HP (Hewlett-Packard) NW280-1001 manuel d'utilisation

i HP Pr ime Gr aphing C alc ulator Quic k S tart Guide Ed i t io n 1 HP P art Number: NW2 8 0 - 1 00 1[...]

ii ii Keyb oa rd Le g en d The table and photo on the follo wing page illu strate a f ew of th e man y featur es av ailable on the HP Pr ime Graphing Calc ulator . Thes e feature s, as w ell as other featur es of the calc ulator , are disc uss ed in this quick s tar t gui de. F or a complete list o f fe atur es, refe r t o t he HP Prime Gr aphing C[...]

iii iii HP Prime: K ey board Legend Number Fea ture 1 L CD and touch-sc reen: 3 20 × 2 40 pi xels 2 Conte xt-sensitive t ouch-button menu 3 HP Apps k e ys 4 Home vi ew and Home pre fer en ce s etti ngs 5 Common math and s cie nce functions 6 Alpha and Shift k ey s 7 On, C ancel and Off ke y 8 Lis t, matr ix , progr am, and note catalogs 9 Last An [...]

C C reate d azzling grap hs w i t h t he Ad v an ced Grap hing a pp[...]

v v Contents 1. Getting Started .... ........................................................... .......................................... 1 Charging the Battery ............ .................... .................... .................... .................... ............... ....... 2 Turning On and Off ................ .................... .......[...]

vi vi Statistics 2Var App ......... .................... .................... ................. .................... .................... .. ....... 37 Inference App ............. .................... .................. .................... ................. .................... ...... .... .... 39 DataStreamer App ...... .................... .....[...]

1 1 1 Get ting Star ted The HP Pr ime Gra phing Calculator is an eas y -to -us e yet po we rful graphing calc ulator designed for secondary mathematics educati on and be y ond. It offer s hundr eds of functi ons, and incl udes a comp uter algebr a sy stem (CAS) f or s ymb olic calc ulati ons. This qui ck start guide cov ers basic tasks, suc h as en[...]

2 2 • Bread-c rumb notation is used to r epre sent a selecti on fr om sub-menus or sub-sub-menus . For e xample , “Select Polynomial > Algebra > Quotient ” means f irst selec t Polynomial , then select Algebra , and finall y selec t Quotient . • Curs or ke y s are r epr esented b y = , , > , and < . Y ou use thes e k ey s to m[...]

3 3 Adap ter W arnin g • T o r educe the risk of electr ic shoc k or damage to equipment , only plug the wall ad apter int o an A C outlet that is easil y accessible at all times . • T o r educe other potential saf et y r isks, onl y use the wall adapter pro vi ded with the calc ulator , a r eplacement wall adapter pro vi ded by HP , or a wall [...]

4 4 Na vigat ion The HP Pr ime off ers two modes of na vigati on: b y touch and by k ey p r ess. In man y case s, y ou can tap on an i con, f ield , menu , or objec t to select (or des elect) it . F or ex ample , you can open the Functi on app by ta pping once on its icon in the Appli cation L ibrary . How ev er , to open the Applicati on Libr ary [...]

5 5 Alternati ve ly , yo u can just ta p the field or f ield label , and: • if the fie ld allow s you t o enter data o f yo ur choi ce, ta p it, e nter y our data, and ta p . • if the field allo ws y ou to c hoose an item fr om a menu , tap on it t w ice and se lect the item yo u want . • if the fie ld is a toggle fie ld—one that is either [...]

6 6 The e xamples in this gui de will illu strate the t extbook mode of entry . The or der in whic h items are ente red in te xtbook mode is the same in algebrai c mode. Onl y the appearance o f the entry is diff er ent. How ev er , th e or der of entr y in RPN mo de is different . If y ou pre fer to us e RPN, consult the User Guid e . Example To c[...]

7 7 Editing , Deleting , and Cl earing With an expr ession highligh ted in hist ory , tap . The e xpre ssion is copi ed to the entry line (as sho wn at the r ight). If you had meant t o enter , y ou can edit the cur ren t expr ession by mov ing the c ursor t o the righ t of the  , pre ssing C , and then typi ng 3. T o clear the entir e entry lin[...]

