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Archives, nationales du Canada Laa imagas suivantaa ont itA raprodulttos avac la plus grand soin. compta tanu da la condition at da la nattat* da l'axamplaira film*, at «n conformit* avac laa condltiona du contrat da fllmaga. Laa axamplairaa originaux dont la couvartura an papiar ast ImprimAa aont filmAa an commandant par la pramiar plat at an tarmlnant soit par la darnlAra paga qui comporta una amprainta d'imprassicn ou d'illustration. aoit par la sacond plat, salon la cas. Toua las autras axampiairas originaux sont filmAs 4n commandant par la pramlAra paga qui comporto uno amprainta d'Smprassion ou d'illustration ot an tarmlnant par la darhiira paga qui comporto uno taila amprainta. Un das syr. bolas suivants apparaltra sur la damiAra imaga da chaqua mlcroflcha, salon la caa: la symbola -^ signifia "A SUIVRE '. la symbols ▼ signifia "FIN ". Laa cartaa, planchaa, tableaux, ate. peuvent Atre filmfo i das taux da reduction diff«rents. Lorsqua la docLmant ast trop grand pour Atra raproduit un un saul clichA, il ast film* i partir da I'angla supAriaur gaucha, da gaucha i droita, at da haut an baa, mn prenant la nombra d'Imagas nAcassaira. Las diagrammas suivants illustrant la mithodo. 1 2 3 1 2 3 4 5 6 MICROCOPY RESOLUTION TEST CHART (ANSI and ISO TEST CHART No. 2) i.O IJ 2.8 843 1^ ■ 4.0 1.4 [ 2j_ 2.2 ZO 1.8 1.6 ^ /APPLIED irvUBE Inc i6?3 East Main Street ■h-ster. New York U609 USA 6; 492 - 0300 - Phone 'i) -!88 - 5989 - Fax ;y ^^ -^^ ^ SYNOPSIS. TIME TAULE, ANU Coiiri5P of 3nf(truftion IN BRADFORD PUBLIC SCHOOLS. FIRST SCHOOL ERECTED, 1824. '^JiJV BRANTFORD : PRINTED BY OLIVER & HUMPHRIES, "BRANTFOED HERALD " OFFICE. 1857. K\ fl>-«5\)-^^ e .^\<-.^' t^r, ^ to SYNOPSIS, TIME TABLE, AND CiuiL^r of Siurtriirtioii IN BRANIFORD POBLIC SCHOOLS. I-IUMT SOHOOI, KRK(;ir, I). 182 1 BRANTFORD : PRINTED BY OLIVER &, HUMPHRIES, "BRANTFORD HERALD " OFFICE. 1857. u c Sii'iivIEOfls ^ffSjLie seseoii?. 1 «5 ■». REV. P. D. MUIR, A.B. IHaater ef fl(v«mm«r Arfeoot Mb. D McLBAN, A.B. CENTRAL SOHOOI.. **"'« MR- CARLYLB. ftnnltn: MISS (OaI-Y »»»»enU« MISS FOSTKK. MISS POOLE. »imt MISS SMITH. Infant fix«t WARD SCHOOLS. MR. OOUINLOCK. mna'n Mr.R.MoLBAN. "^'^ MISS MoMATH. fiiK suhjoinod JSrnonsis \i ..i,.„ i • i^'ro u a caren./,.::' ,'■:: r ;: ^;;:;;,::::'^ '; ^^^ --pa t,.. ,.„, „,„ 1T0..TV0 it for furthor ro.cr.nro t "o ' ""'"•"■"'•'^« '•'•tuiu «n,l ""■;• ""'1 -'"« of pro..o of ,i;,./,o ^1 7. " ?'"""•'"• '^^ '■'"•• <"• •"" an. culture of your d,il,JreM',, „„„, , ",?, ' T" Tl "'"""'"'"' ""^ — wilUe found useful in various Jl"', " ""'''"' "'"' ""='> « "ftom.nt •.o'«i;^ct:d\::::iCL::„;;;:r""r' r >^"- '«p'- your chi,dre„ ..^ courno. "Mtruct.ou, a„d when desired brnuchcs wil! come iJI Of u^'c,:::^::; •:,;'::;.;;,:;;;[ j;--^ ':;'r""""' "" "-- p-'^on from that to the Text Uoolc, if hucI^^ s rnenti T"'''""" '" "'" ^^■""""■^' «"'« "if' the hc-l,. of a ..uc.tion ., tw to th T"''r '" "'" '■"'"*"'"^ ^'°""e, 3.