Imagine_Maths_CB_Grade1_E-Book_With_TOC by Uolo

Imagine Mathematics seamlessly bridges the gap between abstract mathematics and realworld relevance, offering engaging narratives, examples and illustrations that inspire young minds to explore the beauty and power of mathematical thinking. Aligned with the NEP 2020, this book is tailored to make mathematics anxiety-free, encouraging learners to envision mathematical concepts rather than memorize them. The ultimate objective is to cultivate in learners a lifelong appreciation for this vital discipline.

Imagine Mathematics

About This Book

MATHEMATICS

Key Features • Let’s Recall: Helps to revisit students’ prior knowledge to facilitate learning the new chapter • Real Life Connect: Introduces a new concept by relating it to day-to-day life • Examples: Provides the complete solution in a step-by-step manner • Do It Together: Guides learners to solve a problem by giving clues and hints • Think and Tell: Probing questions to stimulate Higher Order Thinking Skills (HOTS) • Error Alert: A simple tip off to help avoid misconceptions and common mistakes • Remember: Key points for easy recollection • Did You Know? Interesting facts related to the application of concept • Math Lab: Fun cross-curricular activities • QR Codes: Digital integration through the app to promote self-learning and practice

About Uolo Uolo partners with K-12 schools to provide technology-based learning programs. We believe pedagogy and technology must come together to deliver scalable learning experiences that generate measurable outcomes. Uolo is trusted by over 10,000 schools across India, South East Asia, and the Middle East.

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NEP 2020 based

NCF compliant

CBSE aligned

13/10/23 7:54 PM

MATHEMATICS Master Mathematical Thinking

Grade 1

Fo re wo rd

Mathematics is not just another subject. It is an integral part of our lives. It shapes the very foundation of our understanding, personality and interaction with the world around us. However, due to the subject’s abstract nature, the stress of achieving high academic scores and complex teaching methods, most children develop a fear of mathematics from an early age. This fear not only hinders their mathematical thinking, logical reasoning and general problem solving abilities, but also negatively impacts their performance in other academic subjects. This creates a learning gap which widens over the years. The NEP 2020 has distinctly recognised the value of mathematical thinking among young learners and the significance of fostering love for this subject by making its learning engaging and entertaining. Approaching maths with patience and relatable real-world examples can help nurture an inspiring relationship with the subject. It is in this spirit that Uolo has introduced the Imagine Mathematics product for elementary grades (1 to 8). This product’s key objective is to eliminate the fear of mathematics by making learning exciting, relatable and meaningful for children. This is achieved by making a clear connection between mathematical concepts and examples from daily life. This opens avenues for children to connect with and explore maths in pleasant, relatable, creative and fun ways. This product, as recommended by the NEP 2020 and the recent NCF draft, gives paramount importance to the development of computational and mathematical thinking, logical reasoning, problem solving and mathematical communication, with the help of carefully curated content and learning activities. Imagine Mathematics strongly positions itself on the curricular and pedagogical approach of the Gradual Release of Responsibility (GRR), which has been highly recommended by the NEP 2020, the latest NCF Draft and other international educational policies. In this approach, while learning any new mathematical concept, learners first receive sufficient modelling, and then are supported to solve problems in a guided manner before eventually taking complete control of the learning and application of the concept on their own. In addition, the book is technologically empowered and works in sync with a parallel digital world which contains immersive gamified experiences, video solutions and practice exercises among other things. Interactive exercises on the digital platform make learning experiential and help in concrete visualisation of abstract mathematical concepts. In Imagine Mathematics, we are striving to make high quality maths learning available for all children across the country. The product maximizes the opportunities for self-learning while minimising the need for paid external interventions, like after-school or private tutorial classes. The book adapts some of the most-acclaimed, learner-friendly pedagogical strategies. Each concept in every chapter is introduced with the help of real-life situations and integrated with children’s experiences, making learning flow seamlessly from abstract to concrete. Clear explanations and simple steps are provided to solve problems in each concept. Interesting facts, error alerts and enjoyable activities are smartly sprinkled throughout the content to break the monotony and make learning holistic. Most importantly, concepts are not presented in a disconnected fashion, but are interlinked and interwoven in a sophisticated manner across strands and grades to make learning scaffolded, comprehensive and meaningful. As we know, no single content book can resolve all learning challenges, and human intervention and support tools are required to ensure its success. Thus, Imagine Mathematics not only offers the content books, but also comes with teacher manuals that guide the pedagogical transactions that happen in the classroom; and a vast parallel digital world with lots of exciting materials for learning, practice and assessment. In a nutshell, Imagine Mathematics is a comprehensive and unique learning experience for children. On this note, we welcome you to the wonderful world of Imagine Mathematics. In the pages that follow, we will embark on a thrilling journey to discover wonderful secrets of mathematics—numbers, operations, geometry and measurements, data and probability, patterns and symmetry, algebra and so on and so forth. Wishing all the learners, teachers and parents lots of fun-filled learning as you embark upon this exciting journey with Uolo. ii

We know that numbers are basic units of mathematics and are used for counting, measuring and comparing quantities. We have also previously learned that each digit in a number has a value, which we call the place value. Let us take a 2-digit number as an example! The digit on the left is at ten’s place while the digit on the right is at one’s place.

K ey El ements o f a C h apt e r— a Q u i c k G lanc e

Similarly, in the number 2548, 5 represents 5 hundreds, or 500. However, in the number 56, 5 represents 5 tens, or 50. Therefore, even if a digit is same, its value always depends on where it is in the number. Th

4 Tens

8 Ones

2 Thousands 5 Hundreds

Let's Warm-up

Introductory page with a ind the ﬁrst

multiples of . Chec __________ by di iding if 1 32 ays is always fun!quick You first decide on a place to visit, warm-up 2 548 you want__________ 1 2 what you can do there, and then finally make arrangements. 3 876 __________ Do It Together

Concept

Write the correct place value of the coloured numbers.

4 4563 o Ooty. The train departs every second day. 5

Understanding Multiplication

introduction are multiples of .

and

Sanju struggles to find how many words will he learn in whole January. 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 +2 + 2 + 2 + 2……… This is too much! Sanju gets confused and asks his father to help.

__________

4 5 6 7Sunday 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Saturday

21 question 22

6 × 2 = ____

6 × ____ = ____

6 × ____ = 24

Multiplication by 1-digit Number We know that the number obtained from multiplication is the product.

TTh

Thinkofand Tell I scored out12,344 of 5. + 1115 = _____________. The first five multiples 6 are 6, ____, ____, 24, ____._________ So, 17 What do you think do

even number?

Find the factors of 36 using the division method. Divide numbers by 36

What do we get?

Check the remainder

Are the numbers factors of 36?

36 ÷ 3

____

=31 ×

multiplicand

TTh

multiplier

= 62

On multiplying a number by 1, the product is always the number itself.

On multiplying a number by 0, the product is always zero.

product

We can find the product of two numbers by placing them horizontally next to each other. Let us multiply 123 and 3.

hat do we now

We can multiply two numbers in any order. The product always remains the same.

Horizontal Method

Step 1

Step 2

Step 3

Multiply by ones.

Multiply by tens.

Multiply by hundreds.

Multiply 3 and 3 ones.

Multiply 3 and 2 tens.

123 × 3 = 369

Did You Know?

123 × 3 = __ __9

= __69 Rinne Tsujikubo123 of× 3Japan broke The productthe of 123 and 3 is 369.world record for Guinness fastest mental arithmetic on Chapter 3 • Multiplication January 17, 2023 by correctly adding 15 sets of three-digit numbers in 1.62 seconds.

Let us start finding the total number of books step by step.

n the following dates - 2, 4, 6, 8, 10, 12, 14, 16 and so on. 6 92

ultiples

n the school library there are ﬁction 9/11/2023 4:24:58 PM boo s and non ﬁction boo s. ow many books are there in total?

Are the multiples of an even number always an

Do It Together

to the concept

Think and Tellhave in common?

Fun fact, related Story Sums

all the circled numbers

Multiplication Rules

The number to be multiplied is multiplicand and the number by which we multiply is multiplier.

Do It Together

UM24CB_G4.indb 1

Sanju’s father helps him find the number of words using multiplication.

Add 12,344 and 1115. 6 × ____ = ____

A quick-thinking

He has learnt 14 words already! Hurray!

example

0 1 Friday 2 3 Thursday

2 + 2 + 2 + 2 + 2 + 2 + 2 = 14

__________

9958

Sanju and his father play a newspaper game where he learns 2 new words each day. They have been playing this game for a week. Sanju is trying to find all the words he has learnt. He starts adding quickly.

with a real-life

Wednesday

6×1=6

Real Life Connect

UM24CB_G4.indb 49

9/11/2023 4:25:30 PM

The total number of fiction books = 1219 The total number of non-fiction books = 1567 hat do we need to ﬁnd

dividing 92 by weby get 2 remainder. On dividing 96 by 6, we get ____ remainder. 36 ÷ 1 36 the number 0 of a number areOn the products we6,get multiplying by 1,Yes2, 1 2 1 9 Face Value Numbers Thinkinand Telltotal number =6-digit The of fiction books 36 ÷ 2 ____ 0 ____ 1 5 6 7 + The total number of non-fiction books Do we need+of to go6. So, 92 _______________________________ of 6. So, 96 ___________________________ We learnt about the concept of face value in the previous section. It is defined as the

an be found by using multiplication tables36as follows: ÷4 ____

The total number of books in the library

beyond 6=to1219 find + 1567

numericalmore value ofofthe factors 36? digit on a particular place in a number. Solve to find the answer.

out 36 ÷ 5 7 1 ____ For example, the Pincode on Ajay’s 3 × 6 = An 18important So,Pointing the total number of books in the library is 2786. ____ 0 Yes letter was 781005. The face value of It Yourself 5A 36 ÷ 6 keep in commonly made 3 × 7 = point 21 toDo Error Alert! The city organised a two day donation dri e. the Lakhs place nisthe simply 7.of the dri e Remember! Remember! ﬁrst day clothes were So, the factors of 36 are ___________________________________________________________________. 3 × 8 = mind 24 mistakes and When we add 1000 to a collected. n the second day of the driNever e confuse Face Value with Place Value! For A number is a multiple of itself too. Similarly, we say that the face value of 4-digit number, only the clothes were collected. ow many clothes were 3 × 9 = 1 27Colour the balloons that are multiples of 2. howinto avoid example, in 781005, the Value of the Lakhs digit Face in the thousands For example, multiples of 5 are 5, total? the digit on thecollected Ten Thousands place place changes. place is 7 and the Place Value is 7 × 100000 = 700000. Do15, It Yourself 3 × 10 = 30 10, 20, 25,5C 30 and so on! them 4

Round off each dividend to the nearest 10s and 100s and then divide. To the nearest 10s

Example 4

To the nearest 100s

b 4589 ÷ 3 c

is 8.

e 5555 ÷ 5

What do we know?

4 6 5 8 7 Show 10 in different arrangements. Then, list the factors of 10.

Show 18 in different arrangements. Then, list the factors of 18.

1 238 children went to a school camp. If one tent can be shared by 4 children, number of clothes collected = 1366 + 1000 Find the factors of the following numbers using multiplication. write the placeTotal value chart for 348673:

860 people have been invited to a banquet. The caterer is arranging tables. Each table can seat 10 Number of clothes collected during the 5first day of the drive = 1366 people. About how many tables are needed?

[Round off the dividend to the nearest hundred]. Number of clothes collected duringin thethe second day ofplace the drivein = 1000 What is the face value of the number lakhs 348673?

eck if a number is a multiple of a number using division. If the remainder Word Problems What do we need to find? Show 20 in different arrangements. Then, list the factors of 20. We know that face value is the numerical value of the digit in a particular place. Let us gger number is a multiple of the other3number. For example: 5

ainder

15 – 15 00

3 11

Example 6

5 d 3916 e 340 18 – 17 15 Find the factors of the following numbers using division. 5 a b c d e 9 11 12 13 15 leaves remainder 1 01

a 14

b 21

c 36

19 L

g 48

h 50

20 30 TTh

approximately how many tents will be needed for the camp?

₹5734 is distributed between 2 groups of students. Each group has 11 students.

Estimate the amount of money that each student gets.

Points to Remember HOTS: end Is 18 a factor of 126? Explain your answer. 6 The face value ofChapter the number in the Lakhs place is 3. by 5, we get 0 remainder. On dividing 16 by 5, we get remainder 1. Is of 6 a the factorgiven of 64? Explain your answer. 7 Find the first five multiples numbers. 2 • The number being divided is called the dividend. The number by which we divide is Applicative summary called the divisor. The result of the division is called the quotient. The number left over Do It iple of 5. So, 16 8is not multiple 5.10 have exactly TWO factors? Which a numbers betweenof 1 and Thousands division is called the place remainder. in 800234? a 7 b 8 c 9 dTogether e 11value of the number in the after 10 What is the face and analytical • To check if our answer after division is correct, we can use: Dividend = (Quotient × UM24CB_G4.indb 30

Which number has the greatest number of factors between 5 and 15? What is the smallest number that has exactly three factors?

s and Factors

h 14

Points to Remember m

Word Problems

place value chart for 800234: j 16 15 Let us write the

n 20

•

The place value table is divided into groups called periods.

•

5-digit numbers have 2 periods - Thousands Period and Ones Period.

•

Face value is the numerical value of the digit in a particular place in a number.

o TTh 25

________

Tina bought 16 eggs. She wants to arrange them into a tray. In how many Chapter 5 • Multiples and Factors • 16-digit numbers have 3 periods - Lakhs Period, Thousands Period and Ones Period. • • •

UM24CB_G4.indb 83

When a number is divided by itself, then the quotient is 1.

•

When 0 is divided by any number, then the quotient is always 0.

•

When a number is divided by 10, the digit at the ones place forms the remainder and the remaining digits form the quotient.

•

When a number is divided by 100, the digit in the ones place and tens place forms the remainder and the remaining digits form the quotient.

________

The face value of the number in the thousands place is _________. • When a number is divided by 1000, the digits in the ones place, tens place and

ways can she arrange the eggs?

Raman, a baker, baked biscuits. He wants to place arranged from thehas smallest to the72 largest are said to be in an ascending order. the same number 2Numbers

thousands place form the remainder and the remaining digits form the quotient.

of biscuits each packet. are possible? Numbers arranged in from the largest to theWhat smallestdifferent are said to bearrangements in a descending order.

Representing 6-digit Numbers

Rounding numbers is helpful when we need an estimate and when we want to convey 9/11/2023 4:26:02 PM numbers in an easier way.

Chapter 4 • Division

UM24CB_G4.indb 77

Place value Scavenger Hunt:

to interactive

Materials Required: Newspapers, Magazines, or the Internet

For 6-digit numbers, the Lakhs place falls in the Lakhs Period.

Setting: Groups of 4

UM24CB_G4.indb 92

digital resources 9/11/2023 4:26:15 PM

Divide the entire class into groups of 4.

classroom

Each group can be dedicated a particular category like City population, State population,

Lakhs Period

activity

Each group collects the data on their respective category from newspapers, magazines, or

Each groups’ data must include at least 5 numbers in their category.

Lakhs

Each group discusses and deduces the following for each number in their data:

Followers of celebrities, Number of speakers of a language, and Car and Bike prices. the internet.

Place value and face value of each digit.

10 100

UM24CB_G4.indb 22

Thousands Period Ten Thousands (TTh)

Ones Period

Thousands (Th)

Hundreds (H)

Tens (T)

Ones (O)

We can therefore represent our 6-digit number 781005 as: Lakhs Period

Correctly order the numbers in ascending and descending order

9/11/2023 4:25:58 PM

We learnt that the Thousands period includes Ten Thousands and Thousands places. The QR Code: Access Ones period includes the Hundreds, Tens and Ones places.

Math Lab

multidisciplinary and fun

When a number is divided by 1, the quotient is always the number itself.

•

Let us continue to learn about the4:26:03 “periods” convention for large numbers. 9/11/2023 PM

Divisor) + Remainder.

•

1000

Chapter 1 • Numbers up to 6-digits

9/11/2023 4:25:13 PM

7,81,005   

  

k 17

g 13

  

f 12 questions

9/11/2023 4:25:17 PM

Thousands Period

Ones Period

iii 9

G rad ual Rel ease of Re spon si bi li t y

The Gradual Release of Responsibility (GRR) is a highly effective pedagogical approach that empowers students to learn progressively by transitioning the responsibility from the teacher to the students. This method involves comprehensive scaffolding—including modelling, guided practice, and ultimately fostering independent application of concepts. GRR, endorsed and promoted by both the NEP 2020 and NCF, plays a pivotal role in equipping teachers to facilitate age-appropriate learning outcomes and enabling learners to thrive. The GRR methodology forms the foundation of the IMAGINE Mathematics product. Within each chapter, every unit follows a consistent framework: 1. I Do (entirely teacher-led)

2. We Do (guided practice for learners supported by the teacher) 3. You Do (independent practice for learners) GRR Steps

Unit Component

Snapshot

Numbers Beyond 9999 Ajay: Hello daddy, I found this letter, it is for you.

Real Life Connect

Father: Thank you. Ajay: The letter has your name and the address of our home. Father: Yes.

Real Life Connect

Ajay: But, what is this big number 781005?

From: Ajay Shukla, 12, Hathipol,

Guwahati - 781005

Father: It is a special code, also called the postal code. This code helps in finding the exact location in a city.

Theoretical explanation

Ajay: Okay daddy. But it has 6-digits, and I find it hard to read!

Facts about Multiples

• Every number is a multiple of 1 and the number itself.

ForAbout example, 55-digit × 1 = 5. Here, 5 is a multiple of 1 and 5. All Numbers!

• Every multiple is either greater than or equal to the number itself.

ToFor help Ajay understand 6-digit numbers, let's first learn about 5-digit numbers. example, the multiples of 8 are 8, 16, 24, 32, 40, … and so on. Here, each multiple is

to that or greater 8. thousand nine hundred ninety-nine is the greatest 4-digit Weequal know 9999than – nine • Every number has an unlimited number of multiples. number.

I do

For example, the multiples of 7 are 7, 14, 21, 28, 35, …, 70, 77, …, 7000, …, 70000, …,

Now, we add 1 to this, we unlimited. get 10000. and when so on. Here, multiples of 7 are Example 1

ind the multiples of . 9999 + 1ﬁrst = 10000

Remember!

We can find the multiples of 4 by using the number line showing jumps of 10000 4. is the smallest 5-digit

10000 is read as “Ten Thousand”. 1

Let us learn more about 5-digit numbers! 0

number. 99999 is the greatest 5-digit number.

9 10 11 12 13 14 15 16 17 18 19 20

Place Values and Expanded Form in 5-digit Numbers We can find the multiples of 4 by using multiplication tables as follows:

We4 know that a 4-digit number has 4 places on the place value chart - ones, tens, ×1= 4 hundreds and thousands. The place on the left to the Thousands place is called the Ten Did You Know? 4×2= 8 Leap years are always Thousands place. 4 × 3 = 12

Examples

multiples of 4. For example

× 4 take = 16a 5-digit number 13435. The place value chart Let4 us for this can be written the years 2016, number 2020, 2024, ... as:4 × 5 = 20 are all leap years. The five multiples TThfirstTh H T of 4Oare 4, 8, 12, 16 and 20. 1 3 4 3 5 ind the ﬁrst multiples of . Chec by di iding whether

Example 2

Did You Know?

is a multiple of . The number 4 is the 5 only number with the same number of letters as its value in the English language.

Always remember that place value is the value of the digit in a number based on 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 its0position in the given number. The place 100 5= ×400. 5 ×value 1 = 5 of “4” 5 × in 2 =13435 10 5is × 34 =×15 4 = 20

The first five multiples of 5 are 5, 10, 15, 20 and 25. 5

UM24CB_G4.indb 2

5 × 5 = 25

leaves remainder 0

95 – 95 00

19 On dividing 95 by 5, we get 0 remainder. So, 95 is a multiple of 5.

9/11/2023 4:24:58 PM

Find the factors of 36 using the division method.

