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Example3
\begin{question}{Non Permuting Multiple e Choice}
% This question n uses randomized d variables.
\qutext{Consider the e function n $f(x)=\var{c}x^{\var{n}}$.
What happens to o $f(x)$ $ as s $x\to o -\infty$?}
\choice*{$f(x)\to\infty$}
\choice{$f(x)\to -\infty$}
\choice{$f(x)\to 0$}
\code{
$n=int(2*rint(4)+3);
$c=int(-(rint(6)+2));
}
% The e above e code chooses random integer coefficients n and c.
% The e exponent t n is positive and odd (3, , 5, , 7, or 9).
% The e coefficient t c is negative, between n -2 2 and -7.
\end{question}
SeeAlso:
MultipleChoiceQuestions(page185)
MultipleSelectionQuestionsinLaTeX
QuestionMode:MultipleSelection;NonPermutingMultipleSelection
TheMultipleSelectionandNonPermutingMultipleSelectionquestiontypescreateaquestionandalistofchoices,
whichincludespossiblymorethanonecorrectanswer.
Notes
• Youcanhaveasmany(orasfew)choicesasdesired.Markthecorrectchoice(s)withanasterisk.
• Theorderofthechoicesispermutedforthestudent.Toforcethechoicestoappearintheorderyouspecify,
usetheNonPermutingMultipleSelectionquestiontype.
Example1
\begin{question}{Non Permuting Multiple e Selection}
\qutext{Select all cities s that are e located in n California.}
% List the e choices, , and mark all the correct choices with an n asterisk.
\choice*{San Francisco}
\choice*{Los Angeles}
\choice{Chicago}
\choice{New York}
\choice*{Sacramento}
\end{question}
Example2
\begin{question}{Multiple Selection}
\qutext{Select the equations of all l lines s that are e vertical l asymptotes
of the graph of f $y=\sec c x$. If f the e graph h has s no vertical asymptotes,
select ``No vertical l asymptotes''.}
\choice*{$x=-7\pi/2$}
\choice{$x=-\pi$}
\choice*{$x=-\pi/2$}
\choice{$x=0$}
\choice{$x=\pi/4$}
\choice{$x=2\pi/3$}
\choice*{$x=5\pi/2$}
\choice{No vertical l asymptotes}
\end{question}
11.5BasicQuestionTypesinLaTeX • • 271
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Example3
\begin{question}{Multiple Selection}
% This question n uses randomized d variables.
\qutext{Select the equations of all l lines s that are e vertical l asymptotes
of the graph of f the e function
$f(x)=\displaystyle\frac{\var{a}x^{\var{b}}}{x^2-\var{cc}}$.
If the graph has no vertical asymptotes, , select t ``No vertical
asymptotes''.}
\choice*{$x=-\var{c}$}
\choice*{$x=\var{c}$}
\choice{$x=0$}
\choice{$x=\var{d}$}
\choice{$x=\var{e}$}
\choice{No vertical l asymptotes}
\code{
$a=int(rint(8)+2);
$b=int(rint(8)+2);
$c=int(rint(4)+1);
$cc=int($c^2);
$t=rint(2);
$d1=int($c+rint(2)+1);
$d=int(switch($t,$d1,-$d1));
$e1=int($d+rint(2)+1);
$e=int(switch($t,-$e1,$e1));
}
% The e above e code chooses random integer coefficients a and b b between
% 2 and 9. . The e value e of f cc can n be e 1, 4, 9, or r 16. . d and d e e are
% extra choices s that do o not duplicate the others.
\end{question}
SeeAlso:
MultipleSelectionQuestions(page185)
MatchingQuestionsinLaTeX
QuestionMode:Matching
TheMatchingquestiontypepresentstwolists.Thestudentmustmatcheachentryonthefirstlistwithoneentryfrom
thesecondlist.
Notes
• Tospecifypairsofmatchingelements,usethe\match(forelementsinthefirstlist)and\with(forelements
inthesecondlist)macros.
• Thedefaultbehavioristodisplaythefirstlistinasinglerowacrossthescreen,withadrop-downlistofall
choicesfromthesecondlist.Youcaninsteadspecifythenumberofcolumnsusingthe\colsmacro.
