New Mathematics Connection P.1-P.6 sample chapter (update)

New Mathematics Connection contents: Primary 1-6

ตามหลักสตู รแกนกลางการศกึ ษาขนั4 พน4ื ฐาน 2551 (ฉบบั ปรบั ปรงุ 2560) สอดคลอ้ ง สสวท.

Chapter P.1 Details

1 Numbers 0 to 10 จํานวนนับ 1 ถงึ 10 และ 0
การบวกสองจํานวนทผ'ี ลบวกไมเ่ กนิ 9
2 Addition within 10
การลบจํานวนสองจํานวนทต'ี วั ตัง4 ไมเ่ กนิ 9
3 Subtraction within 10 จํานวนนับ 11 ถงึ 20
การบวก การลบ จํานวนไมเ่ กนิ 20
4 Numbers 11 to 20 แผนภมู ริ ปู ภาพ
การชงั' น4ําหนัก โดยใชห้ น่วยทไ'ี มใ่ ชห่ น่วยมาตรฐาน
5 Addition and Subtraction Within 20 รปู รา่ ง รปู ทรง และรปู แบบ
จํานวนนับถงึ 100
6 Picture graphs การวัดความยาว โดยใชห้ น่วยทไ'ี มใ่ ชห่ น่วยมาตรฐาน
การบวก การลบ จํานวนไมเ่ กนิ 100
7 Weight

8 Shapes, Forms and Patterns

9 Numbers Up to 100

10 Length

11 Addition and Subtraction Within 100

Chapter P.2 Details

1 Numbers Up to 1,000 จํานวนนับไมเ่ กนิ 1,000
การบวกและการลบจํานวนนับไมเ่ กนิ 1,000
2 Addition and Subtraction within 1,000 การวัดความยาว เป็ นเมตรและเซนตเิ มตร
การชงั' น4ําหนัก เป็ นกโิ ลกรัมและกรัม
3 Length การคณู
การหาร
4 Weight เวลา
การวัดปรมิ าตร ความจุ
5 Multiplication รปู เรขาคณติ
การบวก ลบ คณู หาร ระคน
6 Division แผนภมู ภิ าพ

7 Time, Days and Months

8 Volume and Capacity

9 Shapes and Patterns

10 Add, Subtract, Multiply, Divide

11 Picture graphs

Chapter P.3 Details
จํานวนนับไมเ่ กนิ 1000,000
1 Numbers Up to 100,000 การบวกและการลบจํานวนนับไมเ่ กนิ 100,000
การคณู
2 Addition and Subtraction within 100,000 การหาร
การเชอื' มโยง
3 Multiplication of many digit numbers การเขยี นและการอา่ นเศษสว่ น
เงนิ และหน่วยเงนิ
4 Division of many digit numbers ชว่ งเวลา และการบอกเวลา
การวัดความยาวเป็ นเมตร, เซนตเิ มตร,มลิ ลเิ มตร, กโิ ลเมตร
5 Combined operation การชงั' นํ4าหนัก เป็ นกโิ ลกรมั และกรัม

6 Fractions ปรมิ าตรและความจุ
รปู รา่ ง และสมมาตร
7 Money เรขาคณติ เบอ4ื งตน้
แผนภมู ภิ าพ การวเิ คราะห์ และการนําเสนอขอ้ มลู
8 Time

9 Length

10 Weight

11 Volume and Capacity

12 Shape and Symmetry

13 Foundation of Geometry

14 Picture graphs

New Mathematics Connection contents: Primary 1-6

ตามหลักสตู รแกนกลางการศกึ ษาขนั4 พนื4 ฐาน 2551 (ฉบบั ปรบั ปรงุ 2560) สอดคลอ้ ง สสวท.

