Author Ashok Dangol M.Ed., Maths Allied Publication Pvt. Ltd. Kathmandu, Nepal Ph.: 01-5388827, 537869 Approved by the Government of Nepal, Ministry of Education, Curriculum Development Center (CDC), Sanothimi, Bhaktapur, Nepal as an additional material. Class 1 The Leading Allied Mathematics Mathematics
Publisher Allied Publication Pvt. Ltd. Kathmandu, Nepal Ph.: 01-5388827, 5378629 Email : [email protected] Author Ashok Dangol Copy Right Author Special Thanks Nabaraj Pathak Lalbabu Prasad Yadav Jit Bahadur Khanal Gobinda Prasad Pokharel Art Illustration Dev Krishna Maharjan Language Editor Nariswor Gautam Edition First - 2080 Printing Quantity 5000 Graphics by A One Computer (9851226533) Name:.............................................................................................. School:............................................................................................ Class: ........................................ Roll No: ......................................... Guardian: ......................................................................................... Contact: ........................................................................................... The Leading Allied Mathematics Mathematics
This Allied The Leading Mathematics - 1 is basically meant for making the teachers and taught active while teaching and learning mathematics. The contents and extent of the series are strictly contained and arranged in accordance with the new vision and mission of the latest New Integrated Curriculum 1-3 of Basic Level of CDC, Nepal. This series is basically an outcome of my untiring effort and patience. The long and dedicated service in teaching and popularization of mathematics has been a great asset in preparing this series. It has been designed as a textbook for English medium private and government school students with a new approach. This book provides maximum benefit to both teachers and students because of the following unique features: Unique features of this book; Arranged especially focus on child psychology of teaching and learning mathematics which are based on the Themes of Integrated Curriculum 1-3. Prepared with the firm belief that “Mathematics begins at Home, grows in the Surroundings and takes shape in School (HSS Way)”, and sincere attempts have been made to make the learner, the teacher and reader feel “Mathematics is Fun, Mathematics is Easy and Mathematics is Everywhere (FEE Concept)”. Written the focus of students’ activities and easily perform teaching-learning activities for teachers. Well arranged the four colours of the whole book supports to find easily Themes, Chapters, Lessons, Examples, Practices, and other topics from Content. Every Theme begins with its estimated teaching hours (Theory + Practical), competency, learning outcomes, revision contents for pre-knowledge. Highlighted the important terms, notes and key points. Included sufficiently all types of Classwork Examples and Home Assessments from simple to complex with suitable figures and reasons. Provided QR Code to present from Projector and learn from Mobile set. Included Project Works and Their Formats as self-practice to the students at home for some days’ activities to memories long time about the entire chapters. Included Confidence Level Tests as self-evaluations for Success and Competent by themselves. Available Individual Practical Evaluation Sheets at the end. It is very much hoped that with all the above features, this book will be found really fruitful by teachers and students alike. thanks Allied Publication Pvt. Ltd., Kathmandu, Nepal for taking responsibility for publishing this book, Dev Krishna Maharjan for drawing arts, Raju Shrestha for attractive design and Nariswor Gautam for language editing. I would like to extend my sincere gratitude to the persons whose ideas or creations are directly or indirectly incorporated into the text. I would like to extend thanks to the teachers and the students who helped me to verify the answers and to check the manuscript of this book. At last, thanks to the schools that applied this book and suggested it to me. Finally, I heartily welcome criticisms, feedbacks and suggestions from readers so that it may appear with revise from in the coming edition and will be gratefully and thankfully acknowledged and honored. Magh, 2079 Author Preface
