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Published by uchiha itachi, 2023-10-28 01:14:56

Modul 7 Matematika Paket B

Modul 7 Matematika Paket B

MODUL 7


i Hidup Hemat MODUL 7


Modul Dinamis: Modul ini merupakan salah satu contoh bahan ajar pendidikan kesetaraan yang berbasis pada kompetensi inti dan kompetensi dasar dan didesain sesuai kurikulum 2013. Sehingga modul ini merupakan dokumen yang bersifat dinamis dan terbuka lebar sesuai dengan kebutuhan dan kondisi daerah masing-masing, namun merujuk pada tercapainya standar kompetensi dasar. Matematika Paket B Setara SMP/MTs Kelas VIII Modul Tema 7 : Hidup Hemat Penulis: Budiharjo Diterbitkan oleh: Direktorat Pembinaan Pendidikan Keaksaraan dan Kesetaraan- Ditjen Pendidikan Anak Usia Dini dan Pendidikan Masyarakat-Kementerian Pendidikan dan Kebudayaan, 2018 iv+ 56 hlm + illustrasi + foto; 21 x 28,5 cm Hak Cipta © 2018 pada Kementerian Pendidikan dan Kebudayaan Dilindungi Undang-Undang ii MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


Kata Pengantar P endidikan kesetaraan sebagai pendidikan alternatif memberikan layanan kepada mayarakat yang karena kondisi geografi s, sosial budaya, ekonomi dan psikologis tidak berkesempatan mengikuti pendidikan dasar dan menengah di jalur pendidikan formal. Kurikulum pendidikan kesetaraan dikembangkan mengacu pada kurikulum 2013 pendidikan dasar dan menengah hasil revisi berdasarkan peraturan Mendikbud No.24 tahun 2016. Proses adaptasi kurikulum 2013 ke dalam kurikulum pendidikan kesetaraan adalah melalui proses kontekstualisasi dan fungsionalisasi dari masing-masing kompetensi dasar, sehingga peserta didik memahami makna dari setiap kompetensi yang dipelajari. Pembelajaran pendidikan kesetaraan menggunakan prinsip fl exible learning sesuai dengan karakteristik peserta didik kesetaraan. Penerapan prinsip pembelajaran tersebut menggunakan sistem pembelajaran modular dimana peserta didik memiliki kebebasan dalam penyelesaian tiap modul yang di sajikan. Konsekuensi dari sistem tersebut adalah perlunya disusun modul pembelajaran pendidikan kesetaraan yang memungkinkan peserta didik untuk belajar dan melakukan evaluasi ketuntasan secara mandiri. Tahun 2017 Direktorat Pembinaan Pendidikan Keaksaraan dan Kesetaraan, Direktorat Jendral Pendidikan Anak Usia Dini dan Pendidikan Masyarakat mengembangkan modul pembelajaran pendidikan kesetaraan dengan melibatkan pusat kurikulum dan perbukuan kemdikbud, para akademisi, pamong belajar, guru dan tutor pendidikan kesetaraan. Modul pendidikan kesetaraan disediakan mulai paket A tingkat kompetensi 2 (kelas 4 Paket A). Sedangkan untuk peserta didik Paket A usia sekolah, modul tingkat kompetensi 1 (Paket A setara SD kelas 1-3) menggunakan buku pelajaran Sekolah Dasar kelas 1-3, karena mereka masih memerlukan banyak bimbingan guru/tutor dan belum bisa belajar secara mandiri. Kami mengucapkan terimakasih atas partisipasi dari Pusat Kurikulum dan Perbukuan Kemdikbud, para akademisi, pamong belajar, guru, tutor pendidikan kesetaraan dan semua pihak yang telah berpartisipasi dalam penyusunan modul ini. Jakarta, Desember 2018 Direktur Jenderal Harris Iskandar iii Hidup Hemat


Daftar Isi ,ĂůĂŵĂŶŝŝHIDUP HEMAT  .DWD3HQJDQWDU L 'DIWDU,VL LL $ 3HWXQMXN3HQJJXQDDQ0RGXO % 7XMXDQ0HPSHODMDUL0RGXO«««««««««««« & 3HQJDQWDU0RGXO ' .HJLDWDQ3HPEHODMDUDQ 8QLW7LS+LGXS+HPDW  8UDLDQ0DWHUL D 3HQJHUWLDQ3HUVDPDDQ*DULV/XUXV««««««« E *UDGLHQ«««««««« F 3HUVDPDDQ*DULV«««««««« G *UDGLHQGDQ*DULV««««««««  .HJLDWDQ  3HQXJDVDQ/DWLKDQ 8QLW0DVDODK<DQJ7HUNDLW.HEXWXKDQ  8UDLDQ0DWHUL 0DVDODK\DQJ7HUNDLW3HUVDPDDQ*DULV/XUXV«««««««  .HJLDWDQ  3HQXJDVDQ/DWLKDQ 8QLW+DUJD'XD%DUDQJ««««««««  8UDLDQ0DWHUL D 3HQJHUWLDQ63/'9«««««««« E 3HQ\HOHVDLDQ63/'9«««««««« F 0DVDODK\DQJ7HUNDLW63/'9«««««««  .HJLDWDQ  3HQXJDVDQ/DWLKDQ ( 5DQJNXPDQ ) 6DUDQ5HIHUHQVL * 3HQLODLDQ$NKLU0RGXO                fl ffi     fl   Modul 2 iv MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϭHIDUP HEMAT  A. Petunjuk Penggunaan Modul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fl $SDELOD $QGD PHQJDODPL NHVXOLWDQ PHQJHUMDNDQ VRDO ODWLKDQ GDQ SHQLODLDQ DNKLU PRGXO PDND$QGD GDSDW PHQJJXQDNDQ UXEULN SHQLODLDQ NXQFL MDZDEDQ GDQ SHPEDKDVDQ \DQJ GLEHULNDQ GLDNKLUPRGXO DJDUOHELK PHPDKDPL.HUMDNDQXODQJVRDOODWLKDQGDQSHQLODLDQDNKLUVDPSDL$QGD \DNLQWLGDNPHQJDODPLNHVXOLWDQPHQJHUMDNDQVRDO ffi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odul 2 Hidup Hemat 1


,ĂůĂŵĂŶϮHIDUP HEMAT   *DPEDU$OXU0RGHO.HJLDWDQ3HPEHODMDUDQ  .HJLDWDQ3HPEHODMDUDQ7DWDS0XND 3HPEHODMDUDQ WDWDS PXND PHUXSDNDQ VHSHUDQJNDW WLQGDNDQ \DQJ GLUDQFDQJ XQWXN PHQGXNXQJ SURVHV EHODMDU SHVHUWD GLGLN VHFDUD WDWDS PXND VHGDQJNDQ NHJLDWDQ WDWDS PXND DGDODK NHJLDWDQ SHPEHODMDUDQ \DQJ GLGDODPQ\D WHUMDGL SURVHV LQWHUDNVL DQWDUD SHVHUWD GLGLN GDQ SHQGLGLNWXWRU 0HWRGH \DQJ VHULQJ GLJXQDNDQ GDODP NHJLDWDQ SHPEHODMDUDQ VHSHUWL PHWRGH GLVNXVL WDQ\D MDZDE GHPRQVWUDVL HNVSHULPHQGDQODLQQ\D  .HJLDWDQ3HPEHODMDUDQ7XWRULDO 3HPEHODMDUDQ WXWRULDO \DQJ GLPDNVXG GDODP NHJLDWDQ LQL DGDODK GLPDQD SHPEHODMDUDQ GLODNXNDQ VHFDUD PDQGLUL XQWXN PDWHULPDWHUL \DQJ GDSDW GHQJDQPXGDKGLSDKDPLROHKSHVHUWDGLGLNVHGDQJNDQEDJLPDWHULPDWHUL \DQJGLDQJJDSVXOLWXQWXNGLSDKDPLDWDXGLSHODMDULPDNDGLODNXNDQGHQJDQ WDWDS PXND 'DODP SHPEHODMDUDQ PHWRGH WXWRULDO LQL GLEHULNDQ GHQJDQ EDQWXDQ WXWRU 6HWHODK SHVHUWD GLGLN GLEHULNDQ EDKDQ NDMLDQ PDWHUL SHPEHODMDUDQ NHPXGLDQ SHVHUWD GLGLN GLPLQWD XQWXN PHPSHODMDUL NDMLDQ PDWHUL \DQJ DGD GDODP PRGXO 3DGD EDJLDQ NDMLDQ PDWHUL \DQJ GLUDVD VXOLWSHVHUWDGLGLNGDSDWEHUWDQ\DNHSDGDWXWRU 3HQJJXQDDQ0RGXO 0RGHO 7DWDS0XND 7XWRULDO 0DQGLUL 0HQJNDML0DWHUL 0HODNXNDQ.HJLDWDQ 3HPEHODMDUDQ Mengkaji materi secara totalDiskusi, Tanya Jawab, Eksperimen, Latihan/LK dengan bimbingan tutor  3UHVHQWDVL.RQILUPDVL GDQ5HIOHNVL WĞŶŝůĂŝĂŶŬŚŝƌ DŽĚƵů 0HQJNDML0DWHULGDQ 0HODNXNDQ .HJLDWDQ 3HPEHODMDUDQ 7XWRULDO Mengkaji materi secara mandiri dan materi yang belum dipahami disepakati ada penjadwalan khusus dengan tutor  0HQJNDML0DWHULGDQ 0HODNXNDQ .HJLDWDQ 3HPEHODMDUDQ 0DQGLUL Mengkaji materi secara mandiri dan berkomunikasi dengan peserta didik lain serta materi dipastikan dipelajari sampai tuntas  2 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϯHIDUP HEMAT   .HJLDWDQ3HPEHODMDUDQ0DQGLUL .HJLDWDQ SHPEHODMDUDQ PDQGLUL PHUXSDNDQ NHJLDWDQ SHPEHODMDUDQ \DQJ GLGRURQJ DJDU SHVHUWD GLGLN XQWXN PHQJXDVDL VXDWX NRPSHWHQVL JXQD PHQ\HOHVDLNDQVXDWXSHUPDVDODKDQ3DGDNHJLDWDQSHPEHODMDUDQPDQGLUL SHVHUWD GLGLN GLEHULNDQ PDWHUL NDMLDQ \DQJ DGD GDODP PRGXO XQWXN GLSHODMDULGDQGLDUDKNDQXQWXNPHPHJDQJNHQGDOLGDODPPHQHPXNDQGDQ PHQJRUJDQLVLUMDZDEDQ\DQJGLKDUDSNDQ3HQHWDSDQNRPSHWHQVLVHEDJDL WXMXDQSHPEHODMDUDQPDQGLULGDQVDPSDLSDGDFDUDSHQFDSDLDQPXODLGDUL SHQHQWXDQZDNWX EHODMDUWHPSDWEHODMDU VXPEHU EHODMDU ODLQQ\DPDXSXQ HYDOXDVL PRGXO GLODNXNDQ ROHK SHVHUWD GLGLN LWX VHQGLUL 3DGD SHPEHODMDUDQ PDQGLUL GLSDVWLNDQ GHQJDQ EHQDU EDKZD SHVHUWD GLGLN PHODNXNDQ NDMLDQ PDWHUL PHODNXNDQ WDKDSDQ NHJLDWDQ SHPEHODMDUDQ WDKDSDQ SHQXJDVDQODWLKDQ HYDOXDVL EDKNDQ VDPSDL SDGD WDKDS SHQLODLDQGLODNXNDQROHKSHVHUWDLWXVHQGLUL B. Tujuan Pembelajaran Modul 7XMXDQ VHWHODK PHPSHODMDUL 0RGXO  LQL GLKDUDSNDQ SHVHUWD GLGLN PHPLOLNL NHPDPSXDQSHQJHWDKXDQGDQNHWHUDPSLODQVHKLQJJDGDSDWffl  0HQMHODVNDQSHQJHUWLDQSHUVDPDDQJDULVOXUXV  0HQJJDPEDU JUDILN SHUVDPDDQ JDULV OXUXV SDGD ELGDQJ NRRUGLQDW NDUWHVLXV  0HQHQWXNDQWLWLNSRWRQJVXDWXJDULVGHQJDQVXPEXNRRUGLQDW  0HQMHODVNDQNHPLULQJDQVXDWXJDULV  0HQHQWXNDQNHPLULQJDQVXDWXJDULV  0HQHQWXNDQSHUVDPDDQJDULVOXUXV  0HQHQWXNDQNHGXGXNDQWLWLNGDQJDULV fl 0HQHQWXNDQNHGXGXNDQGXDJDULV ffi 0HQJLGHQWLILNDVLKXEXQJDQDQWDUJDULV\DQJVDOLQJEHUSRWRQJDQGDQVHMDMDU  0HQHQWXNDQWLWLNSRWRQJJDULVGHQJDQJDULV  0HQJJDPEDUNDQ NHPLULQJDQ SHUVDPDDQ JDULV OXUXV WLWLN SRWRQJ GDQ NHGXGXNDQGXDJDULV  0HQ\HOHVDLNDQ SHUPDVDODKDQ \DQJ EHUNDLWDQ GHQJDQ IXQJVL OLQHDU VHEDJDLSHUVDPDDQJDULVOXUXV  0HQMHODVNDQVLVWHPSHUVDPDDQOLQHDUGXDYDULDEHO  0HQHQWXNDQKDVLOSHQ\HOHVDLDQVLVWHPSHUVDPDDQOLQHDUGXDYDULDEHO  0HPEXDWPRGHOPDWHPDWLND GDUL SHUPDVDODKDQ VHKDULKDUL \DQJ EHUNDLWDQ GHQJDQVLVWHPSHUVDPDDQOLQHDUGXDYDULDEHO  0HQ\HOHVDLNDQ PDVDODK \DQJ EHUNDLWDQ GHQJDQ SHUVDPDDQ OLQHDU GXD YDULDEHOGDQVLVWHPSHUVDPDDQGIJOLQHDUGXDYDULDEHO C. Pengantar Modul 3HPEHODMDUDQ PHUXSDNDQ ZDKDQD XQWXN PHPGDSDWNDQ NHPDPSXDQ EDLN VLNDS SHQJHWDKXDQ GDQ NHWHUDPSLODQ 8QWXN PHQGXNXQJ WHUFLSWDQ\D NHJLDWDQ SHPEHODMDUDQ EDLN PHODOXL PRGHO WDWDS PXND WXWRULDO PDXSXQ Modul 2 Modul 2 Hidup Hemat 3


