analytic geometry - thomas county schools：解析几何-托马斯县学校

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1、CCGPSAnalyticGeometrySyllabusandClassExpectationsTeacherLouiseY.L.Phillips,229225-5050,ext.139lphillips@thomas.k12.ga.usSyllabusDisclaimerAsyllabusisnotacontractbetweenteacherandstudent,butratheraguidetocourseproceduresonattendance,participation,requirements,grading,goalsandobjectives.Themathematics

2、departmentreservestherighttoamendthesyllabuswhennecessarytobestfulfillthecourseobjectives.Studentswillbedulynotified.CourseDescriptionAnalyticgeometryconnectsalgebraandgeometry,resultinginpowerfulmethodsofanalysisandproblemsolving.Thisisthesecondcourseinasequenceofthreehighschoolcoursesdesignedtoens

3、urecareerandcollegereadiness.Thecourseembodiesadiscretestudyofgeometryanalyzedbymeansofalgebraicoperationswithcorrelatedprobability/statisticsapplicationsandabridgetothethirdcoursethroughalgebraictopics.Thecourserequiresthatstudents:·Extendthepropertiesofexponentstorationalexponents·Usepropertiesofr

4、ationalandirrationalnumbers;performarithmeticoperationswithcomplexnumbers·Usecomplexnumbersinpolynomialidentitiesandequations·Understandcongruenceintermsofrigidmotions·Provegeometrictheorems·Makegeometricconstructions·Understandsimilarityintermsofsimilaritytransformationsandprovetheoremsinvolvingsim

5、ilarity·Definetrigonometricratiosandsolveproblemsinvolvingrighttriangles·Understandandapplytheoremsaboutcircles;findarclengthsandareasofsectorsofcircles·Translatebetweenthegeometricdescriptionandtheequationforaconicsection·Usecoordinatestoprovesimplegeometrictheoremsalgebraically·Explainvolumeformul

6、asandusethemtosolveproblems·Interpretthestructureofexpressions;writeexpressionsinequivalentformstosolveproblems·Performarithmeticoperationsonpolynomials·Createequationsthatdescribenumbersorrelationships·Solveequationsandinequalitiesinonevariableandsystemsofequations·Interpretfunctionsthatariseinappl

7、icationsintermsofthecontext·Analyzefunctionsusingdifferentrepresentations·Buildafunctionthatmodelsarelationshipbetweentwoquantities;buildnewfunctionsfromexistingfunctions·Constructandcomparelinear,qua