1 MATHEMATICS TEXTBOOK PART-2 Name: ____________________________ Section: ________________ Roll No.: ______ School: ____________________________
Preface ClassKlap partners with schools, supporting them with learning materials and processes that are all crafted to work together as an interconnected system to drive learning. ClassKlap presents the latest version of the VISA NEP series – updated and revised after considering the perceptive feedback and comments shared by our experienced reviewers and users. Designed specifically for CBSE schools, the VISA NEP series endeavours to be faithful to the spirit of the National Curriculum Framework (NCF) 2005. Therefore, our books strive to ensure inclusiveness in terms of gender and diversity in representation, catering to the heterogeneous Indian classroom. The books are split into two parts to manage the bag weight. The aim of the NCF 2005 regarding Mathematics teaching is to develop the abilities of a student to think and reason mathematically, pursue assumptions to their logical conclusion and handle abstraction. The VISA NEP Mathematics textbooks and workbooks for CBSE schools offer the following features: S tructured as per Bloom’s taxonomy to help organise the learning process according to the different levels involved Student engagement through simple, age-appropriate language Supported learning through visually appealing images, especially for grades 1 and 2 Increasing rigour in sub-questions for every question in order to scaffold learning for students W ord problems based on real-life scenarios, which help students to relate Mathematics to their everyday experiences Mental Maths to inculcate level-appropriate mental calculation skills S tepwise breakdown of solutions to provide an easier premise for learning of problem-solving skills Overall, the ClassKlap VISA NEP Mathematics textbooks, workbooks and teacher companion books aim to enhance logical reasoning and critical thinking skills that are at the heart of Mathematics teaching and learning. – The Authors
I Will Learn About I Recall Contains the list of learning objectives to be covered in the Discusses the prerequisite chapter knowledge for the concept from the previous academic I Think year/chapter/concept/term Introduces the concept and arouses curiosity among students I Remember and Understand Train My Brain Explains the elements in detail that Checks for learning to gauge the form the basis of the concept Ensures understanding level of students, that students are engaged in learning testing both skill and knowledge throughout Pin-up Note Contains key retention points concerning the concept I Apply I Explore (H.O.T.S.) Connects the concept to Encourages students to extend real-life situations by enabling the concept learnt to advanced students to apply what has been scenarios learnt through the practice questions Connect the Dots Maths Munchies A multidisciplinary section that Aims at improving speed of connects a particular topic to calculation and problem solving other subjects in order to enable with interesting facts, tips or tricks students to relate better to it Drill Time A Note to Parent Additional practice questions at (QJDJHV¬DSDUHQWLQWKH the end of every chapter out-of-classroom learning of their child and conducting activities to reinforce the learnt concepts
