Rpt Add Math Frm 5-Edit

8/13/2019 Rpt Add Math Frm 5-Edit

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RPT : ADD MATH FORM 5

YEARLY PLAN 2014

SEKOLAH : SMK AYER HITAM

SUBJECT : ADDITIONAL MATHEMATICS

FORM : 5

WEEK/DATE TOPIC SUB TOPIC LEARNING OUTCOMESCOMPLETED DATE(REASON IF CANT

ACHIEVED

1 Progressions 1) Underst nd nd !set"e #on#e$t o%rit"&eti#$rogression !

'i) Identi%( #" r #teristi#s o%rit"&eti# $rogressions

'ii) Deter&ine "et"er gi*ense+!en#e is n rit"&eti#$rogression

'iii) Deter&ine ,( !sing %or&!- :) s$e#i%i# ter&s in rit"&eti#

$rogressions , b) t"e n!&,er o% ter&s in

rit"&eti# $rogressions'i*) .ind:

) t"e s!& o% t"e %irst n ter&so% rit"&eti# $rogressions/

,) t"e s!& o% s$e#i%i#n!&,er o% #onse#!ti*eter&s o% rit"&eti#$rogressions/

#) t"e * -!e o% n, gi*en t"es!& o% t"e %irst n ter&s o%rit"&eti# $rogressions

'*) So-*e $ro,-e&s in*o-*ingrit"&eti# $rogressions


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0 Progressions 0) Underst nd nd !set"e #on#e$t o%geo&etri#$rogression

(i) Identi%( #" r #teristi#s o%geo&etri# $rogressions

'ii) Deter&ine "et"er gi*ense+!en#e is geo&etri#$rogression

'iii) Deter&ine ,( !sing%or&!- :) s$e#i%i# ter&s in

geo&etri# $rogressions/,) t"e n!&,er o% ter&s in

geo&etri# $rogressions'i*) .ind:

) t"e s!& o% t"e %irst n ter&so% geo&etri# $rogressions/

,) t"e s!& o% s$e#i%i#n!&,er o% #onse#!ti*eter&s o% geo&etri#$rogressions/

#) t"e * -!e o% n, gi*en t"es!& o% t"e %irst n ter&s o% geo&etri# $rogressions/

2 Progressions 0 Underst nd nd !set"e #on#e$t o%geo&etri#$rogression

'*) .ind:) t"e s!& to in%init( o%

geo&etri#$rogressions/

,) t"e %irst ter& or #o&&onr tio/ gi*en t"e s!& toin%init( o% geo&etri#$rogressions

'*i) So-*e $ro,-e&s in*o-*inggeo&etri# $rogressions


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3 Line r L 1) Underst nd nd !set"e #on#e$t o% -ineso% ,est %it

'i) Dr -ines o% ,est %it ,(ins$e#tion o% gi*en d t

'ii) 4rite e+! tions %or -ines o%,est %it

'iii) Deter&ine * -!es o%* ri ,-es %ro&:) Lines o% ,est %it/,) E+! tions o% -ines o% ,est %it

5 Line r L 0) A$$-( -ine r - tonon -ine r re- tions

'i) Red!#e non -ine r re- tions to-ine r %or&

'ii) Deter&ine * -!es o% #onst ntso% non -ine r re- tions gi*ena) -ines o% ,est %it

b) d t'iii) O,t in in%or& tion %ro&

) -ines o% ,est %it,) e+! tions o% -ines o% ,est

%it

6 Integr tion 1) Underst nd nd !set"e #on#e$t o%integr tion inde%initeintegr -

'i) Deter&ine integr -s ,(re*ersing di%%erenti tion

'ii) Deter&ine integr -s o% 7 n "ere is #onst nt nd n isn integer/n 8 91

'iii) Deter&ine integr -s o%-ge,r i# e7$ressions

'i*) .ind #onst nts o% integr tion/#/ in inde%inite integr -s

'*) Deter&ine e+! tions o% #!r*es%ro& %!n#tions o% gr dients


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'*i) Deter&ine ,( s!,stit!tion t"eintegr -s o% e7$ressions o% t"e%or& ' 7 ,) n / "ere nd ,re #onst nts/ n is n integer

