Fractions, Decimals and Percentages

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1 F Teher Stuent Book SERIES Frtions, Deimls n Perentges Nme

2 Contents Series F Frtions, Deimls n Perentges Topi Setion Frtions Answers (pp. (pp. ) ) Dte omplete frtions of shpes frtions types of frtions of olletion ompring frtions, eimls n orering n perentges frtions fin lulting the frtion solve _ mmmmm, hoolte pply / / / / / / / / / / Topi Setion Types Assessment of frtions with (pp. nswers ) (pp. 0) equivlent frtions frtions _ mixe types of numerls frtions n improper frtions _ equivlent frtions, eimls frtion n snp perentges pply feeing lulting time pply Topi Frtions, eimls n perentges (pp. ) Setion Ojetives (p. ) tenths tenths n hunreths ple vlue to thousnths perentges mth n snp pply Topi Clulting (pp. ) ing n sutrting frtions with like enomintors ing n sutrting frtions to n from whole ing n sutrting frtions ing eiml frtions Series Authors: sutrting eiml frtions Rhel Flenley Niol Herringer you ut, I hoose solve / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / Copyright

3 Frtions frtions of shpes A frtion is prt of whole. This shpe hs equl prts. of these hve een she. she prts prts ltogether The top numer is the numertor, the ottom numer is the enomintor. Wht frtion of eh shpe hs een she? 0 e f g h Answer the following questions out the shpes ove: Wht prt of is unshe? Wht frtion of e is unshe? In f, is more of the shpe she or unshe? Unshe Wht frtion of is unshe? e Look t shpe h. Wht n you sy out the mount of she n unshe prts? They re equl She the given frtion for eh shpe: 0 0 Configurtion will vry. Frtions, Deimls n Perentges Copyright P Lerning F SERIES TOPIC

4 Frtions frtions of shpes Are these sttements true or flse? is she is she is she is she True True Flse Flse Colour the shpes to show: one thir one qurter two thirs Configurtion will vry. Now fin nother wy to olour the shpes to show the sme frtion: one thir one qurter two thirs Configurtion will vry. Wht frtion of eh hunre squre is she? e 0 00 or 0 0 or or 00 or 00 0 or 00 or 00 Stuents my reue the frtions or give frtion out of 00. Either nswer is orret. F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

5 Frtions frtions of olletion We n lso hve frtions of groups. This is group of ots. out of the ots re irle. We express this s Wht frtion of eh group hs een irle? or e f Look t the metre ruler n work out how mny entimetres re represente y the frtion: m m m m 0 m m Sometimes we re ske to fin the frtion of n mount suh s: Fin one qurter of this rry. There re ots in the rry. First we ivie the rry into equl prts. There re ots in eh prt or qurter so one qurter of is. Use the rrys to help fin the given frtions of the groups: of this rry is ots of this sme rry is ots of this rry is ots of this sme rry is ots Frtions, Deimls n Perentges Copyright P Lerning F SERIES TOPIC

6 Frtions frtions of olletion There is nother wy to fin frtions of mounts: Wht is of 0? 0 ivie into groups is in eh group 0 Fin the frtionl mounts. You n use loks or ounters to help or solve the prolems in your he using ivision: of 0 of of of 0 e of f of g of h of One we know how to fin one prt of group, we n use this to fin other mounts: To fin of, we first fin of of of is times this x of Fin the frtionl mounts. Use the spe elow to work out the ifferent steps: Wht is of 0? Wht is of? Wht is of? 0 x x x x 0 x x Wht is of? e Wht is of? f Wht is of? x x x x x x F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

7 Frtions ompring n orering frtions We n use numer lines or frtion strips to help us ompre n orer frtions Use the strips ove to help you nswer the following questions. Cirle the orret nswers: Whih is igger? or Whih is smller? 0 or Whih is smller? or Use the frtion strips to: Fin frtions tht re the sme s Fin frtions tht re the sme s Fin the frtion tht is greter thn ut less thn or 0 or 0 Write similr prolems for frien to solve: Answers will vry. Frtions, Deimls n Perentges Copyright P Lerning F SERIES TOPIC

