Utilization
Strategies 
EGGSTREME
TESSELLATION ITV SERIES CHALLENGE OF THE UNKNOWN: Hatching a Giant Egg on a Computer GRADE 6 OVERVIEW The students in this lesson will have had prior experience with pattern blocks and with the pattern block stencils. After a brief review of tiling a plane using pattern blocks, the students will view a video of tessellating an egg shape. Students will focus upon the problem solving strategies used and how tessellation geometry was used to construct the three dimensional figure. Students will then use their own problem solving strategies to create individual tiling patterns that fulfill the requirements of several different assignments. 

LEARNING OBJECTIVES

MATERIALS Each student must have the following:




PREVIEWING ACTIVITIES Students are to use pattern blocks (hexagon, square, rhombus, and equilateral triangle) to create tiling patterns given instructional limitations. Possible limitations include which pattern blocks can be used in tiling or the area that must be covered by the tiling. Students are to focus their attention on the given problem, the problem solving strategy they will use, the manner in which different pattern blocks fit together, and the tiling patterns that the students create. 
FOCUS FOR VIEWING Students should be instructed to focus their attention on identifying the problem, the problem solving strategies used, and the effectiveness of those strategies. Students should also be instructed to focus their attention on any identifiable patterns and geometric shapes they can find in the egg structure and the decorated eggs. 



VIEWING ACTIVITIES START TAPE at beginning of Hatching a Giant Egg on a Computer. PAUSE after narrator says, "the egg would never get off the ground." Questions to students:
RESUME VIDEO & PAUSE after Ron Resch (computer scientist) describes his problem solving strategy. Questions to students:
RESUME VIDEO & PAUSE after Ron Resch's description of an egg. Questions to students:
RESUME VIDEO & PAUSE after paper folding strategy. Questions to students:
RESUME VIDEO & PAUSE after Ron Resch's explanations of continual failures. Questions to students:
RESUME VIDEO & PAUSE after computer graphic egg has been filled with triangles. Questions to students:
RESUME VIDEO & PAUSE after Ron Resch's explanation of the statistically possible patterns? Questions to students:
RESUME VIDEO & STOP TAPE after completed structure with Canadian Mounties at the base is shown. Questions to students:

POST VIEWING ACTIVITIES Part 1: Each student must have a pencil, pattern block stencils, a several blank sheets of paper, and an eraser. Using pattern block stencils (square, equilateral triangle, regular hexagon, and rhombus) students will draw tessellation patterns. The content of these tessellations will be limited by the given instructions. Students must use problem solving strategies to determine solutions to the given tessellation problems. Possible limitations include:
Part 2: Each student must have a pencil, pattern block stencil, poster board cube pattern, scissors, and crayons/markers/colored pencils, and scotch tape/glue. Using the same pattern block stencils used in part one, students will create a tessellation pattern on the cube pattern. After the pattern has been completely drawn, students should select a color pattern that uses at least three colors and add it to their tessellation pattern. After the coloring is completed, the students will cut out the cube pattern and fold it into a cube and fasten the edges together. The cubes can then be displayed. For added difficulty, instruct the students that the tessellation pattern on the cube must be constant around all of the edges as well. Students may have to go through several strategies and trials to create a pattern that will fulfill this requirement. ACTION PLAN Students must have a pencil, bathroom tile stencils, eraser, blank paper, bathroom floor diagram, and instructions. This lesson is based upon an authentic application of tiling and allows the students to see how several of the mathematical concepts and procedures they have learned can be used together in real world applications. EXTENSIONS Social Studies: Study of Ukrainian history, culture, and/or immigration to Canada. Study of various Canadian cultures. Study of other cultures that use patterns in their artwork. Study of the various uses of eggs in different cultures. Science Study of the shape of an egg and the functional purpose of this shape. Study of the strength of an egg and how that relates to its shape. Computers Lab work with computer programs that tessellate. Art Decorate eggs in the traditional Ukrainian style. 

For additional lesson plans and ideas relating to this topic and many others try TeacherSource at PBS Online! You will find activities, lesson plans, teacher guides and links to other great educational web sites! Search the database by keyword, grade level or subject area! Mathline and Scienceline are also great resources for teachers seeking teaching tips, lesson plans, assessment methods, professional development, and much more! The
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