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,ĂůĂŵĂŶϱHIDUP HEMAT  8QLW7LS+LGXS+HPDW 6HGDQJNDQXQWXNPDWHUL63/'9GLJDPEDUNDQSHWDNRQVHSVHEDJDLEHULNXW D. Kegiatan Pembelajaran 3DGD0RGXOGHQJDQWHPD³+LGXS+HPDW´GLEDJLPHQMDGLWLJDXQLW\DLWXffl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pengeluaran NXUDQJ GDULpemasukanDWDXJDMLQ\D Modul 2 *DPEDUffl.HEXWXKDQ6HKDULKDUL ^ƵŵďĞƌ͗ŚƚƚƉ͗ͬͬŵLJĐƵƚĞůŝƚƚůĞŽŶĞ͘ďůŽŐƐƉŽƚ͘ĐŽ͘ŝĚ Modul 2 Hidup Hemat 5


,ĂůĂŵĂŶϲHIDUP HEMAT  'DODPPHODNVDQDNDQ NHJLDWDQ EHUEHODQMD VHFDUD KHPDW DGD EHEHUDSD DNWLYLWDV NHJLDWDQEHUEHODQMD\DQJPHQDULNXQWXNGLEDKDV0LVDOQ\DSDGDPLQJJXLQLKDUJD JXODSDVLUVHODOX5SOHELKQ\DGDULKDUJDEHUDVNXDOLWDVGXD+DOWHUVHEXW GDSDWGLNDML VHFDUDPDWHPDWLNDELOD \DGDODKKDUJDJXOD [DGDODKKDUJD NHFDS GDQ 5S GLQ\DWDNDQ VHEDJDL  VDWXDQ PDND SHUVDPDDQ GDUL NHDGDDQ WHUVHEXW DGDODK\  [   &RQWRK ODLQ SDGD VDDW,EX EHODQMD GL SDVDUWHUGDSDW UHODVL KDUJD PLQ\DN WHUKDGDS KDUJD NHFDS 5HODVL WHUVHEXW GLQ\DWDNDQ GHQJDQ KDUJD PLQ\DN GXD NDOL KDUJD NHFDS SHUERWRO  PLVDOQ\D KDUJD PLQ\DN DGDODK \ GDODP ULEXDQ UXSLDK  GDQ KDUJD NHFDS DGDODK [ GDODP ULEXDQ UXSLDK  PDND SHUVDPDDQQ\D\ [.HGXDIXQJVLVHGHUKDQDWHUVHEXWPHUXSDNDQFRQWRK\DQJ DGDGDODPNHKLGXSDQVHKDUL±KDUL 8UDLDQ0DWHUL *DPEDU)XQJVL/LQHDU $QGDWHQWXPDVLKLQJDWEDKZDJDPEDUJUDILNIXQJVLI [  D[ESDGDELGDQJ NRRUGLQDW NDUWHVLXV ELOD GRPDLQ x PHUXSDNDQ ELODQJDQ UHDO JDPEDU IXQJVL WHUVHEXWEHUXSDJDULVOXUXV0HQJDSDGHPLNLDQ"+DOLQLVXGDKWHUEDKDVSDGD PRGXO VHEHOXPQ\D \DLWX ³5HODVL GDQ )XQJVL´ %HULNXW NLWD DNDQ OHELK PHQGDODPL WHQWDQJ JDULV OXUXV WHUVHEXW *DPEDU IXQJVL \ffl  [ → [   ODQJNDK PXGDK XQWXN PHQJJDPEDU IXQJVL WHUVHEXW NLWD EXDW WDEHO GHQJDQ GDHUDKDVDO^±±±` [ Domain ± ± ±     [ ± ± ±             \ I [  range ±       .RRUGLQDW ±±  ± ±                  :                 • •  • • • • • A B                       [ \ I [ *DPEDU*DPEDUIXQJVL\ffl[→[ 6 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϳHIDUP HEMAT  %LOD DQJJRWD GDHUDK DVDO EHUXSD ELODQJDQ EXODW VHSHUWL SDGD WDEHO PDND JDPEDU IXQJVL WHUVHEXW EHUXSD WLWLN ± WLWLN ELUX  ELOD GLQ\DWDNDQ VHEDJDL KLPSXQDQGLWXOLV^ [\ |\ [[\∈%`1DPXQELODGDHUDKDVDOELODQJDQUHDO VHKLQJJD GRPDLQ  ^[ | ±  ” [ ”  [∈5` PDND JDPEDUQ\D  EHUXSD JDULV FRNODWELODGLQ\DWDNDQVHEDJDLKLPSXQDQGLWXOLV^ [\ |\ [[\∈5` &RQWRKODLQSDGDLOXVWUDVLWHUVHEXWDGDODKIXQJVLKDUJDPLQ\DN \ GDQKDUJD NHFDS [ GHQJDQGHQJDQSHUVDPDDQ\ [&REDLVLODKWDEHOGLEDZDKLQLff [ ±     [      \ I [       NRRUGLQDW      6HKLQJJDJDPEDUSDGDELGDQJNRRUGLQDWNDUWHVLXVDGDODKVHEDJDLEHULNXWff           *DPEDU*DPEDUIXQJVL\ffl[→[ 'DSDWNDK $QGD PHPEXDW WDEHO XQWXN PHQJJDPEDU  WLWLN ± WLWLN PHUDK ELOD GLQ\DWDNDQVHEDJDLKLPSXQDQGLWXOLV^ [\ |\ [[\∈%` GDQJDULVELUXELOD GLQ\DWDNDQVHEDJDLKLPSXQDQGLWXOLV^ [\ |\ [[\∈5` D3HQJHUWLDQ3HUUVDPDDQ*DULV/XUXV 3HQJHUWLDQSHUVDPDDQJDULVOXUXV %LOD VHEXDK IXQJVL I GLJDPEDU GDODP ELGDQJ NDUWHVLXV GHQJDQ \  I [  EHUXSD JDULV OXUXVPDND UXPXVIXQJVLWHUVHEXWPHUXSDNDQ SHUVDPDDQ JDULVOXUXV 3HQXOLVDQ IXQJVL OLQHDU VHEDJDL SHUVDPDDQ JDULV OXUXV DGD  PRGHO \DLWXff 9 SHUVDPDDQJDULV \DQJGLQ\DWDNDQ VHFDUDexplisit\ P[FPLVDOffl \ [±\ [\ ଵ ଶ [\ [GDQODLQ±ODLQ 9 SHUVDPDDQJDULV\DQJGLQ\DWDNDQVHFDUDimplisit\DLWXD[E\F  FRQWRK[\± [±\ [\ GDQODLQ±ODLQ                       [ \ I [ •    • • • • Hidup Hemat 7


,ĂůĂŵĂŶϴHIDUP HEMAT  0HQJJDPEDU3HUVDPDDQ*DULV/XUXVGHQJDQ7DEHO D  *DPEDUJDULV\ P[F &RQWRKff *DPEDUODKSDGDELGDQJNRRUGLQDWNDUWHVLXV\  ૚ ૛ [ %LODNLWDDNDQPHQJJDPEDUJDULVWHUVHEXWGLNDUHQDNDQNRHILVLHQ ³[´ DGDODK ૚ ૛  NLWD SLOLK GRPDLQ ELODQJDQ JHQDS VHKLQJJD OHELK PHPXGDKNDQVDDWPHODNXNDQSHUKLWXQJDQ [ (domain) ± ± ±     ଵ ଶ [ ± ± ±             \ I [  (range)        NRRUGLQDW ±                  *DPEDU*DULV\ ଵ ଶ [  E  *DPEDUJDULVD[E\F  3HUKDWLNDQJDPEDUJDULV\ [GDQJDPEDUJDULV\ ଵ ଶ [ SDGD NHGXD JDULV LWX PDVLQJ ± PDVLQJ PHPLOLNL  WLWLN LVWLPHZD \DLWX$GDQ%SDGDJDULV\ [3GDQ4SDGDJDULV\ ଵ ଶ [ .HLVWLPHZDDQ WLWLN WHUVHEXW DGDODK PDVLQJ ± PDVLQJ WLWLN EHUDGD GL VXPEXNRRUGLQDW6HWLDSWLWLN [\ SDGDVXPEX;PDND\ XQWXN NHGXD JDULV WHUVHEXW DGDODK WLWLN ± WLWLN % ±    GDQ 3 ±      • • • •                       [ \ I [ • • • P Q 8 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϵHIDUP HEMAT  6HGDQJNDQVHWLDSWLWLN [\ SDGDVXPEX<PDND[ SDGDNHGXD JDULVWHUVHEXWDGDODKWLWLN±WLWLN$ ± GDQ4   • 'HQJDQGHPLNLDQPDNDVHWLDSWLWLN [\ SDGDVXPEX<PDND [ GDQVHWLDSWLWLN [\ SDGDVXPEX;PDND\  • 0HODOXL GXD WLWLN WHUWHQWX KDQ\D GDSDW GLEXDW VHEXDK JDULV OXUXV +DOLQLODK\DQJNLWDJXQDNDQVHEDJDLFDUDXQWXNPHQJJDPEDUJUDILN SHUVDPDDQJDULVOXUXVD[E\F  &RQWRK *DPEDUJDULVGHQJDQSHUVDPDDQ[\  7LWLNSRWRQJGHQJDQ VXPEX;PDND\  [  ⇔[  ⇔[± ± ⇔[ ± ⇔ [  ±  MDGL JDULV WHUVHEXWPHODOXL ±  7LWLNSRWRQJGHQJDQ VXPEX<PDND[  \  ⇔\  ⇔\± ± ⇔\ ± ⇔ \  ±  MDGL JDULV WHUVHEXWPHODOXL ±  0DNDJDULV[\ PHODOXL ± GDQ ±   Y    X  *DPEDU*DULV[\  &RQWRK *DPEDUJDULVGHQJDQSHUVDPDDQ[±\  0RGHOWDEHOWLWLNSRWRQJWHUKDGDSVXPEXNRRUGLQDWff [  « \ «  [\  « « .HPXGLDQVHWHODKGLKLWXQJNRRUGLQDWNHGXDWLWLNQ\Dff [  [±  ⇔[  ⇔[  \ ±\  ⇔±\  ⇔\ ±  [\  ±    ± ± • •  ±  ±  Hidup Hemat 9


,ĂůĂŵĂŶϭϬHIDUP HEMAT  *DPEDUJUDILNSHUVDPDDQ[±\          *DPEDU*DULV[±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fl    ±   • •       ±             ; < $OWHUQDWLI $OWHUQDWLI -DZDEDQ 0DVDODKD 10 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϭϭHIDUP HEMAT  *UDILNMDUDN\DQJGLWHPSXKPRWRUD\DK         *DPEDU*DULV\ ͶͲ[ D *UDILNWHUVHEXWPHPEHQWXNJDULVOXUXV E 3HUVDPDDQJDULVOXUXVWHUVHEXW\ [ F 8QWXNPHQHPSXKMDUDNNPGLSHUOXNDQòOLWHUEDKDQEDNDU G %DKDQEDNDUòOLWHUGDSDWPHQHPSXKMDUDNNLORPHWHU ,EX PHPEHOL PLQ\DN JRUHQJ  OLWHU GDODP MHULJHQ+DOLQLGLODNXNDQNDUHQDKDUJDQ\D OHELKPXUDKGLEDQGLQJEHOLHFHUDQ-HULJHQ WHUVHEXWGLOHWDNNDQGLEDJDVLPRELONDUHQD VHVXDWX KDO MHULJHQ WHUVHEXW UHWDN GL EDJLDQ EDZDK VHKLQJJD PLQ\DN JRUHQJ UHPEHVóOLWHUWLDSMDPQ\D D *DPEDUODKJUDILN\DQJPHQ\DWDNDQVLVDPLQ\DNGDODPMHULJHQ E $SDNDKJUDILNWHUVHEXWPHPEHQWXNJDULVOXUXV" F %LODPHPEHQWXNJDULVOXUXVWXOLVSHUVDPDDQJDULVWHUVHEXW G %HUDSD OLWHU VLVD PLQ\DN GDODP MHULJHQ ELOD ,EX PHQJHWDKXL NHERFRUDQMHULJHQVHWHODKMDP" 7DEHOVLVDPLQ\DNJRUHQJGDODPMHULJHQ GDODPOLWHU  :DNWX [    fl ,VLDZDO      0LQ\DNWXPSDK ±ó[ ±ò ± ±ò ± 6LVD I [  ò  ò  .RRUGLQDW      • •    • ò • ò    fl     ; < I [ $OWHUQDWLI $OWHUQDWLI -DZDEDQ • 0DVDODKD 'ĂŵďĂƌϬϬ͗DŝŶLJĂŬ'ŽƌĞŶŐ ^ƵŵďĞƌ͗ŚƚƚƉƐ͗ͬͬǁǁǁ͘ŵĞĚŝĐĂůĚĂŝůLJ͘ĐŽŵ Hidup Hemat 11


