Math-Grade-2-PATTERNS_zxzxzzzz1212zxzxdz

MarkAngeloHaban 19 views 16 slides Mar 07, 2025
Slide 1
Slide 1 of 16
Slide 1
1
Slide 2
2
Slide 3
3
Slide 4
4
Slide 5
5
Slide 6
6
Slide 7
7
Slide 8
8
Slide 9
9
Slide 10
10
Slide 11
11
Slide 12
12
Slide 13
13
Slide 14
14
Slide 15
15
Slide 16
16

About This Presentation

Math


Slide Content

In progress
RevisionDate:4/4/2024
CurriculumPlanning&
AssessmentResource
Mathematics
Grade2

In progress
CurriculumPlanning&AssessmentResource
Mathematics
Grade2Pattern1
AboutThisDocument
ThisCurriculumPlanning&AssessmentResourceisintendedtobeacollectionofsampleactivities,assessments,andresourcesthatteachersmaywishtouseastheydeveloptheirunitplans.This
documentisnotintendedtobeasequentiallistofactivities.Rather,theintentisthatteacherschoosefromthisresourcewhatisappropriatefortheircontext,andsequenceitintheirplanning.
Thesampleactivities,assessmentsandresourcesincludedinthisdocumenthaveundergoneaninitialreviewtodetermineappropriatenessandalignmenttothecurriculum.However,itisexpectedthat
teachersusetheirprofessionaljudgmentinselectingactivities,assessmentsandresourcesthatareappropriatefortheircontext.
Whileeveryattempthasbeenmadetoprovidecreditandreceivepermissions,someerrorsoromissionsmayhaveoccurred.Pleasecontactinfo@arpdc.ab.catoreportanyerrororomissions.
TableofContents ImportantLinks
ImportantLinks 3
Introduction 3
KUSPs2P1.1 4
KUSPs2P1.2 11
LiteratureConnections 16
NewLearnAlbertaProgressions
●CompetencyProgressions
●NumeracyProgressions
●LiteracyProgressions
RecordedVideo:
●HowtoReadtheseCurriculumPlanning&AssessmentResources
PlannersandConceptMaps
●K-3MathPlanners
●4-6MathPlanners(underdevelopment)
●AssessmentPlanners(underdevelopment)
●K-3MathActionVerbsand4-6MathVerbResources
CurriculumProgressions
●SkillsandProceduresProgressionK-3(underdevelopment)
●ConceptProgressions(underdevelopment)
InteractiveNumberedOutcomesDocumentwithSkills
Acknowledgements
Thankyoutoalltheteachers,numeracyspecialists,andtechnicalexpertisefromAlbertaschooldivisionsandARPDCwhocollaboratedtodevelop,review,andrevisethese
planningandassessmentdocumentstosupportcurriculumimplementation.
2

In progress
Grade2Patterns1
OrganizingIdea
Patterns:Awarenessofpatternssupportsproblemsolvinginvarioussituations.
GuidingQuestion
Howcanpatternscharacterizechange?
LearningOutcome
2P1Studentsexplainandanalyzepatternsinavarietyofcontexts.
SummativeAssessment(s)-Transfer(InProgress)
Summativeassessmentscanincludethefollowing.
● Understanding/makingsenseofanovelcontextfromtherealworldusingoneormoreconcepts(eg.“Howareplacevalueandmoneyrelated?).
● Understanding/makingsenseofanovelcontextusingoneormoreunderstandings(eg.Studentsusemoneytomodeltheconversionofbase10valuesandrelatethemtobase10block’).
● Beingabletodescribewhy(linkingconcepts)somethingistrue,aresult,orwhatmightbeanextensionusinglearnedconceptsandunderstandings.
● Applylearning(createproducts;undertakeprojects;takingactionsuchascreatingacampaign)inanovelcontextortakingactionusingtheunderstanding(s).
● Constructargumentsbytakingapositionandverifying/provingitwithknownunderstandings.
SummativeAssessment(s) [understandingsurfacevsdeepvstransfer]
2P1-RepeatingPatternProblem 2P1-GrowingPatternProblem
3

