Table of Contents

QR Code Chapter 5

5. Does it Look the Same?

Let’s Make Patterns From a Drop of Colour

I have made these patterns from a drop of colour! You can make them too.

A girl holding two sheets, one in each hand, on each sheet, there is a design drawn from a drop of color.

Make your pattern

A girl holding a sheet of paper.

Take a sheet of paper

The girl folding the sheet into half.

Fold it into half

The girl has opened the sheet and put a drop of color in the middle line.

Open the fold and put a drop of colour on the middle line

The girl folding the paper two times, then pressing it.

Fold it twice and press it to spread the colour

There is a beautiful design on the paper once the girl opens the paper.

Open it and see a beautiful pattern

Can you cut this pattern in such a way that you get two similar mirror halves? In how many ways can you do it?

Look at this pattern.

Two girls holding a pattern in their hands.

The dotted line divides the shape into two halves. But if you fold it along the dotted line, the left half does not cover the right half completely. So the two halves are not mirror halves.

Now look at another shape.

If you fold it along the dotted line, one half will cover the other similar half completely. So the two here are mirror halves.

A boy is holding a triangle and folding it into half.

Now imagine the same for these pictures.

A girl is holding a bag on which there is a design.

A girl is swimming in water holding a big star.

On the next page, children need to understand that even though the shape is symmetric, the colour scheme of the figure can make it asymmetric (e.g. in shapes 10 and 12). Encourage children to look for asymmetry based on the shape as well as the colour scheme.

* Which shapes are divided into two mirror halves by the dotted line?

Various shapes are seen like a circle, star, triangle, square and rectangle. Also there is a butterfly, some fish , a tree, a signboard.

Mirror Games

1. Here is a picture of a dog. You can place a mirror on the dotted line. Then the part of the dog to the right of the line will be hidden behind the mirror. What you will see is like (a).

A dog made by square and rectangular strips and the mirror image of its one part.

Look at the figure in the white box. On which of the dotted lines will you keep the mirror so that you get shape (b)? Also tell which part of the picture will be hidden when we keep the mirror on the dotted line.

A dog made by square and rectangular strips and some circles.

Now make a line on the white box to show where you will keep the Mirror Games mirror to get the picture next to it.

A dog made by square and rectangular strips.

A dog made by square and rectangular strips.

A part of the dog made by square and rectangular strips.

A part of the dog made by square and rectangular strips.

A part of the dog made by square and rectangular strips.

A part of the dog made by square and rectangular strips.

A dog made by square and rectangular strips.

A dog made by square and rectangular strips.

2. Venky has made a red and white shape. Make a line on the white box where you will keep a mirror to get that shape. Look at how the line is drawn in the first box to get the picture next to it.

(a)

Two shapes formed from narrow boxes.

One shape formed from narrow boxes.

(b)

Two shapes formed from narrow boxes.

(c)

Two shapes formed from narrow boxes.

(d)

Two shapes formed from narrow boxes.

(e)

Two shapes formed from narrow boxes.

Encourage children to look at the final picture in each pair and guess where the line of symmetry should be made on the original shape in the white box.

Half a Turn

Once there was a king. He was upset because thieves kept stealing costly jewels from his locker. Here is what the locker looked like:

Four thieves trying to open the lock of a cupboard.

The locker could be opened by giving its handle half a turn. Another half turn and the locker would be locked again.

The king would often leave the locker open thinking it was locked. Can you guess the reason?

Open door of the cupboard, the king and the locked door of the cupboard.

One day his clever daughter gave him an idea which he liked very much.

Now he never got confused.

Can you guess what the idea was?

The king's daughter asked the king to put a dot on one of the yellow blades.

The king and his daughter are standing near the cupboard. Once the door is open, then it is locked. There is a black dot on its door.

The king had many such lockers with different handles. Check if, on giving them half a turn, he can get confused with these too.

Four different handles of the king's cupboards with different shapes on them.

What will you do to solve the problem for each of these?

Same after 1/2 turn?

Guess which of the shapes below would look the same after half a turn.

A girl is standing straight with hands up and then there are different shapes like a square, rectangle, circle, triangle and two more closed figures and then a girl is standing upside down.

The focus of the exercise following the story (on the next page) is to (i) break the symmetry of the figures. (ii) recreate the symmetry in the same figure.

Do you find it difficult to tell? If yes, then there is a way to check your guess. Here s how you can do it.

Take any of the shapes. Trace its outline on a sheet of paper.

Now keep the shape on its outline and give it a half turn. See if the shape fits its outline.

A girl is holding a rectangle shape and a sheet of paper.

The girl has traced the boundary of the rectangle on the sheet of paper.

The girl has turned the rectangle.

Practice time

1) Find out which letters in the English alphabet look the same after half a turn.

2) Which of these English words reads the same on half a turn?

ZOOM, MOW, SWIMS, SIS, NOON

3) Give half a turn to the numbers from 0 to 9. Find which of them still looks the same.