nd n 1

; C"inese Ne Ye r

< Integr tion 0) Underst nd nd !set"e #on#e$t o%de%inite integr -s

i) .ind de%inite integr -s o% -ge,r i# e7$ressions

'ii) .ind re s !nder #!r*es st"e -i&it o% s!& o% re s

'iii) Deter&ine re s !nder #!r*es!sing %or&!-

= Integr tion 0) Underst nd nd !set"e #on#e$t o%de%inite integr -s

'i*) .ind *o-!&es o% re*o-!tions"en region ,o!nded ,( #!r*e is rot ted #o&$-ete-(,o!t t"e) 7 7is/,) ( 7is

s t"e -i&it o% s!& o%*o-!&es

'iii) Deter&ine *o-!&es o%re*o-!tions !sing %or&!-

1> ?e#tor 1) U nderst nd nd!se t"e #on#e$t o%*e#tor

'i) Di%%erenti te ,et een *e#tornd s# - r +! ntities

'ii) Dr nd - ,e- dire#ted -ineseg&ents to re$resent *e#tors

'iii) Deter&ine t"e & gnit!de nddire#tion o% *e#torsre$resented ,( dire#tedseg&ents


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seg&ents -'i*) Deter&ine "et"er t o

*e#tors re e+! -'*) M!-ti$-( *e#tors ,( s# - rs'*i) Deter&ine et"er t o *e#tors

re $ r --e-

11 S#"oo- Ho-id (

10 ?e#tor 0) Underst nd nd!se t"e #on#e$t o%ddition nds!,tr #tion o%*e#tors

'i) Deter&ine t"e res!-t nt *e#toro% t o $ r --e- *e#tors

'ii) Deter&ine t"e res!-t nt *e#toro% t o non $ r --e- *e#tors!sing:) tri ng-e - /,) $ r --e-ogr & -

'iii) Deter&ine t"e res!-t nt *e#toro% t"ree or &ore *e#tors !singt"e $o-(gon -

'i*) S!,tr #t t o *e#tors "i#"re:) P r --e-/,) non $ r --e-

'*) Re$resent *e#tor s #o&,in tion o% ot"er *e#tors

'*i) So-*e $ro,-e&s in*o-*ingddition nd s!,tr #tion o%*e#tor

12 ?e#tor 2 Underst nd nd !set"e *e#tors in# rtesi n $ ne

'i) E7$ress *e#tors in t"e %or&: ) 7i (@


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,)

y

x

'ii) Deter&ine & gnit!des o%*e#tors

'iii) Deter&ine !nit *e#tors in gi*endire#tions

'i*) Add t o or &ore *e#tors'*) S!,tr #t t o *e#tors

'*i) M!-ti$-( *e#tors ,( s# - rs'*ii) Per%or& #o&,ined o$er tions

on *e#tors'*iii)So-*e $ro,-e&s in*o-*ing

*e#tors

13 Trigono&etri# .!n#tions

1) Underst nd t"e#on#e$t o% $ositi*end neg ti*e ng-es&e s!red indegrees ndr di ns

0) Underst nd nd !set"e si7 trigono&etri#%!n#tions o% n(ng-e

'i) Re$resent in C rtesi n$- ne/ ng-es gre ter t" n 26>

0 or 0 r di ns %or:) $ositi*e ng-es/,) neg ti*e ng-es

'ii) De%ine sine/ #osine ndt ngent o% n( ng-e in C rtesi n $- ne

'iii) De%ine #ot ngent/ se# nt nd#ose# nt o% n( ng-e in C rtesi n $- ne

'i*) .ind * -!es o% t"e si7trigono&etri# %!n#tions o% n(ng-e

'*) So-*e trigono&etri# e+! tions


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2) Underst nd nd !segr $"s o% sine/#osine/ nd t ngent%!n#tions .

