This purchase includes three PowerPoints of 47 slides and the accompanying 19-page activity guide, with a total of 66 pages. You can use the free Adobe Acrobat Reader download for students to write into the activity guide. This is a short unit study, within a year-long course called MathArt. Natureglo teaches the MathArt two-semester live virtual course to homeschool upper elementary, middle and high school age students. This package includes links to the full course MathArt class website loaded with great resources including video tutorials, project and activity guides and more web resources. The beautifully illustrated two-part PowerPoints feature the physics of snow crystal development, famous snow physicists work and the varieties of snowflakes and their geometry. The study guide that goes along with the PowerPoints include questions for students to journal about regarding the PowerPoint and movie clips found on the MathArt Virtual Library website snowflakes page. This unique and beautifully illustrated study guide features one of nature’s most astounding miracles and wonders in science and mathematics. How do snow crystals form? How many different kinds are there? Can scientists make them in the lab? The wonder of snow on a microscopic level is a world unto its own. You’ll study famous snow physicists, photographers and the major snow crystal varieties. Students are given the opportunity to draw and take notes in the activity guide and a suggested journal. Students can learn to design their own virtual snowflakes and choose from varying projects and activities from the study guide and MathArt class Website. I hope you and your students enjoy this snowy resource!

Symmetry is all around us. It’s found in art, biology, architecture and all over the natural world. Look in the mirror at your own face to observe your very own bilateral symmetrical facial features. Do you have a pet at home? Look at your pet’s face and body and observe their symmetries. The study guide takes you through a review of the PowerPoint content for this short unit study. In addition, there are projects, activities and videos found at the MathArt Virtual Library under the MathArt II menu bar, with symmetry found in the drop down menu. What’s included? * One 15-page profusely illustrated PowerPoint (including 3 file formats: pptx, ppt & pdf) * One 11-page study guide (pdf file format) What’s in the study guide? * PowerPoint review questions * 1 quiz * 1 journal template * 1 scoring rubric * Answer key

This BUNDLE is 57 pages including the two PowerPoints and the activity guide. The 24-page activity guide includes “PowerPoint Interaction” questions with answer keys and journal page templates for students to journal about their favorite M.C. Escher topics and or tessellations. In addition, students will receive a link to the M.C. Escher and Tessellations resource pages found on the MathArt Virtual Library website. The pages feature projects and activities related to M.C. Escher’s works, tessellation activities, additional web resources and videos for further learning. Famed Dutch artist, M.C. Escher (1898 - 1972) though a sickly child became a self-taught “MathArtist” genius. Escher created works beyond the human imagination inspired from adventures such as a visit to the Moors’ castle of the Alhambra in Spain, a Mediterranean voyage among other European travels. Undaunted by his lack of mathematica training, he found more in common with mathematicians of his day, such as English professor of mathematics, Roger Penrose than he did with fellow artists. His use of tessellations (the tiling of a two-dimensional flat surface with repeating patterns without gaps or overlaps) in his artwork has inspired artists, art appreciators and mathematicians for decades. Come take a journey through time to see the magnificent artwork of this “MathArtist Magician” as we study Escher’s life, the “behind the scenes” of how his artwork was created, along with a tour of the mathematical wonder and beauty of tessellations found in both art, architecture, art history and nature.

This can be used as a short unit study. Come on a journey learning about famed “MathArtist”, Leonardo da Vinci! da Vinci, one of the greatest men and genius’ of his time, was considered a “polymath”, meaning he mastered many subjects. Among many subjects, he was considered a great artist, mathematician, architect, inventor, botanist and writer, to name a few. The term polymath applies to such people as Leonardo da Vinci during the Renaissance period. The Renaissance approximately spanned the 14th to the 17th century, began in Italy in the late Middle Ages and later spread to the rest of Europe. This 2-part PowerPoint with accompanying activity guide focuses on da Vinci’s unquenchable thirst and curiosity for the relationships with mathematics, science, art and nature. In this study, we look at how da Vinci found remarkable relationships with these four topics and integrated them profusely in written work throughout his journals. What’s in the BUNDLE This BUNDLE includes two PowerPoints totaling 26 slides along with a 24-page activity guide featuring “PowerPoint Interaction Questions”, drawing activities and an answer key. In addition, students are given four journal templates with guiding questions about topics of their choice within the study. Finally, students are given a link to the Leonardo da Vinci resource page hosted on Natureglo’s eScience MathArt website. The link will give students access to web resources, projects and activities, videos and more!

