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Readers will discover points, lines, and planes. Readers will learn about circles, symmetry, and line relationships. Practice finding perimeter, area, volume, and circumference. You can read this book from beginning to end, or use it to review a specific topic.
More than 60 reproducible worksheets and activities provide students with the opportunity to explore experiment with, and manipulate 2D and 3D shapes. A combination of both written and manipulative activities may be adapted to suit the needs of a wide range of student abilities. Background information and teacher suggestions are included for easy planning and implementation. Supports NCTM Standards and Common Core Standards for Mathematics Grades 1-2. 96 pages.
Presents an instructional approach that helps students in every grade level understand math concepts so they can apply them on assessments, across the curriculum, and outside of school. Provides teaching practices and lesson ideas that give students a stronger foundation for reasoning and problem solving.
Designed for a one-semester course at the junior undergraduate level, Transformational Plane Geometry takes a hands-on, interactive approach to teaching plane geometry. The book is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. The text adheres to the National Council of Teachers of Mathematics Principles and Standards for School Mathematics and the Common Core State Standards Initiative Standards for Mathematical Practice. Future teachers will acquire the skills needed to effectively apply these standards in their classrooms. Following Felix Klein's Erlangen Program, the book provides students in pure mathematics and students in teacher training programs with a concrete visual alternative to Euclid's purely axiomatic approach to plane geometry. It enables geometrical visualization in three ways: Key concepts are motivated with exploratory activities using software specifically designed for performing geometrical constructions, such as Geometer's Sketchpad. Each concept is introduced synthetically (without coordinates) and analytically (with coordinates). Exercises include numerous geometric constructions that use a reflecting instrument, such as a MIRA. After reviewing the essential principles of classical Euclidean geometry, the book covers general transformations of the plane with particular attention to translations, rotations, reflections, stretches, and their compositions. The authors apply these transformations to study congruence, similarity, and symmetry of plane figures and to classify the isometries and similarities of the plane.
Presents a new framework for understanding language, thought, and experience, and for carrying out research.