UNCORRECTED SAMPLE PAGES 4-1. Naming fractions KEY IDEAS. 1 Each shape represents ONE whole. a i ii. b i ii

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1 - Nming frtions Chptr Frtions Eh shp rprsnts ONE whol. i ii Wht frtion is shdd? Writ s frtion nd in words. Wht frtion is not shdd? Writ s frtion nd in words. i ii i ii Writ s mny diffrnt frtions s you n to dsri th frtion of this shp tht is shdd. Writ th impropr frtion s mixd numr, nd skth digrm to illustrt. A quntity tht is prt of whol is frtion. Nming prts of frtion: numrtor numr of prts out of th whol dnomintor numr of qul prts in th whol Thr ighths is writtn s. Thr r prts in on whol nd thr r thr of thm. In propr frtion th numrtor is lss thn (<) th dnomintor;.g. in, < In n impropr frtion th numrtor is grtr thn (>) th dnomintor;.g. in, > A mixd numr onsists of whol numr nd propr frtion;.g. 6 d 6 Chptr Frtions 9 Unorrtd third smpl pgs Cmridg Univrsity Prss Fgn, Goody & Lwrn 0 ISBN Ph

2 Writ th mixd numr s n impropr frtion. d 9 Six frinds r givn two nd hlf pizzs tht wr lft ovr from lss prty. How muh will thy h hv if th pizzs r shrd qully? Skth digrms to show how thy ould shr th pizzs so thy h hv th sm mount. 6 Th sor oh ut up too mny orngs for his tm t hlf tim. Th orngs r ut into qurtrs nd thr r lvn pis lft. How mny orngs is this? 0 Mthmtis & Sttistis for th Nw Zlnd Curriulum Workook: Yr 9 Unorrtd third smpl pgs Cmridg Univrsity Prss Fgn, Goody & Lwrn 0 ISBN Ph

3 - Equivlnt frtions Chptr Frtions Work out th missing numr to mk n quivlnt frtion. 6 ; W 0 W d 0 ; W W W ; W 6 W ; W 6 ; W W Fill in th missing numrs to omplt th st of quivlnt frtions d 6 Find thr frtions quivlnt to h. Equivlnt frtions r qul thy indit th sm shr of whol d An quivlnt frtion n rtd y: multiplying th numrtor nd th dnomintor y th sm numr: is th sm s 6 or dividing th numrtor nd th dnomintor y th sm numr. This is lld simplifying us w nl ommon ftors in th frtion:.g. is th ommon ftor so it n simplifid. 6 This lvs, so 6 is quivlnt to. A frtion tht nnot simplifid is lld simpl frtion Chptr Frtions Unorrtd third smpl pgs Cmridg Univrsity Prss Fgn, Goody & Lwrn 0 ISBN Ph

4 Writ h frtion in its simplst form. g d f Complt ths tls to form quivlnt frtions. Count y s 6 9 Count y s 6 Count y s Count y s Mthmtis & Sttistis for th Nw Zlnd Curriulum Workook: Yr 9 Unorrtd third smpl pgs Cmridg Univrsity Prss Fgn, Goody & Lwrn 0 ISBN Ph

5 - Compring frtions Chptr Frtions i Mrk h st of frtions on th numr lin. ii If frtions hv th sm dnomintor, th frtion with th lrgr numrtor is th lrgr frtion;.g. > If frtions hv th sm numrtor, th frtion with th lrgr dnomintor is th smllr frtion;.g. > If nithr th numrtor nor dnomintor r th sm w n: onvrt to quivlnt frtions to ompr thm nhmrk on numr lin y ompring to known frtions suh s hlf, qurtr. Writ th frtions in ordr from smllst to lrgst. On th lin from 0 to : Smllst to lrgst On th lin from 0 to : Smllst to lrgst On th lin from 0 to : Smllst to lrgst d On th lin from 0 to : Smllst to lrgst { } 6,,,, { },,,, 6 0 { },,,, { },,,, 6 0 Chptr Frtions Unorrtd third smpl pgs Cmridg Univrsity Prss Fgn, Goody & Lwrn 0 ISBN Ph