Contents Class 1 5 Subtraction 5.1 Subtract 1-digit and 2-digit Numbers.............................................................. 1 6 Time 6.1 Earlier and Later............................................................................................... 12 76.2 Long and Short................................................................................................. 18 0 +7 Money 1 -7.1 Identify Common Currency Notes and Coins .............................................. 27 3 46 x7.2 Put Together Small Amounts of Money ......................................................... 32 958 Measurements 8 28.1 Measure Short Lengths Using Non-Standard Units ....................................... 39 8.2 Compare Heavy and Light Objects .............................................................. 45 9 Data Handling 9.1 Collect, Represent and Interpret Data .......................................................... 57
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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
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Solution: O 8 – 6WDPSVZLWK$QLO 6WDPSVJLYHQWR5LWD 6WDPSVUHPDLQLQJZLWK$QLO O 6WDPSVUHPDLQLQJZLWK$QLO –2 6WDPSVJLYHQWR0DKHVK 2 6WDPSVUHPDLQLQJZLWK$QLO 6RVWDPSVDUHOHIWZLWK$QLO Maths Munchies 7RVXEWUDFWGLJLWQXPEHUVTXLFNO\\IROORZWKHVHVWHSV 213 6XEWUDFWIURP :HVXEWUDFWWHQVIURPWHQVRQHVUHPDLQ7KLVTXLFNPHWKRGXVHV UHJURXSLQJ ,QWKHVDPHZD\\ 23 PLQXV DRQHVUHPDLQLIZHVXEWUDFW PLQXV IURP WHQVRQHVPLQXV WHQV ERQHVUHPDLQLIZHVXEWUDFW IURP Connect the Dots EVS Fun <RXKDYHPLONWHHWK,IVRPHRIWKHPIDOORXW\\RXFDQÀQGWKHUHPDLQLQJ E\\VXEWUDFWLRQ Subtraction 9
English Fun 7KHUHDUHOHWWHUVLQWKH(QJOLVKDOSKDEHW2XWRI WKHVHDUHYRZHOV7KHUHVWDUHFRQVRQDQWV7RÀQG WKHQXPEHURIFRQVRQDQWVZHVXEWUDFWIURP :HJHWWKHGLIIHUHQFHDV6RWKHUHDUH FRQVRQDQWVLQWKH(QJOLVKDOSKDEHW Drill Time Concept 5.1: Subtract 1-digit and 2-digit Numbers 1) Subtract the numbers using the number line. DIURP EIURP FIURP GIURP HIURP 2) Subtract the numbers by vertical or column method. DIURP EIURP FIURP GIURP HIURP 3) Word problems D3 HUF\\KDGSHQFLOV+HORVWRIWKHP+RZPDQ\\SHQFLOVDUHOHIW ZLWKKLP\" E6 DKLOKDVPDUEOHV9LYHNKDVPDUEOHV:KRKDVIHZHUPDUEOHV DQGKRZPDQ\\OHVV\" 10
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Drill Time Concept 6.1: Earlier and Later 1) Tick the activity which comes later than the other in given pairs of activities. D E F G 24
Drill Time 2) Arrange the activities from morning to evening by giving numbers LQWKHER[HV8VHIRUWKHÀUVWDFWLYLW\\GRQHLQWKHPRUQLQJ. Concept 6. 2: Long and Short 3) Tick '9· the activity that takes more time and cross ‘8’ the activity that takes less time. D E Time 25
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Example 4: 2EVHUYHWKHUDWHRIHDFKNLQGRIIUXLWJLYHQEHVLGHLW Grapes Bananas Watermelon ` 60 ` 40 ` 60 Apple Pear ` 40 ` 25 Orange Blueberries Strawberry ` 40 ` 90 ` 10 )LOOLQWKHEODQNVZLWKWKHUDWHVRIWKHIUXLWVJLYHQ2QHLVGRQHIRU\\RX ` 40 30
