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Chapter 14

Data Handling

0433CH14
students conversation1
I like Mathematics and Arts very much.

I like Languages very much. I enjoy listening to and reading stories.

I really enjoy reading about the environment and like to play different sports.

students conversation2
Let’s find out from our class which subject they like the most.

Let us make a question to ask the class.

Look at the questions asked by Rohan and Anjali.

Tick the question that is the most appropriate for finding the ‘most liked subject’? Why do you think so? Discuss with your friends and teacher.

Rohan
Which subjects do you like?

I like Languages very much. I enjoy listening to and reading stories.

Mathematics, Languages, Arts

Physical Education, Mathematics, The World Around Us

Arts, Languages

The World Around Us, Mathematics, Languages, Arts

Languages, The World Around Us, Physical Education

Anjali
Which subjects do you like the most?

Mathematics

Languages

Arts

Mathematics

Languages

Physical Education

The World Around Us

Anjali and Rohan recorded the children's answers (responses) to the above question as follows:

They wrote M for Mathematics, L for Languages, T for The World Around Us, A for Arts and P.E. for Physical Education.

rohan says
I have recorded 45 children’s responses.

exam board

anjali says

Yes! There are a total 45 children in our grade.

Look at the children’s responses above and answer the following questions:

● The number of children who like Mathematics the most is ________ .
● The number of children who like Language the most is ________ .
● The number of children who like The World Around Us the most is ________ .
● The number of children who like Physical Eduation the most is ________ .
● The number of children who like Arts the most is ________ .

Let’s fill the above information in this table.

Subjects No. of Children
Mathematics (M) _______________
Languages (L) _______________
The World Around Us (T) _______________
Physical Education (P.E.) _______________
Arts (A) _______________

Now look at the above table and answer the following questions:

● What is the most common favourite subject among the children? ________________

● What is the least common favourite subject among the children? ________________

There are the following two ways to display the information.

1)

exam board2

2)
Subjects No. of Children
Mathematics (M) _______________
Languages (L) _______________
The World Around Us (T) _______________
Physical Education (P.E.) _______________
Arts (A) _______________

Which way of displaying information is easier to understand and why? __________

Note for Teachers: Discuss how a question needs to be framed and what words should be used.

Colourful Golas

Raju Ice Gola

During school lunch break children rush to eat gola of their favourite colour.

Rohan and Anjali record the golas eaten by different children. They want to eat the one that is most eaten by others.

They both start recording the golas eaten by the children.

Rohan Anjali
Rohan's icecream Anjali's icecream

Look at the information given above. Colour the line drawing of the golas appropriately.

1. Which colour ice gola do the children eat:

a) the most

colorless_icecream

b) the least

colorless_icecream

How do you know?

2. Which colour gola would Anjali and Rohan have bought?

colorless_icecream

3. Which colour golas did boys eat the most?

colorless_icecream

4. Which colour golas did girls eat the most?

colorless_icecream

5. Which of the ways of representing data did you use to answer these questions and why?

Activity — Chess or Cricket

Find out from your classmates how many of them play only chess, only cricket, both or neither.

empty_violet_box

Now let us organise the above data in the table.

Nature of Games No. of Girls No. of Boys
Chess but not Cricket
Cricket but not Chess
Both
Neither

Answer these questions based on the data collected from your grade.

1. Who plays Chess the most? _______ (Boys/Girls)

2. Who plays Cricket the most? _______ (Boys/Girls)

3. How many children play both types of games? _______

Bal Mela

Bal Mela

Anjali and Rohan have recorded the number of people who ate fruit chaats and sandwiches in the Bal Mela over three days, using a Pictograph.

Anjali: Fruit Chaat
Days Total Fruit Chaats
Days 1 fruit chaat1
Days 2 fruit chaat2
Days 3 fruit chaat3

Rohan: Sandwiches
Days Total Sandwiches
Days 1 sandwiches
Days 2 sandwiches2
Days 3 sandwiches3
Let Us Do
1. Complete the table.

Items Total Sold Item
Fruit Chaats
Sandwiches

2. On which day were the most sandwiches sold?

3. Which item had the highest sale on Day 2?

4. Complete the table given below. Circle the day that had the highest sales.

Day Total Sales
Day 1
Day 2
Day 3

2D Shapes

Note: Use the shapes given below in Chapter 1

2D shapes

Dienes Blocks

Dienes Blocks

Note: Make more Dienes blocks if needed

Nets of a Triangular Prism and Rectangular Prism / Cuboid

Note: Cut along the dotted lines and fold along the dark lines.

triangular prism
Triangular Prism

rectangular prism
Rectangular Prism / Cuboid

Nets of a Triangular Pyramid and Hexagonal Prism

Note: Cut along the dotted lines and fold along the dark lines.

triangular pyramid
Triangular Pyramid

hexagonal_prism
Hexagonal Prism

Nets of a Square Pyramid and Pentagonal Pyramid

Note: Cut along the dotted lines and fold along the dark lines.

square_pyramid
Square Pyramid

pentagonal_pyramid
Pentagonal Pyramid

Arrow Cards

arrow cards

Fraction Kit

fraction kit

Cm Scale

cm scale

Number Tokens

number tokens

Note for Teachers

Box diagrams help students decode word problems as well as find strategies to solve them. The following examples are typical of all word problems in addition and subtraction. The operation that needs to be carried out can be decided depending on which boxes are filled in any problem. The three types of problems are combine, compare and change. Each problem can be represented using a slightly different box diagram so that one can capture the problem fully.

Example 1: Combine: Involves two different sets/collections. For example, there are 343 children in the Preparatory Stage and 532 in the Middle Stage in a school. How many total children are there in these two stages?

343 + 532 = ?

343+532

Example 2: Change: Involves change in an existing set/quantity. For example, I have 445 in my piggy bank. After three months, I ended up with 800 in the bank. How much has the amount in my bank increased in three months?

445 + ? = 800
800 – 445 = ?

445_800

Example 3: Change: There are some potatoes in Sohan’s shop. He bought 150 kg more and now has 500 kg of fresh and old potatoes. How many kg of potatoes did he have initially?

? + 150 = 500
500 – 150 = ?

+150_500

Example 4: Compare: Involves comparing two quantities. For example, Anu is 6 years older than her sister Mini. Anu is 8 years old now. How old is Mini?

8 = ? + 6

8 yrs_6yrs


Note