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Tuesday, July 7, 2020

Class 3 Maths Chapter 5 Shapes And Designs (Ch. Practice)

Make a Clapper

Have Fun with Shapes

Colour the clown following the directions given below :

How many triangles are there in the following figures?

Find the biggest rectangle in the figures given below.

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 Tinku stopped clapping, everybody would stop wherever they were. The child who was not at a corner would be out. Then she would be blindfolded.

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


  • Where is Guddu standing?


  • Can this game be played around a round table? Why?


Many things around us have straight edges. For example:

Other things have curved edges. For example:

  • Look around you and identify things with straight and curved edges.



  • Do the things with straight edges have corners?



  • Do the things with curved edges have corners?



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

ACTIVITY TIME
  • Take a rectangular sheet of paper.

  • Count its corners.

  • Now fold one of its corners.

    • How many corners does it have now?

    • How many corners will you get by folding

      • 2 corners

      • 3 corners

      • 4 corners

    • 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?

  • Repeat the activity with a square sheet of paper.

  • 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 (v ) the names of things that have corners. Also count the number of edges and corners in each of them.

Name of thingWhether it has cornersNumber of edgesNumber of corners
Die
Yes
8
Ball
Eraser
Egg
Sheet of paper

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

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

Tangram

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.

Use these five pieces to make the following figures:

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

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

  • Which two pieces of the tangram set are exactly same? Find out.

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

  • Find matching sides among the following pairs of pieces.

    • Pieces 1 and 2

    • Pieces 2 and 4

    • Pieces 1 and 5

    • Pieces 2 and 5

The 7–piece tangram

Here is the picture of 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.

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

  • Use only triangles

  • Use pieces 1, 2, 3 and 5

  • Use only two triangles

  • Use pieces 1, 2, 3, 4 and 5

Weaving Patterns

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

  • 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 (i) Curved lines (ii) Straight lines (iii) 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 notebook.

Floor Patterns

Have you ever seen a floor which has designs?

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.

Now look at this tile with six sides.

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

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

  • 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.

  • Complete the following tiling pattern.

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

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

What do you think? Discuss with your friends.

Tiling Time

The patterns below are made from this tiles

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

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

Use different colour combinations to make your own patterns.

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?

  • Start from the tallest tree.

  • Go forward on the pathway.

  • From the sixth tile, turn left.

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

  • Colour the dress of the child playing closest to this plant.

  • Start moving again from the plant.

  • On the fourth tile, turn left again.

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

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

  • Move ahead and turn right.

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

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

  • When you go straight, you will find a house.

  • 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?

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.


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Class 3 Maths Chapter - 4 Long And Short (Ch. Practice)

Lali is selling things at her father's shop. A farmer comes to buy rope.

So, the farmer measures his arm with the rope and Lali gives him 7 times that much rope. Measure your arm and your mother's arm. What is the difference?

Children should be encouraged to look around and see how lengths of different things are measured in different ways using local or non-standard units. For example, rope, garlands or cloth may be sold by the cubit, handspan, fingers, etc. They also need to do activities of measuring lengths (and distances) with their own body parts.

How Many?

  • In how many steps will Dorji cross the road?

  • How many cups can be placed in a line on this table?

  • How many pots can be placed to reach the tree branch?

  • How many shirts can be hung on this wire?

How Much is a Centimetre (cm)?

The matchstick is 4 centimetres long.

The die is 1 centimetre from every side.

The lizard is 13 centimetres long.

The leaf is centimetres long.

The wax colour is  centimetres long.

Now, look at a scale that you find in a geometry box. How many centimetres does it have? 

.

The small scale that you mostly use in school is like this one.

Is it easier to start measuring from the 0 mark? Look at the things drawn near the scale and find out their lengths.


  • What are the little lines on the scale used for?

  • Look for things that are

    • About 10 centimetres long

    • Between 10 and 20 centimetres long

    • Less than 1 cm long.

  • Draw some of them here.

How Big is My Hand?

Measure the length of your thumb and your little finger. Use the scale on this page. Which is longer? Thumb or little finger? Bring a measuring-tape to your class.

