact strategies. Beginning and veteran teachers alike will find insights and practices they can use immediately. The authors dovetail their proven instructional process of chunk, chew, check, change with before-, during-, and after-reading strategies in this must-have guide for powerful literacy instruction. No matter what content area you teach, this book will help you develop the strategic reader in every student. K–8 teachers who are interested in high-impact teaching strategies will: Learn how to incorporate the literacy triangle's three points—reading, discussing, and writing—into instruction for any subject Cut through the conflict caused by the reading wars and gain clarity on the science behind effective, well-rounded literacy instruction Help students enjoy reading, gain comprehension, and build reading stamina Get differentiation ideas for scaffolding and enriching each strategy using best practices in literacy instruction Discover how to engage students in opportunities for making meaning, choosing texts, and leading discussions Understand how setting a student's purpose for reading can encourage focus, engagement, deeper conversations, and a motivation to keep reading with literacy strategies Contents: Introduction Part 1: Planning for Quality Literacy Instruction Chapter 1: Teaching Literacy Effectively Chapter 2: Choosing the "Right" Text Chapter 3: Using the Literacy Triangle to Drastically Improve Literacy Part 2: Implementing Quality Literacy Instruction Chapter 4: Preparing for Success--Before Reading Chapter 5: Staying Focused on the Goal--During Reading Chapter 6: Consolidating With Discussion and Writing--After Reading Chapter 7: Bringing It All Together Conclusion References and Resources Index
This easy-to-use packet is full of stimulating activities that will give your students a solid introduction to solving triangles! A variety of puzzles and self-check formats will challenge students to think creatively as they work to build their trigonometric skills. Each page begins with a clear explanation of a featured trigonometric topic, providing extra review and reinforcement.