8 Frtions ompring n orering frtions Lel the missing frtions on the numer line: Are these sttements true or flse? Use the numer lines ove to help you with your eision._ Rememer the lrge en < ets the lrge numer. < > > < True Flse True True e > f > g > h > True Flse True True Use the numer lines ove to help you put these frtions in orer from smllest to lrgest: F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

9 Fin the frtion solve Wht to o Your jo is to work out wht frtion of eh shpe is she. Some of them re simple to work out, others will tke little more thinking. or or or or or or Hmm wht will help me_ work these out? I oul flip_ the she prts roun in my_ he or mye I oul ut the_ shpes out n re-orer them. or Frtions, Deimls n Perentges Copyright P Lerning F SERIES TOPIC

10 Mmmmm, hoolte pply Getting rey In this tivity you will use your knowlege of frtions to shre hooltes mongst fmily. Wht to o Mum gve you n your (imginry) rothers n sisters ox of hooltes to shre (lso imginry, unfortuntely). She hs eie to shre them out se on how well you ll lene your rooms. There re hooltes in the ox. Follow the iretions to fin how mny you eh reeive: Your sister Srh n hve of the hooltes. How mny hooltes is this? hooltes Your sister Clire wishe she h known this onition when she lene up her room. She n only hve of the hooltes. How mny is this? hooltes Your rother Angus i rillint jo on his room n is entitle to hooltes. How mny is this? of the hooltes You get the rest! How mny o you get? hooltes e Wht is your shre expresse s frtion? or Wht to o next Write n ition sentene to show how the hooltes were shre Now write frtion ition sentene to show how they were shre F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

11 Types of frtions equivlent frtions Different frtions n hve the sme mount. They re equivlent. This pizz hs een ut into prts. hs een eten. This pizz hs een ut into prts. hs een eten. Do this foling pper tivity to help you unerstn how equivlent frtions work: You'll nee seprte retngulr piee of pper similr to the one elow. Fol it into equl prts n then unfol it. Lel eh setion with its frtion here: Rememer the ottom_ numer tells us how mny_ prts there re in the whole. Refol your pper into thirs n fol the thirs into hlves. Unfol the pper. Wht frtion oes eh of the new setions represent? Lel them here: Fol the pper k gin n fol it in hlf one more. Unfol it n lel the frtions here: Use the igrms in Question to help you nswer the following questions: Wht frtions n you fin tht re equivlent to? Wht frtions n you fin tht re equivlent to? Wht other frtions n you think of tht might e equivlent to?,, 0 F Copyright P Lerning Frtions, Deimls n Perentges SERIES TOPIC

12 Types of frtions equivlent frtions Write the equivlent frtion for eh of these: e 0 f Fin n equivlent frtion for eh of these. Divie the igrms to rete ifferent numer of equl prts. The first one hs een one for you. e f Is equivlent to? Use igrms to help explin your resoning: Yes Digrms will vry. Is equivlent to? Use igrms to help explin your resoning: No Digrms will vry. 0 F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

13 Types of frtions equivlent frtions This setion hs een omplete y our work experiene oy. How i he go? Give him some feek: Your feek: is orret. 0 You hve the numertors orret ut your enomintors re inorret. Complete the numer lines. The first hs een one for you: Use the numer lines to nswer the following: How mny equivlent frtions n you fin for? Di you fin pttern? Cn you ontinue it?,,, 0 Yes numertor inreses y one, enomintor goes up in s. F Copyright P Lerning Frtions, Deimls n Perentges SERIES TOPIC

14 Types of frtions mixe numerls n improper frtions Mixe numerls onsist of oth whole numer n frtion. Ky hs full pkets of penils n one hlf pket of penils. This is shown s Write mixe numerl for eh of the she sets of shpes: or or e f or Drw some igrms or pitures tht woul represent: Digrms will vry. n n n n Wht might the missing numers e? > Smple nswers. < The little_ pointy prt_ of the sign >_ points to the_ smller numer! < > e > F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

15 Types of frtions mixe numerls n improper frtions Mixe numerls n lso e written s improper frtions. Look gin t Ky s full pkets n one hlf pket of penils. This is five hlves. Written s n improper frtion, this is. Express these s frtions. Cirle ny improper frtions: An improper frtion is ny frtion where the prts up to more thn. Colour the shpes to rete the following improper frtions. Rememer eh shpe is one whole. e f 0 Whih is igger? Cirle the lrger frtion: or or or F Copyright P Lerning Frtions, Deimls n Perentges SERIES TOPIC

