SATPrepClassTJHS

Spring2018

ThisStudyPacketBelongsto:

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Homeroom:__________

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TJSATMATHPREPWEBSITE:http://www.sosanko.weebly.comandlookfortheSATtabatthetopofthepage.LengthoftheSATTheSATis3hourslong.TheoptionalEssayisanadditional50minutes.Theactuallengthoftimeyouwillspendatthetestingcenterwillbelongerbecauseofbreaksandthetimeittakestofilloutallofthedemographicinformationpriortotheactualtest.REMEMBERTOBRINGIDTOTHETESTINGCENTER(evenifyoutakethetestatTJ).SectionBreakdown:

o ReadingTest:65minutes,52questions

o WritingandLanguageTest:35minutes,44questions

o MathTest–TwoSections:1) Nocalculator:25minutes,20questions2) Calculator:55minutes,38questions

o OptionalEssay:50minutes

Scoring:TheSATisscoredona400to1600scale.Theaveragescoreis1000.TheessayscoreisoptionalintheredesignedSATandwillnotbefactoredintoyourscore.Theessayscoreswillbeshownseparatelyonyourscorereport.Nopenaltyforguessing:Thereisnopenaltyforwronganswers,sodon’tleaveanythingblank!Practicing:ThebestwaytopracticeistolinkyourCollegeBoardaccountandaKhanAcademyaccount.Youweregivenahand-outinclasswithdirectionsonhowtodothis.Youcanalsovisitthewebsitehttps://www.khanacademy.org/satandclick“StartPracticing.”ThesitewillpromptyoutocreateaKhanAcademyaccount.YouwillwanttojoinKhanAcademyasa“learner”andenteryourbirthdate.

KhanAcademywillnowaskyouaseriesofquestions. First,haveyoualreadytakenthePSATorSAT?Formanyofyou,thisanswerwillbe

yesbecausewetookthePSATinschool. Ifyouhave,KhanAcademywillpromptyoutosignintoyourCollegeBoardaccount

(thatyoucreatedwhenyouregisteredfortheSAT)sothatyoucansendtheresultstoKhanAcademy.Whenyoudoso,theKhanAcademyprogramwilldesignapersonalizedstudyprogramforyoubasedonyourperformanceonthePSAT.Ifyouhaven’ttakenthePSATorSATyet,that’sok.YoucantakeadiagnosticquizorpracticetestsothatKhanAcademyhasenoughinformationonyourabilitiestocreateapersonalizedprogramforyou.

OnceyouareinyournewKhanAcademyaccount,youwillseethemainpagecalledtheDashboard.Youwillprobablywanttopracticeatsomepoint.Thatoptionisatthetopofthepage.

Ifyouhaven’timportedyourPSATorpreviousSATscores,thesystemwillpromptyoutotakeaDiagnosticQuiz(totalof4).Readthedirectionsbeforeyoustartthequiz.Someofthemaskyounottouseacalculator.Onceyoucompletethediagnosticquizzes,KhanAcademywillcreatepracticerecommendationstailoredtoyourabilities.Ifyouscrolldownonthispage,youwillalsoseeafulllistofpracticeproblemsandvideostohelpyouwiththem.Youcanworkthroughtheseatyourownpace.Wewillalsotrysomeoftheseinclass.

FullLengthTests:TheKhanAcademyprogramalsooffers8differentfull-lengthpracticeteststhatyoucantakeatanytime.Thiscanbedoneonline,oryoucandownloadthetestandprintitifyoupreferapapercopy.Ifyoutakethepaper-basedversion,youcanuseyourphoneandtheSATPracticeapptoscanyouranswersheetandgetimmediatescores.Remember,followthedirectionsinthemathsectionswithrespecttotheircalculatorrules.MathConceptsTested:Thereare4domainsthataretestedonthemathsectionoftheSAT.

1) TheHeartofAlgebra(19questions,33%ofthetest)2) ProblemSolvingandDataAnalysis(17questions,29%ofthetest)3) PassporttoAdvancedMath(16questions,28%ofthetest)4) AdditionalTopicsinMath(6questions,10%ofthetest)

Wewillgothroughtheexactlearningobjectivesineachofthe4domainslistedabovethroughoutourclass.That’swhattheSATwilltestyouon.

SATClassMeetings:TUESDAYSWeek#1:March20Week#2:March27Week#3:April3Week#4:April10Week#5:April17Week#6:April24Week#7:May1Classesrunfrom6–8pmwithonehourdedicatedtomathandtheothertoreading/writing.Mathclassesareheldinroom222.

