syllabus 2015 - 16 pcm cbse

946. MATHEMATICS (Code No. 041)TheSyllabusinthesubjectofMathematics hasundergone changesfromtimetotimeinaccordance withgrowth of the subject and emerging needs of the society. Senior Secondary stage is a launching stage fromwhere the students go either for higher academic education in Mathematics or for professional courses likeEngineering, Physical and Bioscience, ommerce or omputer !pplications. The present re"ised syllabus hasbeen designed in accordance with #ational urriculum $ramework %&&' and as per guidelines gi"en in $ocus(roup on Teaching of Mathematics %&&' which is to meet the emerging needs of all categories of students.Moti"ating thetopicsfromreallifesituations andothersubject areas,greateremphasis hasbeenlaidonapplication of "arious concepts.ObjectivesThe broad objecti"es of teaching Mathematics at senior school stage intend to help the students)to ac*uire knowledge and critical understanding, particularly by way of moti"ation and "isuali+ation, of basic concepts, terms, principles, symbols and mastery of underlying processes and skills. tofeeltheflowofreasonswhilepro"ingaresultorsol"ingaproblem.to apply the knowledge and skills ac*uired to sol"e problems and where"er possible, by more than one method. to de"elop positi"e attitude to think, analy+e and articulate logically. tode"elopinterestinthesubjectbyparticipatinginrelatedcompetitions. toac*uaintstudentswithdifferentaspectsofMathematicsusedindailylife. tode"elopaninterestinstudentstostudyMathematicsasadiscipline.tode"elopawareness oftheneedfornationalintegration, protection ofen"ironment, obser"ance of small family norms, remo"al of social barriers, elimination of gender biases. to de"elop re"erence and respect towards great Mathematicians for theircontributions to the field ofMathematics.COURSE STRUCTURECLASS I (!01"#16),ne PaperTotal -ours.Periods of /' Minutes eachThree -oursMa0 Marks. 1&&No. U$its No. o% &e'iods M(')s2. Sets and $unctions 3& %422. !lgebra 5& /5222. oordinate (eometry 6& 1/27. alculus /& &37. Mathematical 8easoning 1& &/72. Statistics and Probability /& 1%Total %6& 1&&9#o chapter:unit wise weightage. are to be taken to co"er all the chapters.U$it#I* Sets ($d +,$ctio$s1. Sets(!0) &e'iodsSetsandtheirrepresentations.Empty set.$initeand2nfinitesets.E*ualsets.Subsets.Subsets ofasetofrealnumbers especially inter"als ;withnotationsistancebetweentwo points and section formula.U$it#I:* C(-c,-,s1. Li1its ($d ;e'iv(tives(/0) &e'iods>eri"ati"e introduced as rate of change both as that of distance function and geometrically.2ntuti"eideaoflimit.Cimitsofpolynomialsandrationalfunctionstrigonometric,e0ponentialandlogarithmic functions.>efinition ofderi"ati"e relateittoscopeoftangentofthecur"e,>eri"ati"e ofsum,difference, productand*uotientoffunctions.>eri"ati"esofpolynomialandtrigonometricfunctions.U$it#:* M(t3e1(tic(- Re(so$i$01. M(t3e1(tic(- Re(so$i$0 (10) &e'iodsMathematically acceptable statements. onnecting words: phrases.consolidating the understanding ofFif and only if ;necessary and sufficient< conditionF, FimpliesF, Fand:orF, Fimplied byF, FandF, ForF,Ftheree0istsFandtheirusethrough"arietyofe0amplesrelatedtoreallifeandMathematics. 7alidatingthestatementsin"ol"ingtheconnectingwords,>ifferencebetweencontradiction, con"erseandcontrapositi"e.U$it#:I* St(tistics ($d &'ob(bi-it91. St(tistics (1") &e'iodsMeasures ofdispersion) 8ange, mean de"iation, "ariance and standard de"iation ofungrouped:groupeddata. !nalysis of fre*uency distributions with e*ual means but different "ariances.!. &'ob(bi-it9(1") &e'iods8andom e0perimentsG outcomes, sample spaces ;set representationo')C E$e'09 ($d &o(ves!610hapterM16) ,scillationshapterM1') Na"esTot(- 160 @0U$it I* &39sic(- >o'-d ($d Me(s,'e1e$t10 &e'iodsC3(2te'D1* &39sic(- >o'-dPhysics.scope and e0citementG nature of physical lawsG Physics, technology and society.C3(2te'D!