16 Types of frtions mixe numerls n improper frtions Complete the numer lines y filling in the oxes: Use your omplete numer lines to help you nswer these questions: Wht is expresse s n improper frtion? Write s mixe numer. Fin n improper frtion tht is greter thn 0 ut less thn. Possile nswers:,,,, Your teher offers you the hoie etween 0 or hours of litter uty. Are they oing you ny fvours? 0 ( ) hours Show the improper frtions. The numer line t the top of the pge will help: e f g h i F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

17 Equivlent frtion snp pply Getting rey Ply this gme with frien. You ll nee two sets of these rs. Mke opies of this pge, ut out the rs n omine the two sets into one pile. opy Wht to o Plyer els the rs fe own etween the two plyers. Plyer strts the gme y pling r in the entre. Plyers tke turns in turning over the top r on their pile n pling it in the entre pile. Cll, Snp! n tke the entre pile if the r is ientil to or n equivlent frtion to the r lrey fe up. The four wil rs n e use to mke Snp! When plying wil r, you must nme orret equivlent frtion. The person with ll the rs t the en is the winner.???? F Copyright P Lerning Frtions, Deimls n Perentges SERIES TOPIC

18 Feeing time pply Getting rey Emm is onfuse. She unerstns mixe numerls ut not improper frtions. Her hs ske her to help out t their willife zoo ut he hs use improper frtions in his iretions. Wht to o She the orret mounts on the ontiners, then onvert the improper frtions to mixe numerls for Emm so the nimls n e fe orretly. Der Em, Off to see mn out n igun. Be love n fee the nimls for me, will you? Bk for the fternoon fee. At m, fee the lms ups of pellets. or ups At m, give Culi the ro her ukets of stek. (Rememer Culi onsiers your hn to e one of her fvourite foo groups). ukets At m, fee the snkes their Snkes eserve to e fe too. oxes of rts. Stop griming. oxes At miy, fee the pigs their ukets of mushrooms n grss. They won't e out for it till the evening ut they wnt it now. Who woul hve thought pigs woul e so preious? Go figure ukets D xxx F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

19 Frtions, eimls n perentges tenths Deiml frtions lso express prts of whole. This strip hs een ivie into 0 equl prts. Three out of ten or 0 is she We n lso express this s 0.. There re no whole units n tenths Write the she ommon frtion n its equivlent eiml frtion: She the frtion strips to mth the ommon frtion or eiml frtion: Use ruler n penil to ivie the wholes into tenths. She the given mounts n express s eimls: F Copyright P Lerning Frtions, Deimls n Perentges SERIES TOPIC

20 Frtions, eimls n perentges tenths n hunreths A hunreth is tenth of tenth. Here, hunreths hve een she. We write this s 0. There re no units, tenths n hunreths. Use ruler n penil to ivie these into hunreths n then she the speifie mounts: Six tenths re she here. Sixty hunreths re she here. Wht o you notie? Sixty hunreths n six tenths hve the sme vlue Chek tht the ove sttement is true y shing the mounts. Are they the sme? Yes tenths tenths tenths tenths 0 hunreths 0 hunreths 0 hunreths 0 hunreths F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

21 Frtions, eimls n perentges tenths n hunreths Complete these sttements. The first one hs een one for you. This is 00 It n e renme s: 0 n 00 This is 00 It n e renme s: 0 n 00 This is 00 It n e renme s: n 0 00 e This is 00 It n e renme s: 0 n 00 This represents wholes n 00 It n e renme s: wholes, 0 n 00 Complete the missing informtion: _ _ F Copyright P Lerning Frtions, Deimls n Perentges SERIES TOPIC

22 Frtions, eimls n perentges ple vlue to thousnths A thousnth is tenth of hunreth. Units Tenths Hunreths Thousnths This numer hs units, tenths, hunreths n thousnths. Write these numers in the ple vlue hrt: Thousns Hunres Tens Units Tenths Hunreths Thousnths tens, units n tenths hunres, tens, units, tenths n hunreths tens, tenths n thousnths 0 0 hunres, tenths, hunreths n thousnths 0 0 e units, tenths n hunreths f units, tenths n hunreths g tens, units, hunreths n thousnths 0 h thousnths Answer true or flse to the following questions. Sore 0. points for eh orret nswer. T or F Sore The vlue of in. is hunreths. The vlue of in. is tens. The vlue of in 0. is hunreths. Thoms thought of eiml numer etween. n.. The numer oul hve een.. e The vlue of in. is thousnths. F T F T T f. is tens, units n hunreths. F Totl 0 F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

