rpt t5 - matematik tambahan
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7/23/2019 Rpt t5 - Matematik Tambahan
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RANCANGAN PELAJARAN TAHUNAN
MATEMATIK TAMBAHAN TINGKATAN 5 2016
NEGERI PERAK
A6. Janjang
TARIKH OBJEKTIF PEMBELAJARAN
CADANGAN AKTIVITI
PENGAJARAN &
PMEBELAJARAN
HASIL PEMBELAJARAN CATATAN KOSA KATA
4 Jan – 8 Jan
1. Memaam! "an men##$na%an
%n'e( janjang aritmtri! .
G$na%an )n* "a+!(a"a '!*$a'!
%e!"$(an 'ea+!an, %a-%$-a*+#+a!% a*a$ %a-%$-a*+ 'a!n*!!% "an
(e+!'!an %m($*e+ $n*$% mene+%a
/an/an# a+!*me*+!%.
1.1 Men#ena- (a'*! )!+!0)!+! /an/an#
a+!*me*+!%.
1. Menen*$%an 'ama a"a /$/$%an
2an# "!3e+! me+$(a%an /an/an#
a+!*me*+!%.
1. Menen*$%an "en#an
men##$na%an +$m$'5
6a7 'e3$*an *e+*en*$ "a-am
'e'$a*$ /an/an# a+!*me*+!%,
637 3!-an#an 'e3$*an "a-am
'e'$a*$ /an/an# a+!*me*+!%.
1.4 Men)a+!5
6a7 a'!- *am3a n
'e3$*an (e+*ama 3a#!
'e'$a*$ /an/an# a+!*me*!%,
637 a'!- *am3a 3e3e+a(a
'e3$*an *e+*en*$ 2an#
3e+*$+$*an 3a#! 'e'$a*$
/an/an# a+!*me*+!%,
6)7 n! -a! n , a(a3!-a a'!-
*am3a n 'e3$*an
(e+*ama 3a#! 'e'$a*$
/an/an# a+!*me*+!% "!3e+!.
1. Men2e-e'a!%an ma'a-a 2an#
me-!3a*%an /an/an# a+!*me*+!%.
M$-a%an "en#an /$/$%an nm3+
$n*$% mem(e+%ena-%an /an/an#a+!*me*+!% "an /an/an# #eme*+!.
L!3a*%an )n* "a-am 3en*$%
a-#e3+a.
L!3a*%an (en##$naan +$m$'
T n=Sn−Sn−1
L!3a*%an ma'a-a 3e+%a!*an '!*$a'!
%e!"$(an 'ea+!an.
J$/$%an
Jan/an#Jan/an# a+!*me*+!%
Be9a 'e($n2a
11 Jan – 1 Jan . Memaam! "an men##$na%an
%n'e( janjang g"mtri.
G$na%an )n* "a+!(a"a '!*$a'!
%e!"$(an 'ea+!an, %a-%$-a*+
#+a!% a*a$ %a-%$-a*+ 'a!n*!!% "an
.1 Men#ena- (a'*! )!+!0)!+! /an/an#
#eme*+!.
Te+ma'$% )n* 3e+3en*$% a-#e3+a. Jan/an# #eme*+!
N!'3a 'e($n2a
Ha'!- *am3a !n##a
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7/23/2019 Rpt t5 - Matematik Tambahan
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(e+!'!an %m($*e+ $n*$% mene+%a
/an/an# #eme*+!%.
. Menen*$%an 'ama a"a /$/$%an
2an# "!3e+! me+$(a%an /an/an#
#eme*+!.
. Menen*$%an "en#an
men##$na%an +$m$'5
6a7 'e3$*an *e+*en*$ "a-am
'e'$a*$ /an/an# #eme*+!,
637 3!-an#an 'e3$*an "a-am
'e'$a*$ /an/an# #eme*+!.
.4 Men)a+!5
6a7 a'!- *am3a n
'e3$*an (e+*ama "a-am
'e'$a*$ /an/an# #eme*+!,
637 a'!- *am3a 3e3e+a(a
'e3$*an *e+*en*$ 2an#
3e+*$+$*an "a-am 'e'$a*$
/an/an# #eme*+!,
6)7 n! -a! n , a(a3!-a a'!-
*am3a n 'e3$*an
(e+*ama 3a#! 'e'$a*$ /an/an# #eme*+! "!3e+!.
. Men)a+!5
6a7 a'!- *am3a !n##a
%e*a%!n##aan 3a#!
'e'$a*$ /an/an# #eme*+!,
637 'e3$*an (e+*ama a*a$
n!'3a 'e($n2a a(a3!-a
a'!- *am3a !n##a
%e*a%!n##aan 'e'$a*$
/an/an# #eme*+! "!3e+!.
.: Men2e-e'a!%an ma'a-a 2an#
me-!3a*%an /an/an# #eme*+!.
B!n)an#%an5
A(a3!-a n → ∞ , rn
→0 ,
ma%a
S∞= a1−r
S∞ "!3a)a 'e3a#a! ;a'!-
*am3a !n##a %e*a%!n##aan<.
Te#a'%an a'!- *am3a !n##a
%e*a%!n##aan an2a =$/$" /!%a
−1
<r<1
.
L!3a*%an (e+($-$an /a"! 'em$-a.
Te+a" %e(a"a "!#!* /a"! 'em$-a
'e(e+*! 0. 3́ , 0. 1́5́ ,>
T!"a% *e+ma'$%5
%e*a%!n##aan
Pe+($-$an /a"! 'em$-a
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7/23/2019 Rpt t5 - Matematik Tambahan
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6a7 #a3$n#an 3a#! /an/an#
a+!*me*+!% "an /an/an#
#eme*+!,
637 /$/$%an *e+%$m($- 'e(e+*!