In progress
Clicktojump!
KUSP2P1.1
KUSP2P1.2
LiteratureConnections
KUSP2P1.1
AssumableCurriculum/PrerequisiteKnowledge/Vocabulary
Understandingofrepeatingpatternsandrepeatingcycles(seasonal,lifecycles,night/daycycles),identifyingthepatterncore,extendingapatterncore,andidentifyingthemissingelementinarepeatingpattern.
StudentLanguage|Essentialvocabulary&concepts
●Attributes:thecharacteristicsofobjectsthatallowthemtobesorted
●Element:oneoftheobjectsornumbersinasetorpattern
●Core:thesmallestpartofapatternthatrepeats
●Pattern:arepeatedsequenceorarrangementaboutwhichpredictionscanbe
made
●Repeatingpattern:apatternwithacorethatrepeats
●Growingpattern:apatternthatsomethingisaddedeachtimethesequence
repeats
●Decreasingpattern:apatternthatsomethingisremovedeachtimethe
sequencerepeats
IKnowStatements|Metacognition
●Iknowapatterncanbenonrepeatingorrepeating.
●Iknowapatterncanincreaseordecrease.
NelsonPre-Assessments
Pre-Assessments2|Book:FindingEachStudentsPathway
CoreofaRepeatingPattern-p.19
WhatIstheCore?-p.20
NelsonLeapsandBoundsPageswillbereferencedinthePreAssessmentsanswer
Keyforfollowupforemerginglearners.
ICanStatements|Skills
●Icanidentifyanddescribeanonrepeatingpattern.
●Icanidentifyapatternaseitherincreasing(growing)ordecreasing.
●Icancreateagrowingpatternordecreasingpattern.
●Icanexplaintheruleforagrowingordecreasingpattern.
●Icanidentifyandexploredifferentpatternsinthehundredschart.
LearningRecovery Enhancement
4

In progress
LearningOutcome2P1.1Studentsexplainandanalyzepatternsinavarietyofcontexts.
Knowledge UnderstandingSkills&Procedures AchievementIndicators IllustrativeExamples Assessments
(Explainer)
Changecanbean
increaseoradecrease
inthenumberandsize
ofelements.
Ahundredschartisan
arrangementofnatural
numbersthatillustrates
multiplepatterns.
Patternscanbefound
andcreatedincultural
designs.
Apatterncanshow
increasingor
decreasingchange.
Apatternismore
evidentwhenthe
elementsare
represented,
organized,aligned,or
orientedinfamiliar
ways.
Describenon
repeatingpatterns
encounteredin
surroundings,
includinginart,
architecture,cultural
designs,andnature.
Identifyanddescribenonrepeating
patternsinavarietyofgivencontexts
(e.g.,nature,art,patternsin
Indigenousdesigns,andarchitecture).
NONREPEATINGPATTERNS
InfusingIndigenousKnowledgeintoCurriculum
Website:
InfusingIndigenousKnowledge(grade2materials)
Findobjects,describeandidentifydesignsandpatternsinthe
environmentandontheland(naturewalks):
●Trees,leaves,branches,pineneedles
●Smallanimals,insects,fish(spotsonsquirrelsand
chipmunks,fishscales)
●Sky–dayornight(stars,moon)
Lookatindigenouspatterns
Non-RepeatingPatternsslidedeck-Deep
(collaborativeassessment)
PDFSlideDeck(PDF)
5

In progress
Createandexpress
growingpatterns
usingsounds,
objects,pictures,or
actions.
Createagrowingpatternusingobjects,
sounds,pictures,oractions.
Createadecreasingpatternusingobjects,
sounds,pictures,oractions.
Shapes:
Size:canbequantityorsizeofobjects
Actions:
snap,clap
snap,clap,clap,
snap,clap,clap,clap
DecreasingPatterns:
2P1.1bGrowingPatterns(surface&deep)
6

In progress
Explaintheruleusedtocreateagiven
growingpatternordecreasingpattern.
Addthreeacorns
Addonegreenbead
Addtwodimes
Subtracttwosquares
Grade2MathematicsSupportDocumentforTeachers-ManitobaEducation
7

