Tangram Fractions Overview: Students will analyze standard and nonstandard

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1 ACTIVITY 1 Mtrils: Stunt opis o tnrm mstrs trnsprnis o tnrm mstrs sissors PROCEDURE Skills: Dsriin n nmin polyons Stuyin onrun Comprin rtions Tnrm Frtions Ovrviw: Stunts will nlyz stnr n nonstnr tnrms to trmin t rtionl vlus o t pis. Stunts will ompr t pis to s ow ty rlt to on notr. Voulry: onrunt, trinl, rtnl, squr, prlllorm, trpzoi, polyon 1 Tis tivity works st wn stunts work in roups o two to our. Tis ostrs importnt ilou tt ilitts unrstnin. Disply trnsprny o tnrm 1. Stunts soul v iniviul opis. You my wis to istriut sissors or tis tivity s som stunts in it lpul to ut t pis or omprison. 2 Ask t stunts, I t ntir squr til s vlu o 1, wt is t vlu o t rion? Ty n s tt it is sin our o t lr trinls n it in t squr. 2 = 3 Nxt sk tm to vlut t mium-siz trinl, rion. Sin two s will it into on, is 1 / 2 o or o t wol. Anotr wy to s tis is y sowin tt t til n ut into it s. 2 = 2 = 4 Ask t stunts to in t vlus o t otr rions. Wn ty in nswrs, sk tm to justiy tm. Ty my o tis vrlly, y rrrnin pis on tir sks or t ovr projtor, or y rwin on t im projt onto t or. Ty will s tt t smll trinl is o t til sin two o tm n it into. Sin two smll trinls lso it into t squr, is qul to. Two s lso it into t prlllorm, so,, n r ll. Tis is sown in t mrin. 5 Anotr wy to sow t rltionsips mon t polyons is y rwin lins to suivi t tnrm into t smllst unit (in tis s, ) s sown in t mrin. It is tn sy to Simply Grt Explortions in Gomtry 6 Fulton n Lomr

2 s tt is o t til. Rions,, n r 2 / 16 or o t til, n rion is 4 / 16 or o t til. Tis utup mto will not work on ll o t tnrm pttrns owvr. 6 Hv stunts xplor t otr tnrm pttrns. T irst six involv rtions tt r s on lvs su s,, n. Hlvs r sir to work wit onptully tn tirs or its. For tis rson, only t lst two tnrms involv tirs or its. Also, in t irst tr tnrms, ll rs us unit rtions; tt is, tir numrtors r on. Tis ns in tnrms our, iv, n six. Ain tis rprsnts notr onptul stp or stunts. 7 You my wis to v stunts nm polyon y its rtristis inst o y its lttr. For xmpl, in tnrm on, rion is t lr isosls rit trinl. Rions n r lso isosls rit trinls. Rion is squr n is prlllorm. Ty n isply tir nswrs usin ts nms s sown r. rion nm rtion rit isosls trinl ¼ Rmin tm tt trinls r lwys sri y tir nls n tir sis. Tr r tr lssiitions o : nls ut ll tr nls r lss tn 90º rit on nl is xtly 90º otus on nl is mor tn 90º sis quiltrl ll tr sis r qul isosls two sis r qul sln no sis r qul Stunts n k tir work y in ll t rtions or t rions o tnrm. Ts soul up to on (wol tnrm). Simply Grt Explortions in Gomtry 7 Fulton n Lomr

3 Journl Prompts: Explin ow polyons,, n r lik n ow ty r irnt. Wy os t ut-up mto only work on som tils ut not on otrs? Homwork: You my wis to ssin uninis tnrms s omwork. Anotr option is to v stunts mk til o tir own n writ rtions or rion. It soul m o t lst svn stions o t lst iv irnt sps. Tis soul rwn on 4 or 6" squr. You my wis to pss out ri ppr or tis tsk. Tkin Closr Look: * Rnm rion in tnrm qul to on. For xmpl in tnrm 1, ssum t prlllorm s vlu o on. Wt is t rtionl vlu o otr rion? You my lso sk stunts to in iml vlus or tnrm. In ition, you n v stunts writ prnt vlus or rion s sown or tnrm 1 low. Rion: Frtion: Diml: Prnt: ¼.25 25% Assin ost or vlu to vrious rions. I t mium-siz trinl o tnrm on slls or $1.37, wt is t ost o rion n t wol til? I tnrm two osts $5.64, wt woul pi ost? Assssmnt: By llowin stunts to work in roups n y skin tm to rtionliz tir nswrs, you will l to ssss tir lvls o unrstnin. Homwork n ssss tr olltin it, or you my wis to v stunts tr pprs n solv otr s puzzls. Simply Grt Explortions in Gomtry 8 Fulton n Lomr

4 Answr Ky Tnrm Rion Frtion Tnrm Rion Frtion / i 3 / 32 3 / 8 3 / 16 3 / 16 1 / 3 1 / 6 1 / 12 1 / 6 1 / 12 1 / 24 1 / 5 1 / 10 1 / 20 1 / 20 1 / 20 1 / 10 1 / 20 1 / 10 1 / 5 Simply Grt Explortions in Gomtry 9 Fulton n Lomr

5 Tnrm Mstr Tnrm 1 Tnrm 2 Simply Grt Explortions in Gomtry 10 Fulton n Lomr

6 Tnrm Mstr Tnrm 3 Tnrm 4 Simply Grt Explortions in Gomtry 11 Fulton n Lomr

7 Tnrm Mstr Tnrm 5 Tnrm 6 Simply Grt Explortions in Gomtry 12 Fulton n Lomr

8 Tnrm Mstr Tnrm 7 Tnrm 8 i Simply Grt Explortions in Gomtry 13 Fulton n Lomr