,ĂůĂŵĂŶϭϮHIDUP HEMAT  D *UDILN\DQJPHQ\DWDNDQVLVDPLQ\DNGDODPMHULJHQ         *DPEDUfl*DULV\ െͳ Ͷ [ E *UDILNWHUVHEXWPHPEHQWXNJDULVOXUXV F 3HUVDPDDQJDULVOXUXVWHUVHEXW\ ±ó[ G 6LVDPLQ\DNJRUHQJGDODPMHULJHQVHWHODKMDPDGDODKòOLWHU 'LVNXVLNDQ GHQJDQ NHORPSRN $QGD FRQWRK ± FRQWRK ODLQ GDODP NHKLGXSDQ VHKDUL ± KDUL ELOD KDO WHUVHEXW GLQ\DWDNDQ GDODP JUDILN NDUWHVLXVGDSDWPHPEHQWXNJDULVOXUXV E *UDGLHQ *DPEDU GL VDPSLQJ PHQXQMXNNDQ NHMDGLDQ RUDQJ SXODQJ GDUL EHUEHODQMD GHQJDQ PHQJHQGDUDL PRELO GDQ VHGDQJ PHOHZDWL MDODQ QDLN DWDX PHQDQMDN %LOD MDODQ LWX NLWD DQJJDS VHEDJDL JDULV PDND NHPLULQJDQJDULVDGDODKVDODKVDWX IDNWRU \DQJ PHQHQWXNDQ NHODMXDQ NHQGDUDDQ DJDU Q\DPDQ GDQ VHODPDW %HULNXW LQL NLWD DNDQ EDKDV WHQWDQJ NHPLULQJDQ JDULV *DPEDUffi-DODQQDLNFXUDP WHUVHEXWGDODPPDWHPDWLND 6XPEHUffKWWSVfflZZZDXWRELOGHVQRWLFLDV  • • • ò  fl      ; < I [ •  •       ffi Ayo Diskusikan 12 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϭϯHIDUP HEMAT  3HQJHUWLDQ*UDGLHQ *UDGLHQ JDULV GDSDW MXJD GLVHEXW NHPLULQJDQ NHFRQGRQJDQ DWDX NHFHQGHUXQJDQ VXDWX JDULV /DPEDQJ DWDX YDULDEHO JUDGLHQ \DQJ ELDVD GLJXQDNDQDGDODK³m´ *UDGLHQDGDODKSHUEDQGLQJDQDQWDUDNRPSRQHQ\DWDXMDUDNYHUWLNDO ± VLVL WHJDNGLEDQGLQJ GHQJDQ NRPSRQHQ [DWDX MDUDN KRUL]RQWDO ± VLVLGDWDUSDGDJDULVWHUVHEXWKDOLQLGDSDWGLWXOLVff ݉ ൌ ݕ݊݁݊݋݌݉݋݇ ݔ݊݁݊݋݌݉݋݇   *UDGLHQJDULV D  *DULV$%³miring´NHNDQDQ   B  A  C .RPSRQHQ[ $& (ke kanan, +6) .RPSRQHQ\ &% (ke atas, +3) -DGLJUDGLHQJDULV$%DWDXP$% ࢔ࢋ࢔࢕࢖࢓࢕࢑࢟ ૜ ൌ ࢞࢔ࢋ࢔࢕࢖࢓࢕࢑ ૟ ൌ ૚ ૛ *DULV$%³miring´NHNDQDQJUDGLHQQ\D³ELODQJDQSRVLWLI´ E  *DULV34³miring´NHNLUL P  R     Q  .RPSRQHQ[ 35  NHNDQDQ  .RPSRQHQ\ 54 ± NHEDZDK±  ࢟࢔ࢋ࢔࢕࢖࢓࢕࢑ P34DGL- ૝ି ൌ ࢞࢔ࢋ࢔࢕࢖࢓࢕࢑ ૜ ൌെ ૝ ૜ ൌ െ૚ ૚ ૜ *DULV$%³miring´NHNLULJUDGLHQQ\D³ELODQJDQQHJDWLI´ F  *DULV./YHUWLNDODWDXWHJDN   K    L  .RPSRQHQ[   WLGDNNHNDQDQDWDXNHNLUL  .RPSRQHQ\ ./ ± NHEDZDK±  -DGLP./ ௞௢௠௣௢௡௘௡௬ ௞௢௠௣௢௡௘௡௫ ൌ ିସ ଴ SHPEDJLDQGHQJDQQRO³WLGDNWHUGLILQLVLNDQ´ VHKLQJJDJDULVYHUWLNDOJUDGLQQ\DWLGDNWHUGLILQLVLNDQ Hidup Hemat 13


,ĂůĂŵĂŶϭϰHIDUP HEMAT  G  *DULV01KRUL]RQWDODWDXPHQGDWDU   M  N  .RPSRQHQ[ 01  NHNDQDQ  .RPSRQHQ\   WLGDNNHDWDVDWDXNHEDZDK  -DGLP01 ௞௢௠௣௢௡௘௡௬ ௞௢௠௣௢௡௘௡௫ ൌ ଴ ଻ ൌ Ͳ VHKLQJJDJDULVKRUL]RQWDODWDXPHQGDWDUJUDGLHQQ\D   *UDGLHQJDULV\DQJPHODOXLWLWLNSDGDELGDQJNDUWHVLXV 3HUKDWLNDQJDULV$%GDQJDULV&'EHULNXW         *DPEDU*UDGLHQJDULVPHODOXLWLWLN 1LODLJUDGLHQGDULPDVLQJ±PDVLQJJDULV \DLWXJDULV$%GDQ&'GDSDW GLSHUROHKGHQJDQFDUDVHEDJDLEHULNXWff • $%PHODOXL$  GDQ% ±± VHKLQJJDff .RPSRQHQ[ [%±[$ ±± ±ffi .RPSRQHQ\ \%±\$ ±± ± -DGLJUDGLHQJDULV$%DWDXP$% ࢔ࢋ࢔࢕࢖࢓࢕࢑࢟ ࡭࢟ି࡮࢟ ൌ ࢞࢔ࢋ࢔࢕࢖࢓࢕࢑ ࡭࢞ି࡮࢞ ൌ ି૝ ିૢ ൌ ૝ ૢ • *DULV&'PHODOXL& ± GDQ' ± VHKLQJJDff .RPSRQHQ[ ['±[& ± ±    .RPSRQHQ\ \'±\& ±± ± -DGLJUDGLHQJDULV&'DWDXP&' ࢔ࢋ࢔࢕࢖࢓࢕࢑࢟ ࡯࢟ିࡰ࢟ ൌ ࢞࢔ࢋ࢔࢕࢖࢓࢕࢑ ࡯࢞ିࡰ࢞ ൌ ି૞ ଵଶ ൌȂ ૞ ଵଶ %LODNRRUGLQDW$ [\ GDQ% [\ PDNDJUDGLHQJDULV$% ૚ܡି૛ܡ %$P ૚ܠି૛ܠ •% ±± ' ±  •                    ; <  $   • •& ± 14 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϭϱHIDUP HEMAT   7HQWXNDQJUDGLHQPDVLQJ±PDVLQJJDULVGLEDZDKLQL       ;ŝͿ     ;ŝŝͿ   ;ŝŝŝͿ   ;ŝǀͿ    $PELODK WDQJJD NHPXGLDQ VDQGDUNDQ NH WHPERN +LWXQJODK JUDGLHQ WDQJJD WHUVHEXW $JDU GDSDW PHUDLK WHPSDW \DQJ OHELK WLQJJLEDJDLPDQDQLODLJUDGLHQWDQJJDWHUVHEXW"  L P ௞௢௠௣௢௡௘௡௬ ௞௢௠௣௢௡௘௡௫ ൌ ଶ ହ LL P ௞௢௠௣௢௡௘௡௬ ௞௢௠௣௢௡௘௡௫ ൌ ିସ ଶ ൌ  െʹ LLL P ௞௢௠௣௢௡௘௡௬ ௞௢௠௣௢௡௘௡௫ ൌ ସ ଴ JUDGLHQWLGDNWHUGLILQLLVLNDQ LY P ௞௢௠௣௢௡௘௡௬ ௞௢௠௣௢௡௘௡௫ ൌ ଴ ସ ൌ Ͳ  3HUKDWLNDQVNHWVDJDPEDUEHULNXW L       LL  3DGDJDPEDU L XQWXNPHQHQWXNDQJUDGLHQWDQJJDPDNDGDSDW GLXNXU GDQ GLWHQWXNDQ EDKZD NRPSRQHQ [   FP GDQ NRPSRQHQ\ FP-DGLPWDQJJD ݇݋݉݋݌݊݁݊ݕ Ͳ͸ͳ ൌ ݔ݊݁݊݋݌݉݋݇ ͳʹͲ ൌ ͳǡ͵͵ $JDUGDSDWPHUDLKOHELKWLQJJLPDNDNRPSRQHQ\WDQJJDWHUVHEXW MXJDKDUXVGLQDLNNDQSDGDJDPEDUflFPVHKLQJJDNRPSRQHQ [ NXUDQJ GDUL VHPXOD SDGD JDPEDU fl FP 6HKLQJJD JUDGLHQ ݕ݊݁݊݋݌݉݋݇  PWDQJJDff PHQMDGL WDQJJD ͵ͳͺ ൌ ݔ݊݁݊݋݌݉݋݇ ͺͲ ൌ ʹǡʹͻ  'HQJDQ GHPLNLDQGDSDWGLVLPSXONDQELODWDQJJDLQJLQPHUDLKOHELKWLQJJL PDNDJUDGLHQQ\DKDUXVOHELKGDULJUDGLHQVHEHOXPQ\D ƚĞŵďŽŬ ůĂŶƚĂŝ ϭϮϬĐŵ ϴϬĐŵ ϭϲϬĐŵ ƚĞŵďŽŬ ůĂŶƚĂŝ ϭϴϯĐŵ $OWHUQDWLI $OWHUQDWLI -DZDEDQ 0DVDODKE Hidup Hemat 15


,ĂůĂŵĂŶϭϲHIDUP HEMAT  &RED DPDWL EHQGD GL VHNLWDU $QGD DSDNDK DGD EHQGD \DQJ PHPLOLNL XQVXUNHPLULQJDQ"7HPXNDQVHEDQ\DNPXQJNLQEHQGD±EHQGDWHUVHEXW GDQ GLVNXVLNDQ DSD IXQJVL NHPLULQJDQ EHQGD DWDX EDJLDQ GDUL EHQGD WHUVHEXW" F 3HUVDPDDQ*DULV   3HUVDPDDQJDULV\ P[ 3HUKDWLNDQJDPEDUgaris bGDQgaris gEHULNXW          *DPEDU*DULV\ P[ L  3HUVDPDDQJDULVEDGDODK\ [ *DULVWHUVHEXWPHODOXL$  SHUKDWLNDQVHJLWLJD2$$PDNDff NRPSRQHQ[ 2$ GDQNRPSRQHQ\ $$  JUDGLHQJDULVE PJUE ௞௢௠௣௢௡௘௡௬ ௞௢௠௣௢௡௘௡௫ ൌ  ଶ ଵ ൌ ʹ 7HUQ\DWDJDULVWHUVHEXWMXJDPHODOXL%  WHQWXNDQNRPSRQHQ[ NRPSRQHQ\GDQJUDGLHQJDULVE$SDNDKP$% " LL  3HUVDPDDQJDULVJDGDODK\ െ ૚ ૜ [ *DULVWHUVHEXWPHODOXL3 ± SHUKDWLNDQVHJLWLJD233PDNDff NRPSRQHQ[ 23 GDQNRPSRQHQ\ 33 ± JUDGLHQJDULVJ PJUJ ࢔ࢋ࢔࢕࢖࢓࢕࢑࢟ ࢞࢔ࢋ࢔࢕࢖࢓࢕࢑ ൌ  ି૚ ૜ ൌ െ ૚ ૜  *DULV WHUVHEXW MXJD PHODOXL 4   ±   WHQWXNDQ NRPSRQHQ [ NRPSRQHQ\GDQJUDGLHQJDULVJ$SDNDKPJUJ െ ૚ ૜ " 6L,ODKNDQPHQ\HOLGLNL JUDGLHQ JDULV ODLQ \DQJ MXJDPHODOXL SDQJNDO NRRUGLQDW  DSDNHVLPSXODQQ\D" 2 • $   • 3 ±  $ • 3 • 4  •                   ; < • % Ayo Diskusikan 16 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


