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©HarcourtAchieveInc.Allrightsreserved.1SaxonMath5/4,Math6/5,Math7/6,andMath8/7ScopeandSequenceSaxonMath5/4SaxonMath6/5SaxonMath7/6SaxonMath8/7NumbersandOperationsNumeration••••Digits••••Readingandwritingnumbers••••Ordinalnumbers••••Placevalue••••Numberline••••Expandednotation••••OperationsAdditionAddendsandsum••••Addingwholenumbers••••Regrouping••••Addingdecimals••••Addingfractionsandmixednumbers••••Addingsignednumbers••Mentaladditionstrategies•••SubtractionDifference,subtrahend,andminuend••••Subtractingwholenumbers••••Regrouping(borrowing)••••Subtractingdecimals••••Subtractingfractionsandmixednumbers••••Subtractingsignednumbers••Mentalsubtractionstrategies••••MultiplicationMultiplicationasrepeatedaddition••••Factorsandproduct••••Multiplicationtable••••Regrouping••••Multiplicationnotations:axb,a·b,anda(b)••••Multiplyingwholenumbers••••Multiplyingdecimals•••Multiplyingfractionsandmixednumbers•••Multiplyingsignednumbers••Mentalmultiplicationstrategies••••DivisionDividend,divisor,andquotient••••Dividingwithwholenumbers••••Remainders••••©HarcourtAchieveInc.Allrightsreserved.2SaxonMath5/4SaxonMath6/5SaxonMath7/6SaxonMath8/7Dividingwithdecimals•••Dividingwithfractionsandmixednumbers•••Dividingwithsignednumbers••Mentaldivisionstrategies••••Divisionnotations:divisionbox,divisionsign,anddivisionbar••••PowersPowersasrepeatedmultiplication••••Baseandexponent••••Powersofwholenumbers••••Powersofdecimals••Powersoffractions••Negativeexponents•Scientificnotation•Relationshipofplacevaluetopowersof10••••RootsSquareroots••••Cuberoots•Index•Usingacalculatortofindroots••Masteringbasicfacts••••Orderofoperations••••Inverseoperations•••FractionConceptsFractionsandMixedNumbersReadingandwritingfractionsandmixednumbers••••Numeratoranddenominator••••Fractionalpartofawhole,group,set,ornumber••••Comparingandorderingfractions••••Equivalentfractions••••Reducing••••Improperfractions••••Leastcommondenominator••••Convertingfractionstodecimalsandpercents••••Reciprocals•••Complexfractions•DecimalsReadingandwritingdecimals••••Comparingandorderingdecimals••••Convertingdecimalstofractionsandpercents••••PercentsReadingandwritingpercents••••Identify/findpercentofawhole,group,set,ornumber••••©HarcourtAchieveInc.Allrightsreserved.3SaxonMath5/4SaxonMath6/5SaxonMath7/6SaxonMath8/7Convertingpercentstofractionsanddecimals••••Percentsgreaterthan100%••Percentofchange•Ratiosandproportions•••Rates•••EstimationRoundingwholenumbers••••Roundingdecimals••••Roundingmixednumbers•••Estimatingsums••••Estimatingdifferences••••Estimatingproducts••••Estimatingquotients••••Estimatingroots••Usingestimationtoverifyreasonablenessofcalculations••••Decidingwhetheranexactanswerorapproximateanswerisdesired•••NumberTheoryFactfamilies••••Evenandodd••••Factors,multiples,anddivisibility••••Primeandcompositenumbers•••Greatestcommonfactor(GCF)•••Leastcommonmultiple(LCM)•••Divisibilitytests•••Primefactorization••NumberSetsandNumberSystemsCountingnumbers(naturalnumbers)••••Wholenumbers••••Decimalnumbersystem••••Negativenumbers••••Integers•••Rationalnumbers•Irrationalnumbers••Realnumbers•Romannumerals••••Base5••Base2•MeasurementUnitsU.S.CustomaryLength(inch,foot,yard,mile)••••Capacity(cup,pint,quart,gallon)••••©HarcourtAchieveInc.Allrightsreserved.4SaxonMath5/4SaxonMath6/5SaxonMath7/6SaxonMath8/7Weight(ounce,pound,ton)••••MetricPrefixes(milli-,centi-,deci-,deka-,hecto-,kilo-)••••Length(meter)••••Capacity(liter)••••Mass(kilogram)••••TemperatureFahrenheitscale••••Celsiusscale••••KelvinscaleTimeSeconds,minutes,andhours••••Days,months,andyears••Decades,centuries,andmillennia••Digitalandanalogtimedisplays••Writingtimeofday•••Writingdates••Squareunits••••Cubicunits••••Degreesofarc••••Standardabbreviations••••Nonstandardunits••••UnitConversionConversionintheU.S.CustomarySystem••••Conversioninthemetricsystem••••Conversionbetweensystems••••Simplifyingmixedmeasures•••Unitmultipliers••Conversionbetweentemperaturescales•MeasuringLength••••Time•••Capacity•••Mass/weight•••Angles••••Rotation(clockwiseandcounterclockwise)•••Benchmarksformeasurements••••Measurementactivities••••Estimatingactivities••••Selectingappropriateunits••••Usingmetricscalestoreinforcedecimalconcepts•••Determiningwhethermeasuresarereasonable••••Determiningtheprecisionofameasuringtool•©HarcourtAchieveInc.Allrightsreserved.5SaxonMath5/4SaxonMath6/5SaxonMath7/6SaxonMath8/7IndirectMeasureScalefactor•••Usingsimilartriangles••Scaledrawings(two-dimensional)•••Scalemodels(three-dimensional)•••ToolsRuler(U.S.Customaryandmetric)••••Protractor••••Thermometer••••Balancescale••Measuringcup•••Stopwatch••GeometryBasicTermsPoints••••Segments••••Rays••••Lines••••Angles••••Planes•••LinesParallel,perpendicular,andintersecting••••Horizontal,vertical,andoblique•••Slope•AnglesAcute,obtuse,right,andstraight••••Complementaryandsupplementary••Anglesformedbytransversals••Calculatetofindunknownanglemeasures••Anglebisectors••Vertical•Adjacentangles•PolygonsDescribingandclassifying••••Drawing••••Sidesandvertices••••Perimeter••••Area••••Regular••••Similaritya
本文标题:Saxon-系列数学高年级知识点
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