-By this mew s you L k en Z uV' ^'*" '*-""^™"'« ♦^"' •*' «"'^'-'- occu^io:;::;" z::: '""'" "^ -"--^'«-- -^ ti. po.ition ,0.. .hi,d ""•i'e^i extent that a pupi ,;:,;;';„:' " T'' ' '^ '^"'^' '" "^ -^>- "»ke his Class. '' "'"° "*" '"'»''o "P '"s work and over- ^vitl. his Class toa lughor ' '''"'° ""»' *'''' P"P" "'°vc for^vard '■ lou will see, ninreovor wlmf <«.. .""•eg...ar a.cndan;. is iTol tl ^^T """''"^'"''^•'^^^''^^ "^"''-^ «".; disheartens the pupil, and 7:ZV7Z "'"^ v;"" '' «''""«- •.ud.rstauding bis work. AbseBc fr „ "rt ' "^ ^""""'.'^ °^ '"--^'"y "luch time lost: it is aI,o «„ n . / ' ''"""•' '" "ot merely so - much supers^'cnre Ihcrctotl ."' '*'"'■ ""•''—'.-'.; »>-k in grade, and goinj o r U." L ""''"^f ''"^ •-"^. ""til. by f„,ii4' supplied. ^ ^ °'" "'' «'^"^« g'-o""d, the omitted foundation is e.iu;;':.S Z; cLS^Js ZrV" '"^'' '"^ ^"'-"^ -' ''-''^ o' ifreater exertion to keep their bldn It sh T""'' """' '" ^^'™""^'«^ '« enough to take advantage of it " ^°"«"^""y enough and long t.";i::::tc':r^r:u::t:t^r'"'T"°- ^'- -^ '--- wen-in.rme,in.lligent,andre^:rX".::rrrur ^ " Central School. June, 1657. ^^"^^^ D. MUIR, A.B., Pb.ncpal. / V I CENTBAL SCHOOL-JUNIOR. ElVULISII. ItKAl.tN,. : Tl.inl H„oR, ArmlyticU Kxnhnnation. ''•"";X:7^ "™«""'"y "' "- ^''-t Line, 0. o,n,ai.,.l in .l.tailocl «l-F.i:i.vL ; CiiiHiiHi, Wore mid after tlie scttleuiciit. CENTBAL SCHOOL -an EnrcsLisH. 'iiurth H(M)k, Analytii'iil Kxiiiiiinatiui ItEADINii ; I' Affixes. Okammau: Analysis iiii.I KtymuUigy, (as ciintai Ortlidgriiiiliy, from iliututiou. IIINTORV. (iKNKRAi. : Egypt, Assyria, IVrsia, (Oiitliiios 1 .S.'nn-r,„K : «J1., Testament, (as c„„tai„«l l,.' V'nall'.s Hist. Questions.) G E O « R A i* II V. CoMi'ABATiVK ; Ufograiihy of tlie Land Smfaco, ( course.) ^ Hl.sToRicAL : (ireeian and Koinim PcriiKls, (Sullivan Special : Palestine and AhLi Minor, in the time of UEIVERAI. IIWPORMATIOW. ''""c^u::.."'""'-''""^ C'"^'"' i~.) Nulyeets contained in detailed I'llYsioLouY : IIooker'.s Fii-st lioolj Ol..iF.c"r Lfxsoxs : Zoology, Varty's Illustration,H, Ae. U18TORV. 0E.NKUA1. : Greece, Macedonia, Home, (Outline.s ) .SoRirriJiiK : Connection of the Old mid New Testi Aet«. A R I T II n E T I C. CiEIVERAL, IIVFORMA' CiiicLK OK Knowlki, ■ : (Tablet Lossons.) Siibjeeta l'llY8II)LO(iY : (Cuttc.j OiMKCT Lessons : Natural Phenomena, &c. Mh VI w li'n . T."' "''',',";'' • ^'"'S^'' Arithmetic.) ^ .MKNiAL : i,no.s. i'lrstl'artj Tables. WiiiTl.vo : Elementary Exercises. J)BAWi.N(j : Kectiliiiear Outlines, fShites Music : Notation of time ; Tonic sol-fa commit' jd. ARITiiuiETIC AND AL«E TiiKORETicAL : Vulgar Fractions, First Course of Al' J'UACTICAL : Vulgar and Decimal Fruetions, and their 't -Me.ntal : Eiios, Second Part. Wbitixh ; Elementary Exercises — Foster's Patent Pe ])HAWIX(!: Curvilinear Outlines ; .Slates mul hiper ; MusK' : Tonic .sol-fa read ; practice on the tonic, doiiii choi-ds (major) ; writing score on slat&s. TIME. From 1) a.m. tu 10.30 a.m. From le.4o a.m. to 1^ noon. CLASS. vsKEB vAsaEii! oi' vhb oas' MONDAY. Junior .Miclillc fSenior From 1.30 j),m. to 3 i).m. From 3 10 p.m. to 4 p.m. Junior - .Middle Henior - Junior .Middle - tSculor Junior - Middle Senior - .