Contents Units Chapters Pages I. Me and My Family 1. Per-number Skills (concept of Place) 2. Hindu-Arabic and Devanagari Numerals up to 20 3. Comparison of Numbers up to 20 9 22 56 II. My Daily Life 4. Time 74 III.Our Community 5. Numbers from 0 to 20 in Words 6. Numbers from 21 to 100 7. Even and Odd Numbers 8. Addition up to 20 9. Lengths of Objects 97 109 136 146 181 IV. Our School 10. Ordinal Numbers up to Tenth 11. Addition up to 100 without Carry Over 12. Subtraction up to 20 13. Subtraction of Two Numbers 195 201 208 236 V. Our Creation 14. Drawing Lines 15. Geometric Shapes 247 225 VI. Communication, Technology and Market 16. Money 17. Pictograph 278 282
PB Allied The Leading Mathematics 1 Theme I Me and My Family 7 Competency: Use Hindu-Arabic and Devnagri numerals upto 20 in daily life. Concept of Numbers, Comparison of Numbers ME AND MY FAMILY Theme I 1. Pre-Numbering Skills; Concept of Place 2. Whole Numbers from 0 to 20 3. Comparison of Numbers up to 20 Chapters Estimated Teaching Hours: 19 [Theory + Practical ]
8 Allied The Leading Mathematics 1 Theme I Me and My Family 9 ABOUT ME AND MY FAMILY Look, Think and Tell My name is Arun Tamang. I am 5 years old. I study in class 1. I live with my mum, dad and elder sister. We like cycling in the morning. My name is Amira Maharjan. I am 1 year older than Arun. I also study in class 1. I live with my grandmother and grandfather, mother and father, uncle and aunt, two elder sisters and one brother with together. A lovely puppy lives with us. Our family is a big and happy family. Look, Read and Do 1. How many members are in Arun Tamang's family? 2. How many members are in Amir Maharjan's family ? 3. What is the age of Arun Tamang ? 4. What is the age of Amira Maharjan ? 5. Whose family is big ? For YOU ! 1. What is your age ? 2. How many family members are there at your home ? 3. How many books are in your bag ? 4. How many note copies are in your bag ? 5. How many members are there in your best friends ? Ask with your friend then answer it.
8 Allied The Leading Mathematics 1 Theme I Me and My Family 9 PRE-NUMBER SKILLS (Concept of Place) Chapter 1 Lessons Pages 1.1 Concept of Place; Inside-Outside 10 1.2 Near-Far and Forward-Backward 12 1.3 Left-Right and Before-Between-After 14 1.4 Above-Below and On-Under 17 1.5 Bigger-Smaller and Thicker-Thinner 19 Project Work – 1 B 21 v Can you read and write the words mentioned in the picture? v Tell the name of the objects that are found at your home ? v Can you count your fingers of your hands ? v How many fingers are there in your one hand ? But in your both hands ? v Similarly, how many toes are there in your feet ? Warm-Up v To c Learning Outcomes:
10 Allied The Leading Mathematics 1 Theme I Me and My Family 11 1.1 Concept of Place; Inside-Outside Cat on the right and rat on the left Surprised I am between them. Ran the rat ahead and followed the cat. Climbed the rat on the tree, Waiting is the cat on the ground Hid the rat sometimes under the box, Searched the cat on the box. Ran the rat far away, Following the cat nearer to it, Went the rat quickly into the hole, The cat stayed waiting outside the hole, Surprised the cat is also like me. A. Concept of Place Sing a Song about Tom and Jerry Discuss the song of right-left and between, on-under, far-nearer, inside-outside, big-small, thicker-thinner etc. Right Left
10 Allied The Leading Mathematics 1 Theme I Me and My Family 11 B. Inside and Outside Look, Think and Tell (a) (b) (c) (d) Look, Read and Do 1. Tick () the inside object and cross (×) the outside object. 2. Count the inside and outside objects and tick () for more objects. (a) (b) Search the objects that are found inside and outside your home and list them in a table. Share it in your classroom. PR OJECT WORK 1A Inside Objects Outside Objects Where is Jerry ? Where is Tom ? Jerry is inside the hole. Tom is waiting outside the hole.
12 Allied The Leading Mathematics 1 Theme I Me and My Family 13 1.2 Near-Far and Forward-Backward A. Near and Far Look, Think and Tell Look, Read and Do 1. Tick () the nearer/closer object and cross (×) the farther object. 2. Count the nearer and farther objects and tick () for more objects. (a) (b) (c) (d) (a) (b) Who is near from the girl ? Who is far from the girl ? Jerry is near from the girl. Tom is far from the girl.
