^^inbaf ^iri3 ^na#nal ^brl "& ^alt7native ^0mat ^associa#n ^iri3 ^^ueb ^te1nical ^guidel*es 0 ^prim)y ^level & ^second)y ^level ^m)1 !bjag ^(@ guidel*es = produc6 ] @ agree#t & co-op7a#n [ all @ memb7s [ @ ^^ueb ^ma4s ^\w_ ^gr8p. ^na#nal ^brl ^produc#n \2^^nbp\) at ^1ild^vi%n, @ ^m6ia ^c?tre at ^^ncbi & @ ^brl ^unit * ^)b8r ^hill laun16 @ ^iri3 ^na#nal ^brl & ^alt7native ^0mat associa#n \2^^inbaf\) on ^may !crd !bjab. ^irel& [ficially adopt6 ^^ueb z xs brl code * ^decemb7 !bjac. ^s*ce @n ^^inbaf has be? \w_ t9)ds @ imple#ta#n [ @ ^^ueb code * ^iri3 s1ools. ^@ \w [ ^^inbaf /)t6 /rai2t af @ laun1 ] @ 0ma#n [ 4ree \w_ gr8ps; $. ^a ^^ueb /e7_ gr8p (5 ma* focus is @ develop#t [ a ^^ueb imple#ta#n /rategy 0 ^irel& $. ^an ^iri3 brl \w_ gr8p to review & update @ ^iri3 brl code * l*e ] new develop#ts * @ $w [ brl $. ^a ^ma4s \w_ gr8p review_ h9 be/ to imple#t ^^ueb ma4s$/te1nical code. ^^inbaf is @ f/ ^iri3 organisa#n 5 advises ab rules, lay8t & be/ practice 0 @ ^iri3 & ^?gli3 ^brl codes us6 * ^irel&. ^^inbaf is fully support6 by @ ^^uk ^associa#n 0 ^alt7native ^0mats \2^^ukaaf\) & al#g ] ^^ukaaf is a memb7 [ @ ^*t7na#nal ^c8ncil on ^?gli3 ^brl \2^^iceb\). ^bo4 organisa#ns h be? v help#l to $@ new ^iri3 c%t7\p. ** ** ** ^8r ^mis%n: ^^inbaf w /rive to advise & help any\o 5o utilises brl, l)ge pr*t & o@r alt7native 0mats & has an *t7e/ * same, * all matt7s relat6 to @ ^iri3 & ^?gli3 brl code & 0mat /&)ds z us6 n9 & *to @ future. ** ** ** ^8r ^tasks: $. ^repres?t ^irel& at *t7na#nal level * ),s specific to alt7native 0mats $. ^adv%e ^unifi6 ^?gli3 ^brl \2^^ueb\) imple#ta#n *to ^irel& $. ^review ^iri3 brl code $. ^provide a c?tral po*t 0 ?quiries * rela#n to alt7native 0mats $. ^l9 co/ & *0m be/ practice ** ** ** ^*t7na#nal ^repres?ta#n: $. ^^inbaf is a full memb7 [ @ ^*t7na#nal ^c8ncil [ ^?gli3 ^brl \2^^iceb\), @ global gov7n_ body $. ^^inbaf 1airp7son is a memb7 [ ^^iceb ^executive $. ^^inbaf committee memb7s )e gr8p memb7s or li/ obs7v7s on all ^^iceb special purpose committees \2^code ^ma*t?%e ^committee, ^music, ^te1nology, ^rese)1 & ^^pr\) ** ** ** ^*t7na#nal ^l*ks: $. ^^uk ^associa#n 0 ^alt7native ^0mats \2^^ukaaf\), close co-op7a#n reg)d_ te1nical brl $. ^canute project \2^bri/ol ^brailli/s\) $. ^^iceb memb7 c%tries' associa#ns 0 @ bl ** ** ** ^^ueb ^ma4s ^\w_ ^gr8p ^memb7s ^1airp7son: ^d7val ^h,ly \2^1ild^vi%n\) ^doris ^coyne \2^1ild^vi%n\) ^jim ^curran \2^1ild^vi%n\) ^m)y ^hurley \2^1ild^vi%n\) ^m)ia ^m)key \2^rosm*i ^commun#y ^college\) ^m)y ^mc^nelis \2^visit_ ^t,17\) ^caitr(/iona ^nic ^2iolla ^eo2a* \2^visit_ ^t,17\) ^noma ^@mbani \2^visit_ ^t,17\) ^:tact u \4 8r website: www.inbaf.ie :::::::::::: ^:t?ts ^:t?ts ^def*i#ns-!a ^num7ic ^*dicator-!d ^grade !a ^*dicators-!d ^equals, ^plus "& ^m*us ^signs-!e ^multiplica#n$/^multiplica#n ^dot ^signs-!e ^divi%n ^sign-!f ^decimal ^po*t-!f ^less ^4an$/^grt7 ^4an-!f ^n ^equals$/^o@r ^equals ^signs-!g ^m\oy-!g ^l)ge ^numb7s-!g ^simple ^frac#ns$/^mix6 ^numb7s-!h ^g?7al ^frac#ns-!h ^1oice [ ^grade !a ^*dicators-!aj ^p7c?tage ^sign-!aj ^ratio ^sign-!aj ^brackets-!aa ^48s&s$/^hundr6s$/^t?s$/^units ^symbols- !aa ^tally ^m)ks-!ab ^l?g4, ^wei2t, ^capac#y-!ab ^\t-!ac ^date-!ac ^ord*al ^numb7s$/^roman ^num7als-!ad ^omis%n ^symbol-!ae ^omis%n ^symbol * ^equival?t ^frac#ns- !af ^:t?ts ^patt7ns$/^sequ#es-!af ^3ape ^*dicators-!af ^gr8p_ ^signs$/^*dicators-!ag ^hi2li2t6$/^emphasis6 ^numb7s-!ag ^*dex$/^p97 ^signs-!ai ^root ^sign$/^t7m*ator-!bj ^positive "& ^negative ^numb7s-!ba ^degrees$/^m*utes$/^seconds-!ba ^l*e ^\4 ^symbol-!bb ^p)allel$/^p7p?dicul) ^l*e ^signs-!bb ^\@0e ^sign-!bb ^)r9s \2^simple\)-!bb ^l#g ^expres%ns$/^rules ^:ta*_ ^(ws-!bc ^divid_ ^l#g ^ma@matical ^expres%ns-!bc ^algebra-!bd ^trigonometry-!bd ^geometry-!be ^embelli3#ts-!be ^set ^nota#n ^brackets-!bf ^set ^@ory-!bf ^prime or ^comple#t-!bg ^matrices-!bg ^calculus-!bh ^b*omial ^@orem-!bh ^comput7 ^nota#n-!bi ^calculator ^keys ^symbols-!bi ^transcrib7's ^note ^*dicators-!cj ^greek ^lrs-!cj ^ma4s ^symbols 0 ^prim)y ^classes-!cb ^def*i#ns !a ^def*i#ns ^num7ic *dicator: 0m7ly \kn z @ , 4 sets num7ic mode 0 @ foll9_ sequ#e [ symbols to *clude digits, commas, decimal po*t$/full /ops, simple frac#n l*es & dot !e l*e :t*ua#n *dicators. ^@ num7ic *dicator al acts * a simil) way to a grade !a (w *dicator except t grade !a mode is t7m*at6 by a hyph? or da3 z well z a space. ^grade !a symbol *dicator: 0m7ly ref7r6 to z @ , @ grade !a symbol *dicator sets grade !a 0 @ next symbol only & is us6 ;f symbols t h ano@r m,n_ * lit7)y brl e.g. @ <3> squ)e root symbol, @ $/<*> sub & sup7script signs. ^grade !a (w *dicator: \2two grade !a *dicators\) sets grade !a 0 @ next sequ#e [ symbols & is us6 \5 grade !a mode is requir6 on m 4an \o symbol * a sequ#e. ^x :t*ues ov7 a hyph? or da3 & is t7m*at6 by a space or a grade !a t7m*ator. ^grade !a passage *dicator: \24ree grade !a *dicators\) is us6 \5 grade !a mode is requir6 * expres%ns t *clude spaces. ^4 sets grade !a mode until \@ is a grade !a t7m*ator. ^\@ c ; a page ^def*i#ns !b br,k * @ middle [ a grade !a passage, \@ is no ne6 to /op @ passage at @ bottom [ @ page & re/)t x at @ top [ @ next page. ^grade !a passage t7m*ator: \2a grade !a *dicator foll96 by a dot !c\). ^4 does exactly 5at x says+ ^x t7m*ates grade !a mode & is plac6 at @ ?d [ a grade !a passage. ^item: an item is def*6 z a numb7, a decimal or frac#n \2simple or g?7al\), an ?clos6 squ)e root, an )r9, a 3ape, an expres%n ?clos6 * pr*t brackets or * brl gr8p_ signs. %2^^uum pp vi%) ^gr8p_ signs: tr,t ?clos6 symbols z an item. ^@y )e us6 5? \@ )e no brackets * pr*t b x is nec to ?sure t @ prec6_ brl symbol or *dicator applies to all @ symbols ?clos6 by @ brl gr8p_ *dicators r 4an j to @ symbol immly foll9_. ^note: ^4 *cludes a modifi7 5 applies to m 4an \o lr & a subscript or sup7script *dicator 5 applies to m 4an \o . %2^^rueb ^- pp !bc%) ^omis%n: * ^guidel*es 0 ^te1nical ^mat7ial, if x is prec66 & foll96 by a space, hyph? or da3. ^5? 