\rltlirnetlc, Practice, .Mental, Tlicorv. Antlinielic, I'raellce, Mejital, Theory. Algebra, .Mensiirotion. TUESDAY. W Circle of Knowledife, Writing. Circle of Knowledge, Writing, llook-keeping. Tliiril Hook, Oraniniur. Kourlh lliiuk, lirnnimnr. Filth Uook, Oraiumur. Muftii-, Drairing. Heripture History iinu v.i History ami Gcdgruphy. Anlliraelic, Pinctlie, Mental, I'lieorv Al({ebrii, I'ruetlie, Tlieon-. ■Vrillimetie, (Jeomeiry. Object I.eaaons, Wriiing. Olijcil. Le.s.vons, Wriiing. Physicjil Scionee, Writing. Aillbnietie, I Arithnietie. j -VlKul)ra, til I CliTle (iC Ki ! Circle of Kj •Music, DniH Physiology. Uidution. Physiology, Dlctiuion, Physiology, Composiiion. Heiipturc Ilistory and (Jeiigrophy. Scripture Ilistory und (icograpiiv. Oencral History and Ocography. " Chronology. ELEMENTARY AND WARD SCHOOLS. INFANT DEPAKTMKNT. First and .Soeond lie.-uiing Hook. Tahlet ItKAi.iN-,. Lksso:,s: "Cinle of Knowledge," Preparatory Course I'KTl'UE ItKADIN.i J.KSSONS : Kible Stori-!!!. •* OuJKiT Lk,sson« : Domestic and Wild Animal.1, &c. Abithmktu' : Numer.itioik and Notation to Four Figures. ~: Mkntal: Addition and Sulitraction. (SclielL) \\ iiiTiNi!, on Slates ; Figures mid Sin.-ill Letters. Dkawim;, on Slates ; Simple Forms in Straight Lines Ml'sic : Simple Jlelodies to words. JUVENILK DEPAllTMENT. Second and Third IJeadiiig Book. '''"'''plJrt"ll"""" ^^''■**"^'* • "^'''■'^'" "f Knowledge," Preiwratory PicTUiiK ItEADiNK Lessons Life of our Saviour. Manners and Customs of the .lews. - __ Ancient Cities. II..E.T Li.>,soNs : Domestic an.l Wild Animal,, aeometrieal l'i..„ Ueo.iiiapi(y : lllementary Tablet Le.s.sons. Hktuuv : ,-it„uu.-. rrom I'arley's (jeiieral History. Ahithmet ic : Nunierati.ui and Notation to Six FLmrea — -— .Mental: Sdiell throughout ; Tables of Money, AVeigl — 1 BACTICAL : Siniph; Questions on the Slate. \\ RiTi.vu, on Slates, Kigtires, Small Letters, and Capitflls '"uct"t'r' ^"^'^"'^ ""'"""« ^■'""" "" «''''«''-fr™n Mght DliAWiN(i : Simple Forms in Straight Linos and Curves Music : Sinipl, Melo.lies to Words, and T.mie sol-fa committed to luc Ccnii-se, It, Ae - - from iiioiy. -I- ' Third Hook, I l''uurlli Hook I Filth Hook, I j (u'neral Ilisl I .Music, Draw I History and C3Hl^ ENULISU. lILstory of English Language and Litoraturo (Chamber Elements of CttmcisM. Elements op Look. (Wl CtEOURAPIIV AMD IIISTOH GEofiRAPHV: Grecia Antiqua; Italia Antiqun; tho J{. Augustus ; Historico-Geograpliical Exercises, (Sulli CHRONOLoay: Ancient. BiooHAPHY, Mythology, Anthiuities. WATURAL SCIEKOES. Vegetable and Aminal Physioh,gy, (Chmnbors' Ed. Ser ) Chemistry, (Youinairs Text Book and Chart.) Geology, (De la Heche) Nat. I'hilosopliy, Johnston's Diagrams, with Practical Q.i Matli. Astivjuoiny, (B,.,.,i.!;|„^),y \ M.ATIIEMATICfl. Algebra (Colens..), Qmulratics, Ac. Geonieto-, Euclid, liook III-VL, with Exerci.ses. Plane Trigonometry. Dkawino : Persiwctive and Shading. ?