12 Allied The Leading Mathematics 1 Theme I Me and My Family 13 (a) (b) (a) (b) (a) (b) (a) (b) B. Forward- Backward Look, Think and Tell Look, Read and Do 1. Tick () the forward and cross (×) the backward. 2. Tick () the back. 3. Tick () the in front. 4. Count the fish in the forward group and backward group. Then tick () where more fish are. Where is Jerry ? Where is Tom ? Jerry is forward/in front than Tom. Tom is backward than Jerry.
14 Allied The Leading Mathematics 1 Theme I Me and My Family 15 1.3 Left-Right and Before-Between-After Look, Think and Tell A. Left and Right Which is your right hand ? Rise up. Which is your left hand ? Rise up. Which hand do you use to eat food ? Which is left or right among Tom and Jerry ? Right Left Look, Read and Do 1. Tick () the right and cross (×) the left object to the student. 2. Tick () the right object of the girl. 3. Tick () the left object of the boy. (a) (b) Boy Boy (a) (b) Girl Girl (a) (b) Boy Boy Left Right
14 Allied The Leading Mathematics 1 Theme I Me and My Family 15 Look, Think and Tell B. Before, Between and After Look, Read and Do 1. Tick () the before and cross (×) the after. 2. Tick () the after. 3. Tick () the between thing. (a) (b) (a) (b) (a) (b) Where are Tom and Jerry ? Tom is before the boy. Jerry is after the boy. So, where is the boy ? The boy is between Tom and Jerry.
16 Allied The Leading Mathematics 1 Theme I Me and My Family 17 4. Count the bottles left and right to the flowing pot. Then tick () where more bottles are. 5. Count the books left and right to the bag. Then tick () where more books are. 6. Count the children before and after of the gate. Then tick () where more children are. 7. Count the bikes before and after of the car. Then tick () where more bikes are. (a) (b) (a) (b)
16 Allied The Leading Mathematics 1 Theme I Me and My Family 17 1. Tick () the above and cross (×) the below thing. 2. Tick () the up object and cross (×) the down object. 3. Count the birds above the tree and below the tree. Then tick () for more birds. 1.4 Above-Below and On-Under Look, Think and Tell A. Above and Below (UP and Down) Where is the balloon? Where is the ball ? The balloon is above the joker. Why? The ball is below the joker. Why? UP Down above below More Height Low Height Look, Read and Do (a) (b) (c) (a) (b) (c) (a) (b)
18 Allied The Leading Mathematics 1 Theme I Me and My Family 19 1. Tick () the object that is on the table and cross (×) the object that is under the table. 2. Count the objects on the chair and under the chair. Then tick () for more objects. Look, Think and Tell A. On and Under Where is Maya sitting? Where is Amar sitting? Maya is sitting on the bench. Amar is sitting under the table. Look, Read and Do Maya Amar (a) (b) (c) (d) (e) (e) (a) (b) (c)
18 Allied The Leading Mathematics 1 Theme I Me and My Family 19 (a) (b) (c) (d) 1.5 Bigger-Smaller and Thicker-Thinner Look, Think and Tell A. Bigger and Smaller Which is bigger watermelon or apple? Which is smaller watermelon or apple? The watermelon is bigger than the apple. The apple is smaller than the watermelon. Look, Read and Do 1. Tick () the big one. 2. Tick () the small one. (a) (b) (c) (d)
20 Allied The Leading Mathematics 1 Theme I Me and My Family 21 (a) (b) (c) (d) B. Thicker and Thinner Who is thicker among Motu or Patlu? Who is thinner among Motu or Patlu? Motu is thicker than Patlu. Patlu is thinner than Motu. Look, Read and Do 1. Tick () the thicker one. 2. Tick () the thinner one. (a) (b) (c) (d)
20 Allied The Leading Mathematics 1 Theme I Me and My Family 21 3. Count the thicker and thinner bottles on the table. Then tick () more bottles among thicker and thinner. 4. Count the thicker and thinner books on the table. Then tick () more books among thicker and thinner. Search the objects that are found at home and surroundings and list them. Tabulate them as Above-Below, Bigger-Smaller and ThickerThinner. Above Below Bigger Smaller Thicker Thinner PR OJECT WORK 1 A
