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37 results for "polygons"
Polygons By jrgeometry
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Why is the interior angle sum of an n-sided polygon equal to (n-2)180 deg? Why is the exterior angel sum of a polygon 360 deg? Need help with understanding what a rhombus or a kite is? Need... More > insight on the midsegment of a trapezoid? This study guide provides this information and has 22 solved polygon problems.< Less
Fractional Harmonics and Star Polygons By Gary Doskas
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This book has its roots in a previous publication of mine, Spherical Harmony: A Journey of Geometric Discovery. I will introduce the concept of spherical harmonics, but the main focus will be on... More > fractional harmonics and their associated polygram, or star polygon. There exists a unique fractional harmonic of each of the infinite number of star polygons. Much has been written about the pentagram and the golden ratio that is embedded in its geometry. However, it was the heptagon and associated heptagram that really piqued my interest. So I decided to explore the heptagram since I didn't know much about its geometric properties or characteristics and there wasn't much written about them either. The prime number seven has a special place in the ancient world and was referred to as the virgin number and was the most sacred number in many religions. some amazing ratios of proportion.< Less
PUZZLE MATH Measures of Polygon Angles By Roxanne Eckenrode
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Students find sums of the measures of interior angles of polygons, sums of the measures of exterior angles of polygons, and measures of single angles in a regular polygon. They consider triangles,... More > quadrilaterals, pentagons, hexagons, heptagons, octagons, decagons, and dodecagons. They receive immediate feedback as their answers decode a secret message. The self-checking nature motivates students and reduces overhead for teachers. Teachers, please require the students to show all of their work.< Less
Higher-Order Voronoi Diagrams of Polygonal Objects By Maksym Zavershynskyi
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Higher-order Voronoi diagrams are fundamental geometric structures which encode the k-nearest neighbor information. While higher-order Voronoi diagrams of points have been studied a lot, they have... More > not been considered for other types of sites. Points lack dimensionality which makes them unable to represent various real-life instances. Points are the simplest kind of geometric object and therefore higher-order Voronoi diagrams of points can be considered as the corner case of all higher-order Voronoi diagrams. In this book we bring the higher-order Voronoi diagram to more general geometric instances. We focus on certain polygonal objects as they provide flexibility and are able to represent real-life instances. In this book we investigate algorithms, structural, and combinatorial properties and discover that the dimensionality of geometric objects manifests itself in numerous ways which do not exist in the case of points.< Less
Isometric Dot Workbook: Games For Teaching Polygons By Jeremiah Dyke
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The following workbook offers a fun way to learn polygon shapes by playing the age-old game "squares" (only with a twist). Using isometric dots, students will compete against each other to... More > form various polygon figures by connecting dots. So much fun, they won’t even know their learning Contact Jeremiah Dyke Hands On Math http://handsonmath.blogspot.com/ handonmath@gmail.com< Less
Isometric Dot Workbook: Games For Teaching Polygons By Jeremiah Dyke
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The following workbook offers a fun way to learn polygon shapes by playing the age-old game "squares" (only with a twist). Using isometric dots, students will compete against each other to... More > form various polygon figures by connecting dots. So much fun, they won’t even know their learning Contact Jeremiah Dyke Hands On Math http://handsonmath.blogspot.com/ handonmath@gmail.com< Less
Old McDonald Had A Farm Filled With 7 Polygons By Kelli Dawn Miller
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Students learn about geometry using the story of Ol' McDonald. Students can predict what animal they think will come next. The book integrates science with mathematics in a fun enjoyable storybook.... More > Students will learn geometry terms such as acute, obtuse and right angle. Students will also learn about different animals' habitats as they learn geometrical concepts.< Less
Origami Flowers and Other Models By Yehuda Peled
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Origami Flowers and Other Models contains 34 origami models: Twenty one of them are flowers, trees and stems. The models range from easy to fold models, suitable for beginners using simple origami... More > paper, to complex models for the more experiences folders, using heavier paper. Some of the complex models the author has created represent realistic examples of the flowers which grew wild in fields near his childhood home: irises, tulips, daffodils, and cyclamens. The book also provides instructions for stems which allow the flowers to stand independently on the table without additional non-origami parts. At the end of the book there are useful instructions for folding polygons and for dividing paper.< Less
Where Has Polly Gone? By Lisa Service
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Netta is an ostrich who has a hard time paying attention in school. On the last day of school, a diversion outside causes Netta to miss the entire Math lesson on polygons. Netta becomes so engrossed... More > with the distraction that she falls out of her chair and her glasses break into tiny polygons! Mrs. Heed, the teacher, calls on her to answer a question on polygons, but she cannot read the board, and she is extremely confused because she wasn’t paying attention! In all of the chaos, Mrs. Heed’s question, “Where is the Polygon?” becomes a big misunderstanding and Netta assumes that Polly is gone. Netta spends her summer vacation traveling all over the world in search of Polly. Each place that Netta visits has an abundance of polygons, starting with triangles and ending with decadrons. However, Netta doesn’t realize that polygons are all around her!< Less
The Shape Team: Polly, the Princess, Perturbs Her Pals By Nathan Cox
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Polly Polygon has a tea party and learns how to be a good host.