Bridges Breakouts •3Grade 2 Building Computational Fluency Section 2 Support Activities Building Computational Fluency Grade 2 © The Math Learning Center Bridges Breakouts nn 35 Support
Trang 1BOBCF2
Trang 2Building Computational Fluency, Grade 2
A Math Learning Center Publication
by Donna Burk and Allyn Fisher
illustrated by Tyson Smith
Bridges Breakout Units
Building Computational Fluency, Grade 5-6
Building Computational Fluency, Grade 4
Building Computational Fluency, Grade 3
Building Computational Fluency, Grade 1
Bridge Design & Construction: Data Collection & Analysis
Bugs Across the Curriculum
Crossing the Pond: A Probability Game
Exploring Money: Adding, Counting, Sorting and Patterning
Exploring Time: Hours, Minutes and Paper Clocks
Frogs Across the Curriculum
Geometry: Pattern Blocks, Polydrons and Paper Quilts (Grade 1)
Geometry: Shapes, Symmetry, Area and Number (Grade 2)
Math Buckets: Sorting and Patterning
Math with a Sock: Probability and Fractions
My Little Farm: Money, Place Value and Mapping
Penguins: Measuring, Sorting, Computation and More
Sea Creatures Across the Curriculum
The Math Learning Center, PO Box 12929, Salem, Oregon 97309 Tel 1 800 575–8130
© 2007 by The Math Learning Center
All rights reserved
Prepared for publication on Macintosh Desktop Publishing system
Printed in the United States of America
ISBN 9781602622050
Trang 3Building Computational Fluency,
Individual Interview Addition & Subtraction, Place Value 5
Section 2: Support Activites
Follow copy instructions on blacklines to run as needed
Support Activity 1 H Instructional Considerations 51
Doubles Spin & Make Half Game Board page 1 53Doubles Spin & Make Half Game Board page 2 54
Trang 4The Ten-Strips Model 57
Support Activity 2 Instructional Considerations 59
Support Activity 3 Instructional Considerations 64
Support Activity 4 Instructional Considerations 69
Support Activity 5 Instructional Considerations 77
Support Activity 6 Instructional Considerations 79
Support Activity 7 Instructional Considerations 85
Support Activity 8 Instructional Considerations 92
Trang 5Support Activity 9 Instructional Considerations 99
Support Activity 10 Instructional Considerations 105
Support Activity 11 Instructional Considerations 109
Support Activity 12 Instructional Considerations 113Support Activity 11
Faces of a Solid
Support Activity 13 Instructional Considerations 117
Support Activity 14 Instructional Considerations 123
Trang 6Section 3 Fact Fluency Supplement
Follow copy instructions on blacklines to run as needed
Fact Fluency Supplement: Addition and Subtraction 131-132
Note to Families: Instructions for Solving Addition Facts Booklet 145
Note to Families: Instructions for Solving Subtraction Facts Booklet 159Scout Them Out Addition and Subtraction Worksheets 161-170
Addition Facts Challenge: A Take-Home Activity 179-185
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2 • Bridges Breakouts
Building Computational Fluency
andsubtractionstrategies,aswellastheirunderstandingsofplacevaluearewellworththetime
Assessments3and5arewrittentestsofstudents’fluencywithadditionandsubtractionfactsto20.Assessment3isdesignedtobeconductedinthefallandAssessment5inthespring,butyoucanadministereitheroneatthetimebestsuitedtoyourinstructionalschedule.Checklistsareprovidedwithbothassessmentstotrackstudents’proficiencywithfactstrategiessuchascountingon,countingbackwards,addingandsubtractingdoublesandneigh-bors,addingandsubtracting10’s,andothers.You’llfindasetoffactstrat-egybooklets,worksheets,andactivitiesinthethirdsectionofthispacketdesignedtoprovidestudentswithopportunitiestolearnandpracticethesestrategies
Assessments2,4,6,and7arequarterlywrittencheckupsdesignedforuseattheendofeachgradingperiodtosupportteachersinconferencingwithparentsandreportingonstudents’progress.Eachoftheseassessmentsoffersanotherlookatstudents’proficiencywithbasicfactsandahostofotherkeymathskillstypicallytaughtinthefall,winter,andearlyaswellaslatespringofthesecondgradeyear.Theseassessmentsmayalsobeusefultoresourceroomteachersandothersworkingwithbelow-grade-levelthirdgraders
Trang 9Bridges Breakouts •3
Grade 2 Building Computational Fluency
Section 2 Support Activities
Building Computational Fluency Grade 2
© The Math Learning Center Bridges Breakouts nn 35
Support Activity 7 H Instructional Considerations
SUPPORT ACTIVITY
Make 100
Overview
Players take turns drawing cards showing double-digit
numbers and coloring the numbers on a Number Chart
Each player can draw no more than 3 cards Players find
wins.