Do It Together

GRR Steps

Divide numbers by 36

Unit Component

What do we get?

Check the remainder

36 ÷ 1

36 ÷ 2

____

Yes

36 ÷ 4

____

Think and Tell Do we need to go

Find 20 and 30. Also, common factor of both 36 ÷ 3the common 12 factors of ____ ____ find the highest beyond 6 to find the numbers. more factors of 36?

Do It Together

Find the method. Step 1 factors7of 36 using1 the division 36 ÷ 5 ____

Do It Together

Factors of 20 36 ÷ 6 Divide numbers by 36

We do

Are the numbers

factors of 36? Snapshot

1 2 0 What do we get?

____

4 5 10 20 Yes Check the Are the numbers remainder factors of 36?

Step 2 So, the factors of 36 are ___________________________________________________________________.

Do It Together

36 ÷of130 Factors

Yes

Step363÷ 2

____

Common 36 ÷ 3Factors

____

Do It Yourself 5C

of 20 and 30 3610 ÷ in 4 different arrangements. ____ Show Then, list 0 the factors of 10. ____

Show Then, list 1 the factors of 18. ____ 3618 ÷ in 5 different arrangements. 7

Do we need to go beyond 6 to find more factors of 36?

The common factors of 20 and 30 are ____________________________________________________. Show 20 in different arrangements. Then, list the factors of 20.

3 4

Think and Tell

36 ÷ 6

____

Yes

Math Lab of the following Find the factorscommon numbers multiplication. The highest factor of 20 using and 30 is __________.

So,a the b 21 of 36c are d 39 e 40 f 42 g 48 h 50 i 77 14 factors 36 ___________________________________________________________________.

Board Game of Multiples

Find the factors of the following numbers using division.

Do It Yourself 5D

Setting:bIn groupsc of 4

a 9

d 13

e 15

Materials grid as shown below, dice, crayons Do ItRequired: Yourself Number 5C

Find the common factorsyour of the following numbers. 1 18 Is a factor of 126? Explain answer.

8, 10 of 64? Explainbyour 12, answer. 15 IsMethod: 6a a factor

c 13, 16

d 14, 20

e 16, 18

Show 10 in different arrangements. Then, list the factors of 10. 45 j 72, i 54, 64 12 2681

g h 35, Each chooses their 20, 30 player 33, 10 44 50 factors? 1 f numbers between 1 and have colour. exactly TWO 8 1 Which

number. 4 player chooses multiple that Also, find the lowest and the highest 3 FindThe the factors ofathe pairsnumbers of of numbers. 3 Find thecommon factors of the following using multiplication. 18 20 22 48 Word common Problems number on Show the board and shades it with factors. it with a diagram. a 14 b 21 c 36 d 39 e 40 21 f 42 30 17g 4822 their colour.

Do It Yourself

a is6the b arrangements. c Then, d 3 40 8that has exactly 12 factors? number three Show 20smallest in different list the factors of 20. 50 e 436 10 3 What

Word Problems

a 16 and 24

a common factor of allyour the numbers. Isc 6 0aisfactor of 64? Explain answer. _______

e 6 is number a common factor 18, 30 and 66. _______ Which has theof greatest number of factors between 5 and 15?

f The lowest common factor of 20, 34, 39 and 42 is 1. _______ Chapter Checkup 10 What is the smallest number that has exactly three factors? 5

9/11/2023 4:26:15 PM

Radhe says, “The number 14 has a greater number of factors than 45.” Is he correct? Verify your answer.

Word Find theProblems factors.

c 72 d 88 eggs. She wants to arrange them into a tray. iIn how many g 16 1201 Tina bought 156 200 h 180

ways can she arrange the eggs?

e 98 95 j

222

Find the common factors of the given pairs of numbers. 2

Raman, a baker, has baked 72 biscuits. He wants to place the same number 9/11/2023 4:26:19 PM

Which of these pairs of numbers have the common factor of 4? 92

a 5 and 20

b 20 and 100

c 12 and 36

d 60 and 200

c 15

d 23

Write the first 5 multiples. a 7

b 11

e 30

Write the smallest number which is a common multiple of the given number pairs.

UM24CB_G4.indb 92

a 2 and 5

e 10 and 15

d 15 and 25 havebetween a total of 1 3 and common factors. _______ Which numbers 10 have exactly TWO factors?

a 7 and 14 c 9arrangements of biscuits b in each packet. are possible? 24 and 30 What different and 12 d 20 and 25

UM24CB_G4.indb 95

of biscuits in each packet. What different arrangements are possible?

6 10

aChapter 45 5 • Multiples andbFactors 66 2

13 have no common _______ aand factor ofwho 126? Explain factors. yourmost answer. The player colours the number of multiples on the board is the winner. 5Isb 1811

UM24CB_G4.indb 92

f 818

92 8

Chapter Checkup

h 50 11 60

b 21 and 42 c 63 and 18 d 55 and 100 e 48 and 84 Tina bought 16 eggs. She wants to arrange them into a tray. In how many

Inthe case a player gets 1 on the dice, they 67 factors of the following numbers using division. 7 5 4 4Find ways can she arrange the eggs? Write if True or False. can choose any number on the board. b 11 c 72 dHe13 e is 15 9 12biscuits. 18 a baker, has baked wants to36 place samefnumber The biggest common factor of numbers 24 and 3.the _______ 2aa Raman, (Do you know why?)

You do

18 inhas different arrangements. Then, list the of number therolls greatest of factors between 5factors and 15?the One player the number diceare and sees Which of the following numbers factors ofthe 78 and 96? Circle correct 9 2 Which 5 18. 24 option. 15 Verify 42your answer. 25 35 2 2Show

b 3 and 7 f

10 and 25

c 5 and 8

g 11 and 22

9/11/2023 4:26:15 PM

d 4 and 14

h 20 and 24

Find the following. a Multiples of 4 that are smaller than 30.

Pearson, P. D., & Gallagher, G. (1983). Contemporary Educational Psychology.

b Multiples of 6 that are smaller than 50.

Fisher, D., & Frey, N. (2021). Better learning through structured teaching: A framework for the gradual release of responsibility. c Multiples of 8 that are greater than 30 but smaller than 80.

Fisher, D., & Frey, N. (2014). Checking for understanding: Formative assessment techniques for your classroom.

Chapter 5 • Multiples and Factors

Gradual Release of Responsibility UM24CB_G4.indb 97

9/11/2023 4:26:2

C o nt e nt s

Pre-number Concepts �� 1 • Space and Size

Numbers up to 20 �� 18

• Building Numbers up to 20

• Comparing and Ordering Numbers

Addition up to 10 �� 43 • Understanding Addition

• All About Shapes

• Shapes Around Us

• Patterns

• Let’s Subtract

Numbers up to 50 �� 107 • Numbers from 21 to 50

108

• Comparing Weights

128

• Comparing Capacity

133

Addition and Subtraction

• Numbers from 50 to 100

142

up to 100 �� 159 • Let’s Add

160

• Let’s Subtract

165

Introduction to Multiplication �� 174

Time and Money �� 186

6 Addition and Subtraction up to 20 �� 91 • Let’s Add

123

Numbers up to 100 �� 141

Shapes and Patterns �� 73

• Comparing Lengths

Subtraction up to 10 �� 58 • Understanding Subtraction

Measurement �� 122

• Equal Grouping

175

• Time

187

• Money

196

Data Handling �� 204 • Understanding Data

205

Answers �� 216

UM24CB_FM.indd 6

11/18/2023 4:41:01 PM

Pre-number Concepts

Let's Recall Things can be big or small. Let us see some big things and small things. Small

Big

Let's Warm-up

Circle the big thing. 1

I scored _________ out of 4.

Space and Size Real Life Connect

Rahul and Riya love their pet dog and cat. The dog and the cat hide in different places.

Position Have a look at where they hide!

Let us understand more about these positions. Behind-In Front of, Inside-Outside

The boy is behind the tree. The girl is in front of the tree.

The cat is INSIDE the box. The cat is OUTSIDE the box.

Example 1

Write down the position of the girl. The girl is BEHIND the box.

The girl is IN FRONT of the box.

BEHIND

IN FRONT OF

Example 2

Where is the girl? The girl is INSIDE the house.

Do It Together

The girl is OUTSIDE the house.

Where is the boy?

The boy is _________ the rocket. The boy is _________ the rocket.

Before–After-Between Raj and Sahil are standing in a line. Let us understand their positions. Raj

Sahil

Raj is standing before Sahil. Sahil is standing after Raj

Before

After

Rita

Raj

Sahil

Another friend Rita comes and stands before Raj. Now what is the position? Rita is standing before Raj. Sahil is standing after Raj. Raj is standing between Rita and Sahil. Chapter 1 • Pre-number Concepts

Before

Between

After 3

Do It Together

Look at the 3 animals. Fill in the blanks. The bear is _______ the rabbit. The rabbit is _______ the bear and the lion. The lion is _______ the rabbit.

Top-Bottom, On-Under, Above-Below Look at the monkeys in the tree.

Top shelf

Top

Bottom

Bottom shelf

The cat is on the table.

The cloud is above.

The dog is under the table.

The buildings are below.

Example 3

Label the positions.

Do It Together

Fill in the blanks with on or under. The vase is ________ the table.

Above

Below

The shoes are ________ the table.

Near–Far Rahul and Riya were playing near the tree. Where are they now?

Rahul is NEAR the tree.

Riya is FAR from the tree.

Near means close to a thing. Far means away from a thing. A girl was playing with 3 toys. The toys fell near her.

Nearest

Nearer

Near

The girl went out and saw 3 trees. They were 'far.'

Far Chapter 1 • Pre-number Concepts

Farther

Farthest 5

Example 4

Circle the thing that is farthest from the house.

Farthest

Do It Together

Farther

Far

oo at the picture and ﬁll in the blan s. SHOP

Ram

Shyam

Prem

_________ is nearer to the shop than Shyam and Prem. Prem is _________ from the shop. _________ is the nearest to the shop. Maps Left and Right Who is on the left and who is on the right?

The girl is on the LEFT.

The boy is on the RIGHT.

Example 5

Fill in the blank with left or right. This is Mia’s right hand. This is Mia’s left hand.

Let us use left and right to find ways on a map.

Up Right

Left

Down

We can also move up, down, left and right on a map. Orange to yellow

1 step left

Orange to grey

1 step up

Think and Tell

How many steps will you go right from purple to reach blue?

Orange to brown

1 step down

Chapter 1 • Pre-number Concepts

Orange to green

1 step right 7

Example 6

Mark the arrows to show the position.

Do It Together

o e on the map and ﬁnd the letters.

UP LEFT

RIGHT

DOWN

Sam is on C. He goes 1 step left. He reaches _________.

Sam is on X. He goes 1 step up. He reaches _________.

Do It Yourself 1A 1

Look at the pictures. Match the same positions. One is done for you.

Identify and write down the correct position. a

inside, outside

__________ c

Before, between and after

__________

left, right

__________ __________ __________ d

___________ top, bottom

___________

Look at the picture and circle what is in between. One is done for you. a

Look at the map and fill in the blanks.

Read the clues to move on the map. Find the shape.

(down, up, left, right)

Where have you reached? ____________ b

You are on the green triangle. Move 2 steps up. Move 2 steps left. Where have you reached? ____________

Chapter 1 • Pre-number Concepts

Down

You are on the red square. Move down 2 steps. Move 1 step right. Move 1 step up.

Right

___________

Left 9

Word Problem 1

Mili saw two dogs in the park. One was near and the other was far. Look at the picture and label their positions.

Size Rahul and Ria went to the zoo. They saw animals of different sizes. Big and Small Look at the 2 animals. The lion is big. The mouse is small.

Now, there are 3 big animals.

Big Do It Together

Bigger

Let us look at 3 small animals.

small

Biggest

smaller

smallest

Look at the picture. Circle the biggest. a

Long and Short Here, the branch is long and the snake is short.

Let us see 3 long snakes.

Let us see 3 short branches.

Do It Together

riya has

Short

Longest

Shorter

Longer

Shortest

Long

diﬀerent si es of combs and hair clips.

Write down long, longer and longest.

Write down short, shorter and shortest.

____________

Tall and Short There were many trees in a zoo. They were of different sizes.

Tall

Short

These are 3 short plants.

These are 3 tall buildings.

Tall

Taller

Chapter 1 • Pre-number Concepts

Tallest

Short

Shorter

Shortest

Example 7

Write down short, shorter and shortest. Short Shortest

Do It Together

Look at the picture. Write down tall, taller and tallest.

Shorter

___________

Thick and Thin Priya went to a bookshop. She wanted to buy a book with few pages. Let us help her buy a book. Thick

Example 8

Thin

The book which has many pages is thick. The book with fewer pages is thin.

Look at the trees. Mark thick and thin.

Thin

Do It Together

Thick

Do It Yourself 1B 1

Colour the bigger object. One is done for you. a

Write thick or thin.

Circle the tall thing. One is done for you. a

Circle the thick pencil. Cross out ( ) the thin pencil.

Mohit and Tiya are playing with blocks of the same size. Mohit makes a tower with 3 blocks. Tiya makes a tower with 2 blocks. Whose tower is tall?

Word Problem 1

Mita and Rita water their plants. They have two cans. Circle the thin can.

Weight Riya and Rahul had to clean their room. Riya picked up a balloon easily. Rahul could not pick up the toy bag. Let us find out why. Heavy and Light The bag is heavy.

The bag is heavy.

The book is light.

The balloon is light.

Chapter 1 • Pre-number Concepts

Example 9

Circle the boy with the light object.

Do It Together

Circle the heavy things.

Do It Yourself 1C 1

Circle the objects which are light. a

Colour the heavy animal and vehicle. a

Draw lines to show where you will place the things. One is done for you.

Look at the picture. Who is carrying a heavy object? Tick ()

There are three boxes. Misty carries one box. Daniel carries two boxes. Who is carrying more weight?

Word Problem 1

Soham is carrying a box with some toys. Joy is carrying one apple. Who is carrying the light thing? Circle.

Points to Remember • • • • •

Big and small show size. Inside and outside show position. Tall and short show height. Light things are easy to carry. Heavy things are difficult to carry.

Math Lab Let Us Sort!

Things required: Objects in the classroom/surroundings which are easy to carry. Example: bags, books, chair, chalk, crayon box etc. Setting: 4 people in a group. What to do? 1 2 3

Each child will collect 2 objects from the surroundings. Come back to the group after collecting the things. Sort the objects into:

• Big and small

Chapter 1 • Pre-number Concepts

• Heavy and light

Chapter Checkup 1

Look at the picture. Write true or false. a

The teddy bear is behind the drum.

The ball is under the sofa.

Some toys are in the box.

The plant is on the cupboard.

The train is in front of the toy box.

The drum is on the sofa.

Match the ball with its position.

Behind 3

In front of

Inside

Look at the map. Fill in the blanks with the words given below. (right, in front, left, in, on)

The school bus is on the __________.

The apple tree is on the __________.

The children are __________ the pool.

The tent is __________ of the tree.

Two children are __________ the seesaw.

Fill in the blanks with before, after, between. a

Samuel 16

Outside

Rosa

Henry

Rhea

Samantha

Samuel is standing ___________ Rosa. Rhea is standing ___________ Henry and Samantha. Samantha is standing ___________ Rhea.

Look at the pictures. Colour the tallest. a

Look at the pictures. Colour the long things. a

Jia and John are holding books. Who is holding the thick book? Circle.

Look at the picture. Circle the thick book. Cross ( ) the light book. THICK

THIN

Look at the picture Circle the bench near the tree. Cross ( ) the bench far from the tree.

Look at the picture below. Draw a tree taller than this boy.

Word Problem 1

Manoj and Pooja are pointing where they want to go. Mark left and right.

LEFT

Chapter 1 • Pre-number Concepts

RIGHT

Numbers up to 20

Let's Recall Let’s count the given things.

3 3

Let's Warm-up Count and match. 1 2 3 4 5

I scored ___________ out of 5.

Building Numbers up to 20 Real Life Connect

Jiya loves going to her art class. One day Jiya reached her class early. Her teacher gave her some work.

Count the number of children when they come.

Yes

Jiya was waiting for other children to come.

Numbers up to 9 Let us help Jiya count the number of children who are coming to the class. 1 child Prisha joined, now there are 2 children. Bani joined, now there are 3 children. Aarav joined, now there are 4 children. Joy joined, now there are 5 children. Kartik joined, now there are 6 children. Neha joined, now there are 7 children. Rohit joined, now there are 8 children. Raj joined, now there are 9 children.

There are 9 children in the class.

Chapter 2 • Numbers up to 20

One-to-One Matching Let us help Jiya give 1 pencil to each child.

Example 1

Do It Together

Give 1 carrot to each rabbit.

Match each farmer to the tractor. How many tractors are left after matching?

________ tractor is left. Error Alert! Match Carefully!

Counting Things up to 9 These are numbers from 1 to 9.

Let us count the number of things in the art class.

Count and circle the correct number of objects.

Example 2

Error Alert! Count the number of objects only once:

Do It Together

5 cup cakes

4 cup cakes

Count and colour the dots. One has been done for you.

Number Names Let us learn to write numbers in words or as number names.

1 one

2 two

Chapter 2 • Numbers up to 20

3 three

4 four

5 five

6 six

7 seven

8 eight

9 nine 21

Example 3

Count the objects and write the correct number name.

two Do It Together

three

five

Count and write the number and the number name.

four

______________________

5 ______________________

______________________

Do It Yourself 2A 1

Count the number of objects and colour the dots. One has been done for you. a b

Count and write the number of things. a

Match the numbers with the correct number names. a b c d

nine

eight

seven

six

Write the numbers. a

one: _________

four: _________

two: _________

eight: _________

Write the missing letters of the number names. a

8 – _____I_____ _____ _____

3 – T _____ _____ E E

Making 10 There are 9 blue balloons. One red balloon is added to them. Now, there are 10 balloons.

There are 5 eggs. 5 more eggs are added to the box. Now, there are 10 eggs. Zero There are 6 oranges in basket A, while basket B is empty. We use '0' to show nothing. We read it as ‘zero’. Example 4

Count and write the number of apples on the plate.

Basket A

Basket B

Remember! 2 apples Do It Together

1 apple

0 apple

0 means there is nothing.

There were 2 birds.

2 birds flew away. Chapter 2 • Numbers up to 20

Now there are _____ birds. 23

The Number 10 There are 9 children in the art class.

One more friend joined. So, there are 10 children now.

one

two

three

four

five

six

seven eight

nine

ten

9 10

10 is written as ten in words. 10 things can be shown in one bundle like below:

We get one bundle of 10 sticks and 10 pencils. Example 5

Circle the group of 10 balloons.

1 Do It Together

Count the shapes. Tick () the shapes that are 10. Write the number name.

_______________

Do It Yourself 2B 1

Circle the things that are 10. a

Draw the remaining beads in each box to make 10 in each string.

How many are left? a

Count the number of mangoes on the tree. Write the number.

There are _____ mangoes. There are _____ mangoes. b

There are _____ mangoes.

Count the number of pencils in the stand.

_____ pencils

Write the number name of 10.

How many buttons need to added or removed to make a group of 10?

Building Numbers (11 to 20) At the end of the class, the teacher asked Jiya and her friends to pack the crayons in the box. They had to count and pack their crayons in their boxes.

Chapter 2 • Numbers up to 20

The children counted till 10 easily. Let us help them count the numbers above 10. Counting up to 20 Let us see how many crayons do they have! We know numbers till 10. 0

Let us count numbers up to 20.