22 Allied The Leading Mathematics 1 Theme I Me and My Family 23 HINDU-ARABIC AND DEVANAGARI NUMERALS UP TO 20 Chapter 2 Lessons Pages 2.1 Concept of Numbers 23 2.2 More and Less Objects 25 2.3 Counting and Reading Numbers up to 9 27 2.4 Writing Numerals From 1 to 9 31 2.5 The Numeral Zero (0) 35 Maths is Easy 39 2.6 Counting and Writing Number 10 40 Project Work – 2 (A) 42 Maths is Everywhere 43 2.7 Groping One Ten and Ones 44 2.8 Numerals From 11 to 20 46 Maths is Creative 49 2.9 Devanagari Numerals From 0 to 20 50 Project Work – 2 (B) 54 Maths Activities 55 v Can you count the objects ? v Do you write tick mark, vertical bar, slant bar and horizontal bar ? v Do you draw the curve lines ? Warm-Up v Count, read and write the numerals upto 20 in Hindu-Arabic and Devanagari numeral systems. Learning Outcomes: Horizontal Vertical Diagonal Zigzag Wavy Curved
22 Allied The Leading Mathematics 1 Theme I Me and My Family 23 Sing the Number Song 1 to 10 One; he is alone. He is the very first number. Two; me a pair Two hands, two eyes, two ears, two legs Three; one, two, three There will three little pigs and big bat wolf. Four; one, two, three, four The butterfly flies with wings four Five; one, two, three, four, five I have five fingers on my hand. Six; here is six There are six strings on a guitar. Seven; colours there are seven colour in a rainbow. Eight; look the incy wincy spider has eight legs. Nine; One, two, three, four, five, six, seven, eight, nine. Ten; there are ten blowing pins on duck falling length. One, two, three, four, five, six, seven, eight, nine and ten. Look, Think and Tell 2.1 Concept of Numbers
24 Allied The Leading Mathematics 1 Theme I Me and My Family 25 Study the picture and answer the questions. How many TVs are there in the picture? Say. How many tables are there in the picture? Say. How many legs are there with the spider? Say. How many books are there on the table? Say. How many colours are there in the rainbow? Say. How many mirrors are there on the cupboard? Say. Which item is more in number and which item is less ? Say. Why do we use the numbers ? Say. Look, Think and Tell
24 Allied The Leading Mathematics 1 25 Creative Maths - I Theme I Me and My Family 25 Which are more or less in number the pencils or students? Distribute one pencil to each student. One pencil is left. So, pencils are more and students are less. Look, Think and Tell 1. Tick () the objects more in number. a. b. c. d. Look, Read and Do 2.2 More and Less Objects
26 Allied The Leading Mathematics 1 Creative Maths - I 26 Theme I Me and My Family 27 2. Tick () the objects less in number. 3. Tick () the objects more in number. a. b. c. d. a. b. c. d.
26 Allied The Leading Mathematics 1 Theme I Me and My Family 27 One-one-one, my mother one Two-two-two, our eyes two Three-three-three, hands of a watch three Four-four-four, legs of a table four Five-five-five, fingers of a hand five Six-six-six, legs of an ant six Seven-seven-seven, days of a week seven Eight-eight-eight, planets are eight Nine-nine-nine, don't count stars at night Let's tell the numbers from one to nine. One, Two, Three, Four, Five, Six, Seven, Eight, Nine Count the different objects around you. Look, Read and Tell Sing a song from 1 to 9 2.3 Counting and Reading Numbers up to 9
28 Allied The Leading Mathematics 1 Theme I Me and My Family 29 One-one-one, standing one finger for unity 1 Two-two-two, the neck of duck like as two 2 Three-three-three, like shape of lip three 3 Four-four-four, like a winning flag four 4 Five-five-five, like serpentine road five 5 Six-six-six, like shell of snail six 6 Seven-seven-seven, like neck of giraffe seven 7 Eight-eight-eight, like body of spider eight 8 Nine-nine-nine, like head of elephant nine. 9 Look, Read and Tell Note: The symbols used for counting the number of objects are called numerals. The numerals 1, 2, 3, 4, ... are used for counting the objects, called Counting Numbers or Natural Numbers. The counting symbols 1, 2, 3 ........., 9 are called digits.
