Drawing Stars & Building Polyhedra PDF Download
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Author: Christopher M. Freeman
Publisher:
ISBN: 9781593630669
Category : Education
Languages : en
Pages : 64
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Book Description
Using this book, students learn to draw stars with seven, eight, or more points, and formulate conjectures about their mathematical structure. They also assemble polygons into 3-D polyhedra and develop spatial intuition. Drawing Stars: Students develop a definition of starand find a procedure for drawing stars with seven, eight, nine, or more points. They also use stars to illustrate multiplication: for example, 2 x 4 = 8 describes two overlapping squares that form an 8-pointed star. Students discern mathematical properties of stars. They distinguish continuous stars (which can be drawn without lifting pencil from paper) from stars that consist of overlapping copies of simpler stars. Students formulate a conjecture that uses the Greatest Common Factor to predict whether a particular star will be continuous or overlapping. Building Polyhedra: Students assemble equilateral triangles, squares, pentagons, hexagons, octagons, and decagons to form symmetrical 3-D solids called polyhedra. This book allows students to experiment for themselves: Some combinations don't work, but students enjoy discovering the combinations that do fit together. Students develop spatial intuition that applies to the structure of molecules, to playground climbing equipment, and to geodesic domes. The book provides reproducible handouts of polygons to photocopy onto colored paper. Students cut out the polygons, fold the flaps, and attach them with small staplers. Completed polyhedra make an attractive wall display. These activities meet four distinct NCTM standards.
Author: Christopher M. Freeman
Publisher:
ISBN: 9781593630669
Category : Education
Languages : en
Pages : 64
Get Book Here
Book Description
Using this book, students learn to draw stars with seven, eight, or more points, and formulate conjectures about their mathematical structure. They also assemble polygons into 3-D polyhedra and develop spatial intuition. Drawing Stars: Students develop a definition of starand find a procedure for drawing stars with seven, eight, nine, or more points. They also use stars to illustrate multiplication: for example, 2 x 4 = 8 describes two overlapping squares that form an 8-pointed star. Students discern mathematical properties of stars. They distinguish continuous stars (which can be drawn without lifting pencil from paper) from stars that consist of overlapping copies of simpler stars. Students formulate a conjecture that uses the Greatest Common Factor to predict whether a particular star will be continuous or overlapping. Building Polyhedra: Students assemble equilateral triangles, squares, pentagons, hexagons, octagons, and decagons to form symmetrical 3-D solids called polyhedra. This book allows students to experiment for themselves: Some combinations don't work, but students enjoy discovering the combinations that do fit together. Students develop spatial intuition that applies to the structure of molecules, to playground climbing equipment, and to geodesic domes. The book provides reproducible handouts of polygons to photocopy onto colored paper. Students cut out the polygons, fold the flaps, and attach them with small staplers. Completed polyhedra make an attractive wall display. These activities meet four distinct NCTM standards.
Author: Sympsionics Design
Publisher:
ISBN: 9789526821733
Category :
Languages : en
Pages : 76
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Book Description
In this book, you will find precise instructions with clear images on how to draw a range of geometric solids. The book includes both simple and more advanced drawings. Step-by-step instructional images are followed, in each case, by a full-colored picture of the finished solid, drawn with colored pencils. The instructions include those for drawing a tetrahedron, a tetrahedron inside a tetrahedron, a cube, a truncated cube, a cuboctahedron, a truncated octahedron, an octahedron inside a cube, a cube inside an octahedron, a stellated octahedron, a small stellated dodecahedron, a great stellated dodecahedron, a dodecahedron, an icosahedron, a dodecahedron inside an icosahedron, an icosahedron inside a dodecahedron, and the golden rectangles inside an icosahedron. There are also instructions on how to draw a golden ratio and a regular pentagon, hexagon and decagon with a ruler and compass.