«js €®umsB Bw ms'smv^'sg^^ CENTBAL SCHOOL -MIDDLE. E NO LIS II. ffixc/'"""^'' """'*' ^""'*'''''"' ^'■™ll""'^'"ll ; l!" II Y. Im-T ' '-'"""^'"^'^y "^ ""* ^""' •'^•"■*'"«-'. Ow contniiifd in dotmlfd li'AL ; (dcciaii and Ronnin PeriiHls, (Snllivair.s Ki>it(inic".) I. : lalestiiie luid Asia Minor, in the tiniu of tliu Ai.ostles. HISTORY. u. : Groccc, .Macedonia, Uonie, (Outlines.) ;UK : Connection of the Old an.l New Testiuuent, the Gosi^ls, the CtBOCiBAPHY. ''""':.;;;:i7^ *^"^"'''''^ "'■ "" "^""" "'»' "- -"""^I'l-n^. ( i wT'^;-/ •^"'''"'■:"«^' "'»' '""'I'-n. I'cTiods, (Snllivan's ICnitu.n.. ) hl'Eoi.vL : Canada and the United (States. ln"".; GEIVERAL INFORIHATIOW. LusaoNs : Nutural Phcnonieun, Ac. HISTORY Also CIIROXOI.OCiY. "'"Zo.y'^rrii/™'^"'^ '^'-"-^ ' <^ '"-i-..' An„.nea ; CHno.voioiiY ■ .Middle-agc and Umii times. PHYSICAL SCIENCE. ARITUSiETIC AND ALGEBRA. ™! V, ,^'"'«'"'/;';;"-1i""f. /irst Conr«o of Algebni, (detaile.l eo,„-se.) ptscHiPTlVE Asthonomy: (.Mattisiui's Dia-ia.iis ) Klkmet.vs of >Co(,Lo,;y : (Patterson's Dia.'mms.) Natuuai. J'im,o.soi.,iv : K.vi.erinumtal Jllnstratious „f ].-iOl, i!,,,,!, r ,„„,„ . nE,M.sTuy : Foster's Elen.ents, with K.vperin.ents "" I'llVSlOLuuv : (H.)oker.) ARITHMETIC, AI.fJEORA, & OEOIHETRY. AtOEDK.i : As eontjiined in detailed course, (Davies' Kl,.n,entarv ) ATio AND PRoroBT.oN, (detaile.l course) ; A,,,,licat s, ( V ith ) OKOMETny : Kuchd, li„ok.s I. & II., with Exerei es; Men nmti . ^^ i : Elementary Exercises— Foster's Patent Pencilled C.i.ie.s 1^! : Curvilinear Outlines ; Slates and l-ajwr ; Ohjects J onic sol-fa read ; practice on the tonic, doniinaiit and sub-dominant •ds (major) ; writing score on slates. WniTiNfi : Foster's Patent Pencilled Coi.ics Drawi.v.i : The Human Figure, (Outline ) Music: The tonic, dominant, and sub-dominant ehoiiLs, („,i„or) ■ scales keys, and signatures ; tran-spositioii ; part singing. ' ' Liabs o» vaa oBsvaAZi aemoot,. TUESDAY. WEDNESDAY. nctu-, Pniciicc, .Mciitul, Tlieorv. ra, I'rufticL', TI1V017. iietic, (Jeoiiiclry. I<(;«»oiis. Wriliiiji. Lessons, Wriiiinf. :iil Siioia-o, WritiMjr. Aiitlniietir, Praiiicc, .Menlnl, Tlicorv. Ari.limct.c, I'racliic, .Menial, ThcoiV. ■MKulira, (ieoiiictry. 'logy. Uiclutioii. logy, IJictiilion. '"Uy. Cuiiiposilioii. iro History and (ieogmiiiiv. il iliatory aud (icogrupiiy. " logy, C'irclu of Kaouk'.lgo, Writing, ("irclo of Knowledge, Writing. JliUK', Drawing. Third llooli, (inimmar, Fonrili Itook, (Jromniar. Kirtii IJook. (Jrainnmr. THURSDAY. .Vrlthinotic, J'raciicc, .Venial, Theory. .^Igobra. IViictioe, Theory. Arilhniotie, Gooniotrv. I FRIDAY. j Arithnictic, Practice, .Mental, Thi.orv Arithmclic, I'raciice, .Mental, ThcurV Ali.i.lii'.i tl, Uenerul lli.-li\-. Chronology. Third Hook, (iranimnr. I'jiurth Hook. (Jrnnimnr. Firth Hook, Grununar. Comparative (Jeogrnphy. Comparative (ieography! Cuinparalivo (ieograpliy. cm A. ]i^ 3MC .a. : ENULiSU. English Language and Literature (Chambers' Ed. Scries.) 