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L7877777777 776i 7 7867 7`77 777777`x =(`(8`5775I7`B` 76`77`>J><;VU<)?<`8'x0|<&HhHh 8 8 8 8V&` aI꽌ɪVɭ&Y:&<&Y:&;: 꽌ɪ\8`&&꽌ɪɖ'*&%&,E'зЮ꽌ɪФ`+*xS&x'8*3Ixix&& 8 9: :' 9: :& :x)*++`FG8`0($ p,&"ųųೳŪŪųųij  !"#$%&'()*+,-./0123456789:;<=>?8  1 '" *"( (9"1 ( ,.(0# 2  /#0/#0 *?'#07#000'#07#0:"4<*55**5*%5)1)1)1)'#0/#0*5*75**5*:5/#0/#0'#07#0:::*::'#07#0"):$(%"%:$(%"%$$2%4%$$2%4%$(2()!)E(!8b $!H(+ "@H !D)"E` @ $ C ` DQ &J80^݌Hh < <݌ < < h < < < <`HJ>݌h Hh݌`葠葠ȔЖȔЖȠHIHHHHhHH݌hHhHh݌H6 (G FG HZXj 80x D9$xxH` >( Z>h Z>L=.xxH >hh@(LH>9L>HH/Hh/ H?-З( 8(& 8$8 H` *8HNx`* >x$50x*$50xL9JJJJ`HHjf5 >h $50x`HA>VD;;P >(ED Z> ?$0x8x D9- 8DD# H8`?E Vˆʎ55L $ 5 55555 &a*5`*5` "L&5_*b*JL%u**Lz%`** $  Q(lXJ̥KlV $  Q(lV eօ3L e3L &%R*L &%Q*L d' "L4% N'e*)n*5 5 &`@-e*f*f* 5 "L# "5f*`L %.* *t*Q*L$ %L&*L` "O**P**u** d' "L% N'e*)n*o*o*n* &8ɍ` ^&f\*555L& ^&NR* & "R*ΩL&)\*Z* ʽ LH*v 3h`0h8` " ['L & N'С55 &5`*A*@` +5L^6L65`  \* ?*0 '\* '  Q( ^&\*lZl^?*c*q)H c*h`f*5h*5j*555@O*AP*`u*@`@5&`Q*R*`E 'Ls' ' ' @DAE@u*`8` %@ @A@`@`**@*A`M5 ) "L&`8@AW*c*@8@-@HAȑ@hHȑ@ȑ@hHȑ@Ȋ@c*h8&ȑ@Hȑ@Ah@L'Hȑ@ȑ@* htphso`hMhL`9V*8U*897T*6S*67`INILOASAVRUCHAIDELETLOCUNLOCCLOSREAEXEWRITPOSITIOOPEAPPENRENAMCATALOMONOMOPRINMAXFILEFINBSAVBLOABRUVERIF!pppp p p p p`" t""#x"p0p@p@@@p@!y q q p@  LANGUAGE NOT AVAILABLRANGE ERROWRITE PROTECTEEND OF DATFILE NOT FOUNVOLUME MISMATCI/O ERRODISK FULFILE LOCKESYNTAX ERRONO BUFFERS AVAILABLFILE TYPE MISMATCPROGRAM TOO LARGNOT DIRECT COMMANč$3>L[dmx- (   Ϡ734@~3!+,W,o,*--,,9,-.-~3~3,,,,~3~3,,,,~3_*3 j.5 *H*H`Lc3 (+L3 +55555 1^3_* )3J Q*L_3Ls3443 D23455545554 70 / 7 :/354545455454555535L^/5-5I5555 55` / 4/ 2-5! / 08555454 70L3 (+50+5B5C3 2 70L35 *H*H`Lg3L{3505 *H*H` 3 ,5L3 3 1 ,H 1hBL, 0 BH [1 1h`Lo3 35 ,L3 3 1B , 1L,H 0hB@ 55 [1L133 (+34) 34 70L3 3L3 (+ 055L- (+34L{33454445 70 ^/* / 3B0 HȱBh -355 -8 /L38 25` +5 /3 /. /. 3 E7D B. /. /. 0]34S0J4 4) 3 4D4E B. 4  /. 02L3 Ν3 3`HD٤33DEEhiHLG.h ` /5B5-` /5B-` + X05I33383 33DH /4 E03744Ȍ7 X040 7 J7L35B5C`,5p` / R0-55`50` K/ R0-55`575755` 4/ K/ /( 55L/BȱBL/58` D2BH5BH :/ 75Bȭ5Bhh55 R0B5m55ȱB5m55` /LR0557755`*7*75LR0 E0(33 48`433 R0` E033LR0*7*7`777 555I7575757577** 7757`7 L35555f /55555555 ^/`855 i /B58` 41L 15ȱB5 /5555 /5`3 D23ȑB55B5 / 7 55`5555555555 5555`555`55BC55`5555`L3 /5B5C355 0Q340"B4 3` 02۰Ϭ33B438`3i#`3ЗLw35!50>5555`53 /3m3 3 3733i35 3583 /35ЉLw35`H /5h 25L/~43 533`55555555J5m55m5jn5n5n5ۭ55m5555m55m55`"L? 585H ~.(3` # d ֠z# u*`QHT(33),VT(19)C1:"H":CO,HT(33)C2,VT(20)C2:"JK":210^)CL$:2:1:"If we take the bar showing":CO,203,6:"B":CO,203,14:"L":2:29:","c)DX140:DY54:VT27:HT70:NP3:BN1:600:BB,167,28,208,80:400h)12:"and cut each piece into 4 pi3),VT(19)C4:"They are EQUAL FRACTIONS."V)CO,HT(30),VT(19)C2:"=":CO,HT(32),VT(19)C2:"=":CO,HT(34)C4,VT(20)C4:"."<Y)CO,HT(29),VT(19)C1:"B":CO,HT(29),VT(20)C2:"M":CO,HT(31),VT(19)C1:"D":CO,HT(31),VT(20)C2:"O":CO,:CO,HT(6),VT(17)C5:"L":17:5:","O)CO,HT(9),VT(17)C3:"D":CO,HT(9),VT(17)C5:"O":17:9:"and":CO,HT(15),VT(17)C3:"H":CO,HT(15)C3,VT(17)C5:"JK"*T)17:15:"all stand for the":CO,HT(3),VT(18)C2:"same amount.":CO,HT(183X,109183X,134:X:188,108188,134:5:187,109187,134@)3:X01:91X,3091X,100:156X,30156X,100:X:7:X01:91X,10091X,140:156X,100156X,140:XE)CO,93,27:"'":CO,149,27:"("(J)DV1:400:17:"So":CO,HT(6),VT(17)C3:"B"C6,VT(9)C1,HT(25)C1,VT(12)C1:BB,HT(26)C1,VT(9)C1,HT(27)C5,VT(12)C1;)VT13:HT7:NM8:DN12:1200:14:10:"=":DX97:DY27:VT108:HT90:NP12:BN5:600;=)4:X01:159X,109159X,134:167X,109167X,134:175X,109175X,134:X:X04::"LOOK AGAIN! The shaded parts ARE":"all the same size."1)VT5:HT7:NM2:DN3:1200:6:10:"=":DX98:DY27:VT36:HT91:NP3:BN1:600:BB,160,37,187,626)VT9:HT7:NM4:DN6:1200:10:10:"=":DX98:DY27:VT72:HT91:NP6:BN2:600Q8)BB,HT(23)243,153g)19:"Look at the shaded part of each":"bar. Are the shaded parts all the":"same size?")CO,HT(14),VT(21):SKI,3,A$:(A$,1)"N"(A$,1)"Y"10525")(A$,1)"N"ī10540')CO,HT(3),VT(19):CEW:"RIGHT!":210:10590:,)CL$:211)C1,HT(35)C5,VT(14)C1t )VT15:HT15:NM8:DN12:1200:16:18:"=":DX98:DY27:VT126:HT147:NP12:BN5:600)4:X02:216X,127216X,152:224X,127224X,152:232X,127232X,152:X:X04:241X,127241X,152:X:245,126245,153:5:243,126 )VT7:HT15:NM2:DN3:1200:8:18:"=":DX98:DY27:VT54:HT147:NP3:BN1:600:BB,216,55,243,80 )VT11:HT15:NM4:DN6:1200:12:18:"=":DX98:DY27:VT90:HT147:NP6:BN2:600 )BB,HT(31)C6,VT(11)C1,HT(32)C8,VT(14)C1:BB,HT(33)C8,VT(1220 HTp NM" ":C3:HT(HTC2)C2,VT(VTC2)C6HT(HTC2(DN$))C1,VT(VTC2)C6:VTC2:HT:DN" ": )CL$:CO,77,3:"EQUAL FRACTIONS":3:"are fractions that look different":"but stand for the same number or":"amount."::"FOR EXAMPLE:"cHTDX,Z1::4(BN4):Z3VT` lZ11NP1:Z2HTDXZ1NP:Z2,Z3Z2,Z3DYZ21,Z3DYZ21,Z3::f  *C3:NPNP1:HT(HT),VT(VT1)C3(HT(HT))(NP3)1,VT(VT1)C3:C0:CO,C0,VT(VT1):  NM$(NM):DN$(DN):VT:(DN$)2(NM$)1ĖHTC1:HT(ZZ)(ZZC1)C7:VT(ZZ)(ZZC1)C9@ WIND,HT(3),0,279,191K 