Download presentation

Presentation is loading. Please wait.

1
TESSELLATIONS Oleh : Sulistyana SMP N 1 Wonosari

2
**What kind of a geometrical shape forms this design?**

8
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 figure. 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 figure. Creating tessellation using other pattern blocks.

9
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

10
**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. Read slide… There are other transformations … really combinations of these three… click when completed... 3. Rotation, which is a turn of a side around one vertex of the polygon.

11
Reflections

12
Reflections

13
**Tessellation from a rotation**

Have students complete using third space on worksheet… Use pen tool to model…. click when completed...

14
**Let’s try together a rotation**

Have students complete using third space on worksheet… Use pen tool to model…. click when completed...

15
**Tessellation Have students complete using third space on worksheet…**

A pattern of shapes that fit perfectly together! A Tessellation (or Tiling) is when you cover a surface with a pattern of flat shapes so that there are no overlaps or gaps. Have students complete using third space on worksheet… Use pen tool to model…. click when completed... Examples: Rectangles Octagons and Squares Different Pentagons

16
**1. Regular Tessellations**

A regular tessellation is a pattern made by repeating a regular polygon. Have students complete using third space on worksheet… Use pen tool to model…. click when completed... Triangles Squares Hexagons 6.6.6 There are only 3 regular tessellations

17
Look at a Vertex ... Have students complete using third space on worksheet… Use pen tool to model…. click when completed...

18
**2. Semi-regular Tessellations**

A semi-regular tessellation is made of two or more regular polygons. The pattern at each vertex must be the same! Have students complete using third space on worksheet… Use pen tool to model…. click when completed... There are only 8 semi-regular tessellations:

19
3. Other Tessellations There are also "demiregular" tessellations, but mathematicians disagree on what they actually are! And some people allow curved shapes (not just polygons) so you can have tessellations like these: Have students complete using third space on worksheet… Use pen tool to model…. click when completed...

20
**Have students complete using third space on worksheet…**

Use pen tool to model…. click when completed...

21
**Have students complete using third space on worksheet…**

Use pen tool to model…. click when completed...

22
**Have students complete using third space on worksheet…**

Use pen tool to model…. click when completed...

23
**Have students complete using third space on worksheet…**

Use pen tool to model…. click when completed...

Similar presentations

Presentation is loading. Please wait....

OK

Tessellations.

Tessellations.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on web browser security Ppt on foreign exchange market in india Ppt on natural resources and conservation services Ppt on itc company profile Ppt on job evaluation and merit rating Ppt on pre ignition symptoms Download ppt on life process for class 10 cbse all 10 Free download ppt on modern periodic table Ppt on channels of distribution strategy Ppt on standing order 2-99