TESSELLATIONS Created by : 1.SulasihSMP N I Gresik 2.MinardjiSMP N I Bojonegoro 3.Indriana Y. SMP N 2 Semarang 4.DartoSMP N 4 Pakem 5.M. LahuriSMP N I Ngoro 6.GunariSMP N I Karangmojo
What kind of a geometrical shape forms this design?
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.
Reflections
Tessellation from a rotation
Let’s try together a rotation