## Geometry and Art: Tessellations

855days since
Exhibition

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From the Latin:
tessela, a small, square stone used in Roman mosaics.
A plane tessellation is a pattern made up of one or more shapes, completely covering a surface without any gaps or overlaps.

### Essential Questions:

How can I use Math to create Art?

How can I predict which shapes will tessellate?

### Project Description:

The tessellation must be named correctly.  Using a ruler, plain 8.5 X 11 paper, pencils, markers, or crayons, students will construct a tessellation.  The tessellation must use one or more of the following transformations: translation, reflection, rotation. Any regular polygon or polygons may be used.

Geometry 8.G

Understand congruence and similarity using physical models, transparencies, or geometry software.

1. Verify experimentally the properties of rotations, reflections, and translations:

• Lines are taken to lines, and line segments to line segments of the same length.
• Angles are taken to angles of the same measure.
• Parallel lines are taken to parallel lines.

2. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

3. Describe the effects of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

4. Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two- dimensional figures, describe a sequence that exhibits the similarity between them.

The tessellation must be named correctly.  Using a ruler, plain 8.5 X 11 paper, pencils, markers, or crayons, students will construct a tessellation.  The tessellation must use one or more of the following transformations: translation, reflection, rotation. Any regular polygon or polygons may be used.