8 8 T o stor e your la st answ er in Home v aria ble A: AaE Y our stor ed value a ppears as sho wn to the r ight . If you then wanted to multipl y your s tored v alue by 5 , you co uld ent er: Aa s 5 E . Y ou can also c reate y our ow n var iables (both in Home vie w and in CAS v ie w) . F or e xample , enter ing 1 0 1 A Q A cE assi gns 1 0 1 to th[...]

9 9 Und er standin g the User Inter f ace Men u Item s The bottom of the dis play contai ns a menu of up to six items. Y ou choose an item b y tapping it o nce with y our fing er . The menu i tems chan ge dependin g on what scr een is show ing, or what item you last chose. Che c k Box es A chec k box enable s you s elect or dese lect a single optio[...]

10 10 Comp uter Alg ebra S y stem (CAS) The computer algebr a sy stem (CAS) enable s you to perform s ymbol ic calc ulations. B y d e fault , th e CA S wor ks i n e xact mode . On the other hand, non-CAS calc ulations , such as those pe rformed in Ho me view or by a n app, a r e nu me ric al ca lcu la ti on s a nd of te n appr ox imations limited b[...]

11 11 CAS calc ulations: Some example s Suppose you want to find the quotient when x 3 + 2 x 2 + 3 x +4 is div ide d by – x + 2 . 1. P r e s s K to open the CA S. 2. P r e s s D t o display the T oolbo x menus . 3 . If the CAS me nu is not open , tap . Note that the CA S func tions ar e gro uped by category . When you s elect a category , the fu [...]

12 12 6. Pres s E to s ee the result: – x 2 – 4 x –1 1 . Note that the input and r esult appear in histor y , wher e y ou can select the m for r e -us e. W e will now r e -use the function to determine th e rem a in d er of the div ision . 7 . T ap on the f unction and the n tap . The ex pres sion is cop ied to the entry line . 8. Using the c[...]

13 13 2 HP Ap ps and t heir Vie w s HP Apps Much o f the functi onality of the HP Prime is pr ov ided in pack ages called HP apps . T he HP Prime come s with 1 8 HP apps: 1 2 dedicated to mathematical top ics or tasks, thr ee spec iali z ed Solv ers, and thr ee functi on Explorer s. Y ou launc h an app by f irst pr essi ng I (wh ich di spl ays th e[...]

14 14 The thr ee spec iali z ed Solv ers—outlined in T able 2 —are de signed to help y ou solv e pr oblems of a spec ific ty pe. Thr ee apps ar e spec ifi cally designed to help y ou e xplore the r elationship s between the value s of the paramet ers in a functi on a nd the shape of the gr aph of the functi on. See T able 3 belo w . Data persis[...]

15 15 Data sharing Using the supplied U SB cable, y ou can send an a pp fr om one HP Prime to another . It can be a built-in app or one y ou’v e c ustomi z ed. In f act , y ou can share with o ther HP Prime u sers ma n y o f the object s you create usin g your HP P r i me, such a s pro gram s, n otes, li sts, an d ma tric es. Note that the connec[...]

16 16 The si x primary app v iew s are illu strated belo w (using the F unction app as an e xample). Sym b o l i c Vi ew : Y This v ie w is primaril y u sed to defi ne the mathematical objec ts—such as e xpre ssions and open sent ences—that will be repr esented in the P lot and Numer ic v iew s. It is als o used to spec ify the statisti cal ana[...]

17 17 Gr aph ing Meth od s Numer ic V ie w: M This v ie w display s a table of ev aluations . It also enables y ou to enter specific v alues to be ev al uated. In most apps, this view eva lu at es ac co rdi ng to t he def initio ns spec if ied in the S ymboli c vi ew . It s erves a differ ent purpo se in other apps, such as the st atistics , spr ea[...]