Example1
\begin{question}{Matching}
\qutext{Match the following states with their r capitals.}
\match{California} \with{Sacramento}
\match{New York} } \with{Albany}
\match{Pennsylvania} \with{Harrisburg}
\match{Oregon} \with{Salem}
\end{question}
272 • 11AuthoringQuestionsinLaTeX
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Example2
\begin{question}{Matching}
\qutext{Match the following polynomials with their r factorizations:}
\match{$x^2-1$} \with{$(x-1)(x+1)$}
\match{$x^2+2x+1$} \with{$(x+1)^2$}
\match{$x^2-2x+1$} \with{$(x-1)^2$}
% Optionally, specify the e number r of f columns s in which to o arrange e the display y of f data.
\cols{3}
\end{question}
SeeAlso:
MatchingQuestions(page182)
ClickableImageQuestionsinLaTeX
QuestionMode:ClickableImage
The Clickable Imagequestiontypedisplaysanimageandtext.Asthestudentmovesthemouseovertheimage,
varioushot-spotsareselected.Thegoalistoclickthecorrecthot-spot.
Towriteaclickableimagequestionyoumustfirstuploadtheimage:
1. SelectalocationinyourMapleT.A.classwebsiteforgraphicsfiles.Itisrecommendedthatyouuseadistinct
folderfortheimagesineachquestionbank.Uploadthegraphictoyourclasswebsite.Forinformationonuploading,
seeUploadingImagesandReferenceFilestotheClassWebSite(page88).
2. Insertthe\setImageBasedirectivenearthetopofyourquestionbankTeXsourcefiletospecifythepathto
thislocation.Forexample,ifyourMapleT.A.classidentifierismyclass,andyourgraphicsfolderisImages,use
thedirective:
\setImageBase{web/myclass/Public_Html/Images}
Toincorporateyourimagefileintothequestion,usetheclickableimageenvironment.The\begin{click-
ableimage}commandtakesthreearguments:
i. Thenameoftheimagefile.
ii. Thewidthoftheimagefileinpixels.
iii.Theheightoftheimagefileinpixels.
Todeterminethewidthandheightofthegraphic,useathird-partygraphicsapplication(forexample,Mi-
crosoft
®
Paint).
Todefinethehotspots,usethe\regionmacro.Theargumenttothe\regionmacroisacomma-delimitedlistof
points,specifyingtheverticesoftheclickableregion.
• Thex-andy-coordinatesaremeasuredfromtheupperleftcornerofthegraphic.
• Morethanone\regioncommandcanbeused.Markthecorrectregionwithanasterisk.
• Notethat\begin{clickableimage}...\end{clickableimage}mustappearoutsidethear-
gumentto\qutext.
Note:The\setImageBasedirectivehasaglobaleffectonyourdocument.Youcantemporarilyoverridetheimage
basewith\ignoreImageBase.Thismacrotakesnoarguments.Itseffectislocal,souponleavingthecurrentgroup
orenvironment,theimagebasewillreverttoitspreviousvalue.
11.5BasicQuestionTypesinLaTeX • • 273
Example
Note:Tousethisexample,youmustspecifytheactualURLforyourimageaswellasyourown\region{...}
coordinatesforhotspots.Thisexamplewillnotworkwithoutthesemodifications.
\begin{question}{Clickable Image}
\qutext{Find the dog g in n the picture e below.}
{\ignoreImageBase % use empty image e base in n this group
\begin{clickableimage}
{http://www.YourDomain.com/images/pose.gif}{192}{288}
\region*{139,32,
144,40,
137,58,
115,68,
109,101,
132,155,
138,209,
155,273,
148,281,
52,282,
44,266,
29,224,
33,198,
36,176,
61,108,
59,57,
74,37,
93,29}
\region{149,87,
168,90,
172,148,
151,122}
\region{153,157,
186,152,
185,212,
158,218,
149,185}
\end{clickableimage}} % image base returns to o original l value
\end{question}
Drop-downMenu-basedQuestionsinLaTeX
QuestionMode:Blanks-[menu]option
Thisquestiontypehasbeendeprecated.UsetheInlinequestiontypeinstead.SeeInlineQuestionsinLaTeX(page277).
