5. Shapes and Designs

Make a Clapper

A paper folded from the middle.

Half of the folded side turned out.

Turned sheet folded inside.

Folding the sheet again from the middle.

Opening the flaps of folded sheet.

Blow out the folded packet to get the sound of "Patak!"

Have Fun with Shapes

Colour the clown following the directions given below:

Triangles A triangle with red written inside.

Squares A square with yellow written inside.

Rectangles A rectangle with blue written inside.

Circles A circle with green written inside.

A clown made up of different shapes.

How many triangles are there in the following figures?

A rhombus shaped figure with triangles.

A hexagon shaped figure with triangles.

A triangle shaped figure with triangles.

Find the biggest rectangle in the figures given below.

A figure with small squares.

A figure with small squares.

A figure with small squares.

A figure with small squares.

Edges and Corners

Meeta and her 5 friends were playing a game. Tinku was blindfolded and asked to keep  clapping as long as he wished while the others would move round a table. The moment Tinkus topped clapping, everybody would stop wherever they were. The child who was not at a corner would be out. Then she/he would be blindfolded.

Five children, starting from the left, Chhotu, Guddu, Bunty, Meeta and Raja are  standing around the table. One child standing separately is blindfolded.

a) Looking at the picture given above, can you tell who is out?

b) Where is Guddu standing?

c) Can this game be played around a round table? Why?

Many things around us have straight edges. For example:

A book with edges labelled.

A chair with edges labelled.

A kite with edges labelled.

Other things have curved edges. For example:

A wheel with curved edge.

A plate with curved edge.

a) Look around you and identify things with straight and curved edges.

b) Do the things with straight edges have corners?

c) Do the things with curved edges have corners?

d) Try to find things which have both straight and curved edges.

Activity Time

1. Take a rectangular sheet of paper.

2. Count its corners.

3. Now fold one of its corners.

Corner folded for a rectangle sheet of paper.

a) How many corners does it have now?

b) How many corners will you get by folding.

i) 2 corners

ii) 3 corners

iii) 4 corners

c) Can you fold this paper in such a way that it has only three corners? You are allowed only two folds. What shape will you get?

4. Repeat the activity with a square sheet of paper.

5. Can you fold all the corners of the square sheet in such a way that the number of corners remains unchanged?

Look at the following table and tick the names of things that have corners. Also count the number of edges and corners in each of them.

Name of thing

Whether it has corners

Number of edges

Number of corners

Die A dice.






Sheet of paper

In the following figures, tick those which have corners. Do these figures have curved lines?

shapes -shapes

Using only straight lines, can you draw a figure which has no corners?


The tangram is an old Chinese puzzle. From the pieces of the tangram, we can make many shapes of animals, people and things.

At the back of the book you will find a square like the one in this figure. Cut it out carefully and cut the pieces. This set of five pieces is called the 5-piece tangram.

5-piece tangram.

Use these five pieces to make the following figures:

Different figures made with pieces of Tangram.

1. How many triangles do you have in your set? Are all of them equal in size? Find out.

2. Use the two small triangles in the tangram set to get the following shapes:

A square.

A triangle.

A slant rectangle.

3. Which two pieces of the tangram set are exactly same?

Find out.

4. Take pieces 4 and 5 from the set and find out on which side of the triangle you can join the other piece.

5. Find matching sides among the following pairs of pieces.

a) Pieces 1 and 2

b) Pieces 2 and 4 (See figure on page 66)

c) Pieces 1 and 5

d) Pieces 2 and 5

The 7–piece tangram

Here is the picture of a seven–piece tangram.

A seven–piece tangram.

You can cut out these pieces and put them together in different ways to make some very interesting shapes.

Try making these shapes.

A shape made with seven–piece tangram.

A shape made with seven–piece tangram.

Now try making the following shapes using only the pieces written here:

i) Use only triangles

A shape made by using only the triangles..

ii) Use pieces 1, 2, 3 and 5

A shape made by using pieces 1, 2, 3 and 5.

iii) Use only two triangles

A shape made by using only two triangles.

iv) Use pieces 1, 2, 3, 4 and 5

A shape made by using pieces 1, 2, 3, 4 and 5.

Weaving Patterns

Golu and Binu went to the market with their aunt. They saw many rugs (durries).

Rugs with different style of geometrical designs.

  • Which geometrical shapes can you identify in these borders? Draw them in your notebook.
  • Is any shape repeating in a particular pattern? Which ones?
  • Are the shapes made of
  1. Curved lines
  2. Straight lines
  3. Both curved and straight lines.
  • Look at your clothes, your mother's saris/shawls, rugs and mats. Can you identify some patterns? Draw them in your

Floor Patterns

Have you ever seen a floor which has designs?

Design made on floor.

Do you know how these designs are made? These designs are made by covering the floor completely with small tiles that fit into each other without any gaps.. For example look at the shape of this tile and see how it fits.

A tile placed horizontally. A tile placed vertically.

Now look at this tile with six sides.

A tile with six sides.

See how tiles of this shape can cover the floor completely without any gaps.

Tiles fixed together to cover the floor completely.

1. Among the following, can you match the tiles with the designs that they will make on the floor? Draw lines to match.

Some tile patterns.

You can also make your own tiles and use them to make your own tiling patterns. You will find some such tiles at the end of the book that you can cut out, trace and colour.

2. Complete the following tiling pattern.

Tile pattern.

3. Complete this pattern. Compare it with the pattern on page 70 which also uses six sided shapes. What is the difference between the two?

An incomplete pattern to be completed.

4. Khushboo and Hariz live in Agra. One day they went to see the Taj Mahal. The floor had the pattern shown below:

Two children discussing about shape of the tiles used to make the pattern.

I can see two different tiles in this pattern.

I think only one type of tile has been used.

What do you think? Discuss with your friends.

Tiling Time

The patterns below are made from this tile.

In this pattern three colours have been used to make it look like steps.

Different coloured tiles used to make it look like steps.

By using two colours it becomes a different pattern of blue and yellow flowers.

Two types of coloured tiles used to make a pattern look like flowers.

Use different colour combinations to make your own patterns.

A tile pattern to be coloured.

A tile pattern to be coloured.

An ant saying," I've seen a mithai (sweet) of this shape."

Have you seen this shape in any other design - on a wall, a dress, on a basket, a mat etc.?

Treasure Hunt

Franke and Juhi's mummy has hidden a surprise gift for both of them. But she wants them to find out through a treasure hunt. She has written some instructions here. Can you help Juhi and Franke in finding their gift?

a) Start from the tallest  tree.

b) Go forward  on the pathway.

c) From the sixth tile, turn left .

d) After moving a few steps again you will find a plant on your right  hand side.

e) Colour the dress of the child playing closest  to this plant.

f) Start moving again  from the plant.

g) On the fourth tile, turn left  again.

h) On the way, you will find the corner  of the fourth tile is broken.

i) You will find a bat and a ball lying on the ground. Don't pick them up, just circle  them.

j) Move ahead and turn right .

k) You will find a mango tree. A few mangoes can be seen on  the tree. Colour 11 mangoes on the tree.

l) Also draw some grass near  the mango tree and start moving again on the pathway.

m) When you go straight , you will find a house.

n) Behind  that house there is a bag. Open it and you will find something sweet in it! Can you tell what their mother has kept in the bag?

A treasure hunt worksheet.

Understanding of space will be facilitated if the treasure hunt worksheet is done in the class. This task will enhance skills of children in identifying positions (up, down, front, behind), distance (near, far), size (tall, small), corners and shapes. It will help if more such treasure hunts are given to children as an activity.