4 happ?s, a grade !a *dicator is requir6 s t x won't ; misr,d z xs grade !b m,n_, i.e. a :trac#n or (wsign. ^4 doesn't )ise 0 lrs a, i & o ;c @y don't h a grade !b m,n_. ^@ symbol <%0> prec6es \s new brl signs 5? f/ *troduc6 & is *clud6 to avoid :fu%n ab 5 dots )e us6 * @ new signs. :::::::::::: ^te1nical ^guidel*es !d ^iri3 ^^ueb ^te1nical ^guidel*es 0 ^prim)y & ^second)y ^level ^a;revia#ns ^guidel*es 0 ^te1nical ^mat7ial ^- ^^gtm ^^ueb ^au/ralian ^tra*_ ^manual ^- ^^atm ^^iceb ^rules [ ^^ueb ^- ^^rueb ^us_ ^^ueb 0 ^ma@matics ^- ^^uum ** ** ** ^num7ic *dicator: ! \2^^gtm pp !b, ^^uum pp #v, ^^atm pp !aba, ^^rueb pp !ei\) ^4 e/abli3es num7ic mode ^@ foll9_ symbols may o:ur * num7ic mode: $. @ t? digits !j-!i $. full /op$/decimal po*t $. comma $. simple num7ic frac#n l*e $. l*e :t*ua#n *dicators $. omis%n sign ^a space or any symbol n li/6 abv t7m*ates num7ic mode. ^num7ic passage *dicator: !! ^num7ic t7m*ator: !' ** ** ** ^grade !a ^*dicators \2^^gtm pp !e, ^^uum pp iv, ^^atm pp !aah, !ada\) ^grade !a symbol *dicator: %0# ^te1nical ^guidel*es !e ^grade !a (w *dicator: %0## ^grade !a passage *dicator: %0### ^grade !a mode passage t7m*ator: %0#' ** ** ** ^equals \2^^gtm pp !ae, ^^atm pp !abi\) equals: %0\= ^4 sign is alw spac6 on bo4 sides !b \= !b ** ** ** ^plus "& ^m*us ^signs \2^^gtm pp !a, !ae, ^^uum pp !b, ^^atm pp !abh\) plus sign: %0\+ m*us sign: %0\- ^(@ signs )e spac6 on bo4 sides until @ ?d [ !bnd ^class !a \+ !b \= !c !c \- !b \= !a ^@y )e unspac6 f !crd ^class on !a\+!b \= !c !c\-!b \= !a ** ** ** ^multiplica#n ^signs \2^^gtm pp !ae, ^^uum pp !b, ^^uum pp !ff\) ^4 sign is unspac6 on bo4 sides. ^multiplica#n ^sign: %0\< !b\ ** ** ** ^g?7al ^frac#ns \2:td\) #[!ac%/b] ^@ num7ic *dicator sets grade !a mode s \@ is no ne6 to use a grade !a symbol *dicator ] @ d?om*ator. ^if @ num7ator is a numb7, grade !a mode is set by @ num7ic *dicator 0 @ re/ [ @ expres%n, \@0e y only ne6 a grade !a symbol *dicator ;f @ op?_ g?7al frac#n *dicator. #[!a%/!d#d] ^@ lr <#d> * 4 frac#n m/ h xs 9n grade !a symbol *dicator to prev?t x ;_ r,d z ano@r !d. ^5? \@ )e no numb7s * @ frac#n, or 5? grade !a mode is n set * @ c8rse [ @ expres%n, @ op?_ & clos_ g?7al frac#n *dicators ea1 ne6 a grade !a symbol *dicator, * 5 case, use @ grade !a (w *dicator. ^te1nical ^guidel*es !aj ##[x%/y] ** ** ** ^1oice [ ^grade !a ^*dicators \2^^uum pp !ge\) ^un%s @ ne6 0 a grade !a symbol *dicator )ises \2a\) ]* @ f/ !c cells [ a ma4s expres%n,\2as * #[!ac%/b]\) &$/or \2#b\) ;f a s_le lr /&_ al\o ]* @ expres%n, \2z * #[!a%/!d#d]\) @n use a (w *dicator 0 expres%ns ]8t brl spaces \2z * ##[x%/y]\), or a passage *dicator 0 expres%ns ] brl spaces. ###[x%/y] \= [a%/b]#' ^5? us_ @ grade !a passage *dicator, y m/ use a grade !a passage t7m*ator to ?d grade !a mode. ** ** ** ^p7c?tage ^sign \2^^gtm pp !ab, ^^uum pp !ad\) ^p7c?tage sign: %> ^4 is unspac6 f @ prec6_ numb7. !ae%> ** ** ** ^ratio ^sign \2^^gtm pp !ae, !ag, ^^uum pp !ad\) ^ratio sign: %0: ^4 is a comp)ison sign b x is writt? unspac6 on bo4 sides, reg)d%s [ pr*t. ^te1nical ^guidel*es !aa !b:!d \= !f:!ab ^use @ grade !a *dicator \5 @ ratio sign cd ; mi/ak? 0 @ :trac#n . p#:q ** ** ** ^brackets \2^^gtm pp !cj, ^^uum pp !i\) ^r%d brackets: \2 \) ^squ)e brackets: %2 %) ^curly brackets: $2 $) ^foll9 pr*t brackets %2!b\2x\+y\)%) ** ** ** ^48s&s$/^hundr6s$/^t?s$/^units ^symbols ^use @ :trac#n 0 48s&s. ^y ne6 @ grade !a symbol *dicator s t x is n mi/ak? 0 <4>. 48s&s: #4 hundr6s: #h t?s: #t units: #u ^(@ signs )e spac6 on bo4 sides. ^no ne6 0 capital sign, reg)d%s [ pr*t. !a,bjc #4: 0 #h: 0 0 #t: #u: 0 0 0 ^te1nical ^guidel*es !ab ^tally ^m)ks \2^^gtm pp !be, ^^uum pp !de\) %0$$$ $$$$: ^(@ signs )e spac6 on bo4 sides. ** ** ** ^l?g4, ^wei2t, ^capac#y \2^^gtm pp !af, ^^uum pp !ae, ^^atm pp !afc\) !b #m ^- !bm !c cm ^- !c#cm !hj kg ^- !hjkg !h #g ^- !h#g !bj #l ^- !bjl !ae ml ^- !aeml ^up to @ ?d [ !bnd class (@ signs w ; spac6 reg)d%s [ pr*t. !c cm ^al4 ^^ueb tells u to foll9 pr*t, 0 :si/?cy units w ; unspac6 f !crd class. !c#cm ^reg)d%s [ pr*t, only use l97 case lrs. ^0 )ea & volume ref7 to *dex$/p97 signs on page !ai. ** ** ** ^te1nical ^guidel*es !ac ^\t \2^^gtm pp !aj, ^^uum pp !ba, ^^atm pp !abg\) ^up to @ ?d [ !bnd class, @ num7ic *dicator is us6 z @ sep)ator * \ts, reg)d%s [ pr*t. ^4 is n * ^^ueb b is recomm?d6 0 ease [ r,d_ 0 \y7 /ud?ts. !ab.cj$/!abcj$/!ab:!cj )e all brld: !ab!cj ^f !crd class on, foll9 pr*t. !ab:!ae p.m. !ahjj !aj.cj am ^@ grade !a symbol *dicator is n requir6 ] am \2if spac6\) or pm \2spac6 or unspac6\). !aj.cj#am !ab:!aepm ** ** ** ^date \2^^gtm pp !i, ^^uum pp !bb, ^^atm pp !abg\) ^up to !bnd class, rep,t @ num7ic *dicator & space @ numb7s * all dates, reg)d%s [ h9 x appe)s * pr*t. ^4 is recomm?d6 0 ease [ r,d_ 0 \y7 /ud?ts. !bi.ja.bjaf or !bi$/!ja$/!bjaf or ^te1nical ^guidel*es !ad !bi-!ja-!bjaf )e all brld: !bi !ja !bajf ^keep x all tgr; d n split ov7 two l*es. ^f !crd class on, foll9 pr*t. !jh.jb.bjaf !ji$/!jb$/!bjaf !aj-!jb-!bjaf ** ** ** ^ord*al ^numb7s \2^^gtm pp !aj\) ^:trac#ns )e n all96, z @ num7ic *dicator sets grade !a mode. !ast !dth ** ** ** ^roman ^num7als \2^^gtm #p !aa, ^^uum pp !bi\) ^foll9 @ rules 0 capitals & lrs. ^no grade !a *dicators requir6 0 i, ii, iii, iv, ^^xi i ii iii iv ^^xi #v, #x, #^v, #^x d require a grade !a symbol *dicator #v #x #^v #^x ^5? @ hyph? or da3 is us6, @ grade !a *dicator or capital *dicator m/ ; rep,t6. #v-#x ^te1nical ^guidel*es !ae #^x^-^^xx ^\h, y ne6 a grade !a symbol *dicator on @ s_le capital lr, #^x, b n on @ d8ble ^^xx. ** ** ** ^omis%n ^symbol \2^^gtm pp !ai, ^^gtm pp !a, !a.a.b, ^^rueb pp !ea-!eg\) ^acr all subjects, @ <\uscore> omis%n sign w ; us6, reg)d%s [ 5at is us6 * pr*t. %- ^* lit7)y text, x is spac6 on bo4 sides, l a blank space. ^* ma4s, x is spac6 on bo4 sides up to !bnd class. ^f !crd class on, foll9 ^^ueb spac_ guidel*es. !b\+%- \= !e !b\+!c \= %- %-\+!c \= !e !b\+%- \= !e ^use grade !a *dicators z nec. !bdkg \= %-#g !bdjj#g \= %-.