In progress
Representagivengrowingpattern,using
anothermode(e.g.,sounds,actions,
objects,pictures).
TheexamplesbelowrepresentAB,ABB,ABBB,...
growingpatterns:
snap,clap
snap,clap,clap,
snap,clap,clap,clap
PrestoChange-o!Page17Grade2Patterns&Relations:
Grade2MathematicsSupportDocumentforTeachers-
ManitobaEducation
Investigatepatterns
inahundredschart.
Investigatenumericalpatternsina
hundredschart.
Patternsonthehundredschart:
●Foreachrow,lefttoright,numbersincreaseby1
●Foreachrowrighttoleft,numbersdecreaseby1
●Foreachcolumn,toptobottom,numbersincrease
by10
●Foreachcolumn,bottomtotop,numbersdecrease
by10
●Skipcountingpatterns,2,5,10…
●Onthediagonalfromlefttorightnumbersincrease
by11
●Onthediagonalfromrighttoleftnumbersincrease
by9
2P1.1cPatternsinTables(deep)
8

In progress
Resources
Mathology
ARPDCMathLittleBooksforAlbertaCurriculum
MathologyFreeResourcesonNewLearnAlberta
MathologyLittleBooks
MathologyLittleBook:PatternQuest
MathologyLittleBook:TheBestSurprise
MathUP
Grade2:Patterns
Lesson2:DescribingIncreasingPatterns
Lesson3:RepresentingIncreasingPatterns
Grade4:Patterns
Lesson2:PatternsinChartsandonNumberLines
NumberTalks:
●Select:Activities-NumberTalks-Grade2-Patterns
●NumberTalks21and23
ExistingTextbooks
MathMakesSense3-Unit1
MathFocus3-Chapter1
NCETM(teacherguidesandresources)
PatternProgressionsinEarlyYearshttps://ncetm.org.uk/classroom-resources/ey-pattern/
EarlyYears/Primary
●Thefocusinthissectionisonrepeatingpatterns,progressingfromchildrencopyingsimplealternatingAB
patternstoidentifyingdifferentstructuresinthe‘unitofrepeat’,suchasABBorABBC.Patternscanbemade
withobjectslikecolouredcubes,smalltoys,buttonsandkeys,andwithoutdoormaterialslikepinecones,
leavesorlargeblocks,aswellaswithmovementsandsounds,linkingwithmusic,dance,phonicsandrhymes.
Childrencanalsospotandcreatepatternsinarangeofothercontexts,suchasprintedpatterns,timetables,
numbersandstories.
IndigenousLessonPlansandResources
Comingsoon
ProblemSolving
Comingsoon
ResourcesDevelopedbySchoolDivisions/EducationalInstitutions
LearnAlbertaPlanningGuide:Grade2IncreasingPatterns(previousprogramofstudies)
EdmontonCatholicPacingGuides
EdmontonCatholicCurriculumCrates
LearnAlbertaCurriculum
APRDCNewCurriculumProfessionallearningResources
AlbertaTeachersAssociationLibraryK-3Mathematics&GeneralMathematicsResources
MathematicsandNumeracy-NewCurriculumToolkit
9

In progress
Websites/Other
PatterningintheHundredChart,fromMindsetMathematics,Grade1byJoBoaler,JenMunson,andCathy
Williams(pages205-212)ISBN:978-1119358626
GIZMOs
NewLearnAlberta(TeacherLoginRequired)
PatternFlip
CritterCount(ModelingMultiplication)
ExploreLearningGizmosSite:
FindingPatterns
ForaccesstoadditionalresourceslogintoGizmosaccount.Requestanaccountalberta@explorelearning.com
10

In progress
Clicktojump!
KUSP2P1.1
KUSP2P1.2
LiteratureConnections
KUSP2P1.2
AssumableCurriculum/PrerequisiteKnowledge/Vocabulary
●ReviewextendingrepeatingpatternsfromGrade1.
●Maywanttocontinueteachingthecomponentof“extending”patterns,aswellas“findingmissingelements”fromgradeone.
●Considerallattributeswhenrepeatingpatterns:size,orientation,shapeandcolour.
StudentLanguage|Essentialvocabulary&concepts
●Core:thesmallestpartofapatternthatrepeats
●Element:oneoftheobjectsornumbersinasetorpattern
●Attributes:thecharacteristicsofobjectsthatallowthemtobesorted
●Repeatingpattern:apatternwithacorethatrepeats
IKnowStatements|Metacognition
●Iknowarepeatingpatterncorecanhavemorethanoneattribute.
Pre-Assessments
NelsonPre-Assessments2|Book:FindingEachStudentsPathway
CoreofaRepeatingPattern-p.19
WhatIstheCore?-p.20
NelsonLeapsandBoundsPageswillbereferencedinthePreAssessmentsanswer
Keyforfollowupforemerginglearners.
ICanStatements|Skills
●Icanseethecoreinapatternthathasmorethanoneattribute.
●Icanaddanattributetoarepeatingpattern.
●Icancreatearepeatingpatternwithmorethanoneattribute.
LearningRecovery Enhancement
11

