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GEO-MAGIC

CURRICULUM GUIDE
by

Deborah Barnes
Helen Ross
Deborah Wade

July 23, 1999

  • Introduction

    •  
  • Aim
  • Rationale
  • Audience
  • Pre-requisites
  • Subject-Matter
  • Goals and Objectives
  • Instructional Plan
  • Materials
  • Assessment and Evaluation
  • Appendices
  • Resources
  • Glossary

    • Introduction

        The Geo-Magic team has designed an online curriculum guide that will assist teachers with geometry avtivities for students in grades 6th through 8th. Included in this guide, teachers will find a wealth of information on geometry. The objectives are matched with appropriate online links, activities, puzzles, and quizzes. Links to the Illinois State Goals and the Chicago Public Schools Academic Standards are included as a handy reference. Teacers and students will find this curriculum guide extremely worthwhile as they go online and explore the world of Geo-Magic!

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    Aim

        The main purpose of the Geo-Magic curriculum is to have middle school students (grades 6th through 8th) gain additional knowledge and understanding of geometric shapes with an emphasis on working with angles, tangrams, and the Internet.

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    Rationale

        Research has shown that students do not test well on geometric concepts.  In our discussion with middle school students they feel that geometry is boring and has no meaning in their lives.  The Geo-Magic would like to create an atmosphere that makes geometry fun with hands on manipulatives, show the relationship between geometry and their everyday lives and encourage students to explore geometry from a technological point of view while working with tangram sets.
        After students are comfortable working with and using tangrams, language arts will be incorporated into the curriculum.  Students will make a word search and crossword puzzle. They will use Bloom's Taxonomy to write open ended questions to prepare students for the I.S.A.T. examination.
     

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    Goals and Objectives

    Upon completion of this lesson/activities students should be able to:
     

    State and local standards are listed below:

    Illinois State Goals
    http://www.isbe.state.il.us/ils/ldefault0.html

    Chicago Public Schools Academic Standards
    http://www.cps.k12.il.us/Instruction/CAS/
     
     
     
     
     
     

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    Audience

        This lesson is intended for middle school students grades 6th - 8th.  It can also be modified to accommodate lower levels from grades K-5 or even higher levels if it can be incorporated into the curriculum and state goals for that grade.
     

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    Pre-requisites

        Students using this curriculum will be in grades 6th - 8th with various test scores, including some with special needs. Since inclusion is mandatory at all public schools two teachers will be present in some classes.  Students must be familiar with and have some experience with geometry, the technology lab, using URL's and searching the web.  If there are enough computers in your technology lab it is recommended that students work individually to receive the greatest benefit from these lessons.  Teachers may use their own discretion on whether to group students for these lessons to incorporate cooperative learning.
     
     
     

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    Subject-Matter

        The focus of this curriculum is geometry using the Internet with a major emphasis on angles, area, and perimeter.  Language Arts and Social Studies activities will be incorporated into some of the lessons.
     

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    Instructional Plan

         Activities and questions are provided throughout this curriculum that students can view and work with dealing with geometry, language arts and social studies.  This is a two week unit consisting of ten forty-five minute lessons.  Teacher should view the entire lesson and sites before introducing this curriculum to your students.
     

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    Materials


     

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    Assessment and Evaluation

    Students must pass assessments with at least 70% accuracy.
     

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    Appendices

    Resources

    Make A Set
    http://www.geocities.com/TimesSquare/Arcade/1335/makeset.htm

    Curriculum Lessons
    http://tqd.advanced.org/2647/geometry/geometry.htm
    http://www.kqed.org/cell/golden/tangrams.htm#obj
    http://forum.swarthmore.edu/trscavo/tangrams/area.html
    http://forum.swarthmore.edu/trascavo/tangrams.html
    http://www.edvidnet.com/Guides/Questions/434V%20Geo%201.html
    http://www.sunny.issaquah.wednet.edu/mathclub/lesson17/17Lesson.html

    Ordering Tangram Sets
    http://www.sciplus.com/cgi-bin/basket/823032408.47/everything/25694.html

    Angles
    http://www.geom.umn.edu/~demo5337/Group3/angtype.gsp

    Right Angles
    http://www.utc.edu/~cpmawata/geom/geom3.htm

    Angle and Parallel Lines
    http://www.ies.co.jp/math/java/angle.html

    Classifying Angles (Straight, right, and obtuse) Activity Sheet
    http://www.netcore.ca/~gibsonjs/m7001-7d.htm