%-kg !bdjj#g \= !%-.dkg !bjj#cm \= %-m b !bm \= %-#cm ** ** ** ^te1nical ^guidel*es !af ^omis%n ^symbol * ^equival?t ^frac#ns \2^^gtm pp !ai\) ^0 simple frac#ns ] blanks * @m, @ simple frac#n l*e w ; us6. ^\5 @ d?om*ator is @ blank space, num7ic mode :t*ues acr @ l*e & @ \uscore is *s7t6 z usual. !f/ab \= !a/%- !f/%- \= !a/b ^\5 @ num7ator is @ blank space, @ num7ic *dicator prec6es @ omis%n symbol. !f/ab \= !%-/b !%-/ab \= !a/b ^omis%n ^sign * ^improp7 ^frac#ns !ah/ab \= !%-/b \= !a!%-/b ** ** ** ^patt7ns$/^sequ#es \2^^gtm pp !fe, ^^uum pp !cf\) ^up to @ ?d [ !bnd class use tactile diagrams. ^3ape ^*dicators 6 foll96 by @ relevant brl symbol. ^4 ne6s a grade !a symbol *dicator un%s y )e alr * num7ic or grade !a mode. triangle: #6!c p?tagon: #6!e hexagon: #6!f circle: #60 semi-circle: #6$ ^te1nical ^guidel*es !ag squ)e: #6!d rectangle: #6!dr p)allelogram: #6"!d 3ape t7m*ator: #5 ^f !crd class on, use @ 3ape *dicators. #6!d #60 #6!c #6!d !ah/ab \= !%-/b \= !a!%-/b ** ** ** ^gr8p_ ^signs$/^*dicators \2^^gtm pp !cj, ^^uum pp !aj, ^^rueb pp !bc, ^^gtm pp !aa !b.g\) ^gr8p_ signs )e us6 5? \@ )e no brackets * pr*t b @ brl ne6s to ; gr8p6 or hi2li2t6. ^gr8p_ signs tr,t @ ?clos6 symbols z an item. ^op? gr8p_ sign: 2 ^close gr8p_ sign ) ^hi2li2t6$/^emphasis6 ^numb7s ^up to !bnd class gr8p_ signs c ; us6 */,d [ type0m *dicators \2e.g. bold$/\ul*e$/col8r\) to hi2li2t \o or m digits ]* a numb7. ^4 is n * ^^ueb b is recomm?d6 0 ease [ r,d_ 0 \y7 /ud?ts. ^up to @ ?d [ !bnd ^class: !e \ul*6: !ab2e)fg !e col8r6: !ab2e)fg !e * bold: !ab2e)fg ^te1nical ^guidel*es !ah ^@ num7ic *dicator 3d alw ; 8tside @ op? gr8p_ sign, ev? 5? @ f/ numb7 is hi2li2t6. !2a)befg ** ** ** ^hi2li2t6$/^emphasis6 ^numb7s \2:td\) \2^^rueb pp !ia-!ig, ^^atm pp !adf\) ^f !crd class on foll9 pr*t to emphasise numb7s us_ @ correct type0m *dicators. !ab$;!efg !ab(;!efg ^0 col8rs or italics use @ bold symbol. !e col8r6: !ab(;!efg !e * italics: !ab(;!efg ^5? @ f/ digit is @ hi2li2t6 digit, @n @ type0m *dicator goes ;f @ num7ic *dicator. (;!abefg ^5? \@ is m 4an \o 0m [ pr*t hi2li2t \2bold, \ul*e & col8r6\) only use \o type0m *dicator. ^5? * d8bt use @ bold *dicator. (;!abefg (;!ab(;!ef(;!g ^5? two or m :secutive numb7s )e hi2li2t6, @ appropriate (w *dicator is us6 ;f @ f/ hi2li2t6 digit ] a t7m*ator ^te1nical ^guidel*es !ai plac6 af @ la/ hi2li2t6 digit. !ab$,!ef$'!g ** ** ** ^*dex$/^p97 ^signs \2^^gtm pp !cd, ^^uum pp !e, !ge\) ^sup7script: %0* ^subscript: %0? ^(@ h ano@r m,n_ * lit7)y brl, \@0e un%s @y )e prec66 by a num7ic *dicator, @y w require a grade !a symbol *dicator. cm#*!b x#*!c ^@ num7ic *dicator sets grade !a mode, s \@ is no ne6 0 a