In progress
LearningOutcome2P1.2Studentsexplainandanalyzepatternsinavarietyofcontexts.
Knowledge UnderstandingSkills&Procedures AchievementIndicators IllustratedExamples Assessments
(Explainer)
Attributesofelements,
suchassizeandcolour,
cancontributetoa
pattern.
Apatterncorecanvary
incomplexity.
Createandexpressarepeating
patternwithapatterncoreofup
tofourelementsthatchangeby
morethanoneattribute.
Identifythecoreofagiven
repeatingpatternthathasmore
thanoneattribute.
Lookattherepeatingpatternandcirclethecore.
Core(size,color):largegray,largewhite,smallwhite
Core(shape,orientation):circledown,squareup,circledown
Core(colour,orientation):purpleright,orangeup,purpleleft,purple
down.
Core(size,colour):smallyellow,largepurple,smallyellow,small
purple.
Core(size,colour):largepurple,largeyellow,largeyellow,smallpurple
Core(colour,shape,orientation):orangesquareup,bluecircle
down,orangecircledown,bluesquareup.
Core(colour,shape,orientation):orangesquareup,bluecircle
down,orangecircledown,bluecircleup.
FormativeSuggestions:
Providestudentswithopportunitiesfor:
●exploringpatternsinstories,songs
andrhymes.Wherepossible,
representingthese
diagrammaticallytosupport
pattern-spotting,andpredicting
whatwillhappennext,andwhy
●invitingchildrentospotpatternsin
thehomeenvironment,ortobring
inexamplesfromhome
●lookingatfabricpatternsfrom
differentculturaltraditions:
discussingthepatternsintermsof
whatstaysthesameandwhatis
different
●designingwrappingpaperfora
specificeventthatinvolvescreating
apatternwhichthechildrencan
describe.
2P1.2aCreatingMyOwnPatterns
Surface/Deep
12

In progress
Addanattributetocreateand
describeamorecomplexrepeating
pattern.
Takethesepatternsandmakethemmorecomplexby
addingelementswithanadditionalattribute(e.g.
colors,size,orientation,etc.).
ExampleA:
Core(size,color):largegray,largewhite,smallwhite
MoreComplex:addasmallgreytothepattern
ExampleB:
Core(shape,orientation):circledown,squareup,circledown
MoreComplex:addcircleup
ExampleC:
Core(currencyamountorcolouroranimal):lonnie,quarter
MoreComplex:addorientation
Createarepeatingpatternwhere
thecorehasuptofourelements
thatchangebymorethanone
attribute.
Createarepeatingpatternusinguptofourelements.
Examplesofthecoreareforillustrationonly.
2P1.2-CreateaPatternSliderand
RepeatingPatterns(deep)
13

In progress
ExampleA:Attributesaresizeandshape
Largesquare,Largecircle,Smallsquare,Smallcircle
ExampleB:Attributesarecolourandshape
Orangecircle,Orangesquare,Bluecircle,Bluesquare
ExampleC:Attributesareactionandsound
Loudclap,Quietclap,Loudstomp,Quietstomp
ExampleD:Attributesareobjectandposition
SunUp,MoonDown,SunUp,SunDown,
InfusingIndigenousKnowledgeintoCurriculum
Website:
InfusingIndigenousKnowledge(grade2materials)
Buildpatternsusingavarietyofmaterials.
●Identifyand/orcreatepatternsusingexamplesfrom
activitiessuchas:
○Fishnetmaking
○Tobogganmaking
○Drummaking
○Wagonmaking
○Harnessmaking(dog,horse)
○Pursemaking(moosehide;pelicanbeak)
○Blanket/quiltmaking
○Beading(patternsincolours,shapes,counting)
○Moccasinmaking
Resources
Mathology
ARPDCMathLittleBooksforAlbertaCurriculum
MathologyFreeResourcesonNewLearnAlberta
MathologyLittleBooks
MathologyLittleBook:PatternQuest
MathUP
Grade2:Patterns
Lesson1:RepeatingPatterns
14

