The Classification of Quadrilaterals

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Author :
Publisher : IAP
ISBN 13 : 160752600X
Total Pages : 120 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis The Classification of Quadrilaterals by : Zalman Usiskin

Download or read book The Classification of Quadrilaterals written by Zalman Usiskin and published by IAP. This book was released on 2008-01-01 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph reports on an analysis of a small part of the mathematics curriculum, the definitions given to quadrilaterals. This kind of research, which we call micro-curricular analysis, is often undertaken by those who create curriculum, but it is not usually done systematically and it is rarely published. Many terms in mathematics education can be found to have different definitions in mathematics books. Among these are “natural number,” “parallel lines” and “congruent triangles,” “trapezoid” and “isosceles trapezoid,” the formal definitions of the trigonometric functions and absolute value, and implicit definitions of the arithmetic operations addition, subtraction, multiplication, and division. Yet many teachers and students do not realize there is a choice of definitions for mathematical terms. And even those who realize there is a choice may not know who decides which definition of any mathematical term is better, and under what criteria. Finally, rarely are the mathematical implications of various choices discussed. As a result, many students misuse and otherwise do not understand the role of definition in mathematics. We have chosen in this monograph to examine a bit of mathematics for its definitions: the quadrilaterals. We do so because there is some disagreement in the definitions and, consequently, in the ways in which quadrilaterals are classified and relate to each other. The issues underlying these differences have engaged students, teachers, mathematics educators, and mathematicians. There have been several articles and a number of essays on the definitions and classification of quadrilaterals. But primarily we chose this specific area of definition in mathematics because it demonstrates how broad mathematical issues revolving around definitions become reflected in curricular materials. While we were undertaking this research, we found that the area of quadrilaterals supplied grist for broader and richer discussions than we had first anticipated. The intended audience includes curriculum developers, researchers, teachers, teacher trainers, and anyone interested in language and its use.

Geometry For Dummies

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 0470089466
Total Pages : 410 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Geometry For Dummies by : Mark Ryan

Download or read book Geometry For Dummies written by Mark Ryan and published by John Wiley & Sons. This book was released on 2008-01-03 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning geometry doesn’t have to hurt. With a little bit of friendly guidance, it can even be fun! Geometry For Dummies, 2nd Edition, helps you make friends with lines, angles, theorems and postulates. It eases you into all the principles and formulas you need to analyze two- and three-dimensional shapes, and it gives you the skills and strategies you need to write geometry proofs. Before you know it, you’ll be devouring proofs with relish. You’ll find out how a proof’s chain of logic works and discover some basic secrets for getting past rough spots. Soon, you’ll be proving triangles congruent, calculating circumferences, using formulas, and serving up pi. The non-proof parts of the book contain helpful formulas and tips that you can use anytime you need to shape up your knowledge of shapes. You’ll even get a feel for why geometry continues to draw people to careers in art, engineering, carpentry, robotics, physics, and computer animation, among others.You’ll discover how to: Identify lines, angles, and planes Measure segments and angles Calculate the area of a triangle Use tips and strategies to make proofs easier Figure the volume and surface area of a pyramid Bisect angles and construct perpendicular lines Work with 3-D shapes Work with figures in the x-y coordinate system So quit scratching your head. Geometry For Dummies, 2nd Edition, gets you un-stumped in a hurry.

Quadrilaterals

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Publisher : The Rosen Publishing Group, Inc
ISBN 13 : 9781404234963
Total Pages : 36 pages
Book Rating : 4.2/5 (349 download)

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Book Synopsis Quadrilaterals by : Bonnie Coulter-Leech

Download or read book Quadrilaterals written by Bonnie Coulter-Leech and published by The Rosen Publishing Group, Inc. This book was released on 2006-08-01 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains what quadrilaterals are, describes how to measure their perimeter and area, and further explores named quadrilaterals such as rectangles, kites, and rhombi.

A Cornucopia of Quadrilaterals

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Publisher : American Mathematical Soc.
ISBN 13 : 1470453126
Total Pages : 304 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Cornucopia of Quadrilaterals by : Claudi Alsina

Download or read book A Cornucopia of Quadrilaterals written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2020-02-10 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Cornucopia of Quadrilaterals collects and organizes hundreds of beautiful and surprising results about four-sided figures—for example, that the midpoints of the sides of any quadrilateral are the vertices of a parallelogram, or that in a convex quadrilateral (not a parallelogram) the line through the midpoints of the diagonals (the Newton line) is equidistant from opposite vertices, or that, if your quadrilateral has an inscribed circle, its center lies on the Newton line. There are results dating back to Euclid: the side-lengths of a pentagon, a hexagon, and a decagon inscribed in a circle can be assembled into a right triangle (the proof uses a quadrilateral and circumscribing circle); and results dating to Erdős: from any point in a triangle the sum of the distances to the vertices is at least twice as large as the sum of the distances to the sides. The book is suitable for serious study, but it equally rewards the reader who dips in randomly. It contains hundreds of challenging four-sided problems. Instructors of number theory, combinatorics, analysis, and geometry will find examples and problems to enrich their courses. The authors have carefully and skillfully organized the presentation into a variety of themes so the chapters flow seamlessly in a coherent narrative journey through the landscape of quadrilaterals. The authors' exposition is beautifully clear and compelling and is accessible to anyone with a high school background in geometry.

