kenora k-3 · 2018. 11. 24. · a problem •use 20 counters. •create three groups as equal as...
TRANSCRIPT
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Kenora K-3
Marian SmallNOVEMBER 2018
agenda
• TeachingwithIntention• ConsolidatingwithIntention• Automaticity
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A problem
• Use20counters.• Createthreegroupsasequalasyoucan.• Tryagainwith24counters.
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The idea
• Somenumberscanbemadeintoequalgroupsofagivensizeandsomecannot.
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Another problem
• Use24counterstomaketwogroups,butonegroupisdoubletheother.
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The idea
• x+x+xcanberegroupedinto2x+x..OR• Aratioof2:1canbeshowninmanyways.
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Now
• Use20counterstocreatethreegroups.• OneisSUPERBIGandtheothertwohavetobelittle.
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The idea
• Youcanalwaysdecomposeanumberintopartswhereonepartismostofthenumber.
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OTHER EXAMPLES
• Gr1:skipcounting
These are ideas I care about
• Youskipnumberswhenyoudon’tcountby1s,andthereisapatterntohowyouskip.
These are ideas I care about
• Ifyouskipcountbyabiggernumber,yougethigherfaster.
Grade 2
• Representinghalvesandfourths
Ideas I care about
• Afourthisalwayshalfofahalf.• Ifyouhaveahalf,it’seasytoshowafourth.• Ifyouhaveafourth,it’seasytoshowahalf.
Ideas I care about
• Ahalforafourthcanbealotoralittle.• Afourthofonethingcanbemoreorlessthanhalfofanother.
Another topic
• Measuringlengthusingnon-standardunits
Ideas I care about
• Ifyouusealittlerunit,youneedmoreofthem.• Whatunitmakesmostsensedependsonsizeofobject,sizeofunit,andpurpose.
Positional vocabulary
• Oftenthesewordscomeinpairs,e.g ifAisaboveB,thenBisbelowA.• IfAisinfrontofB,thenBisbehindA.
SUBTRACTING
• Studentsrealizethatsubtractionmeansdifferentthings,e.g.whenmightyouthink12– 5.
More ideas
• Everysubtractionisa“secret”addition.• Theanswerwhenyousubtractcanbemoreorlessthanwhatyousubtracted.
More ideas
• Ifyousubtractalittle,thenumberdoesnotchangealot.
Now you try
• Chooseanexpectation.• Whatideasdoyouwanttocomeoutofit?
consolidating
• Afterkidsdoanactivity,teachersneedtopullittogetherandaskquestionsthatfocusonbringingoutideas.
algebra
• Theactivity:• Use2differentcolours ofcubesononesideofthebalance.• Use2othercolours ofcubesontheothersideofthebalance.• Makesurethereisabalance.
algebra
• Writeanadditionequationthatdescribesthebalance.
• Repeatwithotheramountsofcubes.
To consolidate
• Ipostsomeoftheequationsstudentshavecreatedandaskkidstonoticethings.
I ask
• Ifyoulinedupallthecubesontheleftandthenallthecubesontheright,whatwouldhappen?
I ask
• Supposeonesidehad6redandsomeyellow.• Theothersidehad8blueandsomegreen.• Weretheremoreyelloworgreen?Howdoyouknow?
I ask
• Supposeonesidehad3redandsomeyellow.• Theothersidehad1blueandsomegreen.• Weretheremoreyelloworgreen?Howdoyouknow?
I ask
• Whywereyourequationsadditionequations?
It might be about place value with tens and onesMyactivitymightbetoprovidebasetenrodsandones.
Iaskthemtoaccomplishthesetasks:
It might be about place value with tens and ones- Represent23with5blocks.- Represent23with23blocks.- Represent23withadifferentnumberofblocks.
I might ask
Yourepresented23with5blocks.What2-digitnumbercouldyouhaverepresentedwith6blocks?
I might ask
Whatifyouhadrepresented65?Wouldtherebemoreorlesswaystodothatthantodo23?Why?Howcouldyoudo65with20blocks?With29blocks?
I might ask
Whatisthemostnumberofblocksyoucouldusetoshow65?Theleastnumber?Why?
money
• Iwantkidstorealizethatyoucanrepresentamountsofmoneyindifferentwaysandthatyouneedmorepiecesofmoneyiftheirvaluesarelower.
Task might be
Chooseanamountofmoneybetween$20and$30.RepresentitusingaLOTofbillsorcoins.ThenrepresentitusingNOTMANYbillsorcoins
Task might be
Repeatwithoneotheramountofmoney.
To consolidate
Whothinkstheyrepresentedtheiramountusingfewerpiecesofmoneythananyoneelseintheroom?Whydoyouthinkitcouldbeyou?
To consolidate
Whothinkstheyrepresentedtheiramountusingoneofthemostpiecesofmoneyintheroom?Whydoyouthinkitcouldbeyou?
To consolidate
Supposeyouhadusedonlydimes.Wouldyouusealotofcoinsornotmany?
•Supposeyouhaduseda$20bill.Couldyoustillhaveusedalotofpiecesofmoney?
I would ask
Whendoyouusealotofpiecesofmoney?Whendon’tyou?
geometry
Makeapatternblockdesignthatfollowstheserules.•Thereissymmetry.•Thereare4moreyellowblocksthanblueones.•Thereareasmanyblueasredblocks.
What would you ask?
• Howdoyouknowthereissymmetry?•Istheredareabiggerortheblue?Theyellowortheblue?•Couldtherebeanevennumberofblueblocks?Anoddnumber?
What would you ask?
• Ifthereareonlytwoblueblocksinthedesign,couldonebeclosetothelineofsymmetryandonefarfromit?
Your turn
• Thinkofanactivitythatfocusesononeoftheseideas:
Idea choices
• Lotsofstrategiesyoucanusetoadd• Lotsofpatternsmightincludesomeofthesamenumbersorshapes• Centimetres vsmetres
now
• Thinkofanactivity,butfocusonhowtoconsolidate.
automaticity
• Whatcomputationsdoyouthinkkidsshouldbefastat?• Howfast?Thesameforall?
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