01- Oriticikm. EuiUKNTs OF Looif. (Whately.) CEOURAPHV AWD HISTORY. If: Orecia A.itiqua; Italia Antiqua; the llomaii Empire, nnder itus; Historico-Geograplucal Exercises, (SulUvan ) IV : Ancient. , Mythology, ANiHiuiTiKs. NATURAL SCIENCES. nd Aiiiin,a Piiysioh.gy, (Chambora' Ed. Scr.) (Vcnniian's Text Hook and Chart.) »e la Heche.) ■pliy, Johnston's Diagrams, with Pmctieiil Questions uoiiiy, (Hn«-fc!os!,y.) SCJHOOIL.. I. A T I N. First Veaii : [may bo taken with the studies of the Central Sch.K.I ^t Arnolds Fust and ,Se.,nd Books, Cornelius Nepos. '~-^' aw OND \KAR : [may betaken with studies of (Vi.tril ><|, 1 w. • 1 LhiSyViii"""'" <'omi.ositioii, p. It., .V,,.,,,,, 'v,;';;,,,, FouilTlj Veah:" Arnold's Versification. Horace Cicero Sm...L.ME^TAiY YKARt Livy, Tacitus, PlaiitZ' General htudy : History of Latin Language and Literature. Jfiddle MATHEMATICS. Iciiao), Quiutratics, Ac. ;nclid, l!„„k III—Vl., with Exercises, ;oiiomctry. I'eraiicctive and Shading. « R E E H. ;'^;i^Firit's;^is,t:; ^i^rs.*"" ^"'"" ^^-'-^-^-i buiM'i.iME.NTAny Yevr ■ Tlii„.v,r i ii ^ '/;"*'-y'/-'""«»i Pl«tp„„„d, „f „j„^ „y ^,_^ Adjective, from nonn,. atoc-ftui, ,ome, y; ,e„, ed, ly; i,k, ,it 7 affix. .,h. Adjective, from verb, :afflxe,--.bie,ible Verb. fm.J Zi fJr. r f'""^ P-fl««-em, en, be, affl. »„. 1 M „ P««-^=-be. a; down, for, fore, gain, „i,b .to. M,,cll«neo„, „b,ervation, on compound, and derivati^e^^ ENGLISH-SENIOR. Tetttr""""*"' -*'">»' »'»"««■"•. d.rivati„„, Latin and (GRAMMAR. ^na^^is. Sentences simple, compound, and complex. Member, Varilr Tt^''^''^'^'^' -^>-*-. relative, and ab«,lute.' Vanet,es~of the subject, munber of the subject, direction, and i Zf"';':'' "" '"'"""*' m.™iti.u, with the ,•„„„ „f „^ the ndjochv., „f tic. .,,lvc,1,, „f tl,» v,ri, ' **"""•'';■ ''''" '""'" ""'' "" """J'"-'-^ ■ -*-!- - their ,Uie, m«; perfect pc„„a„c,..; e,„„h..ie, „„a ,,.„„„,„;,„ ^ ' 'rfet„r!f t"''"'"*' '»"»■'«""« P-I-Mo.. iwl: COMPARATIVE GEOGRAPHT-JXTXIOK. GEOGRAl'HV OF 'fHE COAST LlNfi. Distribution of Land nn.l \v ,, /-. and e„„„t4 ^ oce: e.'^!! .^'^ 1 "'" T"" ^ '""- trZtlf '" '•■-'^- — «' <'^-i„„. e«„„ „ t*romuntories, Pcnin<„ blance,, comicctioM, «par«ti„„s. ■ ' "■ 't/iu?:;:' ^°"''' *"^ '*"*> '"»"* --'«^ »*'^ &«. «,.^ C^A Co,„p.,.Uve form «,d e«e„, ; elo,«l and „,«„. COMPARATIVE OEOOBAPHY - MIDDLE OEOOItAPHT OP THE LAND SimPACE. laafic; toward tho Arctic and Atlantic y»««fe,- *.,,„ deternuncd by the flow of the river, ; d^inage of turop. A„, Africa, North America, South A.n.ric.are»r Ifflsus, lakes, and inland seas. ' "7L. ' "- ""'""'"'"' "'"'"'' "'"'"'"' ""■""«»' ""-^ ".™ntai„ •swamps, marshes, morasses, fens ";"°".'"'." "■'' "" *""• S°..~»- current,, waterfall,, estnarie, • de.„pt.on, c„nr,e, and comparative length o, the princ p^ 3 ! av,gable nver, ; river, that d^ up ; rfver, t Jdi.appear to-' habitants of the rivers. ' ,'l.,.