英文版数学课件Mathematics SubjectPre-CalculusFor High School9th Grade

MathematicsSubjectPre-CalculusForHighSchool9thGradeFUNCTIONS01DescribethetopicofthesectionhereGRAPHS02DescribethetopicofthesectionhereSEQUENCES03DescribethetopicofthesectionhereFUNCTIONS04DescribethetopicofthesectionhereMATRICES05DescribethetopicofthesectionherePRE-CALCULUS06DescribethetopicofthesectionhereFunctionsYoucanenterasubtitlehereifyouneedit01INTRODUCTIONHereyoucangiveabriefdescriptionofthetopicyouwanttotalkabout.Forexample,ifyouwanttotalkaboutMercury,youcansaythatit’sthesmallestplanetSomePointsAboutFunctionsDoyouknowwhathelpsyoumakeyourpointclear?

Listslikethisone:They’resimpleYoucanorganizeyourideasclearlyYou’llneverforgettobuymilk!Andthemostimportantthing:theaudiencewon’tmissthepointofyourpresentationKEYPOINTS:APictureIsWorthAThousandWordsFUNCTIONSGRAPHSMercury

istheclosestplanettotheSunandthesmallestoneintheSolarSystemVenus

hasabeautifulnameandisthesecondplanetfromtheSunFunctions&GraphsGraphsYoucanenterasubtitlehereifyouneedit02CommunicatingEffectivelyWithGraphsNEPTUNE-30%Neptune

isfarfromtheSunPLUTO-29%Pluto

isnowadwarfplanetTomodifythisgraph,clickonit,followthelink,changethedataandpastethenewgraphhere,replacingthisone.YoucanseehowtomodifythegraphhereCERES-10%Ceres

isinthemainbeltTHESUN-31%TheSun

isthestaratthecenterImagesreveallargeamountsofdata,soremember:useanimageinsteadofalongtext.YouraudiencewillappreciateitAPictureAlwaysReinforcesTheConcept9th-20219thGradeof2021willbetheyeartolearnPre-CalculusAlgebra2&Pre-CalculusPRINCIPLEAMars

isactuallyacoldplace,despiteitscolorPRINCIPLEBJupiter

isagasgiantandthebiggestPRINCIPLECTheEarth

isthethirdplanetfromtheSunSequencesYoucanenterasubtitlehereifyouneedit03SequencesAroundTheWorldMERCURYMercury

istheclosestplanettotheSunVENUSVenus

hasanicenameandhightemperaturesAwesomeWordsSequences&SeriesSEQUENCE#01TheEarth

isthethirdplanetfromtheSunSEQUENCE#02MercuryisthesmallestplanetofthemallSEQUENCE#03SaturnistheonlyplanetwithringsSEQUENCE#04Despitebeingred,Mars

isactuallyacoldplaceVenus

hasabeautifulnameMars

isactuallyacoldplaceAnalyticGeometryThroughTime1700sMercury

isthesmallestplanet1800s1900sTheEarth

istheplanetwithlife2000sFunctionsYoucanenterasubtitlehereifyouneedit04–SomeoneFamous“Thisisaquote,wordsfullofwisdomthatsomeoneimportantsaidandcanmakethereadergetinspired.”45%Ceres

islocatedinthemainasteroidbeltProbability&Statistics+55%Pluto

isnowconsideredadwarfplanet-3%TheSun

isthestaratthecenteroftheSolarSystemExponential&LogarithmicFunctionsFUNCTIONANeptune

isfarawayfromtheSunFUNCTIONBTheEarthistheonlyplanetwithlifeFUNCTIONDMercuryisthesmallestplanetFUNCTIONESaturn

isagasgiantandhasseveralringsFUNCTIONCJupiter

isagasgiantandthebiggestplanetFUNCTIONFTheEarthhasonlyonesatelliteMatrixesYoucanenterasubtitlehereifyouneedit05LinearAlgebraTableXY=2X+1YORDEREDPAIRS-22(-2)+1-3(-2,-3)02(0)+11(0,1)22(2)+15(2,5)Thiscanbethepartofthepresentationwhereyouwriteyouremail,talkaboutcalculus…Whoa!IntegralCalculusExercises∫√XDZSolution:∫√xdz=∫x4dx=⅔x⅔+C=⅔x√x+CInstructions:TheSun

isthestaratthecenteroftheSolarSystem1)∫3E2DXSolution:∫3e2dx=3∫e2dx=3e2+C2)∫(3X2-√5X+2)DXSolution:=x3-⅔x√5x*x*⅔x+2x+C3)∫½X-2/X2+3/√XSolution:=½ln|x|-2*(-1)x-1