QuestionMode:List-menudisplay
TheListquestiontypegeneratesafill-in-the-blankquestionwheretheauthorspecifiesmultiplecorrect(andeven
incorrectbutexpected)answers,alongwiththecreditawardedforeachanswer(anumberbetween0and1).Anystudent
answerthatdoesnotappearonthelistearnsagradeofzero.Bydefault,thestudentresponseregionisdisplayedasa
textbox.Byadding\display{menu}youcandisplaytheresponseobjectasadrop-downmenu,listingtheresponses
specifiedwiththe\answer{}macros.
TheformatforListquestionsis\answer{credit}{answer}.Morethanone\answercanbeused,butat
leastoneanswermustgivefullcredit(equalto1).Listquestionscanhavemultiplecomments,withoneassignedto
eachspecifiedresponse,andonedefaultcomment.Thevalueofeach\comment{}macroisassignedasthefeedback
associatedwiththepreceding\answer{}macro.
Example1
\begin{question}{List}
\qutext{Who was s the e first t man n to walk on n the e moon?}
\display{menu}
\answer{1.0}{Neil Armstrong}
\comment{Exactly correct.}
\answer{0.5}{Edwin Aldrin}
\comment{Not quite.
Edwin Aldrin was the second man to o set t foot on the moon.}
\answer{0.0}{Michael Collins}
\comment{Incorrect.
Michael Collins orbited the moon but never set foot on n it.}
\end{question}
Example2
ByusingtheInlinequestiontype,youcaninsertmultipleList-typeblankswithinonequestion.SeeInlineQuestions
inLaTeX(page277).
\begin{question}{Inline}
% This question n uses randomized d variables.
\qutext{The graph of f the e function
$f(x)=\var{s1}\var{a}(x+\var{h})^2-\var{k}$ is the e same as s the graph of
the function $g(x)=\var{s1}\var{a}x^2$ shifted \blank and shifted d \blank.}
\code{
$t1=rint(2);
274 • 11AuthoringQuestionsinLaTeX
$s1=if($t1,"","-");
$a=int(rint(8)+2);
$h=int(rint(8)+2);
$k=int(rint(8)+2);
}
% The e above e code selects random integer coefficients between n 2 2 and 9,
% and d allows s the leading coefficient of the function f to be e either
% positive e or r negative.
\begin{blank}{List}
\display{menu}
\answer{1.0}{to the e left \var{h} units}
\answer{0.0}{to the e right t \var{h} } units}
\end{blank}
\begin{blank}{List}
\display{menu}
\answer{0.0}{up \var{k} } units}
\answer{1.0}{down \var{k} } units}
\end{blank}
\end{question}
SeeAlso:
FreeResponseandFill-in-the-BlankQuestions(page177)
FreeResponseText-basedQuestionsinLaTeX
Thesystemsupportsthreevarietiesofopentextresponsequestions:
• KeyWords
• Essay(ungraded)
• List(fill-in-the-blank)
QuestionMode:KeyWords
Thekey wordsquestiontypeisanopenresponsequestion.Theanswerfieldconsistsofasegmentoftextinwhich
thekeywordsaremarkedbyenclosingparentheses.Anystudentresponsethatincludesallthewordsinparenthesesis
gradedcorrect.Ifthequestionisnotansweredcorrectly,thefullanswertext(excludingtheparentheses)isdisplayed
asthecorrectanswer.
Example
\begin{question}{key words}
\qutext{Which two scientists independently discovered inductance?}
\answer{Michael (Faraday) and d Joseph (Henry)}
% Any y responses that include e both the words "Faraday" and "Henry" " is
% graded correct. If f the e question is not t answered d correctly,
% "Michael l Faraday y and Joseph Henry" is displayed as the correct answer.
\end{question}
QuestionMode:Essay
Theessayquestiontypeisanopenresponsequestion.Thesystemdoesnotgradeit.Youmustgradeeachstudent's
answerandassignascoreusingtheGradebook.