10500Q W 21:5:"Press SPACE BAR to continue";:16368,1:16384,128:BB,0,180,279,191:16368,0: DELAY LOOP Z1C0CXCCDV:: X bBN:Z1VTVTDY:HT,Z1z" : COMPARING.P2+ : (C) 1982, MECC? : BY: BILL WAYZ : UPDATE 83/07/12 HBWn" MAXFILES 1"y33972C00:C11:C22:C33:C44:C55:C66:C77:C88:C99:CX10:CT20:CC100:CL$(12):D$(13)(4):CN$(14):CO$(15)FLG10% 2              8,0-" Press SPACE BAR to continue.";\Z01:ZC(16384):Z(ZC141)(ZC160):Zs16368,0:1:23: 2-CHAR INPUTKC0:A$"":LC0:16368,0:(127);" ";:20LCLC1:LC255LC078,LC:X(16384):X128954 16368,0:TTTTT0TT TTTTT U*U*U*U*U*TTTT U*U*U*U*U*T TTTor C)":16:"Which place do you want to try? ";:16368,C0a*A$:A$"A"A$"B"A$"C"10940j*A$;*B$:B$(C8)B$(13)10960*B$(C8)ĺB$;:10940*A$"B"11110*A$"C"11060*(QA)İ3000:10930*QA1:CL$+VTC2:HT1514:NMN1:DND1:2100:VTCX:HT26:NMN2:DND2:2100:HT39:VT78:Z163:Z2111:2000:HT124:VT78:Z1148:Z2111:2000:HT208:VT78:Z1232:Z2111:2000*:11:11:"<";:17:"<";:23:"<";:29:"<";:14:C8:"A";:CT:"B";:32:"C":*17:" (Enter A, B, 17:HT24:NMN2:DND2:2100::18:21:"<":9990*CL$:"Now we must determine where belongs.":VTC1:HT30:NMN3:DND3:2100::C4:"The three possible positions for the"::"fraction are shown below:":VTC5:HT11:NMN3:DND3:2100*VTCX:HTD2:2100:9990:VT12:HT18:Z1C1:2200:2300::12:CX:N1"X"D2"="N1D2:2300:VT12:HT18:Z1C0:2200:2300::12:26:D1"X"N2"="D1N2:2300:2300*:17:11:"so":(N1D1)(N2D2)SNN1:SDD1:N1N2:D1D2:N2SN:D2SD0*VT17:HT18:NMN1:DND1:2100:VT2)(D2N2)(D3N3)(D1N1)(D3N3)10850l*VTC5:HT15:NMN1:DND1:2100:VTC5:HTCT:NMN2:DND2:2100:VTC5:HT25:NMN3:DND3:2100::C9:C6:"First choose two of the fractions":15:"to compare.":VT12:HT18:NMN1:DND1:2100v*VT12:HT23:NMN2:DNк"Now let's put the following fractions in order from smallest to largest.":EFC0:QA0:QB0:QC0(b*D1(C8(C1)C2):D2(C8(C1)C2):D3(C8(C1)C2):N1((D1C1)(C1)C1):N2((D2C1)(C1)C1):N3((D3C1)(C1)C1):D1D2D2D3D1D3(D1N1)(D2N200:2300:C7:26:D1"X"N2"="D1N2:2300D*:11:18:"Since ":12:N1D2" is less than "N2D1:VT16:HT18:NMN1:DND1:2100:VT16:HT24:NMN2:DND2:2100::17:21:"<":9990:CL$:C3:14:"Which is less?":CEW:EFC1N*L1L1EF:L1`X*L1C1C3:CL$:"fractions is to follow the":12:"arrows and multiply.":(N1D1)(N2D2)SNN1:SDD1:N1N2:D1D2:N2SN:D2SD(:*VTC7:HT18:NMN1:DND1:2100:VTC7:HT23:NMN2:DND2:2100:VTC7:HT18:Z1C1:2200:2300:C7:CX:N1"X"D2"="N1D2:2300:VTC7:HT18:Z1C0:2((DND1NMN1)(DND2NMN2))10800T*((NMDN)(N1D1))((NMDN)(N2D2))10800~&*:15:C8:"Very good!!":9990:108300*16:10:"No, let's look at this":10:"problem more carefully.":9990n5*CL$:"Remember: A quick way to compare two":12::EFC0y*D1(C8(C1)C2):D2(C8(C1)C2):N1((D1C1)(C1)C1):N2((D2C1)(C1)C1):D1D2(N1D1)(N2D2)10760%*VTC6:HT17:NMN1:DND1:2100:VTC6:HT24:NMN2:DND2:2100:LN$(N1)(N2):LD$(D1)(D2):VT11:HTCT:1000:NM(NM$):DN(DN$):ready tried that place.":14:"Try another."2 Q'" SPACE BAR ROUTINE. "'21:C7:"Press SPACE BAR to continue":16368,C0'(16384)1289992 ':CT::CEL:16368,0:)CL$:L1C1C3::C3:14:"Which is less?":CEW::C7:CT:"or"7776.>>677NJ,,,,,,,-%%*%%%----ԚҚҚҚ*,-556....5-ۀۀۀ>>.6656>67?676656677?%,%%%-,%%%%-,-66555---55.6.6..Q*655666IJQIJQIJQIIJJQQIJJQQIJJQQIۀۀҚӚ,-5577-56?/677'$<<ۀ>6.%,$$$,$$$%$%,LIIIIIIII%1/,%-,$$%ۀ,$%$,,4555ڛ$'<$'<<47:<<<<$$'$?$,MI 5=?.-7$%%-..%%-..6>>?77?$$66???ۓ???'$<66%$,---KIIQIQIQIJIJIJIIIQIQIQIJIJIJIIQIQIQIJIJIJIIIQIQI;6655--,$$''??>6655--,$$''??>6655--6?'-%-қ-Қ"&&&,%-4%-%-.-..&.6'7<'???>>>?'<,,$$$%$%%%-,%-,--.5-..5..65.6.666.665666666.6?<'?7767?<<''??>7?'' 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D$ IS THE DIGIT TO BE ANIMATED. PASS IN HT,VT AND Z3,Z1 AS THE DESTINATION. "j HT(HTC1)C7:Z3(Z3C1)C7C1:Z1(Z1C1)C9:VT(VTC1)C9:Z2VTC1Z1:CO,HT,Z2C1:" ":CO,HT,Z2:D$::HTZ3ıt Z3HT2440 ~ Z2HTZ3:CO,Z2C1,Z1:" ":CO,Z2,VT(VT)C4HT(HTC2)C6,VT(VT)C4HT(HTC2)C6,VT(VT)C2:HT(HTC2)C6,VT(VTC2)C6HT(HT)C5,VT(VT)C4HT(HT)CX,VT(VT)C4HT(HT)C5,VT(VT)C4HT(HT)C5,VT(VT)C1:" TIMING LOOP " Z2C0100::Q` " ANIMATE DIGIT DOWNT)C3,VT(VTC1)C6: " PRINT ARROW. PASS IN HT,VT OF THELEFTMOST FRACTION. Z1=C0 IF ARROW IS TO GO LEFT TO RIGHTZ1=C1 IF ARROW IS TO GO FROMRIGHT TO LEFT. "C3:Z12230>HT(HT)C5,VT(VTC2)C6HT(HTC2)C6,VT(VT)C4HT(HTC2)C1,ER LEFT COORDS AND Z1,Z2 ARE COORDS OF THE LOWER RIGHT CORNER. " C3:Z3C0C2:HTZ3,VTZ3Z1Z3,VTZ3Z1Z3,Z2Z3HTZ3,Z2Z3HTZ3,VTZ3:: 4" PRINT A FRACTION. ">C3::HT:VTC1:" "NM:HT:VTC2:DN:HT(HTC1)C5,VT(VTC1)C6HT(HA$"0")1080< BA$(C8)A$(13)DN$DN$A$:A$;:1120\ LA$(C8)DN$"":A$;:1070b V `A$:A$(C8)A$(13)1120 jA$(C8)(DN$)C1DN$"":A$;:1070 tA$(C8)DN$(DN$,C1):A$;:1080 ~A  " MAKE-A-BOX. HT,VT ARE UPP,C1)(LN$,C2,C1)Z3C0:10308 LD$(LD$,Z1,C1):Z3Z1B NM$;f A$:A$(C8)ĺA$;:NM$"":1020z A$(13)1040 $(C8):HT:VTC2 .DN$:Z1C1(LD$):DN$(LD$,Z1,C1)Ă:1070 3DN$;:DN$"1"1120 8A$:A$(C8)A$(13)(A$"9" @@@h @ @ @ p pp p p pDer option includes choice of","difficulty level." PPPPPPPP pp(p  @@@h @ @ @ p pDpt-cut","method to order unlike fractions using","cross products.","" "Ransom","RANSOM","a drill and practice game on ordering","unlike fractions. A