«n,ma of, I. Lake, and inland «a,, ft«h »nd ,alt water elevauen and depth; description, ,it„atio„, and comparative .ij of the pnncpal lake, and inland ,ea, , celebrated lake. \ IN BKANTPORD PUBUC SCHOOLS. g COMPARATIVE GEOGRAPHY-SENIOR. THE OCEAN ANU THE ATMOSPHERE. nr Orea,, Tides, their causes and course; tidal chart; cc ..uara tive height ; tideless seas. Currents, constant and variable, under currents Depth.s, shallow sea.s, lagoons, sand-banks, reefs, coral reefs and islands, frozen seas, icebergs. Inhabitants of the ocean. The AtmospUere. Winds, causes, velocities, constant and variable luimcanes, whirlwinds, peculiar winds, map of the winds. Rain cause, circumstances which affect the quantity, proportion of rain' and rainy days m various countries ; rainless districts ; rain map Climate, as affected by latitude, by elevations, by local clcZ stances ; isothermal lines or cUmate map. IMtrllution of Plants and Animal. Characteristics of tropical emperate, and polar vegetation. Vegetation .as affected by'^ ude by proximity to the seas. Characteristics of tropical tl- Ma. appearance habits, and condition of the various races. Geo- graphical distribution ; general division for the world • specl «ub-divisio„ for Europe. Religions: Nature, compalti;e Tm Ws, and geographical distribution. Education : Com^arrc view ; celebrated educational institutions. Political gove nm^ and national connection. CIRCLE OF ^m^^^^^^^^;^^;^;^^^^^^ ^^^^^^^ Section I. JtlNIOR-PART I. Section II. Lesson' ' " 4". Introductory. Section III. Lesson 16 nrl ^ ''"'^ ''' P"'*' Section IV. Lesson Ss'.' .' .' .' ^r rTt Sectiou V. Lesson 33. Cj^t^mg. Section VI. Lesson 39. Z ,!^?"'"fe'«- Section VII. Lesson 43 ^ ''^*°' ""^ ^'^X- Section VIII. Lasson dl Mammalia. Section IX. Lesson 10. l"'\ Section X. Lesson 74 Jteptiles and Fishes. S«oiion X,-. Lesson 79." " I^^f ''"^ "^^-orrns. Of Plants. 10 Section XII. SucHoH XIII. iiectioji XIV. Section XV. Section XVI. Section XVII. Section XVIII Section XIX. Section XX. Section XXI, Section XXII. Section XXIII. Section XXIV, DJiTAltEO CUUKSfi OF INaiKUCTlOA MIDDLE— PART II. ^•"*»°" 91 The Earth. ^*"°" ^^^ Animal, Vegetable, and Mineral Substances. J-"^""" "0 The Air-the Heavens, ^«'"*°" 1*7 Divisions of Time. *^«««o" ^'21 Climates. ^''•««°" 133 Social Life. ^'^«'°" ''*4 Of Government. ^'^''°" 152 Of Other Nations. ^"''"''" 1^ Trade and Commerce. ^•^^^°" 166 Matter and Motion. 1^"'«°" 175 Mechanical Powers. !-««««" 183 The Senses. l-^""" 1»2 The Attributes of God. AKITHMETIC — JUNIOR Text Books for private study-Large Arithmetic, (Ir. Nat. Serie*,) Enos, mental aiithmetic, and analysis. mmeratwu and Notation, with Drrimah. Analysis and compari- son of the parts of a whole number; of the parts of a decimal ; of the parts of a Avhole nutnber and a decimal. Addition and Subtraction. Meaning and uses. The .sum the difference; the minuend, the subtrahend; canyiu^, borrowing- why we begin at the right, how to begin at the left, Si-nis of addition and subtraction ; effect of the vinculum. Analysis" men- tal addition and subtraction. Practical examples. Multiplication and Division. Meaning and uses of multiplication, summing similar quantities, change, reduction descending, square and cubic measure. The multiplier, the multipUcand, the product, factors, 3 X 4 = 4 X 3, Ac. Multiplication by 10, 100, 1000, &c. yfhy we begin at the right, how to begin at the left. Composite numbers, analysis, mental multiplication, Ac— Meaning and uses of Division, continued subtraction, equal partition, reduction ascend-' ing. Signs. Dividend, divisor, quotient. Remainder; how to divide the remainder, vulgar fractions ; how to make it a decimal ; repeaters, circulators, interminate. How to multiply a fraction, '^» IN BRANTFORD PITBHC SCHOOL*. 