Skills & Concepts
H using models, words, and numbers to demonstrate
the meaning of addition and subtraction
H adding and subtracting 2-digit numbers with and
without regrouping using models and strategies
Make 100 provides students with more opportunities to add 2-digit numbers and use a visual model
to find the difference between 100 and other numbers Students also use estimation skills when they
choose whether or not to take a third card.
Although there are many different ways to color in the amounts, we prefer to model coloring in the 10’s
first and then the 1’s Remind students to fill in the Number Chart completely before they use the 10’s
and 1’s on the side so they can see their total in relationship to 100.
24 47 2
Brittany Uncle Gene
t e d r o 0 1 e
+ + =
y b o / d n w I ) c
+ + =
y b o / d n w p M ) c
H Make 100 Record Sheet (Blackline , 2 copies run back-to-back per player)
H Make 100 Cards, pages 1–3 (Blacklines, 1 copy, cut apart, for each pair of players)
H crayons
Instructions for Make 100
1 Mix up the Make 100 Cards and place them in a pile, face down Write your name and your partner’s name at the top of a record sheet The goal of Make 100 is to be the player who gets closest to 100 You can stay under 100
or go over 100.
2 Take 2 cards and turn them face
up Both players should record the two numbers in the boxes below the Number Chart and color in the amounts on the chart Use a different color for each amount.
3 The other player takes 2 cards
Both players record the numbers in the boxes and color in the amounts on their Number Charts.
4 Both players should decide whether
or not to draw a third card If you’re close to 100, you may choose not to draw another card If you’re still far away from 100, you might take a chance and draw a third card Each player may draw no more than 3 cards.
24 47 2
Brittany Uncle Gene
E E
t e S d r o c e 0 1 e k M
+ + =
y o n w I )
+ + =
y o n w M )
Trang 10• recordsheetblacklinesifneeded
Section 3 Fact Fluency Supplement
TheFactFluencySupplementisdesignedtobeusedinconjunctionwiththeassessmentsinthispacket,butalsostandsaloneasasetofmaterialsthatcanbeusedtosupplementanysecondgrademathprogram.Thissectionincludes2illustratedfactstrategybookletstobeusedwithstudentsatschoolorhome,23pagesofstrategy-relatedfactpractice,andthreegamesand/orworksheetsdesignedforstudentstotakehomeforextrapractice.
Trang 11Building Computational Fluency Grade 2
Assessment 1
ASSESSMENT 1
Individual Interview Addition & Subtraction, Place Value
Overview
This interview enables you to get a sense
of students’ strategies for solving addition
and subtraction combinations and their
understanding of place value
Timing
September, or any other time of year
appropriate for your students
Skills & Concepts
Hsolving addition and subtraction facts
to 20
Hreading numbers between 11 – 20
Hcounting accuratelyHunderstanding place value
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© The Math Learning Center
6 nn Bridges Breakouts
Assessment 1 Individual Interview (cont.)
Asyoupointtoeachadditionandsubtractioncombination,havethechildreaditaloudandtellyoutheanswer.(Ifshereadsacombinationincorrectly,helpherreaditagain.)Ifshereadsthecombinationandgivesthecorrectanswerimmediately,justcirclethefact.Ifsheanswersincorrectlyortakesmorethanasecondortwotocomeupwiththeanswer,don’tcorrectheroradvisehertospeedup.Justaskherhowshegottheanswerandjotnotesrightontheinterviewsheet.Watchforherstrategies—herwaysoffiguringthingsout
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© The Math Learning Center
8 nn Bridges Breakouts
Child(Pullsaside4buttonstoshow.)4.(Important:Ifthechildonly
says4anddoesn’tusethebuttonstoshow,besuretoremindhimtodo so.)
Teacher(Showthechildthenumber14ontheslipofpaperagainand
circlethe1thistime.)Pleaseshowmewithyourbuttonswhatthispart ofthenumbermeans.
Atthispointintheyear,mostchildrenwillpullaside1button.Afewolderorveryadvancedchildrenmayshowyou10.Eitherway,youwanttoexplorejustabitfurther.Let’slookatwhattodowiththechildrenwhoshowyou1button
TeacherSoyouareshowingmethatthispartofthenumber(pointto
the4inthenumber14)means4,andthispartofthenumber(pointto the1inthenumber14)means1.(Childnodshappily.)I’mwondering aboutalltheseextrabuttonshereinthemiddle.Whataboutthem?
