FOURTH GRADE

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Española Public Schools714 Calle Don DiegoEspañola, New Mexico 87532Phone:505-753-2254Fax:505-747-3514Website: www.k12espanola.orgFOURTH GRADEMathematicsCurriculum GuideDeveloped: June 2016Page 1

Mathematics ResourcesAdopted CurriculumGrade Band ResourceCreative ClassroomPre K2013-2018District ContactK -62013-2018Office of Curriculum, Instruction &AssessmentMyra L. Martinez, AssociateSuperintendentMaryEllen Fresquez, Instructional CoachVivian Valencia, Instructional CoachWebsite:Office of Curriculum, Instruction &AssessmentMyra L. Martinez, AssociateSuperintendentMaryEllen Fresquez, Pre K 3-2018College Preparatory Math (CPM)CPM teacher log ice of Curriculum, Instruction &AssessmentMyra L. Martinez, AssociateSuperintendentRobert Quiñonez, CFVMS AssistantPrincipalCPM student log 03019-122013-2018College Preparatory Math (CPM)CPM teacher log in:http://textbooks.cpm.org/?238090954324249223CPM student log 0301Page 2Office of Curriculum, Instruction &AssessmentMyra L. Martinez, AssociateSuperintendentNancy Suazo, EVHS Department Chair

Mathematics ResourcesSupplemental Curriculum ResourcesGrade BandPre K2016-2021ResourceInsert ResourceWebsite: InsertInsert ResourceWebsite: InsertK -62016-2021Insert ResourceWebsite: InsertInsert ResourceWebsite: Insert7-82016-20219-122015-2020District Contact:Office of Curriculum, Instruction & AssessmentMyra L. Martinez, Associate SuperintendentMaryEllen Fresquez, Pre K CoordinatorLarry DeAguerro, Federal Programs (Title I)Deirdra Montoya, Special Education DirectorTBA, Assessment & RtI FacilitatorOffice of Curriculum, Instruction & AssessmentMyra L. Martinez, Associate SuperintendentMaryEllen Fresquez, Instructional CoachVivian Valencia, Instructional CoachLarry DeAguerro, Federal Programs (Title I)Deirdra Montoya, Special Education DirectorTBA, Assessment & RtI FacilitatorInsert ResourceWebsite: InsertOffice of Curriculum, Instruction & AssessmentMyra L. Martinez, Associate SuperintendentWebsite: InsertRobert Quiñonez, CFVMS Assistant PrincipalInsert Name, Edgenuity AdministratorLarry DeAguerro, Federal Programs (Title I)Deirdra Montoya, Special Education DirectorTBA, Assessment & RtI FacilitatorInsert ResourceWebsite:Office of Curriculum, Instruction & AssessmentMyra L. Martinez, Associate SuperintendentInsert Name, EVHS Department ChairInsert Name, Edgenuity AdministratorLarry DeAguerro, Federal Programs (Title I)Deirdra Montoya, Special Education DirectorTBA, Assessment & RtI FacilitatorWebsite: InsertPage 3

Mathematics ResourcesAssessment ResourcesGradeBandPre K2016-2021ResourceDistrict Contact:Insert ResourceWebsite: InsertOffice of Curriculum,Instruction & AssessmentMyra L. Martinez, AssociateSuperintendentMaryEllen Fresquez, Pre KCoordinatorPreK Observation & PortfoliosK-1Envisions:Topic Book AssessmentsTopic Mat AssessmentsRenaissance Learning:STAR EARLY LITERACY ault.aspx2-12Envisions:Topic Book AssessmentsTopic Mat Assessments (2nd)Renaissance 790/default.aspx3-11Page 4PARCCAssessment Contact:TBA, Assessment & RtIFacilitatorOffice of Curriculum,Instruction & AssessmentMyra L. Martinez, AssociateSuperintendentMaryEllen Fresquez,Instructional CoachVivian Valencia,Instructional CoachAssessment Contact:TBA, Assessment & RtIFacilitatorOffice of Curriculum,Instruction & AssessmentMyra L. Martinez, AssociateSuperintendentMaryEllen Fresquez,Instructional CoachVivian Valencia,Instructional CoachAssessment Contact:TBA, Assessment & RtIFacilitatorOffice of Curriculum,Instruction & AssessmentMyra L. Martinez, AssociateSuperintendentMaryEllen Fresquez,Instructional CoachVivian Valencia,Instructional Coach