MathSATPrepClassStudyPlan: THISPLANISSUBJECTTOCHANGE!!!WewillgooverexampleproblemsinclassandoccasionallyworkthroughKhanAcademypracticeproblemsontheprovidediPadsorChromebooks.You’llneedheadphoneswhenwedothis.Pleasejustbringheadphonestoclasseveryweekincasewehavetimetousethem.Theonlyrequiredhomeworkislistedunderweek#1.Iwantyoutosign-upforKhanAcademyandlinkyourCollegeBoardaccount.Ifyoudon’thaveaCollegeBoardaccount,takethe4diagnosticquizzesinstead.PleasedoallofthisbeforeWeek#2’sclass.Togetthemostoutofthisclass,youshouldtryandkeepupwiththeKhanAcademyself-studylistedunderhomeworkforeachweek.Thisisoptionalbutstronglyencouraged.

Date Inclass Homework(dueatthebeginningofthe

nextweek’sclass)March20 Handoutintroductory

packets.DiscussCollegeBoardandKhanAcademy.Overviewofthetest.BeginstudyofTheHeartofAlgebra:LinearEquations,LinearInequalities,andLinearFunctions.BeginExamples#1-#14Wewillcompletewhateverwecaninclass.Youshouldreadthroughtherestoftheexamplesafterclassandcompletewhatyoucan.Youcanaskquestionsaboutthesenextweek.

REQUIRED:SignupforKhanAcademyandeitherlinkyourCollegeBoardaccountortakeall4diagnosticquizzessothatyourpersonalizedlearningpathwaycanbecreated.Bringheadphonesfornextweek!DownloadtheSATPracticeapponyourphoneortablet(optional).Ifyouwanttopracticewhatwedidinclassonlinearequations,inequalitiesandfunctions,gotoyourKhanAcademyaccountandclickonpractice.Gothroughsolvinglinearequationsandlinearinequalities,interpretinglinearfunctions,andlinearequationwordproblems.

March27 ContinuethestudyofTheHeartofAlgebra:LinearEquations,LinearInequalities,andLinearFunctions.

FinishExamples#1-#14fromlastweek.WorkthroughonlinepracticeproblemsonKhanAcademyatyourownpace:linearinequalitywordproblems,graphinglinearequations,linearfunctionwordproblems,systemsoflinearinequalitieswordproblems,solvingsystemsoflinearequations,andsystemsoflinearequationswordproblems.

Tokeepontrackwithself-study,completeanyoftheKhanAcademyproblemsyoudidnotcompleteinclass.

April3 BeginstudyofProblemSolvingandDataAnalysis.Ratios,Proportions,UnitsandPercentage,Examples#1-#5.

KhanAcademyPracticeunderProblemSolvingandDataAnalysis:Ratios,rates,andproportions,percents,andunits.

April10 ContinuestudyofProblemSolvingandDataAnalysis.InterpretingRelationshipsPresentedinScatterplots,Graphs,TablesandEquations,andMoreDataandStatisticsExamples#6-#15.

Completeexamplesnotdoneinclassandreadthroughexplanations.KhanAcademyPracticeunderProblemSolvingandDataAnalysis:tabledata,scatterplots,keyfeaturesofgraphs,linearandexponentialgrowth,datainferences,center,spread,andshapeofdistributions,anddatacollectionandconclusions.

April17 BeginstudyofPassporttoAdvancedMath.Adding,subtracting,multiplyingpolynomialsandbuildingquadraticfunctions.Examples#1-#7

Readoverexamplesandexplanationsnotcompletedinclass.KhanAcademyPracticeunderPassporttoAdvancedMath:solvingquadraticequations,operationswithrationalexpressions,operationswithpolynomialsandstructureinexpressions.

April24 ContinuestudyofPassporttoAdvancedMath.ExponentialFunctions,Equations,andExpressionsandRadicals,DividingPolynomialsbyaLinearExpression,SolvingRationalEquations,RelationshipsBetweenAlgebraicandGraphicalRepresentationsofFunctions,andAnalyzingMoreComplexEquationsinContext.Examples#8-#19

KhanAcademyPracticeunderPassporttoAdvancedMathematics:InterpretingNonlinearExpressions,QuadraticandExponentialWordProblems,ManipulatingQuadraticandExponentialExpressions,RadicalsandRationalEquations,PolynomialFactorsandGraphs,NonlinearEquationGraphs,LinearandQuadraticSystems,IsolatingQuantitiesandFunctionNotation.

