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Author: Publisher: McGraw-Hill Education ISBN: 9780913684764 Category : Mathematics Languages : en Pages : 56
Book Description
Key to Geometry introduces students to a wide range of geometric discoveries as they do step-by-step constructions. Using only a pencil, compass, and straightedge, students begin by drawing lines, bisecting angles, and reproducing segments. Later they do sophisticated constructions involving over a dozen steps. When they finish, students will have been introduced to 134 geometric terms and will be ready to tackle formal proofs. Includes: Book 6 of Key to Geometry
Author: Publisher: McGraw-Hill Education ISBN: 9780913684726 Category : Mathematics Languages : en Pages : 56
Book Description
Key to Geometry introduces students to a wide range of geometric discoveries as they do step-by-step constructions. Using only a pencil, compass, and straightedge, students begin by drawing lines, bisecting angles, and reproducing segments. Later they do sophisticated constructions involving over a dozen steps. When they finish, students will have been introduced to 134 geometric terms and will be ready to tackle formal proofs. Includes: Book 2 of Key to Geometry
Author: Christopher M. Freeman Publisher: Taylor & Francis ISBN: 1000500276 Category : Education Languages : en Pages : 84
Book Description
Put compasses into your students' hands and behold the results! Hands-On Geometry teaches students to draw accurate constructions of equilateral triangles, squares, and regular hexagons, octagons, and dodecagons; to construct kites and use their diagonals to construct altitudes, angle bisectors, perpendicular bisectors, and the inscribed and circumscribed circles of any triangle; to construct perpendicular lines and rectangles, parallel lines, and parallelograms; and to construct a regular pentagon and a golden rectangle. Students will enjoy fulfilling high standards of precision with these hands-on activities. Hands-On Geometry provides the background students need to become exceptionally well prepared for a formal geometry class. The book provides an easy way to differentiate instruction: Because the lessons are self-explanatory, students can proceed at their own pace, and the finished constructions can be assessed at a glance. Grades 4-6
Author: Edward C. Wallace Publisher: Waveland Press ISBN: 1478632046 Category : Mathematics Languages : en Pages : 510
Book Description
Now available from Waveland Press, the Third Edition of Roads to Geometry is appropriate for several kinds of students. Pre-service teachers of geometry are provided with a thorough yet accessible treatment of plane geometry in a historical context. Mathematics majors will find its axiomatic development sufficiently rigorous to provide a foundation for further study in the areas of Euclidean and non-Euclidean geometry. By using the SMSG postulate set as a basis for the development of plane geometry, the authors avoid the pitfalls of many “foundations of geometry” texts that encumber the reader with such a detailed development of preliminary results that many other substantive and elegant results are inaccessible in a one-semester course. At the end of each section is an ample collection of exercises of varying difficulty that provides problems that both extend and clarify results of that section, as well as problems that apply those results. At the end of chapters 3–7, a summary list of the new definitions and theorems of each chapter is included.
