Using Cuisenaire Rods. Addition & Subtraction

Transcription

1 Usin Cuisnair Ros Aition & Subtraction Tabl of Contnts Introuction Exlorin ith Cuisnair Ros 2 Ho Lssons Ar Oraniz 4 Usin th Activitis 6 Lssons All Aboar! Aition, Pattrns 8 Loin Coman Aition, Subtraction, Chanc, Gam Stratis 14 Ro Covr-U Countin, Aition, Subtraction, Satial Visualization, Gam Stratis 22 Blu Squars Satial Visualization, Aition, Countin 30 Scial Staircass Pattrns, Estimation, Aition, Countin 38 Ro Equations Aition, Subtraction, Equations 42 1-Cntimtr Gri Par 48

2 Exlorin ith Cuisnair Ros A vrsatil collction of 10 color rctanular ros, Cuisnair Ros ar us to vlo a varit of math sills. Each ro s color corrsons to a iffrnt lnth. Th shortst ro, hit, is 1 cntimtr lon; th lonst, oran, is 10 cntimtrs lon. Whn th ros ar arran in orr of lnth into a attrn commonl call a staircas, ach ro iffrs from th nxt b 1 cntimtr. This allos ou to assin a valu to on ro, thn assin valus to th othr ros bas uon th rlationshis btn th ros. On st contains 74 ros, istribut in th quantitis shon blo. Th 10 colors ar as follos: o n r o n o = oran (4) = llo (4) = blu (4) = url (6) n = bron (4) = liht rn (10) = blac (4) r = r (12) = ar rn (4) = hit (22) r Usin lttrs to rrsnt th ros xoss stunts to th in of smbolic thinin th ill us latr in albra. With Cuisnair Ros, stunts can xlor satial rlationshis b main flat sins on a tabl or b stacin thm to ma thr-imnsional sins. Th soon iscovr ho som combinations of ros ar qual in lnth to othr, sinl ros. This unrstanin rovis a contxt for invstiatin smmtr. Olr stunts ma focus on comarin th lnths of th ros an rcorin th rsults on ri ar. This hls thm visualiz th inhrnt structur of a sin an ivs thm ractic in usin ra-aroriat arithmtic an omtric vocabular. Thouh stunts n to xlor frl, som ma arciat scific challns, such as bin as to ma sins that sho fractional quivalnc btn to rous of ros. Worin ith Cuisnair Ros Cuisnair Ros rovi a basic mol for th numbrs 1 to 10. Th hit ro can stan for 1, an th r ro can stan for 2, bcaus th r ro has th sam lnth as a train of to hit ros. Th ros from liht rn throuh oran ar assin valus from 3 throuh 10, rsctivl. Th oran an hit ros rovi a mol for lac valu. A train of 4 oran ros ( tns ) an 3 hit ros ( ons ) is 43 hit ros lon. Aition ith Cuisnair Ros You can mol aition for our stunts b lacin ros in trains, an thn finin thir quivalnc. For xaml, fin b first main a train ith a url ro (4) an a liht rn ro (3) an thn fin th sinl ro (blac) hos lnth (7) is qual in lnth to th to-car train ma u of url an liht rn. This mol corrsons to aition on a numbr lin = 7

