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Explore the art of tessellations through the creation of geometric patterns using various shapes. Discover the rules of tessellation and experiment with different transformations.
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TESSELLATIONS • Created by : • Sulasih SMP N I Gresik • Minardji SMP N I Bojonegoro • Indriana Y. SMP N 2 Semarang • Darto SMP N 4 Pakem • M. Lahuri SMP N I Ngoro • Gunari SMP N I Karangmojo
INDICATORS: • Creating tessellations using equilateral triangle, regular hexagon, rhombus, and trapezoid. • Explaining whether tessellation can be created using a square and an equilateral triangle, and justifying the answer with a drawing. • Determining the sum of measures of the angles where the vertices of the figures meet in the tessellations. • Determining the name of two figures that cannot be used to create a tessellation and justifying the answer with a drawing. • Creating tessellation using other pattern blocks.
Tessellations A pattern formmed by repeating figures that fit together without gaps or overlaps is a tessellation. Tessellations are formed using translation(slides), reflection(flips), or rotation(turns) of congruent figures
Three Common Transformations 1. Translation, which is a slide of one side of the polygon. 2. Reflection, which is a flip or mirror image of one side of the polygon. 3. Rotation, which is a turn of a side around one vertex of the polygon.
Tessellation from a rotation
Let’s try together a rotation