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A
World of Symmetry
Project URL
http://www.teachersnetwork.org/teachnet/westchester/symmetry.htm
How it works:
This 2-3 week unit plan is designed to build upon the knowledge that
students have of calculating the area and perimeter of quadrilaterals.
The goals of this unit include: Identifying four basic forms of
symmetry, recognizing symmetry in everyday objects and life forms,
recognizing symmetrical patterns in cultural art, and creating
symmetrical designs.
Week One focuses on the mathematics of symmetry. Week Two focuses on
the application of symmetry to its presence in culture, science, and
the arts, including nature, the folk and craft arts, and industrial
design. Week Three features a student discussion and a
teacher-designed exam. There is a lot of flexibility in adapting the
lessons to individual needs, curriculum, and grade levels. Each
student assignment includes background information, websites,
instructional directions, and a rubric.
Standards addressed:
Students develop mathematical reasoning, identify symmetrical
patterns, increase language skills by speaking and listening, and
respond to and analyze works of art.
Materials
used:
Each student will need access to a computer with Internet
capabilities, a recent version of the Netscape or Internet Explorer browser, and PowerPoint software. Necessary materials are graph
paper, ruler, and pencil, along with math manipulatives such as a
protractor, compass, pattern block set, and dot or graph paper. The
teacher will need transparent pattern blocks, graph paper, and
water-base markers, along with an overhead projector to support and
reinforce the online activities.
The students:
The students attend grades 6 - 8. They represent a cross section of
diversity and academic abilities. They participate individually or in
groups both in and out of the classroom. Before beginning this unit,
students should be familiar with the common names and characteristics
of three- to eight-sided polygons and how to calculate the area and
perimeter of a rectangle, square, and triangle. They should also be
experienced with using a ruler, protractor, and compass to make linear
and angular measurements.
Overall value:
The use of Internet sites in A World of Symmetry
reinforces and enriches mathematical tasks and visually demonstrates
the application of geometric skills. Students are engaged in
observing, reacting to, and creating symmetrical designs found in their
environment and culture. The Internet provides the teacher as well as
the student with anywhere, anytime learning.
Tips:
The teacher will need to become familiar with the material provided at
each website before using this unit with students.
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About the teacher:
Robert Calotta has been teaching grades K-8 for nearly 30 years.
He
has served as an adjunct professor and a consultant in the areas of
educational research, computer technology, curriculum, and
professional development. Currently, he teaches students how software
and the Internet can be integrated into the curriculum to support and
enrich their
educational needs.
E-mail:
rcalotta@ccsd.edu
Subject Areas:
Mathematics
Arts
Technology
Grade Levels:
5-8
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