This eBook edition has been specially formatted for on-screen viewing with cross-linked questions, answers, and explanations. UNLOCK THE SECRETS OF GEOMETRY with THE PRINCETON REVIEW. Geometry can be a daunting subject. That’s why our new High School Unlocked series focuses on giving you a wide range of key techniques to help you tackle subjects like Geometry. If one method doesn't "click" for you, you can use an alternative approach to understand the concept or problem, instead of painfully trying the same thing over and over without success. Trust us—unlocking geometric secrets doesn't have to hurt! With this book, you’ll discover the link between abstract concepts and their real-world applications and build confidence as your skills improve. Along the way, you’ll get plenty of practice, from fully guided examples to independent end-of-chapter drills and test-like samples. Everything You Need to Know About Geometry. • Complex concepts explained in clear, straightforward ways • Walk-throughs of sample problems for all topics • Clear goals and self-assessments to help you pinpoint areas for further review • Step-by-step examples of different ways to approach problems Practice Your Way to Excellence. • Drills and practice questions in every chapter • Complete answer explanations to boost understanding • ACT- and SAT-like questions for hands-on experience with how Geometry may appear on major exams High School Geometry Unlocked covers: • translation, reflection, and rotation • congruence and theorems • the relationship between 2-D and 3-D figures • trigonometry • circles, angles, and arcs • probability • the algebra-geometry connection ... and more!
Your Key to Mastering Geometry
Author: Princeton Review
Publisher: Princeton Review
Author: School Mathematics Study Group
For High School Students
Author: William Smith
Publisher: Xlibris Corporation
A geometry course based on this book was taught success fully by Gene Murrow for several years. We are much indebted to Springer-Verlag for publishing Geometry, so that others can try our approach. The publishers and we thought it would be appropriate to issue the book first in a preliml. nary edition, on which we would welcome comments, especially from students and teachers of the high school geometry course. Such comments can bear on any aspect of Geometry, ranging from the choice of topics, the ordering of the topics, and other global considerations, to possible computational errors and misprints. We shall welcome criticisms and suggestions. Serge Lang Gene Murrow Contents Theorems Proved in Geometry xi xvii Introduction CHAPTER 1 -Distance and Angles 51. Lines 1 52. Distance 12 53. Angles 20 54. Proofs 43 55. Right Angles and Perpendicularity 52 86. The Angles of a Triangle 65 CHAPTER 2 - Coordinates 51. Coordinate Systems 85 52. Distance between Points on a Line 94 53. Equation of a Line 96 CHAPTER 3 - Area and the Pythagoras Theorem 51. The Area of a Triangle 107 S2. The Pythagoras Theorem 125 viii CONTENTS CHAPTER 4 - The Distance Formula Sl. Distance between Arbitrary Points 142 S2. Higher Dimensional Space 148 S3. Equation of a Circle 155 CHAPTER 5 - Some Applications of Right Triangles S1. Perpendicular Bisector 162 S2. Isosceles and Equilateral Triangles 175 S3. Theorems About Circles 190 CHAPTER 6 - Polygons S1.
A High School Course
Author: S. Lang,G. Murrow
Author: Rachel P. Keniston,Jean Tully
Specifically designed to meet the needs of high school students, REA’s High School Geometry Tutor presents hundreds of solved problems with step-by-step and detailed solutions. Almost any imaginable problem that might be assigned for homework or given on an exam is covered. Covers topics in plane and solid (space) geometry. Also included are pictorial diagrams with thorough explanations on solving problems in congruence, parallelism, inequalities, similarities, triangles, circles, polygons, constructions, and coordinate/analytic geometry. Fully indexed for locating specific problems rapidly.
Author: Research & Education Association Editors
Publisher: Research & Education Assoc.
Category: Study Aids
Geometry with Coordinates
Author: School Mathematics Study Group
This book presents current perspectives on theoretical and empirical issues related to the teaching and learning of geometry at secondary schools. It contains chapters contributing to three main areas. A first set of chapters examines mathematical, epistemological, and curricular perspectives. A second set of chapters presents studies on geometry instruction and teacher knowledge, and a third set of chapters offers studies on geometry thinking and learning. Specific research topics addressed also include teaching practice, learning trajectories, learning difficulties, technological resources, instructional design, assessments, textbook analyses, and teacher education in geometry. Geometry remains an essential and critical topic in school mathematics. As they learn geometry, students develop essential mathematical thinking and visualization skills and learn a language that helps them relate to and interact with the physical world. Geometry has traditionally been included as a subject of study in secondary mathematics curricula, but it has also featured as a resource in out-of-school problem solving, and has been connected to various human activities such as sports, games, and artwork. Furthermore, geometry often plays a role in teacher preparation, undergraduate mathematics, and at the workplace. New technologies, including dynamic geometry software, computer-assisted design software, and geometric positioning systems, have provided more resources for teachers to design environments and tasks in which students can learn and use geometry. In this context, research on the teaching and learning of geometry will continue to be a key element on the research agendas of mathematics educators, as researchers continue to look for ways to enhance student learning and to understand student thinking and teachers’ decision making.
