| |
Objectives
Student will: |
Exceptional
(highest level) |
Competent
(median level) |
Novice
(basic level) |
| Students understand the how the cultural background
of Islamic craftsmen influenced M.C. Escher who was inspired
by the tile work he saw at the Alhambra Palace in Spain. |
Can describe several formal, philosophical, and mathematical
connections between the patterned tile work at the Alhambra
and M.C. Escher’s symmetrical design. |
Can describe both formal and philosophical similarities
between the patterned tile work at the Alhambra and M.C.
Escher’s symmetrical design. |
Can describe formal similarities between the tiles at
the Alhambra palace and M.C. Escher’s symmetrical
design. |
| Students will
understand the mathematical concepts of rotational, reflectional,
and translational transformations. |
Can produce several examples of reflection, translation, and rotation; and can identify several art examples of each type of transformation.
|
Can produce two examples of reflection, translation, and rotation;
and can identify
art examples of two types of transformation. |
Can produce only one example of reflection, translation, or rotation;
and can only identify one art example of
a transformation. |
| Integrate mathematical concepts into graphic design
through tessellations. |
Activities and artworks show significant evidence of
a transformation through a tessellating pattern; all shapes
are congruent and fit together with no gaps or overlaps. |
Activities and artworks show satisfactory evidence of
a transformation through a tessellating pattern; most
shapes are congruent and may show a few gaps or overlaps. |
Activities and artworks show little or no evidence of
a transformation or a tessellating pattern; all shapes
are not all congruent or show many gaps or overlaps. |
| |
Transparencies Associated with this Unit
Transformations
Examples of each type of tranformation.
Islamic Tile Designs Sketches
of tile patterns from the Alhambra Palace.
Shapes within a Circle
Examples of how geometric shapes can be formed based on a pattern of overlapping
circles.
Geometric Design Example,
Triangle A demonstration of the Tessellation Game using a triangular
pattern.
Geometric Design Example,
Hexagon A demonstration of the Tessellation Game using a hexagon.
Geometry in Islamic Design
Images from Islamic Designs for Artists and Craftspeople.
Student Worksheets and Reproducibles
Geometric Shapes, Triangles
Instructions for activities in Lesson Two.
Geometric Shapes, Quadrilaterals
Instructions for activities in Lesson Two.
Circle Templates Templates
for creating shapes and designs for Lesson Three.
Tessellation Chart
A chart for students that documents tessellations in Lesson Two.
Islamic Star Design Demo: Macromedia
Flash, HTML Slideshow
(Netscape users: Netscape 6 does not support
Macromedia Flash.
You may use Netscape 7 or 4.5, Internet Explorer recommended.)
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