6 Us th numr lin for h pir of frtions, nd pl th frtions on th lin. Thn stt whih frtion is th lrgst. d nd 0 nd 6 nd 9 nd Insrt < or > to mk th sttmnts tru. g i Arrng ths frtions in ordr from smllst to lrgst.,,,, 9,, 0 6 d f h 9 9 Thr frinds shr pizz. Tim ts, Pn ts nd Kr ts 6. Who t th most? lrgr frtion is lrgr frtion is lrgr frtion is lrgr frtion is Who t th lst? How muh would thy hv hd h if thy hd shrd th pizz qully? Mthmtis & Sttistis for th Nw Zlnd Curriulum Workook: Yr 9 Unorrtd third smpl pgs Cmridg Univrsity Prss Fgn, Goody & Lwrn 0 ISBN Ph

7 - Adding nd sutrting frtions Chptr Frtions Work out nd writ th solution in its simplst form or s mixd numr. g i k + d + f + h + + j l Work out nd writ th solution in its simplst form or s mixd numr d f + 9 g i k Frtions with th sm dnomintor n ddd or sutrtd sily, us thy r th sm siz pis. Th numrtors r ddd or sutrtd..g. + 6 If frtions do not hv th sm dnomintor, thy must rwrittn for dding or sutrting. Chng frtions to quivlnt frtions with th sm dnomintor. Add or sutrt th numrtors. Writ th nswr in its simplst form or s mixd numr. 9 h 6 j Chptr Frtions Unorrtd third smpl pgs Cmridg Univrsity Prss Fgn, Goody & Lwrn 0 ISBN Ph

8 Work out nd writ th solution in its simplst form or s mixd numr. g i d f h j k 9 Work out th primtr of qudriltrl with sids msuring,, nd mtrs. 6 Primtr A shool s PE thr hs don survy of studnts plying for shool tm. Ths r hr rsults. Complt th tl. Sport Touh Bsktll Tnnis Sor Othr No tm sport Boys Girls 0 6 Zh is hking th ntworks tht h snds txts to. Two thirds of his txts r to th sm ntwork s h uss. On qurtr of his txts r to th min omptitor nd th rst r to othr ntworks. Wht frtion of txts dos h snd to th othr ntworks? At rnt musi thr-dy fstivl, thr fifths of ll tikts sold wr for thr dys. On qurtr of tikts sold wr for two dys nd th rst wr for on dy. Wht frtion of th tikts wr sold for on dy? 0 6 Mthmtis & Sttistis for th Nw Zlnd Curriulum Workook: Yr 9 Unorrtd third smpl pgs Cmridg Univrsity Prss Fgn, Goody & Lwrn 0 ISBN Ph

9 - Multiplying y frtion Chptr Frtions Work out th nswrs. g i k 6 of d f h j 6 l m Work out th nswrs. Whn multiplying frtion y whol numr, multiply th numrtor y th whol numr. If th frtion is mixd numr, thn turn th frtion into n impropr frtion first. Multiplying frtion y nothr frtion lss thn givs n vn smllr frtion. Numrtors r multiplid togthr nd dnomintors r multiplid togthr:.g. Mixd frtions r hngd to impropr frtions for ing multiplid:.g. oms Somtims it is possil to simplify first using ommon ftors;.g. 0 6 Both nd n dividd y thir ommon ftor. d f 9 6 of 9 of 6 6 Chptr Frtions Unorrtd third smpl pgs Cmridg Univrsity Prss Fgn, Goody & Lwrn 0 ISBN Ph