(1 ) , (2,3 ) , (4,5,6 ) , …
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7/23/2019 Rpt t5 - Matematik Tambahan
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A#. H$!$m Linar
TARIKH OBJEKTIF PEMBELAJARAN
CADANGAN AKTIVITI
PENGAJARAN &
PMEBELAJARAN
HASIL PEMBELAJARAN CATATAN KOSA KATA
18 Jan – Jan
1. Memaam! "an men##$na%an
%n'e( gari% &$r$% 'n($aian
tr)ai! .
G$na%an )n* '!*$a'! %e!"$(an
'ea+!an $n*$% mem(e+%ena-%an
%n'e( $%$m -!nea+.
G$na%an %a-%$-a*+ #+a!% a*a$
(e+!'!an %m($*e+ 'e(e+*!Geometer’s Sketchpad $n*$%
mene+%a #a+!' -$+$' (en2e'$a!an
*e+3a!%.
1.1 Me-$%!' #a+!' -$+$' (en2$a!an
*e+3a!% 'e)a+a (eme+!n2$an
3a#! "a*a 2an# "!3e+!.
1. Men)a+! (e+'amaan 3a#! #a+!'
-$+$' (en2$a!an *e+3a!%.
1. Menen*$%an n!-a!0n!-a! (em3-e$3a "a+!(a"a5
6a7 #a+!' -$+$' (en2$a!an
*e+3a!%,
637 (e+'amaan #a+!' -$+$'
(en2$a!an *e+3a!%.
Ha"%an "a*a %e(a"a $3$n#an
-!nea+ an*a+a "$a (em3-e$3a.
Ga+!' -$+$' (en2$a!an
*e+3a!%
H$%$m -!nea+
Pem3-e$3a
Peme+!n2$an
H$3$n#an -!nea+
Jan – ? Jan
. Men#a(-!%a'!%an *$!$m
&inar %e(a"a $3$n#an *a%
-!nea+.
.1 Men$%a+%an $3$n#an *a%
-!nea+ %e(a"a 3en*$% -!nea+.
. Menen*$%an n!-a!0n!-a! (ema-a+
3a#! $3$n#an *a% -!nea+
a(a3!-a "!3e+!5
6a7 #a+!' -$+$' (en2$a!an
*e+3a!%,
637 "a *a.
. Mem(e+-e ma%-$ma*"a+!(a"a5
6a7 #a+!' -$+$' (en2$a!an
*e+3a!%,
637 (e+'amaan #a+!' -$+$'
(en2$a!an *e+3a!%.
H$3$n#an *a% -!nea+
Ben*$% -!nea+
Pema-a+
K2. Pngamiran
TARIKH OBJEKTIF PEMBELAJARAN
CADANGAN AKTIVITI
PENGAJARAN &
PMEBELAJARAN
HASIL PEMBELAJARAN CATATAN KOSA KATA
1 Fe3 – Fe3 1. Memaam! "an men##$na%an
%n'e( !amiran ta! tnt$.
G$na%an (e+!'!an %m($*e+ 'e(e+*!
Geometer’s Sketchpad $n*$%
mene+%a %n'e( (en#am!+an.
1.1 Menen*$%an %am!+an me-a-$!
(+'e' men)a+! 'n#'an#an
%e(a"a (em3e9aan.
1. Menen*$%an %am!+an a xn
"en#an %ea"aan a !a-a
(ema-a+ "an n !a-a
Te#a'%an n!-a! (ema-a+ 3a#!
(en#am!+an.
∫ y dx "!3a)a 'e3a#a!
;(en#am!+an y *e+a"a(
x <.
Pen#am!+an
Kam!+an *a% *en*$
Pema-a+ (en#am!+anF$n#'! %e)e+$nan
Pem3e9aan
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7/23/2019 Rpt t5 - Matematik Tambahan
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!n*e#e+, n ≠−1 .
1. Menen*$%an %am!+an 3a#!
$n#%a(an a-#e3+a.
1.4 Men)a+! (ema-a+ 3a#!
(en#am!+an, c , "a-am
%am!+an *a% *en*$.
1. Menen*$%an (e+'amaan
-en#%$n# "a+!(a"a $n#'!
%e)e+$nan.
1.: Menen*$%an %am!+an "en#an
men##$na%an (en##an*!an
3a#! $n#%a(an 3e+3en*$%
(ax+b )n "en#an %ea"aan
a "an b !a-a
(ema-a+, n !n*e#e+ "an
n ≠−1 .
Te+a" %e(a"a (en#am!+an
∫ un
dx "en#an %ea"aan
u=ax+b .
8 Fe3 – 1 Fe3 . Memaam! "an men##$na%an
%n'e( !amiran tnt$.
G$na%an %a-%$-a*+ 'a!n*!!% a*a$
#+a!% $n*$% mene+%a %am!+an
*en*$.
G$na%an (e+!'!an %m($*e+ "an
%a-%$-a*+ #+a!% $n*$% mene+%a
-$a' "! 3a=a 'e'$a*$ -en#%$n# "an
(en#e+*!an *an"a ('!*! "an ne#a* !
3a#! -$a' 2an# "!(e+-e.
G$na%an (e+!'!an %m($*e+ $n*$%
mene+%a !'!(a"$ /anaan.
.1 Men)a+! n!-a! %am!+an *en*$
3a#! $n#%a(an a-#e3+a.