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,ĂůĂŵĂŶϭϵHIDUP HEMAT  3RVLVLWLWLNWHUKDGDSJDULV 3HUKDWLNDQJDPEDUJDULV\ െ ૚ ૜ [ EHULNXW          *DPEDU*DULV\ െ ૚ ૜ [ 3RVLVLWLWLNWHUVHEXWWHUKDGDSJDULVGDSDWGLWXQMXNNDQVHSHUWLWDEHOEHULNXWff dŝƚŝŬ 'ĂƌŝƐ\ െ ૚ ૜ [ WŽƐŝƐŝƚŝƚŝŬƚĞƌŚĂĚĂƉŐĂƌŝƐ $ ± \ െ ૚ ૜ [ ⇔±fiെ ૚ ૜  ⇔±fi± ⇔±fi dŝƚŝŬĚŝďĂǁĂŚŐĂƌŝƐ %   \ െ ૚ ૜ [ ⇔ െ ૚ ૜  ⇔ ± ⇔  dŝƚŝŬƉĂĚĂŐĂƌŝƐ &   \ െ ૚ ૜ [ ⇔!െ ૚ ૜  ⇔!െ ૛ ૜  ⇔!૚ ૚ ૜ dŝƚŝŬĚŝĂƚĂƐŐĂƌŝƐ ' ± « « ( ±± « « ) ± « « 3RVLVL WLWLN 7 [\  WHUKDGDS JDULV \  P[  F GDSDW GLNHWDKXL GHQJDQ FDUD PHQVWXEVWLWXVL [\  NH SHUVDPDDQ JDULV %LOD KXEXQJDQ SHUQ\DWDDQQ\D VDPD GHQJDQ PDNDWLWLNWHUVHEXW EHUDGDSDGDJDULV%LODKXEXQJDQSHUQ\DWDDQQ\D³OHELKGDUL´ !  PDND WLWLN WHUVHEXW EHUDGD GL DWDV JDULV %LOD KXEXQJDQ SHUQ\DWDDQQ\D  ³NXUDQJ GDUL´ fi  PDND WLWLN WHUVHEXW EHUDGD GL EDZDKJDULV • %    • $ ±  • ( ±±  • F( ±                  ; < • ' ±  • &    Hidup Hemat 19


,ĂůĂŵĂŶϮϬHIDUP HEMAT  'LNHWDKXL$ ± GDQ% ± WHQWXNDQff D 3HUVDPDDQJDULV\DQJPHODOXL$GDQ% E *UDGLHQJDULV$% F 7LWLNSRWRQJJDULVWHUVHEXWGHQJDQVXPEX< ૚ܡିܡ D ૚ܡି૛ܡ ૚ܠିܠ ൌ ૚ܠି૛ܠ ⇔ ܡିሺି૝ሻ ૜ିሺି૝ሻ ൌ ܠ૜ି ૝ାܡ⇔૜ି૝ି ૠ ൌ ܠ૜ି ିૠ ⇔ܡା૝ ૜ିܠ ൌ૚ ି૚ ⇔± \   [± ⇔±\± [± ⇔±\ [±⇔±\ [⇔[\  ⇔\ ±[± E *UDGLHQJDULVP$% ± F 7LWLNSRWRQJGHQJDQVXPEX< ±  G *UDGLHQGDQ*DULV   *UDGLHQJDULVVHMDMDU           *DPEDU*DULVVHMDMDU 3HUKDWLNDQ JDULV D PD  ଷ ଶ   WHQWXNDQ JUDGLHQ JDULV E F G GDQ H %DJDLPDQD NHGXGXNDQ NHOLPD JDULV WHUVHEXW" %HQDU NHOLPD JDULV WHUVHEXWVHMDMDU%XDWODKWLJDEXDKJDULVVHMDMDUGDQWHQWXNDQJUDGLHQ PDVLQJ±PDVLQJJDULVWHUVHEXW$SDNDKJUDGLHQQ\DMXJDVDPD" %LOD JDULV g VHMDMDU GHQJDQ JDULV l PDND JUDGLHQ NHGXD JDULV WHUVHEXWVDPDDWDXJDULVglPDNDPg Pl   a b c d e 0DVDODKF                     ; <  $OWHUQDWLI $OWHUQDWLI -DZDEDQ 20 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϮϭHIDUP HEMAT    *UDGLHQJDULVWHJDNOXUXV           *DPEDU*DULVWHJDNOXUXV 3HUKDWLNDQJDULV±JDULVSDGDJDPEDUGLDWDVJDULVWHJDNOXUXVJDULV GDQJDULVWHJDNOXUXVJDULV*DPEDUODKJDULVGDQVHUWDJDULV GDQfl\DQJMXJDVDOLQJWHJDNOXUXV,VLODKWLWLN±WLWLNEHULNXW ୥ୟ୰୧ୱ ଵ ൌ െ ͵ ͷ ୥ୟ୰୧ୱ ଶ ൌ ͷ ͵ ୥ୟ୰୧ୱ ଵš ୥ୟ୰୧ୱଶ ൌ െ ͵ ͷ Ǥ ͷ ͵ ൌ െͳ ୥ୟ୰୧ୱ ଷ ൌ െ ʹ ͳ ୥ୟ୰୧ୱ ସ ൌ ڮ୥ ୟ୰୧ୱ ଷš ୥ୟ୰୧ୱସ ൌ െ ʹ ͳ Ǥǥൌڮ ୥ୟ୰୧ୱହ ൌ ڮ୥ ୟ୰୧ୱ ଺ ൌ ڮ୥ ୟ୰୧ୱ ହ š ୥ୟ୰୧ୱ଺ ൌڮSǥൌڮ ୥ୟ୰୧ୱ଻ ൌ ڮ୥ ୟ୰୧ୱ ଼ ൌ ڮ୥ ୟ୰୧ୱ ଻ š ୥ୟ୰୧ୱ଼ ൌڮSǥൌڮ %LODGXDJDULVVDOLQJWHJDNOXUXVPDNDKDVLOSHUNDOLDQJUDGLHQQ\D DGDODK±+DOWHUVHEXWGDSDWGLWXOLVff %LODJDULVg ⊥ lPDNDPgPl ± D  *DPEDUODKVHEXDKJDULVJNHPXGLDQWHQWXNDQJUDGLHQQ\D E  *DPEDUODKJDULVE\DQJVHMDMDUGHQJDQJDULVJWHQWXNDQPE F  *DPEDUODKJDULVU\DQJWHJDNOXUXVGHQJDQJDULVJWHQWXNDQPU   0DVDODKG                     ; <  Hidup Hemat 21


,ĂůĂŵĂŶϮϮHIDUP HEMAT            D  *UDGLHQJDULVJ  ૚ ૛ E  *UEJUJPE  ૚ ૛ F  *UU⊥JUJPU ± • %DJDLPDQDJUDGLHQJDULV\DQJVHMDMDUGHQJDQJDULVYHUWLNDO" • %DJDLPDQDJUDGLHQJDULV\DQJWHJDNOXUXVGHQJDQJDULVYHUWLNDO" 3HQXJDVDQ 3DGD NHJLDWDQ 8QLW  ³7LS +LGXS +HPDW´PHOLSXWL EHEHUDSD NDMLDQPDWHUL \DLWXffl D 7XMXDQ 3DGDSHPEHODMDUDQLQLPHPLOLNLWXMXDQSHQXJDVDQDJDUSHVHUWDGLGLNGDSDWff • PHPDKDPL SHQJHUWLDQ SHUVDPDDQ JDULV OXUXV GDQ PHQJJDPEDU SHUVDPDDQJDULV • PHPDKDPLSHQJHUWLDQJUDGLHQ NHPLULQJDQ JDULV • PHQHQWXNDQ SHUVDPDDQ JDULV \  P[ \  P[  F D[  E\  F   SHUVDPDDQJDULVPHODOXLGXDWLWLN  $OWHUQDWLI $OWHUQDWLI -DZDEDQ                     ; <   Ayo Diskusikan 22 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϮϯHIDUP HEMAT  • PHPDKDPLVLIDWVLIDWJUDGLHQ JUDGLHQJDULV\DQJVHMDMDUGHQJDQVXPEX [JUDGLHQJDULV\DQJ VHMDMDUVXPEX\JUDGLHQGXDJDULV\DQJVHMDMDU JUDGLHQGXDJDULV\DQJWHJDNOXUXV  E 0HGLD$ODW%DKDQGDQ6XPEHU%HODMDU/DLQQ\D $ODWGDQ%DKDQ\DQJGLJXQDNDQNHUWDVEHUSHWDNEXNXWXJDVGDQDODW±DODW WXOLV F /DQJNDK/DQJNDK.HJLDWDQ3HPEHODMDUDQ3HVHUWD'LGLNffl .HJLDWDQ 3HPEHODMDUDQ Dffl PHPDKDPL SHQJHUWLDQ SHUVDPDDQ JDULV OXUXVGDQPHQJJDPEDUSHUVDPDDQJDULVSDGDELGDQJNDUWHVLXV 7HQHQWXNDQSHUVDPDDQJDULVNHPXGLDQJDPEDUODKSDGDELGDQJNDUWHVLXV \DQJPHQJJJDPEDUNDQNRQGLVLEHULNXWff D +DUJDOLWHU3HUWDPD[7XUERDGDODKGXDNDOLKDUJDOLWHU%LR6RODU E 6HPXOD OLOLQ SDQMDQJQ\D  FP VDDW PHQ\DOD VHWLDS MDP OLOLQ LWX EHUNXUDQJ͵ Ͷ FP F 'HZLOHELKWXDWDKXQGDUL'LQGD .HJLDWDQ3HPEHODMDUDQEfflSHQJHUWLDQJUDGLHQ NHPLULQJDQ JDULV  7HQWXNDQJUDGLHQJDULV\DQJ$QGDJDPEDUSDGD.HJLDWDQD  7HQWXNDQJUDGLHQJDULV\DQJPHODOXL3 ± GDQ4 ±±  .HJLDWDQ3HPEHODMDUDQFfflWHUDPSLOPHQHQWXNDQSHUVDPDDQJDULV\  P[\ P[FD[E\F SHUVDPDDQJDULVPHODOXLGXDWLWLN  *DPEDUGDQEHULSHQMHODVDQSHUVDPDDQJDULV\ [GDQ\ ±[  *DPEDUGDQEHULSHQMHODVDQSHUVDPDDQJDULV\ ଵ ଶ [± GDQ\ ±ͳ ʹ [  7HQWXNDQSHUVDPDDQJDULV\DQJPHODOXL  GHQJDQJUDGLHQ±  7HQWXNDQSHUVDPDDQJDULV\DQJPHODOXL. ±± GDQ4 ±  .HJLDWDQ3HPEHODMDUDQGfflPHPDKDPLVLIDWVLIDWJUDGLHQ JUDGLHQJDULV \DQJVHMDMDUGHQJDQVXPEX[JUDGLHQJDULV\DQJVHMDMDUVXPEX\JUDGLHQ GXDJDULV\DQJVHMDMDUJUDGLHQGXDJDULV\DQJWHJDNOXUXV   *DPEDUODKJDULV[ GDQ\ NHPXGLDQWHQWXNDQJUDGLHQQ\D  'LNHWDKXLJDULVJGHQJDQSHUVDPDDQ[\±  D 7HQWXNDQSHUVDPDDQJDULV\DQJVHMDMDUJDULVJGDQPHODOXL ±  E 7HQWXNDQSHUVDPDDQJDULV\DQJWHJDNOXUXVJDULVJGDQPHODOXL   .HJLDWDQE .HJLDWDQF .HJLDWDQG .HJLDWDQD Hidup Hemat 23