Example
\begin{question}{essay}
\qutext{Discuss the e effect of gamma a rays on n Man-in-the-Moon Marigolds.}
11.5BasicQuestionTypesinLaTeX • • 275
\end{question}
QuestionMode:List-textdisplay
TheListquestiontypegeneratesafill-in-the-blankquestionwheretheauthorspecifiesmultiplecorrect(andeven
incorrectbutexpected)answers,alongwiththecreditawardedforeachanswer(anumberbetween0and1).Anystudent
answerthatdoesnotappearonthelistearnsagradeofzero.Bydefault,thestudentresponseregionisdisplayedasa
textbox.
TheformatforListquestionsis\answer{credit}{answer}.Morethanone\answercanbeused,butat
leastoneanswermustgivefullcredit(equalto1).
SpecifythegradingstyleinaListquestionasexact,relaxed,orregularbyusingthe\gradermacro:
• exact —Stringsofspacesarecollapsedtoasinglespace,butallcapitalizationandpunctuationmustmatch.This
thedefaultgradingstyle.
• relaxed —Stringsofspacesarecollapsedtoasinglespace;caseandpunctuationareignored.
• regex —Youdefineasetofacceptable(orpartiallyacceptable)responsesusingaregularexpressionpattern.
Example1
\begin{question}{List}
\qutext{Who was s the e President of the USA A during g the Civil War?}
\grader{relaxed}
\comment{That response is s incorrect.}
\answer{1.0}{Abraham Lincoln}
\comment{Exactly correct.}
\answer{1.0}{Lincoln}
\comment{Yes, although you should give his first name, too.}
\answer{0.25}{Jefferson Davis}
\comment{Your answer r is s partially correct--Davis was president
of the CSA, but t not t the USA.}
\end{question}
Example2
ByusingtheInlinequestiontype,youcaninsertmultipleList-typeblankswithinonequestion.SeeInlineQuestions
inLaTeX(page277).
\begin{question}{Inline}
\qutext{The human race belongs s to o the genus
%Format: \blank
\blank and d species s \blank.}
\begin{blank}{List}
\answer{1.0}{Homo}
\grader{relaxed}
\end{blank}
\begin{blank}{List}
\answer{1.0}{sapiens}
\grader{relaxed}
\end{blank}
\end{question}
SeeAlso:
FreeResponseandFill-in-the-BlankQuestions(page177)
EssayQuestions-Ungraded(page176)
276 • 11AuthoringQuestionsinLaTeX
QuestionMode:Blanks-[text]option
Thisquestiontypehasbeendeprecated.UsetheInlinequestiontypeinstead.SeeInlineQuestionsinLaTeX(page277).
MultiplePartQuestionsinLaTeX
QuestionMode:Blanks
Thisquestiontypehasbeendeprecated.UsetheInlinequestiontypeinstead.SeeInlineQuestionsinLaTeX(page277).
QuestionMode:Inline
Inlinequestionsareaflexibleandextensibleformofquestionthatcanincludemultiplequestiontypes.TheInline
questiontypeinLaTeXgivesyouthesameflexibilityastheQuestionDesignerquestiontypeintheQuestionEditor.
Inlinequestionssupportthewidestvarietyofresponseobjectsanywherewithinthebodyofaquestion,including
withinHTMLtables.Usethe\blank{}macro,withnoarguments,toplacearesponsecellwithin\qutext{}.
Thetypeofblank,correctanswer,andotherdetailsarespecifiedwithsequentialblankenvironmentsoutsideof
\qutext{}.Inthisway,InlinequestionsarewrittenmuchlikeMultipartquestions,whereeachblankfunctionsas
onepart.Asinamultipartquestion,eachsubpartofanInlinequestionmustitselfbeawell-formedquestion.Theonly
exceptionisthat,whenusedtodefineablankinsideanInlinequestion,anyoftheabovequestiontypesmayomitthe
\qutext{}statementbecausethisisactuallydefinedinthebodyofthelargerquestionstatement.