* U$its ($d Me(s,'e1e$ts#eedformeasurement)=nitsofmeasurementGsystemsofunitsGS2units,fundamentalandderi"edunits.Cength,massandtimemeasurementsGaccuracyandprecisionofmeasuringinstrumentsG errors in measurementG significant figures.>imensions of physical *uantities, dimensional analysis and its applications.U$it II*Ai$e1(tics!4 &e'iodsC3(2te'D/* Motio$ i$ ( St'(i03t Li$e$rame of reference, Motion in a straight line) Position.time graph, speed and "elocity. Elementary concepts of differentiation and integration for describing motion, uniform and non.uniformmotion,a"eragespeedandinstantaneous"elocity,uniformlyacceleratedmotion, "elocity . time and position.time graphs.8elations for uniformly accelerated motion ;graphical treatmento')C E$0e'9 ($d &o(ves!6 &e'iodsC3(2te'D14* Osci--(tio$sPeriodic motion . time period, fre*uency, displacement as a function of time, periodic functions.Simple harmonic motion ;S.-.M< and its e*uationG phaseG oscillations of a spring.restoring forceand force constantG energy in S.-.M. Hinetic and potential energiesG simple pendulum deri"ationof e0pression for its time period.$ree, forced and damped oscillations ;*ualitati"e ideas only,photodiode,solarcellandUenerdiodeandtheircharacteristics, +ener diode as a "oltage regulator.Vunctiontransistor,transistoraction,characteristicsofa transistorandtransistorasanamplifier ;common emitterconfiguration, #,T, #!#> and #,8,atransistor,an2,aresistorandacapacitorfromami0edcollectionofsuch items.%.=se of multimeter to ;i< identify base of transistor, ;ii< distinguish between npn and pnp type transistors,;iii,;i"8.6. To obser"e refraction and lateral de"iation of a beam of light incident obli*uely on a glass slab.'. To obser"e polari+ation of light using two Polaroids.3. To obser"e diffraction of light due to a thin slit.5.To study the nature and si+e of the image formed by a ;i< con"e0 lens, ;ii< conca"e mirror, on a screenby using a candle and a screen ;for different distances of the candle from the lens:mirror8 ;keeping allthe lamps at afi0ed distance8./. To find the refracti"e indices of ;a< water ;b< oil ;transparent< using a plane mirror, an e*ui con"e0 lens;made from a glass of known refracti"e inde0< and an adjustable object needle.6. To design an appropriate logic gate combination for a gi"en truth table.'.To in"estigate the relation between the ratio of ;i< output and input "oltage and ;ii< number of turns inthe secondary coil and primary coil of a self designed transformer.3.To in"estigate the dependence of the angle of de"iation on the angle of incidenceusing a hollow prismfilled one by one, with different transparent fluids.5. To estimate the charge induced on each one of the two identical styrofoam ;or pith< balls suspended in a"ertical plane by making use of oulombEs law.J. Tosetupacommonbasetransistorcircuitandtostudyitsinputandoutputcharacteristicandto calculate its current gain.4. To study the factor on which the self inductance of a coil depends by obser"ing the effect of this coil, when put in series with a resistor:;bulb< in a circuit fed up by an !.. source of adjustable fre*uency.1&.To construct a switch using a transistor and to draw the graph between the input and output "oltage andmark the cut.off, saturation and acti"e regions.11.To study the earthEs magnetic field using a tangent gal"anometer.