algebra 1 unit 3 systems of equations：1单元3的代数方程组

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1、8thGradeMathUnit1:MovingStraightAheadEnduringUnderstanding(BigIdea):Studentswillbeabletounderstandtheconnectionsbetweenlinearequationsandthepatternsinthetablesandgraphsofthoseequationsandusethemtosolveproblems.EssentialQuestions:Whatarethevariablesintheproblem?Dothevariablesintheproble

2、mhavealinearrelationshiptoeachother?Whatpatternsintheproblemsuggestthatitislinear?Howcanthelinearpatternberepresentedinaproblem,inatable,inagraph,orwithanequation?Howdochangesinonevariableaffectchangesinarelatedvariable?Howarethesechangescapturedinatable,graph,orequation?Howcantables,g

3、raphs,andequationsoflinearrelationshipsbeusedtoexpressandanswerquestions?BYTHEENDOFTHISUNIT:Studentswillbeableto…·Recognizeproblemsituationsinwhichtwoormorevariableshavealinearrelationshiptoeachother·Constructtables,graphs,andsymbolicequationsthatexpresslinearrelationships·Translateinf

4、ormationaboutlinearrelationsgiveninatable,agraph,oranequationtooneoftheotherforms·Understandtheconnectionsbetweenlinearequationsandthepatternsinthetablesandgraphsofthoseequations:rateofchange,slope,andy-intercept·Solvelinearequations·Solveproblemsandmakedecisionsaboutlinearrelationship

5、susinginformationgivenintables,graphs,andsymbolicexpressions·Usetables,graphs,andequationsoflinearrelationstoanswerquestionsStudentswillknow…y=mx+b;m=slopeandb=y-interceptVocabulary:CoefficientConstanttermSlopeLinearRelationshipY-interceptLinearEquationMathematicalPracticesFocus:1.Make

6、senseofproblemsandpersevereinsolvingthem2.Reasonabstractlyandquantitatively3.Constructviableargumentsandcritiquethereasoningofothers4.Modelwithmathematics5.Useappropriatetoolsstrategically6.Attendtoprecision7.Lookforandmakeuseofstructure8.LookforandexpressregularityinrepeatedreasoningU

7、nitResourcesLearningTask:·MathematicalReflectionsPerformanceTask:·Check-Up(s)/PartnerQuiz/UnitTestProject:·UnitProject:ConductinganExperimentUnitReview:·LookingBackLookingAhead*IfMSAwastaughtin7thgrade–pleaseseepage4.Successivepagescontainanunpackingofthestandardscontainedintheunit.S