Assessment 1 Individual Interview (cont.)
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Trang 16Building Computational Fluency Grade 2
© The Math Learning Center
10 nn Bridges Breakouts
Thisearlyinthefall,mostofyourstudentswilldemonstratelotsofcountingbehaviorwhentheyaddandsubtract.Afewchildrenmayknowsomeorallofthefactsimmediately,andmanywillbequickataddingandsubtracting0’sand1’s.Someofyourstudentswillsetuptheproblemsontheirfingersandcountby1’s.Othersmaycounton(6+5is6—7,8,9,10,11)orbackwards(8-5is8—7,6,5,4,3).
drenmayreportthat8-4is4because4+4is8.Somemaytellyouthat9+6is15because10+6is16,and9is1lessthan10.TheSupportActivitiesandFactFluencysheetswillhelpstudentsmovefromcountingbehaviorssotypicalofprimarychildrentomoreefficientmethodsastheyearprogresses.Afewstudentsmaybeconfusedaboutsubtraction.It’snotunusualforchil-drentomisreadsubtractionasaddition,ortoaddthenumbersinsteadofsub-tractingthem,eveniftheyreadthecombinationcorrectly.Sometimesthey’lladdthetwoquantitiesandthensubtractoneofthem,sotheanswerto6-4willbe6(6+4=10-4=6).Ifyouencounterstudentswhoseemconfusedabouttheprocessofsubtraction,youmightwanttoexplorealittlefurther.Tryposingasubtractionproblemintheformofastory—Ihad5goldfishand3ofthemdied.Howmanywereleft?Mostsecondgraderswillmakesenseofthissituationandcorrectlyanswer2
Youmayalsoseethebeginningsofmoresophisticatedstrategies.Afewchil-Chancesare,fewofyourstudentswillhavesolidplacevaluefoundationsyet.Althoughmostwillbeabletoreadthenumber14andcountout14buttonsaccurately,fewwillcomprehendthecomplexitiesofournumbersystem.Theideathatthenumeral1canmean1,10,100,or1,000dependingonitsplace-mentisquiteabstract.Thisistheyearmostchildrenwillmovefromcount-ingby1’stothinkingandworkinginmultiplesof5’s,10’s,and100’s.Givenmanyopportunitiestomakesenseofnumbers,moststudentswillbewellontheirwaytounderstandingplacevaluebytheendofsecondgrade
SUPPORT ACTIVITIES
Althoughit’searlyintheyeartostartanyremedialwork,youmightassignoneormoreoftheSupportActivitieslistedbelowtostudentswhoreallystruggledwiththeadditionandsubtractionfactsduringtheinterview.
videssolidworkwithfactfamilies.Sinceitcanbeplayedatavarietyoflev-els,itmightmakeaneffectiveinstructionaltoolforyourentireclass.
MaketheSumhelpsstudentsunderstandtheoperationofaddition,andpro-Assessment 1 Individual Interview (cont.)
Trang 17Building Computational Fluency Grade 2
Activity 12 Make the Sum Addition Facts to 10 & Problem
solving Activity 1 Doubles Spin Basic Additiona Facts: Doubles
Activity 5 Make Half Basic Subtraction Facts: Half
Facts
Assessment 1 Individual Interview (cont.)
Trang 19Building Computational Fluency Grade 2
This assessment can be used to test key
math skills toward the end of the first
reporting period
Timing
Late October or early November, or any
other time of year appropriate for your
students
Skills & Concepts
Haddition facts (+0’s, +1’s, doubles, and neighbors)
Hsubtraction facts (– 0’s, 1’s, halves, and neighbors)
Hcounting by 10’s and 1’sHtelling time to the minute Hcounting coins to a dollar
Trang 20Building Computational Fluency Grade 2
14 nn Bridges Breakouts
Assessment 2 (cont.)