teacher option","includes choice of difficulty level.","" PPPPPPPP pp(p 2,# OF PROGRAMS9 1,"ADVENTURES WITH FRACTIONS","",3  "Comparing Fractions","COMPARING","a tutorial on ordering unlike","fractions using the common denominator","method.",""D "Cross Products","CROSS PRODUCTS","a tutorial presenting a shorX141ĺ" ":+X129KC0A$(1):" ":tX136KC0KCKC1:" ";:(20):(127);:20:A$(A$,1):KC0A$""X175X219KC2ĺ(X128);(127);:20:A$A$(X128):KCKC1:954954 FIRST LINE OF DATA:DISKETTE #,NAME LINE 1,NAME LINE 16:7:"ordering fractions using":18:12:"CROSS PRODUCTS.":210# xCL$:11:5:"Do you want to try again?":11:31:SKI,3,A$:(A$,1)"Y"(A$,1)"N"30730#x(A$,1)"N"30760#x955,0:WIND:D$;"RUN COMPARING"#(xWIND:D$;"RUN HELLO"r is a good time to review":13:10:"COMMON DENOMINATORS.",*CO,88,162:"Please wait....":955,0:956,0:WIND:D$"RUN COMPARING.P3",*CL$:11:"Good! Let's continue.":210:11:25:"Please wait.":WIND:956,1:D$;"RUN COMPARING.P3":ժՒ̙̙̙B̙̙̙تժժ*U*U*U*U*U*U*U*UĢĢ*U*U*U*U*U*U*U*U*U*U*U*U*U*UjâĢĢĢĢĢĢĒU*U*U*U*U*U*UժՒB̙BB̙Bتժժ*U*U*U*U*U*U*U*âĢĢIJU*U*U*U*U*U*U*U*U*U*U*U*U*UĢĢĢĢĢĢĢU*U*U*U*U*U*UժՒՙřժժժժժ̭̩تժժĈĈĈĈĈĈĈĈ*U*U*U*U*U*U*U&ĢĢĢĢĢĢ\*U*U*U*U*U*U*UժՒ̙̙̙x̙̙̙تժժ*̈߈?ĈĈ*U*U*U*U*U*U*U*5ĢĢĢĢĢĢ+U*U*U*U*U*U*UժժժժժժժժժժժժժժժժժĐ̙̙̙B̙̙̙ȈԪ*U*U*U*U*U*U*MĢĢĢĢĮU*U*U*U*U*U*U*UժəԪժժժժժժժժժժժժ̹ժժ?ψ'U*U*U*U*U*U*UjĢĢĢĢĢU*U*U*U*U*U*U*Uժժժժժժժժժժժժժժժժժժժժժ哳B̙BB̙Bתժ*U*U*U*U*U*U*UĢĢĢĢV*U*U*U*U*U*U*U*UժժժժժժժժժժժժժժժժժժժժժĐ̙̙̙B̙̙̙Ȉժ*U*U*U*U*U*U*UĢĢĢĢ*U*U*U*U*U*U*U*USKI,3,A$:A(A$):A0109253+*A15(A15)10950L+*FBFB1:FB1ī10945_+*(A$)310945+*CO,14,99:CEW:"That may be right but use":"a two digit number. Try again.":DV3:400:CO,14,99:CEW:10925:,*CO,230,81:"No!":210:CL$:11:5:"This$:(A$,1)"Y"(A$,1)"N"ī10912:**(A$,1)"N"10945**CL$:2:"Find a COMMON DENOMINATOR for"::"these two fractions:":VT45:HT84:NM2:DN3:1200:CO,119,54:"AND":VT45:HT140:NM3:DN5:1200+*10:"One common denominator is ":CO,196,81:3:NM3:DN5:1200:CO,196,72:".":14:"We need to write each fraction as an"::"equal fraction having a COMMON"::"DENOMINATOR.")*210:CL$:8:"Do you already know how to find"::"a COMMON DENOMINATOR for two"::"fractions?"#**CO,91,99:SKI,3,ACO,14,171:CEW:20:"Please wait....":WIND:D$;"RUN COMPARING.P2"(*CL$:CO,7,9:"We can use the idea of equal fractions":CO,14,27:"to help us order unequal fractions.":9:"FOR EXAMPLE,":HT110:VT63:NM2:DN3:1200)*CO,147,72:"and":HT168:VT6 find equal fractions.":16:"Now let's use that skill...":210:10900'(CO,14,99:CEW:"No,":HT42:VT90:NM5:DN8:1200:CO,70,99:"=":HT70:VT90:NM15:DN24:1200:CO,105,99:"."'(16:"Let's review how we find equal":18:"fractions.":210B()A$,1)"N"įCO,14,108:CEW:10495&(CL$:2:"Find the missing numerator:":HT98:VT36:NM5:DN8:1200:CO,133,45:"=":HT154:VT54:NP2:800:CO,154,54:"24"&(CO,154,36:SKI,2,A$:A(A$):A1510490F'(12:"GOOD WORK! You understand how":14:"to11:"EQUAL FRACTIONS"%(13:"Do you already know how to find":15:"an equal fraction with a different":17:"denominator? "%(CO,105,144:SKI,3,A$:(A$,1)"Y"(A$,1)"N"Ģ19:"Enter either 'YES' or 'NO'.":CO,14,162:DV2:400:CEL:10465 &((ons"k$(13:2:"so that they do have LIKE":15:2:"DENOMINATORS, then we can order":17:2:"them.":210$(CL$:2:"To follow our plan,":4:1:"we will first need to understand"%(X02:70X,45X203X,45X203X,90X70X,90X70X,45X:X:8:method":"to order fractions.":210#(CL$:2:"HERE IS OUR PLAN:":X02:14X,36X252X,36X252X,162X14X,162X14X,36X:X$(6:2:"We already know how to order":8:2:"fractions with LIKE DENOMINATORS.":11:2:"If we can rewrite the fracti,81:"Besides, drawing diagrams takes a":DV1y"(400:12:10:"L":400:12:12:"O":400:12:14:"N":400:12:16:"G""(400:12:20:"T":400:12:22:"I":400:12:24:"M":400:12:26:"E":400:12:28:"!":400##(16:"We need to find a better iagram usually":CO,14,108:"helps us order fractions":CO,119,135:"BUT...":210!(CL$:2:"Drawing diagrams might be very":"difficult if the fractions were"!(HT84:VT36:NM53:DN89:1200:CO,126,45:"and":HT147:VT36:NM27:DN75:1200-"(CO,1410:CO,35,21:CEW:10395 (CL$:2:"Yes,":CO,49,6:"E":CO,49,14:"Q":CO,63,9:"is less than":CO,154,6:"B":CO,154,14:"L":CO,161,9:"." (HT98:VT36:NM5:DN8:1200:HT140:VT36:NM2:DN3:1200:CO,133,45:"<"Q!(CO,14,81:"Looking at a d:X,64X,98:X:X165173:X,64X,98:X}(HT35:VT117:NM2:DN3:1200:CO,63,126:"=":DX98:DY36:HT77:VT108:NP3:BN5:600:BB,147,109,173,143(FAFA1:FA110380(CO,14,153:"Let's review what we have been":"learning....":210:10025 (22:"is less than":CO,147,6:"B":CO,147,14:"L"s(HT98:VT27:NM5:DN8:1200:HT140:VT27:NM2:DN3:1200:CO,133,36:"<"x(HT35:VT72:NM5:DN8:1200:CO,63,81:"=":DX98:DY36:HT77:VT63:NP8:BN6:600'z(4:X142147:X,64X,98:X:X15415814,171:"Which is less,":HT105:VT162:NM2:DN3:1200:CO,133,171:"or":HT140:VT162:NM5:DN8:1200:CO,168,171:"?"d(LN1:LD1:HT182:VT162:1000:NM$"58"ī10390i(NM$"58"NM$"23"103402n(CL$:2:"No,":CO,42,6:"E":CO,42,14:"Q":7:":DX98:DY36:HT84:VT72:NP3:BN5:600:4:X152180:X,73X,107:XZ(HT28:VT126:NM5:DN8:1200:CO,56,135:" =":DX98:DY36:HT84:VT117:NP8:BN6:600\(4:X149154:X,118X,152:X:X161167:X,118X,152:X:X174180:X,118X,152:Xw_(CO,ctions:":CO,91,24:"B":CO,91,32:"L":CO,112,27:"and"p<(CO,147,24:"E":CO,147,32:"Q":CO,154,27:"."A(CO,14,45:"To