grade !a symbol *dicator. !b*!b !b*b ^5? @ sup7script is a frac#n: !i*!a/b a#*!a/b ##a*[p%/q] ** ** ** ^*dex$/^p97 ^signs \2:td\) ^@ same rule applies 0 subscripts: !c?!b x#?!a ^@ sup7$/subscript level 1ange ref7s only to @ next item. x#*!by ^te1nical ^guidel*es !bj ^if \@ is m 4an \o item or symbol * @ sup7$/subscript, gr8p_ signs m/ ; us6 to ?close x. ##x*2!by) ^;c bo4 @ sup7script sign & @ gr8p_ sign ne6 a grade !a symbol *dicator, a grade !a (w *dicator is us6. ^\5 y h sup7scripts & subscripts simultane8sly, @ subscript is brld f/, foll96 by @ sup7script. x#?!a*!b ^* 4 example @ subscript sign ne6s a grade !a symbol *dicator; h9\e, @ sup7script sign doesn't ne6 \o z grade !a mode has be? set by @ prec6_ unspac6 num7ic *dicator. ** ** ** ^root ^sign \2^^gtm pp !dj, ^^uum pp !f, ^^uum pp !g\) ^reg)d%s [ h9 x appe)s * pr*t, alw use @ squ)e root sign <] v*culum>. ^use: 3 ^root ^t7m*ator: _ ^;c we )e us_ @ <] v*culum> sign, @ root m/ alw ; t7m*at6. #3!i_ \= !c ^@ squ)e root sign has ano@r m,n_ * lit7)y brl, \@0e @ grade !a symbol ^te1nical ^guidel*es !ba *dicator m/ prec6e x. ##3x\+y_\+!c n4 ^root ^sign ##3*!e!f_ ###3*ax_ \= b#' ** ** ** ^positive "& ^negative ^numb7s \2^^gtm pp !ah, !cg, ^^uum pp !c\) ^(@ )e \s\ts writt? z sup7scripts to hi2li2t @ \+$/^- values. #*\-!b\+*\+!c\+*\-!g ^5? x is n sup7script6 @ op7a#n signs )e spac6 to emphasise @ plus & m*us values. \-!b \+ \+!c \+ \-!g ** ** ** ^degrees$/^m*utes$/^seconds \2^^gtm pp !ab, ^^rueb pp !bg-!cj\) degree: %0(j m*ute: %0= second: %0== ^(@ signs )e brld unspac6. !j(j^c !cb(j^f !be(j!ac=!eb== ^feet & *1es )e brld & spac6 @ same way. feet: %0= *1es: %0== ^te1nical ^guidel*es !bb !f=!d== ** ** ** ^l*e ^\4 ^symbol \2^^gtm pp !bd, !eg, ^^uum pp !ce\) ^4 sign applies to @ immly prec6_ item. ^l*e \4: "5 ^n equal to: \="5 !ae"5 ** ** ** ^p)allel$/^p7p?dicul) ^sign \2^^gtm pp !ej, ^^uum pp !ch\) ^p)allel: !l ^p7p?dicul): !- ^(@ signs )e unspac6 on bo4 sides. ^a!l^b ^a!-^b ** ** ** ^\@0e ^sign \@0e: ^1 ^4 sign is spac6 on bo4 sides. ^a!l^b #^1 ^b!l^a ** ** ** ^)r9s \2^simple\) \2^^gtm pp !fj, ^^uum pp !cd\) ^)r9s )e comp)ison signs & )e spac6 on bo4 sides. )r9 *dicator: 8 ^\r )r9: 8o ^te1nical ^guidel*es !bc ^left )r9: 89 ^impliies: 8==o ^un%s y )e alr * num7ic or grade !a mode, (@ ne6 a grade !a symbol *dicator. ** ** ** ^l#g expres%ns$/rules :ta*_ (ws \2^^uum pp !gf\) ^0 cl)#y ;t func#ns & (ws alw space op7a#nal signs. ^ref7 to page !aj 0 ^1oice [ ^grade !a ^*dicators. ^trapezoidal rule: ^)ea \= ###[width%/!b]\ %2first height \+ last\ height \+ !b\2remaining\ heights\)%)#' ** ** ** ^divid_ l#g ma@matical expres%ns \2^^gtm pp !c-!d, !a.d, ^^uum pp !gd\) ^\5 possible, l#g equa#ns 3d ; split ;f comp)ison or rela#n signs. ^\5 4 is n possible, @n @ dot !e is *s7t6 at @ mo/ logical splitt_ po*t * @ expres%n to make x cle) t @ next l*e is a :t*ua#n [ @ curr?t \o. ###[w%/!b] \= %2h?!a\+h?!g\ \+!b\2h?!b\+h?!c\+h?!d\ \+h?!e\+h?!f\)%)#' ^te1nical ^guidel*es !bd ^algebra \2^^gtm pp !ag, ^^uum pp !cb\) ^lrs ^\5 nec, lrs /&_ al\o 3d ; prec66 by @ grade !a symbol *dicator. ^4 *cludes \5 x cd ; misr,d z @ *def*ite )ticle. ^f*d @ value [ #a * @ foll9_ equa#n: #a \= !b\+!c #a is @ l*e a\-!bx \= \-!bx\-!b #l is @ l*e y\-!f \= \-!bx-!b ^\5as: !bp $"2 !ah ** ** ** ^trigonometry \2^^gtm pp !dd, ^^uum pp !cg\) ^space all func#ns reg)d%s [ pr*t. ^cos !cj(j ^tan !cj(j #y cos !fj(j \= !e.da ^alw spell 8 @ (w ^sin. ^sin !cj(j !a/b#ab sin #^c #^x \= sin#*2\-!a)\ \2!e/ab\) ** ** ** ^te1nical ^guidel*es !be ^geometry \2^^gtm pp !ff, ^^uum pp !cg-!ch, ^^uum pp !i\) ^* geometry alw space 3ape expres%ns, reg)d%s [ pr*t. #6!c ^^abc #6"!d ^^abcd ^v7tical b) \2op? or close\): $8 $8^^ab$8 $8$9^a$8 ^a!-^b ^a!l^b #6!c ^^abc $0 #6!c ^^def %2^^ba ###[$8^^^de$8%/$8ab$8] \= [$8df$8%/$8ac$8] \= [$8ef$8%/$8bc$8^']#' ###$8^^ab$8 \= 3\2x?!a\+x?!b\)*!b\ \+\2y?!a\+y?!b\)*!b_#' ** ** ** ^embelli3#ts \2^^gtm pp !eg, ^^uum pp !ce\) ^(@ a+ect @ previ8s item. l*e \4: "5 \="5 \2unspac6 ;c x is all \o symbol, n a comp)ison\) ^use @ grade !a *dicator z nec. ^te1nical ^guidel*es !bf hat ov7: \5 x#\5 b) \u: ^5 x#^5 b) ov7: 5 x#5 ^a^b\5^c is al writt? $9^^abc, & w ; transcrib6 z s1, reg)d%s [ h9 x appe)s * pr*t. $9^^abc simple \r )r9 ov7: (5 ##2^^ab)(5 ** ** ** ^set ^nota#n ^brackets ^curly brackets )e us6 & commas ;t @ ele#ts )e 39n. #^a \= $2!a, !b, \-!c$) ^alw *s7t commas & spaces * sets reg)d%s [ pr*t. ^foll9 5at\e brackets )e us6 * pr*t. ** ** ** ^set ^@ory \2^^gtm pp !dh, !ej, ^^uum pp !dh, !fg\) ^univ7sal ^set: #^u ^c)d*al numb7: $4 ^op7a#n ^signs ^union: %+ ^*t7sec#n: %< ^comp)ison ^signs ^subset: (2 ^n a ^subset: (2"5 ^sup7set: () ^te1nical ^guidel*es !bg ^ele#t: (e ^n an ele#t [: (e"5 ^o@r ^signs ^null$/^empty ^set: %0"j or $2 $) ^less$/^not: $1 ^n ^equal ^to: \="5 ** ** ** ^prime or ^comple#t \2^^gtm pp !dh, !ej, ^^uum pp !af, !bi\) ^prime: %0= ^comple#t: %0== ^p=%<^q= \2^^pq\)== ** ** ** ^matrices \2^^gtm pp !fi, ^^uum pp !dd\) ^(@ )e laid 8 v7tically z * @ text. ^@ dot !f at @ ;g*n_ & ?d [ ea1 bracket6 sec#n 39s t x is a l#g bracket \2ov7 m 4an \o l*e\). #^a ^\2!a !j^\) ^\2!j !a^\) ^brackets & num7ic *dicators )e align6, ev? if 4 gives rise to unusual spac_. p#5 \= ^\2\-!b ^\) ^\2 !ac^\) ** ** ** ^te1nical ^guidel*es !bh ^calculus \2^^gtm pp !cd, ^^gtm pp !ci, !df "& !ej, ^^uum pp !ce\) expres%n directly ;l: %? expres%n directly abv: %* ##lim%?2x8o!e)f\2x\) ##lim%?2x8oa)f\2x\) \= !a ##[dy%/dx] 4 is call6 ##["dy%/"dx] ##[^%dy%/^%dx] ##[d*!by%/dx*!b] or f==\2x\) ** ** ** ^b*omial ^@orem \2^^gtm pp !ec, !fh\) ^p7muta#ns & ^comb*a#ns ^(@ )e laid 8 * a l*e) fa3ion s use @ v7tical juxtaposi#n symbol to *dicate @ fact t 4 is a v7tical pr*t lay8t. v7tical juxtaposi#n symbol: #7 #n^pr ###*n^p?r \= [n+%/\2n\-r\)+]#' #n^cr \2n#7r\) ###*n^c?r \= \2n7r\) \= [n+%/r+\2n\-r\)+]#' ^te1nical ^guidel*es !bi ^comput7 ^nota#n \2^^gtm pp !hc, ^^rueb pp !agh, ^^atm pp !acc\) ^@ l*e :t*ua#n *dicator is us6 5? an email or web address runs ov7 to @ next l*e. ^alw split at a logical po*t. ^visit @ ^1ildvi%n website at: http:$/$/1ildvi%n.ie$/\ site$/programmes$/assess#t$/ http:$/$/vi%n$/!bjag.