Chapter P.4 Details

1 Numbers more than 100,000 จํานวนนับทมี' ากกวา่ 100,000

2 Addition and Subtraction more than 100,000 การบวกและการลบจํานวนนับทมี' ากกวา่ 100,000

3 Multiplication more than 100,000 การคณู จํานวนนับทม'ี ากกวา่ 100,000

4 Division more than 100,000 การหารจํานวนนับทมี' ากกวา่ 100,000

5 Add, Subtract, Multiply, Divide more than 100,000 การบวก ลบ คณู หาร จํานวนนับ

6 Time เวลา

7 Fractions เศษสว่ น

8 Decimals ทศนยิ ม

9 Lines and Angles เสน้ และมมุ

10 Area พน4ื ทส'ี เี' หลยี' มมมุ ฉาก

11 Geometry เรขาคณติ

12 Patterns รปู แบบ
13 Data Analysis การนําเสนอขอ้ มลู

Chapter P.5 Details
เศษสว่ น
1 Fractions เศษสว่ น และกระบวนการทางเศษสว่ น
ทศนยิ ม
2 Fraction Operations ทศนยิ ม และกระบวนการทางทศนยิ ม
การนําเสนอขอ้ มลู และความน่าจะเป็ น
3 Decimals บัญญตั ไิ ตรยางศ์
รอ้ ยละ
4 Decimal Operations เสน้ ขนานและมมุ

5 Data Analysis and Probability การหาพน4ื ทขี' องรปู สเ'ี หลยี' มและวงกลม
ปรมิ าตรและความจขุ องรปู ทรง
6 Arithmetic

7 Percentages

8 Parallel Lines and Angles

9 Finding Area of Quadrilaterals and Circles
10 Volume of Solids

Chapter P.6 Details
ตัวแปร
1 Factors เศษสว่ น
ทศนยิ ม
2 Fractions ทศนยิ ม และกระบวนการทางทศนยิ ม
รอ้ ยละ กําไร-ขาดทนุ
3 Decimals
สดั สว่ น และสดั สว่ นทเี' ทา่ กัน
4 Decimal Operations ปรมิ าตรของรปู ทรง
หาพน4ื ทวี' งกลม
4 Percentages
หาพน4ื ทสี' ามเหลย'ี ม
5 Rations and Proportions ความยาวรอบรปู และพน4ื ทขี' องรปู หลายเหลยี' ม

6 Volume รปู แบบและคณุ สมบัตขิ องรปู สามมติ ิ
รปู แบบ
7 Circles แผนภมู วิ งกลม

8 Triangles

9 Polygons

10 Three-Dimensional shapes
11 Patterns
12 Pie charts



Preface

New Mathematics Connection is a series of learning materials

specially written to meet the mathematical needs of primary students
preparing for the Thailand National Test. Written in a style that is simple
and easy to understand, the series complies with the requirements of
the latest syllabus, Basic Education Core Curriculum B.E. 2551 (Revised
Edition B.E. 2560)

Written in local context with international appeal, New Mathematics
Connection makes the learning of mathematics fun and relevant.

Students are engaged in active discussion at the start of each chapter; the
relation of mathematics to daily life scenario makes the learning meaningful
and relevant. The series is designed to introduce concepts progressively
from the simple to the more advanced to enable students to recognise and
connect mathematical ideas.

It is the hope of both publishers, Plan Parithat and Marshall Cavendish that

the New Mathematics Connection series will make a significant

breakthrough in the learning of mathematics. The enhanced learning
experience will allow students to better appreciate mathematics as a subject
of enjoyment and relevance, with plenty of chances for creative work and
application to everyday life.

Contents

1 Chapter 1 Numbers: 0 to 10 1
2
CHAPTER A Counting 6
B Counting and Writing Numbers from 0 To 10 9
C Ordering Numbers 12
D Comparing Numbers
19
2 Addition within 10
20
CHAPTER A Understanding Plus Sign and 21
Meaning of Addition 27
29
B Adding Two Numbers 33
C Writing Addition Sentences
D Solving Word Problems 35
E Creating Addition Stories 36
36
3 Subtraction within 10 37
41
CHAPTER A Meaning of Subtraction 44
B Understanding Minus Sign 47
C Subtracting Two Numbers
D Writing Subtraction Sentences
E Solving Word Problems
F Creating Subtraction Stories