find which fraction is less,":"we could draw a diagram.":210:CO,14,63:CEWEP(HT28:VT81:NM2:DN3:1200:CO,56,90:" =W((CO,21,117:"-have different denominators":210:BB,104,54,109,63:BB,174,54,181,63-(CO,14,135:"So we cannot use the methods of":"ordering fractions with like"2("numerators or like denominators.":210:7(CL$:CO,14,9:"Look at these two fra9,45:"<":HT146:VT36:NM2:DN3:1200W(CO,14,81:"Notice that these two fractions"(CO,104,36:"(":CO,174,36:"'"(CO,21,99:"-have different numerators":DV1:210#(BB,104,36,111,45:BB,174,36,181,45:CO,104,54:"(":CO,174,54:"'"87,53:HT84:VT63:NM2:DN3:1200:CO,112,72:"="]'DX63:DY27:HT126:VT63:NP3:BN2:600s'BB,172,64,187,89'210:CO,14,27:CEW:3:10245(X02:88X,27X193X,27X193X,72X88X,72X88X,27X:X& (HT104:VT36:NM1:DN2:1200:CO,13NO!":210S'CL$:CO,84,6:"A":CO,56,9:CO,84,14:"K":CO,98,9:"is less than"'CO,189,6:"B":CO,189,14:"L":CO,196,9:".":NM$"12"10230'HT84:VT27:NM1:DN2:1200:CO,112,36:"="1'DX63:DY27:HT126:VT27:NP2:BN1:600:BB,160,28,1"Which fraction is less,":HT168:VT135:NM1:DN2:1200:CO,196,144:"or"|'HT203:VT135:NM2:DN3:1200:CO,231,144:"?"'LN1:LD1:HT231:VT135:1000'NM$"12"NM$"23"10165'NM$"12"įCO,203,166:"RIGHT!":210:10200 'CO,210,166:"Y27:DX84:HT105:VT27:NP2:BN1:600<'BB,151,28,187,53s'CO,14,68:"is less than":CO,14,90:"this amount"'DY27:DX84:HT105:VT90:NP3:BN2:600'BB,165,91,187,116:210'Z139:DY27:HT105:VT27:Z2105:Z384:BN1:700I'CO,14,144:1:"2.) Your friend"ho'CO,14,180:CEL:"Which number?":CO,112,180:SKI,1,A$:A(A$):A1A210095wt'A210115~'CL$:CO,14,9:"RIGHT! You have less candy.":10120'CL$:CO,14,9:"No, you have less candy."'CO,14,27:"This amount"&'D:NP3:BN2:600{`'BB,67,109,87,139:CO,112,117:"Your friend has":CO,224,114:"B":CO,224,122:"L":15:"of the bar."e'18:"You have fewer, but larger":"pieces than your friend.":210j'17::CEW:"Who has less candy?":6:"1.) You":CO,49,17ave 1 piece of the":"first bar."LL'DY32:DX74:HT14:VT36:NP2:BN1:600Q'BB,54,37,86,67:6:15:"You have ":CO,175,42:"A":CO,175,50:"K":15:"of the bar.":210V'CO,14,81:"Suppose your friend has 2 pieces":"of the other bar."['VT108cut":"into 2 pieces."B8'DY36:DX84:HT133:VT81:NP3:BN2:600w='10:"The other bar":"is cut into 3":"pieces."B'16:"You can see that the pieces in":"the bottom bar are smaller than":"the pieces in the top bar.":210!G'CL$:"Suppose you her;":DV1:400('7:9:"Type the numerator,"::12:"press RETURN,"::400:"then":400::9:"type the denominator,"::12:"press RETURN.":210)'CL$:"Here are two equal candy bars.".'DY36:DX84:HT133:VT36:NP2:BN1:6003'5:"One bar is CO,35,117:"2. the Equal Fractions section":CO,35,135:"3. the Common Denominator section" 'CO,14,162:"Which ?":CO,70,162:SKI,1,A$:A(A$):A1A2A310016"'(A)10025,10497,10947&'CL$:"When you want to enter a fraction"::"as an answiety of"::"numerators and denominators."'CO,14,135:"Have you used COMPARING FRACTIONS"::"before ?":CO,75,153:SKI,3,A$:(A$,1)"Y"(A$,1)"N"10010'(A$,1)"N"10022['CL$:CO,21,81:"You can start at":CO,35,99:"1. the beginning":DN):(DN$)2(NM$)1THHT21:12172 THHT14@ CO,TH,VT NM" ":3:HT12,VT12HT12((DN$)7),VT12:CO,HT14,VT18:DN" ": 'CL$:CO,70,36:"COMPARING FRACTIONS"*'CO,14,63:"In this lesson you will be using"::"fractions with a varHT,VT6HT(NP3)1,VT6:0:CO,0,VT9:. N 3:HT13,VT12HT26,VT12 CO,HT14,VT:SKI,LN,NI$:NI(NI$):(NI)NI$1020 $CO,HT14,VT18:SKI,LD,DI$:DI(DI$):DI0(DI)DI$1060 yNM$NI$DI$:QINIDI ~ % NM$(NM):DN$(00:HT23:NMN3:DND3:2100]%+:18:CT:"<";:27:"'B' is":27:"not correct.":9990:10900%+CL$::C5:C5:"Yes, 'B' is the correct box."::C5&+" The correct order is:":VT12:HT14:NMN1:DND1:2100:HTCT:NMN3:DND3:2100:HT26:NMN2:DND2:21:DND2:2100:VT12:HT18:NMN3:DND3:2100:HT23:NMN2:DND2:2100:2300:HT18:Z1C1:2200:2300::12:CX:D2"X"N3"="D2N3:2300%+Z10:2200:2300::12:26:D3"X"N2"="D3N2:16:7:"But since "D3N2" < "N3D2" you see that":VT17:HT17:NMN2:DND2:21300::12:26:D3"X"N1"="D3N1:16:7:"But since "D1N3" < "N1D3" you see that":VT17:HT17:NMN3:DND3:2100:HT23:NMN1:DND1:2100#+:18:CT:"<";:27:"'B' is":27:"not correct.":9990:10900$+"be sure it is less than .":VTC9:HT26:NMN2N3:DND3:2100::CX,"u+N3D3N1D1111407"z+11160"+"be sure it is more than .":VTC9:HT26:NMN1:DND1:2100:VT12:HT18:NMN3:DND3:2100:HT23:NMN1:DND1:2100:2300:HT18:Z1C1:2200:2300::12:CX:D1"X"N3"="D1N3:2300#+Z10:2200:20!g+QB1:CL$2!i+N3D3N1D1N3D3N2D211180!k+VT2:HT15:NMN1:DND1:2100:HT21:NMN3:DND3:2100:HT27:NMN2:DND2:2100::C3:18:"<";:24:"<":VTC4:HT130:Z1155:Z238:2000::C8:"For to be in position 'B' we must":"p+VTC7:HTC6:NMce "D3N2" < "D2N3", this is the"::"correct order.":9990:11190 \+"But since "D2N3" < "D3N2" you see that":VT17:HT17:NMN3:DND3:2100:NMN2:DND2:HT23:2100 