英文版數學課件Functions and Probability I6TH GRADEMath Subject for Middle School

FunctionsandProbabilityI6THGRADEMathSubjectforMiddleSchoolwhoa!Mercury’snamehasnothingtodowiththeliquidmetal,sinceitwasnamedafteraRomangodWhatisthistopicabout?MercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystem—it’sonlyabitlargerthantheMoon.Theplanet’snamehasnothingtodowiththeliquidmetal,sinceitwasnamedaftertheRomanmessengergodTableofcontentSYoucandescribethetopicofthesectionhere01Youcandescribethetopicofthesectionhere03Whatisprobability?Youcandescribethetopicofthesectionhere02FavorableoutcomesYoucandescribethetopicofthesectionhere04Whatisafunction?Howisitexpressed?Whatisthistopicabout?Doyouknowwhathelpsyoumakeyourpointsclear?Listslikethisone:They’resimpleYoucanorganizeyourideasclearlyYou’llneverforgettobuymilk!Andthemostimportantthing:theaudiencewon’tmissthepointofyourpresentationinfographicMercuryMercuryistheclosestplanettotheSunVenusIt’sthesecondplanetfromtheSunSaturnIt’scomposedmostlyofhydrogenandheliumNeptuneNeptuneisthefarthestplanetfromtheSundefinitionsProbabilityProbabilityisamathematicalcalculationthatevaluatesthepossibilitiesthatexistforathingtohappenwhenchanceintervenesFunctionAfunctionisarelationshipbetweentwonumericvariables,xandy,sothateachvalueofxcorrespondstoasinglevalueofyWhatisafunction?01YoucandescribethetopicofthesectionhereMercuryMercuryistheclosestplanettotheSunSaturnIt’scomposedmostlyofhydrogenandheliumNeptuneNeptuneisthefarthestplanetfromtheSunformulasandtheoryVenusIt’sthesecondplanetfromtheSunMarsDespitebeingred,MarsisactuallyacoldJupiterJupiterisagasgiantandthebiggestplanetAPICTUREISWORTHATHOUSANDWORDSUSESOFTHISSUBJECTMercuryMercuryistheclosestplanettotheSunandthesmallestofthemallNeptuneNeptuneisthefarthestplanetfromtheSunandthefourth-largestSaturnSaturniscomposedmostlyofhydrogenandalsohelium“Thisisaquote,Wordsfullofwisdomthatsomeoneimportantsaidandcanmakethereadergetinspired.”—SOMEONEFAMOUSVenusVenushasabeautifulnameandisthesecondplanetfromtheSunSomeconceptsMarsDespitebeingred,MarsisactuallyacoldplaceNeptuneNeptuneisthefourth-largestplanetintheSolarSystemJupiterJupiterisagasgiantandthebiggestplanetofthemallBignumberscatchyouraudience’sattention567,890TableMondayTuesdayWednesdayThursdayFriday8:009:0010:0011:0012:00MercuryMarsSaturnVenusPlutoWorkprocessVenusisthesecondplanetfromtheSunSaturniscomposedofhydrogenandheliumDespitebeingred,MarsisaverycoldplaceMercuryistheclosestplanetfromtheSunPhase1Phase3Phase2Phase4Task1MercuryistheclosestplanettotheSunandthesmallestofthemallTask2Saturnistheringedplanet.It’scomposedmostlyofhydrogenandheliumTheoreticalanswerWriteyouranswerWriteyouranswerLEARNINGTHEPROCESSMercuryVenusMarsNeptuneJupiterMercuryistheclosestplanettotheSunVenusisthesecondplanetfromtheSunDespitebeingred,MarsisactuallycoldNeptuneisthefarthestplanetfromtheSunIt’sagasgiantandthebiggestplanet0103020405percentages54%63%20%MercuryistheclosestplanettotheSunandthesmallestofthemallNeptuneisthefarthestplanetfromtheSunandthefourth-largestSaturnistheringedplanet.It’scomposedmostlyofhydrogenandheliumMercurySaturnNeptuneFavorableoutcomes02Youcandescribethetopicofthesectionhereabc111variableschemeDependentVariablesProductVariablesProcessVariablesFocusVariablesInformationOrganizationFinalCalculation50,00080,000300,000MercuryistheclosestplanettotheSunNeptuneisthefarthestplanetfromtheSunSaturniscomposedmostlyofhydrogenandheliumSolvetheproblemAThefirstballdrawnbeinga5?CThenumberformedbeinggreaterthan5?BPlacingtheballsinorderofextraction?DThenumberformedendingin3?Inabagtherearetenballsnumberedfrom0to9each.Iftwoballsaredrawnconsecutivelyandtheirnumbersarenoted,whatistheprobabilityof…?Despitebeingred,Marsisacoldplace.It’sfullofironoxidedustMarsMercuryistheclosestplanettotheSunandthesmallestofthemallMercuryOurlocationsAWESOMEWORDSThisisagraph!Followthelinkinthegraphtomodifyitsdataandthenpastethenewonehere.Formoreinfo,clickhereVenusisthesecondplanetfromtheSunVenusNeptuneisthefarthestplanetfromtheSunNeptuneDespitebeingred,MarsisactuallyacoldplaceMars15%15%25%25%JupiterJupiterisagasgiantandthebiggestplanetproblemVenushasabeautifulnameandisthesecondplanetfromtheSun.It’sterriblyhot—evenhotterthanMarssolutionMercuryistheclosestplanettotheSunandthesmallestintheSolarSystem.It’sonlyabitlargerthantheMoonPracticalexercisesacx==hbac+43-7x=SaturnSaturniscomposedmostlyofhydrogenandheliumNeptuneNeptuneisthefarthestplanetfromtheSunandthefourth-largest(5,4,3),(5,3,4),(4,5,3)(6,3,3),(3,6,3),(3,3,6)(5,5,2),(5,2,5),(2,5,5)WriteyouranswerWriteyouranswerWriteyouranswervx?SolvethetaskTabletmockupYoucanreplacetheimageonthescreenwithyourownwork.Justdeletethisone,addyoursandcenteritproperlyDesktopmockupYoucanreplacetheimageonthescreenwithyourownwork.Justdeletethisone,addyoursandcenteritproperlyPhoneMockupYoucanreplacetheimageonthescreenwithyourownwork.Justdeletethisone,addyoursandcenteritproperlyPeterSmithYoucantalkaboutthispersonhereYoucantalkaboutthispersonhereJohnHarrisAnaPatternYoucantalkaboutthispersonhereOURTEAMThanks!Doyouhaveanyquestions?youremail@+91620421838AlternativeresourcesMathematicsSubjectforMiddleSchoolAlgebra6thGradeWhoa!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,Marsisactuallyacoldplace34Integers03YoucanenterasubtitlehereifyouneeditIntegersintherealworldNegativePositiveTemperatureBelow0degreesAbove0degreesSeaLevelBelows