7.1 I Explore (H.O.T.S.) 6RPHWLPHVZHJXHVVWKHPRQH\\QHHGHGWREX\\WKHWKLQJVZHQHHG/HWXVVHH DIHZH[DPSOHV Example 5: 0RQDKDVDQRWHRI`DQGDQRWHRI`6KHDOVRKDVDQRWH RI`7KHER[VKRZVVRPHREMHFWVZLWKWKHLUUDWHV :ULWHWKHQDPHVRIWKHREMHFWVWKDW0RQDFDQEX\\IRU D`E`F` Item Price Item Price $SDLURI ` 20 $SDLURI ` 50 VRFNV VOLSSHUV $IURFN ` 80 $ELJ FRORXULQJ ERRN ` 100 Money 31
Solution: 7KLQJVWKDW0RQDFRXOGEX\\IRU D`$SDLURIVOLSSHUV E`$SDLURIVRFNV F`$ELJFRORXULQJERRN Concept 7.2: Put Together Small Amounts of Money I Think %DQWHLOLNHVDVWLFNHURI%DWPDQ+HZDQWVWREX\\LW ,WFRVWV`+RZFDQ%DQWHLSD\\IRUWKHVWLFNHUXVLQJ GLIIHUHQWFRLQV\" 7.2 I Recall :HKDYHOHDUQWDERXWFRLQVDQGFXUUHQF\\QRWHV,GHQWLI\\WKHFRLQVDQGQRWHV :ULWHWKHPLQÀJXUHV D E BBBBBBBBBBBBB BBBBBBBBBBBBB F d) BBBBBBBBBBBBB BBBBBBBBBBBBB H BBBBBBBBBBBBBBBBBB 32
7.2 I Remember and Understand :HFDQWDNHVPDOOHUDPRXQWVWRJHWKHUWRPDNHDODUJHU 0RQH\\LVZULWWHQLQ DPRXQW-XVWDVZHDGGWZRQXPEHUVZHFDQDGG rupeesand paise PRQH\\WRR separatedE\\D dot /HWXVVHHVRPHH[DPSOHV Example 6: 1LQDKDVWKHVHFRLQV +RZPXFKPRQH\\GRHVVKHKDYHLQDOO\" 7RÀQGWKHWRWDOPRQH\\ZHDGGDOOWKHPRQH\\1LQDKDV Solution: 7KDWLV``` ` $VKRNKDVWKUHHQRWHVRI`DQGFRLQVRI`+RZPXFK Example 7: PRQH\\GRHVKHKDYHLQDOO\" $VKRNKDVWKHIROORZLQJDPRXQW Solution: ````` ` 6R$VKRNKDV` Train My Brain D %DQLKDVDFRLQRIRQHUXSHHDQGWHQUXSHHV6KHDOVRKDVWZR FRLQVRI`:KDWLVWKHWRWDOPRQH\\ZLWKKHU\" E 5L\\DKDVÀYHQRWHVRI`6KHDOVRKDVRQHFRLQRI`+RZPXFK PRQH\\GRHVVKHKDYHLQDOO\" F 0RKDQKDVWZRFRLQV`DQGIRXUQRWHVRI`+RZPXFKPRQH\\ GRHVKHKDYHLQWRWDO\" Money 33
7.2 I Apply /HWXVVHHDIHZH[DPSOHVLQYROYLQJDGGLWLRQRIPRQH\\ Example 8: & LUFOHWKHFRLQVXVHGWREX\\WKHJLYHQWKLQJV2QHLVGRQHIRU \\RX Item Rate D ` E ` 10 F ` d) ` 34
e) ` Example 9: $UXQDQG%HHQDKDYHPRQH\\DVVKRZQEHORZ+RZPXFK PRQH\\GRHVHDFKRIWKHPKDYH\" Solution : 0RQH\\$UXQKDV ```` ```` `` ` 0RQH\\%HHQDKDV ```` ```` ` Money 35
7.2 I Explore (H.O.T.S.) :HVRPHWLPHVJXHVVWKHPRQH\\QHHGHGWREX\\WKLQJV,WKHOSVXVWRNQRZ ZKHWKHUZHKDYHHQRXJKPRQH\\ /HWXVVHHDQH[DPSOH Example 10: 5LWDZDQWVWREX\\DSHQFLOIRU`DQGDQHUDVHUIRU`+RZ PXFKPRQH\\VKRXOGVKHKDYH\" Solution: &RVWRIDSHQFLO ` &RVWRIDQHUDVHU ` 7RWDOPRQH\\5LWDVKRXOGKDYHWRVSHQGLV`` ` 7KHUHIRUH5LWDVKRXOGKDYHDWOHDVW` Maths Munchies 213 3HQQ\\QLFNHOGLPHDQGFHQWDUHSDUWVRIDGROODU'ROODULVWKH FXUUHQF\\RI7KH8QLWHG6WDWHVRI$PHULFD Connect the Dots EVS Fun )DPLO\\PHPEHUVZRUNWRHDUQPRQH\\:KLFKIDPLO\\ PHPEHUVSHQGVPRQH\\WREX\\WR\\VIRU\\RX\" 36
English Fun 5HFLWHWKLVSRHPRQPRQH\\ Penny, penny, easy spent, Copper brown and worth one cent. Nickel, nickel, thick and fat, You’re worth 5. I know that. Dime, dime, little and thin, I remember—you’re worth 10. Quarter, quarter, big and bold, You’re worth 25, I am told. Half a dollar, half a dollar, Giant size. 50 cents to buy some fries. Dollar, dollar, green and long, With 100 cents you can’t go wrong. Drill Time Concept 7.1: Identify Common Currency Notes and Coins +RZDUHWKHIROORZLQJFXUUHQFLHVZULWWHQLQÀJXUHV\" DUXSHHV EUXSHHV FUXSHHV G H Money 37
Drill Time Concept 7.2: Put Together Small Amounts of Money :KDWLVWKHWRWDODPRXQWLQHDFKRIWKHIROORZLQJ\" D```` E```` F G H``` 3) Word problem D3 D\\DOZDQWVWREX\\DQRWHERRNIRU`DQGDSHQFLOIRU`+RZ PXFKPRQH\\VKRXOGVKHKDYH\" A Note to Parent 7DNH\\RXUFKLOGDORQJZLWK\\RXIRUVKRSSLQJ/HWKLPRUKHUFKHFNWKHSULFHRID IHZLWHPVDQGXQGHUVWDQGWKHLPSRUWDQFHDQGXVDJHRIPRQH\\ 38