May1 AdditionalTopicsinMath:Geometry,CoordinateGeometry,TrigonometryandRadians,andComplexNumbers.Examples#1-#12

KhanAcademyPracticeunderAdditionalTopicsinMath:VolumeWordProblems,RightTriangleWordProblems,CongruenceandSimilarity,RightTriangleTrigonometry,Angles,ArcLength,andTrigFunctions,CircleTheorems,CircleEquations,andComplexNumbers.

OnlineKhanAcademyPractice:Remember,youhavetolinkyourCollegeBoardaccounttoyouKhanAcademyaccountifyouhavealreadytakenthePSATand/ortheSAT.Ifnot,thenyoushouldcompletethe4diagnosticquizzesbeforeyoucanstartpracticingtheconceptsbelow.ThiswillgiveyouamorePERSONALIZEDstudyplaneliminatingquestionsontopicsyoualreadyknowandstressingthoseyoudon’t.Also,ifyouarehavingtroublewithasection,thereisatleast1(often2)videothatwillhelpyou.Theyarelistedas“how-toexamples”andseparatedby“basicexample”and“harderexample”totherightofeachtopic.

Topic DateCoveredinClass(thisiswhenyouwillbepreparedtoworkthroughthepractice

online)HeartofAlgebra

SolvingLinearEquationsandLinearInequalities

InterpretingLinearFunctions LinearEquationWordProblems LinearInequalityWordProblems GraphingLinearEquations LinearFunctionWordProblems SystemsofLinearInequalitiesWordProblems

SolvingSystemsofLinearEquations SystemsofLinearEquationsWordProblems

PassporttoAdvancedMathematicsSolvingQuadraticEquations InterpretingNonlinearExpressions QuadraticandExponentialWordProblems ManipulatingQuadraticandExponentialExpressions

RadicalsandRationalExponents RadicalandRationalEquations OperationswithRationalExpressions OperationswithPolynomials PolynomialFactorsandGraphs NonlinearEquationGraphs LinearandQuadraticSystems StructureinExpressions IsolatingQuantities FunctionNotation

ProblemSolvingandDataAnalysisRatios,RatesandProportions

Percents Units TableData Scatterplots KeyFeaturesofGraphs LinearandExponentialGrowth DataInferences Center,spread,andshapeofdistributions Datacollectionandconclusions

AdditionalTopicsinMathVolumewordproblems Righttrianglewordproblems Congruenceandsimilarity Righttriangletrigonometry Angles,arclength,andtrigfunctions Circletheorems ComplexNumbers Full-LengthTests:Thereare8full-lengthpracticeteststhatyoucantakeatyourconvenience.

Youcancompletetheseonline,oryoucandownloadandprintthemandcompletethemonpaper.Ifyouchoosetocompletethemonpaper,downloadtheSATPracticeapponyourphone.Onceyoucompletethepracticetest,youcanuseyourphonetoscanyouranswersheetandyouwillgetascorefromtheapp.

TipsandTricks:- Someexpertssayyoushouldn’tspendmorethanoneminuteorsoonanyquestion.If

itistakingyoulongerthanthat,putabigcirclearoundthequestioninyourtestbookandmoveon.Youcangobacklater.Isuggestmarkingyouranswersheet,toosothatyoudon’tmis-gridananswer.

- Problemsinthemathsectionarearrangedbylevelofdifficulty.Theygetharderasyou

go.- Remember,allproblems,regardlessofdifficultyareworththesamenumberofpoints.- Don’tleaveanythingblank.Thereisnopenaltyforwronganswers.Itistoyourbenefit

toguessifyoudon’tknow.- Bringacalculatoryouarefamiliarwith.Don’tgobuyabrandnewcalculatorthenight

beforethetestthatyoudon’tknowhowtouse.Ifitrequiresbatteries,bringextra!- Thecollegeboardwebsitehasalistofapprovedcalculators.Checktomakesureyour

calculatorisonthatlistbeforethetest.Itcanbefoundatthislink:https://collegereadiness.collegeboard.org/sat/taking-the-test/calculator-policy

ThesearetheTexasInstrumentsAcceptableCalculators

Domain#1:TheHeartofAlgebra

WeeklyExampleProblems

Example#1:In2014,CountyXhad783milesofpavedroads.Startingin2015,thecountryhasbeenbuilding8milesofnewpavedroadseachyear.Atthisrate,howmanymilesofpavedroadwillCountryXhavein2030?(Assumethatnopavedroadsgooutofservice).Notethatthisquestionhasnochoices.Itisastudent-producedresponsequestion.OntheSAT,youwouldgridyouranswerinthespacesprovidedontheanswersheet.Example#2:In2014,CountyXhad783milesofpavedroads.Startingin2015,thecountryhasbeenbuilding8milesofnewpavedroadseachyear.Atthisrate,ifnisthenumberofyearsof2014,whichofthefollowingfunctionsfgivesthenumberofmilesofpavedroadtherewillbeinCountryX?(Assumethatnopavedroadsgooutofservice.)A) 𝑓 𝑛 = 8 + 783𝑛B) 𝑓 𝑛 = 2014 + 783𝑛C) 𝑓 𝑛 = 783 + 8𝑛D) 𝑓 𝑛 = 2014 + 8𝑛