A perfect year-round mini study with an outdoor treasure hunt! This is a 19-page thematic activity lesson introducing students of all ages to shapes, patterns and numbers in nature with an outdoor treasure hunt for circular patterns found in nature. It is suggested for all ages since most modern education barely touches on patterns found in nature, a branch of Sacred Geometry. Sacred Geometry describes assertions to a mathematical order at the heart of the universe. This series incorporates basic math, geometry, writing, art and ancient history. Through nature connections outdoors, students learn to appreciate and open their eyes to nature’s patterns and apply nature’s template in their own art work, writing and mathematical thinking. These activities can be adjusted for any type of learning situation and any age group. There is a total of 19 pages in the activity guide including the main activity, nature journal guide with questions, varying age appropriate Venn Diagram handouts and large photographs of the author’s nature photography of the five SCOCS (spirals, curves, ovals, circles and spheres) patterns examined. The complimentary 13-slide PowerPoint, features an introduction to nature’s circular patterns including the mysterious Flower of Life design found in ancient art, architecture and across the religions around the world. NatureGlo’s MathArt curriculum activity guides are a step outside the usual four walls of a classroom and into the great outdoors classroom investigating shapes, patterns and getting students hands dirty as they observe and experience nature’s beauty through nature connecting activities. Through outdoor experiences and investigations of nature’s patterns, students participate in project based learning with innovative activities, projects and learning center choices. They are free to express their genius in mathematics through arts, crafts, games, plays, photography, video and whatever other media they choose to show their learning. What’s included? 1). Total of 35 pages 2). One 13-slide PowerPoint 3). One 19-page activity guide 4). Answer key

This unit study includes 101 pages. Come explore the history of the amazing golden number and meet famed 13th century MathArtist, Leonardo Pisano Bigollo or Fibonacci who introduced the Fibonacci number sequence 0, 1, 1, 2, 3, 5, 8 etc. to the western world in 1202 AD in his book, Liber Abaci. This unit explores the golden number, or the ratio for beauty exhibted by the number 1.618 found in art, architectures, nature and more! The unit also explores the history of the Fibonacci numbers, which also are related to the golden number. You can find the mysterious Fibonacci number series in many unusual places in nature like the number of spiral turns around a pine cone, pineapple and sunflower head, and number of flower petals such as daisies and trillium. The golden ratio is found in such famous works such as Leonardo da Vinci’s Mona Lisa, Last Supper and in ancient architecture such as the Greek Parthenon. What’s included? * 3 PowerPoints (15-page, 16-page and 15-page PowerPoint) * 2 activity guides, (35-page and 20-pages) * PowerPoint interaction questions per PowerPoint * Drawing activities * Journal templates for students to write about Fibonacci and the golden ratio with an answer key * Links to the MathArt course Virtual Library website loaded with resources including web pages, project and activity ideas and educational videos about the topic.

The Fibonacci number sequence has been astonishing and baffling mathematicians, nature lovers, scientists and the curious mind for ions. This number sequence was introduced by medieval, Italian, mathematician Leonardo of Pisa in his 1202 book, Liber Abaci (Book of Calculation). Along with the Hindu-Arabic numerals, which we use today (0 – 9), he introduced the east Indians use of the Fibonacci sequence through a famous problem about rabbit population growth. The sequence was named after him by number theorist Edouard Lucas in the 19th century. The number sequence is achieved by adding each of two subsequent numbers together to acquire the next number. It begins with 0 or 1, but the east Indians preferred to start with 1. It goes like this: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 and into infinity! This rather remarkable sequence is found all over nature, but especially in the plant kingdom. Most spirals grow by way of the Fibonacci sequence as its angles give the best sunlight exposure. Numbers of petals on flowers are many times Fibonacci numbers, such as 3 petals found on the Painted trillium, irises, and lilies, 5 found in buttercups, columbine and wild rose and 34 in plantains and pyrethrum. The number of spirals turns, both clockwise and counterclockwise found in such familiar plants as pineapples, pinecones and sunflowers are usually Fibonacci numbers. Come on a fascinating journey and learn about one of nature’s amazing codes for growth and life! This unit includes the following: 1). A profusely and beautifully illustrated 13-page PowerPoint using photographs from nature (the PowerPoint is the main textbook for the unit study) 2). 18-page study guide with PowerPoint interaction questions 3). Connections with ancient history, math and nature 4). Journal Entry template 5). Web resources link page on the MathArt course website 6). NatureGlo’s eScience student project rubric 7). 20-page Lapbooking or Notebooking templates 9). Templates Answer Keys 9). One Quiz 10). PowerPoint Interaction Questions and Quiz answer keys

This poster illustrates the ancient Greek geometric thought correlating geometric shapes with numbers. All ages can enjoy the beautiful photographs from Natureglo's photography of wildflowers illustrating the simplistic concept of the numbers and their geometric relationship.