Example 6

Count and write the correct number of objects. 15 12

Do It Together

Look at the number and colour the same number of objects. 1

Numbers 11 to 20 as Tens and Ones Let us count till 20 by making bundles of 10. We have 10 chocolates. We can make a bundle of 10 by putting them in a box. 1 box of chocolates = 10 chocolates = 1 ten = one

10 chocolates

2 chocolates

10 chocolates

8 chocolates

1 ten

2 ones

1 ten

8 ones

= 12

= 18

Think and Tell If there are 2 boxes of 10 chocolates, how many chocolates are there in the 2 boxes?

Let us read the tens and ones in numbers from 10 to 20. 10

1 ten 0 ones

1 ten 1 one

1 ten 2 ones

1 ten 3 ones

1 ten 4 ones

1 ten 5 ones

1 ten 6 ones

1 ten 7 ones

1 ten 8 ones

1 ten 9 ones

20 2 tens 0 ones Chapter 2 • Numbers up to 20

Example 7

Make groups of 10 and write the number.

1 7 ones

1 ten and Do It Together

Circle groups of tens to show the number. 15

___________

Number Names We can write the numbers from 11 to 20 in words as follows: 1 ice cream stick

10 ice cream sticks in a bundle

1 one

1 ten

Let us see how to write number names for numbers 10 to 20.

1 ten 1 one = 11

1 ten 6 ones

2 tens

eleven

sixteen

twenty

Number

Number Name Number

Number Name 28

ten 16

sixteen

eleven

twelve 17

seventeen

thirteen

fourteen

fifteen

eighteen

nineteen

twenty

Write the number names for the given numbers.

Example 8

13 – _____________ thirteen Do It Together

15 – _____________ fifteen

18 – _____________ eighteen

Fill in the blanks. 1

_______________

____

twenty

_______________

____

eighteen

Do It Yourself 2C 1

Count and write the correct number, using tens and ones. a

_____ ten _____ ones 2

_____ ten _____ ones

Colour only the tens to make the number. a

Write down the number names. a

14 __________________

11 __________________

12 __________________

15 __________________

Write the numbers for the given number names. a

Twenty

Eleven

Thirteen

Sixteen

Eighteen

Draw the correct number of stars in the empty box to make the total number as 20.

Chapter 2 • Numbers up to 20

Comparing and Ordering Numbers Real Life Connect

It is festival time! Shobha is excited to meet her cousins. She is also helping her parents. Shobha: What can I do? Mother: You can help me in counting and arranging things.

Forward and Backward Counting Mother: Shobha, can you arrange the diyas? Shobha: Yes. Mother: Put 20 diyas. Shobha starts counting. 1

10 11 12 13 14 15 16 17 18 19 20

This is called forward counting.

Error Alert!

When we count forward, the next number is one more than the previous number.

Always count in order:

Now, Shobha's father asked her to keep the extra diyas in the box. This time Shobha starts counting from 20. 20 19 18 17 16 15 14 13 12 11 10

1,3,4,2,6,5 – 1,2,3,4,5,6 – 8

This is called backward counting. When we count backwards, the next number is one less than the previous number. Example 9

Fill in the blanks. 5, ___, 7, 8 5, 6, 7, 8 – We count forward. 6 is the next number.

What is the missing number?

Example 10

19, 18, ___, 16 19, 18, 17, 16 Do It Together

We count backwards. 17 is the next number.

Complete the given number strips: 12

Do It Yourself 2D 1

Write down the missing numbers. a

13, 14 _____, _____, 17

19, _____, 17, 16,_____

10, _____, _____, 7, 6

12, 13, _____, _____, 16

15, 16, _____, _____, 19

20, _____, 18, _____

Count forward and write the numbers. a

10 3

Count forward and write the numbers. a

Write the numbers to complete the strip. 15

11 Chapter 2 • Numbers up to 20

20 31

Write the numbers to start the rocket! 1

Count and write the next number. a

15, 16, 17, 18, ______

11, 12, 13, 14, ______

1, 2, 3, 4, ______

10, 9, 8, 7, ______

Before, Between and After

Let us understand before, between and after with the help of numbers. 1

10 11 12 13 14 15 16 17 18 19 20

15 is before 16 The number before is 1 less than the given number. 16 is in between 15 and 17.

15 16 17

17 is after 16.

The number after is 1 more than the given number. Example 11

15 16 17

Write the numbers that come after 19. Look at the number strip. 1

20 comes after 19.

10 11 12 13 14 15 16 17 18 19 20

Example 12

Write the number that comes in between.

11 ___ 13

Look at the number strip. 1

10 11 12 13 14 15 16 17 18 19 20

12 comes in between 11 and 13. Do It Together

Fill in the boxes using the number strip. 1

10 11 12 13 14 15 16 17 18 19 20

Before

Between

After

Do It Yourself 2E 1

Write the number that comes after. a

5 _____

2 _____

12 _____

13 _____

19 _____

10 _____

Write the number that comes before. a

_____ 2

_____ 7

_____ 14

_____ 19

_____ 11

_____ 10

Write the number that comes in between. 3

Chapter 2 • Numbers up to 20

Complete the table with the missing numbers. Before

Between

After

5 13

10 5

In a line, Rahul is standing after Rohan. Mohan is standing before Rohan. Who is in between?

Comparing Numbers Shobha is packing laddoos in boxes. She packs 9 laddoos in one box and 12 laddoos in another box.

9 laddoos

12 laddoos

Let us see which box has more laddoos? 1

10 11 12 13 14 15 16 17 18 19 20

12 is after 9. So, 12 is more than 9. 9 is less than 12. Example 13

Look at the pictures. Circle the box that has less number.

4 1

4 is before 6. So, 4 is less than 6. 34

6 6

10 11 12 13 14 15 16 17 18 19 20

Do It Together

Count and circle the box that has less number.

_______________

Do It Yourself 2F 1

Count and circle the box that has more number.

Circle the smaller number.

Tick () the bigger number and cross ( ) the smaller number. a

Meena has 13 fruits. Seema has 10 fruits. Who has more fruits?

Use the number strip to circle the biggest number. 17

Chapter 2 • Numbers up to 20

10 11 12 13 14 15 16 17 18 19 20 35

Ordering Smallest to Biggest Shobha arranged the diyas from smallest to biggest. Let us understand arranging from smallest to biggest with the help of numbers. Shoba packed some sweets in three different boxes. 6 sweets

9 sweets

4 sweets

To arrange the number of sweets from smallest to biggest: Step 1

Mark the numbers on the number strip. 1

10 11 12 13 14 15 16 17 18 19 20

Step 2

Count forward to arrange the numbers from smallest to biggest. Smallest to biggest 1

10 11 12 13 14 15 16 17 18 19 20

The smallest number (4) comes first and the biggest number (9) comes at the end. 4 sweets

Example 14

6 sweets

9 sweets

Arrange the numbers from smallest to biggest: 16, 19, 11, 8. Mark the numbers on the strip and count forward. Smallest to biggest 1

10 11 12 13 14 15 16 17 18 19 20

We write the smallest number first and the biggest number at the end. 16, 19, 11, 8 = 8, 11, 16, 19 Do It Together

Arrange numbers 9, 20, 18 and 10 from smallest to biggest. 9, ____, ____, 20

Do It Yourself 2G 1

Arrange things from smallest to biggest. Write 1 below the smallest object, 2 below the bigger one and 3 below the biggest one. a

Arrange the numbers from smallest to biggest. a

11,

17,

16,

14,

19,

18,

10,

16,

17,

20,

13,

Circle the numbers which are arranged from smallest to biggest. a

16, 11, 9

3, 7, 12

12, 17, 8

13, 18, 19

10, 11, 16

18, 9, 10

Match the following such that the numbers are arranged from smallest to biggest. a

13, ___, 15

17, ___, 19

11, ___, 13

8, ___, 10

4, ___ 6

Which is the biggest number among 9, 16, 10 and 6?

Chapter 2 • Numbers up to 20

Ordering Biggest to Smallest Shobha arranged some other diyas from biggest to smallest. Let us understand arranging from biggest to smallest with the help of numbers. Shoba packed some sweets in 3 different boxes. 8 sweets

15 sweets

10 sweets

To arrange the number of sweets from biggest to smallest: Step 1

Mark the numbers on the number strip. 1

10 11 12 13 14 15 16 17 18 19 20

Step 2

Count backwards to arrange the numbers from biggest to smallest. Biggest to smallest 1

10 11 12 13 14 15 16 17 18 19 20

The biggest number (15) comes first and the smallest number (8) comes at the end. 15 sweets

10 sweets

8 sweets

Arrange the numbers 15, 6, 10 and 18 from biggest to smallest.

Example 15

Mark the numbers on strip and count backwards.

Biggest to smallest

10 11 12 13 14 15 16 17 18 19 20

We write the biggest number first and the smallest number at the end. 15, 10, 6, 18 = 18, 15, 10, 6 Do It Together

Arrange these numbers from biggest to smallest.

17, 11, 19, 10 19, ____, ____, 10

Do It Yourself 2H 1 1

10 11 12 13 14 15 16 17 18 19 20

7 to 3

18 to 14

9 to 5

1 to 4

Arrange the numbers from biggest to smallest. a

Use the number strip to write the numbers from biggest to smallest. a

Circle the numbers which are arranged from biggest to smallest. a

11, 13, 18

10, 15, 12

18, 10, 9

9, 17, 20

20, 13, 11

Match the following such that the numbers are arranged from biggest to smallest. a

20, ___, 18

17, ___, 15

13, ___, 11

3, ___, 1

4, ___ 2

16 3 12 19

In numbers from 15 to 11, 11 is the smallest number. Arrange the numbers from biggest to smallest.

Chapter 2 • Numbers up to 20

Points to Remember • 10 ones make 1 ten. • 0 means nothing. • The number after is 1 more than the given number. • The number before is 1 less than the given number. • For smallest to biggest, we start with the number that is smallest. • For biggest to smallest, we start with the number that is biggest.

Math Lab More or Less? Setting: In pairs Things required: Number cards from 1 to 20, 20 objects like pencils, crayons, beads, rajma seeds etc. What to do?

Play this game for 5 rounds.

Each pair will get a set of number cards.

The cards will be kept upside down.

Each student picks up one card.

Count and make the numbers with the help of the objects.

Who has more and less?

The child who gets more big numbers in 5 rounds wins!

Chapter Checkup 1

Match the pictures with the correct number of dots.

Complete the tables. a

3 7

14 17

Connect the dots by joining numbers from 1 to 20.

Count and write the numbers. a

Chapter 2 • Numbers up to 20

15 20

Colour the objects according to the given numbers. a

Count and write down the correct number. ____________ mangoes

____________ trees

Colour the objects and write their number names. a

Colour the object with the bigger number red and with the smaller number blue. a

Arrange the numbers from smallest to biggest and biggest to smallest. Smallest to biggest

Biggest to smallest

15, 10, 16 11, 15, 13 10 Monu is before Sonu. Tonu is after Sonu. Arrange in order. 42

3 Addition up to 10 Let's Recall We can count and write down the number of things. How many bananas are there? There are 5 bananas. 1

How many boys are there? How many girls are there?

There are 2 boys. There are 4 girls.

Let's Warm-up

Count and write the number of things. 1

____________ pineapples 2

____________ brushes

____________ cats 4

____________ crayons I scored ___________ out of 4.

Understanding Addition Pihu went to a fair with her mother. She bought a teddy bear.

Then Pihu got a ball.

So, Pihu has

and Pihu wants some more toys.

Counting Forward to Add Pihu: I want some more toys. Mother: Let us get them! Adding One Pihu bought a doll. and 2 toys

and

1 toy

3 toys

Pihu has 3 toys. Let us understand this with the help of a number strip. There were 2 dolls. We circle 2 on the number strip.

Remember!

Pihu got 1 more. So, we jump 1 step forward. 1 more

When we add 1, we always get 1 more. We get the number that lies after when we add 1.

1 more than 2 is 3. Example 1

Rohit has 4 pencils. He got one more. How many does he have? and

4 pencils and 1 pencil is 44

5 pencils.

1 more

1 Do It Together

There were 3 puppies in a basket. 1 more puppy was added. How many puppies are there in all?

and 3 puppies

and

1 puppy

is ______ puppies.

Adding More Than 1 We saw Pihu has 3 toys. Now she buys two more for her brother. How many does she have now?

3 toys

and

2 toys

make

5 toys

Pihu has 5 toys altogether. Let us see it on the number strip. Circle 3. Jump 2 steps forward. We reach 5. Example 2

2 more

Rohit and his 2 brothers have 4 crayon boxes. Their father got them 2 more boxes. How many crayon boxes are there altogether? and

4 crayon boxes + 2 crayon boxes make

6 crayon boxes

2 more

Chapter 3 • Addition up to 10

Rohit has 6 crayon boxes altogether. 45

Do It Together

There were 7 mangoes in a basket. 2 more were added to it. How many mangoes are there altogether?

and

7 mangoes and 2 mangoes are Writing Addition Sentences Let us write the addition sentence for 4 books and 3 books. and 4

is 3

Addition sentence is 4 + 3 = 7 Example 3

Look at the picture and add the two numbers.

and

4 Do It Together

Look at the picture and add the number of trees. Write the addition sentence.

and _______________

Addition Sentence _______________

_______________

Do It Yourself 3A 1

Add one to each of the things. a

and b

and

is _______________ is _______________

Add to find the total number of things. a

and

is _______________

and

is _______________

and

is _______________

Show the addition using a number strip. a

and

1 4

5 and

Find the total number of things. Write the addition sentence. a

and Addition sentence: _________________________.

is _______________

and Addition sentence: _________________________.

is _______________

and Addition sentence: _________________________.

is _______________

Chapter 3 • Addition up to 10

Add the following numbers. You can use the number strip. 2+5=

3+6=

1+2=

2+4=

2+3=

Addition Facts Pihu decided to go to the orchard to help her mother in picking apples. She will also help in adding the number of apples they pick. Pihu is excited! Let us help her in adding the number of fruits she picks. Adding Zero Mother: I have some apples in my basket. Pihu: I am unable to reach the apples. My basket is empty. Mother: You can count the number of apples in the basket. Pihu counts the apples in her mother’s basket as 1, 2, 3 and 4. Pihu: Mother, there are 4 apples in your basket. Pihu’s basket is empty. Mother: There are no apples in your basket. So, there are 0 apples. How to add this? and 4

is 0

Remember! When we add 0 to a number, we get the same number as the answer.

Remember!

0 means there is nothing.

Think and Tell

What will be the total if we add 0 and 4?

Example 4

Rohit has a box of pencils. He asks his father to buy him more. His father refuses to buy. How many does he have? and This box has no pencils

This box has 5 pencils 5 Do It Together

There were 2 bags with gifts. Bag with _________ gifts.

There are 5 pencils in =

Bag with 0 gifts.

and

Order in Addition Pihu had 3 apples in a basket and her mother had 5 apples in a basket. How many apples were there?

3 apples and 3

5 apples +

Now, if we change the order:

5 apples and 5

8 apples =

3 apples +

8 apples =

So, in both cases, the answer is the same. 3+5=8 Chapter 3 • Addition up to 10

5+3=8

The answer is the same. 49

Example 5

There are 3 monkeys on the tree. There are 2 monkeys under the tree. How many monkeys are there?

3+2=5

2+3=5

In both the cases, we get 5 as the answer. Do It Together

Remember! When you add, the number of things becomes more.

Sia had 4 sketch pens with her. Her sister gave her 3 more. How many sketch pens does she have altogether? is _________ sketch pens

and

_________ + _________ = _________ sketch pens Now, change the order. and

sketch pens 3 + _________ = _________ = _________ sketch pens

Addition Facts of Numbers Addition facts of a number are 2 addition sentences that give the same number as the answer. Addition facts of 1: 2 numbers that add up to give 1 as the answer

1+0=1

0+1=1

Did You Know? Each number has one more addition fact than the number itself.

We get 1 as the answer for both.

Addition facts of 3 + +

1+2=3

Example 6

2+1=3

We get 3 as the answer all the time.

0+3=3

Write down the addition facts of 4. + + +

Do It Together

3+0=2

4+0=4 3+1=4 1+3=4

2+2=4

0+4=4

Write down the addition facts of 5. +

5 + _____ = 5

4 + 1 = _____

_____ + 2 = 5

2 + 3 = _____

1 + _____ = 5

____ + ____ = 5

Do It Yourself 3B 1

Add the numbers.

Chapter 3 • Addition up to 10

_____________ 5

_____________

Sia had 3 apples in her bag. Her mother gave her 2 more. How many does she have now? +

Change the order. + 3

Add and check the answer. a 3 + 5 = _____

5 + 3 = _____ 5 + 2 = _____ 2 + 5 = _____

is _________

3 + 2 = _________

is _________

2 + 3 = _________

4 + 2 = _____

2 + 4 = _____ 4 + 5 = _____

5 + 4 = _____

2 + 6 = _____ 6 + 2 = _____ 3 + 1 = _____ 1 + 3 = _____

Write 3 addition facts of 6. Draw circles to show the numbers.

___ + ___ = ___

Leela has 4 pens. She needs 8 pens in total. How many more pens does she need?

4 + ______ = 8

Adding Numbers One day, Pihu and her mother bought 3 cupcakes from a cake shop. Her father got 3 more cupcakes from another shop. How many cupcakes are there? Let us see different ways to add.

and +

Let us learn other ways of adding.

Vertical Addition

This can also be shown by writing the numbers one below the other. 3 +

3 6

Do It Together

Add the numbers. __________ +3

__________

There are ________ trees in all.

Adding Three Numbers So far, we have learnt how to add two numbers. Now, we will learn how to add three numbers. 5 air balloons

7 air balloons

2 air balloons

1 air balloons

+ Add 7 and 1

8 air balloons Example 7

Find the total number of trees. 3 trees +

2 trees + 4 trees 9 trees

________

Do It Together

________

5 trees

Add 5 and 4

________

+ 3

________ Chapter 3 • Addition up to 10

Fun with Addition There are 2 oranges and 4 apples. How many fruits are there? Number of oranges

Number of apples

There are 6 fruits in all. Example 8

4 6

A girl had 2 red pencils and 3 blue pencils. How many pencils are there in all? 2 red pencils + 3 blue pencils = 5 pencils. Or

Number of red pencils =

Number of blue pencils = There are 5 pencils in all. Do It Together

+3 5

There are 5 girls and 3 boys playing in a park. How many children are there? Number of girls = ________ Number of boys = + 3 There are ________ children in the park.

Do It Yourself 3C 1

Add the numbers. a

4 +2

Add the given numbers. Add the first two numbers. Then add the sum to the third number. a

Add the numbers vertically. 3

+2 +1

Add by writing the numbers one below the other. a

4+1+3

1+2+6

Farhana had 2 blue ribbons, 3 red ribbons, and 1 green ribbon. How many ribbons did she have in all?

Word Problems 1

Rita bought 3 pens and 5 pencils. How many things did she buy?

Soham ate 2 mangoes and 2 apples. How many fruits did he eat?

Points to Remember •

+ sign is used to show addition.

•

Zero means nothing.

• • • • • •

When we add, the number of things becomes more. When we add 0 to a number, we get the same answer.

Changing the order of numbers in addition does not change the answer. Each number has one more addition fact than the number itself. We can add horizontally and vertically.

3 numbers can be added by adding the first 2 numbers and then adding the third number to the sum of the first 2 numbers.

Chapter 3 • Addition up to 10

Math Lab Roll the Dice Things required:

• 2 dice, 4 different coloured tokens. • A number strip with 1 – 10. Setting: Play in groups of 3. What to do? 1

2 3 4 5

Each group to keep one token on number 1 of the number strip. 2 children will roll the dice. If digits 5 or 6 appear on any of the dice, roll the dice again. The third child will add the two numbers.

If the number is more than 6 after addition, move the token 1 step ahead on the number strip. If the number is less than 6 after addition, do not move the token. The first group to reach 10 on the strip in the class, wins.

Chapter Checkup 1

Look at the pictures and add them. a

and

is __________.

and

is __________.

Look and the pictures. Fill in the blanks and add the numbers. a

_________ 56

is __________.

+ _________ = _________

_________ + _________ = _________

Use the number strip to add the numbers.

