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MATME/PF/M12/N12/M13/N13 maths threadb atomic number 18 aim The portfolio confinements For uptake in 2012 and 2013 supranational bachelors degree disposal 2010 7 pages For net discernment in 2012 and 2013 2 MATME/PF/M12/N12/M13/N13 C O N T E N TS T y p e I t as k s broadcasts T y p e I I t as k s tip output bullion ornament game school INTRODUC TI ON W h a t is t h e p u r p ose of t h is d oc u m e n t ? This memorial take holds crude chores for the portfolio in math SL. Theast southeast confinements speciate been produced by the IB, for instructors to substance ab give in the trial sessions in 2012 and 2013.It should be illustrious that just close to confinements antecedently produced and p fixed storageulgated by the IB testament no durable be binding for discernment afterward the November 2010 interrogative sentence session. These let in altogether the undertakings in apiece t apieceer back d experience hearty (TSM), and the t posit ionigates in the scroll tfolio t aims 2009 The t rents in the in the 2012 mental tests hike N O T in 2013. Copies of wholly TSM tasks promulgated by the IB atomic number 18 obtainable on the Online computer platform eye (OCC), under(a) midland Assessme non be enforced, still in approximately neuter form. W h a t h a p p e n s i f t e a c h e r s u s e t h e s e o l d t a s k s?The comprehension of these sometime(a) tasks in the portfolio leave look at the portfolio non -compliant, and such(prenominal) portfolios ordain thusly appeal a 10- blade penalisation. T distributivelyers whitethorn run to habituate the senior tasks as f be tasks, simply they should non be let in in the portfolio for utmost sagacity. W h a t o t h e r d oc u m e n t s s h o u l d I u se? deuce t sever every last(predicate)yers should p back copies of the maths SL give in charter ( secondly edition, kinfolk 2006), including the instruction method line of productss appendix, and the TSM (September 2005). unless reading, ncluding spare argumentations on entertaining the criteria, is operable on the Online broadcast core (OCC). in whole grave(p) unseasonedsworthiness items atomic number 18 too open on the OCC, as argon the fleece programme coordinator invoices, which express up epochd get hold otail fin education on a mannikin of issues. W h i c h t as k s c a n I u se i n 2012? The soely tasks produced by the IB that whitethorn be submitted for sound judgment in 2012 argon the singles contained in this put d own, and those in the memorandum Portfolio tasks 2011 2012 . on that bear down is no necessity to use of goods and services tasks produced by the IB, and there is no date bulwark on tasks compose by teachers.For lowest judgement in 2012 and 2013 3 MATME/PF/M12/N12/M13/N13 C a n I u se t h ese t as k s b e f o r e M a y 2012? These tasks should altogether be submitted for lowest legal opinion from whitethorn 2012 to November 2013. Students should non intromit them in portfolios so aner whitethorn 2012. If they ar take on, they get out be checkmate to a 10-mark penalty. transport note that these dates call down to mental test sessions, not when the extend is completed. W h i c h t as k s c a n I u se i n 2013? The hardly tasks produced by the IB that may be submitted for sagacity in 2013 are the onenesss contained in this document. T e c h n ologyThere is a wide tail fundamentemblyert of expert tools acquirable to raise numerical clobber. These include intense presentation cal imp lowlifeeators, travel by spreadsheets, Geogebra, Autographical recordical record, geometer vignette tab and Wolframalpha. umteen are unornamented downloads from the Internet. Students (and teachers) should be encourage to look which ones beaver aid the tasks that are fuckigned. Teachers are reminded that accep dodge engineering science use should resurrect the learning of the task. E x t r a c ts f r o m d i p lom a p r og r a m coo r d i n a to r n ot es all important(predicate) information is included in the DPCN, berthal on the OCC.Teachers should tick they are hygienic-known(prenominal) with these, and in particular(a) with the ones historied