    Classifying Angles - Grade 7 Activity Sheet
    http://www.edu.gov.on.ca/eng/document/curricul/activity/day7/d7-g7-me.html

    Vertical Angles Conjecture - Activity Sheet
    http://www.geom.umn.edu/~dwiggins/act01.html

    Congruent Figures and Triangles
    http://www.ies.co.jp/math/java/congruent.html

    Working With Triangles
    http://www.askdrmath.com/faq/formulas/isostri.gsp.html

    Triangle Quiz
    http://www.gomath.com/sat1/tutorial/triangle/p1.html

    Similar Figures
    http://www.ies.co.jp/math/java/similiar.html
    http://www.ies.co.jp/math/java/geomisc.html

    Create Your Own Puzzle
    http://www.puzzlemaker.com

    Bloom's Taxonomy
    http://officeport.com/edu/blooms.htm
    http://officeport.com/edu/bloomq.htm
    http://www.valdosta.edu/~whuitt/psy702/eogsys/bloom.html

    Geometer's On-Line Dictionary
    http://www.crpc.rice.edu/CRPC/GT/sbaxter/STACEY.html

    Geometry Through Art (Teacher resource page)
    http://forum.swarthmore.edu/~sarah/shapiro/

    Parent Resource (Geometry Software)
    http://www.zdnet.com/familypc/content/9708/reviews/03ftsw.geometry.html

    Bubble Geometry (Science)
    http://www.sci.mus.mn.us/sln/tf/b/bubblegeometry/bubblegeometry.html

    Interenet Treasure Hunt on Geometry
    http://www.kn.pacbel.com/wired/fil/pages/huntgeometry1.html

    Patterns, Puzzles and Activities
    http://www.teleport.com/~sgc/tangrams.htm
    http://www.stargraphics.com/pat.htm - bird pattern
    http://www.geocities.com/TimesSquare/Arcade/1335/puzzle.htm
     
     
     

    Glossary

    acute angle - An angle with a measure less than 90 degrees.

    angle - Two rays with a common endpoint called a vertex.

    area - The number of square units needed to cover a given space.

    complementary angle - Two angles whose measures have a sum of 90 degrees.

    congruent - Equal.

    degree - A unit for measuring angles.

    geometry - A branch of mathematics that deals with the measurement, properties, and relationships of points, lines, angles, surfaces, and solids.

    intersecting lines - Lines that cross at one point.

    isosceles - A triangle with two congruent sides.

    length - The longer or longest dimension of an object.

    obtuse angle - An angle that measure more than 90 degrees but less than 180 degrees.

    parallel lines - Lines in the same plane that never intersect.

    parallelogram - A quadrilateral with opposite sides parallel.  Each pair of opposite sides and angles are congruent.

    perimeter - The distance around a polygon.

    plane - A flat surface extending in all directions.

    point - An exact location in space.

    polygon - A closed plane figure made up of line segments.

    puzzle - To solve with difficulty or ingenuity.

    quadrilateral - A polygon with fours sides and four angles whose sum is 360 degrees.

    ray - A part of a line that has one endpoint and extends in one direction without end.

    rectangle - A parallelogram with four right angles.

    right angle - An angle that measures 90 degrees.

    rotation - A transformation obtained by rotating a figure a given turn angle about a point.

    shapes - To give a particular form or shape to.

    similarity - The quality or state of being similar.

    square - Having four equal sides and four right angles.

    supplementary angles - Two angles whose measures have a sum of 180 degrees.

    symmetry - Correspondence in size, shape, and relative position of parts on opposite sides of a dividing line or median plane or about a center of axis.

    tangram - A Chinese puzzle made by cutting a square of thin material into a number of pieces which can be recombined into many different figures.

    triangle - A polygon having three sides.

    vertex - A point where two or more rays meet, where sides of a polygon meet, or where edges of a polyhedron meet.

    width - A distance from side to side.
     
     

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    The contents of theWeb Institute Web Site, including the On-Line Curriculum, Web Tank, and Session Notes, are Copyright 1999, Graham School of General Studies, University of Chicago. No one may print, copy, or otherwise reproduce these materials without the express written permission of the Director of Education Programs at the Graham School. All rights reserved.
    The chapters from Curriculum Webs: A Practical Guide to Weaving the Web into Teaching and Learning are Copyright 1999, Craig A. Cunningham and Marty Billingsley. No one may print, copy, or otherwise reproduce these materials without the express written permission of the authors.. All rights reserved.
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