Navigating through geometry in grades 68
Series: Navigations series.
Grades: 6 7 8
ENC#: ENC026884
Edition: CDROM: Macintosh/Windows version.
Publisher: National Council of Teachers of Mathematics (NCTM)
Date: 2002
Ordering Information


Subjects:
 Mathematics Coordinate systems. Curriculum. Deductive reasoning. Geometry. Inductive reasoning. Instructional issues. Process skills. Shapes. Spatial sense. Symmetry. Teaching methods. Transformations. Visualization. 
Resource Type: Lessons and activities.
Abstract: This book with CDROM, part of the NAVIGATIONS series, is written to help teachers introduce geometric concepts to students in grades 68. The NAVIGATIONS series, designed as a curriculum supplement, extends the National Council of Teachers of Mathematics' Principles and Standards for School Mathematics into classroom practice. Each book in the series addresses one content standard in one of four grade bands (preK to 2, 3 to 5, 6 to 8, and 9 to 12). All books contain background information about the development of mathematical thinking and complete lesson plans with activities to engage, explore, and extend student understanding. Lesson plans include goals for student accomplishment and questions to stimulate students' thinking about mathematics. The accompanying CDs contain gradebandspecific professional development readings and applets for interactive student exploration of concepts.
This book's geometry lessons emphasize geometric thinking and are designed to help students make the transition from empiricallybased, inductive reasoning to the deductive use of rules and abstract thinking. In addition, students learn to use multiple representations and transformations as tools for analysis. In one lesson, students explore dilations as a method for creating similar figures in coordinate space. Students draw an irregular pentagon and a triangle on a coordinate plane. Students identify the coordinates of each vertex, multiply the coordinates by 2, and plot the new vertices on the plane. The activity is repeated with the factor onehalf. Discussion questions and extensions are included. The accompanying CD contains five applets including software for coordinate geometry and transformation explorations. Using the applets students can also spin and slice polyhedra and sort shapes using Venn diagrams. (Author/JRS)
Table of Contents: [Text:] About this book Introduction 1. Characteristics and properties of shapes Geodee's sorting scheme Exploring triangles Exploring similar figures Dilating figures Using Venn diagrams to reason about shapes Midsegments of triangles Reasoning about the Pythagorean theorem 2. Coordinate geometry and other representational systems Constructing geometric figures in coordinate space Exploring lines, midpoints, and triangles using coordinate geometry Similarity and the coordinate plane Exploring the slopes of parallel and perpendicular lines 3. Transformations and symmetry Reflection of images Translations, reflections, and rotations Using scale factors Explorations with lines of symmetry Understanding types of symmetry Rotational symmetry and regular polygons Drawing figures with symmetry 4. Visualization, spatial reasoning, and geometric modeling Exploring shapes with tangrams Logos and geometric properties Isometric explorations Cross sections of threedimensional shapes I took a trip on a train Constructing threedimensional figures Minimizing perimeter Indirect measurement The race Looking back and looking ahead Appendix Blackline masters and solutions References
[CDROM:] Introduction Table of standards and expectations, geometry, preK12 Applet activities Coordinate geometry tool I took a trip on a train Shape sorter Spinning and slicing polyhedra Transformation tools Blackline masters and templates Blackline masters Grid paper Isometric dot paper Nets of polyhedra Tangrams Readings and supplemental materials
Vendor: National Council of Teachers of Mathematics, Inc. (NCTM) 1906 Association Drive Reston VA 20191 orders@nctm.org (703) 6209840 (800) 2357566 Fax: (703) 4762970 http://www.nctm.org
  
Pricing Information:
 Description: 1 text (paperback) and 1 CDROM (Macintosh/Windows)  Cost: $31.95  ISBN: 9780873535137  Order#: 12174  
Publisher: National Council of Teachers of Mathematics (NCTM) Notes: Terms governing use and reproduction: Permission to photocopy limited materials from Navigating through geometry in grades 35 is granted for educational purposes. Blackline masters from the CDROM may be downloaded and reproduced for classroom distribution; applets may be used in one classroom at a time. Contributor(s):
 Authors: David K Pugalee; Jeffrey Frykholm; Art Johnson; Hannah Slovin; Carol Malloy; Ron Preston. 
Equipment: WindowsIBM or compatible PC; Adobe Acrobat Reader; an Internet browser such as Netscape or Internet Explorer 5.x or above; specific requirements not listed in materials on hand.
MacintoshMacintosh; Adobe Acrobat Reader; an Internet browser such as Netscape or Internet Explorer 5.x or above; specific requirements not listed in materials on hand. Specifications: 1 text (viii, 128 pages : illustrations ; 28 cm.) 1 CDROM (Macintosh/Windows : color ; 4.75 in.)
Record Created: 03/12/2003 Last Modified: 08/23/2005