Author: Robert Fathauer
Publisher: Tessellations
ISBN: 9781938664021
Category : Juvenile Nonfiction
Languages : en
Pages : 111
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Book Description
Polyhedra allow geometric shapes in the plane to become solids in our three-dimensional world. Tessellations in which individual tiles are lifelike motifs are a fun combination of art and mathematics. Designing and Building Tessellated Polyhedra brings these two fascinating topics together a for hands-on learning experience rich in math content. Nets for 24 different polyhedra, including all of the Platonic and Archimedean solids, are presented both with and without tessellations applied to them. This allows polyhedra to be built with ready-made designs that can be colored if desired, or printed in beautiful color using the included CD. Another option is building undecorated polyhedra that have the names and key properties printed on them. Yet another possibility is to use templates to design new tessellations that can be applied to the polyhedra. The book also contains background on polyhedra and templates for tessellated cones, cylinders, and Msbius strips. For classroom use, ten activities with worksheets, designed to address ten different specific Common Core State Standards for Mathematics are included as well. Ages 12-17
Author: Joan Franklin Smutny
Publisher: Corwin Press
ISBN: 1452237220
Category : Education
Languages : en
Pages : 345
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Book Description
"Contains priceless examples of teachers sharing their particular expertise on how to bring creativity and excitement back to our classrooms. Best of all, the strategies are integrated with required standards." —Susan Winebrenner, Author and Staff Development Specialist Education Consulting Service, Inc. "There are many books that establish the importance of providing creative, stimulating learning experiences, but here is a book that provides strategies for exactly how that can be done." —Barbara Clark, Professor Emeritus California State University, Los Angeles Provide exciting, enriching learning experiences for gifted students through proven strategies from master teachers! How can I motivate my gifted students using the resources I already have? How can I stimulate their imaginations to further their learning? This book is packed with practical activities that allow students to bring their insights, observations, imaginations, and experiences to the classroom. Igniting Creativity in Gifted Learners, K–6 helps elementary school teachers use creative methods to enhance gifted students′ learning and stimulate higher-level thinking, discovery, and invention. Linked to curriculum standards, these ready-to-use strategies, activities, and examples help teachers: Inspire students in reading, writing, social studies, mathematics, science, and the arts Tie creative processes to learning outcomes Incorporate technology into instruction where appropriate Encourage students to explore new avenues for thinking and learning Use these contributions from experienced educators to make creativity a vital ingredient in classroom instruction and the learning process!
Author: Peter John Hilton
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 188
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Book Description
Author: Joan Franklin Smutny
Publisher: Corwin Press
ISBN: 141297545X
Category : Education
Languages : en
Pages : 201
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Book Description
Provides practical tools for differentiating instruction for advanced learners with existing resources in specific content areas that benefit all students.
Author: Joan Franklin Smutny
Publisher: Corwin Press
ISBN: 1412975557
Category : Education
Languages : en
Pages : 561
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Book Description
Designed to help teachers meet the diverse needs of young children, this book offers differentiated strategies for promoting intellectual discovery and creative thinking across key disciplines.
Author: Magnus J. Wenninger
Publisher: Cambridge University Press
ISBN: 9780521098595
Category : Mathematics
Languages : en
Pages : 224
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Book Description
he author describes simply and carefully how to make models of all the known uniform polyhedra and some of the stellated forms.
Author: Jean-François Gabriel
Publisher: John Wiley & Sons
ISBN: 9780471122616
Category : Architecture
Languages : en
Pages : 554
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Book Description
Diese Sammlung von Beitragen anerkannter Autoren zur Architektur, die uber den Quader hinausgeht, ist das einzige derzeit am Markt befindliche Referenzwerk auf diesem Gebiet. Theoretische und praktische Aspekte der Konstruktion von Vielflachnern und raumlichen Gebilden werden anhand von uber 480 Zeichnungen und zahlreichen Fotographien anschaulich erlautert. (02/98)
Author: A. G. Smith
Publisher: Courier Corporation
ISBN: 0486441024
Category : Juvenile Nonfiction
Languages : en
Pages : 36
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Book Description
For coloring book fans who like challenges, here is an entertaining collection of 30 optically demanding and delightfully disconcerting illustrations. Intriguing assortment of heavenly bodies — stars within stars, interlacing stars, and polyhedra-like configurations — can be colored in bold hues or soft, muted tones for completely original results.