1+8=

7+1=

1+6=

2+4=

Fill in the blanks with the correct number.

4 + 0 = ____

7 + 1 = ____

9 + 0 = ____

____ + 1 = 8

3 + ____ = 3

Write if true or false.

3 + 0 = 3 _______ 3 + 2 = 5 and 2 + 3 = 5 _______

a c

b d

4 + 1 = 6 _______ 5 + 0 = 6 _______

Add the numbers.

+ 5

+ 2

+ 3

Which of these are addition facts of 6? Colour the boxes in blue.

6+0=6

4+3=7

4+4=8

6+1=7

1+5=6

4+2=6

3+3=6

1+6=7

6+3=9

Write 3 addition facts for 7 and 8.

Add the numbers. a

4+5+1=

7+1+2=

4+2+3=

5 + 1+ 3 =

1+4+2=

Meena has 3 books in her bag. Seema has 1 book in her bag. Tina has no book in her bag. How many books are there in all?

Word Problems 1

Mili got 6 sweets for a party. Rohan has 3 sweets. How many sweets are there with them?

Harshit has 5 pens. Megha gives him 3 more pens. How many pens are there with Harshit?

Chapter 3 • Addition up to 10

Subtraction up to 10

Let's Recall Let us count to find out more or less. 8

8 is more than 5.

7 is more than 3.

Let's Warm-up

Colour the things which are more in number. 1

I scored _________ out of 4.

Understanding Subtraction Real Life Connect

Soni is baking cookies for her friends.

Take away 1

She bakes 10 cookies. 1

Mona eats 1 cookie. Can you tell how many are left now?

Count Back to Subtract There were 10 cookies. Mona ate 1 cookie. 10 cookies, take away 1 cookie = 9 cookies left

When we take away any number of things, it is called subtraction. Subtracting One Let us find out how many cookies are left when 1 cookie is taken away. There were 10 cookies. Mona ate 1 cookie. We cross out 1 cookie. 1

9 cookies are left.

Take away 1

Let us subtract 1 from 10 on a number strip. 1

This can be written as:

10 – 1 = 9

Remember! Total number of things

Number of things taken away

Number of things left

When we subtract 1, we get the number before it.

A minus (–) sign is used to show subtraction. Chapter 4 • Subtraction up to 10

Example 1

There were 8 mangoes on a tree. 1 fell down. How many are left?

7 mangoes are left.

Example 2

Show 6 – 1 on a number strip. Let us subtract on a number strip. We start at 6 and move 1 step back. –1

We get 5. So, 6 – 1 = 5 Do It Together

4 children are playing. 1 child went home. How many children are playing now? Show it on the number strip.

______________ children are playing now. Subtracting the Number Before There are 7 oranges in a basket. Heena takes away 6 oranges. How many are left?

Remember! When we subtract the number before, we always get 1.

There is only 1 orange left now. Let’s subtract 6 from 7 on a number strip. 6

We start at the bigger number — 7. We count back 6 times. We get 1. 7–6=1 Take away 7 carrots from 8. How many are left?

Example 3

There are 8 carrots. We cross out 7 carrots. Only 1 carrot is left. Do It Together

Take away 5 pencils from 6. How many are left?

Remember! When we subtract, we move backwards on a number strip.

______ pencil is left. 6 – 5 = ______ Show 6 – 5 on the number strip.

Subtracting a Number From Itself There are 5 birds on a branch. All the birds flew away. No bird is left on the branch. Example 4

There are 4 seashells. Tina takes away all the seashells. How many are left?

Remember! When we take away the same number of things, we get 0.

There are 0 sea shells left. 4–4=0

Chapter 4 • Subtraction up to 10

Do It Together

There were butter ies in the garden. All of them ew away. butter ies are left in the garden

ow many

There are _____ butterflies left in the garden. 6 – 6 = _____

Do It Yourself 4A 1

Look how many things are taken away. Write how many are left. a

Cross out ( ) and show how many things are left. a

6–1

Subtract the number using the number train. a

7–1

6–5

Fill in the blank. a

4–3

____ – 4 = 0

5 – ____ = 0

7 – 7 = ____

9 – 9 = ____

Soham had 3 pencils. Rina took away 1 pencil from Soham. How many pencils are left with Soham?

Word Problem 1

There were 9 oranges on a tree. All the oranges fell down. How many oranges are left on the tree?

Subtraction Facts Soni has 7 cookies left.

Let us take away a different number of cookies from 7. Take away 1 cookie from 7. 6 cookies are left. Take away 2 cookies from 7. 5 cookies are left. Take away 3 cookies from 7. 4 cookies are left. Take away 4 cookies from 7. 3 cookies are left. Take away 5 cookies from 7. 2 cookies are left. Take away 6 cookies from 7. 1 cookies are left. Take away all the 7 cookies. There are no cookies left. Chapter 4 • Subtraction up to 10

Subtracting Zero There were 5 balloons. 0 balloons burst. How many are there? 5–0=5

Fact 1: When we subtract 0 from a number, the number itself is the answer. Do It Together

birds are sitting on a roof. one of them ew away. ow many are there

There are _____ birds left. 7 – 0 = ____ Subtraction Facts of Numbers Let us look at the subtraction facts of some numbers. Subtraction Facts of 1 1–0=1 1–1=0

Subtraction Facts of 2 2–0=2

Think and Tell

2–1=1

and add 1 more, how much

If we take away 1 from 3 do we get?

2–2=0

Subtraction Facts of 3

Subtraction Facts of 4

3–0=3

4–0=4

3–1=2

4–1=3

3–2=1

4–2=2

3–3=0

4–3=1 4–4=0

Example 5

Write 3 subtraction facts of 5. 5–0=5

5–1=4

5–2=3

Do It Together

Write 3 subtraction facts of 6. __________________ __________________ __________________

Do It Yourself 4B 1

There are 9 butterflies. How many will be left if 2 fly away?

There are 7 pears in a tree. They all fall down. How many pears are left on the tree?

Write the subtraction facts for the given picture. One has been done for you. a

7–1=6

Chapter 4 • Subtraction up to 10

Write the subtraction fact for 8 for the given pictures.

There are 6 tomatoes in a basket. 2 are rotten. How many tomatoes are good?

Word Problems 1

Bani has 8 flowers. She gives 6 flowers to her friend. How many flowers are left with Bani?

9 children are playing in a park. 5 children went home. How many children are left in the park?

Subtracting Numbers Mother bought 7 potatoes from the market.

She used 4 potatoes for cooking. How many potatoes are left? Vertical Subtraction We have to find 7 – 4: Step 1 Write the big number at the top and the small number below. Add a minus sign before the small number. The big number 66

–4

The small number

Step 2 Take away 4 from 7.

Error Alert!

Take away 4 potatoes from 7. We get: We can also write it as: 7 – 4 = 3 Example 6

In vertical subtraction, always write the big number at the top and small number below:

7 –4 3

4 –9 5

There are 8 balls. Take away 5 balls.

9 –4 5

8 Take away 5 balls from 8. We get: – 5 3 3 balls are left. Do It Together

Show 5 – 2 by crossing out the cars. 5 –2 There are ______ cars left. Subtraction Fun Soni bought 5 books. She gave 2 books to her brother. How many are left? Number of books Soni bought = 5 Number of books she gave away = 2 Books Soni has left:

Take away 2 books from 5. We get: Soni is left with 3 books.

Chapter 4 • Subtraction up to 10

5 –2 3

Example 7

Ramesh has 7 toys. He gave away 5 toys to his sister. How many toys are left with Ramesh?

7 Take away 5 toys from 7. We get: – 5 2 Ramesh has 2 toys left. Do It Together

Priya had 8 balloons. 4 balloons burst. How many balloons are left with Priya? Number of balloons with Priya = ______ Number of balloons burst = 4 Number of balloons Priya had left:

8 –4

Priya has ______ balloons left.

Do It Yourself 4C 1

Subtract to find out how many are left.

5 –1 ____

There are engines. Look at the picture and subtract.

9 –5 ____

9 –7

9 –5

9 –0

Match the picture with the correct subtraction fact. a

7–4=3

4–3=1

5–2=3

6–2=4

There are 8 bugs. Choose the correct subtraction sentence.

8–0=8 5

8–4=4

8–3=5

8–2=6

There are 9 bicycles. Rohit takes away 1 bicycle. Sam takes away 1 bicycle. How many are left?

Word Problems 1

Trisha has 7 cups. She gives 4 cups to Tina. How many cups are left with Trisha?

Meera has 9 kites. She gives 5 kites to Mita. How many kites are left with Meera?

Chapter 4 • Subtraction up to 10

Points to Remember • • • • • •

When we subtract, the number of things becomes less. The minus (–) sign is used to show subtraction. We always subtract the smaller number from the bigger number. When we subtract the number before, we get 1. For example, 3 – 2 = 1 When we subtract 0 from any number, we get the same number. For example, 6 – 0 = 6 When we subtract the same number, we get 0. For example, 7 – 7 = 0

Math Lab How Many Are Left? Things Needed:

• •

Any 10 things like crayons, pencils or chalks Number chits of 1 – 9

Setting: 3 children in a group. What to do? 1

Play this for 3 rounds.

Child 1 takes the same number of things as written in the chit.

2 4 5 6

Child 1 and Child 2 pick up a chit each.

Child 2 takes the same number of things as written in his chit back from Child 1. Child 3 finds out how many things are left with Child 1.

Each child should get the chance to pick the number of things.

Chapter Checkup 1

Look at the picture. Circle the correct subtraction sentence. a

7–3=3

6–3=3

3–6=3

8–4=3

8–5=3

8–3=3

7–2=2

7–4=2

7–5=2

Match the picture with the correct subtraction fact. a

8–4=4 b

8–7=1 c

8–3=5 d

8–8=0

Tick ( ) the subtraction fact(s) that is correct. a

5–5=1

8–7=1

5–5=0

Solve.

7 –3

9 –5

8 –5

Look at the picture. Cross out to show the answer. Fill in the blanks. a

6 lemons. Take away 5. ____ left.

Chapter 4 • Subtraction up to 10

6 lemons. Take away 2. ____ left.

Subtract and fill in the blanks.

7 – ____ = 3

____ – 0 = 6

Cross out ( ) the bananas to write down the subtraction facts for 9.

9 – 1 = ____

9 – 3 = ____

Subtract using the number train.

9 – 3 = ___________ 9

Cross out the cushions to solve. Circle the correct answer. 5

7–3

6–5 10

Look at the pictures. Write the subtraction fact. a

Word Problems 1 2

Rohan has 7 cups. He gives 2 cups to Rina. How many cups are left with Rohan? Preeti has 7 crayons. She gives 3 crayons to Nidhi. She gives 1 crayon to Neeta. How many pencils does Preeti have now?

S ap

and a

Let's Recall We see different things around us. Some are big and some are small.

A cake is BIG.

A pastry is small.

An elephant is BIG.

A chick is small.

Let's Warm-up

Tick ( ) the box below the BIG thing. 1

I scored _________ out of 5.

All About Shapes Real Life Connect

Mini’s mother baked some cookies. Mini: Wow, Mummy! These cookies look so different. Mummy: Yes Mini! I baked them in different shapes and sizes. Mimi: Different shapes? Different sizes? What is that? Let us learn about different shapes and sizes with Mini.

Shape and Size Here are the cookies of different shapes and sizes.

Some cookies are BIG and some are small. They are of different sizes. Different Shapes Now let us learn the names of different shapes.

square Example 1

Triangle

Rectangle

Square

Triangle

Write the name of the shape.

Circle

Rectangle

Do It Together

Trace the shapes. Write the name of the shape in the box.

Same Shapes Look at some things that have the same shape.

Example 2

Do It Together

Tick ( ) the box for things that have the shape of a CIRCLE.

Colour all the squares.

Do It Yourself 5A 1

Name the shape. a

Trace dots to draw the shape. a

Chapter 5 • Shapes and Patterns

Colour the shapes as given. Triangle – yellow

Rectangle - blue

Square – red

Tick ( ) the correct shape of the given thing. One has been done for you. a

Match the same shapes of the same size.

Word Problem 1

Circle – pink

Heena drew this picture. a

Which shapes did she use to make the tree?

Which shapes did she use to make the roof?

Which shape has she NOT used — circle or square?

Straight Lines and Curved lines Mini goes to a garden. There are two paths to walk on. These paths look different from each other. Let me tell you how.

Straight Lines This path is like a straight line. These are some straight lines:

Example 3

How many straight lines do you see in the shapes?

4 straight lines Do It Together

3 straight lines

2 straight lines

1 straight lines

Join the dots to take the cars to the parking lot.

Curved Lines This path is like a curved line.

Chapter 5 • Shapes and Patterns

Example 4

Do It Together

Circle the curved lines.

Join the dots to draw curved and straight lines.

Do It Yourself 5B 1

Write S if the line is straight. Write C if the line is curved. a

Join the dots to draw straight lines.

Join the dots to draw curved lines.

Circle the shapes that are made ONLY with STRAIGHT lines.

Read the word: FUNNY Write if True or False. a

U is a curve.

Y has a curved line.

F has 3 straight lines.

N has 1 curved line and 2 straight lines.

Word Problem 1

Help the dog reach the boy. Draw the lines on the path.

Did you draw curved lines or straight lines?

Shapes Around Us Real Life Connect

Milli is playing with her blocks. Milli: I have blocks in so many shapes. Some look like circles and some look like triangles.

Chapter 5 • Shapes and Patterns

Solid Shapes These are some of the blocks. We can hold them. They have a shape. These are called solid shapes. Solid Shapes

Cube

Cuboid

Cone

Cylinder

Sorting Solid Shapes Many things have same solid shapes around us.

Example 5

Cross out ( ) the odd solid shape. 1

Do It Together

Circle the solid shape that matches the shape of the object.

Sphere

Rolling and Sliding Some solid shapes roll and some slide. A sphere can roll.

A cube and a cuboid can slide.

Remember! A cylinder can both roll and slide.

Sliding

Example 6

Do It Together

Things around us are solid shapes. We can touch and hold them.

Rolling

Circle the objects that can roll.

Tick ( ) if the object will roll, slide or both roll and slide. Object Roll

Slide

Chapter 5 • Shapes and Patterns

Do It Yourself 5C 1

Look at the picture. Write the shapes of the things marked. b

Name the shapes as cube, cuboid, cylinder, sphere, or cone.

Ball

Box

Book

Look at the objects on the slide. Tick ( ) the ones that rolled down.

Colour the things that slide.

Look at the fallen cone. Will it roll or slide?

Bottle

Birthday cap

Word Problem 1

Nita buys many candles for Diwali What are their solid shapes?

Candle 1

Candle 2

Candle 3

Patterns Real Life Connect

Milli’s mother buys a sari. Milli: Maa, this is pretty. Maa: Yes, Milli. I really like the pattern on it. Milli: What is a pattern?

Repeating Patterns Look at the saree again. Can you see that some designs repeat themselves on this saree? We can see red and blue triangles repeating as red, blue, red, blue. Let us see one more pattern.

Remember! Patterns are formed with repeated shapes or colours. Example 7

Which line shows a pattern? Line 1: Line 2: Line 1 shows a pattern. The yellow circle and blue triangles are repeated in Line 1. Chapter 5 • Shapes and Patterns

Example 8

Complete the given pattern.

Think and Tell

Do you think day and night have a pattern?

Here, the number of triangles are increasing as 1 triangle, 2 triangles, 3 triangles, 4 triangles, 5 triangles, 6 triangles.

1 Do It Together

Colour the next shapes to complete the pattern.

Do It Yourself 5D 1

Which of these is NOT a pattern? Picture 1: Picture 2:

Which of these shapes form a pattern? a

Look at the patterns. Write if True or False. a

It is a pattern with circles and rectangles. b

This pattern is made using only circles. 4

Colour the next shapes to complete the patterns. a

Draw and colour the missing shapes to complete the patterns. a

Chapter 5 • Shapes and Patterns

Word Problem Niru buys 2 scarfs. Look at their designs.

Which scarf has a pattern on it?

Number Patterns Milli knows how to make patterns now. She has some number cards. She is trying to make a pattern with them. See how she places the cards.

Number Number flash Number flash Number cards cards flash Number flash Number cards cards flash flash cards cards One Two Two OneThree OneThreeTwo

Three Three

TheFour numbers 1 and This is Six a number pattern. Four Five Five 2 Fourare SixFourrepeating. Six FiveSeven FiveSeven Four SixFour FiveSeven FiveSeven Six Six

Seven Seven

Zero

Two Two Zero Two One One One Zero

Zero

One Two Zero Two Zero Two OneThree OneThree

00 1 1020213130202131322 33 Example 9

44 55464657574646575766 77

Which is the correct number pattern? Pattern A

Eight Eight

Nine

Nine Eight Ten Eight Ten

Pattern B

NineEleven NineEleven Eight Ten Eight Ten

NineEleven NineEleven Ten

Pattern C

Ten

Eleven Eleven

88 99810 810911 911 810 810911 91110101111

Pattern B is the correct number pattern. Do It Together

Complete the given number patterns. 1

Error Alert! Patterns always repeats itself!

1 21 1 2-

121212-

Do It Yourself 5E 1

Tick ( ) the correct number patterns. a

4, 5, 4, 5, 4, 5

6, 8, 7, 6, 7, 8

3, 4, 3, 4, 3, 4

Circle the next number in the pattern. One is done for you. a

__________________

Fill the next 2 numbers in the pattern. a

4 5 6 4 5 6 4 _________ _________

1 7 1 7 1 7 1 _________ _________

3 4 5 3 4 5 3 _________ _________

2 8 2 8 2 8 2 _________ _________

Fill the missing numbers to complete the pattern. a

2 ____ 1 2 1 1 2

____ 12 11 ____ 11 12

Write a pattern with the numbers given. One has been done for you. a

0 and 1

2 and 3

Word Problem 1

Rehaan placed some cards in this way. Do you see a pattern in these cards?

Chapter 5 • Shapes and Patterns

Points to Remember •

We see different shapes – circle, square, rectangle and triangle.

•

Cube, cuboid, sphere, cone and cylinder are solid shapes.

• • • •

Things can have the same shape but different sizes.

Solid shapes can roll or slide. A cylinder can both roll and slide. A pattern will have shapes or colours that repeat.

We can make patterns with numbers as well. For example, 0 1 2 0 1 2 0 1 2

Math Lab Drawing Shapes! Let’s draw

Things required: Objects of solid shapes, white drawing paper Setting: Groups of 5 What to do? 1 2 3 4 5

Each child takes one object with them. Look at the objects in the group.

Place the objects on paper and trace them. Discuss the shapes that you see on paper.

Do you see more than one shape in any object?

Chapter Checkup 1

Look at the picture. Count and write the number of shapes. a b c d

Square

Triangles Circles

Rectangles

Cross ( ) out the odd shape. a

Carrom

Which of these numbers are made with both straight and curved lines?

Colour the pictures with ONLY curved lines.

Match the solid shapes with their correct names.

Cuboid 6

Cone

Cylinder

Cube

Colour the correct solid shape of the object. a

Chapter 5 • Shapes and Patterns

Write if true or false.

This pencil box can roll.

This speaker can slide.

What comes next in the pattern? Circle it.

____________________ ____________________ ____________________ Complete the number patterns.

2, 3, 4, 2, 3, 4, ____, ____, ____

10, 9, 8, 10, 9, 8, ____, ____, ____

1, 3, 5, 1 ,3, 5, ____, ____, ____

10, 8, 6, 10, 8, 6, ____, ____, ____

Look at the picture. Draw the next 2 parts of the pattern.

Word Problem 1

Look at the book. Raj puts 4 such books one on top of the other. What solid shape will they make?

Addition and Subtraction up to 0

Let's Recall Imagine you are in a garden. There are 2 blue flowers. There are 2 yellow flowers. How many flowers are there? and

are equal to

2 flowers + 2 flowers = 4 flowers 2+2=4 We add two numbers. This is called addition. There are 5 flowers. Jay takes away 2 flowers. How many flowers are there? is equal to 5–2=

Taking away is called subtraction.

