MATHS TEXTBOOK – Grade 1 Name: _________________________ Section: ________Roll No: _______ School: ________________________
Contents Class Part 1 1 3 Numbers 25 35 3.1 Count in Ones and Tens 43 3.2 Compare 2-digit Numbers 74 Addition 398452016+-x4.1 Add 1-digit and 2-digit Numbers NR_BGM_9789388402422 PASSPORT G01 MATHS WORKBOOK PART 1_Text.pdf 4 12/19/2018 11:57:03 AM
Chapter Numbers 3 I Will Learn About • the concept of zero. • the sequence of numbers up to 99. • place value and face value of numbers. • writing number names. • comparing, ordering and forming numbers. Concept 3.1: Count in Ones and Tens I Think Bantei has five sticks. He counted them one by one. His father gave him more sticks to count. Is it easy to count them one by one? Is there an easier way? 3.1 I Recall We have learnt to count objects and write their numbers. NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 29 25 12/19/2018 12:24:11 PM
Counting by 1s The numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 are called 1-digit numbers. They are also called single digit numbers. Colour the picture given. Use the colours as given for the numbers. 1 (One) 2 (Two) 3 (Three) 4 (Four) 5 (Five) 6 (Six) 7 (Seven) 8 (Eight) 9 (Nine) 26 12/19/2018 12:24:12 PM NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 30
3.1 I Remember and Understand There are 5 ducks in a pond. They flew away one by one. At last, there are no ducks in the pond. Let us learn to represent this using a number. Introducing ‘0’ 1 duck flew away. 2 ducks flew away. 4 ducks are in the pond. 3 ducks are in the pond. 3 ducks flew away. 4 ducks flew away. 2 ducks are in the pond. 1 duck is in the pond. All ducks flew away. So, there are ‘zero’ ducks in the No ducks are in the pond. pond. If there are no objects, we write NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 31 it as zero (0). Numbers 27 12/19/2018 12:24:12 PM
Example 1: Count the number of animals. Write the numbers in the boxes. One is done for you. Animals Numbers 4 Counting by 10s Let us say shows 1. Ten such boxes show a 10. So, = 10 ones = 1 ten Counting is easy if we group things into bundles of ten. We can make such collections of 10 with different things. 1 ten of balls 1 ten of books 1 ten of logs 28 12/19/2018 12:24:12 PM NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 32
Suppose we are given 34 logs of wood to count. First, we count 10 logs and make a bundle. So, one bundle has ten wooden logs. With 34 logs, we can make 3 bundles. 3 tens (written as 30) 4 ones Thus, 4 logs of wood remain. We count these remaining Each digit has its logs in ones. The total number of wooden logs can be place and place written as 3 tens and 4 ones. value in the place value chart. The number 34 has two digits. So, we use the tens (T) and the ones (O) places for two digits. Thus, we Place Value Chart write the number 34 in a place value chart as shown. Places Tens (T) Ones (O) Abacus counting Values 3 4 We can show 2-digit numbers using an abacus. Let us show the number 9 using a spike abacus. One shows the We show a digit in the number 1. ones place with a blue bead. See Fig. (a). Nine in the ones spike 9 blue beads show 9 in show the number 9. the ones place. Each TO TO TO One shows the spike of an abacus number 10. can have only 9 Fig. (a) Fig. (b) beads. See Fig. (b). To show the number 10, we remove all the blue beads. We then put 1 green bead in the tens spike. The tens spike represents the tens place. Let us show the number 34 using a spike abacus. We put 3 green beads in the tens spike. We then put 4 blue beads in the ones spike. In the same way, we can show the numbers 46 and 99 on the abacus. Numbers 29 NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 33 12/19/2018 12:24:12 PM