11 ■■J J n ,4 " '' 3 - 1' 4 = l,&c. How to divide by a. fractiim, by a rui\-.>d number. Analysis in niultiiilication iiiul division, cunceUatioi,. Abbreviations. Mental division. Tables of money, weights, anii measureB. Applications. Compound nUos. Practice, accounts, etc. Mental Arithmetic and Analysis. ARITHMETIC — MIDDLE. Text Books for private study— Large Arithmetic, (Jr. Nat. Series,) Enos, mental arithmetic and analysis, P, II. FracHom: Their meaning and use. The nunjerator, the denominator. Proper and improper fractions ; mixed numbers. To find the value of a fraction— in a lower denomination— in decimals. To express a lower value as the fraction of a higher, u decimal as a vul- gar fraction, repeaters and circulaters, reasons. Com2>arative value of fractions. The greater the numerator, the greater the fraction ; the greater the denominator, the less the fraction. Equivalent fractions; to bring a fraction to its lowest denomination, greatest common measure ; to bring fi-actions to the same denominator, multiple and sub-nmltiple, least common nniltiple. Addition and subtraction of fractions. Mental exercises. Multiplication and division of fractions ; principle.s-(l,) multiplying the denominator IS equivalent to dividing the numerator ; (2,) multiplying the nume- rator is equivalent to dividing the denominator, (Pestallozian Illustrations) ; (3,) though the value is the same, the denomination ia altered. Multii)Ucation by a fraction ; principles, (1,) | of 1 - 1 of 3 etc. ; (2,) multiplication by a i.roper fraction diminishe"s the quantity- (2,) the greater the denominator the less the product. Division by a fraction; meaning; principles-(l,) 9 ^ 1^ 9 x i; (2,) dinding by a proper fraction increases the quantity ; (3,) the greater the denominator, the greater the quotient. Multiplication and division of a fraction by a fraction ; compound fraction., (Pcstullozian ex- ercises.) Applications. Mental exercises. 12 DKTAJLKD COUBSg OK INSTRUCTION ALGEBllA-MIDDLE AND SENIOU. Toxt^Bookfor private study i„ the Senior division, Davies' Elomcn- rntrodurtion, Davies' Elementary. Alo^.alc Notation, known and unknown quantities, positive and aXvisio~' "'" ^' *^''^"' ^"'*^^^*^*^"' -^*^P"-«-' ^.«om^•afe, co-efficients, summing of monomids, numeral co-effi- cicnts; squares and other powers, roots, fractional indices, multxpUcatzon of powers and roots; logarithms, multiplication of +_aby + t of-„by ^ I, of . a by - i, of-aby-6. B..or>naU and Polynomial.; how to express the addition and subtraction of polynomi A (., + /.) _ (, ^ ,^), (a + 5) _ (. _ ,a . What .s the sign of e; how to sum polynomials. How to ex-' press the miUtiplication of polynomials, how to multiply poW nmls. How