Let's Warm-up Match the picture with the addition or subtraction sentence. 1

–

5–1=4 6–3=3 3–2=1 3+2=5 1+1=2 I scored ___________ out of 5.

Let’s Add Real Life Connect

Raju’s and Sanju’s mother bought some fruits. Hi, Sanju! Mother bought 5 bananas. Yes Raju! She also bought 8 apples. How many apples and bananas do we have altogether?

Adding Beyond 10 Let us help Raju and Sanju find out the total number of fruits. Put all the fruits together. + 8+5=?

8 apples

5 bananas

Let us find out! Counting Forward to Add Start from number 8. Count 5 numbers forward. We reach 13. 1

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

8 + 5 = 13. So, Raju and Sanju have 13 apples and bananas altogether.

Remember! We get a bigger number when we count forward to add.

Example 1

There are 7 monkeys on a tree. 4 more join them. How many monkeys are on the tree in total? Start from 7. Count 4 numbers forward. We will reach 11. 1

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

7 + 4 = 11. So, there are 11 monkeys altogether. Do It Together

You have 9 erasers. Your friend has 6 erasers. How many erasers are there altogether? Show on the number line. Start from _____. Count _____ numbers forward.

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

We reach _____. 9 + 6 = _____. There are _____ erasers in total. Making 10 to Add Raju has 7 umbrellas. Sanju has 6 umbrellas. How many umbrellas do they have altogether? Let us make a group of 10 to add! Step 1: Make a group of 10. Step 2: Count the umbrellas left.

Raju Sanju

Step 3: Add 10 and the number of umbrellas left. 10 + 3 = 13 Chapter 6 • Addition and Subtraction up to 20

10 umbrellas

3 umbrellas

Example 2

Adi has 8 oranges. Om has 7 apples. How many oranges and apples do they have? Step 1: Put 10 fruits in one group. Step 2: Count the fruits left.

Step 3: Add 10 fruits and 5 fruits

Adi Om

10 + 5 = 15

5 left

So, they have 15 fruits.

Remember!

Think and Tell

The sum is bigger than the numbers added. For example: 10 + 5 = 15 15 is bigger than 10 and 5.

Can you add 2 numbers only by using your fingers?

Do It Together

There are 9 fallen leaves. 5 more leaves fall. How many leaves have fallen in total? Add ____ leaves + ____ leaves 10 + ____ = ____ leaves There are ____ fallen leaves in total.

Do It Yourself 6A 1

Count and add. a

+ ___________________

___________________

___________________ 94

Count and add. a

9+3

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

8+4

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Add and match with the correct answer. a

9+6

8+6

Circle to make a group of 10 to add. Fill in the blanks and write the answer. a

10 + ___ = ___

Make 10 and add. Write the answer. a

9 + 8 = ______

Chapter 6 • Addition and Subtraction up to 20

5 + 8 = ______

5 + 5 = ______ 95

Word Problems 1

There are 9 girls and 5 boys in a park. How many children are there?

A box has 7 white balls and 3 black balls. How many balls are there?

Vertical Addition

How many clips do I have now?

Jiya has 13 clips. Her father bought 5 more clips. How can we help Jiya find the total number of clips? Adding 2-digit and 1-digit Numbers

We can write the numbers one below the other and add. Let us add 13 clips and 5 clips. Step 1: Write the numbers as tens and ones. Step 2: We add the ones. Write below the ones. Step 3: Bring down the tens. Step 4: Count the clips to check your answer. Tens One +

So, Jiya has 18 clips. Example 3

Add 14 and 5.

Do It Together

Add 15 and 2. Draw lines to complete the ﬁgure.

Tens One +

14 + 5 = 19 96

Tens One +

So, 15 + 2 = _______.

Story Problems on Addition Sarah has 14 keys. She finds 5 more keys. How many keys does she have now? 14 + 5 = 19. So, Sarah has 19 keys. Tens One +

Example 4

Meena has 15 strawberries. Seema has 1 strawberry. How many strawberries do they have altogether? 1 box = 10 strawberries Tens One +

15 + 1 = 16. So, they have 16 strawberries altogether. Do It Together

At a supermarket, there are 11 male workers and 5 female workers. How many workers are there altogether? Tens One +

1 5

____ + ____ = ____ So, there are ____ workers at the supermarket.

Chapter 6 • Addition and Subtraction up to 20

Do It Yourself 6B 1

Count and add. a

and

______ + ______ = ______

and

and ______ + ______ = ______ 2

______ + ______ = ______

Look at the number of balloons. Add to find the total. 10 balloons = 1 bunch a

Tens One 1

Tens One +

Add by writing the numbers one below the other. a

Add. a

Tens One +

11 + 7

13 + 6

12 + 7

There are 12 mangoes on a tree. How many will be there if 5 more mangoes grow?

Misty read 13 pages on Monday. She reads 7 more pages on Tuesday. How many pages did she read in total?

Word Problem 1

Mili had 7 books. Mina gave her 5 more books. How many books does Mili have now?

Let’s Subtract Real Life Connect

Sanju has 15 pencils. He gives 5 pencils to Ahan. How many pencils are left with Sanju?

Subtracting Numbers up to 20

15 pencils

5 pencils

Taking Away We can cross out things to subtract. 15 pencils. Take away 5 pencils. 10 pencils are left. Example 5

There are 17 cups in the kitchen. Jack uses 5 cups. How many cups are left unused? 17 cups. Cross out 5 cups. 12 cups are left.

Chapter 6 • Addition and Subtraction up to 20

Do It Together

There are 18 pens on a table. A student takes 8 pens. How many pens are left 18 pens. Cross out ____ pens. ____ pens are left.

Counting Back to Subtract We can also subtract by counting backwards on a number strip. Let‘s subtract 5 from 15. Start from 15. Count backwards 5 times. 5

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

We reach the number 10. 15 – 5 = 10 Example 6

Remember! The number left after subtraction is called the difference.

A room was decorated with 17 balloons. 6 balloons burst. How many balloons are left? Show the answer on the number line. Count backwards 6 times. 6

2 1

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

We reach the number 11. 17 – 6 = 11 So, there are 11 balloons left. 100

Do It Together

Sarah had 14 keys. She lost 6 keys. How many keys does she have now? Count backwards 7 times.

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

We reach the number _____. 14 – 6 = _____ So, there are _____ keys left.

Vertical Subtraction We can also subtract by writing the numbers one below the other. Let us subtract 2 from 16. Step 1: Write the numbers one below the other.

Error Alert! Never write a bigger number below a smaller number.

Step 2: Subtract the ones. 6 – 2 = 4 Step 3: Bring down the tens.

–

Tens One –

9 8

–

So, 16 – 2 = 14 Example 7

Subtract 6 from 17. Tens One –

So, 17 – 6 = 11. Chapter 6 • Addition and Subtraction up to 20

Do It Together

Subtract: 18 – 5. Cross out lines to show the answer. Tens One –

So, 18 – 5 = _______ 101

Story Sums on Subtraction Siya has 19 toy cars. She gave 5 toy cars to her brother. How many toy cars are left with Siya?

Remember! Addition is the opposite of subtraction.

Tens One –

19 – 5 = 14. So, Siya has 14 toy cars left. Example 8

There are 17 apples in a basket. 7 apples are green. How many red apples are there in the basket?

Do It Together

Shelly has 19 oranges. She gives 7 oranges to Isha. How many oranges are left with Shelly?

Tens One –

There are 10 red apples in the basket.

Tens One –

19 – 7 = ___________ So, Shelley has ______ oranges left.

Do It Yourself 6C 1

Take away to subtract. a

16 – 6

12 – 7

11 – 3

Count backwards and subtract. a

12 – 3

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

102

18 – 6

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Subtract the numbers. Cross out the lines to show the answer. a

Tens One –

5 5

Tens One –

Tens One

6 4

–

There are 16 flowers in a garden. 6 flowers are blue. The other flowers are yellow. Find the number of yellow flowers.

There are 18 teddy bears in a shop. 5 teddy bears are sold. How many teddy bears are left?

Word Problems 1

Rama has 18 candies. She gives 5 to Sanya. How many candies are left with Rama?

2 1

Ashish has 16 pencils. 4 pencils broke. How many pencils are left with him?

3 1

15 butterflies were sitting on flowers. 5 flew away. 2 more butterflies fly away. How many butterflies are on the flowers now?

Chapter 6 • Addition and Subtraction up to 20

103

Points to Remember • When we put more things in a group of things, it is addition. • ‘+’ is a plus sign. It is used for addition.

• When we take away things from a group of things, it is subtraction. • ‘–’ is a minus sign. It is used for subtraction.

• Addition and subtraction are the opposite of each other.

Math Lab Setting: Groups of 4 Materials: Number cards from 1–20, 2 boxes, pencils and sheets of paper What to do?

Put number cards from 1-9 in one box. Put the cards from 10–20 in the other box.

Each member of the group will pick one card from both boxes. Two members will add the numbers. The other two members will subtract the numbers.

2 3

Pass your cards to the next member. Repeat the addition and subtraction. Check your answers in the group.

4 5

Chapter Checkup 1

Count forward to add. a

and

Add. a

Tens One +

104

3 4

Tens One +

7 2

Tens One +

Add 13 and 6. Draw lines to show addition.

Add. a

Count backwards and subtract. 19 – 9

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Subtract. Cross out the lines to show the answer. a

–

How many balls should be crossed out ( ) so that only 9 balls are left?

How many apples should be taken away to get 7 apples? Cross out and show.

13 apples – ______ apples = 7 apples

Chapter 6 • Addition and Subtraction up to 20

105

Add me or subtract me from 12, the result will be the same. Who am I? = 12 and

= 8. Find the answer. = _______

= _______

Word Problems

106

There are 16 balls in a basket. A child takes away 3 balls. How many balls are left?

There are 18 peaches on a tree. 6 peaches fall down. How many peaches are left on the tree?

20 birds are sitting on a wall. 8 birds fly away. How many birds are sitting now?

Numbers up to 50

Let's Recall We know numbers up to 20. We also learnt their names.

one

eleven

two

three

four

twelve

thirteen

fourteen

five

six

seven

eight

nine

sixteen

seventeen

eighteen

nineteen

fifteen

ten

twenty

We know how to make bundles of tens. = 10 sticks

1 bundle = 1 ten = 20 sticks

2 bundles = 2 tens

Let's Warm-up

Match the numbers with their number names. Numbers

Number Names

sixteen

eight

six

ten

eighteen

I scored _________ out of 5.

Numbers from 21 to 50 Real Life Connect

Aunt Simmi is 50 years old today! Roy and his sister Jenny are decorating for the party! Jenny: Roy, we should put something 50. What can it be? Roy: We cannot put 50 candles on the cake! Jenny: We cannot blow 50 balloons so fast! Roy: I know! And we can do this fast! Let us put more bunting - a total of 50 flags. Jenny: How many flags do we need?

Making Tens up to 50 Let us count. 10 flags = 1 bunting

1 ten

10 ten

2 tens

20 twenty

3 tens

30 thirty

4 tens

40 forty

5 tens

50 fifty

2 strings of bunting

3 strings of bunting

4 strings of bunting

Put 5 strings of bunting.

108

One box has 10 crayons.

Example 1

There are 3 boxes. How many tens are there? 1 box = 1 ten

3 boxes = 3 tens

10 crayons

30 crayons

10 sticks make 1 bundle.

Example 2

Count and write the tens. 1 bundle = 1 ten

So, 4 bundles = 4 tens Do It Together

4 tens 40 sticks

10 sticks = 1 bundle = 1 ten. Write the tens these bundles make. Write the numbers of sticks. = _______ tens

= _______ sticks

= _______ tens = _______ sticks

Do It Yourself 7A 1

10 straws = 1 bundle = 1 ten. Write the tens these bundles make. a

1 bundle of wood = 1 ten. Match the bundles with the tens they make. a

4 tens 5 tens 3 tens

10 sweets = 1 box = 1 ten. How many tens do these boxes make? How many sweets are there?

Chapter 7 • Numbers up to 50

109

Colour the bundles to make the given tens. a

3 tens

5 tens

Colour 20 flags of the bunting. How many tens do they make?

Word Problem 1

Rima has 30 sticks. How many more sticks does she need to make 5 tens? HINT:

1 ten = 1 bundle = 10 sticks.

Writing Numbers Roy and Jenny get 5 strings of bunting with 50 flags. 1 flag shows 1 birthday of aunt Simmi! Jenny! How will aunt Simmi know that there are 50 flags?

Read the numbers Jenny writes on the flags. 2

These are 50 flags. 110

That is easy! I can write numbers on the flags with my colour pens.

Counting Forward and Backwards Read the numbers on the flags again. Read them this way: Counting FORWARD

Example 3

rite ﬁ e numbers forward from 21. 21

Counting BACKWARD

rite ﬁ e numbers bac ward from 26.

rite the missing numbers.

Do It Together

Count forward. Fill in the missing numbers. 1

9 10

Count backward. Fill in the missing numbers. 30

30 25

Do It Yourself 7B 1

Tick() the numbers that show forward counting. a

5, 6, 7, 8, 9, 10.

20, 19, 18, 17, 16, 15

25, 26, 27, 28, 29, 30

40, 39, 38, 37, 36, 35

Write the numbers forward. a

Chapter 7 • Numbers up to 50

111

Write the numbers backward. a

Fill in the missing numbers on the squirrel’s way.

See the colour of the boxes with missing numbers. Fill in the same colour under the numbers that can fit in the boxes. 41

45 48

Rupa puts number cards in a line like this. 15

Missing Numbers

Color the box

Word Problem 1

Amit puts them in a line like this: a

Who had put the cards to show numbers backward?

Write the numbers that show forward counting.

Tens and Ones The decoration is done. Roy and Jenny are all set for the party. Jenny! We forgot to put out snacks for the guests.

112

Oh! Let me get some cookies.

We put 10 cookies in each bowl. 10 cookies = 1 bowl = 1 ten. 20 cookies = 2 bowls = 2 tens Count some more cookies and check their numbers.

3 tens

4 one

2 tens 26

5 tens

2 one

3 tens

52 balloons

Example 4

bunch

6 one

1 one 31

ten.

rite the tens and ones of the balloons.

3 tens

3 ones

4 tens 0 Ones

10 sticks = 1 bundle

Do It Together

Count and write tens and ones. Then write the number they ma e together. 1

3 tens

____ one

Chapter 7 • Numbers up to 50

____ tens

____ one

113

Do It Yourself 7C 1

Match the bundles and sticks with the tens and ones. Tens

Ones

10 apples = 1 basket = 1 ten. Write the tens and ones.

10 marbles = 1 bag = 1 ten. Write the number of marbles. a

Write the tens and ones in the given numbers. a

114

Tens

Ones

Tens

Look at the bundles of 10. How many such bundles do you need to add to make 60?

Ones

Word Problem 1

A balloon seller ties 10 balloons in 1 bunch. Count the bunches and balloons. How many balloons does he have altogether?

Number Names Roy and Jenny wait for Aunt Simmi to start the party. 31

twentytwo

twentythree

twentyfour

twentyfive

twentysix

twentyseven

twentyeight

twentynine

thirty

thirtyone

thirtytwo

thirtythree

thirtyfour

thirtyfive

thirtysix

thirtyseven

thirtyeight

thirtynine

forty

fortyone

fortytwo

fortythree

fortyfour

fortyfive

forty-six

fortyseven

fortyeight

fortynine

fifty

32 42

33 43

34 44

35 45

36 46

Read the number names.

Do It Together

twentyone

Example 5

Roy, we can use number names to read these numbers.

Jenny! How can we read these numbers?

22 – twenty-two

33 – thirty-three

44 – forty-four

55 – fifty-five

37 47

38 48

Think and Tell 41 is forty-one. Can you read 51 in the same way?

rite the number names. 24 – twenty-_________________

37 – thirty-_________________

49 – _________________

25 –_________________

Chapter 7 • Numbers up to 50

115

Do It Yourself 7D 1

Circle the correct name of the number 26.

Match the numbers with their names. thirty-five a 23 forty-six b 35 fifty c 46 twenty-three d 50

Tick () if the number name is correct. Put a cross ( ) if it is wrong.

two-six

a c

twenty-one

45 – forty-five

21– one-two

twenty-six

34 – forty-three 39 – thirty-nine

Write the number names for the given numbers. a

twenty-five

Write any 5 number names that these words can make. twenty

forty

two

six

seven

Word Problem 1

Roy looks at the numbers on the birthday candles. He writes its name on a card – FIVETY. Is this name for 50 correct? If not, can you help him correct it?

Comparing Numbers Roy and Jenny are looking at the numbers. Roy! Look the number 21 comes before 22. 21 116

Yes Jenny! And the number 30 comes after 29. 25

24 comes BEFORE 25. 21

26 comes AFTER 25.

25 comes BETWEEN 24 and 26.

We count forward for bigger numbers. We count backwards for smaller numbers. Bigger than 25 21

Smaller than 25

rite

Example 6

numbers bigger than

29 and 30 Example 7

Arrange these numbers from biggest to smallest

50, 49, 44, 42, 40 Do It Together

Check the number chart. Fill in the numbers.

Do It Yourself 7E 1

Fill in the number train.

Chapter 7 • Numbers up to 50

117

Fill in the numbers that come BEFORE. 28

Write 2 numbers bigger than 36.

Write 2 numbers smaller than 47.

Circle the number that fits in BETWEEN the given numbers. a

Word Problem 1

Rima’s Dad is 35 years old. Her mom is 37 years old. Whose age is the bigger number – Dad’s or Mom’s?

Points to Remember

118

•

10 ones = 1 ten.

•

We learnt numbers from 21 to 50.

•

We can read and write numbers forward – 21, 22, 23.

•

We can read and write number backward – 23, 22, 21.

•

A number can be written as tens and ones. For example, 25 is 2 tens and 5 ones.

•

Every number has a name. For example, 37 is thirty-seven and 40 is forty.

•

The number before is one less than the number.

•

The number after is one more than the number.

Math Lab “In My Bag” Setting: In pairs

Material: Each partner’s school bag. What to do? 1 2 3 4 5 6

Take your partner’s bag. Count the number of things in it.

Does your partner’s bag have more or less than 20 things?

Ask your partner about the number of things he/she finds in your bag. Does your bag have more or less than 20 things?

Whose bag has more things – your or your partner’s? Discuss and share with each other.

Chapter Checkup 1

1 bundle of sticks = 1 ten. Fill in the tens these bundles make. a

____________ tens

Match the bundles of 10 with the correct number. a

32 33 45

32 50 31

Fill in the numbers by counting backwards. a

Chapter 7 • Numbers up to 50

34 35

22 36

119

Count forward and fill in the missing numbers. a

41 45

26 30 5

1 box = 10 sweets. Write the tens and ones. a

_______ tens _______ ones 6

_______ tens _______ ones

1 box = 10 crayons. Write the number of crayons. a

Fill in the blanks to complete the number names. a

22 – ____________-two

27 – ____________-seven

32 – thirty-____________

35 – thirty-____________

Write the number names for the given numbers. a

Arrange the numbers from smaller to bigger. 26

120

Fill in the numbers that come before and after. a

Word Problems 1

Minu’s uncle gave her 2 boxes of colours. Each box has 10 colours. How many tens do these boxes make?

Raji buys many candles for a festival. Each pack has 10 candles and some are loose. How many candles are there altogether?

Chapter 7 • Numbers up to 50

121

Measurement

Let's Recall We compare things to understand which things are long or short, heavy or light, or thick or thin.

Long Short

Heavy

Light

Thick

Thin

Let's Warm-up

Pick words from the box. Fill in the blanks. 1

thick

__________ book

thin

long

short

__________ hair

I scored _________ out of 4.