23 Frtions, eimls n perentges ple vlue to thousnths When ompring n orering eimls, the ple vlue of igit is ruil. The further the igit is to the left, the greter its vlue. Even though one thousnth souns ig, it is tully very smll. Rememer, one thousnth is just single piee of whole ivie into thousn prts. One tenth is tully one hunre times igger thn one thousnth. Whih is igger? Cirle the orret nswer: 0. or or tenths. or 0 or 0. e or 0. f or 0.0 Use < or > or to show the reltionship etween the two numers: > <.0. e f.0. > < This hrt shows the vitl sttistis of some Roosters Footll Clu plyers. Nme Height Weight Lnky.0 m.0 kg Crusher. m 0. kg Crumer. m. kg Nugget. m. kg Stomper. m. kg Whle.0 m. kg Twinkle Toes. m. m. kg Who is tllest? Who is shortest? Lnky tllest Crumer shortest Put these plyers in orer of lightest to heviest: Crumer, Stomper, Nugget: Crumer (. kg), Nugget (. kg), Stomper (. kg) Who o you wnt to throw the ll over the other plyers? (It woul help to e relly tll.) Lnky n Whle Who woul you lest like to hve tkle you? Why? Whle he is the heviest. e Twinkle Toes twirle out of the lu efore his height ws mesure. We know he is tller thn Crumer n shorter thn Nugget. Wht oul his height e? A it to the tle. F Copyright P Lerning Frtions, Deimls n Perentges SERIES TOPIC

24 Frtions, eimls n perentges perentges Perent mens prt per hunre n is expresse using the symol %. Here, 0% hs een she grey. It is the sme s 0 hunreths % Think of t lest five times you see the % sign or use perentges: Answers will vry. Fill in the missing vlues n she the gris: % 0. 0 % 0. 0% 0. % e f g h % % % % Are these sttements orret? % is greter thn 0. True One qurter is the sme s 0% Flse % is greter thn 0. Flse 0. is equivlent to Flse e You sore 00% on test. Your frien sores 0/0. You oth reeive the sme sore. True F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

25 Frtions, eimls n perentges perentges It is useful to know some ommon perentges suh s %, 0% or %. She the gris n show the following frtions y ompleting the missing informtion: 0. % % 0. % % She these shpes to show the following perentges: 0% % % e f 00% 0% % Jmes goes on holiy. He hs 00 spening money n spens it s outline elow. _ Show this on the pie grph n lel eh setion of the pie with the orret perentge: l on ries l on snks l on new triners (his prents refuse to py for them s he h sworn lk n lue he h pke everything. How rue...) l on souvenirs % souvenirs % snks % ries % triners F Copyright P Lerning Frtions, Deimls n Perentges SERIES TOPIC

26 Mth n snp pply Getting rey This is gme for or more plyers. You will re ginst eh other to ome up with equivlent frtions, eimls or perentges to mth those on rs. You ll nee one opy of this pge n one opy of pge etween you. opy Wht to o Cut out the plying rs, mix them up n put them fe own in pile. Cut out the lnk rs on pge n ivie them etween the two of you. Mke sure you oth hve penil eh. Turn over the first plying r. Both plyers write n equivlent frtion, eiml or perentge to mth it on one of the lnk rs n over the plying r s quikly s possile. For exmple, the plying r my sy 0% you oul write or 0 or The first person to over the r with orret mth wins n tkes the pir. The plyer t the en of the gme with the most rs is the winner. Plying Crs 00 % % % 0. F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

