Tessellation in Geometry | 3rd Maths Term 3 Chapter 1

Geometry | Term 3 Chapter 1 | 3rd Maths - Tessellation

3rd Maths : Term 3 Unit 1 : Geometry

Tessellation

A tessellation is created when a shape is repeated over and over again covering a plane without any gap or overlap.

When you fit individual tiles together with no gap or overlap to fill a flat space, you have a tiled floor.

We have already learnt that few shapes such as triangles, squares, hexagons tile on a plane while few figures such as pentagons, heptagons do not tessellate on a plane.

1. Complete the shapes by filling the tiles.

2. Draw one more tile to continue the pattern.

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3rd Maths : Term 3 Unit 1 : Geometry : Tessellation | Geometry | Term 3 Chapter 1 | 3rd Maths

Exploring Tangrams and Tiling Patterns | 3rd Grade Maths Geometry

Tangram and Tiling

3rd Maths : Term 1 Unit 1 : Geometry

Tangram

Tangram is a traditional Chinese puzzle made of a square divided into seven pieces (one parallelogram, one square and five triangles) that can be arranged to match particular designs.

Create shapes using tangram pieces

Tangram is a traditional Chinese puzzle made of a square divided into seven pieces (one parallelogram, one square and five triangles) that can be arranged to match particular designs. We can make many figures of animals people and other things. Simplified version of tangram puzzle is available with five pieces also.

5 pieces tangram

look at 5 pieces of the tangram. cut the 5 pieces from a paper with help of your elders and try make the given shapes out of it.

Try this

How many triangles are there in a five piece tangram set? Are they equal in size?

Answer: There are three triangles. 2 and 5 equal in size, but 1 is different in size.

7–pieces tangram

Here is the picture of a seven–piece tangram. You can cut out these pieces from a paper and put them together in different ways to make some very interesting shapes.

Teacher’s note: Teacher can enable the children create various shapes using the tangram sets.

Practice

Number the pieces in each of these figures according to the numbering in the tangram puzzle.

Tiling and Tessellation

Tile a given region using a tile of given shape.

When you fit individual tiles together with no gaps or overlaps to fill a flat space, you have a tiled floor.

Observe the pictures

Baked clay in the form of a shape that is used to cover surfaces is called tile.

Let us Explore

There are some shapes that cannot be used to make tiling patterns why? what are they? Name them and give reasons.

Answer: opposite side or diagonals must be equal for tiles to join. Some shapes that cannot be used to make tiling patterns are Circles or ovals. Both have no opposite side to joint.

Practice

Complete the following tiling pattern.

When we repeat individual tiles or patterns together with no gaps or overlaps to fill a flat space, the arrangement is called tessellation (or tiling).

Activity 6

Tessellate a new region using the following shapes:

Triangles, squares, hexagons are the regular polygons tessellate in the plane.

Here

Distinguish between shapes that tile and that do not tile.

Observe the following pictures that do not tile.

Though pentagons and heptagons are regular polygons they do not tessellate.

Activity 7

Ask the children to draw tessellate in the plane region using square and pentagon.

3rd Maths Term 3 Unit 1 Geometry | Tessellation Explained

வடிவியல்: தள நிரப்பிகள்

மூன்றாம் பருவம் | அலகு 1 | 3 ஆம் வகுப்பு கணக்கு

தள நிரப்பிகள்

ஒரு வடிவம் பலமுறை பயன்படுத்தப்பட்டு இடைவெளி இன்றி ஒரு தளத்தை அடுத்தடுத்த சுழற்சியில் நிரப்பும்போது அவற்றைத் தள நிரப்பிகள் என்கிறோம்.

ஒரு சமதளத்தில் இடைவெளி இன்றி வில்லைகளை / ஓடுகளைப் பொருத்தும்போது நாம் வில்லைகள் அடங்கிய தரை கிடைக்கப் பெறுகின்றோம்.

முக்கோணம், சதுரம், அறுங்கோணம் போன்ற வடிவங்கள் ஒரு தளத்தை நிரப்பும். ஆனால் ஐங்கோணம், எண்கோணம் போன்ற அமைப்புகள் தள நிரப்பிகள் ஆகாது.

பயிற்சிகள்

1. வடிவங்களை வில்லைகள் / ஓடுகள் கொண்டு நிறைவு செய்க.

2. இந்த அமைப்பில் வரக்கூடிய அடுத்த வில்லையைத் தொடர்க