18 18 3P r i m a r y A p p s This c hapter bri efly de scr ibe each pr imar y app , summari zing its major v ie ws and the func tionality av ailable in each v iew . These apps—and the Sol ver and Explor er apps—ar e descr ibed in detail in the User Guide . Note that all the primary v ariables entered in e xpr essions and open se ntences in thes[...]

19 19 Sym b ol i c V iew In S ymboli c vi ew ( Y ) y ou can enter up to ten symbolic def initions. For the F unction app , thes e are f unctions o f x . An e xample is 2 x 2 – 3 x + 4. The f unctions w ith a chec kmark against them w ill be plotted in Plot v iew and tabulated in Numer ic vi ew . E ach de finition als o has a color ed box t o the [...]

20 20 • : displa ys an in put box f or yo u to spec ify an x -value f or the trac ing c ursor . Y ou can also just e nter a n x -value . This displa ys the Go T o input bo x . Just ta p to confirm the value . This opti on pro vi des a quic k way to evaluate a f unction f or a particular x -v alue . • : opens the F unction men u, w ith options t[...]

21 21 The se cond page of the P lot Setup v ie w pr ov ides the f ollow ing opti ons: • Ax es : sho ws or hi des the axes • Labels : sho ws or hides the ax is labels (that is, the v alues of X Rng and Y Rng at the end of the axe s) • Gri d D ots : show s or hides gr id dots • Gri d L ine s : sho ws or hi des gri d lines • Cur so r : selec[...]

22 22 Numer ic Set up v ie w Press SM to dis play the Numer ic Setu p vie w . This v ie w enables y ou to configur e the appear ance of the data display ed in Numeri c vie w . The f ields ar e: • Num Start : the firs t value of X t o show in the independen t vari able column of the t able • Num Step : th e common difference (that is, increment)[...]

23 23 Sym b ol i c v iew The S ymboli c vi ew of the Adv anced Gr aphing a pp enables y ou to spec ify up to ten op en sentences, each e xp r essed in terms of x , y , both, or ne ither . Some ex amples ar e: The menu ite ms are the same as in the S ymbolic v ie w of the F unction app , ex cept that her e there is a butto n for Y as wel l a s f or [...]

24 24 Numer ic vi e w Pre ss M to display the Numer ic v ie w . F or var ious co mbinations of X and Y , Numer ic v iew sho ws w hether the open se ntence is satisfi ed. T he illustr ation at the ri ght sho ws that the open sent ence 2 x – 3 y ≤ 6 (defined as S2 in S ymboli c vie w: see abo ve) is satisf ied when X = 4. 5 and Y = 1 , but not wh[...]

25 25 Plo t S etu p Vi ew Pr ess SP to displa y the Plot Setup v iew . This v iew e nables yo u to confi gure the appear ance of the par ametri c graphs . This v ie w is similar to the P lot Setup v ie w of the F unction a pp (see page 20 ), e xcept that it also cont ains T Rng and T Step fields . These f ields enable y ou to spec ify the range and[...]

26 26 Pl ot Se tu p v iew Press SP to displa y the Pl ot Setup v ie w . This v ie w enables y ou to conf igure t he appearance o f the polar gr aphs. T his v iew is similar to the P lot Setup v iew o f the F unction a pp (see page 20 ) , e x cept that it als o contains  Rng and  Step field s. Th ese fiel ds enable y ou to spec ify the range a[...]

27 27 Plo t vi ew Pr ess P to display the P lot vi ew and see the gra phs of the sequence s selected in S y mbolic vi ew . T he func tionality here is the same as in the F unction P lot v iew , e xcept that ther e are no Fcn func tion s. Plo t S etu p vi ew Pres s SP to displa y the Plot S etup vi ew . T his vie w enables y ou to confi gure the app[...]

28 28 Note that ther e are on-scr een instruc tions to help yo u. F or exam ple, Hit Center means tap at the locati on wher e you w ant the c en te r of you r ci rcl e to be. A lways co n fir m yo u r i n te nt io n b y p res si n g E after tapp ing the scr een, and pr ess J when you hav e finished dr aw ing an objec t. T his deactiv ates the dra w[...]