Example#3:In2014,CountyXhad783milesofpavedroads.Startingin2015,thecountryhasbeenbuilding8milesofnewpavedroadseachyear.Atthisrate,inwhichyearwillCountryXfirsthaveatleast1,000milesofpavedroads?(Assumethatnopavedroadsgooutofservice.)

Example#4:Toeditamanuscript,Miguelcharges$50forthefirst2hoursand$20perhourafterthefirst2hours.Whichofthefollowingexpressestheamount,C,indollars,Miguelchargesifittakeshimxhourstoeditamanuscript,where𝑥 > 2?

A) 𝐶 = 20𝑥B) 𝐶 = 20𝑥 + 10C) 𝐶 = 20𝑥 + 50D) 𝐶 = 20𝑥 + 90

Example#5:Abuilderusesthefunctiongdefinedby𝑔 𝑥 = 80𝑥 + 10,000toestimatethecost𝑔(𝑥)indollarstobuildaone-storyhomeofplannedfloorareaofxsquarefeet.Ifthebuilderestimatesthatthecosttobuildacertainone-storyhomeis$106,000,whatistheplannedfloorarea,insquarefeet,ofthehome?Example#6:Maizahboughtapairofpantsandabriefcaseatadepartmentstore.Thesumoftheprocessofthepantsandthebriefcasebeforesalestaxwas$130.Therewasnosalestaxonthepantsanda9%salestaxonthebriefcase.ThetotalMaizahpaid,includingsalestax,was#136.75.Whatwastheprice,indollars,ofthepants?Example#7:Eachmorning,Johnjogs6milesperhourandridesabikeat12milesperhour.Hisgoalistojogandridehisbikeatotalofatleast9milesinnomorethan1hour.IfJohnjogsjmilesandrideshisbikebmiles,whichofthefollowingsystemsofinequalitiesrepresentsJohn’sgoal?

A) yz+ {

|}≤ 1

𝑗 + 𝑏 ≥ 9

B) yz+ {

|}≥ 1

𝑗 + 𝑏 ≤ 9

C) 6𝑗 + 12𝑏 ≥ 9𝑗 + 𝑏 ≤ 1

D) 6𝑗 + 12𝑏 ≤ 1

𝑗 + 𝑏 ≥ 9

Example#8:Whatisthesolutiontotheequation: 3 |}− 𝑦 = �

�+ 15𝑦

Example#9:Whatisthesolutiontotheequation: −2 3𝑥 − 2.4 = −3(3𝑥 − 2.4)Example#10:Whatisthesolution(x,y)tothesystemofequations:

−2𝑥 = 4𝑦 + 62 2𝑦 + 3 = 3𝑥 − 5

Example#11:Howmanysolutions(x,y)aretheretothesystemofequations:

2𝑦 + 6𝑥 = 3𝑦 + 3𝑥 = 2

A) ZeroB) OneC) TwoD) Morethantwo

Example#12:Inthesystemofequationsbelow,aandbareconstants.Ifthesystemhasinfinitelymanysolutions,whatisthevalueofa?

3𝑠 − 2𝑡 = 𝑎−15𝑠 + 𝑏𝑡 = −7

Example#13:

Thegraphoflinekisshowninthexy-planeabove.Whichofthefollowingisanequationofalinethatisperpendiculartolinek?

A) 𝑦 = −2𝑥 + 1B) 𝑦 = − |

}𝑥 + 2

C) 𝑦 = |}𝑥 + 3

D) 𝑦 = 2𝑥 + 4Example#14:AvoterregistrationdrivewasheldinTownY.Thenumberofvotes,V,registeredTdaysafterthedrivebegancanbeestimatedbytheequation𝑉 = 3450 + 65𝑇.Whatisthebestinterpretationofthenumber65inthisequation?

A) ThenumberofregisteredvotersatthebeginningoftheregistrationdriveB) ThenumberofregisteredvotesattheendoftheregistrationdriveC) ThetotalnumberofvotersregisteredduringthedriveD) Thenumberofvotersregisteredeachdayduringthedrive