Download Development of Basic facts learning

Numicon–SequenceofTeachingandFluencyExpecta:onsofBasicFacts Addi:onandsubtrac:onfactsto10-Numicon1
Commuta(veRule:e.g.2+3=3+2
+0
+1(Connectthatadd+1=1morethan,=thenextnumberetc.)
Addi(ontoandwith5:1+4,2+3,5+1,5+2,5+3,5+4
Groupingswithin10:1+9,2+8,3+7,4+6,5+5
Doublesto10:1+1,2+2,3+3,4+4,5+5
Remainingfactsto10:2+4,2+6,2+7,3+4,3+6
Knowingwhentoaddandsubtracttosolveproblems
Adjus(ngknownfactstofindfactsfor11and12:9+1=10,so9+2=11
TeenNumbers:10+1,10+2,10+3,10+4,10+5,10+6,10+7,
10+8,10+9
Fluencyinfactsto10–Numicon2
Addi:onandsubtrac:onfactsto20–Numicon2,FluencyinNumicon3
+1and–1,+10–10:3+1,30+10,3–1,30-10
Doublesto20:6+6,7+7,8+8,9+9,10+10
NearDoubles:5+6,6+7,6+8,7+8,
Par((oning2-digitnumbersforaddingandsubtrac(ng:35+2=30+5+235-2=
30+5–2
Rounding2-digitnumbersusing-and+tonearestmul(ple:38+2=4043–3=40
+9(add10&subtract1):2+9,3+9,4+9,5+9,6+9,7+9,8+9Numicon3
RemainingFacts:3+8,4+7,4+8,5+7,5+8,
Bridgingthroughmul(plesof10whenaddingandsubtrac(ng:
Usingknowledgefactswithin20fluentlyanduseefficientstrategiestocalculate
thosenotknown.
Addi:onandsubtrac:onfactsto30–Numicon3,FluencyinNumicon4
Usingknownaddi(onandsubtrac(onfactstoderivefactsupto30:28=20+8,10
+10=10
Useoftheemptyboxasanunknownandusingtheinversetosolvetheproblem3+
()=7
Useofstrategiesandwri9ennota(ontosolveproblemsmentallyand/orwri9en
down.
Addi:onandsubtrac:onfactsto30–Numicon5,FluencyinNumicon6
Solveaddingandsubtrac(ngproblemsinvolvingfrac(onsanddecimalsefficiently,
includingmoney.
Calcula(ngwithintegers
Usingefficientcolumnandothermethodstosolveproblems
x2,x5,x10–Numicon2,FluencyNumicon3
Commuta(veRule:5x4=4x5
x0
x1
x10and÷10:‘ymeansten’,e.g.sixtymeanssixtens.Mul:plesof10
x2and÷2:Doublingandhalvingrela:onship
x5:Rela:onshipbetweenx10andx5
Explorepa9ernsi.e.anoddmul:plierresultsintheanswerendingina5,an
evenmul:plierendsin0
Recalloffactsfrom2x,3x,5x,10xtables
Divisionproblemsdonotusethecommuta(vityruletosolveproblems
Knowingwhentomul(plyanddividetosolveproblems
x4,x6,x7,x8,x9,x11,x12–Numicon3and4,FluencyNumicon5
x9:PaTernsofnineandwithin9.Firstdigitoftheansweris1lessthan
mul:plier,andsumofdigitstotal9.
Solvingproblemswith9,knowingthenearest10rule.Mul:plyby10then
subtractonegroup.
Squares:2x2,3x3,4x4,5x5,6x6,7x7,8x8,9x9,10x10,…
x3facts:3x4,3x6,3x7,3x8,(doublethenadd1moreset)
x4facts:4x6,4x7,4x8(doublethe2xtable)
Mul(plyinganddividingmul(plesof10,100:2x3,20x30,200,300
Findinghalvesandquartersofhighernumbers:x2and÷2
Differen(atebetweenfindinghalfofanumberandfindinghowmanyhalvesare
inanumber
Theuseofmul(plesandfactorsinsolvingproblems.
Dividingforunderstandingfrac(onsanddecimalnumbers
Beginningtouseknownfactstopredictpossibili(esandthinkflexiblyabout
numbers
Useofstrategiesandwri9ennota(ontosolveproblemsmentallyand/or
wri9endown.
Addi:onandsubtrac:onfactsto30–Numicon5,FluencyinNumicon6
Solvemul(plyinganddividingproblemsinvolvingfrac(onsanddecimals
efficiently,includingmoney.
Calcula(ngwithintegers
Usingmul(plyinganddividingandmul(plesandfactorstosolveproblems
includingscaling,ra(o,percentages,frac(ons,andcubenumbers
Usingefficientcolumnandothermethodstosolveproblems