资源描述：
《lesson1definition–-math1节定义–数学》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。
1、ProjectAMPDr.AntonioR.Quesada–Director,ProjectAMPLinearPiecewiseFunctionsI.LessonPlan1.IntroductiontoPiecewiseFunctions2.LessonSummary:Studentsgraphpiecewisefunctionsbyhandandonthecalculator,writefunctionsbasedonagivengraph,andmodelwithpiecewisefunctionstoanswerreal-lifeapplications.3.Piecewise,do
2、main,function4.Studentsshouldhaveknowledgeoftheparentfunctions:linear,quadratic,trigonometric,exponential,logarithmic,power,andrational.Theyshouldalsobeabletodotransformationswiththesefunctions.Thestudentsneedtobefamiliarwithdomainandrangeoffunctions.Studentsneedtobeabletographinthecoordinateplane
3、andonthecalculator.5.Patterns,Functions,andAlgebra8thgrade3.Identifyfunctionsaslinearornonlinearbasedoninformationgiveninatable,graphorequation.14.Differentiateandexplaintypesofchangesinmathematicalrelationships,suchaslinearvs.nonlinear,continuousvs.non-continuous,directvariationvs.inversevariatio
4、n.9thgrade3.Describeproblemsituations(linear,quadraticandexponential)byusingtabular,graphicalandsymbolicrepresentations.10thgrade2.Describeandcomparecharacteristicsofthefollowingfamiliesoffunctions:squareroot,cubic,absolutevalueandbasictrigonometricfunctions;e.g.,generalshape,possiblenumberofroots
5、,domainandrange.6.a)Studentswilllearnhowtographapiecewisefunctionbasedoneachpiecewithaspecificdomain.b)Studentswillbeabletowriteapiecewisefunctionwithproperdomainbasedonagraph.c)Studentswillbeabletousepiecewisefunctionstomodelandanswerquestionsgivenareal-lifesituation.d)Studentswillbeabletographap
6、iecewisefunctionontheircalculator.7.Calculator8.a)Definitionsaregivenfirst.Applicationsarelater.b)Groupsofthree9.Informal,Reflective,Formative,Self-guidedinvestigationProjectAMPDr.AntonioR.Quesada–Director,ProjectAMPLesson1:IntroductiontoPiecewiseFunctionsGoal:Tofamiliarizethestudentswiththebasici
7、deasinvolvedwithpiecewisefunctions.Definition–Thefollowinggraphiscalledapiecewisefunctionbecausethefunctionisdefinedbytwoormoredifferentequationsappliedtodifferentpartsofthefunction’sdomain.Noticethatitappearstob