. Men)a+! -$a' "! 3a=a 'e'$a*$
-en#%$n# 'e3a#a! a" 3a#!
a'!- *am3a -$a'.
. Menen*$%an -$a' "! 3a=a
'e'$a*$ -en#%$n# "en#anmen##$na%an +$m$'.
.4 Men)a+! !'!(a"$ /anaan a(a3!-a
'e'$a*$ +an*a$ 2an# "!3a*a'!
-e 'e'$a*$ -en#%$n#
"!%!'a+%an 'e(en$n2a (a"a5
L!3a*%an
∫a
b
kf ( x ) dx=k ∫a
b
f ( x)dx
∫a
b
f ( x)dx=−∫b
a
f ( x ) dx
R$m$' *!"a% (e+-$ "!*e+3!*%an.
Te+a" %e(a"a 'a*$ -en#%$n# "an
'a*$ #a+!' -$+$' 'aa/a.
Kam!+an *en*$
L$a' "! 3a=a -en#%$n#
I'!(a"$ /anaan %!'a+an
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6a7 (a%'! 0 x ,
637 (a%' !0 y
'e3a#a! a" 3a#! a'!- *am3a
!'!(a"$.
. Menen*$%an !'!(a"$ /anaan
"en#an men##$na%an +$m$'.
R$m$' *!"a% (e+-$ "!*e+3!*%an.
Te+a" %e(a"a !'!(a"$ /anan
"a+!(a"a %!'a+an (a"a (a%'!0 x
a*a$ (a%'!0 y .
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G2. +!t"r
TARIKH OBJEKTIF PEMBELAJARAN
CADANGAN AKTIVITI
PENGAJARAN &
PMEBELAJARAN
HASIL PEMBELAJARAN CATATAN KOSA KATA
1 Fe3 – 1? Fe3
1. Memaam! "an men##$na%an
%n'e( ,!t"r.
G$na%an )n* "a+!(a"a '!*$a'!
%e!"$(an 'ea+!an "an (e+!'!an
%m($*e+ 'e(e+*! Geometer’s
Sketchpad $n*$% mene+%a %n'e(
@e%*+.
1.1 Mem3e9a%an an*a+a %$an*!*!
@e%*+ "an %$an*!*! '%a-a+.
1. Me-$%!' "an me-a3e-
*em3e+en# #a+!' 3e+a+a $n*$%
me=a%!-! 'e'$a*$ @e%*+.
1. Menen*$%an ma#n!*$" "an a+a
@e%*+ 2an# "!=a%!-! -e
*em3e+en# #a+!' 3e+a+a.
1.4 Menen*$%an 'ama a"a "$a
@e%*+ a"a-a 'ama.
1. Men"a+a3%an @e%*+ "en#an
'%a-a+.
1.: Menen*$%an 'ama a"a "$a
@e%*+ a"a-a 'e-a+!.
G$na%an *a*a*an"a5
Ve%*+5 a , AB , a ,
AB
Ma#n!*$"5 |a| , | AB| ,
|a| , | AB|
Ve%*+ '!a+5 0
Te#a'%an 3aa=a @e%*+ '!a+
mem($n2a! ma#n!*$" '!a+.
Te#a'%an @e%*+ ne#a*!5
− AB=BA
L!3a*%an '%a-a+ ne#a*!.
L!3a*%an5
6a7 *!*!%0*!*!% 'e#a+!'
637 @e%*+0@e%*+ 3$%an '!a+ 2an#
*!"a% 'e-a+!.
Te#a'%an5
J!%a a "an b *!"a% 'e-a+!
"anh a=k b , ma%a
h=k =0 .
Ve%*+
S%a-a+
Tem3e+en# #a+!' 3e+a+a
Ma#n!*$"
A+a
Ve%*+ ne#a*! Ve%*+ '!a+
Ve%*+ 'e-a+!
Se#a+!'
1 Fe3 – 1? Fe3 . Memaam! "an men##$na%an
%n'e( 'nam)a*an -an
'n"&a!an ,!t"r.
G$na%an '!*$a'! %e!"$(an 'ea+!an
"an 3aan man!($-a*! $n*$%
mene+%a (enam3aan "an
(en-a%an @e%*+.
.1 Menen*$%an @e%*+ (a"$an
3a#! "$a @e%*+ 'e-a+!.
. Menen*$%an @e%*+ (a"$an
Ve%*+ (a"$an
H$%$m 'e#! *!#a
H$%$m 'e#! em(a* 'e-a+!
H$%$m (-!#n
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7/23/2019 Rpt t5 - Matematik Tambahan
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3a#! "$a @e%*+ 2an# *!"a%
'e-a+! "en#an men##$na%an5
6a7 $%$m 'e#! *!#a,
637 $%$m 'e#! em(a* 'e-a+!.
. Menen*$%an @e%*+ (a"$an
3a#! *!#a a*a$ -e3! @e%*+
"en#an men##$na%an $%$m
(-!#n.
.4 Menen*$%an a'!- (en-a%an"$a @e%*+ 2an#5
6a7 'e-a+ !,
637 *!"a% 'e-a+!.
. Me=a%!-%an 'a*$ @e%*+
'e3a#a! #a3$n#an @e%*+0
@e%*+ 2an# -a!n.
.: Men2e-e'a!%an ma'a-a 2an#
me-!3a*%an (enam3aan "an
(en-a%an @e%*+.
Te#a'%an5a−b=a+(−b )
Fe3 – : Fe3
? Fe3 – 4 Ma)
. Memaam! "an men##$na%an
,!t"r -a&am %ata* Cart%an
G$na%an (e+!'!an %m($*e+ $n*$%
mene+%a @e%*+ "a-am 'a*a
Ca+*e'an
.1 Men#$n#%a(%an @e%*+ "a-am
3en*$%5
6a7 x i+ y j ,
637
y
x
.
