Lesson Plans 1 - Zometool

1 Www Zometool com 2009 Zometool , Inc. Zometool is a registered trademark of Zometool Inc. 1-888-966-3386 US Patents RE 33,785; 6,840,699 B2. Based on the 31-zone system, discovered by Steve Baer, Zomeworks Corp., USAL esson Plans SystemBuilds Genius!1 Table of Contents 2002 by Zometool , Inc. All rights System in the ClassroomSubjects Addressed by Zome System ..5 Organization of Plans .. 5 Graphics ..5 Standards and Assessment ..6 Preparing for Class ..6 Discovery Learning with Zome System ..7 Cooperative vs Individual Learning ..7 Working with Diverse Student Groups.

2 7 Additional Resources ..8 Caring for your Zome System Kit ..8 Basic Concept PlansGeometric Shapes ..9 Geometry Is All Around Us ..112-D Polygons ..13 Animal Form ..15 Attention!..Angles ..17 Squares and Rectangles ..19 Try the Triangles ..21 Similar Triangles ..23 The Equilateral Triangle ..252-D and 3-D Shapes ..27 Shape and Number ..29 What Is Reflection Symmetry? ..33 Multiple Reflection Symmetries ..35 Rotational Symmetry ..39 What is Perimeter? ..41 Perimeter Puzzles ..43 What Is Area? ..45 Volume For Beginners ..47 Beginning Bubbles.

3 49 Rhombi ..53 What Are Quadrilaterals? ..55 Trying Tessellations ..57 Tilings with Quadrilaterals ..59 Triangle Tiles - I ..61 Translational Symmetries in Tilings ..63 Spinners ..65 Printing with Zome System ..67 Zome SystemBuilds Genius!Printing Cubes and Pyramids ..69 Picasso and Math ..73 Speed Lines! ..75 Squashing Shapes ..77 Cubes - I ..79 Cubes - II ..83 Cubes - III ..87 Cubes - IV ..89 Even and Odd Numbers ..91 Intermediate Concept PlansDescriptive Writing ..93 Bubbles II: Surface Tension and Minimal Surfaces ..95 Tallest Tower in the World.

4 99 The Livable City ..103 Prime Factors ..105 Plane Patterns ..109 Triangle Tiles - II ..111 Tilings with Multiple Symmetries ..115 Spiral Symmetry ..117 Symmetries in Quadrilateral Tilings ..119 Measures of Space - I: Length and Areas ..121 Measures of Space - II: Volumes ..1253-D Triangles ..1293-D Triangle Tiles ..133 Finding Tau ..137 Naming 2-D and 3-D Shapes ..141 Plato s Solids - I ..145 Plato s Solids - II ..1492-D and 3-D Stars ..153 Kepler s Tilings ..155 Richert-Penrose Tilings ..157 Bridge Building Project ..159 Euler s Formula for Polyhedra.

5 171 Fun Fibonacci ..175 Fibonacci Numbers and the Golden Section ..179 Advanced Concept PlansArchimedian Solids ..181 Beehive City ..185 Similarity and the Golden Section ..189 Table of Contents 2002 by Zometool , Inc. All rights SystemBuilds Genius!3 Resources and Recommended ReadingsBooks Recommended for Specific Lesson Plans ..191 Suggested Extension Resources ..191 Blueprint, or Photosensitive, Paper: How to Use With Zome System ..191 Polygon Shapes for Paper Models ..193 Academic StandardsFine Art Standards ..201 Language Arts Standards.

6 201 Physical Science Standards ..201 Mathematics Standards for Grades K-4 ..202 Mathematics Standards for Grades 5-8 ..202 Mathematics Standards for Grades 9-12 ..205 Zome System Glossary ..209 Table of Contents 2002 by Zometool , Inc. All rights reserved. 1526 South Pearl Street, Denver, Colorado 80210, USAP hone: 303-733-2880 Toll Free: 888-966-3386 Web site: SystemBuilds Genius!5 Subjects addressed by Zome SystemThe relationships inherent in Zome System s components make it possible to teach a vast num-ber of concepts. Teachers can apply the system to both purely mathematical pursuits, as well as a toolto explore structure and geometry as they relate technology, fine arts and the natural sciences.

7 Whilea few of these concepts are covered by the initial Lesson Plans in this document, many more can beillustrated with Zome System. A partial list of ideas include: Art: proportions and scale, symmetry, perspective drawing, mosaics, and architectural design; Biology: symmetries in fruits and flowers, Fibonacci sequences, cell structures; honeycombs, DNAstructures; Chemistry: basic molecules, Buckyballs and other complex molecules; Civics: city planning; resource distribution, role of art and design in society; Geology: crystallography Mathematics: geometry, numbers sense, progressions, algebra, trigonometry, Fibonacci sequences,budgeting.

8 Physics/technology: perspective drawing, architectural structures, stresses and gravity forces, of Plans The Lesson Plans are divided into three groups based on complexity level; basic concepts, inter-mediate concepts, and advanced concepts . The complexity level is noted at the top of each three complexity levels are related to, but not limited to, the grade level the Plans are appropri-ate for. It is quite possible that we have miscalculated the appropriate complexity level for some of theplans. Teachers should evaluate the Plans individually before introducing the concepts to their stu-dents.

9 The intent of the complexity classification is that first through third grade students will be ableto grasp the easier basic concept Plans . Fourth and fifth graders will be able to work with all the basic concept Plans , and in many cases move into the intermediate concepts. Middle school, andhigh school teachers should review the basic concept Plans before moving into the intermediate and advanced Plans . The lessons Shape and Number, What is Reflection Symmetry? and MultipleReflection Symmetry are particularly important for all grade levels to have covered before encourage all teachers to try concepts that they might not have attempted with their students inthe past.

10 Zome System is a very powerful system, and even very young students can use it to under-stand advanced lessons are organized in strings, where a plan may build on concepts introduced in aprevious one, and suggest continuation in more advanced ones. Here it is also important that theteacher ensures that students understand the basic ideas and how they work in Zome System, beforethey start working on the intermediate and advanced Plans . GraphicsMost of the Plans in Zome System Lesson Plans graphics of Zome System models are either required in the Plans , or are examples of structures students may build duringthe class.