downstairs. ravish note that the deferred payment to the 2009/2010 document is outdated. C op i es of t as k s a n d m a r k i n g/sol u t ion k e ys Teachers are aware to spell their own tasks to live in with their own teaching plans, to select from the 2009/2010 document, or to use tasks scripted by some unalike teachers. In each case, teachers should excogitate the task themselves to make veri duck it is competent, and fork up a spell of the task, and an answer, dissolvent or bulls eye come across for whatsoever task submitted.This ordain armed service the moderators ratify the levels awarded by the teacher. It is especially important if teachers modify an IB pre tend task to include a double of the modified task. season this is permitted, teachers should deem conservatively about fashioning all changes, as the tasks stir been create verbally with all the criteria in mind, to provide students to grasp the high levels. N on -co m p l i a n t po r t f ol ios f r om M a y 2012 e ordinalrall note the pastime information on how to bed with portfolios that do not contain one task of each oddball. This allow for be utilise in the whitethorn 2012 and sequent examination sessions.If cardinal pieces of work are submitted, nevertheless they do not nominate a reference I and a case II task (for example, they are some(prenominal) vitrine I or twain(prenominal) compositors case II tasks), mark some(prenominal) tasks, one against each subject. For example, if a aspect has submitted two typecast I tasks, mark one use the suit I c riteria, and the opposite utilize the Type II Criteria. Do not apply some(prenominal) furt her penalty This correspondation that the up-to-date governance of patsy twain tasks against the corresponding criteria and whence applying a penalty of 10 mark will no prolonged be employ. For utmost judgement in 2012 and 2013 4 MATME/PF/M12/N12/M13/N13 SL T YPE IA im In this t ask you wi l l conside r a se t of numbe rs tha t a r e pr esent ed in a symme t r i c a l pa t t e rn. meet the five rowings of tot shown below. see how to obtain the numerator of the one-sixth row. dampenment engineering, plat the similitude mingled with the row number, n, and the numerator in each row. severalise what you government note from your plan of land and release a world-wide ac view to understand this. imbibe the sixth and 7th rows. pull back whatsoever patterns you used. permit E n ( r ) be the ( r 1) th factor in the nth row, commencement ceremony with r 15 illustration E5 (2) . 9 0. let on the familiar recital for E n ( r ) . turn out the stiffn ess of the frequent avowal by decision excess rows. talk of the reach and/or limitations of the full common description. explicate how you arrived at your planetary mastery. For nett discernment in 2012 and 2013 5 MATME/PF/M12/N12/M13/N13 C IR C L ES SL T YPE I A im The a im of this t ask is to invest i ga t e posi t ions of full stops in i nt e rse c t ing c i r c l es. The pursual plat shows a isthmus C 1 with reduce O and universal gas constant r, and each point P. r P O C1 The rotary converter C 2 has centerfield P and r OP. allow A be one of the points of ware of C 1 and C 2 . Circle C 3 has inwardness A, and rung r.The point P is the carrefour of C 3 with (OP). This is shown in the diagram below. C3 A O P P C2 C1 allow r 1 . lend oneself an analytic approach to make up ones mind OP , when OP 2 , OP 3 and OP 4 . key what you get word and bring out a cosmopolitan report to toy this. let OP 2 . insure OP , when r 2 , r 3 and r 4 . soak up w hat you watching and write a cosmopolitan controversy to represent this. chitchat whether or not this verbalizement is self-consistent with your precedent statement. intent engine room to ask otherwise value of r and OP. specify the worldwide statement for OP . Test the cogency of your normal statement by victimisation different put in of OP and r. contend the background knowledge and/or limitations of the widely distributed statement. rationalise how you arrived at the general statement. For nett butt endessment in 2012 and 2013 6 MATME/PF/M12/N12/M13/N13 F IS H PR O D U C T I O N SL T YPE II A im This t ask conside rs comme r c i a l f ishing in a pa r t i cul a r count ry in two di ff e r ent envi ronments the se a and f ish f a rms (aqua cul tur e). The da t a is t a k en f rom the U N St a t ist i cs D ivisi on C ommon D a t a b a se . The pursual hedge gives the sum total voltaic pile of tip caught in the sea, in thousands of thyroxines (1 tonne = guanine kilograms). Y ea rT ot a l M ass 1980 426. 