27 Mth n snp pply Blnk rs opy F Copyright P Lerning Frtions, Deimls n Perentges SERIES TOPIC

28 Clulting ing n sutrting frtions with like enomintors I te of ke for rekfst. Then I te nother How mny qurters i I et ltogether? + for lunh. She the shpes to help you nswer the prolems: Try these. Drw some igrms if tht will help you Write ition frtion sentenes for the following prolems. Write your nswers: of the kis in Biley s lss plye netll t plytime. of the kis plye footll. of the kis st roun n htte. Wht frtion of the lss plye sport? + Josh spent of his poket money t the tuk shop n uying reits for his gme. Write frtion sentene to show the frtion he spent. + Look t the prolem +. Why oes the sty s why isn t it +? When we frtions, we only the numertors. The enomintors on t hnge euse we hve not hnge the wy the whole hs een split. F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

29 Clulting ing n sutrting frtions with like enomintors I h of ke in the frige. I te. I h left. Fin nswers to these sutrtion prolems. The first one hs een one for you e f Use the igrms to help you solve these prolems: Mrit ut her irthy ke into equl slies n te of them stright wy. Wht frtion ws left? Sm plye footll gme. He plye golie for qurter of the gme n in ttk for the rest. Wht frtion of the gme i he spen in ttk? Jint spent of her poket money on hoolte n mgzine. Wht frtion i she hve left? of it on Use the numer lines to help you work out the nswers to these prolems: F Copyright P Lerning Frtions, Deimls n Perentges SERIES TOPIC

30 Clulting ing n sutrting frtions to n from whole Aing frtions to whole numers is simple proess. + + A these frtions n whole numers: e + f + g + h + i + How o we sutrt frtions from whole? We renme the wholes to mke it simpler. Look t the prolem. How mny re in whole? There re Now the prolem is esier: in whole. Renme the wholes s frtions n use the igrms to help you solve these prolems: e f F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

31 Clulting ing n sutrting frtions Wht oul the missing numers e? Crete two ifferent options for eh: + + Answers will vry Answers will vry. Answers will vry. Solve these prolems. Drw igrms if they help: You hve pkets of isuits. One frien ets pket, nother ets n nother ets. Wht frtion o you hve left? Wht frtions o you know tht hve ifferene of? Now I oul lso use_ equivlent frtions or _ improper frtions here Answers will vry. F Copyright P Lerning Frtions, Deimls n Perentges SERIES TOPIC

32 Clulting ing eiml frtions How o we eiml frtions using written strtegy? We rrnge the numers so the ple vlues line up n then we strt with the smllest vlue. We first the tenths. tenths n tenths is tenths. We renme this s unit n tenths. We write the in the tenths olumn n move the unit to the units olumn. Then we the units Knowing how to renme is useful skill when ing eiml frtions. Prtise your renming skills _ here y olour oing the mthing oxes: tenths 0 tenths hunreths tenths hunreths units n tenths units n tenths hunreths tenths tenth n hunreths unit unit n tenths units, tenth n hunreths tenths n hunreths A these eiml frtions: e. f Now try these. Strt with the hunreths n rememer to renme if neessry: F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

33 Clulting ing eiml frtions Use mentl or written strtegy of your hoie to solve these prolems: A.0 n. A. n We n lso use our mentl_ ition strtegies when_ ing eiml frtions. Jk sore. for his first ive n. for his seon. Wht ws his totl sore? Kte ought movie tiket osting $.0 n rink/ poporn omo osting.. How muh i she spen in totl? This is smple of the menu t Lur s Lunhes. Br orers ornish psty & sl, uket of hot hips n n ornge juie. How muh will this ost him?. Angelin goes wil n orers tun roll, ottle of wter n piee of fruit. Wht will this ost her?. Choose your own lunh. Itemise your list n lulte the totl vlue of your orer. Sl snwih. Tun roll.0 Hot hips. Cornish psty & sl. Fruit.0 Stirfry nooles. Slurpee. Ornge juie. Bottle of wter. Cho or nn muffin. Answers will vry. F Copyright P Lerning Frtions, Deimls n Perentges SERIES TOPIC

34 Clulting sutrting eiml frtions How o we sutrt eiml frtions using written strtegy? We rrnge the numers so the ple vlues line up n then we strt with the smllest vlue. We first sutrt the tenths. We hve tenths, n we sutrt tenths from this? No, so we renme unit s 0 tenths. Now we hve tenths. tenths sutrt tenths is tenths. We hve units, n we sutrt units? Yes, the nswer is unit.... Solve these sutrtion prolems: e. f Now try these. Strt with the hunreths n rememer to renme if neessry: Sometimes we hve to work with numers tht hve ifferent mount of igits suh s.. When this hppens, we renme. tenths eomes 0 hunreths:.0. Renme these prolems n solve: F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