Granddaddy Parallelogram

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Publisher : Xlibris Corporation
ISBN 13 : 1524529222
Total Pages : 23 pages
Book Rating : 4.5/5 (245 download)

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Book Synopsis Granddaddy Parallelogram by : Janel Williams

Download or read book Granddaddy Parallelogram written by Janel Williams and published by Xlibris Corporation. This book was released on 2016-08-15 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: Granddaddy Parallelogram and his grandchildren, Rect the Rectangle and Rhombella the Rhombus, live in the land of quadrilaterals. It is an exciting place to be, but Rect and Rhombella have difficulty accepting each others differences. As a result, Rect and Rhombella dispute continuously. Their disagreements cease with self-discovery and a secret from their astute grandfather, Granddaddy Parallelogram. With vibrant color illustrations and accompanying stories children can relate to, the Granddaddy Parallelogram series is a useful tool to teach children advance geometric concepts initially. Children will enjoy entering the land of quadrilaterals and the engaging activities offered to parents and teachers to enhance their childrens knowledge. Experience gratification in math and adventures with the entire Granddaddy Parallelogram series.

Squares, Rectangles, and Other Quadrilaterals

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Publisher : Holiday House
ISBN 13 : 0823441385
Total Pages : 32 pages
Book Rating : 4.8/5 (234 download)

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Book Synopsis Squares, Rectangles, and Other Quadrilaterals by : David A. Adler

Download or read book Squares, Rectangles, and Other Quadrilaterals written by David A. Adler and published by Holiday House. This book was released on 2018-12-25 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry is demystified in a new addition to a popular and amusing series of math picture books from a trusted team. Comical cats and dogs guide kids through the essential characteristics of squares, rectangles, parallelograms, rhomboids, and other quadrilaterals. Angles and degrees are explained in words and useful visuals. Kids will get a handle on geometric vocabulary and can try out plenty of hands-on activities that will help reinforce the concepts. A glossary is included.

The Mathematician

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Publisher :
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis The Mathematician by :

Download or read book The Mathematician written by and published by . This book was released on 1856 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Figuring Out Mathematics

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Publisher : Pearson Education India
ISBN 13 : 9788131703601
Total Pages : 252 pages
Book Rating : 4.7/5 (36 download)

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Book Synopsis Figuring Out Mathematics by :

Download or read book Figuring Out Mathematics written by and published by Pearson Education India. This book was released on with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Activity Manual Mathematics

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Publisher : Saraswati House Pvt Ltd
ISBN 13 : 8173356823
Total Pages : 149 pages
Book Rating : 4.1/5 (733 download)

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Book Synopsis Activity Manual Mathematics by : Anupal Sagar, Rashmi Sagar

Download or read book Activity Manual Mathematics written by Anupal Sagar, Rashmi Sagar and published by Saraswati House Pvt Ltd. This book was released on 2010 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maths Activity Book

S. Chand's Smart Maths book 6

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Publisher : S. Chand Publishing
ISBN 13 : 9352837630
Total Pages : pages
Book Rating : 4.3/5 (528 download)

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Book Synopsis S. Chand's Smart Maths book 6 by : Sheela Khandelwall

Download or read book S. Chand's Smart Maths book 6 written by Sheela Khandelwall and published by S. Chand Publishing. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: S Chand's Smart Maths is a carefully graded Mathematics series of 9 books for the children of KG to Class 8. The series adheres to the National Curriculum Framework and the books have been designed in accordance with the latest guidelines laid down by the NCERT.

Change and Invariance

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Publisher : Springer
ISBN 13 : 9463006990
Total Pages : 389 pages
Book Rating : 4.4/5 (63 download)

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Book Synopsis Change and Invariance by : Ilya Sinitsky

Download or read book Change and Invariance written by Ilya Sinitsky and published by Springer. This book was released on 2016-11-25 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: "What is the connection between finding the amount of acid needed to reach the desired concentration of a chemical solution, checking divisibility by a two-digit prime number, and maintaining the perimeter of a polygon while reducing its area? The simple answer is the title of this book.The world is an interplay of variation and constancy – a medley of differences and similarities – and this change and invariance is, largely, a language of science and mathematics. This book proposes a unique approach for developing mathematical insight through the perspective of change and invariance as it applies to the properties of numbers and shapes.After a short introductory chapter, each of the following chapters presents a series of evolving activities for students that focus on a specific aspect of interplay between change and invariance. Each activity is accompanied by detailed mathematical explanations and a didactic discussion. The assignments start with tasks familiar from the school curriculum, but progress beyond the menial to lead to sophisticated generalizations. Further activities are suggested to augment the chapter’s theme. Some examples: “How to represent all the integers from zero to 1000 using ten fingers?”, “How to win at the game of Nim?”, “Why do different square lattice polygons with the same area often have the same perimeter?” This book can be used as a textbook for pre-service mathematics teachers and is primarily intended for their academic instructors. Essentially, students, teachers and anyone interested in elementary mathematics will enjoy the elegant solutions provided for the plethora of problems in elementary mathematics through the systematic approach of invariance and change."