,ĂůĂŵĂŶϮϰHIDUP HEMAT  6RDO/DWLKDQ7XJDV  *DPEDUGDQWHQWXNDQSHUVDPDDQJDULV\DQJPHQJJJDPEDUNDQ NRQGLVLVHEDJDLEHULNXWff D6HEHOXPQ\D NXRWD LQWHUQHW VD\D PDVLK  JLJDE\WH QDPXQ VDDW QRQWRQ VLDUDQ ODQJVXQJ OHZDW WHOHSRQ JHQJJDP WLDS MDP NXRWD LQWHUQHWVD\DEHUNXUDQJͳ ʹ JLJDE\WH E*DMLD\DKVHWHODKGLWDEXQJ5SGLVHUDKNDQNHSDGDLEX XQWXNEHODQMD F 8VLD%XGLVHNDUDQJWDKXQOHELKWXDGDUL$QQD G0RELOLWXVHWLDSEDKDQEDNDUOLWHUKDQ\DGDSDWPHQHPSXKMDUDN NLORPHWHU  7HQWXNDQJUDGLHQJDULV\DQJ$QGDJDPEDUSDGDVRDOQRPRU  7HQWXNDQJUDGLHQJDULV\DQJPHODOXL$ ±± GDQ4 ±   8VLD%XGLWDKXQOHELKPXGDGDULXVLD,GD D 1\DWDNDQIXQJVLXVLD%XGLVHNDUDQJWHUKDGDSXVLD,GD E *DPEDUODKIXQJVLWHUVHEXWGDODPELGDQJNDUWHVLXV F $SDNDKEHUXSDJDULVOXUXV"7XOLVSHUVDPDDQQ\D G %HUGDVDUNDQJDPEDUWHUVHEXWEHUDSDXVLD%XGLSDGDVDDWXVLD,GD EHUXVLDflWDKXQ"  *DPEDUODKSHUVDPDDQJDULV\ ଷ ସ [GDQ\ ±ଷ ସ [SDGDVDWXJDPEDU  *DPEDUODKJDULV\ [±GDQ\ ±[SDGDVDWXJDPEDU  7HQWXNDQSHUVDPDDQJDULV\DQJPHODOXL ± GHQJDQJUDGLHQ± fl 7HQWXNDQSHUVDPDDQJDULV\DQJPHODOXL. ±± GDQ4 ±  ffi 'LNHWDKXL JDULV J GHQJDQ SHUVDPDDQ [ ± \ ± ffi   7HQWXNDQ SHUVDPDDQJDULVff D VHMDMDUJDULVJGDQPHODOXL ±  E WHJDNOXUXVJDULVJGDQPHODOXL ±  24 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϮϱHIDUP HEMAT  8UDLDQ0DWHUL 0DVDODK WHUNDLW SHQJKHPDWDQ DLU GDSDW GLVHOHVDLNDQ GHQJDQ SHUVDPDDQ ODQJNDKSHUWDPD\DQJKDUXVGLODNXNDQDGDODKPHQJXEDKNDOLPDW FHULWDDWDX IDNWDWHUVHEXW NHGDODP NDOLPDWPDWHPDWLND 7HQWX VDMD GDODP KDO LQL DGDODK SHUVDPDDQ 0DVDODK\DQJWHUNDLWSHUVDPDDQJDULVOXUXV 0DVDODK \DQJ WHUNDLW GHQJDQ SHUVDPDDQ GDODP SHQJKHPDWDQ DLU FXNXS EDQ\DNGLDQWDUDQ\Dffl D  3HQJKHPDWDQSHQJJXQDDQDLU E  0HQJHWDKXLSHUVHGLDDQDLUPLQXP D  .HEXWXKDQ SRNRN DLU GDODP VDWX NHOXDUJD $UPDQ XQWXN PDQGL PDVDN GDQ FXFL SHUKDUL OHELK GDUL  P 6HODLQ LWX SHQJJXQDDQ DLU ELDVDQ\DXQWXNFXFLPRWRUPHQ\LUDPKDODPDQDWDXNHSHUOXDQODLQ 0XODL KDUL LQL GDODP UDQJND KLGXS KHPDW D\DK PHQJDWXU GDQ PHPEDWDVLWLDSKDULKDQ\Dଷ ସ P L  7HQWXNDQ  SHUVDPDDQ JDULV \DQJ PHQ\DWDNDQ NHEXWXKDQ DLU GLNDLWNDQGHQJDQZDNWX KDUL  LL  %HUDSD ZDNWX \DQJ GLEXWXKNDQ MLND DLU WHODK GLJXQDNDQ VHEDQ\DNP" LLL  %HUDSDPHWHUNXELNDLU\DQJWHODKGLJXQDNDQSDGDKDULNH" E  6HNDUDQJ NHOXDUJD 1DQGD PHPLOLNL VLPSDQDQ DLU PLQXP GL UXPDK VHEDQ\DNOLWHU5DWD±UDWDWLDSMDPNHOXDUJDWHUVHEXWEXWXK ଷ ସ OLWHU DLUPLQXP L  7HQWXNDQ SHUVDPDDQ JDULV \DQJ PHQ\DWDNDQ SHUVHGLDDQ DLU PLQXPELODGLNDLWNDQGHQJDQZDNWXSHUMDPQ\D LL  %HUDSDVLVDDLUPLQXPVHWHODKGLJXQDNDQflMDP" LLL  .DSDQVLPSDQDQDLUPLQXPGLUXPDK1DQGDKDELV" 8QLW+HPDW3HQJJXQDDQ$LU Modul 2 $LUPHUXSDNDQVDODKVDWXNHEXWXKDQSRNRNVHKDUL± KDUL \DQJ WLGDN ELVD GLWLQJJDONDQ ROHK NHOXDUJD 0LVDOQ\D XQWXNPDQGL FXFL SDNDLDQPHPDVDN GDQ ODLQ±ODLQ1DPXQWLGDNMDUDQJNLWDPHQJJXQDNDQDLU \DQJ NXUDQJ VHVXDL GHQJDQ NHEXWXKDQ NDUHQD NHOXSDDQ PHQXWXS NUDQ NHERFRUDQ SLSD DWDX PHQJJXQDNDQ DLU \DQJ NXUDQJ EHUPDQIDDW 1DPXQ ELOD KDO WHUVHEXW GDSDW GLFHJDK DNDQ PHQJKHPDW SHQJHOXDUDQUXPDKWDQJJD 0DVDODK 'ĂŵďĂƌϬϬ͗WĞŶŐŐƵŶĂĂŶŝƌ 6XPEHUfflKWWSfflSNPFLNXQGXOEORJVSRWFRP Hidup Hemat 25


,ĂůĂŵĂŶϮϲHIDUP HEMAT  D  3HUKDWLNDQSHUQ\DWDDQff³tiap hari hanya ૜ ૝ m3´ L  'DUL SHUQ\DWDDQff ³tiap hari hanya ૜ ૝ m3´ 'DSDW GLQ\DWDNDQ VHEDJDL SHUVDPDDQ  \   ૜ ૝  [  ³\´ DGDODK EDQ\DNQ\D DLU VHGDQJNDQ³[´DGDODKZDNWXGDODPKDUL LL  \  ૜ ૝ [⇔ ૜ ૝ [⇔ [⇔[  $LUWHODKGLJXQDNDQPVHODPDKDUL LLL  \  ૜ ૝ [⇔\  ૜ ૝ ⇔\ ffi 3DGDKDULNHDLUWHODKGLJXQDNDQVHEDQ\DNffiP E  3HUKDWLNDQ SHUQ\DWDDQffl ³Nanda PHPLOLNL VLPSDQDQ DLU PLQXP GL UXPDKVHEDQ\DNOLWHU´GDQ³rata – rataWLDSMDPNHOXDUJDWHUVHEXW EXWXKଷ ସ OLWHUDLUPLQXP´ L  'DUL SHUQ\DWDDQ WHUVHEXW GDSDW GLQ\DWDNDQ VHEDJDL SHUVDPDDQ\ െ ૜ ૝ [³\´DGDODKVLVDVLPSDQDQDLUPLQXP GLUXPDKVHGDQJNDQ³[´DGDODKVDWXDQZDNWXGDODPMDP LL  6LVDDLUPLQXPVHWHODKGLJXQDNDQflMDPDUWLQ\D[ flPDNDffl \ െ ૜ ૝ [⇔\ െ ૜ ૝ fl⇔\ ± fl 6LVDDLUPLQXPVHWHODKGLJXQDNDQflMDPDGDODKflOLWHU LLL  6LPSDQDQ DLU PLQXP GL UXPDK 1DQGD KDELV DUWLQ\D \   PDNDff \ െ ૜ ૝ [⇔ െ ૜ ૝ [⇔૜ ૝ [ െ ૜ ૝ [૜ ૝ [ ⇔ ૜ ૝ [ ⇔[ ffi⇔[  6LPSDQDQDLUPLQXPGLUXPDK1DQGDKDELVVHWHODKMDP %XDWODK FRQWRK ODLQ GDODP NHKLGXSDQ VHKDUL ± KDUL \DQJ GDSDW GLQ\DWDNDQ VHEDJDL SHUVDPDDQ OLQHDU GXD YDULDEHO VHKLQJJD GDSDW GLJDPEDUGDODPELGDQJNDUWHVLXVPHUXSDNDQJDULVOXUXV $OWHUQDWLI $OWHUQDWLI -DZDEDQ Ayo Diskusikan 26 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϮϳHIDUP HEMAT  3HQXJDVDQ 3DGDNHJLDWDQ8QLW³+LGXS+HPDW´PHOLSXWLEHEHUDSDNDMLDQPDWHULPHOLSXWLffl D 7XMXDQ 3DGDSHPEHODMDUDQLQLPHPLOLNLWXMXDQSHQXJDVDQDJDUSHVHUWDGLGLNGDSDW PHQ\HOHVDLNDQ PDVDODK GDODP NHKLGXSDQ VHKDUL ± KDUL \DQJ WHUNDLW GHQJDQSHUVDPDDQJDULVOXUXV E 0HGLD$ODW%DKDQGDQ6XPEHU%HODMDU/DLQQ\D $ODW GDQ %DKDQ \DQJ GLJXQDNDQ NHUWDV EHUSHWDN EXNX WXJDV GDQ DODW ± DODWWXOLV F /DQJNDK/DQJNDK .HJLDWDQ  DGDODK PHQ\HOHVDLNDQ PDVDODK GDODP NHKLGXSDQVHKDUL±KDUL\DQJWHUNDLWGHQJDQSHUVDPDDQJDULVOXUXV 'DODP UDQJND PHPHQXKL EHUEDJDL NHSHUOXDQ VHWLDS  KDUL ,EX PHPEXWXKNDQPDLUEHUVLK D *DPEDUODK JUDILN KDO WHUVHEXW GDODP ELGDQJ NRRUGLQDW NDUWHVLXV GHQJDQ VXPEX; VHEDJDL VDWXDQ ZDNWX KDUL  GDQ VXPEX< VHEDJDL VDWXDQNHEXWXKDQDLU P  E %HUGDVDUNDQ³JUDILN´WHUVHEXWWHQWXNDQNHEXWXKDQDLUVHODPDKDUL F %LOD,EXPHPEXWXKNDQDLUVHEDQ\DNPEHUDSDODPDDLUWHUVHEXW GLJXQDNDQ" 6RDO/DWLKDQ   8VLD NDNDN WDKXQ LQL VDPD GHQJDQ VHSHUWLJD XVLD D\DK SDGD WDKXQ GHSDQ L  1\DWDNDQ SHUQ\DWDDQ WHUVHEXW VHEDJDL SHUVDPDDQ \DQJ PHQ\DWDNDQXVLDNDNDNWHUKDGDSXVLDD\DKVHNDUDQJ LL  %LODXVLDNDNDNWDKXQEHUDSDXVLDD\DKVHNDUDQJ" LLL  %LODXVLDD\DKVHNDUDQJWDKXQEHUDSDXVLDNDNDN"   3HQJHOXDUDQ,EXEXODQLQL5SOHELKKHPDWGDULEXODQ\DQJODOX L  1\DWDNDQ SHUQ\DWDDQ WHUVHEXW VHEDJDL SHUVDPDDQ \DQJ PHQ\DWDNDQ SHQJHOXDUDQ LEX WHUKDGDS SHQJHOXDUDQ LEX EXODQ \DQJODOX LL  %LODSHQJHOXDUDQLEXEXODQLQL5SEHUDSDSHQJHOXDUDQ LEXEXODQ\DQJODOX .HJLDWDQ Hidup Hemat 27


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odul 2 ,ĂůĂŵĂŶϮϴHIDUP HEMAT  %DJLNHOXDUJD\DQJLQJLQKLGXSKHPDW PDND NHEXWXKDQ DODW ± DODW UXPDK WDQJJDPHUXSDNDQ VDUDQD \DQJ KDUXV GLPLOLNL 7HQWX VDMD VDDW PHPEHOL EDUDQJ ± EDUDQJ WHUVHEXW KDUXV GLVHVXDLNDQ GHQJDQ NHEXWXKDQ GDQ GDQD \DQJ DGD 7DN KDUXV SHUDODWDQ UXPDK WDQJJD PRGHUQ \DQJ SDOLQJ SHQWLQJ DGDODK NLWD ELVD PHPDQIDDWNDQ 6DODK VDWX \DQJ GLSHUWLPEDQJNDQ WHQWDQJ EDUDQJ NHEXWXKDQ DGDODK PDVDODK KDUJD 6HODLQ KDUJD MXJDIUHTXHQVL NHJXQDDQ EDUDQJWHUVHEXW 8UDLDQ0DWHUL 3HUVDPDDQ/LQHDU 6HEHOXP NLWDPHPEDKDV VLVWHP SHUVDPDDQ OLQHDU GXD YDULDEHOPDULODK NLWD PHQJLQJDWNHPEDOLSHUVDPDDQ\DQJWHODKGLSHODMDULGLDQWDUDQ\Dff L  SHUVDPDDQOLQHDUVDWXYDULDEHOOLQHDUGLVLQLDUWLQ\DSDQJNDWWHUWLQJJL GDULYDULDEHOQ\DDGDODKVDWXGDQKDQ\DWHUGDSDWVDWXYDULDEHO &RQWRKff D YDULDEHOQ\D³D´GDQ³DSDQJNDW´   ±[ [YDULDEHOQ\D³[´GDQ³[SDQJNDW´ %XNDQFRQWRKffl D NDUHQDYDULDEHO³D´SDQJNDWGXD    D±E NDUHQDDGDYDULDEHO\DLWX³D´GDQ³E´ *DPEDU3HUDERW5XPDK7DQJJD 6XPEHUfflKWWSVfflELVQLVXNPFRPXSORDGV 8QLW+DUJD'XD%DUDQJ .HEXWXKDQ Modul 2 28 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϮϵHIDUP HEMAT  LL  SHUVDPDDQ OLQHDU GXD YDULDEHO \DLWX VHEXDK SHUVDPDDQ \DQJ PHPLOLNLGXDYDULDEHO\DQJPDVLQJ±PDVLQJEHUSDQJNDWVDWX &RQWRKffl[\ YDULDEHOffl³[´GDQ³\´PDVLQJ±PDVLQJSDQJNDW   D±E YDULDEHOffl³D´GDQ³E´PDVLQJ±PDVLQJSDQJNDW %XNDQFRQWRKffl [\ NDUHQDYDULDEHO³[´SDQJNDWGXD    D±EF ffiNDUHQDDGDYDULDEHO\DLWXDEGDQF D 3HQJHUWLDQ63/'9 .RSHUDVL'HVDPHQMXDONHEXWXKDQVHKDUL±KDULGLDQWDUDQ\DNHFDSPLQ\DN JRUHQJ WHSXQJ JDQGXP EHUDV GDQ ODLQ ± ODLQ ,EX $QQD PHPEHOL VHERWRO NHFDSGDQNJEHUDVVHKDUJD5SVHGDQJNDQ,EX(QGDQJPHPEHOL ERWRONHFDSGDQNJEHUDVVHKDUJD5S.HFDSGDQEHUDV\DQJGLEHOL ,EX$QQDGDQ,EX(QGDQJDGDODKVHMHQLV 3DGDLOXVWUDVLFHULWDWHUVHEXWPLVDOKDUJDNHFDSSHUERWRO³[´GDQKDUJDEHUDV SHUNJ³\´SHPEHOLDQ,EX$QQDGDSDWGLQ\DWDNDQff[\ VHGDQJNDQ SHPEHOLDQ,EX(QGDQJGDSDWGLQ\DWDNDQGDODPPRGHO[\ 'XD SHUVDPDDQWHUVHEXWYDULDEHOQ\DVDPDGDQWHUNDLW\DQJVDWXGHQJDQ\DQJODLQ \DLWXffl [\    [\  %LODSHUVDPDDQ\DQJVDWXWHUNDLWGHQJDQSHUVDPDDQ\DQJODLQGDQSDGD PDVLQJPDVLQJ SHUVDPDDQ PHUXSDNDQ SHUVDPDDQ OLQHDU GHQJDQ GXD YDULDEHO PDND VLVWHP SHUVDPDDQ WHUVHEXW GLVHEXW VLVWHP SHUVDPDDQ OLQHDUGXDYDULDEHO  $QGL GDQ%XGLWLDS KDULPHQ\LVLKNDQ XDQJQ\D XQWXN GLWDEXQJ6HWLDS KDUL %XGL PHQDEXQJ 5S OHELK EDQ\DN GDUL XDQJ \DQJ GLWDEXQJ $QGL 8DQJ WDEXQJDQ $QGL GDQ %XGL VHODPD  KDUL WHUNXPSXO 5S 1\DWDNDQXDQJWDEXQJDQ$QGLGDQ%XGLWHUVHEXWGDODPVLVWHPSHUVDPDDQ GXDYDULDEHO 0LVDO XDQJWDEXQJDQ$QGLWLDS KDUL ³D´ GDQ XDQJWDEXQJDQ%XGLWLDS KDUL ³E´PDNDffl • Setiap hari Budi menabung Rp3.000,- lebih banyak dari uang yang ditabung Andi.+DOLQLGDSDWGLQ\DWDNDQGHQJDQE D • Uang tabungan Andi dan Budi selama 5 hari terkumpul Rp45.000,-+DO LQLGDSDWGLQ\DWDNDQGHQJDQDE  'HQJDQGHPLNLDQ63/'9SDGDFHULWDWHUVHEXWffff 0DVDODKD E D DE  $OWHUQDWLI $OWHUQDWLI -DZDEDQ Hidup Hemat 29