4 Numbers: 11 to 20 49
50
CHAPTER A Counting 54
B Ordering Numbers 56
C Comparing Numbers 61
D Number Patterns
63
5 Addition, Subtraction and 64
Word Problems within 20
CHAPTER 67
A Word Problems on Addition and Subtraction 71
B Writing Sentences on Addition and 73

Subtraction 75
C Addition and Subtraction with Brackets 76
D Creating Word Problems 80

6 Picture Graphs

CHAPTER A To Read Picture Graphs
B To Interpret Picture Graphs

7 Weight 85
87
CHAPTER A Comparing Weights 89
B Measuring Weight
97
8 Shapes, Forms and Patterns 100
103
CHAPTER A Recognising Shapes 106
B Identifying Shapes in Objects
C Making Patterns with Shapes 107
D Two-Dimension Geometry and
109
Three-Dimension Geometry 110
111
9 Numbers: Up to 100 112
113
CHAPTER A Counting 115
B Place Values of Tens and Ones
C Ordering Numbers
D Comparing Numbers
E Number Patterns

10 Length 111
112
CHAPTER A Comparing Lengths 114
B Measuring Length
119
11 Addition and Subtraction within 100 121
123
CHAPTER A Adding Two Numbers 126
B Adding Three Numbers 127
C Solving Word Problems on Addition 129
D Subtracting Two Numbers 131
E Solving Word Problems on Subtraction
F Writing Addition and Subtraction Stories

1 Numbers 0 to 10

Objectives

◆ To count from 1 to 10, and 0;
◆ To write numerals;
◆ To order numbers;
◆ To compare numbers;
◆ To apply knowledge to daily life.

Getting Started

Number Rhyme

One little, two little, 3 49 8
three little fingers; 2 5 10 7
four little, five little,
1 6

six little fingers;

seven little, eight little,

nine little fingers;

ten fingers on my hands.

New Mathematics Connection 1

A Counting 23

01

45 6 7

89 10

Let us count from 1 to 10.

Arabic Thai Word
Number

1 one

2 Chapter 1 Numbers 0 to 10

2 two
3 three
4 four
5 five
6 six
7 seven
8 eight
9 nine
10 ten

New Mathematics Connection 3

Try It

Count the animals and match the numbers.

4 Chapter 1 Numbers 0 to 10

1
4
6
7
9
2
5
3
8
10

Go to Exercise 1

New Mathematics Connection 5

B Counting and Writing Numbers from 10 to 0 10

Let us count from 10 to 0. ten

6 Chapter 1 Numbers 0 to 10 9

nine

8

eight

7

seven

6

six

5

five

4

four

3 Zero is a
number.
three Zero means
nothing.
2

two

1

one

0

zero

Let us learn to write numbers.

Go to Exercise 2

New Mathematics Connection 7

Try It

Trace and write the numbers.

1 2 3 4 5 6 7 8 9 10

Count the objects in the play room and write the numbers.

7 Go to Exercise 3

8 Chapter 1 Numbers 0 to 10

C Ordering Numbers

We can order numbers from 1 to 10.

10

89
67
5
4
3
2
1

Fun Facts

Many people believe that 9 is a lucky number.

New Mathematics Connection 9

What are the missing numbers?

10 2
1
7
6

4

10 Chapter 1 Numbers 0 to 10

Try It 6

Fill in the missing numbers.
1.

3

2.

3. 3 6 10
1

4. 45
2

Go to Exercise 4

New Mathematics Connection 11

D Comparing Numbers

Let us compare numbers using 5 and fi signs.

Set A Set B

There are 4 hats in Set A and 4 hats in Set B. Each hat has a
pair.We say 4 ‘is equal to’ 4. We write 4 5 4.

Set C Set D

Set C has 4 bells and Set D has 3 bells. One bell in Set C does
not have a pair. We say four is not equal to three. We write 4 fi
3.

Note:
If the number of objects on both sides are the same, the two
numbers are equal.
If the number of objects on both sides are not the same, the
two numbers are not equal.

12 Chapter 1 Numbers 0 to 10

Let us compare numbers using , and . signs.
We know 4 fi 3.
Look at the numbers in order.