4) Think of all 2, 3 and 4 digit numbers which look the same on half a turn.

Example

2 digit numbers 11, _____ _____

3 digit numbers 101, 111, _____, _____, _____, _____, _____, _____

4 digit numbers 1001, 1111, _____, _____, _____, _____, _____

5) Which among the following pictures will look the same on half a turn?

A flower shaped pattern.

A stick drawing of a person sitting on a wheelchair.

A plus sign inside a circle.

Letter P written in a square like figure.

A broad V shaped pattern made inside a circle.

A flower shaped pattern.

A pattern formed by joining three arrows in a triangle shape.

A pattern formed by joining a circle, two triangles and some arcs.

Activity Time

Have you ever seen a windmill? What is it used for?

Let us make a toy windmill.

1. Take a sheet of paper.

2. Fold it as shown in the picture.

A rectangular sheet of paper is folded in a way that there isa triangle on the top and a rectangle at the bottom.

3. Cut out the blue part of the paper. Your sheet of paper will now look like a square.

A square piece of paper.

4. Fold it along the red lines and then open the fold. Draw a circle on the sheet as shown in the picture.

5. Cut along the red lines till you reach the circle.

The paper will look like this.

6. Take a pin and make holes on the four corners as shown in the picture.

7. Now fold the corners such that all the holes lie one on top of the other.

8. Pass the pin through the holes and fix it in the stick.

Your windmill is ready. Run with it and see how fast it moves.

* Does your windmill look the same on 1/4  of a turn?

* Does it look the same on ha.0lf a turn? Discuss.

One-fourth Turn

Does the fan look the same on 1/4 turn?

A fan with four blades

Before turning it

A fan with four blades

After 1/4  turn

Will this fan also look the same after 1/4  turn? Draw in the yellow box.

A fan with four blades

Before turning it

A square

After 1/4  turn

Practice time

A) * Among the following shapes, find out which ones would look the same after turn. Put a (right).

* Put a (wrong) on the shapes that will not look the same after half a turn.

A girl pointing on a board on which three triangles are drawn, one inside the other.

A hut with a rectangular window. On the window, there is a pattern formed by four sided figures.

A girl showing a bus with different shapes drawn on it, circles, squares, triangles.

B) Try and change the shapes i such a way that the new shape remains the same on giving it half a turn.

Different shapes formed by joining circles, triangles, squares, arcs.

C) Draw what the following shapes would look like on 1/4  turn and half a turn.

 

On 1/4  turn

On half turn

a)

A triangle

 

 

b)

A A square

 

 

c)

A A rectangle

 

 

d)

A six sided closed figure.

 

 

Which of the above shapes do not look the same on 1/4  turn? Which shapes do not look the same on a 1/2 turn?

* Which fan will look the same on a 1/3  turn?

a)

A fan with three blades.

b)

A fan with three blades.

* Draw this shape after 1/3 turn.

A triangle inside an inverted triangle.

A rectangle.

Shape after 1/3 turn

One-sixthTurn

Can you see that this shape looks the same on turn?

A girl and a boy looking at three different shapes. The first is a pair of stars, the second is a closed figure bounded by six sides and a flower at the center and the last is a cross cut by a line horizontally from the middle.

Practice Time

1. Look at the following shapes. Draw how they will look on 1/3 and 1/6  turn.

 

1/3 turn

1/6 turn

A triangle inside a star.

 

 

A A flower with six petals inside a circle.aA flower

 

 

A star formed by two triangles.

 

 

Three intersecting circles.

 

 

Encourage children to look at the figure and see what kind of a symmetry there . If they need they can draw six lines to see how to rotate a figure through turn. They should also be able to see that a figure which looks the same on turn will also look the same on turn (which is the same as two turns).

2. Look at the following shapes —

a) Find out which of these figures look the same on turn. Mark them with (Right).

b) Which are the ones that will not look the same after turn? Mark them with (wrong).

A girl sitting on a square box, on which three circles are drawn with the same center and there is a narrow rectangular strip kept vertically near the box with a design on it.

Three intersecting circles.

Six human hand shaped figures arranged in the form of a circle.

Inside a circle, there is a closed shape formed by five sides and there is a big dot inside this shape.

A triangle inside a triangle.

An inverted triangle inside a triangle.

Inside a circle, there are dots and some shapes looking like flying birds.

c) Try and change the shapes below in such a way that they look the same on 1/3 turn.

There is a dot inside a circle and outside it, there are few round arcs and some small circles.

A girl holding a book on which, there is a flower formed by small circles.

There is a circle and on all its sides, some arcs are drawn. It is looking like a moving fan.

There is an inverted triangle, over it, another triangle is kept straight and there is a small circle drawn on the second triangle.

There is a circle, inside which there is another small circle and covering the entire boundary of the outer circle is a pattern made by four sided closed figures.

3. Draw some shapes which will look the same after 1/3  turn.

4. Draw some shapes which will look the same after 1/6  turn.