28 Allied The Leading Mathematics 1 Theme I Me and My Family 29 1. Match with the numerals. Three Five One Seven Two Nine Eight Four Six Flag Eyes Wheels Legs Fingers Legs Legs Stones Colours Look, Read and Do
30 Allied The Leading Mathematics 1 Theme I Me and My Family 31 2. Count the objects and match with correct numerals. 1 2 3 4 5 6 8 9 7
30 Allied The Leading Mathematics 1 Theme I Me and My Family 31 1. Count the fingers. Trace and write the numerals from 1 to 9 in Hindu-Arabic numeral system. 1 2 3 4 5 6 7 8 9 Look, Read and Do 2.4 Writing Numerals From 1 to 9
32 Allied The Leading Mathematics 1 Theme I Me and My Family 33 2. Count the following kitchen utensils. Write the numerals of like utensils in the boxes below. Gas stove = 4 Rice cooker = 10 Pressure cooker= 10 Colander = 10 Plate = 10 Bowl = 10 Jug = Ladle = 10 Cup = 10 Fork = 10 Strainer = 10 Knife = 10
32 Allied The Leading Mathematics 1 Theme I Me and My Family 33 3. Write the missing numerals. 1 3 5 7 9 1 5 8 2 4 6 8 1 4 7 1 4 9
34 Allied The Leading Mathematics 1 Theme I Me and My Family 35 How many biscuits are there on the plate? There are four biscuits. A mouse came and took a piece away. Now, tell how many biscuits are there ? Next mouse came and took a piece away. How many biscuits are there ? Third mouse came and took next piece away. How many biscuits are left on the plate? Fourth mouse came and took next piece away. Tell, how many biscuits are left at last ? There is no biscuits on it. This is called zero in mathematics like a round plate. Now, tell There were three apples on a plate. If three children eat one apple each, how many apples are there on the plate ? There is an empty plate, no apple in it. This is denoted by zero like as a round plate. Look, Read and Tell 2.5 The Numeral Zero (0)
34 Allied The Leading Mathematics 1 Theme I Me and My Family 35 How many fish are there in the aquarium? If one fish is caught by the net, how many fish remain in it? What is the meaning of Zero? "Nothing" Nothing means "There is none object in it." We use '0' for zero like the shape of fishing net.. When zero (0) is included in the natural numbers, it completes the sense of numbers. So, the numbers counting from 0, 1, 2, 3, 4, ...... are called whole numbers. 1. Trace and write zero. Look, Read and Tell Look, Read and Do So, the digits of whole numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. There are only 10 digits in numeral system.
36 Allied The Leading Mathematics 1 Theme I Me and My Family 37 2. Match the numerals from 0 to 9 with dot cards and tally bars. 3 4 1 2 8 9 7 5 6 0
36 Allied The Leading Mathematics 1 Theme I Me and My Family 37 4. Complete the whole numbers (W) from 0 to 9. 3. Count and write the numerals of the objects on the plate. W
38 Allied The Leading Mathematics 1 Theme I Me and My Family 39 5. Study the picture given. Count the objects and answer the following questions. a. How many candles are there on the table ? b. How many clothes are there on the hanger ? c. How many persons are there in the room ? d. How many bananas are there on the table? e. How many dogs are there on the sofa? f. How many tables are there in the room? g. How many wall lamps are there on the wall ? h. How many pictures are there on the wall ? i. How many computer sets are there in the room?
38 Allied The Leading Mathematics 1 Theme I Me and My Family 39 Count the pencils and pens in the pencil cases and write the correct numerals in digit. MATHS IS EASY
40 Allied The Leading Mathematics 1 Theme I Me and My Family 41 1 2 3 4 5 1 One 2 Ones 3 Ones 4 Ones 5 Ones 6 7 8 9 10 6 Ones 7 Ones 8 Ones 9 Ones 10 Ones 5 ones 5 ones 10 1 Ten 0 Ones 10 Ones is 1 Ten 1. Trace the numerals and copy them down. Numerals from 0 to 10 in the number line. Look, Read and Speak 0 1 2 3 4 5 6 7 8 9 10 Look, Read and Do 2.6 Counting and Writing Number 10
40 Allied The Leading Mathematics 1 Theme I Me and My Family 41 2. Count the objects and write the correct numerals in digit.
