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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