SUPPORT ACTIVITIES
Activity 12 Make the Sum Addition Facts to 10 & Problem
solving Activity 1 Doubles Spin Basic Additiona Facts: Doubles Activity 5 Make Half Basic Subtraction Facts: Half
Facts
YoumayalsowanttousesomeoftheadditionandsubtractionsheetsintheFactFluencySupplementtogivestudentsmorepracticeaddingandsubtract-ing0’s,1’s,2’s,doubles,andneighbors
Trang 23Building Computational Fluency Grade 2
Students are given up to 3 minutes to take
a 30-problem addition facts test, working
with sums to 20
Skills & Concepts
Hfluency with addition facts to 20
Hrecognizing and using the
commuta-tive property for addition
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18 nn Bridges Breakouts
(doublesplus-1)fact.Thispreviewisveryimportant,becausewealwayswantourstudentstobeawareofthestrategiestheycanusetodeterminethesumstheydonotautomaticallyrecall
Askstudentstowritetheirnamesandthedateatthetopofthepage.Explainthatthey’llhave3minutestocompleteasmuchofthepageaspossible.Letthemknowthatthey’llhavetoworkquicklyandthattheymaywanttoskiparoundtofactstheyknowandthencomebacktotheonesthatarechalleng-ing.Remindthemthatwhenthey’vefinished,theyshouldwaitquietlyuntileveryoneelsehasfinishedtoo
Letstudentsknowwhentheycanbegin.(Theywillallneedtobeginatthesametime.)You’llhavetowatchtheclockastheygo,sopickastartingpointthat’seasytoremember,likewhenthesecondhandisonthe12orthe6.Re-cordtheelapsedtimeinincrementsof10secondsoneitherthewhiteboardoroverhead;recordingthetimesontheoverheadallowsyoutowatchhowstudentsareworking(e.g.,ontheirfingers,tappingtheirfeet,etc.).Whenstu-dentsaredone,theycanlookattheboardoroverheadandrecordtheelapsedtimeinminutesandsecondsontheirpage
Assessment 3 Addition Fluency Checkup (cont.)
Trang 25Building Computational Fluency Grade 2
Blackline A 1.2 For use in Unit One, Session 13, and Unit Two, Session 4 Run copies as needed for your own use
Addition Facts Class Checklist
or eZ
st ca F +(0oC itn gOn (+ ,1+ ,2
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=( )01
tsTne +(10) ts
N enis+() otf e
Trang 26Building Computational Fluency Grade 2
20 nn Bridges Breakouts
3.CompletedFactsWhichfactsdidthechildcomplete?Didshecomplete
allthezerofacts,countingonforplusoneandtwo,doubles,andneighbors?Whichkindsoffactsseemmorechallengingforherthanothers?
dentandcanbeusedasateachingstartingpoint:you’llwanttoworkfromthechild’sstrengthstowardnewormorechallengingfacts(e.g.,usingdou-blestomasterneighbors).
Thefactsthatarecompletedaccuratelyaregenerallycomfortableforthestu-Asyoulookoverthestudents’workasagroup,you’llwanttoidentify:
• studentswhohavedemonstratedcomputationalfluencybycompletingall30problemsinunderaminuteandahalf,withonly1or2errors,
• studentswhohavecompleted30problemsinabout3minuteswithmorethan2errors,usuallyonneighbors,fasttens,andfastnines,
• andstudentswhoareunfamiliarwithadditioncomputationstrategiesandneededmorethan3minutestocompletetheproblemsand/orhavemul-tipleerrors
SUPPORT ACTIVITIES
Afterreviewingstudents’responsestotheitemsonthisassessment,youcanassignSupportactivitiesforchildrentoworkonatschoolorathome.Al-thoughthereare14Supportactivitiesinthesecondsectionofthispacket,theoneslistedbelowareparticularlyrelevanttotheitemsyoujusttested.
SUPPORT ACTIVITIES
Activity 12 Make the Sum Addition Facts to 10 & Problem
solving Activity 1 Doubles Spin Basic Additiona Facts: Doubles Activity 2 Spinning Around Addition Strategies for Basic Addition Activity 3 Triple Spin & Add Basic Addition with Multiple
Addends Activity 4 Sorting Addition Facts Strategies for Addtion Facts
menttogivestudentsmorepracticeadding0’s,1’s,2’s,doubles,neighbors,fast10’s,andsolvingrelatedsubtractionproblems
YoumayalsowanttousesomeoftheworksheetsintheFactFluencySupple-Assessment 3 Addition Fluency Checkup (cont.)
Trang 28(+1, +2, + 3)Doubles(e.g., 6 + 6)Neighbors(e.g., 6 + 7)Make TenFacts (= 10)Fast Tens(+10) Fast Nines(+9) LeftoverFacts
Trang 29Building Computational Fluency Grade 2
This assessment can be used to test key
math skills toward the end of the second
reporting period
Timing
Late January or early February, or any
other time of year appropriate for your
students
Skills & Concepts
Haddition facts (+0’s, +1’s, doubles,
neighbors, fast 10’s, and fast 9’s)
Hsubtraction facts (– 0’s, –1’s, –2’s,
halves, neighbors, take away 10’s, and
runaway 1’s)
Hcounting by 100’s, 10’s and 1’s
Htelling time to minute
Hmeasuring length (centimeters)
Hcounting coins to a dollar
Hadding 2-digit numbers with
Hbase 10 pieces (use Blacklines pages 28-29 to make these if necessary)
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24 nn Bridges Breakouts
Assessment 4 (cont.)