So, 34 is 3 tens and 4 ones, 46 is 4 tens and 6 ones and 99 is 9 tens and 9 ones. TO TO TO shows 34 shows 46 shows 99 Number names Let us now learn the number names from 10 to 99. 10 ― Ten 20 ― Twenty 30 ― Thirty 11 ― Eleven 21 ― Twenty-one 31 ― Thirty-one 12 ― Twelve 22 ― Twenty-two 32 ― Thirty-two 13 ― Thirteen 23 ― Twenty-three 33 ― Thirty-three 14 ― Fourteen 24 ― Twenty-four 34 ― Thirty-four 15 ― Fifteen 25 ― Twenty-five 35 ― Thirty-five 16 ― Sixteen 26 ― Twenty-six 36 ― Thirty-six 17 ― Seventeen 27 ― Twenty-seven 37 ― Thirty-seven 18 ― Eighteen 28 ― Twenty-eight 38 ― Thirty-eight 19 ― Nineteen 29 ― Twenty-nine 39 ― Thirty-nine 40 ― Forty 50 ― Fifty 60 ― Sixty 41 ― Forty-one 51 ― Fifty-one 61 ― Sixty-one 42 ― Forty-two 52 ― Fifty-two 62 ― Sixty-two 43 ― Forty-three 53 ― Fifty-three 63 ― Sixty-three 44 ― Forty-four 54 ― Fifty-four 64 ― Sixty-four 45 ― Forty-five 55 ― Fifty-five 65 ― Sixty-five 46 ― Forty-six 56 ― Fifty-six 66 ― Sixty-six 47 ― Forty-seven 57 ― Fifty-seven 67 ― Sixty-seven 48 ― Forty-eight 58 ― Fifty-eight 68 ― Sixty-eight 49 ― Forty-nine 59 ― Fifty-nine 69 ― Sixty-nine 30 12/19/2018 12:24:12 PM NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 34
70 ― Seventy 80 ― Eighty 90 ― Ninety 71 ― Seventy-one 81 ― Eighty-one 91 ― Ninety-one 72 ― Seventy-two 82 ― Eighty-two 92 ― Ninety-two 73 ― Seventy-three 83 ― Eighty-three 93 ― Ninety-three 74 ― Seventy-four 84 ― Eighty-four 94 ― Ninety-four 75 ― Seventy-five 85 ― Eighty-five 95 ― Ninety-five 76 ― Seventy-six 86 ― Eighty-six 96 ― Ninety-six 77 ― Seventy-seven 87 ― Eighty-seven 97 ― Ninety-seven 78 ― Seventy-eight 88 ― Eighty-eight 98 ― Ninety-eight 79 ― Seventy-nine 89 ― Eighty-nine 99 ― Ninety-nine Let us see a few examples. Example 2: Count the number of objects. Write the number and its number name. Solution: The numbers and the number names of the objects are: Objects Number and number name 32 a) Thirty-two 17 b) Seventeen 61 c) Sixty-one Numbers 31 NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 35 12/19/2018 12:24:12 PM
Example 3: W rite the places for each of the given numbers. Then, show them on a spike abacus. a) 13 b) 29 c) 64 Solution: Number T O a) 13 1 3 b) 29 2 9 c) 64 6 4 TO TO TO a) 13 b) 29 c) 64 Train My Brain Write the number names of the following: a) 1 ten and 4 ones = ____________________________ b) 4 tens and 5 ones = ____________________________ c) 7 tens and 8 ones = ____________________________ 32 12/19/2018 12:24:12 PM NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 36
Concept 3.2: Compare 2-digit Numbers I Think Bantei has 59 marbles and his sister has 95 marbles. How will they know who has more marbles? 3.2 I Recall Observe the given picture. It shows cars of different colours. The red car is before The blue car is The black car is the blue car. between the red and after the blue car. the black cars. The words before, after and between give the positions of a car. In the same way, we can identify the numbers before and after a number. Look at these numbers. 1 2 3 4 5 6 7 8 9 10 11 12 20 19 18 17 16 15 14 13 Numbers 35 NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 39 12/19/2018 12:24:12 PM
