The Surajkund Fair – Complete Guide For Class 3 Math Chapter 14

Welcome to iPrep, your Learning Super App. Our learning resources for the chapter, The Surajkund Fair in Mathematics for Class 3rd are designed to ensure you grasp this concept with clarity and perfection. Whether you’re studying for an upcoming exam or strengthening your concepts, our engaging animated videos, practice questions and notes offer you the best of integrated learning with interesting explanations and examples.

We will use our math lesson today to visit the Surajkund Fair. This chapter will teach us how arithmetic concepts like symmetry, patterns, and tiling are present in the exquisite decorations we witness at Surajkund Fair, which is well-known for its vibrant booths, artwork, crafts, and traditional designs.

By the time this course is through, you will know what symmetry is, how symmetry is used to generate patterns, what is tile and how is it applied to designs.

Let’s investigate these subjects while enjoying ourselves with real-world and fair examples!

Symmetry

First, let’s review what symmetry is. When one half of an object looks exactly like the other half, it is said to be symmetrical. Consider it to be a mirror image. For example, a butterfly will appear the same on all sides if you draw a line through its center. We refer to this line as the line of symmetry.

Definition Of Symmetry

Symmetry is when something can be divided into two equal parts that are mirror images of each other.

Line of Symmetry

The term “line of symmetry” refers to the line that splits an object into two symmetrical portions. While some forms and objects only have one line of symmetry, others may have multiple lines. 

Examples of Symmetry:

• Nature: Look at a butterfly’s wings. If you draw a line down the middle, both sides are identical – this is an example of symmetry in nature.
• Shapes: A square has symmetry. If you draw a line from top to bottom through the center of a square, the left side will be a mirror image of the right.
• Everyday Objects: Think of a heart shape. If you fold a paper heart in half, both sides match perfectly.

Activity: Ask students to fold a piece of paper and cut out half of a shape, like a heart or a star. When they unfold the paper, they will see that both sides of the shape are identical, showing symmetry.

Patterns in Symmetry

After learning about symmetry, let’s discuss patterns. Repetitive designs or combinations are called patterns. These designs appear balanced and well-organized when they adhere to symmetry. Many of the beautiful items and artwork that we encounter at the Surajkund Fair make use of symmetrical designs.

Definition of a Pattern:

A pattern is a repeating arrangement of shapes, colors, or designs. When symmetry is used in patterns, both sides of the design are identical, making the pattern look balanced and attractive.

Examples of Symmetrical Patterns:

• Rangoli: During festivals like Diwali, people make Rangoli outside their homes. These colorful designs are symmetrical, and the patterns repeat themselves, creating beautiful images.
• Clothing Patterns: Many traditional dresses have symmetrical patterns. For example, the design on one side of a dress may be the same as the design on the other side.
• Floor Tiles: If you look at the tiles on the floor of your school or home, you will often see symmetrical patterns that repeat in an orderly way.

Activity: Ask students to create a simple symmetrical pattern using shapes like squares or circles. They can draw half of the design, then fold the paper or use a mirror to see how the other half will look. This will help them understand how patterns are formed using symmetry.

Tiling

We will investigate the third idea, which is tiling. Have you ever observed the floor or wall tiles in a bathroom? Tiling is the process of covering a flat surface with perfectly fitted shapes such as squares, triangles, or hexagons. This idea is applied to design, architecture, and the arts. 

Definition of Tiling

Tiling means covering a surface using shapes in a way that they fit together perfectly, without leaving gaps or overlapping. The shapes repeat themselves in a pattern to fill the entire area.

Examples of Tiling

• Floor Tiles: The most common example is the tiles you see on floors. The square or rectangular tiles are placed next to each other, covering the whole surface without any spaces in between.
• Honeycomb: Have you ever seen a honeycomb made by bees? It is made up of hexagonal (six-sided) cells that fit together perfectly, showing an excellent example of tiling in nature.
• Mosaics: In ancient art, people used small pieces of colored stones or glass to create mosaic patterns. These pieces were placed together in a tiling pattern to make beautiful designs on walls or floors.

Types of Shapes Used in Tiling

• Squares: One of the most common shapes used in tiling. A chessboard is a good example of square tiling, where black and white squares fit together to cover the whole board.
• Triangles: Triangles can also be used to tile a surface. When arranged properly, triangles fit together without leaving any spaces.
• Hexagons: The honeycomb pattern made by bees is an example of hexagonal tiling. Hexagons fit together perfectly, leaving no gaps.

Activity: Ask students to draw a tiling pattern using different shapes like squares, triangles, or hexagons. They can experiment with how the shapes fit together and color them to make the pattern more fun.

Symmetry, Patterns, and Tiling at the Surajkund Fair

The Surajkund Fair is a perfect place to see symmetry, patterns, and tiling in action. Let’s imagine we are walking through the fair, noticing how these math concepts are used in the art and decorations:

1. Symmetry in Paintings: Many of the paintings at the fair have symmetrical designs, like a sun with rays that look the same on both sides.
2. Patterns in Handicrafts: The fabrics and crafts displayed at the fair often have repeating patterns made with symmetrical shapes. You might see a saree or a shawl with beautiful symmetrical patterns of flowers or geometric shapes.
3. Tiling in Pottery: Pottery items at the fair, such as vases or plates, often have tiling patterns painted on them. The tiles form repeating patterns that cover the entire surface of the object.

Activity: Students can draw a design that they imagine might be found at the Surajkund Fair. Encourage them to use symmetry, patterns, and tiling in their drawings to create a beautiful, balanced design.

Conclusion

In this chapter, “The Surajkund Fair,” we have explored the math concepts of symmetry, patterns in symmetry, and tiling. Symmetry helps us create balanced designs, patterns show us how shapes can repeat beautifully, and tiling teaches us how to cover surfaces without gaps.

In conclusion, CBSE Class 3rd Math, Chapter 14 – The Surajkund Fair has introduced us to key mathematical concepts such as symmetry, patterns, and tiling. We’ve learned how these concepts are not just found in textbooks but are brought to life through the vibrant decorations and designs at events like the Surajkund Fair.

Throughout this chapter, The Surajkund Fair has shown how symmetry helps create balanced designs, how patterns are formed by repeating shapes, and how tiling is used to cover surfaces without gaps. These concepts are crucial in understanding the beauty of everyday objects and art.

As you continue to explore The Surajkund Fair, remember to look out for symmetry in nature, patterns in handicrafts, and tiling in the objects around you. With practice, you’ll master these fascinating concepts and see how they apply in the real world. Let The Surajkund Fair inspire you to discover the math hidden in the world around you!

4on symmetrical designs and patterns, and soon you’ll become a master of these fascinating math concepts!