Exploring Advanced Euclidean Geometry with GeoGebra

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Publisher : American Mathematical Soc.
ISBN 13 : 0883857847
Total Pages : 147 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis Exploring Advanced Euclidean Geometry with GeoGebra by : Gerard A. Venema

Download or read book Exploring Advanced Euclidean Geometry with GeoGebra written by Gerard A. Venema and published by American Mathematical Soc.. This book was released on 2013-12-31 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumscribed, and escribed circles, medial and orthic triangles, the nine-point circle, duality, and the theorems of Ceva and Menelaus, as well as numerous applications of those theorems. The final chapter explores constructions in the Poincare disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course in geometry or as a stand-alone introduction to advanced topics in Euclidean geometry. The text consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. First the ideas are explored at the computer and then those ideas are assembled into a proof of the result under investigation. The goals are for the reader to experience the joy of discovering geometric relationships, to develop a deeper understanding of geometry, and to encourage an appreciation for the beauty of Euclidean geometry.

LK-Mathematics-HB-09-R

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Publisher : New Saraswati House India Pvt Ltd
ISBN 13 : 9352723783
Total Pages : 224 pages
Book Rating : 4.3/5 (527 download)

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Book Synopsis LK-Mathematics-HB-09-R by : Anupal Sagar, Rashmi Sagar

Download or read book LK-Mathematics-HB-09-R written by Anupal Sagar, Rashmi Sagar and published by New Saraswati House India Pvt Ltd. This book was released on with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: LK-Mathematics-HB-09-R

Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5

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Publisher : John Wiley & Sons
ISBN 13 : 1118835522
Total Pages : 304 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 by : Judith A. Muschla

Download or read book Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 written by Judith A. Muschla and published by John Wiley & Sons. This book was released on 2014-02-12 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helping teachers prepare elementary students to master the common core math standards With the common core math curriculum being adopted by forty-three states, it is imperative that students learn to master those key math standards. Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 is the only book currently available that provides activities directly correlated to the new core curriculum for math. This text assists teachers with instructing the material and allows students to practice the concepts through use of the grade-appropriate activities included. Students learn in different ways, and Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 acknowledges that fact through the inclusion of suggestions for variations and extensions of each concept to be used for students with different abilities and learning styles. The activities and lessons are as diverse as the students in your classroom. Inside Teaching with Common Core Math Standards With Hands-On Activities Grades 3-5, you will find: Clear instructions to help you cover the skills and concepts for the new math core curriculum Engaging activities that enforce each core math standard for your students Various suggestions for ways to instruct the concepts to reach the diverse learning styles of your students Complete coverage of mathematical calculations, mathematical reasoning, and problem-solving strategies appropriate for grades 3-5 Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 prepares students to achieve success in the important area of mathematics. As your students gain an understanding of the common core standards, they will build confidence in their ability to grasp and manipulate mathematical concepts as they move forward to the next level.

NCERT Solutions MATHEMATICS for class 8th

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Author :
Publisher : Arihant Publications India limited
ISBN 13 : 9352031628
Total Pages : 620 pages
Book Rating : 4.3/5 (52 download)

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Book Synopsis NCERT Solutions MATHEMATICS for class 8th by : Arihant Experts

Download or read book NCERT Solutions MATHEMATICS for class 8th written by Arihant Experts and published by Arihant Publications India limited. This book was released on 2015-02-10 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Primary Maths in Action

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Author :
Publisher : Nelson Thornes
ISBN 13 : 0748777083
Total Pages : 194 pages
Book Rating : 4.7/5 (487 download)

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Book Synopsis Primary Maths in Action by :

Download or read book Primary Maths in Action written by and published by Nelson Thornes. This book was released on 2004 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primary Maths in Action is a unique level-specific resource with materials at each of Levels C, D and E, written to provide comprehensive and in-depth coverage of each Level's attainment targets.

Maths Connect

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Author :
Publisher : Heinemann
ISBN 13 : 9780435534905
Total Pages : 228 pages
Book Rating : 4.5/5 (349 download)

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Book Synopsis Maths Connect by : Dave Kirkby

Download or read book Maths Connect written by Dave Kirkby and published by Heinemann. This book was released on 2003 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maths connect provides consolidation, stretch and challenge for pupils of all abilities. This pupil's text in the blue tier provides an ideal route through Key Stage 3 for the middle-ability pupils.