Chapter Measurements 8 I Will Learn About PHDVXULQJVKRUWOHQJWKVXVLQJ KDQGVSDQFXELWIRRWDQG SDFH LGHQWLI\\LQJKHDYLHUDQG OLJKWHUREMHFWV FRPSDULQJZHLJKWVXVLQJ VFDOH Concept 8.1: Measure Short Lengths Using Non-Standard Units I Think %DQWHLFROOHFWHGSDSHUULEERQVIURPKLVVFKRRO+HSODFHGWKHPRQHDERYH WKHRWKHU%XWKHGLGQRWNQRZZKLFKULEERQZDVWKHVPDOOHVW 'R\\RXNQRZWRDUUDQJHULEERQVLQWKHRUGHURIWKHLUOHQJWKV\" 8.1 I Recall VKRUWGLVWDQFHVEHWZHHQREMHFWV KHDY\\DQGOLJKWREMHFWV :HKDYHOHDUQWWRFRPSDUHWKH OHQJWKVRIREMHFWV KHLJKWVRIREMHFWV 39
/HWXVUHFDOOWKHP Short 7LFNDVGLUHFWHG2QHLVGRQHIRU\\RX Low Tall 9 High Near Far 40
Thin Thick Marker Heavy Light 8.1 I Remember and Understand ,QROGHQGD\\VSHRSOHPHDVXUHGOHQJWKVDQGGLVWDQFHVXVLQJ Hand span Cubit Foot Pace 7RPHDVXUHOHQJWKZHXVHRQHRIWKHVHPHWKRGV Hand span cubit foot 5HDGDIHZH[DPSOHVRIPHDVXUHPHQWRIOHQJWK DQG paceDUHFDOOHG Example 1: 0HDVXUHWKHIROORZLQJREMHFWVZLWK QRQVWDQGDUGXQLWVRI WKHJLYHQKDQGVSDQ1RWHGRZQ\\RXU PHDVXUHPHQW DQVZHU2QHLVGRQHIRU\\RX Measurements 41
Object Measuring the length of the Number of object hand spans 3 Example 2: 0HDVXUHWKHVHREMHFWVZLWKWKHJLYHQFXELW:ULWHGRZQ\\RXU DQVZHU2QHLVGRQHIRU\\RX Object Measuring the length Number of cubits 3 42
Object Measuring the length Number of cubits Train My Brain 1DPHDQREMHFWHDFKZKRVHOHQJWKLVHTXDOWR\\RXU DKDQGVSDQ EFXELW FIRRW 8.1 I Apply 5HDGDIHZUHDOOLIHH[DPSOHVZKLFKLQYROYHPHDVXULQJWKHOHQJWKVRIVRPH REMHFWV Example 3: 0HDVXUHWKHOHQJWKVRIWKHREMHFWVDVGLUHFWHG:ULWHWKHYDOXHV LQWKHWDEOHDIWHUPHDVXULQJ Measurements 43
Object Measure D /HQJWKRIDWH[WERRN /HQJWKRID79VWDQG 0HDVXUHGXVLQJ /HQJWKRIDZLQGRZ KDQGVSDQ E /HQJWKRIDWDEOH +HLJKWRIDWDEOH 0HDVXUHGXVLQJ (GJHRIDFKDLU FXELW /HQJWKRIDUDFN F /HQJWKRIDPDW 0HDVXUHGXVLQJ :LGWKRIDPDW DIRRW /HQJWKRIDEODQNHW :LGWKRIDEODQNHW 0HDVXUHGXVLQJ G /HQJWKRI\\RXU SDFH FODVVURRP :LGWKRI\\RXUFODVVURRP 8.1 I Explore (H.O.T.S.) Estimation of lengths and distances 6RPHWLPHVZHQHHGQRWNQRZWKHH[DFWOHQJWKRIDQREMHFW$YDOXHFORVHU WRWKHDFWXDOYDOXHZLOOEHHQRXJK,QVXFKFDVHVZHJXHVVWKHOHQJWKVDQG GLVWDQFHV7RJXHVVWKHYDOXHVLVFDOOHGestimation 44
/HWXVQRZXQGHUVWDQGHVWLPDWLRQRIOHQJWKV Example 4: (VWLPDWHWKHOHQJWKVXVLQJ\\RXUKDQGVDQGIHHW :ULWHWKHYDOXHVLQDWDEOH&KHFNLI\\RXUJXHVVLVFORVHWRWKH DFWXDOPHDVXUH Object Estimate Actual length 0DWKVWH[WERRN /XQFKER[ :DWHUERWWOH 'HVN 'XVWHU )ULHQG·VKHLJKW 'LVWDQFHEHWZHHQWKHGRRURI P\\FODVVURRPWRWKHGRRURIWKH QH[WFODVVURRP /HQJWKRIWKHVFKRROFRUULGRU Concept 8.2: Compare Heavy and Light Objects I Think %DQWHLZHQWWRWKHVXSHUPDUNHWZLWKKLVIDWKHU+LVIDWKHUERXJKWVRPHIUXLWV DQGYHJHWDEOHV+HJDYH%DQWHLWZRVPDOOSDFNHWVWRKROG%DQWHLIHOWWKDW KROGLQJRQHRIWKHSDFNHWVZDVHDVLHUWKDQWKHRWKHU :K\\ZDVLWVR\" 8.2 I Recall :HFDQFRPSDUHKHDY\\REMHFWVZLWKWKHOLJKWRQHV/HWXVUHFDOOWKHVDPH WKURXJKVRPHH[DPSOHV Measurements 45
7LFNDVGLUHFWHG D /LJKWHVW E +HDYLHU F +HDYLHVW G/LJKWHU 8.2 I Remember and Understand 2EMHFWVWKDWZHLJKPRUH DUHheavierDQGWKRVH :HFDQJXHVVWKHZHLJKWRIREMHFWVDQG ZKLFKZHLJKOHVVDUH FRPSDUHWKHP/HWXVXQGHUVWDQGWKURXJKVRPH lighter H[DPSOHV 46
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