. Menen*$%an ma#n!*$" 'e'$a*$
@e%*+.
. Menen*$%an @e%*+ $n!* "a-am
a+a @e%*+ 2an# "!3e+!%an.
.4 Menen*$%an a'!- *am3a "$a
a*a$ -e3! @e%*+.
. Menen*$%an a'!- (en-a%an
Ka!*%an @e%*+ $n!* i "an
j %e(a"a %+"!na* Ca+*e'an.
Te#a'%an5
Ve%*+
=
A
1i
Ve%*+
=
1
A j
n*$% . !n##a ., 'em$a @e%*+
"!3e+! "a-am 3en*$% x i+
y j
a*a$
y
x
.
Sa*a Ca+*e'an
K+"!na* Ca+*e'
Ve%*+ $n!*
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7/23/2019 Rpt t5 - Matematik Tambahan
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"$a @e%*+.
.: Menen*$%an a'!- "a+a3
'e'$a*$ @e%*+ "en#an '%a-a+.
. Me-a%'ana%an (e+a'!
#a3$n#an %e a*a' 3e3e+a(a
@e%*+.
.8 Men2e-e'a!%an ma'a-a 2an#
me-!3a*%an @e%*+.
Ha"%an #a3$n#an (e+a'! %e(a"a
(enam3aan, (en-a%an "an
(en"a+a3an @e%*+ "en#an '%a-a+.
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7/23/2019 Rpt t5 - Matematik Tambahan
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T2. $ng%i Trig"n"mtri
TARIKH OBJEKTIF PEMBELAJARAN
CADANGAN AKTIVITI
PENGAJARAN &
PMEBELAJARAN
HASIL PEMBELAJARAN CATATAN KOSA KATA
1 Ma) – Ma)
1. Memaam! %n'e( %$-$t
'"%iti/ "an %$-$t ngati/
"a-am "a+/a "an +a"!an.
G$na%an (e+!'!an %m($*e+ 'e(e+*!
Geometer’s Sketchpad $n*$%
mene+%a '$"$* "a-am 'a*a
Ca+*e'an.
1.1 Me=a%!-%an '$"$* "a-am 'a*a
Ca+*e'an 2an# me-e3!!
360° a*a$ 2π
+a"!an $n*$%5
6a7 '$"$* ('!*!,637 '$"$* ne#a*!.
S$"$* ('!*!
S$"$* ne#a*!
B$-a*an $n!*
Ra"!an
Da+/a
Sa*a Ca+*e'an
1 Ma) – Ma)
. Memaam! "an men##$na%an
nam /$ng%i trig"n"mtri
3a#! 'e3a+an# '$"$*.
G$na%an (e+!'!an %m($*e+ $n*$%
mene+%a $n#'! *+!#nme*+! "a-am
"a+/a "an +a"!an.
G$na%an %a-%$-a*+ 'a!n*!!% a*a$
%a-%$-a*+ #+a!% $n*$% mene+%a
$n#'! *+!#nme*+! 3a#! 'e3a+an#
'$"$*.
.1 Men*a%+!%an '!n$', %'!n$'
"an *an#en 3a#! 'e3a+an# '$"$*
"a-am 'a*a Ca+*e'an.
. Men*a%+!%an %*an#en, 'e%an
"an %'e%an 3a#! 'e3a+an#
'$"$* "a-am 'a*a Ca+*e'an.
. Men)a+! n!-a! enam $n#'!
*+!#nme*+! 3a#! 'e3a+an#
'$"$*.
.4 Men2e-e'a!%an (e+'amaan*+!#nme*+!.
G$na%an 3$-a*an $n!* $n*$%
menen*$%an *an"a 3a#! n!'3a
*+!#nme*+!.
Te#a'%an5
sinθ=kos (90°−θ )
kosθ=sin (90 °−θ )
tanθ=kot (90°−θ )
kot θ=tan
(90°−θ
)sekθ=kosek (90°−θ )
kosek θ=sek (90°−θ )
Te#a'%an (en##$naan 'e#! *!#a
$n*$% men)a+! n!'3a *+!#nme*+!
3a#! '$"$*0'$"$* %a' 30° ,
45° "an 60° .
S!n$'
K'!n$'
Tan#en
Se%an
K'e%an
K*an#en
F$n#'! *+!#nme*+!
N!'3a *+!#nme*+!
Pe+'amaan *+!#nme*+!
1 Ma) – Ma) . Memaam! "an men##$na%an
#+a $n#'! '!n$', %'!n$' "an*an#en.
G$na%an )n* '!*$a'! %e!"$(an
'ea+!an $n*$% mem(e+%ena-%an#+a $n#'! *+!#nme*+!.
G$na%an %a-%$-a*+ #+a!% "an
(e+!'!an %m($*e+ 'e(e+*!
Geometer’s Sketchpad $n*$%
mene+%a #+a $n#'! *+!#nme*+!.
.1 Me-$%!' "an me-a%a+ #+a 3a#!
$n#'! *+!#nme*+!56a7 y=c+asinbx ,
637 y=c+akosbx ,
6)7 y=c+a tan bx .
G$na%an '$"$*0'$"$* "a-am5
6a7 "a+ /a,637 +a"!an, "a-am 'e3$*an π .
Te#a'%an )!+!0)!+! #+a '!n$',
%'!n$' "an *an#en.
Te+ma'$% $n#'! *+!#nme*+! 2an#
me-!3a*%an m"$-$'.