Comparing Lengths Real Life Connect

Rahul and Raj were discussing the size of their pencils. Raj: I have a longer pencil. Rahul: No Raj, I have a longer pencil. Let us put the pencils side by side and then see. Raj’s pencil

Shorter

Rahul’s pencil

Longer

Rahul has a longer pencil than Raj. We compared the pencils by putting them side by side.

Error Alert!

Now, Sara also wants to see if her pencil is longer or shorter. Let us compare the 3 pencils. Raj's pencil

Shortest

Rahul's pencil Longest

Sara's pencil

Measuring and Comparing Lengths We can compare the lengths of different things to find which is shorter, longer, shortest, or longest. We can compare heights to find the taller, tallest, shorter, or shortest thing. Sara wants to know who is the tallest in her family. Sara: Who is the tallest?

Tall Chapter 8 • Measurement

Taller

Tallest 123

Raj, Rahul and Sana cut strips of paper out to make a design. They were discussing whose strip is the longest. Sara: Let us compare them. Sara's strip

Shortest

Rahul's strip Raj's strip

Longest

Raj cut the longest strip of paper. Let us see more examples of comparing things. How can we compare lengths of things which we cannot put side by side? Let us see. Using Body Parts to Measure Length We can measure lengths of bigger things using smaller things like erasers, pencils and crayons. We can also measure lengths using our body parts. Raj wants to measure the length of his window and table. He uses his pencil.

Length of table = 3 pencils

So, the window is longer than the table. Error Alert!

124

Length of window = 4 pencils

We can use our body parts to measure lengths of things.

Finger

Handspan

Cubit

Feet

Pace

Let us see more examples of comparing lengths.

Length of carpet = 8 footspans

Length of table = 8 handspans

Can we compare the lengths of the carpet and the table? No, we should use the same body part to measure each of them. Let us measure the length of the carpet using handspans. The length of the carpet is 9 handspans. So, the carpet is longer than the table. Example 1

Tick () the tallest lamp post?

 Example 2

Which body part will you use to measure the length of given things? 1

Eraser – finger

Geometery box – handspan

Bed – cubit

Wall of room – feet/handspan

Distance from your room to kitchen – pace

Kite – handspan

Chapter 8 • Measurement

125

easure the length of these lines using your ﬁngers. Compare the lengths.

Do It Together

Line A

Line B

Line C

_________

Line _________ is the longest.

Line _________ is the shortest.

Do It Yourself 8A 1

Which of these is taller? Circle it. a

Cross out ( ) the shorter thing. a b

Tick the longest thing. a

126

Write S for the shortest thing. Write L for the longest thing. a

Colour the shorter animal orange. Colour the longer animal yellow.

Draw a line longer than the ribbon.

Word Problems 1

Sapna wants to make a bracelet and a necklace. Which will require less string – the bracelet or the necklace?

Pankaj has two ladders. Which is the taller ladder the brown ladder or the grey ladder?

Chapter 8 • Measurement

127

Comparing Weights Rahul: Sara, my school bag is heavy!

Real Life Connect

Sara: But Rahul, my school is heavier! How can Rahul and Sara find out which bag is heavy and which bag is light? Let us see how.

Finding Weight Things can be heavy or light. Some are heavy and some are light. We can compare weight of things using a simple balance. There are two sides of a simple balance. The heavier thing will go down. Light

Heavy

Light Heavy

When both sides are balanced, things have same weight. The weight of the green apple is the same as the weight of the red apple.

Same weight

We can also find the weight of things, using smaller things like blocks, stones and pebbles. Let us find the weights of the book and the water bottle.

The weight of the book is _____ 4 blocks.

128

The weight of the water bottle is _____ 7 blocks.

Circle the hea ier animal.

Example 3

ill in the blan s.

Example 4

The weight of the bottle equals that of _____ 5 apples.

The weight of the pencil box is equal to that of _____ 2 apples.

rite the weights of the things in marbles.

Do It Together

Weight of the ball = _____ marbles.

hich is the hea ier

Weight of the cup = _____ marbles.

The ____________ is heavier than the ____________.

Do It Yourself 8B 1

Tick the thing that is heavy. a

Chapter 8 • Measurement

129

Circle the heavier thing.

How many blocks does each weigh?

A wrist watch weighs as much as ________ blocks. 4

An orange weighs as much as ________ blocks.

Write “ T” if true or “ F” if false. a

A brick is heavier than a flower.

_________

A pencil is lighter than a big rock.

________

An apple is heavier than an elephant.

________

Write one thing which is heavy than the given thing. a

Pen - _______________

Sharpener - _______________

Book - _______________

Cotton - _______________

Word Problem 1

Ann puts 2 balls on a simple balance. Which is heavier? Why? Ball A

130

Ball B

Comparing Weights of More Than 2 Objects Tinku, Minku and Riya were helping their mother to carry boxes. Riya carried the box easily. Rinku had difficulty in carrying it. Tinku was not able to lift the box. Why can Riya lift the box easily? Let us see why.

The weight of Riya’s box was 10 blocks. It was light.

The weight of Rinku’s box was 20 blocks. It was a heavier box than Riya’s box.

The weight of Tinku’s box was 30 blocks. It was the heaviest box.

The weight of the crayon = 2 blocks.

Think and Tell

The weight of the lamp = 20 blocks.

smaller ones?

Are bigger objects always heavier than

The weight of the vase = 30 blocks. As 2 < 20 < 30, the vase is the heaviest thing. Do It Together

rite the weight of the things in bloc s. Casio

hich is the hea iest

Glass

________ blocks

Toy engine

________ blocks

________ is the heaviest. Chapter 8 • Measurement

131

Do It Yourself 8C 1

Write ‘H’ for heaviest and ‘L’ for lightest. a

What is the weight of these things in blocks? Write which is the heaviest.

Circle the thing that weighs more. a

132

Name one thing that is heavier than these things.

Nandini used crayons to find the weight of a spoon, a cup and a glass. The weight of the spoon was 4 crayons. The weight of the cup was 12 crayons. The weight of the glass was 15 crayons. Write the name of the things in order from the heaviest to the lightest.

Word Problem 1

Shreya and Saanvi are going home from the market. Shreya is carrying 5 oranges. Saanvi is carrying 15 oranges. Whose bag is heavier?

Comparing Capacity Real Life Connect

Raj was filling a jug and a bottle with water using a mug.

= 1 jug = 5 mugs

1 bottle = 3 mugs

What do you notice? Let us learn about it.

Chapter 8 • Measurement

133

How Much Does It Hold Raj is using a mug to fill the jug and bottle. The mug is smaller than the jug or the bottle. The mug has less capacity. The Capacity of the jug = 5 mugs. Capacity of the bottle = 3 mugs Capacity tells us how much water a container can hold. Some containers hold more. Some containers hold less.

Less Example 5

Which bottle holds more? Which holds less?

Example 6

Less

What is the capacity of the jug?

= Bottle A

Bottle B

Capacity of the jug = 4 glasses.

Solution: Bottle B holds more. Bottle A holds less. Do It Together

oo at the picture.

rite the capacity.

= Capacity of the bottle = ____ glasses.

134

= Capacity of the bucket = ____ jugs.

Do It Yourself 8D 1

Tick () the container that holds more. a

Find the capacity. a

Capacity of the jug = _______ glasses 3

Capacity of the bucket = _______ glasses

How many cups are needed to fill the bottle?

= _______ cups 4

Find the capacity of the given containers. a

A pot can hold 4 cups of tea. Capacity of the pot = ___________ cups.

A kettle can hold 8 cups of tea. Capacity of the kettle = ___________ cups.

Rani wants to fill a big water drum. She has a spoon and a bucket. Which of these should she use to fill the drum?

Word Problem 1

Shyama pours 5 buckets of water into a drum to fill it. What is the capacity of the drum?

Chapter 8 • Measurement

135

Comparing Capacity Rahul fills the bucket with 8 mugs of water. Shreya fills the bowl with 4 mugs of water. Which has more capacity – the bucket or the bowl?

Capacity of bucket = 8 mugs

Capacity of bowl = 4 mugs

A bigger container will hold more water than a smaller container. Let us compare the capacity of 3 containers. Least Capacity

Most Capacity

= 1 bowl = 2 glasses

1 kettle = 6 glasses

1 pan = 8 glasses

Circle the container that will hold less mil .

Example 6

Do It Together

Which has more capacity?

= Capacity of bottle = ____ glasses. The _________________ has more capacity. 136

= Capacity of jug = ____ glasses.

Do It Yourself 8E 1

Circle the container that can hold more. Cross out the container that can hold less. a

Look at the containers. Fill in the blanks. a

Container ____________ holds the most water.

Container ____________ holds the least water. A

Colour the container which can hold more water.

Name any two containers that can hold more than the cup.

Read the capacity of 3 pots. Which pot has the least capacity? Pot A = 6 cups;

Pot B = 4 cups;

Pot C = 8 cups

Word Problems 1

Ankit wants to fill the bucket with water. Which container should he use to fill it? a Spoon b Cup c Jug

Look at the pictures. Which has more capacity -

Chapter 8 • Measurement

137

Points to Remember •

Length helps us to know which objects are longer or shorter.

•

Weight helps us to know which object is heavy or light.

•

The length of a thing can be measured using smaller things.

•

The weight of a heavy thing can be measured using lighter things.

•

Capacity is the amount a container can hold.

•

A big container can hold more water than a small container.

•

The capacity of a container can be measured using smaller containers.

Math Lab Material required: Pencil

Measure Your Friend

Setting: in pairs

Procedure: Ask your partner to stand against a wall. 1 2 3

Mark the wall with the pencil, where the head meets the wall.

Measure the height of your friend with your handspan.

Start measuring the height from the floor to the marked point.

Chapter Checkup 1

Tick the shortest. a

Use your body parts to measure. Fill in the blanks. a

138

My pencil is ________ fingers long.

My lunch box is ________ handspan long.

Which is the shortest thing? Which is the longest thing?

How long are these objects?

About ____ handspans long.

About ____ handspans long. 5

Draw a line longer than the given pictures. a

Choose the correct option and fill in the blanks. a

A boy is __________ than an apple. (heavier/lighter)

A rat is __________ than a giraffe. (heavier/lighter)

Tick the lightest. a

A watermelon has the same weight as that of 4 apples. Draw the apples and the watermelon on the pans of the simple balance.

Chapter 8 • Measurement

139

Write the capacity of the given containers.

Capacity = ______ mugs 10

Capacity = ______ mugs

Which has more capacity?

Tank

Bottle

Colour the blocks to show how tall each object is. Count how many blocks each object is tall.

Sara's table is 6-handspan long. Her father says that the table is 5-handspan long. Are the two tables equal in length? Why?

Word Problems

140

Monika is carrying a bag which has 4 notebooks. Sanjana is carrying a bag which has 6 notebooks. Whose bag is heavier?

The length of Rohit’s red jeans is about 5 handspans. The length of his blue jeans is about 6 handspans. Which jeans is longer?

Piyush helped his father to fill the water cooler. 5 buckets of water filled the cooler. What is capacity of the cooler?

Numbers up to 100

Let's Recall We know numbers and number names from 1 to 50. 1 2 3 4 5 6 7 8 9 10 one two three four five six seven eight nine ten 11 12 13 14 15 16 17 18 19 20 eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty 21 22 23 24 25 26 27 28 29 30 twentytwenty- twentytwenty- twentytwenty- twentytwenty- twentythirty one two three four five six seven eight nine 31 32 33 34 35 36 37 38 39 40 thirty- thirty- thirty- thirty- thirty- thirtythirtythirtythirtyforty one two three four five six seven eight nine 41 42 43 44 45 46 47 48 49 50 fortyfortyfortyfortyfortyfortyfortyfortyfortyfifty one two three four five six seven eight nine

We can show numbers using bundles of sticks.

10 ten

20 twenty

30 thirty

40 forty

50 fifty

Let's Warm-up

Match the numbers with their names. 1

twenty-five

thirty-two

forty-eight

nine

seventeen I scored _________ out of 5.

Numbers from 50 to 100 Real Life Connect

Coco’s mother makes jewellery with beads. Coco is making a necklace too. Look, Mom! I made a necklace. It has 50 beads. Wow, Coco! That’s nice! I made 6 bracelets. I used 60 beads.

Coco's bead box

60 beads! Coco does not know how to count 60 and more! We must help her. Let us use beads from Coco’s Bead Box. We string 10 beads to make 1 bracelet. 10 beads

So, 1 bracelet = 1 ten

Making Tens up to 100 Put 5 bracelets together.

Put 6 bracelets together.

Put 7 bracelets together.

Put 8 bracelets together.

Put 9 bracelets together.

Put 10 bracelets together.

142

5 tens

50 fifty

6 tens

60 sixty

7 tens

70 seventy

8 tens

80 eighty

9 tens

90 ninety

10 tens

100 hundred

Count and write the tens. Write the number of beads.

Example 1

1 bracelet = 1 ten

7 bracelets = 7 tens 7 tens = 70. So, there are 70 beads. One box has 10 colours.

Example 2

These are 6 boxes. How many tens are there?

1 box = 1 ten. So, 6 boxes = 6 tens Do It Together

Here is 1 bundle of 10 ice cream sticks.

So, 1 bundle = 1 ten

Count and write the tens and the number of sticks they make. Bundles

How many tens?

How many sticks?

Do It Yourself 9A 1

1 box has 10 colours. 1 box = 1 ten. How many tens do these boxes make?

Chapter 9 • Numbers up to 100

143

1 bundle of pencils = 1 ten. Match the bundles with tens. a

9 tens

7 tens

8 tens

1 tray of eggs = 1 ten. 1 ten = 10. Count and write the number of eggs. a

1 bundle of sticks = 1 ten. Fill in the blanks with tens and numbers.

__________ tens = __________ 5

144

__________ tens = __________

Colour the bundles to make 10 tens. Write the total number of sticks.

Word Problem 1

Sana’s father bought 8 boxes of sweets. There are 10 sweets in each box. 1 box = 1 ten. a

How many tens do all the boxes make?

How many sweets are there altogether?

Writing Numbers Coco: Yay! I can count more than 50! Mom: That is great! Now, let us read and write numbers more than 50. See this number chart.

Example 3

100

Write the numbers forward from 51. 51

Write the numbers backwards from 60. 56

Do It Together

Trace numbers from

Chapter 9 • Numbers up to 100

60 .

145

ill in the missing numbers. ou may use the number chart to help you.

61 82

Do It Yourself 9B 1

COUNT FORWARD and write the numbers. a

COUNT BACKWARDS and write the numbers. a

100

Fill in the missing numbers. a

73 56

60 146

Join the numbers forward to complete the picture. Then, fill in the colours. 75

79 80 81

73 71

76 82

79 80 81

73 71

72 85

86 85

87 88

86 87

Find the way. Join the numbers by counting forward from 61 to 100.

Word Problem 1

Golu wants to feed the cat. Fill in the missing numbers on his way.

Chapter 9 • Numbers up to 100

147

Tens and Ones Coco: Wow! There are so many numbers from 51 to 100. Mom: Can you show them with bracelets and beads? Coco: Yes, I can. I need my bead box. One bead

Remember,

10 beads

1 bracelet = 1 ten.

Let us show some numbers using bracelets and beads.

5 tens

1 one

6 tens

8 tens

9 ones

7 tens

Example 4

bracelet

ten

6 tens

148

3 ones

5 ones 75

beads.

rite the tens and ones for the gi en beads.

1 one

7 tens

3 ones

bracelet

Example 5

ten

rite the number for the gi en beads.

10 sticks = 1 bundle

Do It Together

Count and write tens and ones. Then, write the number they make together.

Did You Know? 8 tens

1 one

____ tens

____ ones

When a player makes 100 runs in a game, it is called a century.

Do It Yourself 9C 1

1 tray of eggs = 1 ten = 10 eggs. Count the ones and tens. Write if true or false.

a c

There are 6 tens.

There are 35 eggs altogether.

b d

There are 3 ones.

There are 53 eggs altogether.

Match the sticks with the tens and ones. a

7 tens 6 ones

8 tens 5 ones

6 tens 2 ones

Chapter 9 • Numbers up to 100

149

Write tens and ones. Write the total number of pencils. b

____ tens ____ ones. ____ pencils 4

____ tens ____ ones. ____ pencils

Write the number of the given bundle of sticks. a

Write the tens and ones for the given numbers. a

65 = _____ tens _____ ones

91 = _____ tens _____ ones

Word Problem 1

150

Ranu puts 10 apples in 1 basket. 1 basket = 1 ten.

Some apples are still left out. Answer the questions.

How many tens and ones are there?

How many apples does Ranu have altogether?

Number Names Coco: I can make any number from 51 to 100. Mom: Let us learn their names now. 51

fifty-one fifty-two

sixty-one sixty-two

seventy- seventyone two

53 fiftythree

fifty-four fifty-five

sixtythree

sixtyfour

seventythree

55 65

fifty-six

fiftyseven

fiftyeight

fifty-nine

sixty

sixtyseven

sixtyeight

sixtynine

seventy

sixty-five sixty-six

seventy- seventy- seventyfour five six

seventyseven

seventy- seventyeight nine

eighty

eightyone

eightytwo

eightythree

eightyfour

eightyfive

eightysix

eightyseven

eightyeight

eightynine

ninety

100

ninetyone

ninetytwo

ninetythree

ninetyfour

ninetyfive

ninetysix

ninetyseven

ninetyeight

ninetynine

hundred

Error Alert! Remember the difference between ‘teen’ and ‘ty’: 16 – sixteen

Example 6

Do It Together

60 – sixty

17 – seventeen

70 – seventy

Write the number names. 73 – seventy-three

84 – eighty-four

55 – fifty-five

66 – sixty-six

77 – seventy-seven

88 – eighty-eight

Complete the number names. 54 – fifty-__________

57 – fifty-__________

85 – __________-__________

98 – __________-__________

Chapter 9 • Numbers up to 100

151

Do It Yourself 9D 1

Circle the correct name of the number 69.

Match the numbers with their names.

sixty-six

sixty-five

sixty-seven

eighty-five

seventy-four

ninety-five

fifty-three

sixty-three

sixty-nine

Tick () if the number name is correct. Put a cross ( ) if it is wrong. a

54 – forty-five

68 – sixty-eight

99 – nine-ninety

100 – hundred and zero

Fill in the blanks. a

64 – _____________-four

72 – seventy-_____________

86 – eighty-_____________

87 – _____________-seven

Write the number names we can make using ONLY these words. eighty

fifty

ninety

three

six

eight

Word Problem 1

Raza has some cards. Write the number names she can make with these. fifty

seventy

two

five

Comparing Numbers

seven

Coco now knows big numbers. Her mom got her number cards. Mom: Let us play some games with these cards. 152

nine

What number comes after?

The number after 52 is 53. The number after 53 is 54. The number after 54 is 55. You see! We jump one number forward:

What number came before?

59 comes before 60. 58 comes before 59. 57 comes before 58. We jump one number backwards:

When we move forward, we move to bigger numbers. When we move backwards, we move to smaller numbers.

Numbers smaller than 55

Example 7

Chec the numbers from

Numbers bigger than 55

gi en abo e.

Which number comes BEFORE 66? 65

Which number comes AFTER 66?

Which number comes BETWEEN 67 and 69?

Chapter 9 • Numbers up to 100

67 67

153

Example 8

1 2 Do It Together

68 52

70 56

Which numbers are bigger than 67?

Fill in the missing numbers. a

92 7461

58 65 66 and 65. 5967 67,

75 6356

77 6558

94 7563

96 7765

Circle the numbers bigger than 75. 71

9274

9475

9485. 92 smaller than Circle the numbers

68, 69 and 70.

61 smaller than 5663 68? Which numbers52are

ind the answers.6152

6759 78 c

7867 99

9677

9978

Do It Yourself 9E 1

Write the numbers that come BEFORE and AFTER. a

Write the numbers in between the 2 given numbers. 66

____

Circle the numbers bigger than 78.

Circle the numbers smaller than 78.