$SDNDK ELOD NLWD PHPLOLNL  SHUVDPDDQ GHQJDQ GXD YDULDEHO DNDQ VHODOX PHPEHQWXN VLVWHP SHUVDPDDQ OLQHDU GXD YDULDEHO" %HULNDQ FRQWRK SHUVDPDDQ GDODP NHKLGXSDQ VHKDUL ± KDUL \DQJ PHPEHQWXN VLVWHP SHUVDPDDQ GXD YDULDEHO GDQ \DQJEXNDQPHPEHQWXN VLVWHP SHUVDPDDQ GXDYDULDEHO E 3HQ\HOHVDLDQ63/'9 6LVWHPSHUVDPDDQOLQHDUGXDYDULDEHO 63/'9 GDSDWGLVHOHVDLNDQGHQJDQ FDUD\DLWXff • 0HWRGHHOLPLQDVL\DLWXPHQ\HOHVDLNDQ63/'9GHQJDQFDUDPHQJHOLPLQLU DWDX³PHQJKLODQJNDQ´VDODKVDWXYDULDEHO • 0HWRGH JUDILN \DLWX PHQ\HOHVDLNDQ 63/'9 GHQJDQ FDUD PHQJJDPEDU PDVLQJ ± PDVLQJ SHUVDPDDQ GDQ PHQHQWXNDQ WLWLN SRWRQJ JUDILN SHUVDPDDQWHUVHEXW • 0HWRGH VXEVWLWXVL \DLWX PHQ\HOHVDLNDQ 63/'9 GHQJDQ FDUD PHQVXEVWLWXVLDWDX³PHQJJDQWL´VDODKVDWXYDULDEHO &RQWRKff 3HUKDWLNDQ VLVWHP SHUVDPDDQ EHULNXW NHPXGLDQ WHQWXNDQ SHQ\HOHVDLDQQ\D GHQJDQPHWRGHHOLPLQDVLVXEVWLWXVLGDQJUDILN  -DZDEff • 0HWRGHHOLPLQDVL [\ ⇔[\  GLNDOL[\  \ [± ⇔±[\ ± GLNDOL±[\ ± ± NXUDQJNDQ        [          ⇔[  0HQJDSDGLNXUDQJNDQ"$JDUQLODL\WHUHOLPLQDVL DWDXPHQMDGLQRODWDX³KLODQJ´ [\ ⇔[\  GLNDOL[\  \ [± ⇔±[\ ± GLNDOL±[ \ ±  MXPODKNDQ        \  ⇔\  0HQJDSDGLMXPODKNDQ"$JDUQLODL[WHUHOLPLQDVL DWDXPHQMDGLQRODWDX³KLODQJ´ -DGLKLPSXQDQSHQ\HOHVDLDQQ\D ^  ` [\  \ [± Ayo Diskusikan 30 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϯϭHIDUP HEMAT  [\  \ [± .HGXD SHUVDPDDQ WHUVHEXW ELOD GLJDPEDU EHUXSD JDULV OXUXV +LPSXQDQ SHQ\HOHVDLDQQ\DDGDODKWLWLNSRWRQJNHGXDJDULVWHUVHEXW  3HUVDPDDQJDULV L [\ PHODOXL  GDQ   3HUVDPDDQJDULV LL \ [±PHODOXL ± GHQJDQP   Y    X  7LWLNSRWRQJQ\D3  -DGLKLPSXQDQSHQ\HOHVDLDQQ\D ^  ` • 0HWRGHVXEVWLWXVL [\  L  \ [±  LL  1LODL\SDGDSHUVDPDDQ LL disubstitusikanNHSHUVDPDDQ L VHKLQJJDff [\ ⇔[ [±   ⇔[[±       ⇔[±       ⇔[       ⇔[  \ [±⇔\ ± ± ⇔\  -DGLKLPSXQDQSHQ\HOHVDLDQQ\D ^  ` 3HUKDWLNDQ63/'9EHULNXWffl  D 6HOHVDLNDQ63/'9WHUVHEXWGHQJDQPHWRGHHOLPLQDVL E 6HOHVDLNDQ63/'9WHUVHEXWGHQJDQPHWRGHJUDILN F 6HOHVDLNDQ63/'9WHUVHEXWGHQJDQPHWRGHVXEVWLWXVL    ± 0DVDODKE [\  [±\   P ; • 0HWRGHJUDILN Hidup Hemat 31


,ĂůĂŵĂŶϯϮHIDUP HEMAT  D 0HWRGHHOLPLQDVL [\  GLNDOL [\  [±\  GLNDOL [±\  ±     \       ⇔\  [\  GLNDOL [\  [±\  GLNDOL [±\        [       ⇔[  ૚૞ ૚૙ ൌ ૚ ૚ ૛ -DGLKLPSXQDQSHQ\HOHVDLDQQ\D ^ ૚ ૚ ૛  ` E 0HWRGHJUDILN 3HUVDPDDQJDULV L ff[\ PHODOXL  GDQ   3HUVDPDDQJDULV L ff[±\ PHODOXL ± GDQ ૚ ૛    Y    X     -DGLKLPSXQDQSHQ\HOHVDLDQQ\D ^ ૚ ૚ ૛  ` F 0HWRGHVXEVWLWXVL [\  L [±\  LL  [±\ ⇔±\ ±[⇔\ ±[ [\  ⇔[\    ⇔[ ±[   •  • • • ૚ ૚ ૛  (3 , 0) (0 , – 1) ( ૚ ૛ , 0) •(0 , 4) $OWHUQDWLI $OWHUQDWLI -DZDEDQ 32 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϯϯHIDUP HEMAT    ⇔[±[ ⇔[±    ⇔[± ⇔[     ⇔[  ૚૞ ૚૙ ൌ ૚ ૚ ૛ \ ±[ ⇔ \ ± ૚ ૚ ૛ ሻ   ⇔ \ ±    ⇔\  -DGLKLPSXQDQSHQ\HOHVDLDQQ\D ^ ૚ ૚ ૛  ` • 'LVNXVLNDQGHQJDQWHPDQ±WHPDQ$QGDGDULNHWLJDPHWRGHWHUVHEXW DSDNDKDGDPHWRGH\DQJ$QGDDQJJDSSDOLQJPXGDK" • %DJDLPDQDKLPSXQDQSHQ\HOHVDLDQQ\DELODSDGDPHWRGHJUDILNJDULV GDULNHGXDSHUVDPDDQWHUVHEXWVHMDMDU" • %DJDLPDQDKLPSXQDQSHQ\HOHVDLDQQ\DELODSDGDPHWRGHJUDILNJDULV GDULNHGXDSHUVDPDDQWHUVHEXWEHULPSLW" F 0DVDODK\DQJ7HUNDLW63/'9 0DVDODKGDODPNHKLGXSDQVHKDUL±KDUL\DQJWHUNDLWGHQJDQ63/'9FXNXS EDQ\DN \DLWX VHWLDS PDVDODK \DQJ GDSDW PHPEHQWXN GXD SHUVDPDDQ GHQJDQGXDYDULDEHO0LVDOQ\DVHSHUWLNLVDKEHULNXWLQL 6HWLDS KDUL VD\D NH VHNRODK QDLN DQJNXWDQ NRWD VHGDQJNDQ NDNDN NH VHNRODK QDLN EXV NRWD6HWLDS KDUL LEX ELDVDPHPEHULXDQJNHSDGDVD\DGDQ NDNDN XQWXN WUDQVSRUW NH VHNRODK SXODQJSHUJLVHEHVDU5S'DODP VHPLQJJXKDULPDVXNVHNRODKNDNDN NH VHNRODK KDQ\D  KDUL NDUHQD DGD NHJLDWDQ ³:LVDWD -DNDUWD´ 8DQJ WUDQVSRUW NH VHNRODK \DQJGLNHOXDUNDQ LEX GDODP VHPLQJJX WHUVHEXW VHEHVDU 5S 7HQWXNDQ RQJNRV WUDQVSRUW NH VHNRODK \DQJ GLKHPDW LEX VHODPD NDNDN³:LVDWD-DNDUWD´" 3HQ\HOHVDLDQffl 0LVDOffXDQJWUDQVSRUWVD\DSHUKDUL D   XDQJWUDQVSRUWNDNDNSHUKDUL E 63/'9GDULFHULWDWHUVHEXWff DE        DE ffi .DUHQD \DQJ GLWDQ\DNDQ RQJNRV WUDQVSRUW NH VHNRODK \DQJ GLKHPDW LEX VHODPDNDNDN³:LVDWD.H-DNDUWD´PDND\DQJDNDQGLFDULDGDODKQLODL³E´ Ayo Diskusikan 'ĂŵďĂƌϬϬ͗ƵƐ<ŽƚĂĚĂŶŶŐŬŽƚ ^ƵŵďĞƌ͗ŚƚƚƉƐ͗ͬͬǁǁǁ͘ŵĞƌĚĞŬĂ͘ĐŽŵͬũĂŬĂƌƚĂ Hidup Hemat 33