42 Allied The Leading Mathematics 1 Theme I Me and My Family 43 3. Count the like objects in the picture. Write in the numerals in the given boxes. Count any ten goods (not more than 10 items) at your home and write in numerals. Present it in your classroom. PR OJECT WORK 2(A)
42 Allied The Leading Mathematics 1 Theme I Me and My Family 43 Look at the pictures and write correct numerals. __1__ man has __1__ nose. ____ horse has ____ tail. ____ cow has ____ horns. ____ cycle has ____ wheels. ____ triangle has ____ sides. ____ riksha has ____ wheels. ____ clock has ____ hands. ____ goat has ____ legs. ____ car has ____ wheels. ____ quadrilateral has ____ corners. ____ hand has ____ fingers. ____ ant has ____ legs. ____ rainbow has ____ colours. ___ spider has ____ legs. ____ hands have ____ fingers. MATHS IS EVERYWHERE
44 Allied The Leading Mathematics 1 Theme I Me and My Family 45 Look, Read and Speak Let's group into ten and ones 5 sticks 5 sticks 10 sticks 5 blocks 5 blocks 10 blocks 5 dots 5 dots 10 dots 5 ones 5 ones 1 ten 1 ten 2 ones 1 ten 4 ones 2.7 Groping One Ten and Ones
44 Allied The Leading Mathematics 1 Theme I Me and My Family 45 1. Group the following objects in ten and ones. Look, Read and Do
46 Allied The Leading Mathematics 1 Theme I Me and My Family 47 Look, Read and Tell How many dotes are there in the cards? 1. Write Hindu-Arabic numerals from 11 - 20. Numerals in the number line 11 1 1 10 10 10 10 9 9 8 8 7 7 6 6 5 5 4 4 3 3 2 2 1 ten and 1 one = 10 + 1 = 11 1 ten and 2 ones = ......... + ....... = ......... 1 ten and 3 ones = ......... + ....... = ......... 1 ten and 4 ones = ......... + ....... = ......... 1 ten and 5 ones = ......... + ....... = ......... 1 ten and 6 ones = ......... + ....... = ......... 1 ten and 7 ones = ......... + ....... = ......... 1 ten and 8 ones = ......... + ....... = ......... 1 ten and 9 ones = ......... + ....... = ......... 2 tens = ......... + ....... = ......... 1 1 10 10 2 2 10 10 1 1 10 10 3 3 10 10 5 5 10 10 10 10 6 6 10 10 9 9 10 10 7 7 10 10 10 10 10 10 10 10 4 4 8 8 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Look, Read and Do 2.8 Numerals From 11 to 20
46 Allied The Leading Mathematics 1 Theme I Me and My Family 47 11 12 13 14 15 16 18 19 20 17 2. Count the objects and match with the correct numerals.
48 Allied The Leading Mathematics 1 Theme I Me and My Family 49 3. Write the missing numerals. 11 13 15 17 19 11 15 18 12 14 16 18 11 14 17 11 14 19 15 18 13
48 Allied The Leading Mathematics 1 Theme I Me and My Family 49 Join the dots of each consecutive numerals and colour the pictures. 2 3 4 5 6 7 8 9 10 1 10 9 8 7 6 5 4 3 2 1 MATHS IS CREATIVE
50 Allied The Leading Mathematics 1 Theme I Me and My Family 51 Look, Read and Speak 1. Count the fingers and tell the numbers from 0 to 10 in HinduArabic and Devanagari numbers. Fingers Hindu-Arabic Numerals Devanagari Numerals 0 ) 1 ! 2 @ 3 # 4 $ 5 % 6 ^ 7 & 8 * 9 ( 10 !) 2.9 Devanagari Numerals From ) to @)