3 Exlorin ith Cuisnair Ros Us th activitis in this boo, arran in orr from asist to most challnin, to furthr stunts unrstanin of th rortis of aition. Start ith All Aboar! to iv stunts som rliminar ractic at rconizin th valu of ach ro color. In aition, b cratin th to-car trains of quivalnc, stunts ain an unrstanin of hich to ros (quantitis) ar quivalnt in valu to hat othr ro (quantit). In this a, ou iv stunts an oortunit to rvi ach of th to-an facts for sums u to 10 an informall xos thm to th commutativ rort of aition. From thr, stunts rorss to mor challnin activitis, Loin Coman an Ro Covr-U, in hich th must ma cisions about hich ros to air in orr to rach articular quantitis. Ths activitis ill strnthn thir unrstanin of th commutativ rort. Blu Squars offrs ractic in aition facts, hil Scial Staircass xtns th larnin of math facts u to thos ith a sum of 20. Ths four activitis iv stunts th a oortunit to strnthn rasonin an am-lain sills. Finall, Ro Equations ivs stunts an oortunit for rvrs alication; insta of attmtin to buil ros to rrsnt a math fact, stunts buil to quivalnt trains an thn rit all of th math facts rrsnt b th trains. This tachs both th commutativ rort of aition an th smmtric rort of qualit. Subtraction ith Cuisnair Ros Th ros can also b us for actin out subtraction as stunts sarch for a missin an. For xaml, th can solv 7 3 b lacin a liht rn ro (3) on to of a blac ro (7). Stunts thn loo for th ro that, hn lac nxt to th liht rn ro, mas a train qual in lnth to th blac. Th missin an, a url ro (4), is th solution to this subtraction roblm. Onc stunts hav comlt th All Aboar! activit an hav a basic unrstanin of th valus an uss of th ro colors, ou can mov on to Loin Coman an Ro Covr-U. Both units offr ractic in basic subtraction facts throuh th us of th ros. To challn stunts unrstanin of subtraction s invrs rlationshi to aition, mov to Ro Equations. This unit ivs chilrn ractic in looin at th ros an ritin th math facts rrsnt b ach train. Whr Do W Go from Hr? Cuisnair Ros ar also ffctiv mols for invstiatin mor avanc math orations an concts, incluin Multilication an Division, Fractions an Dcimals, Gomtr, Masurmnt, Numbr Pattrns, an Loical Rasonin. Contact Larnin Rsourcs, Inc. for a comlt lin of mathmatics tachin tools, incluin numrous maniulativ its, Cuisnair roucts, an ths othr titls in th Usin Cuisnair Ros sris: LER 7528 Usin Cuisnair Ros: Multilication & Division LER 7529 Usin Cuisnair Ros: Fractions & Dcimals LER 7530 Usin Cuisnair Ros: Gomtr & Masurmnt Cuisnair Ros an th NCTM Stanars NCTM BASED ON STANDARDS Th activitis in Usin Cuisnair Ros: Aition & Subtraction ar consistnt ith th vision of mathmatics tachin scrib in th Princils an Stanars for School Mathmatics ublish b th National Council of Tachrs of Mathmatics. All of ths activitis involv th us of th Procss Stanars: Problm Solvin, Rasonin an Proof, Communication, Connctions, an Rrsntation. Each activit also focuss on on or mor of th folloin Contnt Stanars: Numbr an Orations, Albra, Gomtr, Masurmnt, or Data Analsis an Probabilit.

4 Nam: Numbrs Probabilit Statistics Aition Subtraction Chanc Gam Stratis Loin Coman Ovrloa Trucs 2 Each of th trucs blo is carrin ros qual to mor than 10 hit ros. Dtrmin th iht of ach truc s loa b ritin an aition sntnc that corrsons to th valus of th ros in that truc. Thn, fin ho man ros ou n to subtract to ma th loa qual to 10 hit ros. Sho our or. 1. Examl: + =? + o =? = = r r r r

5 Usin Cuisnair Ros Aition & Subtraction, Gras 1-3 LER 7527 Discovr hunrs of classroom alications for th most vrsatil hans-on math tool! This xansiv sris rovis st-b-st tachin stratis an all th rroucibl rsourcs ou ll n to rsnt major math concts to stunts in Gras 1 throuh 6. Dvlo b ucators to conform to th NCTM s latst contnt strans an toics, ach 48-a boo s six fil-tst, comrhnsiv units inclu: Comlt lsson lans In-th hans-on activitis Blaclin mastrs Assssmnt orshts Math xtnsions Dtail tachin nots Loo for th othr fin Cuisnair Ros roucts availabl from Larnin Rsourcs : LER Usin Cuisnair Ros: Multilication & Division, Gras 2-4 LER Usin Cuisnair Ros: Fractions & Dcimals, Gras 3-6 LER Usin Cuisnair Ros: Gomtr & Masurmnt, Gras 3-6 LER Cuisnair Ros Introuctor St (Plastic) LER Cuisnair Ros Introuctor St (Woo) LER Cuisnair Ros Activit St Gr. PrK-2 (Plastic) LER Cuisnair Ros Activit St Gr. PrK-2 (Woo) LER Ovrha Cuisnair Ros LER 7527 Usin Cuisnair Ros - Aition & Subtraction