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1、MetalMachineTechnologySt.ClairCountyTechnicalEducationCenterApril,2007MichiganMathematicsHighSchoolContentExpectationsEnhancedinCourseAlgebra1HSCECodeExpectationCommentL1.2.2Interpretrepresentationsthatreflectabsolutevaluerelationships(e.g.lx-al≤b,ora±b)insuchcontextsas
2、errortolerance.L2.1.6Recognizewhenexactanswersaren’talwayspossibleorpractical.Useappropriatealgorithmstoapproximatesolutionstoequations(e.g.,toapproximatesquareroots).GeometryHSCECodeExpectationCommentL3.1.1Convertunitsofmeasurementwithinandbetweensystems;explainhowarit
3、hmeticoperationsonmeasurementsaffectunits,andcarryunitsthroughcalculationscorrectly.G1.1.1Solvemulti-stepproblemsandconstructproofsinvolvingverticalangles,linearpairsofangles,supplementaryangles,complementaryangles,andrightangles.G1.1.2Solvemulti-stepproblemsandconstruc
4、tproofsinvolvingcorrespondingangles,alternateinteriorangles,alternateexteriorangles,andsame-side(consecutive)interiorangles.G1.1.3Performandjustifyconstructions,includingmidpointofalinesegmentandbisectorofanangle,usingstraightedgeandcompass.G1.1.4Givenalineandapoint,con
5、structalinethroughthepointthatisparalleltotheoriginallineusingstraightedgeandcompass.Givenalineandapoint,constructalinethroughthepointthatisperpendiculartotheoriginalline.Justifythestepsoftheconstructions.G1.1.6RecognizeEuclideangeometryasanaxiomsystem.Knowthekeyaxiomsa
6、ndunderstandthemeaningofanddistinguishbetweenundefinedterms(e.g.,point,line,andplane),axioms,definitions,andtheorems.Geometry(Continued)G1.2.1Provethattheanglesumofatriangleis180°andthatanexteriorangleofatriangleisthesumofthetworemoteinteriorangles.G1.2.2Constructandjus
7、tifyargumentsandsolvemulti-stepproblemsinvolvinganglemeasure,sidelength,perimeter,andareaofalltypesoftriangles.G1.2.5Solvemulti-stepproblemsandconstructproofsaboutthepropertiesofmedians,altitudesperpendicularbisectorstothesidesofatriangle,andtheanglebisectorsofatriangle
8、.Usingastraightedgeandcompass,constructtheselines.G1.3.1Definethesine,cosine,andtangentofacuteanglesinarighttr