35 Clulting sutrting eiml frtions Use mentl or written strtegy of your hoie to solve these prolems:.... We n lso use our mentl_ strtegies when sutrting_ eiml frtions... In Jesse Owens roke the long jump reor with lep of.0 m. His reor stoo for yers until fellow Amerin, Rlph Boston lept. m. Wht i he et Jesse s reor y? The 00 m sprint reor is hel y Jmin Usin Bolt, with time of. se. Asf Powell nere tht reor month lter, with time of. se. Wht is the ifferene etween their times? How muh o you think Powell wishes he h mnge to go just t fster? 0. m 0.0 se Belle s netll tem mesure their heights n entere them _ on the hrt. Wht is the ifferene in heights etween: Suzy n Luy? Belle s Beuties Suzy. m 0. m Ti. m Gre. m Ti n Ntsh? Mriett. m Mison. m 0. m Luy. m Belle. m Nin n Belle? Ntsh. m Donn. m 0.0 m Nin. m The tllest n shortest girl? 0. m F Copyright P Lerning Frtions, Deimls n Perentges SERIES TOPIC

36 You ut, I hoose solve Getting rey You n your frien hve een ske to tten te prty. Your host, Mr Htter, hs me hoolte lok ke for the festivities, ut lerly he got little mixe up with his numers. It must hve een ll those pre-prty nerves, or quite possily the punh. Wht to o Anywy, he hs ske you to ut the ke into piees so tht eh of you gets piee with the numers ing to the sme totl. How o you o it? Show your uts on the lok ke elow. Eh piee totls Work out wht frtion of the ke eh of you reeive. I shoul wrn you, Mr Htter wnts the iggest piee. I reeive my frien reeives n Mr Htter reeives F SERIES TOPIC Frtions, Deimls n Perentges Copyright P Lerning

37 Frtions Nme Wht frtion of eh shpe is she? She the following to show: e Wht frtion of eh group is outsie the ox? Wht is: of of of of Series F Topi Assessment Copyright P Lerning

38 Frtions Nme Use the frtion strips ove to help nswer the following: Cirle the lrger frtion Cirle the lrger frtion 0 Cirle the smller frtion Cirle the smller frtion e Put these frtions in orer from smllest to lrgest: Are these sttements true or flse? is less thn 0 is the sme s is less thn 0 is the sme s 0 Skills Not yet Kin of Got it Reognises, nmes n moels ommon frtions of shpes Reognises, nmes n moels ommon frtions of olletions Compres n orers ommon frtions using visul is Series F Topi Assessment Copyright P Lerning

39 Frtions Nme Wht frtion of eh shpe is she? She the following to show: Shings will vry. e Wht frtion of eh group is outsie the ox? 0 or Wht is: of of of of Series F Topi Assessment Copyright P Lerning

40 Frtions Nme Use the frtion strips ove to help nswer the following: Cirle the lrger frtion Cirle the lrger frtion 0 Cirle the smller frtion Cirle the smller frtion e Put these frtions in orer from smllest to lrgest: Are these sttements true or flse? is less thn Flse 0 is the sme s True is less thn 0 True is the sme s 0 Flse Skills Not yet Kin of Got it Reognises, nmes n moels ommon frtions of shpes Reognises, nmes n moels ommon frtions of olletions Compres n orers ommon frtions using visul is Series F Topi Assessment Copyright P Lerning

41 Copyright P Lerning Series F Topi Assessment These prolems hve een nswere. Tik the ones tht hve een nswere orretly: Write the equivlent frtion for eh of these: Types of frtions Nme Wht re equivlent frtions? Explin using the frtions n. You my lso rw igrms: Use the frtions strips ove to help you nswer the following. Write true or flse for eh question: is equivlent to... is equivlent to... is equivlent to... is equivlent to...