G+a
M"$-$'A'!m(**
T!*!% (e+'!-an#an
Ka-a
Am(-!*$"
10
7/23/2019 Rpt t5 - Matematik Tambahan
http://slidepdf.com/reader/full/rpt-t5-matematik-tambahan 11/19
. Menen*$%an 3!-an#an
(en2e-e'a!an 3a#! (e+'amaan
*+!#nme*+! "en#an
men##$na%an -a%a+an #+a.
. Men2e-e'a!%an (e+'amaan
*+!#nme*+! "en#an
men##$na%an #+a0#+a 2an#
*e-a "!-$%!'.
T!"a% *e+ma'$% #a3$n#an 3a#!
$n#'! *+!#nme*+!.
8 Ma) – 1 A(+
4. Memaam! "an men##$na%an
i-ntiti a%a%.
G$na%an %a-%$-a*+ 'a!n*!!% a*a$
#+a!% "an (e+!'!an %m($*e+ 'e(e+*!
Geometer’s Sketchpad $n*$%
mene+%a !"en*!*! a'a'.
4.1 Mem3$%*!%an !"en*!*! a'a'5
6a7
sin2 A+kos
2 A=1 ,
637
1+tan2 A=sek
2 A ,
6)7
1+kot 2 A=kosek
2 A
.
4. Mem3$%*!%an !"en*!*!*+!#nme*+! men##$na%an
!"en*!*! a'a'.
4. Men2e-e'a!%an (e+'amaan
*+!#nme*+! "en#an
men##$na%an !"en*!*! a'a'.
I"en*!*! a'a' /$#a "!%ena-! 'e3a#a!
!"en*!*! P!*a#+a'.
L!3a*%an .1 "an ..
I"en*!*! a'a'
I"en*!*! P!*a#+a'
8 Ma) – 1 A(+ . Memaam! "an men##$na%an
r$m$% 'nam)a*an "an
r$m$% %$-$t )rgan-a.
G$na%an (e+!'!an %m($*e+ 'e(e+*!
Geometer’s Sketchpad $n*$%
mene+%a +$m$' (enam3aan "an
+$m$' '$"$* 3e+#an"a.
.1 Mem3$%*!%an !"en*!*!
*+!#nme*+! "en#an
men##$na%an +$m$'
(enam3aan 3a#!
sin ( A B ) ,
kos ( A B ) "an
tan ( A B ) .
. Mene+3!*%an +$m$' '$"$*
3e+#an"a 3a#! sin 2 A ,
R$m$' (enam3aan *!"a% (e+-$
"!*e+3!*%an.
B!n)an#%an +$m$' '$"$* 'e(a+$.
R$m$' (enam3aan
R$m$' '$"$* 3e+#an"a
R$m$' '$"$* 'e(a+$
11
7/23/2019 Rpt t5 - Matematik Tambahan
http://slidepdf.com/reader/full/rpt-t5-matematik-tambahan 12/19
kos2 A "an
tan 2 A .
. Mem3$%*!%an !"en*!*!
*+!#nme*+! "en#an
men##$na%an +$m$'
(enam3aan "ana*a$ +$m$'
'$"$* 3e+#an"a.
.4 Men2e-e'a!%an (e+'amaan
*+!#nme*+!.
T!"a% *e+ma'$%
akosx+bsin x=c
"en#an %ea"aan c ≠0 .
2. Pi&i* At$r -an Ga)$ngan
TARIKH OBJEKTIF PEMBELAJARAN
CADANGAN AKTIVITI
PENGAJARAN &
PMEBELAJARAN
HASIL PEMBELAJARAN CATATAN KOSA KATA
11 A(+ – 1 A(+
1. Memaam! "an men##$na%an
%n'e( 'i&i* at$r.
G$na%an 3aan man!($-a*! $n*$%
mene+%a (e*$a (en"a+a3an.
G$na%an '!*$a'! %e!"$(an 'ea+!an
'e(e+*! am(a+an e-e%*+n!% $n*$%
mene+%a (!-! a*$+.
1.1 Menen*$%an 3!-an#an )a+a
me-a%$%an (e+!'*!=a 3e+*$+$*0
*$+$* "en#an men##$na%an
(e*$a (en"a+a3an.
1. Menen*$%an 3!-an#an (!-! a*$+
3a#! n 3/e% 2an#
3e+-a!nan.
1. Menen*$%an 3!-an#an (!-! a*$+
3a#! n 3/e% 2an#
3e+-a!nan a(a3!-a r 3/e%
"!(!-! (a"a 'e'$a*$ ma'a.
1.4 Menen*$%an 3!-an#an (!-! a*$+
n 3/e% 2an# 3e+-a!nan
"en#an '2a+a* *e+*en*$.
Ba#! *a/$% !n!5
6a7 (e+%ena-%an %n'e( "en#an
men##$na%an )n*
3e+an#%a,
637 %a-%$-a*+ an2a "!#$na%an
'e-e(a' m$+!" memaam!%n'e(.
Te+a" %e(a"a *!#a (e+!'*!=a.
T!"a% *e+ma'$% %e' 2an# me-!3a*%an
3/e% 'e)aman.
Te+an#%an %n'e( (!-! a*$+ "en#an
men2ena+a!%an 'em$a '$'$nan 2an#
m$n#%!n.
