activity 2 the vertex and axis of symmetry：活动2顶点和对称轴

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1、AlgebraIIModule1:Polynomial,Rational,andRadicalRelationshipsUnitDescription:Inthismodule,studentsdrawontheirfoundationoftheanalogiesbetweenpolynomialarithmeticandbasetencomputation,focusingonpropertiesofoperations,particularlythedistributiveproperty(A‐APR.1,ASSE.2).S

2、tudentsconnectmultiplicationofpolynomialswithmultiplicationofmulti‐digitintegers,anddivisionofpolynomialswithlongdivisionofintegers(A‐APR.1,A‐APR.6).Studentsidentifyzerosofpolynomials,includingcomplexzerosofquadraticpolynomials,andmakeconnectionsbetweenzerosofpolynom

3、ialsandsolutionsofpolynomialequations(A‐APR.3).Theroleoffactoring,asbothanaidtothealgebraandtothegraphingofpolynomials,isexplored(A‐SSE.2,A‐APR.2,A‐APR.3,F‐IF.7c).Studentscontinuetobuilduponthereasoningprocessofsolvingequationsastheysolvepolynomial,rational,andradica

4、lequations,aswellaslinearandnon‐linearsystemsofequations(A‐REI.1,A‐REI.2,A‐REI.6,A‐REI.7).Themoduleculminateswiththefundamentaltheoremofalgebraastheultimateresultinfactoring.Connectionstoapplicationsinprimenumbersinencryptiontheory,Pythagoreantriples,andmodelingprobl

5、emsarepursued.Anadditionalthemeofthismoduleisthatthearithmeticofrationalexpressionsisgovernedbythesamerulesasthearithmeticofrationalnumbers.Studentsuseappropriatetoolstoanalyzethekeyfeaturesofagraphortableofapolynomialfunctionandrelatethosefeaturesbacktothetwoquantit

6、iesintheproblemthatthefunctionismodeling(F‐IF.7c).References:EngageNY.org“©2013CommonCore,Inc.Somerightsreserved.commoncore.org2008LouisianaStateComprehensiveCurriculumCommonCoreStateStandardsTheCommonCoreClarifyingExpectationsforTeachersandStudentsMath.(Align,A

7、ssess,Achieve,LLC).www.QualityInstruction.orgAswellasresourcesfromthefollowingstates:Ohio,Tennessee,NorthCarolina,Connecticut,ArizonaModule1:Polynomial,Rational,andRadicalRelationships1CommonCoreEnduringUnderstandingsandEssentialQuestionsfortheMathematicalPractices

8、:MathematicalPracticeEnduringUnderstandingEssentialQuestion#1MakessenseofSolvingamathematicalprobleminvolvesmakingsenseofMathematic