0 1 2 3 4 5 6 7 8 9 10

3 comes before 4. We say three is less than four.
We write 3 , 4.

4 comes after 3. We say four is more than three.
We write 4 . 3.

Think Aloud

How many colours are there in our
national flag?

New Mathematics Connection 13

I have 4 balloons.

Kai I have 3 balloons. Jane

4 is more than 3. I have 3 is less than 4. I have
more balloons than Jane. less balloons than Kai.

We say that Kai has a greater number of balloons than Jane.

We can also say that Jane has a fewer number of balloons
than Kai.

Now I have 3 balloons.

3 is equal to 3. I have
the same number of

balloons as Kai.

14 Chapter 1 Numbers 0 to 10

Symbol Meaning Example in Example in Words
Symbols

Greater than 6 is greater than 2.
. More than 6 . 2 6 is more than 2.
6 is bigger than 2.
Bigger than

Less than 2 is less than 6.
, Fewer than 2 , 6 2 is fewer than 6.
2 is smaller than 6.
Smaller than

Equal to 7 is equal to 7.
5 757
Same as 7 is the same as 7.

Not equal to 4 is not equal to 5
fi 4fi5
Not same as 4 is not the same as 5.

5 means equal to
fi means not equal to
, means less than
. means more than

New Mathematics Connection 15

Try It

1. Count and compare.Tick ( ) on the box if the numbers are
equal else cross out ( ).
Example:

4 4
(a)

2. Which has more? Tick ( ) on the box.
(a)

16 Chapter 1 Numbers 0 to 10

(b)

3. Which has less? Tick ( ) on the box.
(a)

(b)

New Mathematics Connection 17

4. Fill in the box using 5 or fi signs. 4
(a)

5
(b)

6 6

5. Fill in the box using , or . signs.
(a)

3 5
(b)

8 7

18 Chapter 1 Numbers 0 to 10 Go to Exercises 5-6



Contents

1 Numbers: Up to 1,000 1
3
CHAPTER A Counting 13
B Place Values
C Read and Write Arabic and 16
18
Thai Numerals and Words up to 1,000 20
D Expanded Form of Numbers 25
E Number Patterns 29
F Odd and Even Numbers 31
G Comparing Numbers
H Ordering Numbers 35
37
2 Addition and Subtraction within 1,000 40
45
CHAPTER A Adding without Renaming 47
B Subtracting without Renaming 49
C Adding with Renaming 50
D Subtracting with Renaming
E Adding Two Numbers Mentally 52
F Subtracting Two Numbers Mentally
G Word Problems Involving Addition and 55
59
Subtraction 63
65
3 Length

CHAPTER A Measuring Length
B Comparing Lengths
C Solving Word Problems on Length

4 Weight 68
70
CHAPTER A Measuring Weight 72
B Comparing Weights 75
C Solving Word Problems on Weight
78
5 Multiplication 80

CHAPTER A Understanding the Meaning of Multiplication 82
B Multiplying One-Digit Number with 84
88
One-Digit Number 90
C Multiplication Tables
D Multiplying with 10, 20, 30, …, 90 93
E Multiplication Property 95
F Multiplying One-Digit Number with
98
Two-Digit Numbers 100
G Word Problems 103
105
6 Division 109

CHAPTER A Understanding the Meaning of Division
B Multiplication and Division
C Division with Remainder without Remainder
D Solving Word Problems Involving Division

7 Time, Days and Months 110
112
CHAPTER A Telling Periods of Time in a Day 114
B Understanding A.M. and P.M. 116
C Days of the Week 120
D Months of the Year 121
E Reading a Calendar
125
8 Volume and Capacity 127
129
CHAPTER A Volume 131
B Capacity 135
C Comparing Volumes and Capacities 137
D Measuring Volumes
E Measuring Volumes and Capacities 139
F Solving Word Problems on Volume
141
and Capacity 142
145
9 Shapes and Patterns 149