42 Types of frtions Nme Answer true or flse to the following: is mixe numer... is n improper frtion... is n improper frtion... Complete the numer lines y filling in the oxes. The mixe numerls go on the ottom n the improper frtions go on the top: 0 Use the numer line in Question to help you nswer the following: Write the mixe numerl tht represents Write the improper frtion tht represents Write the mixe numerl tht represents Write the improper frtion tht represents Express these frtions s mixe numerl n s n improper frtion: Skills Not yet Kin of Got it Reognises, nmes n moels simple equivlent frtions Reognises, nmes n moels mixe numerls n improper frtions Uses igrms, frtion strips n numer lines to represent frtions 0 Series F Topi Assessment Copyright P Lerning

43 Types of frtions Nme Wht re equivlent frtions? Explin using the frtions n. You my lso rw igrms: Answers will vry. Equivlent frtions re the sme. Look t: They re the sme mount. Write the equivlent frtion for eh of these: These prolems hve een nswere. Tik the ones tht hve een nswere orretly: Use the frtions strips ove to help you nswer the following. Write true or flse for eh question: is equivlent to... True is equivlent to... Flse is equivlent to... Flse is equivlent to... True Series F Topi Assessment Copyright P Lerning

44 Types of frtions Nme Answer true or flse to the following: is mixe numer... True is n improper frtion... Flse is n improper frtion... True Complete the numer lines y filling in the oxes. The mixe numerls go on the ottom n the improper frtions go on the top: 0 0 Use the numer line in Question to help you nswer the following: Write the mixe numerl tht represents Write the improper frtion tht represents Write the mixe numerl tht represents Write the improper frtion tht represents Express these frtions s mixe numerl n s n improper frtion: or Skills Not yet Kin of Got it Reognises, nmes n moels simple equivlent frtions Reognises, nmes n moels mixe numerls n improper frtions Uses igrms, frtion strips n numer lines to represent frtions Series F Topi Assessment Copyright P Lerning

45 Frtions, eimls n perentges Nme Expresss the she mounts s oth frtions n eimls: She the frtion strips to mth the frtion or eiml: 0. 0 Express these mounts s oth frtions n eimls: Cirle the true sttements: This is twenty-five hunreths. It n lso e nme s two tenths n five hunreths. This is seventy-five hunreths. It n lso e nme s seven tenths n five hunreths. This is sixteen hunreths. This is written s.. Cirle the lrger numer in eh pir: tenths Series F Topi Assessment Copyright P Lerning

46 Frtions, eimls n perentges Nme Write these numers in the ple vlue hrt: Thousns Hunres Tens Units Tenths Hunreths Thousnths tens, units n tenths hunres, tens, units, tenths n hunreths units, tenths n thousnths hunres, tenths, hunreths n thousnths 0 0 e units, tenths n hunreths She the following frtions n fill in the missing informtion: 0. % 0. % 0. %. % Answer the following: A sle offers % off n item osting 00. Wht is the prie reution?... A sle offers 0% off n item osting 0. How muh oes the item now ost?... Wht is 0% of 00?... Skills Not yet Kin of Got it Reognises, nmes n moels tenths Reognises, nmes n moels hunreths Compres n orers eimls to eiml ples Links simple ommon frtions with eimls n perentges Clultes simple perentges 0%, % n 0% Series F Topi Assessment Copyright P Lerning

47 Frtions, eimls n perentges Nme Expresss the she mounts s oth frtions n eimls: She the frtion strips to mth the frtion or eiml: 0. 0 Express these mounts s oth frtions n eimls: or Cirle the true sttements: This is twenty-five hunreths. It n lso e nme s two tenths n five hunreths. This is seventy-five hunreths. It n lso e nme s seven tenths n five hunreths. This is sixteen hunreths. This is written s.. Cirle the lrger numer in eh pir: tenths Series F Topi Assessment Copyright P Lerning

48 Frtions, eimls n perentges Nme Write these numers in the ple vlue hrt: Thousns Hunres Tens Units Tenths Hunreths Thousnths tens, units n tenths hunres, tens, units, tenths n hunreths units, tenths n thousnths 0 hunres, tenths, hunreths n thousnths 0 0 e units, tenths n hunreths She the following frtions n fill in the missing informtion: 0. % % 0. % % or 0. or Answer the following: A sle offers % off n item osting 00. Wht is the prie reution?... A sle offers 0% off n item osting 0. How muh oes the item now ost?... Wht is 0% of 00?... 0 Skills Not yet Kin of Got it Reognises, nmes n moels tenths Reognises, nmes n moels hunreths Compres n orers eimls to eiml ples Links simple ommon frtions with eimls n perentges Clultes simple perentges 0%, % n 0% Series F Topi Assessment Copyright P Lerning

