10. Play with Patterns

QR Code.

Tinu used this block A block print.   to make a sari.

Block print used to make a sari.

Next he made this bedsheet with the same block.

Block print used to make a bedsheet.

He also made this dupatta with the same block.

Block print used to make a Dupatta.

Can you see how Tinu has made different patterns using the same block? Now you too make 3 different patterns using Block print.  .

Pattern 1

Space to draw pattern 1.

Pattern 2

Space to draw pattern 2.

Space to draw pattern 3.

Pattern 3

Yamini has used her blocks to make a few patterns. Help her to take these patterns forward.

A pattern with 1 leaf in first box , then 2 leaves, 3 leaves in third and then 4 leaves in fourth box.

A pattern with two arrows facing up in first box .Second box has two arrows facing down followed by three arrows facing up in third box and then three arrows facing down in fourth box.

A circle divided in 4 parts. First box has top right part of the circle coloured. Second box has bottom right part coloured and third box has bottom left part of the circle coloured.

We can also make patterns with numbers and letters. Below are a few examples. Can you take them forward?

Patterns made with numbers and letters.

Now write your own number patterns.

Space to write patterns.

Make a pattern without numbers.

Space to make pattern without numbers.

No Number Comes Twice

Look at the number box. Can you see a pattern?










A girl talking about the pattern.
No number comes twice in any line!

Now you try writing the letters — A, B, C in the box so that no letter comes twice in any line.

A 3*3 grid.

We have not used the terms row or column here, but using the word 'line' teachers may discuss the idea of rows and columns.

Magic Patterns

Look at the pattern of numbers 1 to 7. See how each line adds up to 12!

Pattern with numbers written in stars on crossing lines.

Now you fill these stars. Use numbers 1 – 9 and the rule that the numbers on each line add up to 15.

Stars arranged in three rows and three columns.

Magic Triangles

Look at this number pattern .

Rule: Numbers on each side of the triangle add up to 9.

A triangle shaped pattern with numbers written in circles on the sides of triangle.

See if the other sides of the triangle also add up to 9.

3 + 4 + 2 = 9

Three circles with numbers 3,4 and 2 adding up to 9.

Now use numbers 1 - 6 to make your own magic triangle.

Rule: Numbers on each side must add up to 10.

Triangle shaped figure to make pattern.

Number Towers

Numbers can be arranged as a tower. We start from below and get this number pattern.

Pattern in the shape of tower. Starting from last row, numbers 10,20, 30 are written. In second row, numbers 30 and 50 are there and in first row 80 is written.

Can you see the rule for this pattern?

Rule: We add 2 numbers below to get the number in the box

above them.

Pattern in the shape of tower. Starting from last row, numbers 10,20, 30 are written. In second row, numbers 30 and 50 are there and in first row 80 is written.   

20 + 30 = 50

Pattern in the shape of tower. Starting from last row, numbers 10,20, 30 are written. In second row, numbers 30 and 50 are there and in first row 80 is written.

30 + 50 = 80

Using the same rule, complete these number towers.

Pattern in the shape of tower. Starting from last row, numbers 5,10, 15, 20 are written. In second last row, middle circle has 25 written in it.   

Pattern in the shape of tower. Last row has numbers 1,2,3,4 and 5 are written.

The Same Sum Rule

Some friends are playing with number cards. See how they add.

First from left   Some kids holding number cards 11,12,13,14,15 and 16.   First from right

Adding up the numbers.

11 + 16 = 27

12 + 15 = 27

13 + 14 = 27

Can you see the rule which gives us the same sum each time?

Rule: We get the same sum when we add the two numbers —

First from left and First from right

Second from left and Second from right

Third from left and Third from right

Now you write any number and the three numbers after that. Make a pattern using the rule.

Empty space.

Space to solve question.
+ =
+ =

See if you get the same sum.

Patterns with Addition

Patterns with numbers written.

1 + 2 + 3 = 6

2 + 3 + 4 = 9

3 + 4 + 5 = 12

A girl.
Oh! The sum grows by 3 each time.

A boy.
Here, the sum grows by 4 each time.

Patterns with numbers written.

1 + 2 + 3 + 4 = 10

2 + 3 + 4 + 5 = 14

3 + 4 + 5 + 6 = 18

Now, you try to make such a pattern with 5 numbers in order.

Space to write numbers.

Does the sum grow by 5 each time?

Secret Messages

Two children sharing secret messages.

What are you doing?

I am trying to read the note my friend gave me ..... but I cannot understand it.

OK, let me see. It looks like a secret message.

7 15 15 4

14 9 7 8 20

Yamini explained the rule—Numbers have been used for letters.

For example, 'J' is 10, 'P' is 16. So JUMP is 10 21 13 16.

  • Complete this list of letters and numbers to help you.

List of letters and numbers written in pattern form.

1 2 3 4 5

  • Teenu wants to write to his friend 'Good Morning'.

What will he write by using the same rule?

Space to write.

  • If we change the rule and write 1 in place of 'B', 3 in place of 'D' and so on, then how will we write 'Let Us Dance'?

Space to write.

Coding and decoding secret messages is also a part of recognising patterns. Recognising rules is important for the development of mathematical thinking.

More Secret Messages

Some children sharing secret messages.

Shablu and Jaggu are playing a game. They are writing some secret messages. But Kahuli is not able to understand them. So Jaggu explained the rule —

Jaggu – You see, we have changed each letter by its next letter. Thatis, we write'G' in place of'F', 'O' in place of 'N'. So YES becomes ZFT.

Kahuli – Oh! Now I understand.

Kahuli -    See what I have written X F BSF GSJFOE T

What was Kahuli's secret message?

  • What did Shablu and Jaggu write?

  • Use the same rule to write — 'Meet me on the moon'.

  • Make different rules and ask your friends to crack the secret message.

Upside Down

Anisha is playing. She is showing her friends that she can stand on her head.

A girl standing straight and then standing on her head.

Now, Anisha is playing with this card. Draw what it will look like when upside down.

A card put straight and then space is given to draw it in opposite direction.

Floor Patterns

Have you ever seen a floor with tiles of these shapes?

Tiles of different shapes used to make floor.

These designs are made by covering the floor completely with tiles that fit into each other without any gaps.

  1. Now, you cover this floor with this tile.

Tiles used to cover the floor.

Can you make such a floor design with a tile like a circle?

  1. Try with this green tile without leaving a gap. Could you do it? Discuss with your friends.

Circular tiles used for covering the floor.

  1. Complete this tiling pattern.

A tiling pattern.

  1. Ramaiya has made a wall with his blocks. Can you complete this for him?

An incomplete pattern of blocks on a wall.

  1. Renu began to paint this wall. Now you help her to complete it.

A wall with incomplete paint.