CHAPTER A Two-Dimensional Geometric Shapes 152
B Draw Shapes from Model Figure Pattern
C Three-Dimensional Geometric Shapes 154
D Identify Two-Dimensional from 156
159
Three-Dimensional Geometric Shapes
E Drawing Two-Dimensional from

Three-Dimensional Shapes
F Identifying Shapes in Objects
G Identify the Pattern

10 Mixed Operations and Word Problems 160

CHAPTER A Solving Word Problems Involving Addition, 162
Subtraction, Multiplication and Division
164
B Writing Mixed Sentence and Finding 165
Short Answer from The Given Questions
167
C Check that Answers are Reasonable 169
170
11 Picture Graphs 171
174
CHAPTER A Tables 177
B Pictographs
C Bar Graphs
D Knowing Average
E Word Problems

1 Numbers up to 1,000
Numbers up to 1,000

Objectives

◆ To count numbers from 1 to 1,000;
◆ To describe the meaning of place values of hundreds, tens

and ones;
◆ To read and write Arabic and Thai numerals up to 1,000;
◆ To identify number patterns;
◆ To describe odd and even numbers;
◆ To compare and order numbers;
◆ To apply knowledge to daily life.

Getting Started

I think about 100 people
could be seated here!

No! About 1,000 people
could be seated here. We will

learn about this now.

New Mathematics Connection 1

Review

1. Count and write in Arabic and Thai numerals.

(a)

Arabic Thai

(b)

Arabic Thai

(c)

Arabic Thai

(d)

Arabic Thai

2 Chapter 1 Numbers up to 1,000

A Counting

Counting Numbers from 1 to 1,000 in Arabic Numerals

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 26 27 28 29 30
.
.
.

91 92 93 94 95 96 97 98 99 100

101 102 103 104 105 106 107 108 109 110

111 112 113 114 115 116 117 118 119 120
.
.
.

191 192 193 194 195 196 197 198 199 200

201 202 203 204 205 206 207 208 209 210

211 212 213 214 215 216 217 218 219 220
.
.
.

971 972 973 974 975 976 977 978 979 980

981 982 983 984 985 986 987 988 989 990

991 992 993 994 995 996 997 998 999 1,000

New Mathematics Connection 3

Counting Numbers from 1 to 1,000 in Thai Numerals

. ,
.
.

.
.
.

.
.
.

4 Chapter 1 Numbers up to 1,000

Use Objects to Show Counting from 1 to 1,000
Counting by ones

7 eggs 8 eggs 9 eggs 1 tray of eggs = 10 eggs

= 1 tray
10 eggs
Counting by tens

7 trays 8 trays 9 trays
There are 70 eggs. There are 80 eggs. There are 90 eggs.

Fun Facts
1,000 years is known as a Millennium.

New Mathematics Connection 5

10 trays make 1 stack
There are 100 eggs.
1 stack of eggs = 100 eggs.

There are 100 eggs in 1 stack.
Counting by hundreds

7 stacks
There are 700 eggs.

6 Chapter 1 Numbers up to 1,000

8 stacks
There are 800 eggs.

9 stacks
There are 900 eggs.

New Mathematics Connection 7

10 stacks
There are 1,000 eggs.

There are 10 stacks of eggs in 1 lorry.
There are 1,000 eggs in 1 lorry.

8 Chapter 1 Numbers up to 1,000

Try It (b) ,, ,
,,
1. Find the missing numbers. (d) ,, ,
(a) 411, , 413, 414 (f) ,, ,
(c) , 832, 833, 834 (h) ,,
(e) 775, 776, , 778 (j) ,, ,
(g) 110, , 112, 113
(i) , 800, 801, 802

2. Count and write the amount in Arabic and Thai numerals.
(a)

Arabic Thai

New Mathematics Connection 9

(b)

Arabic Thai

10 Chapter 1 Numbers up to 1,000

(c)

Arabic Thai

New Mathematics Connection 11

(d)

Arabic Thai

(e)

Arabic Thai

12 Chapter 1 Numbers up to 1,000 Go to Exercise 1

B Place Values

Recognise Place Values of Hundreds,Tens and Ones
Bead counter
A bead counter is an instrument which can be used to know the place
value of a number.