49 Clulting Nme A these frtions: e + + f + + Use the shpes to help you solve these sutrtion prolems: Use the numer lines to help you work out the nswers to these prolems: Wht is? Use frtions n wors or igrms to explin your nswer: Series F Topi Assessment Copyright P Lerning

50 Clulting Nme A these eiml frtions: e. f Solve these sutrtion prolems: e. f.... Solve these prolems using mentl or written strtegy: Mrisk hs. in her piggy nk. She spens. of this. How muh money oes she hve left? Joe hs.. His grn gives him. for mowing the lwns. How muh money oes he hve now? Skills Not yet Kin of Got it As frtions with like enomintors Sutrts frtions with like enomintors Sutrts unit frtion from whole numer As eiml numers to eiml ples with renming Sutrts eiml numers to eiml ples with renming Series F Topi Assessment Copyright P Lerning

51 Clulting Nme A these frtions: e + + f Use the shpes to help you solve these sutrtion prolems: Use the numer lines to help you work out the nswers to these prolems: Wht is? Use frtions n wors or igrms to explin your nswer: or Series F Topi Assessment Copyright P Lerning

52 Clulting Nme A these eiml frtions: e. f Solve these sutrtion prolems: e. f Solve these prolems using mentl or written strtegy: Strtegies will vry. Mrisk hs. in her piggy nk. She spens. of this. How muh money oes she hve left?... 0 left Joe hs.. His grn gives him. for mowing the lwns. How muh money oes he hve now? Skills Not yet Kin of Got it As frtions with like enomintors Sutrts frtions with like enomintors Sutrts unit frtion from whole numer As eiml numers to eiml ples with renming Sutrts eiml numers to eiml ples with renming 0 Series F Topi Assessment Copyright P Lerning

53 Series F Frtions, Deimls n Perentges 00 Primry Frmework Core Ojetives Topi Frtions Topi Types of _ frtions Topi Frtions, eimls n perentges Topi Clulting Using n pplying mthemtis Solve one- n two-step prolems involving whole numers n eimls n ll four opertions, hoosing n using pproprite lultion strtegies, inluing lultor use Counting n unerstning numer Express smller whole numer s frtion of lrger one, e.g. reognise tht out of is, fin equivlent frtions; relte frtions to their eiml representtions Clulting Fin frtions using ivision; n perentges of numers n quntities Using n pplying mthemtis Solve one- n two-step prolems involving whole numers n eimls n ll four opertions, hoosing n using pproprite lultion strtegies, inluing lultor use Counting n unerstning numer Express smller whole numer s frtion of lrger one, e.g. reognise tht out of is, fin equivlent frtions; relte frtions to their eiml representtions Clulting Fin frtions using ivision; n perentges of numers n quntities Using n pplying mthemtis Solve one- n two-step prolems involving whole numers n eimls n ll four opertions, hoosing n using pproprite lultion strtegies, inluing lultor use Counting n unerstning numer Explin wht eh igit represents in whole numers n eimls with up to two ples, n prtition, roun n orer these numers Express smller whole numer s frtion of lrger one, e.g. reognise tht out of is, fin equivlent frtions; relte frtions to their eiml representtions Unerstn perentge s the numer of prts in every 00 n express tenths n hunreths s perentges Clulting Use effiient methos to n sutrt whole numers n eimls with up to two ples Fin frtions using ivision; n perentges of numers n quntities Using n pplying mthemtis Solve one- n two-step prolems involving whole numers n eimls n ll four opertions, hoosing n using pproprite lultion strtegies, inluing lultor use Knowing n using numer fts Use knowlege of ple vlue n ition n sutrtion to erive sums n ifferenes, oules n hlves of eimls, e.g.. ±., hlve., oule 0. Counting n unerstning numer Express smller whole numer s frtion of lrger one, e.g. reognise tht out of is, fin equivlent frtions; relte frtions to their eiml representtions Clulting Fin frtions using ivision; n perentges of numers n quntities Series F Ojetives Copyright P Lerning

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