L!3a*%an *a*a*an"a5
6a7
n !=n (n−1 ) …(3)(2)(1)
,
637 0 !=1
P!-! a*$+
Pe*$a (en"a+a3an
Fa%*+!a-
S$'$nan
12
7/23/2019 Rpt t5 - Matematik Tambahan
http://slidepdf.com/reader/full/rpt-t5-matematik-tambahan 13/19
1. Menen*$%an 3!-an#an (!-! a*$+
3a#! n 3/e% 2an#
3e+-a!nan a(a3!-a r 3/e%
"!(!-! (a"a 'e'$a*$ ma'a
"en#an '2a+a* *e+*en*$.
n ! "!3a)a 'e3a#a! ; n
a)*+!a-<.
T!"a% *e+ma'$% %e' '$'$nan 3/e%
"a-am 3$-a*an.
11 A(+ – 1 A(+
. Memaam! "an men##$na%an
%n'e( ga)$ngan.
G$na%an '!*$a'! %e!"$(an 'ea+!an
"an (e+!'!an %m($*e+ $n*$%
mene+%a %n'e( #a3$n#an.
.1 Menen*$%an 3!-an#an
#a3$n#an r 3/e% "!(!-!
"a+!(a"a n 3/e% 2an#
3e+-a!nan.
. Menen*$%an 3!-an#an
#a3$n#an r 3/e%
"a+!(a"a n 3/e% 2an#
3e+-a!nan "en#an '2a+a*
*e+*en*$.
Te+an#%an %n'e( #a3$n#an "en#an
men2ena+a!%an 'em$a (!-!an 2an#
m$n#%!n.
G$na%an )n* $n*$%
men$n/$%%an
Er
P C
r
n
r
n=
.
Ga3$n#an
. K)arang!a&ian M$-a*
TARIKH OBJEKTIF PEMBELAJARAN
CADANGAN AKTIVITI
PENGAJARAN &
PMEBELAJARAN
HASIL PEMBELAJARAN CATATAN KOSA KATA
18 A(+ – A(+ 1. Memaam! "an men##$na%an
%n'e( !)arang!a&ian .
G$na%an '!*$a'! %e!"$(an 'ea+!an
$n*$% mem(e+%ena-%an
%e3a+an#%a-!an.
G$na%an 3aan man!($-a*!,
(e+!'!an %m($*e+ "an %a-%$-a*+
'a!n*!!% a*a$ #+a!% $n*$% mene+%a
%n'e( %e3a+an#%a-!an.
1.1 Men#$+a!%an +$an# 'am(e-
3a#! 'e'$a*$ e%'(+e!men.
1. Menen*$%an 3!-an#an
%e'$"aan 3a#! 'e'$a*$
(e+!'*!=a.
1. Menen*$%an %e3a+an#%a-!an
3a#! 'e'$a*$ (e+!'*!=a.
G$na%an *a*a*an"a 'e*.
B!n)an#%an5
6a7 %e3a+an#%a-!an %-a'!%
6%e3a+an#%a-!an 'e)a+a *e+!7,
637 %e3a+an#%a-!an '$3/e%*!,6)7 %e3a+an#%a-!an %e%e+a(an
+e-a*! 6%e3a+an#%a-!an 'e)a+a
e%'(+!men7.
Te#a'%an5
Ke3a+an#%a-!an %-a'!% 'aa/a
"!#$na%an $n*$% men2e-e'a!%an
ma'a-a.
Se*
R$an# 'am(e-
Pe+!'*!=a
Ke'$"aan
E%'(e+!men
Ke3a+an#%a-!an
Ke%e+a(an
Gam3a+ +a/a Venn
13
7/23/2019 Rpt t5 - Matematik Tambahan
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1.4 Menen*$%an %e3a+an#%a-!an
3a#! "$a (e+!'*!=a5
6a7 A a*a$ B
3e+-a%$,
637 A "an B
3e+-a%$.
Te#a'%an5
" ( A∪B )= " ( A )+ " (B )−¿
"( A # B)
"en#an men##$na%an #an3a+ +a/a
Venn.
18 A(+ – A(+
. Memaam! "an men##$na%an
%n'e( !)arang!a&ian )agi
'ri%tia %a&ing !%!&$%i/ .
G$na%an 3aan man!($-a*! "an
%a-%$-a*+ #+a!% $n*$% mene+%a
%n'e( %e3a+an#%a-!an 3a#! (e+!'*!=a 'a-!n# e%'%-$'!.
G$na%an (e+!'!an %m($*e+ $n*$%
men'!m$-a'!%an e%'(e+!men 2an#
me-!3a*%an %e3a+an#%a-!an 3a#!
(e+!'*!=a 'a-!n# e%'%-$'!.
.1 Menen*$%an 'ama a"a "$a
(e+!'*!=a a"a-a 'a-!n#
e%'%-$'!.
. Menen*$%an %e3a+an#%a-!an
3a#! "$a a*a$ -e3! (e+!'*!=a
2an# 'a-!n# e%'%-$'!.
L!3a*%an (e+!'*!=a 2an# 'a-!n#
e%'%-$'! "an (e+!'*!=a a3!'an.
Te+a" %e(a"a *!#a (e+!'*!=a 'a-!n#
e%'%-$'!.
Pe+!'*!=a 'a-!n# e%'%-$'!
Pe+!'*!=a a3!'an
18 A(+ – A(+
. Memaam! "an men##$na%an
%n'e( !)arang!a&ian )agi
'ri%tia ta! )r%an-ar.
G$na%an 3aan man!($-a*! "an
%a-%$-a*+ #+a!% $n*$% mene+%a
%n'e( %e3a+an#%a-!an 3a#!
(e+!'*!=a *a% 3e+'an"a+.
G$na%an (e+!'!an %m($*e+ $n*$%
men'!m$-a'!%an e%'(e+!men 2an#
me-!3a*%an %e3a+an#%a-!an 3a#! (e+!'*!=a *a% 3e+'an"a+.