Read the numbers.

100 80 95 a

154

55 56

69 86

Write them from smaller to bigger. Write them from bigger to smaller.

____

Word Problem 1

Tinu

Tinu and Kiya noted how tall they are. These are the numbers they marked – 89 and 78.

Kiya

Whose height is 89 – Tinu’s or Kiya’s?

Points to Remember •

10 objects = 1 ten.

•

We can show any number with bundles of tens and ones. For example, 52 is 5 tens and 2 ones.

•

• • •

We learnt numbers from 51 to 100.

Every number has a name. For example, 67 is sixty-seven and 90 is ninety. Numbers will be smaller if we move backwards from a number. Numbers will be bigger if we move forward from a number.

Math Lab Setting: In groups of 6

What Are Your Numbers

Materials: A deck of cards of numbers 51 to 100 (1 per group) What to do?

Each member picks 1 card from the deck.

All cards are picked? Now, see the numbers you got and let us play the game.

Put back one card each. The member who puts back the biggest number wins the round and takes all the cards.

Keep taking turns to put back and win more cards.

In the end, the member with the most cards will be the winner.

Chapter 9 • Numbers up to 100

155

Chapter Checkup 1

1 bundle of sticks = 1 ten. Match the bundles with the tens. a

9 tens

6 tens

10 tens

1 bundle of matchsticks = 1 ten. Fill in the blanks with tens and numbers. a

___________ tens = ___________ b

___________ tens = ___________ 3

Write the missing numbers by counting forward and backwards. a

Write the missing numbers.

156

Match with tens and ones.

Tens Ones

(1 bunch = 10 flowers)

Write tens and ones. Then, write the number of flowers. a

Tens One

Write the number for the given number name. a

ninety-nine = ___________

sixty-five = ___________

eighty = ___________

Fill in the blanks to complete the number names. a c

Tens One

84 – ___________-four 95 – ___________-___________

b d

92 – ninety-___________ 100 – ___________

65 85 83

67 85

58 67 65

60 67

Fill in the numbers that come before, after or between. a

76 65

95 76

Chapter 9 • Numbers up to 100

78 66 99 78

157

Word Problems 1

Niru’s father brought 6 boxes of crayons for her. There are 10 crayons in each box.

a b

How many tens do the boxes make? How many crayons are there altogether?

Look at Raja’s number cards. Which card has an incorrect numbername pair?

fiftytwo

158

sevenseventy

eightone

ninetynine

Addition and Subtraction up to 100

Let's Recall We know addition and subtraction. We add when we put more things together. 5

= 5+4=9

We subtract when we take out things. 8–5=3

Let's Warm-up

Solve and fill in the blanks. 1

3+2=

4+2=

6–3=

10 – 6 =

4+3=

I scored _________ out of 5.

Let's Add Real Life Connect

Ajju made MANY laddoos today!

There are 20 laddoos in 2 boxes and 1 is in my hand. How many are these?

Oh no, he forgets to count.

Adding a 2-digit and a 1-digit Number

To find out how many laddoos Ajju has, we need to add them all. 1

10 11 12 13 14 15 16 17 18 19 20 21 1 in hand

2 boxes with 10 laddoos in each box

20 + 1 = 21

We have added them by counting forward. Let us add more numbers in this way. 34 + 4 = 38 31

44 + 6 = 50 41

We can also add numbers by tens and ones. Follow the steps:

Step 1 Add the ones: 2 ones + 4 ones = 6 ones Step 2 Write the tens: 5 tens 160

5 5

O 2 4 6

Add 61 and 3 both ways – counting forwards and tens and ones.

Example 1

Adding by counting forward: 1 61

Remember! T stands for Tens. O stands for Ones.

Adding by tens and ones: 1 bundle

Did You Know?

Write the tens: 6

Do It Together

Numbers from 0 to 9 are 1-digit numbers. Numbers from 10 to 99 are 2-digit numbers.

61 + 3 = 64

= 10 sticks.

Add the ones: 1 one + 3 ones = 4 ones

1-digit 2-digit

Add by counting forward. Fill in the blanks. Solve by ones and tens. T

O 6 3

Do It Yourself 10A 1

Count and add.

Add by counting forward. Write the answer in the blank. a

47 + 2 = –––––––––––– 45

Chapter 10 • Addition and Subtraction up to 100

69 + 1 = –––––––––––– 65

70 161

1 bundle = 10 sticks = 1 ten. Add the sticks and match the answers. a

90 + 5 = 95

60 + 2 = 62

Add by ones and tens. T

70 + 4 = 74

5 4

O 1 6

Fill in the blank. a

79 + _________ = 81

87 + _________ = 91

Word Problem 1

Rima puts 10 flowers in a vase. She has 9 more flowers to put in. How many flowers does she have in total?

Adding Two 2-digit Numbers Real Life Connect

Ajju is packing laddoos in the boxes now – 10 laddoos in each box. There are more laddoos at the counter! Ajju needs to know how many laddoos he has.

162

10 Box of os o d d la

O 6 3

Let us help him count and add.

Think and Tell

We add by ones and tens.

Can you add all the laddoos — 25 + 42 + 33? Try adding by ones and tens.

1 box = 1 ten. Add the ones: 5 ones + 2 ones = 7 ones Add the tens: 2 tens + 4 tens = 6 tens Follow the same steps to add more. Example 2

= 1 ten. Add 35 and 43 by ones and tens.

Do It Together

1 bundle of sticks = 1 ten. Add by ones and tens.

Addition in Real Life Real Life Connect

Jaya picked 12 tomatoes. Kabir picked 6 carrots from the garden. Let us find the vegetables picked by Jaya and Kabir. What do we know? Tomatoes Jaya has: 12 Carrots Kabir has: 6 What do we need to know? Vegetables Jaya and Kabir have altogether. Chapter 10 • Addition and Subtraction up to 100

163

Solve to find the answer.

12 Tomatoes

6 Carrots

= 18

In total, Jaya and Kabir picked 18 vegetables. Do It Together

John decorated the Christmas tree with his father. They used 15 balls, 14 stars and 3 bead strings. How many stars and bead strings have they used? What do we know? Stars: ________

Bead strings: ________ What do we need to know?

Stars and bead strings in total:

O 4

They have used _________ stars and bead strings altogether.

Do It Yourself 10B 1

Count and add to find the answer. a

Lions + Elephants = _____ + _____ = _____

Giraffes + Alligator = _____ + _____ = _____

Add to find the answer. a

32 Candies 164

12 Pickles

+ 32

Anu and Abir are picking apples. How many apples are there in all? 18 apples on the tree 11 apples

Ritu saw butterflies in the garden. She made a table. How many butterflies did she see in all?

12 5

Dia has 14 story books. Rhea has 11 story books. How many story books do they have in total?

Word Problem 1

Aman has 2 boxes of colours. The first box has 12 colours. The second box has 25 colours. How many colours does Aman have altogether?

Let's Subtract Real Life Connect

Remember Ajju, who made MANY laddoos! Today, he made 99 laddoos. HA-HA! He ate 1 while packing the box. How many laddoos are left? Let us find out! Chapter 10 • Addition and Subtraction up to 100

99 laddoos

165

Subtracting a 1-digit Number from a 2-digit Number To know how many laddoos are left, we subtract. 99 – 1 = 98 laddoos are left. We subtract by counting backwards. 36 – 4 = 32 31

1 91 92 93 94 95 96 97 98 99

We can also subtract by ones and tens. 1 box = 1 ten Step 1 Subtract the ones: 9 ones – 1 one = 8 ones

Step 2 Write the tens: 9 tens Example 3

1 bundle T

9 1 8

= 1 ten. Subtract 4 from 44 by ones and tens.

–

Did You Know?

Subtraction is the opposite of addition.

Subtract the ones = 4 ones – 4 ones = 0 Write the tens = 4 tens Do It Together

Subtract by counting backwards. Fill in the blank. Subtract using ones and tens. 61

69 – 6 = __________

Do It Yourself 10C 1

Count and subtract. a

166

10–3

12–2

Subtract by counting backwards. Fill in the blank with the answer. a

20 – 5 ___________ 15

59 – 3 ___________ 55

1 bundle = 10 sticks = 1 ten. Subtract and fill in the number of sticks left. a

49 – 5 = ________ b

66 – 6 = ________

Subtract by ones and tens. T

–

O 5 4

–

O 8 5

–

O 6 3

Fill in the blank. a

22 – _________ = 19

74 – _________ = 69

Word Problems 1

Mr Foxy had 13 balloons. 2 balloons flew away. How many is he holding now?

Mr Foxy had 10 gifts. He gave 4 gifts to his friends. How many gifts are left now?

Chapter 10 • Addition and Subtraction up to 100

167

Subtracting a 2-digit Number from a 2-digit Number 98 laddoos were there. He sold 48. How many laddoos are left?

We need to subtract to find out. We subtract by ones and tens. 1 box = 1 ten.

Step 1 Subtract the ones = 8 ones – 8 ones = 0 Step 2 Subtract the tens = 9 tens – 4 tens = 5 Ajju has 50 laddoos left. Example 4

–

Do It Together

–

= 10 matchsticks. Subtract 50 from 90.

1 bundle T

1 bundle of sticks = 1 ten. Subtract. Cross out the sticks to show the answer. T

–

Do It Yourself 10D 1

1 bundle = 10 sticks. Subtract and fill in the number of sticks left. a

34 – 13 = ________ 2

Subtract by ones and tens. a

–

168

56 – 23 = ________

–

Subtract and match the correct answer. a

20 – 10

15– 10

22 – 20

15 – 12

Write YES if the answer is correct. Write NO if it is incorrect. Then, correct it. a

– 5

–

5 6

8 6

–

9 4

9 3

How many sticks do we subtract from 87 to get 55? Strike out bundles of tens and sticks of ones to show.

Word Problem 1

Zoe and Kishu are reading a book. It has 45 pages. a b

They read 22 pages. How many are left?

They read 15 pages today. How many less pages they read since yesterday?

Subtraction in Real Life Real Life Connect

Aunty Mia baked 99 cookies. 10 cookies were burnt. How many cookies do we have left now? What do we know? Cookies in total: 99 Burnt cookies: 10 What do we need to know? Number of cookies left unburnt: Solve to find the answer. Binu, Tinu and Saba have 89 cookies left. Chapter 10 • Addition and Subtraction up to 100

–

9 169

Example 5

Out of 89 cookies, Binu and Tinu put 12 cookies aside for their parents. How many cookies are left now? What do we know?

What do we need to know?

Cookies in total: 89

Number of cookies left:

–

Cookies put aside: 12

Solve to find the answer. Binu, Tinu and Saba have 77 cookies left now. Do It Together

Read the story. Subtract when needed. 79 flowers bloom on a tree. 10 flowers fall. How many are left on the tree? What do we know?

What do we need to know?

Total flowers on the tree: _______

Number of flowers left: ________

Flower it gives away: _______

–

The tree has _______ flowers left.

Do It Yourself 10E 1

Murari sells balloons of many colours. Write True or False. a

Red balloons = 26; Sold = 11; Left = 14

Green balloons= 35; Sold = 13; Left = 22

Aunty Ruby has flowering plants = 28. She watered plants so far = 15. How many are left?

Binu ate 25 chocos out of 58 chocos. How many are left?

58 Chocos

170

Read the table and find how many are left if: a

15 bees flew away.

14 butterflies flew away.

Hemu Counted How many?

Match the number of flowers left on the cart. Sold Flowers

Flowers Left

37 Tulips

15 Lilies

22 Pansies

29 Lilies

69 Tulips

34 Pansies

Word Problem 1

Raman has 49 marbles. He took out 8 marbles. How many marbles are left?

Points to Remember •

We can add by counting forward.

•

We can add by ones and tens.

•

We need to add numbers in many day-to-day events.

•

We can subtract by counting backwards.

•

11 + 4 = 15

19 – 4 = 15

We can subtract by ones and tens.

Chapter 10 • Addition and Subtraction up to 100

171

Math Lab You Get, You Lose Setting: Group of 4 Materials: 20 sticks and a dice What to do?

ROUND 1

ROUND 2

Keep all the sticks in the middle of the group.

Take turns to roll a dice. Put the sticks back as the number you get.

Take turns to roll a dice. Pick up as many sticks as the number you get. Keep rolling the dice and adding sticks until all sticks are picked up.

Keep rolling the dice and subtracting the sticks until you have none. The last friend who is left with any sticks will be the winner of the game.

Chapter Checkup 1

How many gems are there altogether? Count forwards to add. a

24 + 4

36 + 2

5 3

O 6 1

Add by ones and tens. a

172

Add. a

Add by counting forward. a

59 + 1

Write YES if the answer is correct. Write NO if it is incorrect. Then, correct it.

T 2 3 5

O 3 4 7

T 3 6 9

O 5 2 9

Subtract by counting backwards.

10 – 5

28 – 2

49 – 7

Subtract by ones and tens.

– 8

T 2

O 5 3

–

T 3

O 6 4

T 4 2

O 2 1

Subtract by ones and tens. a

–

T 1 1

O 8 5

–

Fill in the blank with the correct sign + or –.

a d

34 ______ 4 = 38 75 ______ 5 = 80

27 ______ 2 = 25 98 ______ 2 = 96

Read the table. Add OR subtract. a

How many toffees are there in total?

12 toffees are eaten. How many are left?

69 ______ 9 = 60

Toffees How many?

Word Problems 1

Rehaan puts 23 green apples and 14 green apples in a box. How many apples are there in the box? A bookshelf has 58 books. Siya has read 27 of the books so far. How many are left to be read?

Chapter 10 • Addition and Subtraction up to 100

173

Introduction to Multiplication

Let's Recall We add to count the total number of things. There are 2 ducks in the pond. There are 4 ducks outside the pond. Let us count the total number of ducks.

2+4=6 So, 2 + 4 = 6 ducks.

5+4=9 So, 5 + 4 = 9 fish.

Let's Warm-up Match the following. 1

3+5

2+4

1+3

4+1

2+5

I scored ___________ out of 5.

Equal Grouping Real Life Connect

Rahul went to his uncle’s fruit garden. His uncle was putting the same number of fruits in the baskets. There are 5 baskets. He puts 2 fruits in each basket.

Basket 1

Basket 2

Basket 3

Basket 4

Basket 5

Rahul needs to find the total number of mangoes. How can he do that?

Making Equal Groups There were 5 baskets of mangoes. Each basket has 2 mangoes. We will call every basket as a group of mangoes.

Group 1

Group 2

Group 3

Group 4

Group 5

So, there are 5 groups of mangoes. There are 2 mangoes in each group. We can call it as 5 groups of 2. Example 1

How many groups are there? How many candies are there in each group?

Think and Tell

Count and tell, how many mangoes will be in 6 such baskets with 3 in each?

Group 1

Group 2

There are ______ 2 groups of candies. There are ______ 6 candies in each group. We can call it as 2 groups of 6. Chapter 11 • Introduction to Multiplication

175

Example 2

How many groups are there? How many stars are there in each group?

Group 1

Group 2

There are ______ 2 groups of stars. There are ______ 4 stars in each group. 2 groups of 4. How many groups are there? How many books are there in each group?

Do It Together

There are ______ groups of books. There are ______ books in each group. ______ groups of ______.

Remember! While making groups, we are putting the same number of things in each group.

Do It Yourself 11A 1

Tick the groups () that show equal number of things. a b

How many groups are there? a b

176

_____ groups of 3. _____ groups of 2.

How many things are there in each group? a

2 groups of _____ .

4 groups of _____ . c

Fill in the blanks. a

3 groups of _____ . ____ groups of ____.

____ groups of ____.

Circle and make the groups. a

2 groups of 4.

5 groups of 2.

4 groups of 2.

Draw things to find the total. Write total number of things. a

4 groups of 3.

2 groups of 6.

Chapter 11 • Introduction to Multiplication

177

Word Problem 1

Rahul went to the market with his mother. They purchased two bunches of balloons. How many balloons are there in total?

Skip Counting Rahul went to play with his friends. They started playing a jumping game. They have to jump two steps each time. Rahul took 4 jumps of 2 steps each. We can call it as 4 groups of 2. 1 0

74 5

Rahul jumped on the numbers 2, 4, 6 and 8. Then, Meena started jumping. She has to jump 3 steps each time.

Remember! In skip counting, we jump the same number of steps.

Meena took 3 jumps of 3 steps each. We can call it as 3 groups of 3. 1 0

2 2

3 5

Meena jumped on the numbers 3, 6 and 9. 178

102

11 4 5

12 7 8

Example 3

oo at the image and ﬁll in the blanks. 1 0

Think and Tell

On which number will she be in her 4th jump?

2 3

3 7

9 10 11 12 13 14 15 16 17 18 19 20

There are 4 groups of 4. The numbers are 4, 8, 12 and 16. Do It Together

Remember! Always take equal number of steps in each jump.

Show 5 jumps of 3. Fill in the blanks.

9 10 11 12 13 14 15 16 17 18 19 20

_____ groups of 3. The numbers are 3, _____, 9, _____ and _____.

Do It Yourself 11B 1

Look at the number strip and fill in the blanks. a

_____ groups of _____ steps each. b

_____ groups of _____ steps each.

Chapter 11 • Introduction to Multiplication

179

Mark the jumps on the number strip. 2 jumps of 4 steps

Skip count and fill in the box. 2

2 jumps of 3 steps

Circle the numbers to show 3 jumps of 3.

Word Problem 1

Tom is at number 0. He jumps 2 numbers each time. Draw to show the jumps. How many jumps did Tom take after reaching 14?

10 11 12 13 14

Writing Multiplication Sentences Rahul took his friends Meena and Raj to his uncle’s fruit garden. They took 3 baskets and kept 4 apples in each basket.

Group 1 4 180

Group 2 4

Group 3 4

= 12

There are 3 groups of 4. This can also be written as: Multiplication Sentence

3 groups of 4 = 12 3 × 4 Number of groups

= 12

Number in each group

Did You Know?

Remember!

The answer for 2 groups of 3 is the same as the answer for 3 groups of 2.

Example 4

Total number of apples

Multiplication helps to find out the total number of objects in groups.

Look at the picture. Fill in the blanks.

COLOURS

3 groups of 6 = 18 3 × 6 = 18 Do It Together

Write the multiplication sentence for the picture. Error Alert! 2

There are _____ groups of 2. ___________ × ___________ = ___________

Chapter 11 • Introduction to Multiplication

3 groups of 4: 4×3

3×4

181

Do It Yourself 11C 1

Write the number of groups. b

_____ groups. 2

_____ groups.

Write the multiplication sentence for the pictures. a

_____ × _____ = _____

Match the following. a

4 groups of 3

2×5

2 groups of 5

3×2

3 groups of 2

4×3

Choose and tick the multiplication sentence. b

2×3=5

4×2=8

3×3=5

3×3=9 5

3×2=6

3×3=9

Write the multiplication sentence. Write the answer. a

2 groups of 3

3 groups of 3

4 groups of 5

Word Problems

182

Mohit purchased 6 packets of candies. Each packet has 2 candies. How many candies are there in total?

A farmer has 4 baskets of oranges. Each basket has 3 oranges. How many oranges are there in all?

Points to Remember •

There are same number of objects in a group in multiplication.

•

In skip counting, we skip the same number all the time.

•

We use × sign for multiplication.

Math Lab Chit Game Setting: In pairs Materials: Dice, tokens for player and print of the board. What to do?

The first player who will reach the finish space will be the winner.

Bomb – Back to first space.

4 group of 4

Lucky card – You got one more chance.

Finish – Winner

3 groups of 4

START

3 jumps of 3 steps each

2×2

2×3

Chapter 11 • Introduction to Multiplication

YOU WIN!

Bomb – Go back to the first space

3 groups of 4

Petrol Pump

3×3

2 groups of 1

5 groups of 2 4×2

Bomb – Go back to first space

Luc Mo ky ca rd ve – for 4 step wa rd s

Solve the multiplication problem. If the player solves correctly, stay on the space; if not, move back one space.

el pe finish tro l p . Go um p.