a+:18:CT:"<";:27:"'C' is":27:"not correct.":9990:10900!f+QBİ3000:1093ure that it is more than .":VTC8:HT31:NMN2:DND2:2100:VT12:HT23:NMN3:DND3:2100:HT18:NMN2:DND2:2100:Z1C1:2200:Z1C0:2200H+2300::12:CX:N2"X"D3"="N2D3:2300::12:26:D2"X"N3"="D2N3:2300::16:C7:N2D2N3D311100C R+1:"SinCİ3000:109306+QC1:CL$9+VT2:HT15:NMN1:DND1:2100:HT21:NMN2:DND2:2100:HT27:NMN3:DND3:2100:VTC6:HT173:Z1198:Z238::C3:18:"<";:24:"<":2000::C7:"For to be in position 'C' we must":>+VTC6:HTC6:NMN3:DND3:2100:"be st since "D3N1" < "D1N3" you see that":VT17:HT17:NMN1:DND1:2100:VT17:HT23:NMN3:DND3:2100%+:18:CT:"<";:27:"'A' is":27:"not correct.":9990:10900*+:16:"Since "D1N3" < "D3N1", this is the"::"correct order.":9990:111904+Q:VTC9:HT31:NMN1:DND1:2100:VT12:HT18:NMN3:DND3:2100:HT23:NMN1:DND1:2100:2300:VT12:HT18:Z1C1:2200+:12:CX:N3"X"D1"="N3D1:2300:VT12:HT18:Z1C0:2200:2300::12:26:D3"X"N1"="D3N1:2300:(N3D3)(N1D1)11050c +:16:C7:"Bu:NMN3:DND3:2100:HT88:VTC5:Z1113:Z238:2000:VTC2:HT21:NMN1:DND1:2100:VTC2:HT27:NMN2:DND2:2100::C3:18:"<";:24:"<":C8:"For to be in position 'A' we must"r +VTC7:HTC6:NMN3:DND3:2100::CX:"be sure that it is less than ."TDY:H Z5VTDY1Z3:0:HT,Z5HTZ1,Z5:BN:HT,Z5DYHTZ1,Z5DY:U HTZ2ıd HTZ2770 Z5HTZ2:0:Z5,Z3Z5,Z3DY:BN:Z5Z1,Z31Z5Z1,Z3DY:: Z5HTZ21:0:Z5Z1,Z3Z5Z1,Z3DY:BN:Z5,Z31Z5,Z3DY:: ( *3:NPNP1:3Z2,Z3DYZ21,Z3DYZ21,Z3::'  0:HT,VTHTZ1,VT:3:Z5HTHTZ13:Z5,VTZ51,VT::0:HTZ11,VTHTZ12,VT:Z5VT1VTDY 0:HT,Z5HTZ1,Z5:BN:HT,Z5DYHTZ1,Z5DY:3((Z53)(Z53)):HT,Z5: 3:Z5HTHTZ13:Z5,VTDYZ51,V10000,10900  w 21:5:"Press SPACE BAR to continue";:16368,1:16384,128:BB,0,180,279,191:16368,0: DELAY LOOP Z1010100DV:: X bBN:Z1VTVTDY:HT,Z1HTDX,Z1::4(BN4):Z3VT! lZ11NP1:Z2HTDXZ1NP:Z2,Z$ : COMPARING( : (C) 1982, MECC= : BY: HBILL WAYX : UPDATE 83/07/12 HBWl" MAXFILES 1"w33972CL$(12):D$(13)(4):CN$(14):CO$(15)R(6):Q(6):P(6):N(20)d(955)1Ĺ955,0WIND,14,0,279,191 ((955)1)                       )JJ . . n)捑m`IMAG`a`RSUIi>Pjjjjjjj0NSjJ V>0ȱ>jNSTj V>` g R  QP (`L W`L ` ` `8p.(m`8p<m0/?0e>>? 4`/0<=(0% Hh @H(hJ)?<= PpL=2 & &JJ==<= P`)Vh /3 3>?1031 >?3e>>?H(?L+Ʌqr+L>ɯd6 8ɀ   Lޥ8e湥 =HwRN(T):N(T)N(C):N(C)R?wC@wTaBw8:C99:CX10:CT20:CC100:D$(13)(C4):CL$(12):HT(ZZ)ZZC7:VT(ZZ)ZZC9b 24576:10000x "GET A FRACTION" C3:HT(HTC2)C1,VT(VTC1)C5HT(HTC1),VT(VTC1)C5::HT:VT NM$:Z1C1(LN$):NM$(LN$,Z1,C1)Ă:1020 (LN$,C1ON THIS PROJECT: MICHAEL BOUCHER AS THE PROGRAMMER ON THISPROJECT, I WOULD LIKE TO DEDICATE THIS PROGRAM TO MY MENTOR AND GOOD FRIEND, MR. MICHAEL BOUCHER. 38054 34000P "MAXFILES1":C00:C11:C22:C33:C44:C55:C66:C77:C8" Program: CROSS PRODUCTS4 (C) MECC, 1983P Date: January 13, 1983W ~MAIN PROGRAMMER: MICHAEL BOUCHER CONTRIBUTING PROGRAMMER: MICHAEL BOUCHER ( THE AUTHOR WOULD LIKE TO THANK THE FOLLOWING PEOPLE FOR THEIR UNTIRING WORK            =":HT13:NMNA:DNDA:1200:HT18:NMR(3):DNR(4):1200:8:20:"=":HT22:NMNB:DNDA:1200)wHT27:NMR(5):DNR(6):1200:8:29:"=":HT31:NMNC:DNDA:1200:X02:28,85X252,85X:X:11:"SECOND:":12:3:"Order the new fractions you found."I.w14:B)));" .)":210:CO,14,117:CEWH wFB2NA(R(FB1)(DAR(FB))):30480qwFB4NB(R(FB1)(DAR(FB))):30480wFB6NC(R(FB1)(DAR(FB)))w(FB2)30420,30430,30500Z$wCO,HT(3),VT(7):CEW:"FIRST:":VT7:HT9:NMR(1):DNR(2):1200:8:11:",14,117:CEW:"No, the numerator is not correct.":"The denominator is OK!":VT17:HT2:NMR(FB1):DNR(FB):1200:18:5:"=":HT8:NMR(FB1)(DA(R(FB))):DNDA:1200 w17:15:"(Multiply the ";R(FB1);" by ";DAR(FB):19:15:" to get ";R(FB1)(DA(R(Fot correct.":15:"Try, again.":210:CO,HT(3),VT(14):CEW:30413vCO,14,117:CEW:"No, the denominator is not correct.":"Let's review how to find common":"denominators."::"Please wait a few moments...":956,0:WIND:D$;"RUN COMPARING.P3"wCO:11:20:"=":HT22:NMNB:DNDA:1200:HT27:NMR(5):DNR(6):1200v11:29:"=":12:31:DA:VT12:HT33:800:CO,HT(33),VT(10):SKI,(DA$),A$:A(A$):NCA:AR(5)(DAR(6))FB6:30470v30500CvCO,HT(3),VT(14):CEW:"No, the denominator is n1200:11:20:"=":12:22:DA:VT12:HT24:NP(DI$):800v10:22:SKI,(DA$),A$:A(A$):NBA:A(R(3)(DAR(4)))FB4:30470AvCO,HT(3),VT(10):CEW:VT10:HT9:NMR(1):DNR(2):1200:11:11:"=":HT13:NMNA:DNDA:1200:HT18:NMR(3):DNR(4):12003:LD3:1000:NANI:DADI:DA$(DA):DILC(DILC)DIMX30419XvFAFA1:FA130460cv30450vNIR(1)(DIR(2))FB2:304709vCO,HT(3),VT(10):CEW:VT10:HT9:NMR(1):DNR(2):1200:11:11:"=":HT13:NMNA:DNDA:1200:HT18:NMR(3):DNR(4):0:HT28:NMR(3):DNR(4):1200:HT34:NMR(5):DNR(6):1200:X02:28,49X252,49X:X:7:"FIRST:"v8:3:"Write the fractions with a common":9:3:"denominator."