to express the square or other power of a polynomial, the root. Expansion of (a ,. .). , extraction of the square root Expansion of {a^xy- extraction of the cube root. How to express the division of polynomials, how to divide polynomials Algebraic fractions, (similar to arithmetical.) Analysis and trans- formation of algebraic expressions. Common and useful formula. Simple equations (equations of the first degree); how the degree of an equation is determined. Examples. Axioms, clearing the fractions, transposition, division, object in view. Value of t verification. Equation with two or more unknown quantities' ebmmation. Particular problems. General problems IN niiANTKoKl. rfni,IC M(;iiooi„s. 1.1 I I AIUTILMETIC AND AL()KI}J{A-8RN[()II. Knt! , Arith,nctic«I. gconiotricai ; antecodcntH, con.scquentH ; .ueu- Huro of arithmetical ratio, a - m = a ; ,neas..rc of Kcoraotricul rnUo, -= q. Ratios of ocuiality, urithmotical a~m^ o, go„- .netrical ^ .- 1. i^.tio of lessor inequality, arithnltieal "-m + r/, geometrical =■ = y < 1. R^vtio of greater inequality, arithmetical a -. d=m, geometrical ^ = ,^ > i. Comparisou • of ratios. Equal additions or subtractions destroy the ecjuality of geometrical, but not of arithmetical ratios. Equal multiplications or divisions destroy the equality of arithmetical, but not of ceo metrical ratios. ° Proportion, or equality of geometrical ratios, - = -1 = ^ ;= r or a:vt::n:b, &c. Proportion by inve Jon, by alternation, ly composition; practical advantage.-„, i, ,. ,/, antecedents; m, n, o, p, consequents ; ^- = -^= -^ = .J,^ ^atio direct, an = mb, ^'^ = nc, Ac. But aM=.hn = oc=pd, ratio inverse and a — T,or a: n::b: m, Ac. Method of determining whether a ratio is direct or inverse. Method of stating a direct ratio of stating an inverse ratio. Relation of direct and inverse ratio reciprocals; method of stating an inverse ratio without confusing the elements. Solution of questions in proportion, i{a:m::b:n then an = bm,a= -, m = !i* ' n at m ft- ^ = 'J^ • Arithmeti- cal examples in the forms a : m : -. b : x, x : m : : b : 7i (i:x::b:n,a:m::x:u. Simple propoiiion. Arithmetical examples in the form a-^b + c^d : m-hn+o+p -. -. a : m : : b :n etc. Proportionate distribution, or partnership. Arithmetical ex- amples in the form a xbx c : d : : m^n x o : p ; compound proportion. How to state the question when the consequents are in direct ratio to all the antecedents, when the consequents are in mverse ratio to aU the antecedents, when the consequents are in inverse ratio to some of the antecedents. Series, arithmetical, method .f summation, appUcations; geometrical summation. iniArnn1afi/\n ;>%fi»:4.^ ;__ 14 •PTAllED COVKHt OF fXaTRPCTICN, ETC. /'«j .-«/ .,fl. ,,«. ,f pr,.^inn , purtncrnhip. barter, alligation, I twr^, . .„p|« interest. ,««■ ..„nt, pquntiou of payna-nf,. com- «*-on. p„^H., .f loc^k, exchange. ..actical application. „t =S>ornetncuI ,e„e. ; compound intervnt. .uu.itiea. deferred a«. •Uitics, «Sii>, ' Olix A KHmphries, Prmiew, "Herald" Offlce, BrMt/ord. tlOQ, I'om-