29 29 • : for adding v ari ous polygons , such as a tr ia ngle , quadrilater al, sq uare , parallelogr am, e tc. • : for adding v ari ous curve s (such as a c irc le, e llipse , or hy pe rbola) and defining var ious plots y ou want to add to P lot vi ew (suc h as a functi on, par ametric , or polar plot) . F or ex ample, to dr aw y = 1/ x , tap[...]

30 30 Numer ic vi e w Numeric v ie w ( M ) enable s you t o do calculatio ns in the Geometr y app . The re sults display ed are d ynamic—if y ou manipulate an objec t in Plot v ie w , any calc ulations in Numeri c vi ew that r efer to that obj ect are a utomatically updated to r eflect the ne w pr operties of the manipulated object . T o continue[...]

31 31 Sprea dsheet App The spr eadsheet app pr ov ides a gr id of cells f or yo u to enter content (such a s numbers, te xt , expr essions , and so on) and to perform cer tain operations on what you enter . T o o pen the Spreadsheet app , press I and selec t Spread sheet . The app opens in Numer ic v iew . (Ther e is no Plo t or S ymboli c vie w .)[...]

32 32 A single for mula can add content to e very cell in a column or r ow . F or ex ample, mo ve to C (the heading cell for column C), enter S. SIN(Row) and press E . Eac h cell in the column is populated w ith the sine of the ce ll’s ro w number . A similar proces s enables y ou to populate ev ery cell in a ro w wi th the same form ula. Y ou ca[...]

33 33 Cells , ro ws , and columns can be named. T o name a cell, r ow , or column , go the cell , ro w header , or column header , ent er a name and tap . T he name can then be used in a for mula. C onsider the f ollow ing ex ample: 1. Select cell A (that is the header cell f or column A). 2 . Enter COST and tap . 3 . Select cell B (that is the hea[...]

34 34 • : d is pl ays a me nu for you t o ch oo se a co lu mn to so rt (wit h a fu r the r o pt ion to so rt i n as ce nd in g o r d esc en di ng ord er) . It appears onl y after you ha ve select ed the cells to sor t . • : display s a menu o f for matting options f or the selec ted cell, ro w , column, o r entir e spr eadsheet. T he formatting[...]

35 35 Statistic s 1V ar App The S tatistic s 1V ar app is desi gned for the stud y of uni var iate st atistics . It pr ov ides tools f or enter ing nume ric dat a, calc ul ating 1 -var iable summary statistic s, and plotting 1 -var iable statisti ca l gr aphs. The app can ex change data with the S tatistics 2V ar a pp and the S preadsh eet app (e x[...]

36 36 S ymbolic view Pr es s Y to displa y the Sy mbolic v ie w . Y ou can def ine up t o fi ve 1 -vari able analy ses (H1–H5), choo sing for eac h analy sis a data column and, optionall y , a fr equency column. F or the data column, you can enter either the name of a column ( D0 – D9 ) or a mathematical expr essi on inv olv ing the name of a c[...]

37 37 Statistic s 2V ar App The S tatistics 2V ar app is designed f or the stud y of biv ari ate statistic s. It pr ov ides tools f or enteri ng numer ical data, calculating 2 - v aria ble summar y st atistics , and cr eating 2 -var iable statis tical plots. The app can ex change data w ith the Statisti cs 1V ar app and the Spr eadsheet app (explai[...]

38 38 When spec ifying depe ndent and independent columns in the Sn fie lds, y ou can enter column names (e .g . C1 ) or mathe matical expr essi ons in terms o f column names (e.g . 2*C1 ). Pl ot vi ew Pr ess P t o display the Plot v ie w . T his vi ew displa y s the scatter plot f or each select ed analysis . T ap to display (or hide) the full men[...]

39 39 Infer ence App The Inf erence a pp pro vi des tools fo r infer ential statis tics , enabling you t o specify conf idence intervals and test h ypothese s. Summar y statis tics fr om any column in the Numer ic v iew o f the St atistics 1V ar or St atisti cs 2V ar app can be im ported into it . T o open the Infer ence app , pr ess I and selec t [...]