' i) Dr nd sBet#" gr $"s o% trigono&etri# %!n#tions:) ( # sin ,7/

,) ( # #os ,7/#) ( # t n ,7"ere / , nd # re #onst ntsnd , >

'ii) Deter&ine t"e n!&,er o% so-!tions to trigono&etri#e+! tion !sing sBet#"edgr $"s

'iii) So-*e trigono&etri# e+! tions!sing dr n gr $"s


3) Underst nd nd !se, si# identities

'i) Pro*e , si# identities:) sin A #os A 1/,) 1 t n A se# A/#) 1 #ot A #ose# A

'ii) Pro*e trigono&etri# identities!sing , si# identities

'iii) So-*e trigono&etri# e+! tions!sing , si# identities

1; Trigono&etri# .!n#tions

5) Underst nd nd !seddition %or&!- nddo!,-e ng-e%or&!- .

'i) Pro*e trigono&etri# identities!sing ddition %or&!- %or sin 'A F G)/ #os 'A F G) ndt n 'A F G)

'ii) Deri*e do!,-e ng-e %or&!-%or sin 0A/ #os 0A nd t n 0A

'iii) Pro*e trigono&etri# identities!sing ddition %or&!- nd or do!,-e ng-e %or&!-


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'i*) So-*e trigono&etri# e+! tions

1< Per&!t tionsndCo&,in tions

1) Underst nd nd !set"e #on#e$t o%$er&!t tion

'i) Deter&ine t"e tot - n!&,er o% (s to $er%or& s!##essi*e

e*ents !sing &!-ti$-i# tion r!-e'ii) Deter&ine t"e n!&,er o%

$er&!t tions o% n di%%erento,@e#ts

'iii) Deter&ine t"e n!&,er o% $er&!t tions o% n di%%erento,@e#ts t Ben r t ti&e

'i*) Deter&ine t"e n!&,er o% $er&!t tions o% n di%%erento,@e#ts %or gi*en #onditions

'*) Deter&ine t"e n!&,er o% $er&!t tions o% n di%%erento,@e#ts t Ben r t ti&e %orgi*en #onditions

1= Per&!t tionsndCo&,in tions

0) Underst nd nd !set"e #on#e$t o%#o&,in tion

'i) Deter&ine t"e n!&,er o% #o&,in tions o% r o,@e#ts#"osen %ro& n di%%erento,@e#ts

'ii) Deter&ine t"e n!&,er o% #o&,in tions r o,@e#ts #"osen%ro&n di%%erent o,@e#ts %orgi*en #onditions

0> Mid Ye r E7 &

01 Mid Ye r E7 &


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00 Mid Ye r E7 &

02 Mid Ye r Ho-id (s

03 Mid Ye r Ho-id (s

05 Pro, ,i-it( 1) Underst nd nd !set"e #on#e$t o%$ro, ,i-it(

'i) Des#ri,e t"e s &$-e s$ #e o%n e7$eri&ent

'ii) Deter&ine t"e n!&,er o% o!t#o&es o% n e*ent

'iii) Deter&ine t"e $ro, ,i-it( o% ne*ent

'i*) Deter&ine t"e $ro, ,i-it( o%t o e*ents:) A or G o##!rring/,) A nd G o##!rring