Guess the length of different parts of your body and check if your guess is correct. You can use a scale, string, measuring tape etc.

THINK

How will you know the number of centimeters if you measure with a rope, shoe-string, thread etc.?

My Measurements

My Friend's Measurements

Nose

______centimeters

______centimeters

Around the wrist

______centimeters

______centimeters

Around the head

______centimeters

______centimeters

ear

______centimeters

______centimeters

Hand(tip of middle finger to wrist)

______centimeters

______centimeters

Compare your measurement with your friends'.

  • Who has the biggest head and who has the smallest head?----------,-----------

  • Who has the longest hand (from middle finger to wrist)?----------

  • Is any of your nails more than 1 centimetre long?--------.

Gibli and the Grains

Ant Gibli has to reach the grains. She is looking for the shortest road. Can you tell her which is the shortest?

Can you draw a road shorter than these? What is the length of that road?----------

It is more important for children to be able to get an estimate of a meter as related to known centimeters, etc. Children at this stage may not be able to perceive of bigger units such as a kilometer. They must be encouraged to speak of a kilometer in the context of a story or narrative. The Map of Agra is an exercise with a narrative involving children, with familiar images (icons) to help the initial understanding of mapping in 2 dimensions.

How Long is a Metre?

A meter is equal to 100 centimeters.

Let Us Make a Metre-rope

You must have seen shopkeepers measuring cloth with a metre rod.


  • Use a meter rod and a rope.

  • Make a knot at one end of the rope.

  • Keep the meter rod with the rope.

  • Mark 1 meter on the rope and make a knot there.

  • Now the length between the two knots is 1 meter. This is your meter-rope.

If you don't get a meter rod use a measuring-tape and mark 100 centimeters on the rope. 100 centimeters are equal to a meter, so you get the meter-rope.

Guess and check

Activity1
  • Find some things that look 1 meter long.

  • Use your meter-rope to find which of these things are more or less than 1 meter.

  • Name of the thing

    More than 1 meter

    Less than 1 meter

    Length of table

    -

    -

    Width of table

    -

    -

    Width of door

    -

    -

    Length of door

    -

    -

    -

    -

    -

    -

    -

    -

Activity2

Some Class III children have marked a 1 meter height on the wall of their class.
You can also mark 1 meter on your class wall.

Now make a chart of the heights of your friends.
To measure the centimeters, you can use your small scale.

Name

Taller/Shorter/Equal to 1 meter

How many centimeters more or less than a meter

Shambhu

taller

4 centimeters

___

___

___

___

___

___

___

___

___

___

___

___

Centimeters or Meters?

Which of these will be in centimeters and which will be in meters?

  • Width of a computer screen

  • Length of a Pagdi worn by Sikhs

  • Height of a 1-year old child

  • Length of a banana

  • Waist of an elephant

  • Height of a sugarcane

  • Depth of a well

  • Height of your mother

  • Distance from school to home

  • Length of your father's arm.

Trip to Agra

Marie and Baichung are going with their family to Agra. They get down at Agra Cantt. Railway Station and take a rickshaw to Taj Mahal. After 3 hours, they start for Agra Fort, again in a rickshaw. In the afternoon they take a bus to go to Fatehpur Sikri.

Now look at the distances between these places (for kilometers we write km).

  • Agra Cantt. Railway Station to Taj Mahal – 5 km

  • Taj Mahal to Agra Fort – 2 km

  • Agra Fort to Fatehpur Sikri – 40 km

Now find from the map

  • Which is farther from Agra Cantt. Railway Station — Taj Mahal or Fatehpur Sikri? 

shows the railway line

Which of these is nearer to the railway line:

  • Babarpur forest or Taj forest?

  • Agra Fort or Taj Mahal?

Which is closer to the river Yamuna:

  • Taj Mahal or the Railway Station?

Match the Correct Length

2 kilometers

5 meters

10 centimeters

1 centimeter

1 meter

The Long Tail Competition

The animals in this picture had a competition. The animal who had the longest tail won a prize. Now who do you think won the first prize and who won the second....? Just guess the length of the longest tail.


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