@vCO,HT(3),VT(10):CEW:VT10:HT9:NMR(1):DNR(2):1200:11:11:"=":HT13:VT10:LN6)PILXMXQPIR(2)(IR(2))IR(4)(IR(4))IR(6)(IR(6))LCI:IMXXPIruFD0Z$"Now":30400\vZ$"Again"vCL$:2:Z$;" order three":"fractions from":"smallest to largest.":4:25:", ,"bvVT3:HT22:NMR(1):DNR(2):120(Q(4)Q(6)).00120350= PP(2)2:Q(4)Q(2)Q(4)Q(6)P(2)4] PQ(6)Q(4)Q(6)Q(2)P(2)6 PP(6)6:Q(4)Q(2)Q(4)Q(6)P(6)4 (PQ(2)Q(4)Q(2)Q(6)P(6)2 2PP(4)12P(2)P(6) xPLXR(2):R(4)LXLXR(4) PR(6)LXLXR(6)PMXR(2)R(4)R(OR(I)(6(1))1:R(I1)(6(1))1= OR(I)R(I1)II2 OI:(R(1)R(3)R(2)R(4))(R(1)R(5)R(2)R(6))(R(3)R(5)R(4)R(6))20350 OR(2)R(4)R(2)R(6)20350 OI262 OQ(I)R(I1)R(I) OI O(Q(2)Q(4)).001(Q(2)Q(6)).001I$1060 yNM$NI$DI$:QINIDI& ~, h NM$(NM):DN$(DN):VT:(DN$)2(NM$)1ĖHTC1:1220p HT NM" ":C3:HT(HTC2)C2,VT(VTC2)C6HT(HTC2(DN$))C1,VT(VTC2)C6:VTC2:HT:DN" ": }OFA0:FB0:FC0:FD0:FE0 ~OI152% NPNP1:HT(HT),VT(VT1)C3(HT(HT))(NP3)1,VT(VT1)C3:C0:CO,C0,VT(VT1):Z  C3:HT(HT1)C4,VT(VTC1)C3HT(HTC2)12,VT(VTC1)C3 HT:VT:SKI,LN,NI$:NI(NI$):(NI)NI$1020 $HT:VT2:SKI,LD,DI$:DI(DI$):DI0(DI)DP(6):N(21)8 2HT(ZZ)(ZZC1)C7:VT(ZZ)(ZZC1)C9S WIND,HT(3),0,279,191^ 20349d j 21:5:"Press SPACE BAR to continue";:16368,1:16384,128:BB,0,180,279,191:16368,0: DELAY LOOP Z1C0CXCCDV:: T *C3: : COMPARING.P4+ : (C) 1982, MECC@ : BY: HBILL WAY[ : UPDATE 83/08/25 HBWo" MAXFILES 1"z33972C00:C11:C22:C33:C44:C55:C66:C77:C88:C99:CX10:CT20:CC100:CL$(12):D$(13)(4):CN$(14):CO$(15) R(6):Q(6):               you have any problems using MECC"::"courseware with your microcomputer,"::"write or call:"::h12:"MECC Help Line":12:"2520 Broadway Drive":12:"St. Paul, MN 55113":12:"(612) 638-0638":900pCL$:SPACE-BAR ROUTINE21:1636s available from MECC."DR8:" Title: ";DN$:D2$""Ė13:D2$h\12:" Direct inquiries to:"f:14:13:"MECC Distribution Center":15:13:"2520 Broadway Drive":16:13:"St. Paul, MN 55113":17:13:"(612) 638-0627"bg900:CL$:3:"If ,30,279,189:3:5! MN$(I)" -"VJ1DL:DE$(I,J)""DE$(I,J)" "ĺ" "DE$(I,J)g J::I:900p*CL$4SUPPORT BOOK INFO>IP$"":IS$"YES"IP$"instructional "H2:17(IP$""):"A manual to aid in the "IP$"use":"of this diskette i16:SLOT #CS1CS7CS6(CS::DISPLAY LOGO\J1300:(16384)128J300}J:16368,0:1023,DN:CL$:DESCRIPTIONS CL$:2:21(DN$)2:DN$:3:11:"Program Descriptions":5:1I1N:(37)18DLİ900:0:BB,0$(A)D$"RUN"MN$(A).&NOT ENOUGH MEMORY6010:"Sorry, this apple does not have enough":"memory to run this diskette."::(48Kisneeded.)"D900XEND OPTIONCL$:11:8:"Insert the new diskette."900: CS(P(P(999))1)m 1 to "N2".":320#hAN2İ600:rAN1İ750:MENU0L|MENU:1021,AR{SEED RANDOM # GENERATOR & CLEAR HGRX(P(78))GET THE PROGRAM:CL$:10:"Getting "MN$(A)"..."PR$"YES"(950)0İ30000CN$"YES"ĺD$"RUN"CN6368,0:"Which number? ";:950R JPR$"YES"A$"PR"ĺD$"RUN SET PRINTER OPTIONS" ODR$"YES"A$"DR"ĺD$"RUN SET DRIVE OPTIONS" TCA$"YES"A$(1)ĺD$"RUN TEACHER OPTIONS"^A((A$)):A1AN2(A)A$ĢVV1:6F35:"Please type a number fro". "MN$(I)- VVVV1:F3IC2VV7F5:HH21B I:VVVV2F2F3d VV:6F35:"Other options:" VV2:9(N9):N1". Program description"SP$ "VV3:9(N8):N2". End" ,RESPOND TO USER'S CHOICE 6VVVV6:VV20VV20 @VV:6F35:1 IS LIMIT) (1023)DNİ700@ K48$"YES"(978)157İ550R DISPLAY MENU] CL$: 1022,0:MENU11:1(D2$""):21(DN$)2:DN$ 2:21(D2$)2:D2$ 5F5:6F35:"Program"SP$":" VV7F5:HH9F38 I1N:VV:HH(I10):I,N:MN$(N),CN$(N),DE$(N,DL)3 FSP$"":N1SP$"s"F PI1N:MN$(I)] ZCN$"YES"ćCN$(I)y dJ1DL:DE$(I,J):J:I nP(I)(I)(I1)256 xC2((N1)2):F2C2(N1)2:ODD # OF MENU ITEMS F3N7: TWO COLUMNS F5N14:FULL SCREEN (18 -DN:(1023)DN51b 2230,64:D$;"BRUN LOGO,A$8000":16304,0:16297,0:16302,0:16299,0 3D$"BLOADHPRT":D$;"BRUN HUTIL.OBJ":D$;"BLOAD ALT1.FNT,A$7000":D$;"BLOADALT2.FNT":DFT,1,28672:DFT,2,26284:AFT,1:700:24576:CL$ 73 <DN$,D2$*  HELLOVERSION 4.4? LAST UPDATE: 83/02/07 HBWR(C) MECC 1982Xt 16383:INITIALIZATIONSDL4:CN$"YES":CA$"YES":PR$"NO":DR$"NO":K48$"YES":IS$"YES":CL$(12)D$(13)(4):QU$(34):D$"NOMON CIO" (::255:0:1    :NM1:DN2:1200:13:"Let's review!":210:20229y9tOCL$:9:"VERY GOOD! Let's continue.":11:"Please wait...":955,29yOWIND:D$"RUN COMPARING.P4"HD1:HT26:1000:((QI(49)).001)203408oOCL$:2:"No,":VT3:HT9:NM4:DN9:1200:4:11:"<":HT13:NM1:DN2:1200:7:"because,":VT9:HT9:NM4:DN9:120019qO10:11:"=":HT13:NM8:DN18:1200:10:16:"<":HT18:NM9:DN18:1200:10:21:"=":HT23:VT8:HT9:NM1:DN2:1200:9:11:"=":HT13:NM9:DN18:1200:12:"Let's review!":DV4:400:201157jOCO,HT(3),VT(15):CEW:16:"Then decide:"::" Which is less,":VT17:HT17:NM4:DN9:1200:18:19:"or":HT22:NM1:DN2:1200:18:24:"?")8lOLN1:L1000:XAQIT6XOVT10:HT31:NM1:DN2:1200:11:33:"=":LN1:LD2:HT35:1000:XBQI6[O((XA(49)).001)((XB(12)).001)Ģ14:27:"RIGHT!":DV3:400:203306`OCL$:2:"No,":VT3:HT9:NM4:DN9:1200:4:11:"=":HT13:NM8:DN18:1200c7eO7:"and":6:7:"Find which is less,":VT5:HT27:NM4:DN9:1200:6:29:"or":HT32:NM1:DN2:1200 6VOXAQI:6:33:".":9:1:"FIRST":10:2:"Write both fractions":2:"with a common":2:"denominator.":VT10:HT23:NM4:DN9:1200:11:25:"=":LN1:LD2:HT27:18:11:"<":HT13:NMOC:DNOD:12004LOEC1FA2ĺCL$:CO,HT(9),VT(9):"You had a little trouble.":CO,HT(15),VT(11):"Let's review.":210:202294OO210[5QOCL$:2:"Now, let's shorten the number of":"steps. Here is another":"practice problem."RD:OCRA:ODRB:OPPX:OXPN3GOECEC1:CO,HT(3),VT(13):CEW:14:"No,":VT13:HT5:NMOA:DNOB:1200:14:7:"=":HT9:NMOP:DNPD:1200:14:12:"<"#4HOHT14:NMOX:1200:14:17:"=":HT19:NMOC:DNOD:1200:18:1:"So...":VT17:HT9:NMOA:DNOB:1200:hich is