06 Pro, ,i-it( 0) Underst nd nd !set"e #on#e$t o%$ro, ,i-it( o%&!t! --( e7#-!si*ee*ents

2) Underst nd nd !set"e #on#e$t o%$ro, ,i-it( o% inde$endent e*ents

'i) Deter&ine "et"er t o e*entsre &!t! --( e7#-!si*e

'ii) Deter&ine t"e $ro, ,i-it( o%t o or &ore e*ents t" t re&!t! --( e7#-!si*e

'i) Deter&ine "et"er t o e*entsre inde$endent

'ii) Deter&ine t"e $ro, ,i-it( o%t o inde$endent e*ents

'iii) Deter&ine t"e $ro, ,i-it( o%t"ree inde$endent e*ents


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0; Pro, ,i-t(Distri,!tions

1) Underst nd nd !set"e #on#e$t o%,ino&i - distri,!tion

'i) List -- $ossi,-e * -!es o% dis#rete r ndo& * ri ,-e

'ii) Deter&ine t"e $ro, ,i-it( o% ne*ent in ,ino&i - distri,!tion

'iii) P-ot ,ino&i - distri,!tiongr $"s

'i*) Deter&ine &e n/ * ri n#e ndst nd rd de*i tion o% ,ino&i - distri,!tion

'*) So-*e $ro,-e&s in*o-*ing,ino&i - distri,!tions

0< Pro, ,i-t(Distri,!tions

0) Underst nd nd !set"e #on#e$t o%nor& - distri,!tion

'i) Des#ri,e #ontin!o!s r ndo&* ri ,-es !sing set not tions

'ii) .ind $ro, ,i-it( o% * -!es %or st nd rd nor& - distri,!tion

'iii) Con*ert r ndo& * ri ,-e o% nor& - distri,!tions/ J/ tost nd rdised * ri ,-e/

'i*) Re$resent $ro, ,i-it( o% ne*ent !sing set not tion

'*) Deter&ine $ro, ,i-it( o% ne*ent

'*i) So-*e $ro,-e&s in*o-*ingnor& - distri,!tions

0= Motion A-ong A Str ig"tLine

1) Underst nd nd !set"e #on#e$t o% dis$- #e&ent

0) Underst nd nd !set"e #on#e$t o%*e-o#it(

'i) Identi%( dire#tion o%dis$- #e&ent o% $ rti#-e %ro& %i7ed $oint

'ii) Deter&ine dis$- #e&ent o% $ rti#-e %ro& %i7ed $oint

'iii) Deter&ine t"e tot - dist n#etr *e--ed ,( $ rti#-e o*er ti&e inter* - !sing gr $"i# -


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&et"odi) Deter&ine *e-o#it( %!n#tion o%

$ rti#-e ,( di%%erenti tion'ii) Deter&ine inst nt neo!s

*e-o#it( o% $ rti#-e'iii) Deter&ine dis$- #e&ent o%

$ rti#-e %ro& *e-o#it( %!n#tion,( integtr tion

2> Motion A-ong A Str ig"tLine

2) Underst nd nd !set"e #on#e$t o%##e-er tion

'i) Deter&ine ##e-er tion%!n#tion o% $ rti#-e ,(di%%erenti tion

'ii) Deter&ine inst nt neo!s##e-er tion o% $ rti#-e

'iii) Deter&ine inst nt neo!s*e-o#it( o% $ rti#-e %ro#e-er tion %!n#tion ,(integr tion

'i*) Deter&ine dis$- #e&ent o% $ rti#-e %ro& ##e-er tion%!n#tion ,( integr tion

'*) So-*e $ro,-e&s in*o-*ing&otion -ong str ig"t -ine

21 Line rProgr &&ing

1) Underst nd nd !set"e #on#e$t o%gr $"s o% -ine rine+! -ities

'i) Identi%( nd s" de t"e regionon t"e gr $" t" t s tis%ies -ine r ine+! -ities

'ii) .ind t"e -ine r ine+! -it( t" tde%ines s" ded region

'iii) S" de region on t"e gr $"t" t s tis%ies se*er - -ine r ine+! -ities

'i*) .ind -ine r ine+! -ities t" tde%ine s" ded region


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20 Line rProgr &&ing

0) Underst nd nd !set"e #on#e$t o% -ine r Progr &&ing

'i) So-*e $ro,-e&s re- ted to-ine r $rogr &&ing ,(:) riting -ine r ine+! -itiesnde+! tions des#ri,ing sit! tion/,) s" ding t"e region o%%e si,-e so-!tions/#) deter&ining nd dr ing t"eo,@e#ti*e %!n#tion 7 ,( B"ere / , nd B re#onst nts/d) deter&ining gr $"i# --( t"eo$ti&!& * -!e o% t"eo,@e#ti*e %!n#tion

22 25 SPM Tri - E7 &

26 S#"oo- Ho-id (s

2; H ri R ( P! s

2< 36 Intensi% Re*isionTri - E7 & P $er %ro& ot"er st te

P st (e r +!estions


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No*e&,er SPM E7 & 0>11

Rpt Add Math Frm 5-Edit

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