Author: Patricio Herbst,Ui Hock Cheah,Philippe R. Richard,Keith Jones
A High School First Course in Euclidean Plane Geometry is intended to be a first course in plane geometry at the high school level. Individuals who do not have a formal background in geometry can also benefit from studying the subject using this book. The content of the book is based on Euclid's five postulates of plane geometry and the most common theorems. It promotes the art and the skills of developing logical proofs. Most of the theorems are provided with detailed proofs. A large number of sample problems are presented throughout the book with detailed solutions. Practice problems are included at the end of each chapter and are presented in three groups: geometric construction problems, computational problems, and theorematical problems. The answers to the computational problems are included at the end of the book. Many of those problems are simplified classic engineering problems that can be solved by average students. The detailed solutions to all the problems in the book are contained in the Solutions Manual. A High School First Course in Euclidean Plane Geometry is the distillation of the author's experience in teaching geometry over many years in U.S. high schools and overseas. The book is best described in the introduction. The prologue offers a study guide to get the most benefits from the book.
Author: Charles H. Aboughantous
Advanced Euclidean Geometry provides a thorough review of the essentials of high school geometry and then expands those concepts to advanced Euclidean geometry, to give teachers more confidence in guiding student explorations and questions. The text contains hundreds of illustrations created in The Geometer's Sketchpad Dynamic Geometry® software. It is packaged with a CD-ROM containing over 100 interactive sketches using SketchpadTM (assumes that the user has access to the program).
Excursions for Students and Teachers
Author: Alfred S. Posamentier
Publisher: Springer Science & Business Media
No descriptive material is available for this title.
Author: Walter Prenowitz,Meyer Jordan
Publisher: Rowman & Littlefield
IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Geometry in Secondary Schools reviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction. Areas covered include: teaching and learning secondary geometry through history; the representations of geometric figures; students’ cognition in geometry; teacher knowledge, practice and, beliefs; teaching strategies, instructional improvement, and classroom interventions; research designs and problems for secondary geometry. Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students’ study of geometry in secondary schools.
A Modeling Perspective
Author: Pat Herbst,Taro Fujita,Stefan Halverscheid,Michael Weiss
Publisher: Taylor & Francis
The Geometry Companion is a wonderful study guide for students who are taking Geometry. Each Chapter is separated into three columns. The first column contains a key concept. To the right of the key concept in the second column is an example demonstrating the concept. Then to the right of the example is the solution to the problem. Throughout this guide I share creative ways to learn and remember Geometry. These quick snapshots of the solid fundamentals of Geometry are focused, organized, and easy to understand. Before a student can solve problems abstractly, they need to have a solid foundation in the subject and this is what The Geometry Companion offers them. The Geometry Companion is great for: 1. Special education students. 2. ALL Geometry students. 3. Transfer student remediation. 4. Homebound students and their teachers. 5. Tutors. 6. First time Geometry teachers. 7. SAT review. 8. GRE review. 9. State Competency Exam review. 10. Geometry cumulative exams review. There is so much to remember in Geometry. The Geometry Companion helps bring everything together.
Great study guide for Middle and High School Geometry Courses, SATs and GREs
Author: Cynthia Austin
Publisher: Trafford Publishing
Volume 7 of the Learn Math Fast System covers all the major topics of High School Geometry included Proofs, Theorems, Postulates, Sine, Cosine, Tangent, plus the interior and exterior angles of polygons and circles. Purchase the Smart Cards separately for more help.
High School Geometry
Author: J. Mergens,Mick Mergens
Publisher: Createspace Independent Publishing Platform
This book presents the worked-out solutions for all the exercises in the text by Lang and Murrow. It will be of use not only to mathematics teachers, but also to students using the text for self-study.
A High School Course
Author: Philip Carlson
Publisher: Springer Science & Business Media