.1 Menen*$%an 'ama a"a "$a
(e+!'*!=a a"a-a *a% 3e+'an"a+.
. Menen*$%an %e3a+an#%a-!an
3a#! "$a (e+!'*!=a *a%
3e+'an"a+.
. Menen*$%an %e3a+an#%a-!an 3a#! *!#a (e+!'*!=a *a%
3e+'an"a+.
L!3a*%an #am3a+ +a/a (%%. Pe+!'*!=a *a% 3e+'an"a+
Gam3a+ +a/a (%%
3. Ta)$ran K)arang!a&ian
TARIKH OBJEKTIF PEMBELAJARAN
CADANGAN AKTIVITI
PENGAJARAN &
PMEBELAJARAN
HASIL PEMBELAJARAN CATATAN KOSA KATA
A(+ – ? A(+ 1. Memaam! "an men##$na%an
%n'e( ta)$ran )in"mia&.
G$na%an '!*$a'! %e!"$(an 'ea+!an
$n*$% mem(e+%ena-%an %n'e(
*a3$+an 3!nm!a-.
G$na%an %a-%$-a*+ #+a!% "an
(e+!'!an %m($*e+ $n*$% mene+%a
*a3$+an 3!nm!a-.
1.1 Men2ena+a!%an 'em$a n!-a!
2an# m$n#%!n 3a#! '$a*$
(em3-e$3a +a=a% "!'%+e*.
1. Menen*$%an %e3a+an#%a-!an
3a#! 'e'$a*$ (e+!'*!=a "a-am
'$a*$ *a3$+an 3!nm!a-.
1. Mem(-* #+a *a3$+an 3!nm!a-
1.4 Menen*$%an m!n, @a+!an' "an
'!'!an (!a=a! 3a#! '$a*$
*a3$+an 3!nm!a-.
B!n)an#%an ma%'$" (em3-e$3a
+a=a% "!'%+e*.
L!3a*%an )!+!0)!+! (e+)$3aan
Be+n$--!.
R$m$' 3a#! 1. "an 1.4 *!"a% (e+-$
"!*e+3!*%an.
Pe+)$3aan Be+n$--!
Ta3$+an 3!nm!a-
Pe+)$3aan
G+a *a3$+an 3!nm!a-
Pem3-e$3a +a=a%
Pem3-e$3a +a=a%
"!'%+e*
M!n
Va+!an'
S!'!an (!a=a!
14
7/23/2019 Rpt t5 - Matematik Tambahan
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1. Men2e-e'a!%an ma'a-a 2an#
me-!3a*%an *a3$+an 3!nm!a-.
Me! – : Me!
. Memaam! "an men##$na%an
%n'e( ta)$ran n"rma&.
G$na%an '!*$a'! %e!"$(an 'ea+!an
"an (e+!'!an %m($*e+ 'e(e+*! (a%e/
'*a*!'*!% $n*$% mene+%a %n'e(
*a3$+an n+ma-.
.1 Men#$+a!%an (em3-e$3a
+a=a% 'e-an/a+ "en#an
men##$na%an *a*a*an"a 'e*.
. Men)a+! %e3a+an#%a-!an 3a#!
'%+0 $ $n*$% *a3$+an
n+ma- (!a=a!.
. Men$%a+%an (em3-e$3a
+a=a% 3a#! *a3$+an n+ma-,
% , %e(a"a (em3-e$3a
(!a=a!, $ .
.4 Me=a%!-%an %e3a+an#%a-!an
'e'$a*$ (e+!'*!=a "en#an
men##$na%an *a*a*an"a 'e*.
. Menen*$%an %e3a+an#%a-!an
'e'$a*$ (e+!'*!=a.
.: Men2e-e'a!%an ma'a-a
me-!3a*%an *a3$+an n+ma-.
B!n)an#%an ma%'$" (em3-e$3a
+a=a% 'e-an/a+.
B!n)an#%an )!+!0)!+! 3a#!5
6a7 #+a *a3$+an n+ma-,
637 #+a *a3$+an n+ma- (!a=a!.
$ "!%ena-! 'e3a#a!
(em3-e$3a (!a=a!.
Pen#am!+an 3a#! $n#'! *a3$+an
n+ma- $n*$% menen*$%an
%e3a+an#%a-!an *!"a% "!(e+-$%an.
Pem3-e$3a +a=a%
'e-an/a+
Pem3-e$3a (!a=a!
Ta3$+an n+ma-
Ta3$+an n+ma- (!a=a!
S%+0 $
G+a *a3$+an n+ma-
G+a *a3$+an n+ma-
(!a=a!
AT2. Gra!an Pa-a Gari% L$r$%
TARIKH OBJEKTIF PEMBELAJARAN
CADANGAN AKTIVITI
PENGAJARAN &
PMEBELAJARAN
HASIL PEMBELAJARAN CATATAN KOSA KATA
Me! – Me!
1. Memaam! "an men##$na%an
%n'e( %%aran.
G$na%an )n* "a+!(a"a '!*$a'!
%e!"$(an 'ea+!an, %a-%$-a*+
1.1 Men#ena- (a'*! a+a 'e'a+an
'$a*$ 9a+a "a+! 'a*$ *!*!% *e*a(.
Be+! (ene%anan (en##$naan '!m3-0
'!m3- 3e+!%$*5
s=¿ 'e'a+an
&=¿ a-a/$
a=¿ (e)$*an
t =¿ ma'a
Se'a+an
Ja+a%
T!*!% *e*a(
a+a
15
7/23/2019 Rpt t5 - Matematik Tambahan
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#+a!% "an (e+!'!an %m($*e+ 'e(e+*!