,ĂůĂŵĂŶϯϰHIDUP HEMAT  8QWXNLWXDNDQGLHOLPLQDVLQLODLµD´Q\D DE  [ DE  DE ffi [ DE ffi±     E ⇔ E        6HODPDKDUL [  -DGLLEXPHQJKHPDW5S 'DODP UDQJND PHQJKHPDW SHQJHOXDUDQ VDDW %XGL DNDQ PHPEHOL EXNX WXOLV GDQ EROSRLQ PHQJDPDWL SHPEHOLDQ GL GXD WRNRDODWWXOLV\DLWXWRNR³0XUDK´GDQWRNR ³/DULV´ +DVLO SHQJDPDWDQ GL WRNR ³0XUDK´$QGLPHPEHOL  EXNXWXOLV GDQ EROSLQVHKDUJD5SVHGDQJNDQ %HQL PHPEHOL VHEXDK EXNX GDQ VHEXDK EROSRLQKDUXVPHPED\DU5S +DVLO SHQJDPDWDQ GL WRNR ³/DULV´ &LWUD PHPEHOL  EXNX GDQ VHEXDK EROSRLQ VHKDUJD 5Sfl VHGDQJNDQ 'LQDU PHPEHOL VHEXDK EXNX GDQ VHEXDK ERSRLQ KDUXVPHPED\DU 5S0HUN GDQ NXDOLWDV EXNX GDQ EROSRLQ \DQJ GLDPDWL %XGL GDQ GLEHOL WHPDQ  WHPDQQ\D GL NHGXD WRNR WHUVHEXWDGDODKVDPDGDQVHVXDLGHQJDQ\DQJELDVDGLSDNDLQ\D6HODPD  VHPHVWHU %XGL PHPHUOXNDQ  EXNX GDQ  EROSRLQ EHUDSD XDQJ \DQJ GLSHUOXNDQXQWXNPHPEHOLNHSHUOXDQWHUVHEXWVHKHPDW±KHPDWQ\D" 3DGD VRDO LQL DGD  63/'9 \DLWX \DQJ WHUMDGL GL WRNR ³/DULV´ GDQ WRNR ³0XUDK´ 63/'9\DQJWHUMDGLGLWRNR³0XUDK´ 0LVDOKDUJDEXNX DGDQKDUJDEROSRLQ E DE  DE ⇔D ±E 'HQJDQPHWRGHVXEVWLWXVLPDNDffl DE  ⇔ ±E E    ⇔±EE    ⇔±±EE ±   ⇔±E ±⇔E  D ±E ⇔D ±⇔D  -DGLGLWRNR³0XUDK´KDUJDEXNX D 5SGDQ KDUJDEROSRLQ E 5S $OWHUQDWLI $OWHUQDWLI -DZDEDQ 0DVDODKF 'ĂŵďĂƌϬϬ͗ƵŬƵdƵůŝƐ ^ƵŵďĞƌ͗ŚƚƚƉƐ͗ͬͬďĞůĂŶũĂďŚŝŶĞŬĂ͘ŝĚͬďĞƐƚƐĞůůĞƌƐ 34 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϯϱHIDUP HEMAT  63/'9\DQJWHUMDGLGLWRNR³/DULV´ 0LVDOKDUJDEXNX FGDQKDUJDEROSRLQ G  FG   FG  'HQJDQPHWRGHHOLPLQDVLPDNDff FG    FG  ± F  ⇔F   FG  ⇔ G  ⇔G  -DGLGLWRNR³/DULV´KDUJDEXNX F 5SGDQ KDUJDEROSRLQ G 5S .HVLPSXODQKDUJD\DQJOHELKPXUDKff ƒ KDUJDEXNX\DQJOHELKPXUDKGLWRNR³/DULV´\DLWX5S ƒ KDUJDEROSRLQ\DQJOHELKPXUDKGLWRNR³0XUDK´\DLWX5S 6HODPDVHPHVWHU%XGLPHPHUOXNDQEXNXGDQEROSRLQ -DGLGLSHUOXNDQXDQJ [5S[5S     5Sfl5S     5Sffi 3HUKDWLNDQ DOWHUQDWLYH SHQ\HOHVDLDQ 0DVDODK F WHUVHEXW +DUXVNDK GLVHOHVDLNDQGHQJDQPHWRGHVXEVWLWXVLGDQHOLPLQDVL"0XQJNLQNDKGHQJDQ PHWRGHODLQDWDXKDQ\DPHQJJXQDNDQVHEXDKPHWRGHVDMD" 3HQXJDVDQ 3DGDNHJLDWDQ8QLW³63/'9´PHOLSXWLEHEHUDSDNDMLDQPDWHUL\DLWXffl D 7XMXDQ 3DGDSHPEHODMDUDQLQLPHPLOLNLWXMXDQSHQXJDVDQDJDUSHVHUWDGLGLNff • PHPDKDPLSHQJHUWLDQ63/'9 • WHUDPSLOPHQ\HOHVDLNDQ63/'9GDQ • WHUDPSLOPHQ\HOHVDLNDQPDVDODKWHUNDLW63/'9 E 0HGLD$ODW%DKDQGDQ6XPEHU%HODMDU/DLQQ\D $ODWGDQ%DKDQ\DQJGLJXQDNDQDODWWXOLVEXNXEHUSHWDNGDQEXNXWXJDV F /DQJNDK/DQJNDK.HJLDWDQ7XMXDQSHPEHODMDUDQSHVHUWDGLGLNGDSDWffl Ayo Diskusikan Hidup Hemat 35


,ĂůĂŵĂŶϯϲHIDUP HEMAT  .HJLDWDQ 3HPEHODMDUDQ  SHQJHUWLDQ 63/'9 FDUD PHQ\HOHVDLNDQ 63/'9GDQSHQ\HOHVDLDQPDVDODKWHUNDLW63/'9 .HJLDWDQ3HPEHODMDUDQDffl3HQJHUWLDQ63/'9 %XDWODK VHEXDK FHULWD GDODP NHKLGXSDQ VHKDULKDUL VHGHPLNLDQ KLQJJD FHULWD WHUVHEXW ELOD GLQ\DWDNDQ GDODP PRGHO PDWHPDWLND DNDQ PHQMDGL ³6LVWHP3HUVDPDDQ/LQHDU'HQJDQ'XD9DULDEHO´ .HJLDWDQ3HPEHODMDUDQEffl&DUDPHQ\HOHVDLNDQ63/'9   3HUKDWLNDQ63/'9EHULNXW 6HOHVDLNDQGHQJDQPHWRGHHOLPLQDVL   3HUKDWLNDQ63/'9EHULNXW 6HOHVDLNDQGHQJDQPHWRGHVXEVWLWXVL   3HUKDWLNDQ63/'9EHULNXW 6HOHVDLNDQGHQJDQPHWRGHJUDILN  .HJLDWDQ3HPEHODMDUDQFffl3HQ\HOHVDLDQPDVDODKWHUNDLW63/'9 $QQDPHPEHOL  NJ GXNX GDQ  NJ VDODN VHKDUJD 5S VHGDQJNDQ %XGLPHPEHOLNJGXNXGDQNJVDODN\DQJVDPDVHKDUJD5S D 1\DWDNDQFHULWDGLDWDVGDODP63/'9 E 7HQWXNDQKDUJDSHUNJEXDKWHUVHEXWGHQJDQVHNXUDQJ±NXUDQJQ\D FDUD PHWRGHJUDILNHOLPLQDVLDWDXVXEVWLWXVL  6RDO/DWLKDQ7XJDV   1\DWDNDQFHULWDEHULNXWGDODP63/'9 D  8DQJVDNXNDNDN5SOHELKEDQ\DNGDULXDQJVDNXDGLNWLDS KDULGDQ 6HODPDKDULLEXKDUXVPHQ\LDSNDQXDQJ5SXQWXNXDQJ VDNXNDNDNGDQDGLN E  8DQJ EHODQMD ,EX XQWXN PDNDQ WLDS EXODQQ\D VHEHVDU VHWHQJDK GDULJDMLD\DKGDQ .HJLDWDQD .HJLDWDQF [±\  [\  [±\  [\  [±\  [\ ± .HJLDWDQE 36 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϯϳHIDUP HEMAT  %LOD XDQJ EHODQMD LEX GLWDPEDK 5S VDPD GHQJDQWLJD SHUHPSDWJDMLD\DK F  +DUJDWLDSNLORJUDPGDJLQJVDSLLPSRU5SOHELKPXUDKGDUL VDSLORNDOGDQ +DUJD  NLODJUDP GDJLQJ VDSL LPSRU VDPD GHQJDQ KDUJD  NLORJUDPGDJLQJVDSLORNDO   3HUKDWLNDQ63/'9EHULNXW 6HOHVDLNDQ 63/'9 WHUVHEXW GHQJDQ  FDUD PHWRGH HOLPLQDVL PHWRGH VXEVWLWXVLGDQPHWRGHJUDILN   6HOHVDLNDQ 63/'9 EHULNXW VHNXUDQJ ± NXUDQJQ\D GHQJDQ  FDUD PHWRGHHOLPLQDVLPHWRGHVXEVWLWXVLDWDXPHWRGHJUDILN    3DUGL PHPEHOL  NHPHMD GDQ  FHODQD SHQGHN VHKDUJD 5Sffi VHGDQJNDQ %DPEDQJ PHPEHOL  NHPHMD GDQ  FHODQD SHQGHN VHSHUWL \DQJ GLEHOL 3DUGL SDGD WRNR \DQJ VDPD VHKDUJD 5S %HUDSD VHOLVLKKDUJDNHPHMDGDQFHODQDSHQGHNSHUSRWRQJQ\D"   7HQWXNDQ QLODL ³S´ GDQ ³T´ VHKLQJJD VLVWHP SHUVDPDDQ OLQHDU GXD YDULDEHOEHULNXWSHQ\HOHVDLDQQ\D     .HOLOLQJ VHEXDK ODSDQJDQ VHSDN EROD DGDODK  PHWHU VHGDQJNDQ VHOLVLK SDQMDQJ GDQ OHEDU ODSDQJDQ PHWHU 7HQWXNDQ OXDV ODSDQJDQ VHSDNERODWHUVHEXW   'DODP UDQJND PHQJKHPDW SHQJHOXDUDQ VDDW ,EX DNDQ PHPEHOL D\DP GDQ LWLN PHQJDPDWL SHPEHOLDQ GL GXD RUDQJ SHGDJDQJ \DLWX 3DN 8GLQ GDQ 3DN 0DPDQ +DVLO SHQJDPDWDQ GL WHPSDW 3DN 8GLQ  %X $QL PHPEHOLVHHNRUD\DPGDQHNRULWLNVHKDUJD5SffiVHGDQJNDQ%X %HQLPHPEHOLHNRUD\DPGDQVHHNRULWLNKDUXVPHPED\DU5Sffi +DVLO SHQJDPDWDQ GL WHPSDW 3DN 0DPDQ %X 1XQLN PHPEHOL  HNRU D\DPGDQVHHNRULWLNVHKDUJD5SVHGDQJNDQ%X'LQDUPHPEHOL VHHNRU D\DP GDQ  HNRU LWLN KDUXVPHPED\DU5S+DUJDSHU HNRU LWLN PDXSXQ D\DP \DQJ  GLEHOL WHPDQ ± WHPDQ  LEX GL PDVLQJ ± PDVLQJ NHGXD SHGDJDQJ WHUVHEXW DGDODK  VDPD ,EX LQJLQ PHPEHOL  HNRUD\DPGDQHNRULWLNEHUDSDXDQJ\DQJGLSHUOXNDQXQWXNPHPEHOL NHSHUOXDQWHUVHEXWVHKHPDW±KHPDWQ\D" fl  %DSDN%XGLPHPLOLNL KDODPDQ UXPDK VHOXDV P EHUKXEXQJ UXPDK 3DN %XGL EHUGHNDWDQ GHQJDQ SDVDU PDND GLPDQIDDWNDQ XQWXN SDUNLU XPXP 3DGD VXDWX KDUL WHUGDSDW  NHQGDUDDQ \DQJ WHUGLUL PRELO GDQ PRWRU$UHD\DQJGLEXWXKNDQXQWXNSDUNLUPRELOPVHGDQJNDQXQWXN PRWRU  P %LOD XDQJ SDUNLU PRELO 5S GDQ PRWRU 5S [±\ fl [\  [±\  [\  S[T\  S[\ ± Hidup Hemat 37


,ĂůĂŵĂŶϯϴHIDUP HEMAT  Modul 2 EHUDSDVHEDQ\DN±EDQ\DNQ\DXDQJ\DQJGLWHULPD3DN%XGLGDULWHPSDW SDUNLUWHUVHEXW" E. Rangkuman ƒ *DPEDU*UDILN)XQJVLGDODP%LGDQJ.DUWHVLXV *DPEDUIXQJVL\ffl[→[GDODPELGDQJNDUWHVLXV .LWDEXDWWDEHOGHQJDQGDHUDKDVDO^±±±` [ Domain ± ± ±     [ ± ± ±             \ I [  range ±                :                 %LODDQJJRWDGDHUDKDVDOEHUXSDELODQJDQEXODWVHSHUWLSDGDWDEHOPDND JDPEDUIXQJVLWHUVHEXWEHUXSDWLWLN±WLWLN ELUX ELODGLQ\DWDNDQVHEDJDL KLPSXQDQGLWXOLV^ [\ |\ [[\∈%`1DPXQELODGDHUDKDVDOELODQJDQ UHDOVHKLQJJDGRPDLQ^[|±”[”[∈5`PDNDJDPEDUQ\DEHUXSD JDULVFRNODWDWDXGDSDWGLWXOLV^ [\ |\ [[\∈5` ƒ 3HQJHUWLDQSHUVDPDDQJDULVOXUXV %LOD VHEXDK IXQJVL I GLJDPEDU GDODP ELGDQJ NDUWHVLXV GHQJDQ \  I [  EHUXSD JDULV OXUXVPDND UXPXVIXQJVLWHUVHEXWPHUXSDNDQ SHUVDPDDQ JDULVOXUXV 3HQXOLVDQSHUVDPDDQJDULVOXUXVDGDPRGHO\DLWXff                       [ \ I [  • • • • • • • A B 38 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϯϵHIDUP HEMAT  9 SHUVDPDDQJDULV\DQJGLQ\DWDNDQVHFDUDexplisit\ P[F 9 SHUVDPDDQJDULV\DQJGLQ\DWDNDQVHFDUDimplisit\DLWXD[E\F  3HUVDPDDQJDULV\ P[F &RQWRKff *DPEDUODKSDGDELGDQJNRRUGLQDWNDUWHVLXV\ ଵ ଶ [ 7DEHOXQWXNJDULV\ ଵ ଶ [ [ domain ± ± ±     ଵ ଶ [ ± ± ±             \ I [  range                 :                  3HUVDPDDQJDULVD[E\F  3HUKDWLNDQJDPEDUGLDWDVJDULV\ ଵ ଶ [SDGDNHGXDJDULVLWXPDVLQJ ±PDVLQJPHPLOLNLWLWLNLVWLPHZD\DLWXWLWLN$GDQ%SDGDJDULV\ [ 3 GDQ 4  SDGD JDULV \  ଵ ଶ   [   .HLVWLPHZDDQ WLWLN WHUVHEXW DGDODK PDVLQJ±PDVLQJWLWLNEHUDGDGLVXPEXNRRUGLQDW • 6HWLDSWLWLN [\ SDGDVXPEX<PDND[ GDQVHWLDSWLWLN [\  SDGDVXPEX;PDND\  • 0HODOXLGXDWLWLNWHUWHQWXKDQ\DGDSDWGLEXDWVHEXDKJDULVOXUXV &RQWRK *DPEDUODKJDULVGHQJDQSHUVDPDDQ[\  7LWLNSRWRQJGHQJDQVXPEX;PDND\                        [ \ I [  • • • • • • • P Q Hidup Hemat 39