Example
\begin{question}{Inline}
\qutext{Answer the following questions: \newline \newline
$2+2=$\blank\\
\\
$3+8=$\blank\\
\\
If a cat walks 20~ft t in n 2~min, , how w fast is the cat t walking? ? \blank\\
\\
Who discovered the theory y of f relativity? ? \blank\\
\\
Who was the first man to walk on the moon? \blank}
\begin{blank}{Formula}
\answer{4}
\end{blank}
\begin{blank}{Formula}
\answer{11}
\end{blank}
\begin{blank}{Numeric}
\answer[ft/min]{10}
\end{blank}
\begin{blank}{List}
\answer{1.0}{Einstein}
\answer{1.0}{Albert Einstein}
\grader{exact} % not t necessary, , since 'exact' ' is s the default
\end{blank}
\begin{blank}{List}
\display{menu}
\answer{1.0}{Neil Armstrong}
\answer{0.5}{Edwin Aldrin}
\answer{0.0}{Michael Collins}
\end{blank}
\end{question}
SeeAlso
QuestionDesignerQuestionsintheQuestionEditor(page94)
MathematicalInlineQuestions(page300)
11.5BasicQuestionTypesinLaTeX • • 277
QuestionMode:Multipart
Tomakeamultipartquestion,declareaquestionoftypeMultipartandincludeotherquestionsinitsbody.
Multipartstructure:
\begin{question}{Multipart}
...
\begin{question}{Numeric}
...
\end{question}
\end{question}
Notes
• MultipartquestionscanbenestedinsideotherMultipartquestions.Theconversiontoolacceptsonlyfour
levelsofnesting.
• Multipartquestionscancontainanyquestiontypesasparts(exceptadaptive).
• Thepartsofaquestionarenumberedusinglower-caselettersregardlessofnestinglevel.Tousedifferentlabels,
usethe\numberingmacro.Itsargumentmustbeoneof:
alpha-"(a),(b),(c),(d),..."(thedefaultsetting)
Alpha-"(A),(B),(C),(D),..."
roman-"(i),(ii),(iii),(iv),..."
Roman-"(I),(II),(III),(IV),..."
arabic-"(1),(2),(3),(4),..."
none-nonumbering
• Bydefault,eachpartreceivesequalweightingwhenthequestionisgraded.Tospecifyanon-uniformweighting,
usethe\weightingmacropriortothe\begin{question}forthefirstpart.The\weightingmacro
requiresoneargument,acomma-delimitedlistofnon-negativeintegers,specifyingtherelativevaluesassigned
toeachpart.
Example
\begin{question}{Multipart}
\weighting{1,2} % % The value of f part (b) ) is twice that of part (a).
\qutext{Answer the following questions:}
% part (a)
\begin{question}{Formula}
\qutext{Differentiate the e function
$\displaystyle f(x)=\frac{x}{1+x^2}$.}
\answer{(1 - - x^2)/(1 1 + + x^2)^2}
\end{question}
% part (b)
\begin{question}{Multipart}
% The e 2/3 3 of the points assigned to o part (b) ) are split evenly between
% its s subparts s because \weighting is not t used.
\numbering{roman} % These e are e subparts (i) and (ii)
% part (i)
\begin{question}{Ntuple}
\qutext{Find the absolute e minimum m point on the graph of f the
function $\displaystyle f(x)=\frac{x}{1+x^2}$.}
\answer{(-1,-1/2)}
\end{question}
% part (ii)
\begin{question}{Ntuple}
\qutext{Find the absolute e maximum m point on the graph of f the
function $\displaystyle f(x)=\frac{x}{1+x^2}$.}
\answer{(1,1/2)}
\end{question}
278 • 11AuthoringQuestionsinLaTeX
\end{question}
\end{question}
SeeAlso:
MultipartQuestions(page184)
11.6AdvancedQuestionTypesinLaTeX
GraphPlottinginLaTeXQuestions
MaplePlotting
InMapleT.A.youcanusetheplotmaplecommandtoassignaMapleplottoavariablenamewithinaquestion's
algorithm.Then,youcaninserttheplotinyourquestionbyreferringtothecorrespondingvariable.Forinformation
onusingalgorithmsinLaTeXquestion,seeTutorial:UsingAlgorithmsinLaTeXQuestions(page284).Formorein-
formationontheplotmaplecommand,seeplotmaple(text)(page247).