We see that 4 is before 5 and 5 is after 4. Fill in the blanks with before, between or after numbers. a) _____ is before 14. b) 15 is after _____. c) 7 is between 6 and _____. 3.2 I Remember and Understand Comparing 2-digit numbers is similar to comparing 1-digit numbers. We can order the numbers after comparing them. Let us learn this concept. Before and after numbers Read the following: a) 11 comes before 12; 12 comes after 11. b) 9 comes before 10 and after 8. So, 9 lies between 8 and 10. c) 1 5 comes before 16 and after 14. So, 15 lies between 14 and 16. Example 9: Write the numbers that come before and after: a) 96 b) 31 c) 49 d) 55 e) 60 Solution: The numbers before and after the given numbers are: Number Before Number After Number 96 95 97 31 30 32 49 48 50 55 54 56 60 59 61 Compare numbers The symbol for greater than is >. The symbol for less than is <. We use the concept of more and less to The symbol for equal to is =. find the greater and the lesser numbers. 36 12/19/2018 12:24:12 PM NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 40
Observe the following picture. The crocodile’s mouth is open The crocodile’s mouth is closed where there are more fish. where there are less fish. 2 is less than 3. 4 is more than 1 or 2 is smaller than 3 We write it as 2 < 3. 4 is greater than 1. We write it as 4 > 1. When both the numbers are the same, we say that both are equal to each other. We write as 4 = 4. Let us see a few examples of using the symbols <, > and =. Example 10: Fill in the blanks with the correct symbols (<, > or = ). a) 23 ______ 21 b) 99 ______ 98 c) 54 ______ 74 d) 13 ______ 13 e) 4 _______ 7 Solution: a) > b) > c) < d) = e) < Train My Brain Write the numbers that come before and after the given numbers: a) ____, 32, ____ b) _____, 40, ____ c) ____, 25, ____ Numbers 37 NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 41 12/19/2018 12:24:12 PM
Chapter Addition 4 I Will Learn About • adding numbers up to 99 without regrouping. • adding two 1-digit numbers mentally. • different methods of adding numbers. Concept 4.1: Add 1-digit and 2-digit Numbers I Think Bantei can count and add the number of his toys. His father asks him to add 35 and 22. He does not have that many objects to count and add. How can he add these numbers? NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 47 43 12/19/2018 12:24:13 PM
4.1 I Recall Let us recall counting of objects. Look at the vegetables given. Count and write their numbers in the boxes. Vegetables Number a) b) c) d) e) 44 12/19/2018 12:24:13 PM NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 48
4.1 I Remember and Understand A pencil stand has 3 pencils as shown in Fig. (a). Another pencil stand has 4 pencils as shown in Fig. (b). We count the pencils in the two stands continuously. The Fig. (a) Fig. (b) last number gives the total number of pencils. Counting the number of objects together is called addition. The answer in addition is called the sum. We use the symbol ‘+’ (read as plus) for addition. Example 1: Count and write the correct number of objects. One is done for you. a) 1 89 b) Addition 45 NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 49 12/19/2018 12:24:13 PM
c) Methods of addition: The words add, total, 1) Addition using fingers together, in all, altogether 2) Addition using the number line and sum are some words 3) Vertical or column addition used in addition. Let us understand these methods. Addition using fingers Observe these fingers. Each of them shows the number given. 46 12/19/2018 12:24:13 PM NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 50
Let us learn to add two numbers using fingers. Example 2: Add using fingers: a) 4 and 3 b) 1 and 5 c) 5 and 5 Solution: a) 4 + 3 += Open 4 fingers on one hand. Open 3 fingers on the other. B egin counting the fingers on one hand. Continue to count the fingers on the other hand. The number counted for the last finger is the sum or total. So, 4 + 3 = 7. b) 1 + 5 += So, 1 + 5 = 6. c) 5 + 5 += So, 5 + 5 = 10. Addition 47 NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 51 12/19/2018 12:24:13 PM