#child.ie ^email addresses use @ symbol: %0"a te/!bjag"avision.ie ** ** ** ^calculator ^keys ^symbols ^4 )ises \5 @ picture or */ruc#n * @ book is ab press_ buttons on a calculator. ^:tr)y to @ su=es#n [ ^^gtm to foll9 pr*t, @ univ7sal sign 0 <^on yr calculator> w be: ^cal ^subsequ?t signs$/symbols 3d ; spac6 & calculator mode is t7m*at6 by a l*e space. ^cal ^^ce \/ \< \- \+ . \= ^at second)y level, \5 @ !bnd & !crd func#n is us6, ^cal!b & ^cal!c w ; ^te1nical ^guidel*es !cj *s7t6. ^4 is ;c di+7?t calculators h di+7?t buttons to *itiate (@ func#ns. ^cal!b ^cal!c ** ** ** ^transcrib7's ^note ^*dicators \2^^gtm pp !ff, ^^uum pp !fi, ^^atm pp !aaf\) ^op?: "%2 ^close: "%) ^(@ )e use#l 0 giv_ addi#nal *0ma#n t is n * @ pr*t v7%n. ^@y )e us6 & spac6 * @ same way z brackets. ^(wsigns & :trac#ns may ; us6 z usual ]* @m. ** ** ** ^greek ^lrs \2^^gtm pp !ef, ^^uum pp !ci\) ^greek lr modifi7 is: % & @ capital ^greek lr modifi7 is: ^% ^(@ apply to @ next lr only. ^l97 case ^greek lrs %a ^greek alpha %b ^greek beta %g ^greek gamma %d ^greek delta %4 ^greek @ta %l ^greek lambda %m ^greek mu ^te1nical ^guidel*es !ca %p ^greek pi %r ^greek rho %s ^greek sigma %w ^greek omega ^capital ^greek lrs ^%d capital ^greek delta ^%s capital ^greek sigma ^%w capital ^greek omega :::::::::::: ^^ueb ^symbols 0 ^prim)y !cb ^^ji: ^junior ^*fants ^^si: ^s?ior ^*fants ^topic; ^/)t ^ye); ^^gtm ^page ^numb7s; ^^ji; !b ^plus ^sign; ^^si; !ae ^equals; ^^si; !ae ^less ^4an; ^^si; !ae ^grt7 ^4an; ^^si; !ae ^omis%n ^symbol; ^^si; !ai ^m*us ^sign; !ast; !ae ^simple ^frac#ns; !ast; !ca ^t?s & ^units ^symbol; !ast; ... ^l?g4, ^wei2t, ^capac#y; !ast; !af ^euro ^symbol; !ast; !ac ^c?t ^symbol; !ast; !ac ^left ^r%d ^bracket; !ast; !cj ^\r ^r%d ^bracket; !ast; !cj ^date, ^\t & ^cal?d)s; !ast; !i-!aj ^ord*al & ^roman ^numb7s; !ast; !aj-!aa ^decimal ^po*t; !bnd; !i ^degree ^sign; !crd; !ab ^frac#ns !b; !crd; !ca-!cc ^multiplica#n ^sign; !dth; !ae ^divi%n ^sign; !dth; !ae ^mulitplica#n ^dot; !dth; !ae ^*dex$/^p97 ^sign !dth; !cd-!ci ^ratio ^sign; !dth; !ag ^p7c?tage ^sign; !dth; !ab ^positive ^numb7s; !e-!fth; !ah ^^ueb ^symbols 0 ^prim)y !cc ^negative ^numb7s; !e-!fth; !ah ^squ)e ^root ^sign; !e-!fth; !dj ^squ)e ^root ^t7m*ator ^sign; !e-!fth; !dj ^doll) ^sign; !e-!fth; !ab ^p%d ^sign; !e-!fth; !ab ^n ^equal ^to ^sign; !e-!fth; !ae ^squ)e ^brackets, ^left & ^\r; !e-!fth; !cj ^degree$/^m*ute$/^second ^signs; !e-!fth; !ab ^triangle ^sign; !e-!fth; !fe ^3apes ^signs; !e-!fth; !fe ^p)allel ^l*es ^sign; !e-!fth; !ej ^p7p?dicul) ^sign; !e-!fth; !ej ^calculator ^keys ^symbols; !e-!fth; !ah ^)r9s \2^simple\); !e-!fth; !fj-!fc ::::::::::::