### Dr. Sarah's Spring 2002 Geometry for Teachers of Grades 6-8

Instructor: Dr. Sarah J. Greenwald
The easiest way to contact me outside of class is through e-mail: greenwaldsj@appstate.edu
Office phone: 828-262-2363
Department Fax: 828-265-8617
Appalachian State University, 121 Bodenheimer, 326 Walker Hall, Department of Mathematical Sciences, Boone, NC 28608

50% of your grade will come from Dr. Greenwald's portion of the class:
 Attendance and Class Participation 10% Classwork and Homework 20% Final Project 20%
Classwork and Homework: Problems and explorations will be given regularly. Some of these will be completed individually, while others will be completed in groups. You may be asked to write up solutions, reflections, or your reactions. You will be expected to share solutions and approaches in class.

Final Project: You must choose a topic that was covered in class. You must develop one lesson for this topic that includes the use of technology and a second lesson for this topic suitable for use in a classroom without technology access. You must type up your own lesson plans, notes for the teacher and solutions. In addition, you will reflect on the possible benefits and difficulties of implementation of your lessons and their relationship to the North Carolina Middle Grades 6-8 Mathematics Curriculum for Spatial Sense, Measurement, and Geometry and to the NCTM Principles and Standards for Geometry and Measurement.

North Carolina Middle Grades 6-8 Mathematics Curriculum for Spatial Sense, Measurement, and Geometry
Students expand their study of perimeter and area of parallelograms, triangles, and circles and develop the basic formulas for computing these quantities. They extend this study to an exploration of surface area and volume of prisms, cylinders and cones. Students use computers, calculators, and other tools to draw and construct figures and investigate their properties. They use and make a variety of geometric models in solving problems, becoming proficient in interpreting problem situations geometrically. They explore the concept of slope and relate it to linear variation and rates of change in applications. They plot lines and curves in rectangular coordinates, using pencil and paper, graphing calculators, and computer software.

They study congruent and similar triangles and use the Pythagorean Theorem. They continue to study symmetries and transformations and become proficient at visualizing and recognizing figures which have been changed by slides, rotations and/or reflections. Students measure to specified levels of precision and assess errors in measurement. They study the relationships among length, perimeter, area, and volume.

Students draw or construct figures and investigate their properties using computer software as well as standard drafting tools. They also draw three-dimensional figures from different perspectives. They use ratio and proportion in the study of similar figures. They calculate distances and areas from scale drawings and maps and study measurement systems.

NCTCM Principles and Standards: Geometry Standard for Grades 6-8
http://standards.nctm.org/document/chapter6/geom.htm

NCTCM Principles and Standards: Measurement Standard for Grades 6-8
http://standards.nctm.org/document/chapter6/meas.htm