Each player will roll the dice and move forward as per the number shown on the dice.

Choose a game token and place it on the start space.

183

Chapter Checkup 1

How many groups are there? ______ groups of ______.

a b 2

______ groups of ______.

Circle to make the groups. a

4 groups of 4

3 groups of 2

Look at the jumps. Fill in the blanks. a

________ groups of ________. b

________ groups of ________. 4

Mitthu wants to reach the chilli. He jumps 3 numbers each time. Draw the arrows to reach the chilli.

0 184

10 11 12 13 14 15

Show 4 jumps of 2 steps each.

0 6

9 10 11 12 13 14 15 16 17 18 19 20

Tick the multiplication sentence that shows the correct answer. 5 × 3 = 15

9 10 11 12 13 14 15 16 17 18 19 20

Show 2 jumps of 3 steps. Write the multiplication sentence.

0 7

4 × 5 = 12

Write the multiplication sentences. a

_______ × _______ = _______

Arpit has 3 baskets of oranges. Each basket contains 5 oranges. Write the multiplication sentence.

Shweta has 4 sets of pens. Each set has 2 pens. How many pens does Shweta have in all?

Word Problems 1

Lavya has 5 boxes of crayons. Each box has 2 crayons. How many crayons does she have in all?

There are 4 flowers in the garden, and each flower has 2 butterflies. How many butterflies are there in total?

Chapter 11 • Introduction to Multiplication

185

312

Time and Money

Let's Recall We know how to read and write numbers. On the clock, we see numbers from 1 to 12. We know number names. On the notes, we see the numbers and number names. Number Number name

We use numbers to count things.

5 coins

2 notes

Let's Warm-up

Circle the numbers we see on a clock.

I scored _________ out of 5.

Time Real Life Connect

It is Friday, 7 o’clock. This morning, Nitu’s dad is dropping her to school. Will you come to pick me up today?

Yes. I will come in the afternoon, by 1 o’clock.

Will you come to drop me tomorrow too?

It is Saturday. It is a holiday!

Look at the coloured words. These words tell us about time. Let us learn more about them.

Parts of the Day Nitu does many things. Let us see the order in which Nitu does the activities in a day. Morning Nitu wakes up. She gets ready for school. Noon Nitu spends time in school. She eats lunch. Evening Nitu goes to a dance class. She plays with her friends. Night Nitu brushes her teeth. She goes to sleep. Chapter 12 • Time and Money

187

Times of the Day Morning, noon, evening, and night are times of the day.

The sun rises in the morning. We wake up! Example 1

The sun sets in the evening.

The sun is high in the sky by noon.

The moon comes out at night. We go to sleep!

We usually have three meals in a day – breakfast, lunch and dinner. 1

Write the time of the day for each meal. Breakfast

Lunch

Dinner

In the morning _________________________

In the afternoon ____________________________

At night ________________

Which meal is the first meal of the day? Why? Breakfast is the first meal of the day because morning comes before afternoon and night.

Do It Together

hat time of the day does each picture show morning e ening noon or night

________________ 2

188

rite

________________

________________ Evening

________________

acti ity each that you do

in the morning. ________________

in the afternoon. ________________

in the evening. ________________

at night.

________________

How Much Time? Nitu does many things. Let us see the order in which Nitu does the activities in a day. MORE TIME

LESS TIME

Throwing and catching a ball.

Making a sand castle.

Patting a dog.

Painting a picture.

oo at the picture. Answer the questions.

Example 2

riding a bike

sliding

watching a bug

swinging jumping 1

Reading a story

Drawing

Which activities take about the same time as sliding down?

Swinging rite

Do It Together

drawing

Which activities will take more time than sliding down?

Riding a bike 2

reading a story

Watching a bug

Jumping

acti ities for each of the gi en.

Less time than drinking a glass of water - _________________________________

More time than drinking a glass of water - ________________________________

Chapter 12 • Time and Money

189

Do It Yourself 12A 1

Which of these activities do we usually do in the morning? a

Wake up 2

Ride a bicycle

Go to school

Go to sleep

Fill in the blanks with the correct time of the day. a

We brush our teeth early in the ____________ (morning/evening).

We usually take bath in the ____________ (morning/evening).

The school assembly starts in the ____________ (morning/afternoon).

We watch the moon and stars at ____________ (night/noon).

Arrange the activities as they follow in a day. Watching the sunset

Having dinner

Watching the sunrise

Having breakfast

Which activities usually take less time than having a bath? a

Sharpening a pencil

A football match

Drinking a cup of juice

A school day

Write 3 activities that take longer than a day.

Word Problems

190

Siya is looking at the stars. What time of the day is it?

Jay's aunt is coming to his house. She will reach after sunset. By what time of the day will she reach?

Reading Time Real Life Connect

Nitu’s dad said he would come by 1 o’clock. Nitu: Is it 1 o’clock? Let us help her read the time on the clock. We can read the time on a clock. The hour hand tells us the hour. It is on 1. So, the time is 1 o’clock. Let us learn to write in different ways. Minute hand

Think and Tell

Hour hand

– minute or hour?

1 o'clock or 1:00 Example 3

oo at the cloc .

Which hand is longer

6 o'clock or 6:00

rite the time in two ways. 3 o’clock

Did You Know? This is a digital clock. It does not have any hand.

3:00

Example 4

hich cloc shows Cloc

o’cloc

Cloc

Clock 2 shows 5 o’clock. 2

Write the time 5 o’clock in the other way? 5 o’clock – 5:00

Chapter 12 • Time and Money

191

Do It Together

raw the hour hand to show the time.

rite the time in the other way. o’cloc

o’cloc

4:00

_____________

Do It Yourself 12B 1

Label the minute hand and the hour hand.

Match the time written in 2 different ways.

2 o’clock

12:00

11 o’clock

1:00

1 o’clock

2:00

12 o’clock

11:00

Choose the correct time for each clock. 2 o’clock

192

11 o’clock

8:00

10:00

Read the clock. Write the time in two ways. a

Draw a round clock. Write numbers 1 to 12 in it. Then, draw the hour and minute hands to show 10 o’clock.

Word Problem 1

Bina wakes up early. The minute hand is on 12. The hour hand is on 6. What time did she wake up?

Days of the Week Nitu gets ready for school. Then, she recalls: 'It is Saturday. It is a holiday'. There are 7 days in a week. A week starts from Monday.

Example 5

hat day comes A T R unday

Monday comes after Sunday. Then, a new week starts. 2

hat day comes

hat day comes in

Thursday 3

Wednesday

Chapter 12 • Time and Money

Remember!

riday

Sunday is always a holiday!

Tuesday and Thursday

193

Do It Together

ill in the missing days of the wee . 1

Sunday

Monday

__________

Thursday

Friday

__________

Do It Yourself 12C 1

Choose days of the week from the box. Fill in the missing days on the week train. Thursday

Friday

Saturday

What day of the week comes after a Tuesday? b Thursday?

Sunday

Wednesday

Saturday?

Fill in the blanks with the day in between. a

Saturday, __________________, Monday

Monday, __________________, Wednesday

Thursday, __________________, Saturday

Write if true or false. a

Tuesday

Sunday comes before Tuesday.

Thursday comes after Sunday.

If Sunday is Day 1, what is Day 7?

Answer the questions. a

If Monday is Day 1, what is Day 3?

Word Problems

194

It is Tuesday. Rina slept early. She wakes up the next day. What day is it now?

Rahul’s birthday is 3 days after Wednesday. On what day is his birthday?

Months in a Year

Nitu: Saturday was a holiday. Sunday is a holiday too!

Dad: Wow, Nitu! You know all 7 days of the week! Do you also know the months?

Think and Tell

Nitu: No.

Dad: There are 12 months.

Example 6

In which month does your birthday come?

JANUARY

FEBRUARY

MARCH

APRIL

MAY

JUNE

JULY

AUGUST

SEPTEMBER

OCTOBER

NOVEMBER

DECEMBER

hich month is before uly

June 2

hich month is after uly

August 3

hich month is between August and

September Do It Together

ill in the missing months. 1 2 3

Did You Know?

January March

__________

Chapter 12 • Time and Money

These 12 months together make a year.

ctober

February

__________

October

__________

May

195

Do It Yourself 12D 1

Name the months that start with: a

letter J

letter M

January

June

October

Fill in the blanks with the month in between. a

What month comes after? a

letter A

April, __________________, June

June, __________________, August

Write if true or false. a

January comes before February.

March comes before April.

September is two months before November.

Write the month in which we have these festivals. a

Christmas

New Year

Republic Day

Word Problems 1

It is April. Coco’s birthday is next month. In which month is her birthday?

It is July. Anu’s 2 months of summer break has ended. When did the summer break start?

Money Real Life Connect

Nitu is at a shop. Her mom is paying. Shopkeeper: Twenty rupees, please! Mom: Here are two 10-rupee notes. When we buy things, we pay money. Notes and coins are money we use.

196

Indian Coins and Notes In India, we use these notes:

100 rupees

50 rupees

20 rupees

10 rupees

We use these coins:

20 rupees

10 rupees

5 rupees

2 rupees

1 rupee

The number on the note or coin shows the amount. The rupee symbol tells us that the amount is a rupee amount. 10 rupees or `10. Symbol is `

Did You Know? ₹ is the symbol of rupees.

Amount is 10

Example 7

rite the money symbol and the number you see on the note.

`50 Chapter 12 • Time and Money

`10 197

Do It Together

Circle the amount on this note or coin. 1

`15

`25

`55

`12

`20

`22

`10

`20

`50

`100

`10

`20

`50

`100

Do It Yourself 12E 1

Circle the NOTES.

Match the following. a

1 rupee 3

2 rupees

10 rupees

20 rupees

Look at the picture. Write True or False. a

It is a 10-rupee note. 198

It is a 20-rupee note.

Tick the coin that pays the same money as this note:

Which note pays more money? OR

Word Problem 1

Rama pays for ice cream with Who pays with a note?

. Raju pays for it with

Counting Money Real Life Connect

The shopkeeper asked for twenty rupees for fruits. Nitu’s mom pays with two 10-rupee notes. How does it make twenty rupees? We count all the notes and coins to get the total money. Let us see some of the ways in which we can make 20 rupees. +

= 20 rupees

Error Alert! The correct way of writing money is: ` 20 20 rupees

+ Chapter 12 • Time and Money

= 20 rupees

`20 199

We can make any amount with coins and notes. +

15 rupees

3 rupees ow much money is it

Example 8

= 5 rupees

ow much money is it

Example 9

Do It Together

= 10 rupees

Count and ﬁll in the total money. 1

+ +

= ___ rupees

Do It Yourself 12F 1

200

Match the number of `1 coins to the total. a

4 2

3 4

Count and write the total money. a

How many coins of ₹5 do you need to pay for: a 10 rupees b 15 rupees

20 rupees

How many notes of ₹10 do you need to pay: a

10 rupees

20 rupees

How much money is it?

Word Problems 1

Maya has 3 coins of ₹5. How much money does she have?

Ravi has 5 coins of ₹2. He lost one coin. How much money does he have now?

Aadu has 2 coins of ₹5 and 1 note of ₹10. How much money does he have?

Points to Remember •

Morning, noon, evening and night are parts of a day.

•

Different activities take different time to finish.

• • • • •

We do different activities in different parts of a day. A clock tells us the time.

There are 7 days in a week.

There are 12 months in a year.

We use notes and coins of different amounts as money.

Chapter 12 • Time and Money

201

Math Lab Pay Me, Please!

Setting: In pairs

Materials Required: Five coins of ₹2, ten coins of ₹1, two coins of ₹5 and a dice. Method: 1

Put all the money together. Then, roll the dice.

Check the number on the dice. Your partner will count and pay you that much money.

Do not roll the dice more than three times.

Then, count who has more money. The partner with more money is rich!

Pool in the money again. Play as many times as you want!

Chapter Checkup 1

Write 1 activity each that you do: a

10 o’clock

202

in the afternoon.

at night.

12:00

4 o’clock

Read the clock. Write the time in two ways. a

Write the time in the other way. a

in the morning.

Fill in the blank with the day/days that start with the given letters. a

F: ________________

M: ____________________

S: ________________ and ________________

T: _______________ and _______________

Write the day that comes in between.

Write the month that starts with the given letters. a F: ________________ b S: ________________

Saturday, _____________, Monday, _____________, Wednesday, _____________, Friday c

O: ________________

Fill in the missing month in order.

January, _______________, March, _______________, May, June, _______________, _______________, September, October, _______________, _______________.

Write N for a note. Write C for a coin. a

Count and write the total money. a

= _________

How much money is it?

= _________

Word Problems 1

Vibhu is up early to see the sunrise. Choose the time of the day it would be. a 5 o’clock b 12 o’clock c 2 o’clock

The hour hand is on 9 and the minute hand is on 12. Raju is going to sleep. What time is he going to bed?

Aaju’s mother gave him 3 coins of ₹2. His father gave him 3 more coins of ₹2. How much money does he have in all?

Kavita has a ₹10 note, and a ₹5 and a ₹2 coin each. How much money does she have?

Chapter 12 • Time and Money

203

13 Data Handling Let's Recall We have many different things around us. Some things look the same, like the

and

Some things are of the same colour, like the Some things look different, like a

and a

Some things have the same shape

and

are round in shape.

Let's Warm-up Match the kettle with the cup of the same colour. 1 2 3 4 5

I scored ___________ out of 5.

Understanding Data Tina wants to arrange her toys. Tina’s brother Jay helped her put the toys nicely. Look how he did it. Vehicles

Soft toys

Sorting Things

We put things of the same kind together. We can sort by colour. Green

We can sort by size. Big

Blue

Red

Medium

Small

We can sort in many other ways! Example 1

Help Tina and Jay sort these blocks into number and letter blocks. Number blocks

Chapter 13 • Data Handling

Letter blocks

205

Do It Together

Jay has cookies of many shapes. Help him sort them onto plates of the same shape.

Do It Yourself 13A

206

Which rack shows neat sorting?

Draw lines to sort vegetables for different baskets.

Draw lines to sort strawberries into the big and small bowls.

Draw lines to sort clothes. Put dirty clothes in the machine. Put clean clothes in the almirah.

Draw lines to sort the same SHAPES.

What can be the other way to sort the above shapes?

Word Problem 1

Sun, moon, stars, and rainbow are things we see in the sky. Sort them into two groups: a Things we see during the day. b Things we see at night.

Making a Table Real Life Connect

Jay counts the numbers of toys of each kind. He writes these in a table.

Chapter 13 • Data Handling

Vehicles

Soft toys

207

Example 2

Rima saw many things on the beach. Count and ﬁll in the table for each thing. Things on the beach How many?

Do It Together

Rima’s grandfather has a box of buttons of many shapes. Count and ﬁll in the table.

Count and write how many buttons of each shape are there. Shape How many?

Do It Yourself 13B 1

Count the number of girls and boys playing in the park. Fill in the table.

Girls in the park

208

Boys in the park

How many gloves of the same colour do you see? Fill in the table. Colour How many?

How many flowers of each kind do you see? Fill in the table.

Flower How many? 4

How many buttons of the same shape do you see? Fill in the table. Button How many?

Look at the different objects. a

How many of each are there? Fill in the table.

Kite

Pinwheel

Lamp

Clock

Cup

Air balloon

What can be the other way to sort these objects? Make a table to show.

Hint: Think about the place they are found; if they can move or if they can fly.

Chapter 13 • Data Handling

209

Word Problem 1

Mia, the Princess, has so many magical crowns, sticks, mirrors and shoes. Help her count and sort them in a table.

Reading a Table Jay needs to buy a toy for Tina’s birthday. Should I buy a vehicle or a soft toy? Which toy does she have fewer?

How many vehicles does she have?

Vehicles

Soft toys

How many soft toys does she have?

A table tells us about the number of things. By reading a table, we can tell which thing is more or less. We can tell the total number of things. Example 3

The table shows diﬀerent animal cards. Read the table. Answer the questions. Animal Cards How many? a

210

How many

cards are there?

There are 4

cards.

Which cards are the same in number? and

cards.

Do It Together

Tina is decorating a Christmas tree. The table shows the items she used. Read the table. Answer the questions. Decorative How many?

Stockings 7

Bells

Bulbs

Stars

How many

has she used? ____________________

Which item has she used the most? ____________________

How many items has she used in all ? ____________________

Do It Yourself 13C 1

Read the table. Answer the questions. a

Which leaf is the most in number?

Which leaf is the least in number?

How many leaves are there in all?

Which leaf is more –

b c

How many?

? How many more?

The table shows different toys in a shop. Read the table. Fill in the blanks. a

Leaves

There are ______________ rockets.

Toys

There are ______________ spinners.

______________ are least in number.

How many?

Read the table. Answer the questions. a

Which plants are more — cactus or sunflower?

Which plants are less — tulip or cactus?

How many plants are there in all?

Read the table. Write if True or False. a There are 6 snails. b There are 12 caterpillars. c Bees are more than snails. d Ladybugs are fewer than bees.

Chapter 13 • Data Handling

Plants How many?

Insects in a Garden How many?

211

Read the table. Draw the same number of sad, happy, and shy faces on the given circles. Stickers

Sad

How many?

Happy

Shy 2

Word Problem 1

Raman bought some fruits. He made a table to show the number of each fruit. Answer the questions. a

Fruits Watermelon Orange Pineapple Apple How many?

b C

Which fruit is the most in number? Which two fruits are the same in number? How many fruits did he buy in all?

Points to Remember • • • •

We can sort things by their colour, shape, or size. We can sort by many other ways. Making a table helps us in sorting. We read a table to check the number of things we have in each group.

Math Lab Sort Things in Your Pencil Box

Setting: In pairs Things Needed: Pencil boxes of both partners with all the things in it What to do? Collect things you and your partner have in your pencil boxes. Check for 1 common things – pencils, colours, erasers, rulers and sharpeners. Sort these things in groups by their colour, shape, size or use. You may 2 try sorting them one by one in different ways. Make a table in your notebooks to show sorting by each way. 3

212

Chapter Checkup 1

Draw lines to sort. Put the things into the tray of the same SHAPE.

Draw lines to sort. Put the things into the box of the same COLOUR.

How many paints and brushes are there? Fill in the table. Paints and Brushes How many?

How many flowers of each kind are there? Fill in the table. Kinds of Flowers How many?

Chapter 13 • Data Handling

213

How many of each shape can you count? Fill in the table. Shape How many?

Count all kind of dinos. Fill in the table.

The table shows the number of kitchen items in Sancy’s house. Write True or False . Kitchen item

How many? 6 16

a b c

There are more pans than jars.

There are fewer cups than pans.

The numbers of forks and spoons are the same.

Read the table. Fill in the blanks. Animals in a zoo How many?

214

Elephants

Foxes

Giraffes

Turtles

Lions

There are ________________ foxes in the zoo.

There are ________________ turtles in the zoo.

There are 2 MORE ________________ in the zoo than giraffes.

There are 2 LESS ________________ in the zoo than foxes.

Count the number of each object. Fill in the table.

Objects How many? 10

The table is listing socks in pairs. a

How many pairs of orange socks are there? How many pairs of purple socks are there?

Cycles

Lamps

Vases

Water cans

Socks pairs How many?

3 1 pair = 2 socks

Word Problems 1

Riya buys these things from the market— bananas, soap, chocolate, shampoo, rice, beans and detergent. Sort them into two groups – 1. Things Riya can eat. 2. Things Riya can use for cleaning. Ritu sees many butterflies and bees in the garden. She notes them in a table. a b

How many bees did Ritu see?

Which colour of butterflies did she see more – pink or purple?

How many butterflies did she see in all?

Chapter 13 • Data Handling

Things Ritu saw How many?

215

Imagine Mathematics

About This Book

MATHEMATICS

Singapore

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Gurugram

Bengaluru

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NEP 2020 based

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13/10/23 7:54 PM