Mathematics ResourcesAssessment Resources7-12End of Course Exams (EoC)College Prepatory Math (CPM)CPM teacher log in:http://textbooks.cpm.org/?238090954324249223CPM student log 0301Page 5Assessment Contact:TBA, Assessment & RtIFacilitatorOffice of Curriculum,Instruction & AssessmentMyra L. Martinez, AssociateSuperintendentMaryEllen Fresquez,Instructional CoachVivian Valencia,Instructional CoachAssessment Contact:TBA, Assessment & RtIFacilitator

Mathematics ResourcesAssessment Resources***Suggested Pacing ***Quarter123-4Page 6TopicsTopic 3Topic 4Topic 1Topic 2Topic 5Standards Addressed Numbers and Operations BaseTen Operations and AlgebraicThinkingTopic 5 (cont.)Topic 6Topic 7Topic 8Topic 9Topic 10Topic 10 (cont.)Topic 11Topic 12Topic 13Topic 14Topic 15Topic 16 Numbers and Operations BaseTen Operations and AlgebraicThinking Number and Operations BaseTen Number and OperationsFractions Measurement and Data Geometry

4th Grade Quarterly Mathematics PacingAt A GlanceTopicsTopicLearningTargetsPage 7Quarter 13 ,4 ,1, 2, 5Quarter 25 (cont.)6,7, 8, 9, 10Topics 3-4 Topic 5, 6,Students will7&8be able toStudentsread andwill multiplywrite largea 2- digit bywhole2- digit andnumbers in a 4-digit bystandard,a 1-digitwritten and number byexpandedusingform.equations,arrays andStudents will othercompare &models.round largewholeTopic 9 &numbers10StudentsTopics 1 & can find thequotient and2Students will remainderwhenmake anddividing a 4analyzedigitpatternswhen given dividendand 1-digita rule.divisor byStudents will usinguse the four equations,arrays andoperationsotheranddrawings to models.help themsolve for theunknown ina multistepQuarter 310 (cont.), 11,12, 13Topic 10Students canfind thequotient andremainderwhen dividing a4 digit-dividendand 1-digitdivisor by usingequations,arrays andother models.Quarter 414,15,16Topic 14Students cansolve problemsinvolvingmeasurementand conversionofmeasurement.Students canuse the fouroperations tosolve problemsthat involveTopic 11distance, time,Students willidentify a whole volumes,mass, andnumber is amoney.multiple ofeach of itsfactors.Topic 15Students canStudents willapply theidentify primeformulas to findand composite perimeter andnumbers.area.Students canidentifyequivalentfractionsTopic 12Students canshow the sumand differencebetween twoStudents canidentifyfractions andsolve problemsusing data on aline plot.Topic 16Students can

4th Grade Quarterly Mathematics PacingAt A Glancewordfractions withidentify anglesproblem.the samethat are formeddenominator.by 2 rays.Topic 5Students canStudents canStudents willadd andidentify andmultiply a 2subtract mixed draw points,digit by 2numbers withrays anddigit and alikeangles.4-digit by adenominators.1-digitStudents cannumber bymeasure andusingTopic 13draw anglesequations,Students canusing amultiply aarrays andprotractor.fraction by aotherwhole numbermodels.Students canby usingsolve additionmodels andand subtractionequations.problems tofind angles.Studentsidentify andStudents canconvertidentify 2dfractions intoshapes anddecimals.can draw linesStudents canof symmetry.compare 2decimals byusing the , , symbols.Page 8

Quarterly PacingFourth GradeQuarter 1GrDomain orConceptualThemeStnd#StandardI can StatementsCore Adopted ResourcesSupplemental ResourcesCore Adopted AssessmentSupplemental Assessments4Operations &AlgebraicThinking1CC.4.OA.1Use the four operationswith whole numbers tosolve problems. Interpret amultiplication equation asa comparison, e.g.,interpret 35 5 x 7 as astatement that 35 is 5times as many as 7 and 7times as many as 5.Represent verbalstatements ofmultiplicative comparisonsas multiplicationequations.CC.4.OA.2Use the four operationswith whole numbers tosolve problems. Multiply ordivide to solve wordproblems involvingmultiplicative comparison,e.g., by using drawingsand equations with asymbol for the unknownnumber to represent theproblem, distinguishingmultiplicative comparisonfrom additive comparison.I understand verbalstatements ofmultiplication and canshow them as equations.Q1TopicLesson: 1-1, 1-3, 1-7Grade 4 Mathematics Module 3 EngageNYAdopted ResourceAssessment:Focal Question:Writing to Explain:Quick Check 1-3Grade 4 MathematicsModule 3 EngageNYAssessment availableI can solve multiplicationword problems withdrawings.Q1TopicsLessons: 1-1, 6,8,9 & 10Q2TopicLesson: 9-6Adopted ResourceAssessment:Focal Question:Writing to Explain: QuickCheck 1-8Grade 4 MathematicsModule 3 EngageNY4Operations &AlgebraicThinkingPage 92I can solve multiplicationword problems withequations using a symbolfor the unknown.Topic D: Multiplication WordProblems (2 lessons)Grade 4 Mathematics Module 3 EngageNYTopic D: Multiplication WordProblems (2 lessons)Inside MathematicsMultiplication