SUPPORT ACTIVITIES
signSupportactivitiesforchildrentoworkonatschoolorathome.Althoughthereare14Supportactivitiesinthesecondsectionofthispacket,theoneslistedbelowareparticularlyrelevanttotheitemsyoujusttested.
Afterreviewingstudents’responsestotheitemsonthischeckup,youcanas-SUPPORT ACTIVITIES
Activity 12 Make the Sum Addition Facts to 10 & Problem
solving Activity 1 Doubles Spin Basic Addition Facts: Doubles Activity 2 Spinning Around Addition Strategies for Basic Addition Activity 5 Make Half Basic Subtraction Facts: Half
Facts Activity 6 Spinning Around Subtraction Strategies for Basic Subtraction Activity 13 Place Value War Counting 100’s, 10’s, and 1’s Activity 14 Activity Base 10 Triple Spin Counting & comparing 100’s,
10’s, and 1’s
YoumayalsowanttousesomeoftheadditionandsubtractionsheetsintheFactFluencySupplementtogivestudentsmorepracticeaddingandsubtract-ingusingavarietyoffactstrategies.
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28 nn Bridges Breakouts
Blackline
Base Ten Pieces page 1 of 2
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Blackline
Base Ten Pieces page 2 of 2
Trang 36Building Computational Fluency Grade 2
30 nn Bridges Breakouts
Trang 37Building Computational Fluency Grade 2
Students are given 3 minutes to
com-plete a 30-problem subtraction fluency
checkup
Skills & Concepts
Husing strategies to demonstrate
flu-ency with subtraction facts with
minu-ends to 20
Husing the relationship between
addi-tion and subtracaddi-tion to solve
Hclock or watch with a second hand
Trang 38Building Computational Fluency Grade 2
32 nn Bridges Breakouts
Assessment 5 (cont.)
Using Information from Assessment 5
Asyoulookoverstudents’work,youmaywanttousetheSubtractionFactsChecklisttorecordnotesaboutwhatkindsoffactsstudentshavemasteredandwhichonesremainchallenging.Theresultswillhelpyoumonitortheirgrowthandplanyourinstructiontobestmeettheircurrentneeds.
1.TimeHowmuchtimedidittakethechildtocompletethesheet?Ifhe
didn’tfinishthesheet,howmuchofitwasheabletocomplete?Studentswhocancompletethesheetinaminuteandahalforless(nomorethan3sec-ondsperfact)areconsideredtohaveachievedmastery
2.ApproachWhatwasthechild’sapproachtocompletingtheproblems?
Didshecompletetheonessheknewfirstandthencomebacktothosethatwerechallenging?Didshecompletetheminorderfromlefttorightortoptobottom,orwasherapproachrandom?
3.CompletedFactsWhichfactsdidthechildcomplete?Didhecomplete
allthezero,countingback,half,ordoublesfacts?Whichkindsoffactsseemmorechallengingthanothers?Theuptotenandleftoversubtractionfactsinarethemostdifficultformostofourstudents.
Inlookingovertheirworkasagroup,you’llwanttoidentify:
• lemswithonly1or2errorsinunderaminuteandahalf,
studentswhoarecomputationallyfluentandhavecompletedall30prob-• studentswhohavecompleted30problemsinabout3minuteswithminorerrors,usuallyfactswithdifferencesbetween10and20,
• andstudentswhoareunfamiliarwithsubtractioncomputationstrategiesandneededmorethan3minutestocompletetheproblemsand/orhavemultipleerrors
Togetmoreinformation,youmayfindthatit’shelpfultointerviewstudentswhoseemtobelaggingbehindwiththeirsubtractionfacts
Trang 39Building Computational Fluency Grade 2
Activity 5 Make Half Basic Subtraction Facts: Half
Facts Activity 6 Spinning Around Subtraction Strategies for Basic Subtraction
YoumayalsowanttousesomeoftheworksheetsintheFactFluencySupple-menttogivestudentsmorepracticesubtracting0’s,1’s,2’s,10’s,doubles,
neighbors,andhalvesandsolvingrelatedadditionfacts.
Assessment 5 (cont.)