+3*2x⅔+C4)Pre-CalculusYoucanenterasubtitlehereifyouneedit06Pluto

isnowconsideredadwarfplanetCeres

islocatedinthemainasteroidbelt+5.032021Youcanreplacetheimageonthescreenwithyourownwork.Justright-clickonitandselect“Replaceimage”LaptopDeviceTabletDeviceYoucanreplacetheimageonthescreenwithyourownwork.Justright-clickonitandselect“Replaceimage”Youcanreplacetheimageonthescreenwithyourownwork.Justright-clickonitandselect“Replaceimage”MobileDeviceDoesanyonehaveanyquestions?addyouremail@+91620421838Thanks!PhysicsIconPackMathSymbolsIconPackMathematicsSubjectforMiddleSchoolAlgebra6thGradeWhoa!Thiscanbethepartofthepresentationwhereyoucanintroduceyourself,writeyouremail…03010204TableofcontentsFractionsYoucandescribethetopicofthesectionhereAbsolutevalueYoucandescribethetopicofthesectionhereIntegersYoucandescribethetopicofthesectionhereResultYoucandescribethetopicofthesectionhereFractions01Youcanenterasubtitlehereifyouneedit—SomeoneFamous“Thisisaquote,wordsfullofwisdomthatsomeoneimportantsaidandcanmakethereadergetinspired”IntroductiontofractionsHereyoucangiveabriefdescriptionofthetopicyouwanttotalkabout.Forexample,ifyouwanttotalkaboutMercury,youcansaythatit’sthesmallestplanetintheentireSolarSystem36=12LeastcommonmultipleMercuryVenusVenushasabeautifulnameandisthesecondplanetfromtheSun.It’shotandhasapoisonousatmosphereMercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystem—it’sonlyabitlargerthantheMoon264?824?Leastcommondenominator23+14MercuryMercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystem—it’sonlyabitlargerthantheMoon36689121216Divisibilitypatterns2345678910ExampleVenushasabeautifulnameandisthesecondplanetfromtheSun.It’shotandhasapoisonousatmospherehereAwesomewords!IntroductiontoprimeandcompositenumbersPrimeCompositeVenushasabeautifulnameandisthesecondplanetfromtheSun.It’sterriblyhotMercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystem23574689FactorsandGCFMercuryVenusVenushasabeautifulnameandisthesecondplanetMercuryistheclosestplanettotheSunandthesmallestoneTheQuiz!Despitebeingred,Marsisactuallyacoldplace2028112244571014202891219121824273636484560......3246????????......??Simplifyingfractions812=2344MercurySaturnSaturniscomposedmostlyofhydrogenandheliumMercuryistheclosestplanettotheSunandthesmallestoneMarsDespitebeingred,MarsisactuallyacoldplaceVenusVenushasabeautifulnameandisthesecondplanetEquivalentfractions12244?MercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystemFractionsanddecimals0.010.160.350.430.981100351001610011009810043100MercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystemComparingandorderingfractions42484048Doyouknowwhathelpsyoumakeyourpointclear?Listslikethisone:They’resimpleYoucanorganizeyourideasclearlyYou’llneverforgettobuymilk!Andthemostimportantthing:theaudiencewon’tmissthepointofyourpresentationEstimating&roundingfractions011/23878MercuryistheclosestplanettotheSunandthesmallestoneVenushasabeautifulnameandisthesecondplanetfromtheSunSaturn,theringedplanetiscomposedofhydrogenandheliumMercuryVenusSaturnAddandsubtractfractionslikedenominators111110101010111101010410+310=??VenushasabeautifulnameandisthesecondplanetfromtheSunVenusSaturn,theringedplanet,iscomposedofhydrogenandheliumSaturnAddingfractionswithunlikedenominators7-MercurySaturnSaturniscomposedmostlyofhydrogenandheliumMercuryistheclosestplanettotheSunandthesmallestoneMarsDespitebeingred,MarsisactuallyacoldplaceVenusVenushasabeautifulnameandisthesecondplanet558ApictureisworthathousandwordsSubtractfractionswithunlikedenominators5626-=3656712-=5x26x2712-VenushasabeautifulnameandisthesecondplanetfromtheSunMultiplyingfractionsMercuryVenusVenushasabeautifulnameandisthesecondplanetMercuryistheclosestplanettotheSunandthesmallestone56x3456x8==??DividingfractionsMercuryVenusVenushasabeautifulnameandisthesecondplanetMercuryistheclosestplanettotheSunandthesmallestoneMarsDespitebeingred,Marsisactuallyacoldplace4523÷=4534x4532x=12101210=151Absolutevalue02YoucanenterasubtitlehereifyouneeditUnderstandingabsolutevalueHereyoucangiveabriefdescriptionofthetopicyouwanttotalkabout.Forexample,ifyouwanttotalkaboutMercury,youcansaythatit’sthesmallestplanetintheentireSolarSystem012345678-8-7-6-5-4-3-2-1X+3=6ComparingabsolutevaluesMercuryIt’stheclosestplanettotheSunVenusVenushasabeautifulnameMarsDespitebeingred,It’sacoldplaceJupiterJupiteristhebiggestplanetSaturnSaturnisagasgiantandhasringsNeptuneNeptuneisthefarthestplanet-3<2-3>-2-3<34>1-4<-24>4ApicturealwaysreinforcestheconceptImagesreveallargeamountsofdata,soremember:useanimageinsteadofalongtextThisisagraphFollowthelinkinthegraphtomodifyitsdataandthenpastethenewonehere.Formoreinfo,clickhereVenusVenushasabeautifulnameandisthesecondplanetMarsDespitebeingred,Marsisactuallyacoldplace34Integers03YoucanenterasubtitlehereifyouneeditIntegersintherealworldNegativePositiveTemperatureBelow0degreesAbove0degreesSeaLevelBelowsealevelAbovesealevelDistanceBackwardForwardProfitLossGainDirectionDownUpMercuryistheclosestplanettotheSunandthesmallestoneofth