10 ones make 1 ten.
10 tens make 1 hundred.
10 hundreds make 1 thousand.

Hundreds Tens Ones

Example 1

Consider the number 437.
Here, 437 is represented in the bead counter as follows:

Hundreds Tens Ones 4 beads in the hundreds place = 400
3 beads in the tens place = 30
7 beads in the ones place = 7
So, 400 + 30 + 7 = 437.
Answer: The beads represent 437.

New Mathematics Connection 13

Use Zero to Show Place Value

Zero is used as a place holder. If zero is in the tens (or ones) place of the
number, then the tens (or ones) stick of the bead counter is left empty.

Example 2

Consider the number 809.

In this number, the digit zero is in the
tens place. So, the beads of the
bead counter are arranged as follows:

8 beads in the hundreds place = 800 Hundreds Tens Ones
0 beads in the tens place = 0
9 beads in the ones place = 9
So, 800 + 0 + 9 = 809.

Answer: The beads represent 809.

Try It

1. Write the number shown in the bead counter below.
(a) (b)

Hundreds Tens Ones Hundreds Tens Ones

14 Chapter 1 Numbers up to 1,000

(c) (d)

Hundreds Tens Ones Hundreds Tens Ones

2. Draw the correct number of beads in the bead counter for each
number.

(a) 786 (b) 450

Hundreds Tens Ones Hundreds Tens Ones

(c) 291 (d) 303

Hundreds Tens Ones Hundreds Tens Ones

Go to Exercise 2

Think Aloud
What is the value of zero in the hundreds place?

New Mathematics Connection 15

C Read and Write Arabic and Thai Numerals and

Words up to 1,000

Read and Write Numbers up to 1,000 in Numerals

We have already learnt to write Arabic and Thai numerals from 0 to 100 in
our earlier classes. We will now learn to write numerals in Arabic and Thai
up to 1,000.

Example 3 Example 4

Write the Arabic numerals in Thai Write the Thai numerals in Arabic
numerals. numerals.

Arabic Thai Thai Arabic
385 706
412 913

Read and Write Numbers up to 1,000 in Words

1 One 11 Eleven 30 Thirty
2 Two 12 Twelve 40 Forty
3 Three 13 Thirteen 50 Fifty
4 Four 14 Fourteen 60 Sixty
5 Five 15 Fifteen 70 Seventy
6 Six 16 Sixteen 80 Eighty
7 Seven 17 Seventeen 90 Ninety
8 Eight 18 Eighteen 100 One hundred
9 Nine 19 Nineteen
10 Ten 20 Twenty

16 Chapter 1 Numbers up to 1,000

101 One hundred and one 200 Two hundred
102 One hundred and two 300 Three hundred
103 One hundred and three 400 Four hundred
104 One hundred and four 500 Five hundred
105 One hundred and five 600 Six hundred
106 One hundred and six 700 Seven hundred
107 One hundred and seven 800 Eight hundred
108 One hundred and eight 900 Nine hundred
109 One hundred and nine 1,000 One thousand
110 One hundred and ten

Example 5

Write the following numerals in words.
342 – Three hundred and forty-two.
908 – Nine hundred and eight.
160 – One hundred and sixty.

Try It

1. Fill in the blanks. Thai Words
Four hundred and ninety-one
Arabic
491
764

995
One hundred and forty-five

New Mathematics Connection 17

2. Write the numbers in Thai and Arabic numerals.
(a) Eight hundred and seventy-five

Arabic Thai
(b) Six hundred and eighty-seven

Arabic Thai

(c) Seven hundred and eighty-four

Arabic Thai

(d) Nine hundred and seventy-seven

Arabic Thai

Go to Exercise 3

D Number Patterns

We write the expanded form of numbers by splitting them into hundreds,
tens and ones.

Example 6

Write the expanded form of the following numbers.
(a) 457

Hundreds Tens Ones
4 5 7

Number in words: Four hundred and fifty-seven
Expanded form: 400 + 50 + 7

18 Chapter 1 Numbers up to 1,000