less":VT10:HT28:NMRA:DNRB:1200:11:30:"or":HT33:NMRC:DNRD:1200e2@OCO,249,90:"?"2BOLN1:LD1:HT36:VT10:1000:(QIQX).001Ģ13:16:"RIGHT!":400:203002DO((QIQB).001)OARA:OBRB:OCRC:ODRD:OPPN:OXPX:202953EOOARC:OBe size pieces is less":"than ";PT;" of those pieces."::"You may want to use the program"1:O17:"LIKE DENOMINATORS to review this.":210:HT30:VT5:NMPS:DNPD:1200Q2=OCO,14,63:CEW:"STEP 5.":4:"Finally, answer the original":11:4:"question, wss,":VT5:HT19:NMPN:DNPD:1200:6:22:"or":HT25:NMPX:DNPD:120003O6:28:"?":VT5:HT30:1000:(QXQI).001Ģ9:16:"RIGHT!":400:2028506OECEC1[18O10:1:"No,":VT9:HT5:NMPS:DNPD:1200:10:8:"<":HT10:NMPT:1200:13:PS;" of the sam;" also.":19:RC;" X ";RB;" = ";PX/,OHT21:VT18:NMRC:DNRD:1200:19:23:"=":HT25:NMPX:DNPD:1200:DV1:400:CO,HT(36),VT(13):PX;" ":210F0.OCL$:2:"STEP 4.":4:"Now order the fractions having":4:"a common denominator."::4:"Which is le"with this common denominator.":DV1:400:14:32:"=".&O15:34:PD:VT15:HT36:NP(PD$):800:CO,HT(36),VT(13):SKI,2,A$:A(A$):APXĢ17:30:"RIGHT!":210:20270#/)OECEC1:16:"No, ";RD;" X ";RB;" = ";PD;", so multiply":"the numerator by ";RB also.":16:RA;" X ";RD;" = ";PN-"OVT16:HT16:NMRA:DNRB:1200:17:17:" = ":HT20:NMPN:DNPD:1200:DV1:400:CO,HT(36),VT(9):PN;" ":2106.$OCO,14,108:CEW:"STEP 3.":14:4:"Write a fraction equal to":VT13:HT30:NMRC:DNRD:1200:400:15:11:"with this common denominator.":DV2:400:10:32:"=",O11:34:PD:VT11:HT36:NP(PD$):800:CO,HT(36),VT(9):SKI,2,A$:A(A$):APNĢ13:30:"GOOD!":DV1:400:20260!-OECEC1:13:"No, ";RB;" X ";RD;" = ";PD;", so multiply the":"numerator:DV1:400:CO,HT(3),VT(9):CEL:20250+OECEC1:9:"No, try ";RB;" X ";RD;" = ";PD:"as the common denominator.":400:CO,HT(32),VT(7):PD;" ":210;,OCO,14,72:CEW:"STEP 2.":10:4:"Write a fraction equal to":VT9:HT30:NMRA:DNRB:1200:400:hich is less,":HT26:VT2:NMRA:DNRB:1200:3:28:"or":HT31:NMRC:DNRD:1200*O5:"STEP 1.":6:4:"What common denominator could":7:1:"you use for these fractions? "(+OCO,HT(32),VT(7):SKI,2,A$:A(A$):IDA:APDįCO,HT(30),VT(9):"GOOD!")ORD(7(1))C3:RDRB20232A) ORC(7(1))C2:RCRD20233) OEC0:PNRARD:PDRBRD:PXRCRB:PD$(PD):PX$(PX):PN$(PN):QAPNPD:QBPXPD:((QAQB).001)20230) OQAQBQXQA:PSPN:PTPX:20237) OQXQB:PSPX:PTPNP* OCL$:3:"Now, find wHT(13X),VT(13X):11X:18:" ":BB,HT(28X)C2,VT(10X),HT(29X)C1,VT(13X)(OHT11X:VT11X:NM3:DN5:1200:12X:18:"<":HT25X:NM2:DN3:1200:DV.15:400:X:210(OFA0(OFAFA1(ORB(7(1))C3(ORA(7(1))C2:RARB20231CO,215,50:"JN":CO,231,45:"."'NHT11:VT11:NM3:DN5:1200:12:13:"=":HT15:NM9:DN15:1200:12:18:"<":HT20:NM10:DN15:1200:12:23:"=":HT25:NM2:DN3:1200'N210:CO,HT(3),VT(15):"SO":X15:X220225T(NBB,HT(12X)C2,VT(10X), z #   !Ů͠ ̮ʠ Ǡ& Ǯв$ ӠӠ$ Ǯг3Ǯд͠+ӠӮв( ԲԠϠĠԧӠĠӠ!ȧϧӠ'ŭ̸!˧ϧˠӠŠ Ϡ̮ʠԱԠԭԠҠӠ$:A$"0"A$"9"10260 (A$;B ((B$:B$(C8)B$(13)10280\ 2(B$(C8)ĺB$;:10260d <(C8 F(C$:C$"0"C$"9"10310 P(C$; Z(B$:B$(C8)B$(13)10330 d(B$(C8)ĺB$;:10310 n(12 x(D$((A$)(C$)):D$;:LC1500:LU!(D$6,108 TO 91,108: HPLOT 195,108 TO 203,108: HPLOT 221,108 TO 231,108: HPLOT 252,108 TO 266,108(HT23:VT11:2100:NMN1:DND1:HT18:2100:Z1C0:2200:Z1Z1:2200:HT108:VT84:Z1170:Z2120:2000:12:C6:"X"; (CX:"=";:31:"X";:35:"="; (C4:A1)(C1)C1):D1D2(N1D1)(N2D2)10220'HT16:VTC4:NMN1:DND1:2100:HT26:VTC4:NMN2:DND2:2100:CT:C5:"and":C8:C6:"Using the cross products method,":C6:"fill in the blanks.":C3](HPLOT 20,108 TO 28,108: HPLOT 48,108 TO 56,108: HPLOT 7No, remember that the arrows":7:"both point upwards and cross."l'HT133:VT84:Z1198:Z2121:2000:9990'L1C1C3:CL$:"Now we will order these fractions.":C2::CEW:EFC0)'D1(C8(C1)C2):D2(C8(C1)C2):N1((D1C1)(C1)C1):N2((D2C168,97:C7:15:"Which of these diagrams is used":C7:"to form cross products? ";{'16368,C0:A$:A$"4"A$"1"10140'A$;'B$:B$(13)B$(C8)10160'B$(C8)ĺB$;:10140'C7:18:A$"4"ĺ"Yes, number 4 is correct.":10200A'",4689,5085,54:65,6589,6585,6189,6585,69:168,48189,69185,69189,69189,65:189,48168,69168,65168,69172,69:65,9386,11482,11486,11486,110S'65,11486,9382,9386,9386,97:168,114189,93185,93189,93189,97:189,114168,93172,93168,93merators of the fractions":C7:"with common denominators.":HT36:VT130:Z1234:Z2165:2010:9990~'CL$:C7:"The arrows help you remember":C7:"how to form the cross products.":C7:C6:"1.";:21:"2.":C7:11:"3.";:21:"4.":C3'65,5089,5085NC3:LC16:BB,149,45,165,70:BB,184,80,200,105:L1C1100:L1j'HT23:VTC6:2100:HT28:VTCX:2100:L1C1100:L1:L:9990o'C3:45,5745,7241,6845,7249,68:235,57235,72231,68235,72239,68::C7:16:"The cross products are the"bt'C7:"nu129,70:BB,79,80,95,105:L1C1100:L1fd'HT18:VTC6:2100:HT13:VTCX:2100:L1C1100:L1:L:9990f'HT28:VTCX:NM2:DN3:2100:9990:HT34:VTC7:Z334:Z1CX:D$"4":2410:11:31:"=":HT34:VTCX:NMC4:DNC6:BB,224,80,240,88:2100:9990@h'NMC2:D9990:C6:26:"2 X 2 = 4":9990:Z1C1:2200:9990:C6:C7:"3 = 3 X 1":9990`'HT13:VTCX:NMC1:DNC2:2100:9990:HTC7:VTC7:Z3C7:Z1CX:D$"3":2410:HTC7:VTCX:NMC3:DNC6:BB,40,80,48,88:2100:C9:11:" = ":9990&b'NMC1:DNC2:LC16:BB,110,45,:VT11:2100::19:12:"<":9990V'CL$:AFT,C2:"CROSS PRODUCTS is simply