40 40 Ta p to s ee the confidence in terval or hy pothesis tes t r esults an d to return to the Num er ic vie w . Pr ess P to dis play the P lot v ie w . This v ie w displa ys the te st re sults or conf idence interval gra phically . Ta p to display the cr itical scor e against the test s core . Pr ess or = to dec reas e or incr ease the  -le [...]

41 41 • or : togg les the action of the cur sor ke ys between pan (that is, scr oll) and z o om . Zoom in or out hori z ontally on the str eams ev en while data is str eaming , effecti ve ly speeding th em up or slo wing them do wn . Scr oll v er ti cally to separate or cente r the str eams. • : turns os cilloscope mode on and off • or : star[...]

42 42 Solv e App The Solv e app enables you to define up to ten equa tions , e ach w ith as man y variables as you like . Y ou ca n sol ve a sing le equation f or one of its var iables , based on a seed value . Y ou ca n als o solv e a sy stem o f equations (linear or non-linear), agai n using seed v alues. T o open the Solv e app , pre ss I and se[...]

43 43 Plo t vi ew Y ou can plot only one equati on at a time in the Solv e app , so mak e sure that onl y one equatio n is selected in S ymboli c vi ew . T o display Plot v ie w , pre ss P . The le ft side and the ri ght side of the s elected equation ar e plotted as separ ate graphs . The v ariable that w as highlighted in Numeric vie w is take n [...]

44 44 • C/YR : the number o f compounding per iods pe r year • FV : the value at the end of the cash flo w • End : whether payment is made at th e beginning or end of each peri od • Gro up Si ze : number of pay ments p er gr oup (for an amort i z ation schedule) The men u items ar e: • : mov es the c ursor to the entry line wher e y ou ca[...]

45 45 Ex ample 2 T o continue the pr ev ious e xample , suppose y ou expect to sell the house after 1 0 years , repay ing the balance of the loan with a balloon pa yment . What w ill be the amount o f the balloon pay ment? T o solv e this problem y ou need to dis play the amorti z ation sc hedule for the loan . T ap . The amorti z ation sc hedule a[...]

46 46 Linear Solv er App The L inear Sol ver app sol ve s 2×2 and 3× 3 s ys tems of linear equations . T o open the L inear Solv er app, press I and se lect Linear Solver .T he Linear So lve r app has two page s: one for 2×2 sy stems and the other for 3×3 s ystems . By def ault , the 3×3 page is dis played on opening. Enter a value for the coe[...]

47 47 T riangle S olv er App This app calc ulates the lengths of si des and the siz es of angles in tri angles. T o open the T ri angle Solv er app , pres s I and s elect T riangle Sol ver . The lengths o f sides ar e repr esented b y a , b , and c , and the angle opposite eac h side is repr esented b y A , B , and C r especti vel y . Enter any 3 v[...]

48 48 Note that in this cas e, ther e is a second s olution . Y ou can tell that by the pr esence of a ne w menu item: . T ap to see the second s olution: c = 3 .8 2 5… Pr ess again to see the earlie r result . 5E x p l o r e r A p p s Explore r apps are de signed for y ou to e xplore linear , quadr atic, and trigonometr ic f unctions . V ari ous[...]

49 49 The le f t half of the displa y sho ws the gr aph of a quadrati c functi on. The r ight half sho ws the gener al for m of the equation be ing explor ed (at the top) and, belo w it , the c urr ent equati on of that for m. S ymbols of the k ey s you can use to manipulat e the equation o r graph a ppear below the equat ion . (The se ar e called [...]

50 50 Tes t view i s l ik e e q u at io n m od e i n th a t yo u u se t h e ch a ng e keys to select and c hange the v alue of each par ameter in the equati o n. The goal is to tr y to match the graph that is s ho wn . The me nu items in test v ie w ar e: • : w ithin each lev el of equati on (see belo w) there ar e a number of diff icult graphs .[...]

