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250 pages with 60 laboratory lessons and solutions in Algebra and Geometry suitable for use in a high school plane geometry course. Students explore and discover geometric postulates and theorems in Geometry and use their discoveries and observations to write proofs and develop solutions to related algebraic and geometric problems that are provided with each lab. It is an indispensable companion to any standard secondary geometry course. Topics include a complete visual introduction to the postulational system of geometry, the geometric theorems involved with congruence, quadrilaterals, proportional line segments, special triangles and fundamental locus theorems. This book requires the use of the Geometer's Sketchpad, Version 5, a registered trademark of Key Curriculum Press. The book was supported by Key Curriculum Press with a grant to the authors. This is a revised version of the previously published "Explorations and Discoveries in Mathematics Using the Geometer's Sketchpad Version 4, Volume 3" 2007.
The 69 lessons on a CD are suitable for use by individual teachers and students in a secondary level course in Plane Geometry, including full Euclidean proofs and constructions. Prior installation of version 4 or 5 of Geometer's Sketchpad(R), distributed by Key Curriculum Press on school computers is required. Publication of this CD was supported by Key Curriculum Press with a grant to the authors. The pamphlet does not contain the CD itself. Your CD will be produced when you purchase this pamphlet. In order for us to get the CD, Explorations and Discoveries in Mathematics Volume 3 to you, please email your receipt of purchase from Lulu.com, Amazon or any other retailer to [email protected] and [email protected]. The receipt of purchase will contain your complete address. Your CD will be mailed to you upon receiving of your receipt of purchase
It is designed for the download on the school/school district computers and to be available to all teachers and students. The 69 lessons on a CD are suitable for use by teachers and students in a secondary level course in Plane Geometry, including full Euclidean proofs and constructions. Prior installation of version 4 or 5 of Geometer's Sketchpad(R), distributed by Key Curriculum Press on school computers is required. Publication of this CD was supported by Key Curriculum Press with a grant to the authors. The pamphlet does not contain the CD itself. Your CD will be produced when you purchase this pamphlet. In order for us to get the CD, Explorations and Discoveries in Mathematics Volume 3 to you, please email your receipt of purchase from Lulu.com, Amazon or any other retailer to [email protected] and [email protected]. The receipt of purchase will contain your complete address. Your CD will be mailed to you upon receiving of your receipt of purchase
Through these Sketchpad activities, students explore content from the domain of geometry and develop skills related to: - isosceles and right triangles - the Pythagorean theorem - translations, rotations, and reflections - areas of parallelograms, triangles, trapezoids, circles, and regular polygons - spatial visualization and three-dimensional models
Designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. The first chapter presents several finite geometries in an axiomatic framework, while Chapter 2 continues the synthetic approach in introducing both Euclids and ideas of non-Euclidean geometry. There follows a new introduction to symmetry and hands-on explorations of isometries that precedes an extensive analytic treatment of similarities and affinities. Chapter 4 presents plane projective geometry both synthetically and analytically, and the new Chapter 5 uses a descriptive and exploratory approach to introduce chaos theory and fractal geometry, stressing the self-similarity of fractals and their generation by transformations from Chapter 3. Throughout, each chapter includes a list of suggested resources for applications or related topics in areas such as art and history, plus this second edition points to Web locations of author-developed guides for dynamic software explorations of the Poincaré model, isometries, projectivities, conics and fractals. Parallel versions are available for "Cabri Geometry" and "Geometers Sketchpad".