Author: Patrick D Barry Publisher: Woodhead Publishing ISBN: 0128050675 Category : Mathematics Languages : en Pages : 282
Book Description
Geometry with Trigonometry Second Edition is a second course in plane Euclidean geometry, second in the sense that many of its basic concepts will have been dealt with at school, less precisely. It gets underway with a large section of pure geometry in Chapters 2 to 5 inclusive, in which many familiar results are efficiently proved, although the logical frame work is not traditional. In Chapter 6 there is a convenient introduction of coordinate geometry in which the only use of angles is to handle the perpendicularity or parallelism of lines. Cartesian equations and parametric equations of a line are developed and there are several applications. In Chapter 7 basic properties of circles are developed, the mid-line of an angle-support, and sensed distances. In the short Chaper 8 there is a treatment of translations, axial symmetries and more generally isometries. In Chapter 9 trigonometry is dealt with in an original way which e.g. allows concepts such as clockwise and anticlockwise to be handled in a way which is not purely visual. By the stage of Chapter 9 we have a context in which calculus can be developed. In Chapter 10 the use of complex numbers as coordinates is introduced and the great conveniences this notation allows are systematically exploited. Many and varied topics are dealt with , including sensed angles, sensed area of a triangle, angles between lines as opposed to angles between co-initial half-lines (duo-angles). In Chapter 11 various convenient methods of proving geometrical results are established, position vectors, areal coordinates, an original concept mobile coordinates. In Chapter 12 trigonometric functions in the context of calculus are treated. New to this edition: - The second edition has been comprehensively revised over three years - Errors have been corrected and some proofs marginally improved - The substantial difference is that Chapter 11 has been significantly extended, particularly the role of mobile coordinates, and a more thorough account of the material is given - Provides a modern and coherent exposition of geometry with trigonometry for many audiences across mathematics - Provides many geometric diagrams for a clear understanding of the text and includes problem exercises for many chapters - Generalizations of this material, such as to solid euclidean geometry and conic sections, when combined with calculus, would lead to applications in science, engineering, and elsewhere
Author: Steve Slavin Publisher: John Wiley & Sons ISBN: 0471680192 Category : Mathematics Languages : en Pages : 284
Book Description
Learn geometry at your own pace What are congruent circles? How do you find the hypotenuse of a triangle? What is the sum of the angles in a decagon? How can you apply geometric equations to your daily life? With the unbeatable study companion Geometry: A Self-Teaching Guide, you'll discover the answers to these questions and many more. This thorough primer presents an easy-to-follow, proven method for grasping the key concepts of geometry. You'll progress step by step through plane, solid, and analytic geometry and then move on to geometric applications for calculus. You'll build your problem-solving skills along the way through detailed examples, reviews, exercises, and answer explanations. The clearly structured format of Geometry makes it fully accessible, providing an easily understood, comprehensive overview for everyone from high school students to adult learners to math mavens. Like all Self-Teaching Guides, Geometry allows you to build gradually on what you have learned-at your own pace. Questions and self-tests reinforce the information in each chapter and allow you to skip ahead or focus on specific areas of concern. Packed with useful, up-to-date information, this clear, concise volume is a valuable learning tool and reference source for anyone who wants to improve his or her understanding of basic geometry.
Author: Mary Rosenberg Publisher: Classroom Complete Press ISBN: 1771679034 Category : Languages : en Pages : 17
Book Description
**This is the chapter slice "Drill Sheets Vol. 6 Gr. 6-8" from the full lesson plan "Geometry"** For grades PK-2, our resource meets the geometry concepts addressed by the NCTM standards and encourages the students to review the concepts in unique ways. Each drill sheet contains warm-up and timed drill activities for the student to practice geometry concepts. The pages of this resource contain a variety in terms of levels of difficulty and content so as to provide students with a variety of differentiated learning opportunities. Included are questions involving two- and three-dimensional shapes, fractions, coordinate points, and composing and decomposing shapes. The drill sheets offer space for reflection, and opportunity for the appropriate use of technology. Also contained are assessment and standards rubrics, review sheets, color activity posters and bonus worksheets. All of our content meets the Common Core State Standards and are written to Bloom's Taxonomy, STEM, and NCTM standards.
Author: Andreĭ Petrovich Kiselev Publisher: ISBN: Category : Mathematics Languages : en Pages : 192
Book Description
This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.
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Author: Newton Hawley![Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J. Pryde. [With] Key PDF](https://books.google.com/books/content/images/frontcover/ygMFAAAAQAAJ?fife=w80-h100)
Author: Euclides
Author: Christopher M. Freeman
Author: Edward C. Wallace
Author: Patrick D Barry
Author: Steve Slavin![The Elements of Euclid, books i. to vi., with deductions, appendices and historical notes, by J.S. Mackay. [With] Key PDF](https://books.google.com/books/content/images/frontcover/7QMFAAAAQAAJ?fife=w80-h100)
Author: Euclides
Author: Mary Rosenberg
Author: Andreĭ Petrovich Kiselev