In progress
ExistingTextbooks
MathMakesSense3-Unit1
MathFocus3-Chapter1
NCETM(teacherguidesandresources)
Patterns
Typicalprogressionofkeyideasinthisconcept,alongwithactivities,opportunities,andcommonerrors
https://ncetm.org.uk/classroom-resources/ey-pattern/
IndigenousLessonPlansandResources
Comingsoon
ProblemSolving
OntarioTeachers’FederationOpenEndedandParallelTasks,K-3Patterning(p.2)
ResourcesDevelopedbySchoolDivisions/EducationalInstitutions
EdmontonCatholicPacingGuides
EdmontonCatholicCurriculumCrates
LearnAlbertaCurriculum
APRDCNewCurriculumProfessionallearningResources
AlbertaTeachersAssociationLibraryK-3Mathematics&GeneralMathematicsResources
MathematicsandNumeracy-NewCurriculumToolkit
Websites/Other GIZMOs
NewLearnAlbertaSite:
PatternFinder
PatternFlip
CritterCount(ModelingMultiplication)
ExploreLearningGizmosSite:
FindingPatterns
Foraccesstoadditionalresources,requestaGIZMOsaccount:[email protected]
15

In progress
Clicktojump!
KUSP2P1.1
KUSP2P1.2
LiteratureConnections
LiteratureConnections
Title Author Format(Picture
Book,Novel,
Non-fiction,other)
Publisher ISBN Notes
PatternFish TrudyHarris PictureBookLERNERPUBLISHINGGROUP;
Illustratededition(July292009)
0761317120,978-0761317128Repeatingpatternsusingvariousattributes
PitterPatter JoyceHesselberth PictureBookGreenwillowBooks;Illustrated
edition(Feb.112020)
978-0062741233,
0062741233
Introducingkidstosimplepatternsthatcanbefound
everywherearoundus
PatternBugs TrudyHarris PictureBookLERNERPUBLISHINGGROUP;
Illustratededition(Jan.12001)
0761321071,978-0761321071Repeatingpatterns
Pattern(MathCounts:UpdatedEditions)HenryPluckrose PictureBookHarperCollins(Jan.52000)9780064467285,978-0064467285Realworldexamplesofpatterns
ISeeAPatternHere BruceGoldstone PictureBookHenryHoltandCo.(BYR);First
Edition(March102015)
0805092099,
978-0805092097
Realworldexamplesofpatterns
Translations,tessalations,symmetry,(flips,rotations,slides)
AcknowledgeofCulturalDiversity
512AntsonSullivanStreet CarolA.Losi PictureBookScholasticUs(Aug.11997)0590308769,978-0590308762Numberpatternwithdoubling
LotsandLotsofZebraStripesStephenR.SwinburnePictureBookAstraYoungReaders;Illustrated
edition(March12002)
1563979802,978-1563979804Realworldexamplesofpatterns
M&M’sColorPatternBook BarbaraBarbieriMcGrathPictureBookCHARLESBRIDGE PUBLISHING
(May12002)
1570914176,978-0439488433TextdescribeshowtosortM&M'stomakevarious
sequencestobeconstructedusingaddition,subtraction,
multiplication,ordivision.
PatternsintheSnow JClarkSawyer PictureBook(Epic)BearportPublishing;Illustratededition
(Aug.12014)
1627243402,978-1627243407Realworldexamplesofpatterns
FarmPatterns NathanOlson PictureBookCapstonePress(May32007)0736878505,978-0736878500Realworldexamplesofpatterns
PlantPatterns NathanOlson PictureBookCapstonePrInc;Reviseded.edition
(Aug.12016)
9781515735106,978-1515735106Realworldexamplesofpatterns
CityPatterns NathanOlson PictureBookPEBBLEBOOKS(March12007)0736878483,978-0736878487Realworldexamplesofpatterns
GrowingPatterns:FibonacciNumbersin
Nature
SarahC.Campbell PictureBookAstraYoungReaders(March12010)1590787528,978-1590787526Realworldexamplesofpatterns
16
Tags