Quarterly PacingFourth GradeQuarter 1GrDomain orConceptualThemeStnd#StandardI can StatementsCore Adopted ResourcesSupplemental ResourcesCore Adopted AssessmentSupplemental Assessments4Operations &AlgebraicThinking3CC.4.OA.3Use the four operationswith whole numbers tosolve problems. Solvemultistep word problemsposed with whole numbersand having whole-numberanswers using the fouroperations, includingproblems in whichremainders must beinterpreted. Representthese problems usingequations with a letterstanding for the unknownquantity. Assess thereasonableness ofanswers using mentalcomputation andestimation strategiesincluding rounding.I can solve multi-stepword problems using the 4operations.Q1Topic 1Lessons: 1-5, 6,8,9 &10Topic 2Lesson: 2-6Topic 4Lessons: 4-1, & 6Grade 4 Mathematics Module 3 EngageNYAssessment availableAdopted ResourcesAssessment:Focal Questions:Writing to Explain:Quick Check 6-5Grade 4 MathematicsModule 3 EngageNYAssessment availableAdopted ResourcesAssessment:Focal Question Writingto Explain: Quick checks11-1 (Factoring) 11-2(composite)Inside Mathematics Factors and Multiples4Operations &AlgebraicThinkingP a g e 104CC.4.OA.4Gain familiarity withfactors and multiples. Findall factor pairs for a wholenumber in the range 1100. Recognize that awhole number is a multipleof each of its factors.Determine whether agiven whole number in therange 1-100 is a multipleof a given one-digitnumber. Determinewhether a given wholenumber in the range 1-100is prime or composite.I can solve problemsusing equations with asymbol standing for theunknown.I can assess my workusing mental math,estimation & rounding.I can find all factor pairsfor whole numbers 1-100.I know and can show thata whole number is amultiple of each of itsfactors.I can decide if a wholenumber between 1-100 isa multiple of a 1-digitnumber.I can tell whether anumber between 1-100 isprime or composite.Topic F: Addition and SubtractionWord Problems (3 lessons)Number and OperationsQ2Topic 5Lessons: 5-4 & 6Topic 6Lessons: 6-2,3& 5Topic 7Lessons: 7-2,3,4& 5Topic 8Lesson:8-5Topic 9Lessons: 9-1,2,3& 6Topic 10Lesson: 10-8Q1Topic 1Lessons: 1-4 & 7Q3Topic 11Lessons: 11-1,2 &3Mr. Nussbaum Math Games bystandardPBS Common FactorsMr. Nussbaum Math Games bystandard

Quarterly PacingFourth GradeGrDomain orConceptualThemeStnd#StandardI can StatementsCore Adopted Resources4Operations &AlgebraicThinking5CC.4.OA.5Generate and analyzepatterns. Generate anumber or shape patternthat follows a given rule.Identify apparent featuresof the pattern that werenot explicit in the ruleitself. For example, giventhe rule “Add 3” and thestarting number 1,generate terms in theresulting sequence andobserve that the termsappear to alternatebetween odd and evennumbers. Explaininformally why thenumbers will continue toalternate in this way.CC.4.NBT.1Generalize place valueunderstanding for multidigit whole numbers.Recognize that in a multidigit whole number, a digitin one place representsten times what itrepresents in the place toits right. For example,recognize that 700 70 10 by applying concepts ofplace value and division.(Grade 4 expectations inthis domain are limited towhole numbers less thanor equal to 1,000,000.)I can make and analyzepatterns that follow agiven rule.Q1Topic 1Lessons: 1-2 & 5Topic 2Lessons: 2-1 &6Q3Topic 11Lessons: 11-1 & 24Numbers &Operations inBase TenP a g e 111Quarter 1Supplemental ResourcesGuess My Rule GameKahn Academy Math PatternsCore Adopted AssessmentSupplemental AssessmentsAdopted ResourcesAssessment:Focal Question Writingto Explain: Quick CheckTopic 2-5Inside Math- SingleQuestion- PatternsMr. Nussbaum Math Games bystandardKahn Academy MathPatternsInside MathematicsHexagon PatternsInside MathematicsButton PatternI can explain that in amulti-digit number, a digitin one place representsten times what itrepresents in the place toits right.Q1Topic 3Lesson:3-1,2 &6Q2Topic 10Lesson: 10-3Grade 4 Mathematics Module 1 EngageNYAdopted ResourcesAssessment:Focal Question:Writing to Explain:Quick Check Topic 3-2Grade 4 MathematicsModule 1 EngageNY