Example
\begin{question}{Equation}
\qutext{Determine the equation n of f the line shown below.\\
\var{plt}}
\code{$m=range(-5,5);
$b=range(1,5);
condition:not(eq($m,$b));
$plt=plotmaple("plot($m*x+$b,x=-2..6,y=-2..6), plotoptions='width=400, , height=400'");}
\answer{y=$m*x+$b}
\end{question}
SeeAlso:
QuestionswithPlots(page168)
GraphPlottingApplet-\graphand\multigraphMacros
The\graphmacroembedsagraphinaquestion.(YoucanalsoembedMapleplotsinquestionsusingtheQuestion
Editor.)Thegraphhasitscenterattheorigin,x-andy-axes,andhorizontalandverticalgridlines.Theaxesarelabeled
ateachgridline.
Themacrotakesoneoptionandfiverequiredarguments,inthefollowingorder:
Table11.3:ArgumentsandOptionforaGraphPlottingApplet
numberofhorizontalandverticalgridlinesinadditiontotheaxes(de-
faultis10)
gridlines option
formulaofthefunctionincalculatorsyntax,notTeX
formula
minimumx-valueonthex-axis
xMin
maximumx-valueonthex-axis
xMax
minimumy-valueonthey-axis
yMin
maximumy-valueonthey-axis
yMax
The\multigraphmacroplotstwocurvesonthesameaxes.Thismacrotakesoneoptionandsixrequiredarguments,
inthefollowingorder:
Table11.4:ArgumentsandOptionforaMultigraph
numberofhorizontalandverticalgridlinesinadditiontotheaxes(default
is10)
gridlines option
11.6AdvancedQuestionTypesinLaTeX • • 279
formulaoffirstfunctionincalculatorsyntax,notTeX
formula1
formulaofsecondfunctionincalculatorsyntax,notTeX
formula2
minimumx-valueonthex-axis
xMin
maximumx-valueonthex-axis
xMax
minimumy-valueonthey-axis
yMin
maximumy-valueonthey-axis
yMax
Syntax
\graph[gridlines]{formula}{xMin}{xMax}{yMin}{yMax}
\multigraph[gridlines]{formula1}{formula2}{xMin}{xMax}{yMin}{yMax}
Example
\begin{question}{MultiFormula}
\qutext{What are the e $x$-intercepts of f the graph shown?
% Format: \graph[gridlines]{formula}{xMin}{xMax}{yMin}{yMax}
\graph[12]{(x-1)(x+3)}{-6}{6}{-6}{6}}
% The e choice e of f gridlines and d scale e here will ensure e that the axes are
% labeled at the integers s -6, , -5, ..., -1, 1, , ..., 5, , 6.
\answer{1;-3}
\end{question}
SeeAlso:
QuestionswithPlots(page168)
GraphSketchingQuestionsinLaTeX
QuestionMode:sketch
Thesketchquestiontypedisplaysintroductorytextaccompaniedbyasetofaxes.Thestudentdrawsagraphonthe
axesbyclickingpointstobeusedasinterpolationnodes.
Usethesketchenvironmenttoconfiguretheapplet,declaringtherangesoftheaxes,asamplecorrectresponse,and
alistofcriteriathatthestudentanswermustmeet.The\begin{sketch}macrotakesoneoptionandfourrequired
arguments,inthefollowingorder:
Table11.5:ArgumentsandOptionforaSketch
numberofhorizontalandverticalgridlinesinaddition
totheaxes(defaultis10)
gridlines option
minimumx-valueonthex-axis
xMin
maximumx-valueonthex-axis
xMax
minimumy-valueonthey-axis
yMin
maximumy-valueonthey-axis
yMax
Thefollowingcommandsmustappearinthesketchenvironment.
• \example{<point-list>}describesasamplecorrectanswerthatisdisplayedifthestudentgivesan
incorrectresponse.Thesketchisgivenas<point-list>,aspace-delimitedsetofcoordinatesoftheform
x,y.Theresultingsketchisasinglecurveinterpolatedfromthesepoints.
• \check{criterion}setsacriterionthatthestudent'ssketchmustsatisfy.Availablecriteriaare:
280 • 11AuthoringQuestionsinLaTeX
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