&'(ctic(- E4(1i$(tio$ %o' :is,(--9 I12(i'ed St,de$ts o% C-(sses I ($d IIEv(-,(tio$ Sc3e1eTi1e A--oetermination ofstrengthofagi"ensolutionof-ydrochloric acidbytitratingitagainst standardSodium arbonate solution.+. 5,(-it(tive A$(-9sis(();ete'1i$(tio$ o% o$e ($io$ ($d o$e c(tio$ i$ ( 0ive$ s(-tations. Pb%?, u%?, !s/?, !l/?, $e/?, Mn%?, #i%?, Un%?, o%?, a%?, Sr%?, Ba%?, Mg%?!nions . ,/, S, S,/ , S,6 , #,/, l, Br, 2 , P, , %,6, -/,,;#ote) 2nsoluble salts e0cludedetermination of p- of some solutions obtained from fruit juices, solutions of known and "aried concentrations of acids, bases and salts using p- paper%. omparing the p- of solutions of strong and weak acids of same concentration.. C3e1ic(- E6,i-ib'i,11. Study the shift in e*uilibrium between ferric ions and thiocyanate ions by increasing:decreasingthe concentration of either ions.%. Study the shift in e*uilibrium between Po;- ,< Q%?concentration of either of the ions.>. 5,($tit(tive esti1(tio$1. Preparation of standard solution of o0alic acid.and chloride ions by changing the%. >eterminationofmolarityofagi"ensolutionofsodiumhydro0idebytitratingitagainst standard solution of o0alic acid.E. 5,(-it(tive A$(-9sis1. >etermination of one anion and one cation in a gi"en salt%. C(tio$sM #-6A$io$s M ,/, S, S,/, l, -/,,;#ote) insoluble salts e0cludedetection of #itrogen in the gi"en organic compound.6. >etection of -alogen in the gi"en organic compound.Note* The abo"e practicals may be carried out in an e0periential manner rather than recording obser"ations.&'esc'ibed 7oo)s*1. hemistry Part .2, lass.L2, Published by #E8T.%. hemistry Part .22, lass.L2, Published by #E8T.%3?%. %. %..MCHEMISTRB (Code No. 04/)5UESTION &A&ER ;ESI8NCLASS # I (!01"#16)Ti1e / Ho,'sM(4. M(')s* @0S. No.T92o-o09 o% 5,estio$s :e'9 S3o'tA$sISE 7REAA U&T92e o% 5,estio$ M(') 2e' 5,estio$ Tot(- No. o% 5,estio$s Tot(- M(')s7S! 1 ' &'S!.2 % ' 1&S!.22 / 1% /37BT 6 1 &6C! ' / 1'Tot(- %3 5&1. I$te'$(-C3oice*Thereisnooverallchoiceinthepaper.However,thereisaninternalchoiceinone question of 2 marks weightage, one question of 3 marks weightage and all the three questionsof 5 marks weightage.2. Theabovetemplateisonlyasample.uitableinternalvariationsmaybemadeforgeneratingsimilartemplateskeeping theoverallweightagetodifferentformofquestionsandtypologyofquestions same.CLASS II (!01"#16)(THEORB)Tot(- &e'iods (T3eo'9 160 H &'(ctic(- 60)Ti1e* / Ho,'s@0 M(')sU$it No. Tit-e No. o% &e'iods M(')s=nit 2 Solid State 1&%/=nit 22 Solutions 1&=nit 222 Electrochemistry 1%=nit 27 hemical Hinetics 1&=nit 7 Surface hemistry &J=nit 72 (eneral Principles and Processes of 2solation of Elements &J14=nit 722 p .Block Elements 1%=nit 7222 d .and f .Block Elements 1%=nit 2L oordination ompounds 1%=nit L -aloalkanes and -aloarenes 1&%J=nit L2 !lcohols, Phenols and Ethers 1&=nit L22 !ldehydes, Hetones and arbo0ylic !cids 1&=nit L222 ,rganic ompounds containing #itrogen 1&=nit L27 Biomolecules 1%=nit L7 Polymers &J=nit L72 hemistry in E"eryday Cife &3Tot(- 160 @0U$it I*So-id St(te 10 &e'iodslassification ofsolidsbasedondifferent bindingforces)molecular, ionic,co"alent andmetallicsolids, amorphous and crystalline solids ;elementary idea>T.U$it I*A-co3o-sC &3e$o-s ($d Et3e's 10 &e'iodsA-co3o-s*#omenclature,methodsofpreparation,physicalandchemicalproperties;ofprimaryalcoholsonlyetermination of one cation and one anion in a gi"en salt.ation M#- ?%.%.%...!nions M ,/, S, S,/, l , -/,,;#ote) 2nsoluble salts e0cluded