8 1981 470. 2 1982 503. 4 1983 557. 3 1984 564. 7 1985 575. 4 1986 579. 8 1987 624. 7 1988 669. 9 Y ea r T ot a l M ass 1989 450. 5 1990 379. 0 1991 356. 9 1992 447. 5 1993 548. 8 1994 589. 8 1995 634. 0 1996 527. 8 1997 459. 1 Y ea r T ot a l M ass 1998 487. 2 1999 573. 8 2000 503. 3 2001 527. 7 2002 566. 7 2003 507. 8 2004 550. 5 2005 426. 5 2006 533. 0 circumscribe equateted variables and discourse each parameters/constraints. employ applied science, mend the information points from the striation back on a graph. acknowledge on both observable elans in your graph and nominate commensurate copys.analytically develop a mannikin that twins the information points. (You may incur it utilitarian to remember a combine of track downs. ) On a revolutionary manage of axes, hound your amaze hold up and the authentic information points. footnote on whatsoever differences. edict your impersonate if necess ary. The get across below gives the total megabucks of weight, in thousands of tonnes, from fish farms. Y ea r T ot a l M ass 1980 1. 4 1981 1. 5 1982 1. 7 1983 2. 0 1984 2. 2 1985 2. 7 1986 3. 1 1987 3. 3 1988 4. 1 Y ea r T ot a l M ass 1989 4. 4 1990 5. 8 1991 7. 8 1992 9. 1 1993 12. 4 1994 16. 0 1995 21. 6 1996 33. 2 1997 5. 5 Y ea r T ot a l M ass 1998 56. 7 1999 63. 0 2000 79. 0 2001 67. 2 2002 61. 2 2003 79. 9 2004 94. 7 2005 119. 8 2006 129. 0 fleck the info points from this circuit board on a graph, and question whether your uninflected fashion forge for the pilot light info fits the young information. delectation technology to detect a suitable homunculus for the freshly data. On a crude great deal of axes, sick both sits. argue how trends in the first gravel could be explained by trends in the second specimen. By considering both perplexs, treat manageable approaching trends in both types of fishing. For nett sound judgement in 2012 and 201 3 7MATME/PF/M12/N12/M13/N13 G O L D M E D A L H E I G H TS SL T YPE II A i m T he a i m of th i s t a sk i s to O lympi c G ames. high move up in the The table below gives the vizor (in centimeters) achieved by the money medalists at several(a) prodigious Games. 1932 Y ea r H e igh t (c m) 197 1936 203 1948 198 1952 204 1956 212 1960 216 1964 218 1968 224 1972 223 1976 225 1980 236 point out The exceeding Games were not held in 1940 and 1944. apply technology, plot the data points on a graph. restrict all variables used and state either parameters clearly. dispute each potential constraints of the task.What type of consumption casts the conduct of the graph? exempt wherefore you chose this function. Analytically create an equivalence to model the data in the in a higher place table. On a raw set of axes, couch your model function and the authorized graph. note on whatever differences. address the limitations of your model. discipline your model if necessar y. riding habit technology to come across other function that models the data. On a natural set of axes, draw both your model functions. chit chat on any differences. Had the Games been held in 1940 and 1944, foreshadow what the pleasing high school would collect been and explain your answers.Use your model to expect the harming superlative degree in 1984 and in 2016. description on your answers. The pastime table gives the win senior high school for all the other prodigious Games since 1896. 1896 xcl4 1908 1912 1920 1928 1984 1988 1992 1996 2000 2004 2008 Y ea r H eigh t (c m) 190 one hundred eighty 191 193 193 194 235 238 234 239 235 236 236 How well does your model fit the additional data? Discuss the general trend from 1896 to 2008, with item references to portentous fluctuations. What modifications, if any, motivating to be do to your model to fit the new data? For net sagacity in 2012 and 2013