Geometer’s Sketchpad $n*$%
mene+%a %n'e( 'e'a+an.
1. Menen*$%an 'e'a+an '$a*$
9a+a "a+! 'a*$ *!*!% *e*a(.
1. Menen*$%an /$m-a /a+a% 2an#
"!-a-$! -e '$a*$ 9a+a "a-am
'e'$a*$ *em( ma'a *e+*en*$
men##$na%an %ae"a #+a.
"en#an s , & "an a
!a-a $n#'! ma'a.
Te#a'%an (e+3e9aan an*a+a 'e'a+an
"an /a+a%.
B!n)an#%an 'e'a+an ('!*!, 'e'a+an
ne#a*! "an 'e'a+an '!a+.
L!3a*%an (en##$naan #a+!' nm3+.
Me! – Me!
. Memaam! "an men##$na%an
%n'e( *a&aj$.
G$na%an )n* "a+!(a"a '!*$a'!
%e!"$(an 'ea+!an, %a-%$-a*+
#+a!% "an (e+!'!an %m($*e+ 'e(e+*!
Geometer’s Sketchpad $n*$%
mene+%a %n'e( a-a/$.
.1 Menen*$%an $n#'! a-a/$
'$a*$ 9a+a me-a-$! %ae"a
(em3e9aan.
. Menen*$%an a-a/$ 'e%e*!%a
'$a*$ 9a+a.
. Menen*$%an 'e'a+an '$a*$
9a+a "a+!(a"a $n#'! a-a/$
me-a-$! %ae"a (en#am!+an.
Te#a'%an a-a/$ 'e3a#a! %a"a+
(e+$3aan 'e'a+an.
L!3a*%an #+a $n#'! a-a/$.
B!n)an#%an5
6a7 a-a/$ 'e+a#am,
637 a-a/$ 'e%e*!%a '!a+,
6)7 a-a/$ ('!*!,
6"7 a-a/$ ne#a*!.
Ha-a/$
Pem3e9aan
Pen#am!+an
Pe#$n
Me! – Me! . Memaam! "an men##$na%an
%n'e( '4$tan.
G$na%an )n* "a+!(a"a '!*$a'!
%e!"$(an 'ea+!an, %a-%$-a*+
#+a!% "an (e+!'!an %m($*e+ 'e(e+*!
Geometer’s Sketchpad $n*$%
mene+%a %n'e( a-a/$.
.1 Menen*$%an $n#'! (e)$*an
'$a*$ 9a+a me-a-$! %ae"a
(em3e9aan.
. Menen*$%an (e)$*an 'e%e*!%a
'$a*$ 9a+a.
. Menen*$%an a-a/$ 'e%e*!%a
'$a*$ 9a+a "a+!(a"a $n#'!
(e)$*an me-a-$! %ae"a (en#am!+an.
.4 Menen*$%an 'e'a+an '$a*$
9a+a "a+!(a"a $n#'! (e)$*an
me-a-$! %ae"a (en#am!+an.
. Men2e-e'a!%an ma'a-a 2an#
me-!3a*%an #e+a%an (a"a #a+!'
Te#a'%an (e)$*an 'e3a#a! %a"a+
(e+$3aan a-a/$.
B!n)an#%an5
6a7 (e)$*an 'e+a#am,
637 (e)$*an '!a+,
6)7 (e)$*an ('!*!,
6"7 (e)$*an ne#a*!.
Te+ma'$% %e' a-a/$ ma%'!m$m
a*a$ m!n!m$m.
Pe)$*an
16
7/23/2019 Rpt t5 - Matematik Tambahan
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-$+$'.
17
7/23/2019 Rpt t5 - Matematik Tambahan
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A2. Pngat$r4araan Linar
TARIKH OBJEKTIF PEMBELAJARAN
CADANGAN AKTIVITI
PENGAJARAN &
PMEBELAJARAN
HASIL PEMBELAJARAN CATATAN KOSA KATA
J$n – 4 J$n
1. Memaam! "an men##$na%an
%n'e( gra/ !ta!%amaan
&inar.
G$na%an )n* "a+!(a"a '!*$a'!
%e!"$(an 'ea+!an, %a-%$-a*+
#+a!% "an (e+!'!an %m($*e+ 'e(e+*!
Geometer’s Sketchpad $n*$%
mene+%a %n'e( (en#a*$+)a+aan
-!nea+.
1.1 Men#ena- (a'*! "an me-+e%
+an*a$ 2an# mem$a'%an '$a*$
%e*a%'amaan -!nea+ (a"a #+a.
1. Men)a+! 'a*$ %e*a%'amaan
-!nea+ 2an# men*a%+!%an '$a*$+an*a$ 3e+-+e%.
1. Me-+e% '$a*$ +an*a$ 2an#
memen$! 3e3e+a(a
%e*a%'amaan -!nea+ (a"a #+a.
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KP2. Krja Pr"j!
TARIKH OBJEKTIF PEMBELAJARAN
CADANGAN AKTIVITI
PENGAJARAN &
PMEBELAJARAN
HASIL PEMBELAJARAN CATATAN KOSA KATA
Men#!%$* #$+$ 1. Me-a%'ana%an !rja 'r"j! . G$na%an %a-%$-a*+ 'a!n*!!%,
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2an# "!%a/!.
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18
7/23/2019 Rpt t5 - Matematik Tambahan
http://slidepdf.com/reader/full/rpt-t5-matematik-tambahan 19/19
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19
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