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