10 Work out th nswrs. of 9 d f 6 g 0 6 Josi uss litrs of spry on hr lwns. M s lwns r tims s lrg. How muh spry will M rquir? Toi lims m up liming wll. Conrd lims tims s high. How fr did Conrd lim? How muh highr thn Toi did Conrd lim? Mthmtis & Sttistis for th Nw Zlnd Curriulum Workook: Yr 9 Unorrtd third smpl pgs Cmridg Univrsity Prss Fgn, Goody & Lwrn 0 ISBN Ph

11 -6 Frtion of quntity Chptr Frtions Clult: d on hlf of six fiv sixths of twlv two fifths of twnty two thirds of th pkt of 6 lollis Work out th nswr. of 00 of 0 6 of $ d of 60 minuts Blk ts of g of jllyns. Th word of n hngd to multiplition sign;.g. of Doul numr lins r usful wy of lulting frtions of quntity;.g. of 0 pssngrs n found y using ths numr lins. How mny jllyns dos Blk t? Wht frtion of th jllyns is lft? How mny jllyns r lft? Four frinds ntr s tm in th Round Lk Tupo yl rly. Th totl distn is 0 km. Eh prson rids for on qurtr of th rly. How fr dos h prson yl? Tin rns $ pr wk. Sh kps of hr rnings nd pys th rst in txs. How muh n sh kp? Chptr Frtions 9 Unorrtd third smpl pgs Cmridg Univrsity Prss Fgn, Goody & Lwrn 0 ISBN Ph

12 - Dividing y frtion Solv th following. 6 Work out th nswrs. Dividing y frtion is th sm s finding how mny of thos frtions thr r in tht numr. Whn dividing whol numr y frtion lss thn, th rsult is lrgr thn th originl numr..g. four dividd y on third mns: How mny thirds r thr in four whols? 0 6 Thr r thirds in four whols. Division y frtion n lso don y multiplying y th frtion flippd upsid down. is th sm s writing Dividing frtion y whol numr givs smllr frtion, us w r sking how mny whol numrs r in tht frtion;.g. mns how mny fours r thr in? Or is th sm s writing. Th division n hngd to multiplition y flipping th sond frtion. d f pizzs r shrd twn 6 popl. How muh dos h prson riv? Joss uys gs of grss sd. H nds of kilogrm for vry squr mtr of lwn. 6 If thr is kg of sd in h g, wht r of lwn n h sow? 0 Mthmtis & Sttistis for th Nw Zlnd Curriulum Workook: Yr 9 Unorrtd third smpl pgs Cmridg Univrsity Prss Fgn, Goody & Lwrn 0 ISBN Ph

13 - Convrting frtions nd dimls Chptr Frtions Writ s diml numr. on tnth on hundrdth on thousndth Writ s frtion. on tnth on hundrdth on thousndth Us th nswrs to Qustions nd to omplt ths sttmnts. on tnth 0 on hundrdth 00 thr thousndths 000 Complt th following d Chng to dimls. To hng diml to frtion rwrit it with dnomintor of 0 or 00 nd thn simplify if possil. To hng frtion to diml, rwrit s quivlnt frtion with dnomintor of 0 or 00 Or, divid th numrtor y th dnomintor. Or, us doul numr lin;.g In hnging frtion to diml w oftn rt rurring dimls. A rurring diml is diml tht rpts. W show th rpting pttrn using dots or rs ovr th numrs or 0.. nd or 0. Hr r som frtion diml onvrsions tht you should know.. Frtion Diml Chptr Frtions Unorrtd third smpl pgs Cmridg Univrsity Prss Fgn, Goody & Lwrn 0 ISBN Ph

14 6 Chng to frtion d f 0.00 Chng to diml. g i k d f 6 h 9 j 6 l Chng to frtion d f 0.6 g 0. h 0. 9 Chng th frtion to diml, nd thn stt whih is iggr, th frtion or th diml. or 0.6:, is iggr or 0.:, is iggr or.:, is iggr 9 9 Mthmtis & Sttistis for th Nw Zlnd Curriulum Workook: Yr 9 Unorrtd third smpl pgs Cmridg Univrsity Prss Fgn, Goody & Lwrn 0 ISBN Ph