Quarterly PacingFourth GradeQuarter 1GrDomain orConceptualThemeStnd#StandardI can StatementsCore Adopted ResourcesSupplemental Resources4Numbers &Operations inBase Ten2CC.4.NBT.2Generalize place valueunderstanding for multidigit whole numbers.Read and write multi-digitwhole numbers usingbase-ten numerals,number names, andexpanded form. Comparetwo multi-digit numbersbased on meanings of thedigits in each place, using , , and symbols torecord the results ofcomparisons. (Grade 4expectations in thisdomain are limited towhole numbers less thanor equal to 1,000,000.)CC.4.NBT.3Generalize place valueunderstanding for multidigit whole numbers. Useplace value understandingto round multi-digit wholenumbers to any place.(Grade 4 expectations inthis domain are limited towhole numbers less thanor equal to 1,000,000.)I can read & write largewhole numbers.Q1Topic 3Lessons: 3-1,2,3,4Grade 4 Mathematics Module 1 EngageNY4Numbers &Operations inBase TenP a g e 123I can read & write thenames for large wholenumbers.Topics A: Place Value of Multi-DigitNumbers (4 lessons)Supplemental AssessmentsAdopted ResourcesAssessment:Focal Questions:Writing to Explain: QuickChecks Topic 3-1,2,3 & 4(all address this standard)Grade 4 MathematicsModule 1 EngageNYAdopted ResourcesAssessment:Focal Question:Writing to Explain: QuickCheck Topic 3-5 Topic 4-3Rounding (optional)Grade 4 MathematicsModule 1 EngageNYTopic B: Comparing Multi-DigitNumbers (2 lessons)Grade 4 Teaching Resources2 activities -Place Value & Word andExpanded FormI can write large wholenumbers in expandedform.I can compare largenumbers using thesymbols , , I can round large wholenumbers to any place.Core Adopted AssessmentQ1Topic 3Lesson: 3-5Topic 4Lessons: 4-1 & 2Q2Topic 5Lessons: 5-4,5 & 6Topic 6Lesson: 6-6Topic 7Lessons: 7-3 &4Teacher Resources 4th GradeGrade 4 Mathematics Module 1 EngageNYTopic C: Rounding Multi-DigitNumbers (4 lessons)

Quarterly PacingFourth GradeQuarter 1GrDomain orConceptualThemeStnd#StandardI can StatementsCore Adopted ResourcesSupplemental ResourcesCore Adopted AssessmentSupplemental Assessments4Numbers &Operations inBase Ten4CC.4.NBT.4Use place valueunderstanding andproperties of operations toperform multi-digitarithmetic. Fluently addand subtract multi-digitwhole numbers using thestandard algorithm.(Grade 4 expectations inthis domain are limited towhole numbers less thanor equal to 1,000,000. Arange of algorithms maybe used.)I can add and subtractlarge whole numbers.Q1Topic 4Lessons: 4-2,3 & 6Teacher Resources 4th GradeAdopted ResourcesAssessment:Focal Question:Writing to Explain: QuickCheck Topic 4-3 (adding)4-5 (subtracting)Grade 4 MathematicsModule 1 EngageNYP a g e 13Grade 4 Mathematics Module 1 EngageNYTopic D: Multi-Digit Addition (2lessons)Topic E: Multi-Digit Subtraction (4lessons)