51 51 The c urr ent equati on is show n at the top of the displa y , w ith the graph o f it belo w . The menu items ar e: • or : toggles betw een graph and eq uation modes • or : toggles betw een sine and cosine gr aphs • or : toggles betw een radians and degr ees as the angle measur e for x • or : toggles betw een translating the gr aph ( [...]

52 52 Ta p to enter test vi ew . In test vie w you can test y our skill at matchi ng an equation to the gr aph sho wn . T est v ie w is lik e equation mode in that yo u use the c ursor ke y s to select and chan ge the v alue of each par ameter in the equation . The goal is to try to match the graph that is shown . The functionalit y of test v iew i[...]

53 53 7T h e T o o l b o x M e n u s Compr ehensi ve menus o f functi ons, commands, and var iables ar e gr ouped together in a set of f iv e menus kno wn as the T oolbox menu s. Y ou pr es s the T oolbo x k ey ( D ) to dis play these menus , labeled Math , CAS , App , User , and Catl g . As we ll as the two usual t echnique s for se lecting a menu[...]

54 54 CAS Menu This menu cont ains the mor e common math f uncti o ns av ailable t o you i n the CAS , ar ranged b y category . (Other CAS f unctions ar e av ailable fr om the Catlg men u.) Pr ess D an d, if n ecessa r y , tap . Select the appr opriate category and then choose the functi on you w ant. F or example , suppose y ou want to find the gr[...]

55 55 User Menu The User menu lists user -def ined functions and pr og rams . Fo r ex ample, using the Define fe ature ( Sd ) y ou can def ine your o w n functi ons. T he name you gi ve t o a functi on will appear o n the User men u. Y ou could, f or instance , cr eate the func tion S IN(X)+COS( Y) and name it SINCOS . SINCOS w ill then appear on t[...]

56 56 8 Ca talogs and Editor s The HP Pr ime pro vi des a number of hand y catalogs for y ou to stor e the lists, matr ices, pr ogr ams, and notes yo u cr eate. E ach of these catalogs has an editor to help y ou quickl y cr eate and mod ify a list , matri x, pr ogram , or note. L ike apps , items y ou add t o a catalog can be sent to another HP Pr [...]

57 57 • : displays a menu for you to choose ho w man y list s to display at one time: one, tw o, thr ee, or f our . Fo r ex ample, if y ou hav e onl y L4 display ed and y ou choos e 3 from t he Lis ts men u, lis ts L5 and L6 will be displa yed in additi on to L4 . Enter the f irst ele ment in your list and pre ss E or tap . The c ursor j umps to [...]

58 58 When y ou select a matr ix , the Matri x E ditor opens. T he menu items in the Matr ix E ditor ar e: • : copies the s elected element to the entry line wher e it can be edited. T his item is only visible w hen an element in the matr i x or vector is selected . • : displa ys a menu f or y ou to choos e to insert a ro w abo ve the c urr ent[...]

59 59 When ther e ar e ex isting pr ograms , the menu items in the Pr ogram Catalog ar e: • : opens the Pr ogram E ditor w ith the selected pr ogr am show n for y ou to edit • : opens an input bo x for you to name a ne w progr a m • : opens a sub-menu w ith the f ollow ing options:  Sav e : c reate a cop y of a pr ogram w ith a new name ?[...]

60 60 A simple pr ogram is i llustr ated at th e r ight . When it runs , the value of N is set to 1 and the progr am continues until it becomes 1 0. T he value is display e d on sc reen in a me ssage bo x. The value is pr eceded by the str ing Counting: . If y ou tap or pres s E , the v alue of N is incr emented b y 1 . The inc remen ted value is d[...]

61 61 Ta p and enter a name f or y our new note . T ap twi ce. T he Note E ditor opens f or you to enter your note . The menu items in the Note E ditor are: • : pro vides opti ons for s etting the font si z e , f or eground color , back gr ound color , and paragr aph alignment • : pro v ides bold, itali c, underline , full cap s, supersc ript a[...]