英文版数学课件8th gradeMath Subject for Middle School Real NumbersHere is where your presentation begins

8thgradeMathSubjectforMiddleSchool:RealNumbersHereiswhereyourpresentationbeginsWhoa!Thiscanbethepartofthepresentationwhereyouintroduceyourself,writeyouremail...TableofcontentsRepeatingdecimalstofractionsYoucandescribethetopicofthesectionhereUsingrootstosolveequationsYoucandescribethetopicofthesectionhereComparing,orderingandestimatingYoucandescribethetopicofthesectionhereRealnumberoperationsYoucandescribethetopicofthesectionhere01030204StudyapproachYoucangiveabriefdescriptionofthetopicyouwanttotalkabouthereRepeatingdecimalstofractions01EnterasubtitlehereifyouneeditAwesomewordsAboutfractionsDoyouknowwhathelpsyoumakeyourpointclear?Listslikethisone:They’resimpleYoucanorganizeyourideasclearlyYou’llneverforgettobuymilk!Andthemostimportantthing:theaudiencewon’tmissthepointofyourpresentation9h55m23sJupiter'srotationperiod333,000.000TheSun’smasscomparedtoEarth’s386,000kmDistancebetweenEarthandtheMoonConvertingrepeatingdecimalstofractionsIt’stheclosestplanettotheSunMercuryMarsDespitebeingred,MarsisacoldplaceVenusVenusisthesecondplanetfromtheSunJupiterIt’sthebiggestplanetofthemall3.123=3123-312900=2811900=937.3300.3=93730002EnterasubtitlehereifyouneeditUsingrootstosolverquations3904390461504Despitebeingred,MarsiscoldMarsVenusIt’sthesecondplanetfromtheSun√2484-215176--444880√a=bb=aCalculatingandapproximatingprincipalsquarerootsComparingandorderingfractionsMercuryistheclosestplanettotheSunandthesmallestintheSolarSystemMercury3835<3x+64x-4MercuryMercuryistheclosestplanettotheSunVenusVenusisthesecondplanetfromtheSunMarsDespitebeingred,MarsisactuallycoldUsingrootstosolveequations√=√3x+52x+6√=√1x-75x+3√=√EnterasubtitlehereifyouneeditComparing,orderingandestimating03-5Absolutevalue012345678-8-7-6-4-3-2-1Theabsolutevalueof5is5andtheabsolutevalueof-5is5.Bothare5awayfrom0.-5is5awayfrom05is5awayfrom04=42=25>1So…4.25>4.214.254.21ComparingandorderingdecimalsComparingandordering:scientificnotation3Movethedecimalpointtotheleft(positiveinteger)4500=4.5x10-2Movethedecimalpointtotheright(negativeinteger)0.0677=6.77x10150,000Bignumberscatchyouraudience’sattentionJupiterMercuryIt’stheclosestplanettotheSunVenusVenusisthesecondplanetfromtheSunJupiteristhebiggestplanetofthemallSaturnSaturnisagasgiantandhasringsMarsDespitebeingred,MarsisacoldplaceNeptuneNeptuneisthefarthestplanetfromtheSunComparingabsolutevalues-5<7-3>-1-3<47>1-2<-54>1√JupiterJupiteristhebiggestplanetofthemallNeptuneNeptuneisthefarthestplanetfromtheSunRadicals9√=3x3√3=75√=5x5x3√5=√324√=2x2x2x3√2=3333√48√=2x2x2x2x3√2=3444Apictureisworthathousandwords97≈100Saturnisagasgiantandhasrings49≈50Neptuneisfarawayfromus53≈50Venushasabeautifulname701≈700MarsisactuallyaverycoldplaceValue:rateperthousandpeopleUsingestimationforsituations(withrealnumbers)Operationswithrealnumbers04EnterasubtitlehereifyouneeditApplyingpropertiestosolveproblemswithrealnumbersPropertyAdditionMultiplicationCommutativepropertya+b=b+aaxb=bxaAssociativepropertya+(b+c)=(a+b)+cax(bxc)=(axb)xcDistributivepropertyax(b+c)=axb+axcax(b+c)=axb+axcIdentitypropertya+0=aax1=aInversepropertya+(-a)=0ax1/a=1MarsMarsisactuallyaverycoldplaceVenusVenushasabeautifulname80%20%Followthelinkinthegraphtomodifyitsdataandthenpastethenewonehere.Formoreinfo,clickhereThisisagraphPercentagesDespitebeingred,MarsisacoldplacePlutoisnowconsideredadwarfplanetVenusisthesecondplanetfromtheSunVenusPlutoMars48%25%35%VenusisthesecondplanetfromtheSunMercuryIt’stheclosestplanettotheSunMarsDespitebeingred,MarsisacoldplaceVenusIt’sthebiggestplanetofthemall15x8-12÷6+4240-2+16338+16454SimplifyingnumericalexpressionswithrealnumbersJupiter—SomeoneFamous“Thisisaquote,wordsfullofwisdomthatsomeoneimportantsaidandcanmakethereadergetinspired.”Whyisimportanttolearnaboutrealnumbers?Despitebeingred,MarsisacoldplacePlutoisnowconsideredadwarfplanet50%80%PlutoMarsMeettheteam!TutorYoucantalkabitaboutthispersonhereTeacherYoucantalkabitaboutthispersonhereMathsubjectappYoucanreplacetheimageonthescreenwithyourownwork.Right-clickonitandthenchoose"Replaceimage"(inGoogleSlides)or"ChangePicture"(inPPT)soyoucanaddyoursChatwithyourteacher!Youcanreplacetheimageonthescreenwithyourownwork.Right-clickonitandthenchoose"Replaceimage"(inGoogleSlides)or"ChangePicture"(inPPT)soyoucanaddyoursMathpracticeplatformYoucanreplacetheimageonthescreenwithyourownwork.Right-clickonitandthenchoose"Replaceimage"(inGoogleSlides)or"ChangePicture"(inPPT)soyoucanaddyoursThanks!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,Marsisactuallyacoldplace34Integers03YoucanenterasubtitlehereifyouneeditIntegersintherealworldNegativePositiveTemperatureBelow0degreesAbove0degreesSeaLevelBelowsealevelAbovesealevelDistanceBackwardForwardPro