Addition using the number line A line marked with numbers is called the number line. We use it to add numbers. Let us see an example. Example 3: Add using the number line: a) 2 and 3 b) 4 and 4 c) 3 and 4 Solution: a) Let us find 2 + 3 using the number line. Draw an arrow from 0 to 2. T o add 3 to 2, we move 3 steps to the right of 2. Draw arrows for each step as shown. The number at which the steps end is 5. So, 2 + 3 = 5. b) 4 + 4 So, 4 + 4 = 8. c) 3 + 4 So, 3 + 4 = 7. 12/19/2018 12:24:13 PM 48 NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 52
Vertical or column addition We can add numbers by writing them one below the other. This is called vertical addition or column addition. Let us see a few examples. Addition of 1-digit numbers Example 4: Add 6 and 2 by writing the numbers in columns. Solution: Write the numbers under the ones place, as shown. O 6 +2 8 Addition of 2-digit numbers Example 5: Add the following by writing the numbers in columns. 23 + 32 Step 2: Add the tens Solution: Step 1: Add the ones TO TO 23 23 +32 +32 5 5 5 Solve these TO TO TO 41 14 78 +2 8 +3 3 +2 1 Addition 49 NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 53 12/19/2018 12:24:13 PM
Train My Brain Add the following numbers. a) 3 + 7 (Using fingers) b) 6 + 5 (Using a number line) c) 15 + 14 (Using vertical addition) 50 12/19/2018 12:24:13 PM NR_BGM_9789388700863 PASSPORT G01 MATHS TEXTBOOK PART 1_Text.pdf 54
Contents Class Part 2 1 5 Subtraction 1 398452016+7-x5.1 Subtract 1-digit and 2-digit Numbers NR_BGM_9789388700894 PASSPORT G01 MATHS TEXTBOOK PART 2_Text.pdf 4 12/19/2018 2:03:03 PM
Chapter Subtraction 5 I Will Learn About GLIIHUHQWPHWKRGVRI VXEWUDFWLQJQXPEHUV VXEWUDFWLQJQXPEHUVXSWR ZLWKRXWUHJURXSLQJ Concept 5.1: Subtract 1-digit and 2-digit Numbers I Think %DQWHLKDVWRIIHHV+HJDYHWRIIHHVWRKLVVLVWHU%DQWHLZDQWVWRNQRZ KRZPDQ\\WRIIHHVUHPDLQZLWKKLP+RZGR\\RXWKLQN%DQWHLFDQÀQGWKDW\" 5.1 I Recall /RRNDWWKHYHJHWDEOHVJLYHQ$IHZRIWKHYHJHWDEOHVDUHFXWLQHDFK TXHVWLRQ)LQGWKHUHPDLQLQJQXPEHURIYHJHWDEOHV Vegetables Number D NR_BGM_9789388700894 PASSPORT G01 MATHS TEXTBOOK PART 2_Text.pdf 5 1 12/19/2018 2:03:04 PM
Vegetables Number E F G 5.1 I Remember and Understand 7KHUHDUHDQLPDOVLQDIDUP RIWKHPZHQWDZD\\:HQRZFRXQWWKHQXPEHURIDQLPDOVOHIWLQWKHIDUP 2 12/19/2018 2:03:04 PM NR_BGM_9789388700894 PASSPORT G01 MATHS TEXTBOOK PART 2_Text.pdf 6
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Example 2: 6XEWUDFWXVLQJÀQJHUV Solution: DIURPEIURPFIURP D6 XEWUDFWLQJIURP 2 SHQÀQJHUVRQWKHWZRKDQGV &ORVHWZRÀQJHUV &RXQWWKHRSHQÀQJHUVRQWKHKDQGV7KH\\ DUHLQQXPEHU6RWKHGLIIHUHQFHRIWKH JLYHQQXPEHUVLV 7KDWLV² E ² 2SHQÀQJHUV &ORVHÀQJHUV &RXQWWKHRSHQÀQJHUV7KH\\DUHLQQXPEHU 6R² F² 2SHQÀQJHUVRQWKHWZRKDQGV &ORVHÀQJHUV &RXQWWKHRSHQÀQJHUV 6R² Subtraction using the number line $OLQHPDUNHGZLWKQXPEHUVLVFDOOHGDnumber line :HFDQXVHWKHQXPEHUOLQHWRVXEWUDFWQXPEHUV/HWXVVHHDQH[DPSOH Example 3: 6ROYHXVLQJWKHQXPEHUOLQHD²E²F² Solution: D7 RÀQG²XVLQJWKHQXPEHUOLQHZHVWDUWIURP Subtraction 5 NR_BGM_9789388700894 PASSPORT G01 MATHS TEXTBOOK PART 2_Text.pdf 9 12/19/2018 2:03:04 PM
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Vertical or column subtraction :HFDQVXEWUDFWE\\ZULWLQJWKHVPDOOHUQXPEHUEHORZWKHELJJHURQH7KLVLV FDOOHGvertical subtractionRUcolumn subtraction/HWXVVHHDIHZH[DPSOHV Subtraction of 1-digit numbers Example 4: 6XEWUDFWIURPE\\ZULWLQJWKHQXPEHUVLQFROXPQV Solution: :ULWHWKHJLYHQQXPEHUVXQGHUWKHRQHVSODFHDVVKRZQ O 9 – Subtraction of 2-digit numbers Example 5: 6XEWUDFWIURPE\\ZULWLQJWKHQXPEHUVLQFROXPQV Solution: )ROORZWKHVWHSVWRVXEWUDFW Step 1: 6XEWUDFWWKHRQHV Step 2: 6XEWUDFWWKHWHQV T O TO 5 7 –3 2 –3 2 3 43 TO Solve these TO 8 – TO –2 3 8 – 2 Subtraction 7 NR_BGM_9789388700894 PASSPORT G01 MATHS TEXTBOOK PART 2_Text.pdf 11 12/19/2018 2:03:04 PM
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