## Visual Mathematics Series: Intermediate Geometry Problems

### Kiran R. Desai Ph.D.

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The problems in this book are suggested for evaluating the concepts taught in the intermediate geometry class. The problems are of a highly visual nature and meant to be challenging. The problems are designed to lead to a merging of geometry and art at the middle school level. The problems presented in this book include: · Visual problems to determine area of various iterative polygon based shapes · Visual representation of solid objects to determine their volume · Visual medley of circles, squares, and triangles to determine their relationships · Determining properties of angles, triangles, square, and rhombus · Visual problems for determining equivalence of geometric properties of polygonal shapes · Determination of area of objects using reference objects as basic elements · Visual representations of lines and triangles to solve problems based on equations · Identifying intersection points for an underlying visual diagram · Application of Pythagorean Theorem to problems represented visually · Applications of factorization and LCM to problems on area and volume · Changes to area of triangles based on various construction techniques · Inferences for area or angle measures of unknown elements in constructed diagrams Also available at CreateSpace eStore: https://www.createspace.com/3623925

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Kiran R. Desai received a Ph.D. in Computer Science from Binghamton University, New York, in 1996, specializing in Parallel Processing Interconnection Networks. Even after working in the computer industry for more than a decade, he has an inclination to contribute to mathematics education and problem solving skills. As an elementary student, he discovered a simple way to find the next squared number if he started from squares of increasing numbers. (1, (1+3) = 4, (4+5)= 9, (9+7) = 16, (16+9) = 25, ...). As a high school student he developed the ability to solve the Rubik’sTM cube on his own when it became popular. As a doctoral candidate, he continued to solve various graph and mathematics problems by analysis and using computers. During his Ph.D., he also taught a course on Computer Algorithms. During his graduate studies, he authored and co-authored 10 refereed papers. He believes that developing a love for mathematics and problem solving at an early age helps build a strong foundation for the later years in life.

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## 1.Visual Mathematics Series: Intermediate Geometry Problems

ISBN 10: 146355236X ISBN 13: 9781463552367
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Book Description CreateSpace Independent Publishing Platform. Condition: New. Paperback. Worldwide shipping. FREE fast shipping inside USA (express 2-3 day delivery also available). Tracking service included. Ships from United States of America. Seller Inventory # 146355236X

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## 2.Intermediate Geometry Problems

ISBN 10: 146355236X ISBN 13: 9781463552367
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Revaluation Books
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Book Description Createspace Independent Pub, 2011. Paperback. Condition: Brand New. 58 pages. 10.00x8.00x0.14 inches. This item is printed on demand. Seller Inventory # zk146355236X