Quarterly PacingFourth GradeQuarter 2GrDomain orConceptualThemeStnd#StandardI can StatementsCore Adopted ResourcesSupplemental ResourcesCore s &AlgebraicThinking2CC.4.OA.2Use the four operationswith whole numbers tosolve problems. Multiply ordivide to solve wordproblems involvingmultiplicative comparison,e.g., by using drawings andequations with a symbol forthe unknown number torepresent the problem,distinguishing multiplicativecomparison from additivecomparison.CC.4.OA.3Use the four operationswith whole numbers tosolve problems. Solvemultistep word problemsposed with whole numbersand having whole-numberanswers using the fouroperations, includingproblems in whichremainders must beinterpreted. Representthese problems usingequations with a letterstanding for the unknownquantity. Assess thereasonableness of answersusing mental computationand estimation strategiesincluding rounding.I can solve multiplicationword problems withdrawings.Q1TopicsLessons: 1-1, 6,8,9 & 10Grade 4 MathematicsModule 1 EngageNYGrade 4 MathematicsModule 1 EngageNYI can solve multiplicationword problems withequations using a symbolfor the unknown.Adopted ResourceAssessment:Focal Question:Writing to Explain: QuickCheck 1-8Q2TopicLesson: 9-6Adopted ResourcesAssessment:Focal Questions:Writing to Explain: QuickCheck 6-5Grade 4 MathematicsModule 1 EngageNY4Operations &AlgebraicThinkingP a g e 143I can solve multi-step wordproblems using the 4operations.I can solve problems usingequations with a symbolstanding for the unknown.I can assess my workusing mental math,estimation & rounding.Q1Topic 1Lessons: 1-5, 6,8,9 &10Topic 2Lesson: 2-6Topic 4Lessons: 4-1, & 6Grade 4 MathematicsModule 1 EngageNYTopic F: Addition andSubtraction Word Problems (3lessons)Number and OperationsQ2Topic 5Lessons: 5-4 & 6Topic 6Lessons: 6-2,3& 5Topic 7Lessons: 7-2,3,4& 5Topic 8Lesson:8-5Topic 9Lessons: 9-1,2,3& 6Topic 10Lesson: 10-8Inside MathematicsMultiplication

Quarterly PacingFourth GradeQuarter 2GrDomain orConceptualThemeStnd#StandardI can StatementsCore Adopted ResourcesSupplemental ResourcesCore AdoptedAssessmentSupplementalAssessments4Numbers &Operations inBase Ten1CC.4.NBT.1Generalize place valueunderstanding for multi-digitwhole numbers. Recognizethat in a multi-digit wholenumber, a digit in one placerepresents ten times what itrepresents in the place toits right. For example,recognize that 700 70 10 by applying concepts ofplace value and division.(Grade 4 expectations inthis domain are limited towhole numbers less than orequal to 1,000,000.)CC.4.NBT.3Generalize place valueunderstanding for multi-digitwhole numbers. Use placevalue understanding toround multi-digit wholenumbers to any place.(Grade 4 expectations inthis domain are limited towhole numbers less than orequal to 1,000,000.)I can explain that in a multidigit whole number, a digitin one place represents tentime what it represents inthe place to its right.Q1Topic 3Lesson:3-1,2 &6Grade 4 MathematicsModule 3 EngageNYAdopted ResourcesAssessment:Focal Question:Writing to Explain: QuickCheck Topic 3-2Grade 4 MathematicsModule 3 EngageNYAdopted ResourcesAssessment:Focal Question:Writing to Explain: QuickCheck Topic 3-5 Topic 4-3Rounding (optional)Grade 4 MathematicsModule 1 EngageNY4Numbers &Operations inBase TenP a g e 153Q2Topic 10Lesson: 10-3I can round large wholenumbers to any place.Q1Topic 3Lesson: 3-5Topic 4Lessons: 4-1 & 2Q2Topic 5Lessons: 5-4,5 & 6Topic 6Lesson: 6-6Topic 7Lessons: 7-3 &4Mr. Nussbaum Math Gamesby standardTeacher Resources 4thGradeGrade 4 MathematicsModule 1 EngageNYTopic C: Rounding MultiDigit Numbers (4 lessons)

Quarterly PacingGr4Domain orConceptualThemeNumbers &Operations inBase TenP a g e 16Fourth GradeStnd#5StandardCC.4.NBT.5Use place valueunderstanding andproperties of operations toperform multi-digitarithmetic. Multiply a wholenumber of up to four digitsby a one-digit wholenumber, and multiply twotwo-digit numbers, usingstrategies based on placevalue and the properties ofoperations. Illustrate andexplain the calculation byusing equations,rectangular arrays, and/orarea models. (Grade 4expectations in this domainare limited to wholenumbers less than or equalto 1,000,000. A range ofalgorithms may be used.)I can StatementsCore Adopted ResourcesI can explain my answer byus

4 Operations & Algebraic Thinking 3 CC.4.OA.3 Use the four operations with whole numbers to solve problems. Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interprete

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