,ĂůĂŵĂŶϮHIDUP HEMAT  [  ⇔[ ⇔[± ±⇔[ ± ⇔ [ ±MDGLJDULVWHUVHEXWPHODOXL ±  7LWLNSRWRQJGHQJDQVXPEX<PDND[  \  ⇔\ ⇔\± ±⇔\ ± ⇔ \ ±MDGLJDULVWHUVHEXWPHODOXL ±  0DNDJDULV[\ PHODOXL ± GDQ ±   Y    X  ƒ 3RVLVLWLWLNWHUKDGDSJDULV 3RVLVLWLWLN7 [\ WHUKDGDSJDULV\ P[FGDSDWGLNHWDKXLGHQJDQFDUD PHQVWXEVWLWXVL [\  NH SHUVDPDDQ JDULV%LOD KXEXQJDQ SHUQ\DWDDQQ\D VDPD GHQJDQ  PDND WLWLN WHUVHEXW EHUDGD SDGD JDULV %LOD KXEXQJDQ SHUQ\DWDDQQ\D  ³OHELK GDUL´ !  PDND WLWLN WHUVHEXW EHUDGD GL DWDV JDULV %LODKXEXQJDQSHUQ\DWDDQQ\D³NXUDQJGDUL´ fi PDNDWLWLNWHUVHEXWEHUDGD GLEDZDKJDULV • 3HUVDPDDQJDULV\DQJPHODOXLWLWLNWHUWHQWXGHQJDQJUDGLHQ³P´ 3HUVDPDDQJDULV\DQJPHODOXL$ [\ GDQJUDGLHQ P \±\ P [±[  &RQWRKff 7HQWXNDQSHUVDPDDQJDULV\DQJPHODOXL% ± GHQJDQJUDGLHQ -DZDEffl \±\ P [±[ ⇔\±  [± ± ⇔\±  [ ⇔\± [fl ƒ 3HUVDPDDQJDULVPHODOXLGXDWLWLN$ [\ GDQ% [\  *DULVWHUVHEXWPHODOXL$ [\ GDQ% [\ PDNDP$% ܡି૛ܡ૚ ૚ܠି૛ܠ ૚ܡିܡ ૚ܡି૛ܡ ૚ܠିܠ ൌ ૚ܠି૛ܠ  &RQWRKff 7HQWXNDQSHUVDPDDQJDULV\DQJPHODOXL$ ± GDQ% ±±  -DZDEffl ૚ܡെܡ ૚ܡ െ૛ ܡ ૚ܠെܠ ൌ ૚ܠ െ૛ ܠ ± ± • •  ±   ±  40 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϰϬHIDUP HEMAT  ૚ିܡ ⇔ ି૜ି૚ ൌ ܠିሺି૛ሻ ିૠିሺି૛ሻ⇔ ܡ૚ି ି૜ି૚ ൌ ܠା૛ ିૠା૛ ⇔ ૚ିܡ ି૝ ൌ ܠା૛ ି૞ ⇔ ૚ିܡ ૝ ൌ ܠା૞ ૞ ⇔ \±   [  ⇔\± [fl ⇔[±\  ƒ *UDGLHQJDULVVHMDMDU %LODJDULVJVHMDMDUGHQJDQJDULVOPDNDJUDGLHQNHGXDJDULVWHUVHEXWVDPD DWDXJDULVglPDNDPg Pl ƒ *UDGLHQJDULVWHJDNOXUXV 'XDJDULV VDOLQJWHJDNOXUXVPDNDKDVLOSHUNDOLDQ JUDGLHQQ\DDGDODK ± +DOWHUVHEXWGDSDWGLWXOLVff%LODJDULVg ⊥ l,PDNDPgPl ± 63/'9 ƒ 3HUVDPDDQOLQHDU 3HUVDPDDQOLQHDUVDWXYDULDEHOOLQHDUGLVLQLDUWLQ\DSDQJNDWWHUWLQJJLGDUL YDULDEHOQ\DDGDODKVDWXGDQKDQ\DWHUGDSDWVDWXYDULDEHO &RQWRKff D YDULDEHOQ\D³D´GDQ³DSDQJNDW´   ±[ [YDULDEHOQ\D³[´GDQ³[SDQJNDW´ %XNDQFRQWRKffl D NDUHQDYDULDEHO³D´SDQJNDWGXD    D±E NDUHQDDGDYDULDEHO\DLWX³D´GDQ³E´ 3HUVDPDDQ OLQHDU GXD YDULDEHO \DLWX VHEXDK SHUVDPDDQ \DQJ PHPLOLNL GXDYDULDEHO\DQJPDVLQJ±PDVLQJEHUSDQJNDWVDWX &RQWRKffl[\ YDULDEHOffl³[´GDQ³\´PDVLQJ±PDVLQJSDQJNDW   D±E YDULDEHOffl³D´GDQ³E´PDVLQJ±PDVLQJSDQJNDW %XNDQFRQWRKffl [\ NDUHQDYDULDEHO³[´SDQJNDWGXD    D±EF ffiNDUHQDDGDYDULDEHO\DLWXDEGDQF ƒ 3HQJHUWLDQ6LVWHP3HUVDPDDQ/LQHDU'XD9DULDEHO %LODWHUGDSDWGXDSHUVDPDDQOLQHDUGXDYDULDEHOGLPDQDSHUVDPDDQ\DQJ VDWXWHUNDLWGHQJDQSHUVDPDDQ\DQJODLQ0DNDDNDQWHUEHQWXNVLVWHP SHUVDPDDQOLQHDUGXDYDULDEHO DE  D±E  ƒ 3HQ\HOHVDLDQ6LVWHP3HUVDPDDQ/LQHDU'XD9DULDEHO 9 0HWRGH HOLPLQDVL \DLWX GHQJDQ FDUD PHQJHOLPLQLU DWDX ³PHQJKLODQJNDQ´VDODKVDWXYDULDEHO 7HQWXNDQSHQ\HOHVDLDQQ\DGHQJDQPHWRGHHOLPLQDVL [\  \ [± [\  ⇔[\ GLNDOL [\  \ [± ⇔±[\ ±GLNDOL ±[\ ±        ± NXUDQJNDQ        [          ⇔[  \ [±⇔\ ± ± ⇔\  -DGLKLPSXQDQSHQ\HOHVDLDQQ\D ^  ` Hidup Hemat 41


,ĂůĂŵĂŶϰϭHIDUP HEMAT  9 0HWRGH VXEVWLWXVL \DLWX GHQJDQ FDUD PHQVXEVWLWXVL DWDX ³PHQJJDQWL´VDODKVDWXYDULDEHO 7HQWXNDQSHQ\HOHVDLDQQ\DGHQJDQPHWRGHHOLPLQDVLVXEVWLWXVLGDQ JUDILN [\  \ [± [\  L  \ [± LL  1LODL\SDGDSHUVDPDDQ LL disubstitusikanDWDXGLJDQWLNDQNH SHUVDPDDQ L VHKLQJJDff [\  ⇔[ [±      ⇔[[±     ⇔[± ⇔[ ⇔[  \ [±⇔\ ± ±   ⇔\  -DGLKLPSXQDQSHQ\HOHVDLDQQ\D ^  ` 9 0HWRGHJUDILN\DLWXGHQJDQFDUDPHQJJDPEDUPDVLQJ±PDVLQJ SHUVDPDDQ GDQ PHQHQWXNDQ WLWLN SRWRQJ JUDILN SHUVDPDDQ WHUVHEXW 7HQWXNDQSHQ\HOHVDLDQQ\DGHQJDQPHWRGHJUDILN [\   \ [± .HGXD SHUVDPDDQ WHUVHEXW ELOD GLJDPEDU EHUXSD JDULV OXUXV +LPSXQDQSHQ\HOHVDLDQQ\DDGDODKWLWLNSRWRQJNHGXDJDULVWHUVHEXW 3HUVDPDDQJDULV L [\ PHODOXL  GDQ    3HUVDPDDQJDULV LL \ [±PHODOXL ± GHQJDQP   Y    X  7LWLNSRWRQJQ\DDGDODK3   -DGLKLPSXQDQSHQ\HOHVDLDQQ\D ^  `     ± P ; 42 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


,ĂůĂŵĂŶϰϮHIDUP HEMAT  Modul 2 F. Saran Referensi 8QWXNPHQDPEDKZDZDVDQGDODPSHPDKDPDQWHUNDLW0RGXO\DQJPHOLSXWL PDWHUL persamaan garis lurus dan sistem persamaan linear dua variabel. PDND GLKDUDSNDQ PHQFDUL VXPEHU ODLQ DWDX UHIHUHQVL 6DUDQ UHIHUHQVL XQWXN PHQGXNXQJSHQDPEDKDQZDZDVDQWHUVHEXWDQWDUDODLQVHEDJDLEHULNXWffl  -XGXO%XNXffl³(QVLNORSHGLD0DWHPDWLND7HUDSDQ´.DU\D6XH7KRPVKRQ GDQ,DQ)RUWVWHUGHQJDQMXGXOWHPDWHUMHPDKDQffl D 0DWHPDWLNDGDODP0DV\DUDNDW E 0DWHPDWLNDGDODP2ODKUDJD F 0DWHPDWLNDGDODP/LQJNXQJDQ G 0DWHPDWLNDGDODP7HPSDW.HUMD H 0DWHPDWLNDGDODP0DNDQDQ I 0DWHPDWLNDGDODP5DQFDQJ%DQJXQ J 0DWHPDWLNDGDODP7HOHYLVL K 0DWHPDWLNDGDODP6DLQV L 0DWHPDWLNDGDODP7HNQRORJL M 0DWHPDWLNDGDODP3HUMDODQDQ N 0DWHPDWLNDGDODP5XPDK O 0DWHPDWLNDGDODP7XEXK  -XGXO%XNXffl³7LQJNDWNDQ.HPDPSXDQ2WDN$QGD Improve Your Brain Power ´.DU\D-DFNLH*XWKULHGDQ7LP3UHVWRQ  -XGXO%XNXffl³5HIHUHQVL0DWHPDWLNDGDODP.HKLGXSDQ0DQXVLD´.DU\D'U :DK\XGLQGDQ'UV6XGUDMDW03G  -XGXO%XNXffl³0HQ\HODPDWNDQ/LQJNXQJDQ+LGXS´.DU\D$GULDQ5 1XJUDKD  6XPEHUPHGLDLQWHUQHW pencarian dengan kata kuncifflpersamaan garis lurus dan sistem persamaan linear dua variabel.SHQHUDSDQQ\DGDODP NHKLGXSDQVHKDULKDUL  Hidup Hemat 43


,ĂůĂŵĂŶϰϯHIDUP HEMAT  Modul 2 G. Penilaian Akhir Modul 2 3LOLKODKMDZDEDQ\DQJ$QGDDQJJDSEHQDUGHQJDQFDUDPHPEHUL WDQGDVLODQJSDGDKXUXI$%&DWDX' LWHP   3HUKDWLNDQKLPSXQDQEHULNXW L  ^ [\ |\ ±[[\∈5` LL  ^ [\ |[±\ [\∈5` LLL  ^ [\ |\ [\∈5` LY  ^ [\ |\ [[\∈5` +LPSXQDQWHUVHEXWELODGLJDPEDUEHUXSDJDULVOXUXVkecuali« $ L  % LL  & LLL  ' LY   3HUKDWLNDQSHUQ\DWDDQEHULNXWff L  JUDGLHQDGDODKNRPSRQHQ\GLEDQGLQJNRPSRQHQ[VXDWXJDULV LL  JUDGLHQDGDODKNRPSRQHQ[GLEDQGLQJNRPSRQHQ\VXDWXJDULV LLL  JUDGLHQDGDODKNRPSRQHQ\GLNDOLNRPSRQHQ[VXDWXJDULV LY  JUDGLHQDGDODKNRPSRQHQ[GLNXUDQJNRPSRQHQ\VXDWXJDULV 3HUQ\DWDDQGLDWDV\DQJEHQDUDGDODK« $ L  % LL  & LLL  ' LY   *UDGLHQJDULVGHQJDQSHUVDPDDQ\ ±[DGDODK« $  %  & ± ' ±  *UDGLHQJDULVGHQJDQSHUVDPDDQ[ ±DGDODK« $  %  & ± ' WDNWHUGLILQLVLNDQ 44 MatemaƟ ka Paket B Setara SMP/MTs Kelas VIII Modul Tema 7


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