a short-":"cut to the common denominator method.":HT18:VTC6:NMC1:DNC2:2100:HT23:NMC2:DNC3:2100X'HT106:VT40:Z1172:Z274:2010:9990L['HT18:VTC6:Z1C0:2200:1 X 3 = 3":9990:Z1Z1:2200:9990:C2:27:"2 X 2 = 4":9990B'HT12:VTC2:Z1C7:Z315:D$"3":2400::C9:C7:"Since":17:C7:"is less than":D$"4":VTC2:HT35:Z330:Z1C7:2400:31:C7:",":9990!L':NMC1:DNC2:HT17:VT11:2100:NMC2:DNC3:HT21:2100:9990:HT18:Z1C0:2200:9990::28:13:"2 X 2 = 4":99908'Z1Z1:2200:9990::C5:13:"3 X 1 = 3":9990:CL$:NMC1:DNC2:HT17:VTC2:2100:HT22:NMC2:DNC3:2100:HT100:VT4:Z1165:Z238:2010:'9990:HT17:VTC2:2200>='9990:C2:C4:"S (multiply)":C5:"by CROSSing over from one":C5:"fraction to the other fraction.":HT20:VT5:Z1264:Z265:2010:9990)'CX:" Here is an example. Follow the arrows":" to find the cross products."A.'HT18:VT13:NMC1:DNC2:2100:HT23:NMC2:DNC3C8:"quick method of ordering"::" two fractions with unlike denominators."'13:" Before using this method, you should"::" know the longer method presented in"::" the program COMPARING FRACTIONS.":9990y$'C4::CEW:C5:"means to find PRODUCTZ1:D$::@ Z2HTZ3C1:CO,Z2C1,Z1:" ":CO,Z2,Z1:D$::_'" SPACE BAR ROUTINE. "'21:C7:"Press SPACE BAR to continue":16368,C0'(16384)1289992 ':CT::CEL:M'AFT,C2:11:" CROSS PRODUCTS":AFT,C1:C5:19:"is a"::"e)CO,147,180:SKI,1,A$:A(A$):A4įCO,196,180:"TRY AGAIN!":DV2:400:CO,196,180:CEL:10710)CO,14,99:CEL:CO,14,108:CEL:CO,14,99:"Now multiply the 2 in the numerator":"by that same number (4) to get a":"numerator.")CO,108,133:"$make the":18:"fractions equal.":210)CO,14,99:CEW:"First, think of what number must":"the 5 be multiplied by to get 20.":VT17:HT13:NM2:DN5:1200:HT25:VT19:NP2:800:CO,168,162:"20")CO,108,171:"&":CO,158,171:"$":CO,119,180:"5 X need to find an equal":4:"fraction that has a certain":6:"denominator.":10:3:"For example, =":VT9:HT17:NM2:DN5:1200&)VT11:HT24:NP2:800:9:23:"?":11:22:"20":14:"We need to find a number to replace":16:"the question mark and L:10660G)CO,108,164:"&":CO,119,171:"4 X 5":CO,158,164:"$"u)CO,168,153:SKI,2,A$:A(A$):A2010685)CO,196,144:"NOT QUITE,":CO,196,162:"TRY AGAIN!":400:CO,196,144:CEL:10675)CO,196,144:"RIGHT!":210)CL$:2:"Often we)VT16:HT13:NM3:DN4:1200:CO,108,124:"$":CO,119,117:"3 X 5":CO,158,124:"&":VT18:HT25:NP2:800)CO,168,135:SKI,2,A$:A(A$):A1510670)CO,196,135:"NOT QUITE,":CO,196,153:"TRY AGAIN!":DV2:400:CO,196,135:CEL:CO,196,153:CE27X238X,90X14X,90X14X,27X:X)5:2:"RULE:":6:8:"To find equal fractions,":7:5:"multiply both the numerator":8:5:"and the denominator by the":9:5:"same number (not a zero).")210:CO,14,99:"Apply the rule to this fraction:"o10i)8:14:"we get":CO,154,60:"H":CO,152,68:"JK":8:23:".":CO,158,98:"&":CO,158,136:"$")VT13:HT23:NM8:DN12:1200:210&)CL$:CO,14,0:"Now we have a way to find a":"fraction equal to a given fraction.":X02:14X,27X238X,3:NM2:DN3:1200:2:3:"Notice that if we multiply both":4:2:"the numerator and the denominator":6:8:"of the fraction")CO,175,42:"B":CO,175,50:"L":6:26:"by 4":210:CO,108,98:"$":CO,108,136:"&":11:16:"2 X 4":17:16:"3 X 4":2HT(31)C9,VT(4)C1HT(31)C9,VT(10)C1r)CO,HT(3),VT(14):"we have a diagram of":CO,HT(24),VT(14)C3:"H":CO,HT(24)C2,VT(14)C5:"JK"w)14:24:".":VT16:HT14:NM2:DN3:1200:17:17:"=":HT20:NM8:DN12:1200:210~|)CL$:VT13:HT1eces,":210:NP12:620uj)3:HT(25)C5,VT(4)C1HT(25)C5,VT(10)C1:HT(27)C5,VT(4)C1HT(27)C5,VT(10)C1)m)HT(27)C3,VT(4)C1HT(27)C3,VT(10)C1:HT(29)C7,VT(4)C1HT(29)C7,VT(10)C1:HT(29)C1,VT(4)C1HT(29)C1,VT(10)C1:° $ * `L   ߅ lݦ  L{  ކ& & &'&`LBDFAFCWINSKVSCECEׂ$Gx$K`mHihʍ၌⁎L H g Rh PQ`L     `  `V  P w C g RPQ\X80O 3 9'8ၬ 偨{灭5 "&'䁭1&&ȩ&1&&( 灍恮 "&'䁭1&&`?~|xp`@/ / Ɉɍ(ɠ/ ) L ` ށ߁ ၎ʎL O` ` O `8pMNN8pG.M(GNmM`P) JJJJH) hJJ(jm` g R  QP (`Lށ߁ 䁨t恭L)ɀop)`ɯd 8ɀ   Lޥ8e湥 HH L`opLށ߁miʈ၎& 'q&Lށm߁mʈ    5,40:9990D(C0)(C7(C1)C3):N(C0)(D(C0)(C1)C1):N(C6(C1)C4):D(C1)ND(C0):N(C1)NN(C0):N1(NC1)(NC9)(NC1)(NC9):D(C2)D(C0)N1:N(C2)N(C0)N127000" REMOVE COINS FROM STACK. AFT,C1:"":GC5403Z1C1C5:GCr the coins to"::" the Queen so she can pay the ransom.":9990CL$:4:13:"As you come near the"::13:"throne room, you find"::16:"three more doors"::18:"ahead of you!" 16:13:"Each of the doors has"::13:"a fraction on it...":C42:(" "(GC),C3):Z2C0C3:Z3(SP)::Z300::YCYCDY::GCNCĺ"":22000:AFT,1:"";::AC0512::CL$:7:" TERRIFIC!":"":::" You have collected the ";NC;" coins"::" in time to save the prince."@13:" Now you must delive3464:Z2,38Z23,38Z23,45Z2,45:Z2,100Z23,100Z23,107Z2,107x TZ22,38Z22,45:Z22,100Z22,107:Z2:CK,C0: " ADD COINS TO STACK. AFT,C1:"":Z1C1C5:GCGCC1:YCVTRNRNC1:XCXCDX:YCIYJWB,XC,YC,XCCW,YCCH:CO,246,178Z1,28Z1118Z1,117Z164Z1,117Z164Z1,28Z1:128Z1,28Z1182Z1,28Z1182Z1,117Z1128Z1,117Z1128Z1,28Z1: ECO,0,0:"Choose the LARGEST fraction.":"Use arrow keys to move.":"Press RETURN to open the door.":QKQK14(QK4)C JC3:Z26150 10000E LINES 300-4999 HAVE USER DEFINED SUBROUTINES. c ," PRINT THE 3 DOORS. 6BB,C0,28,54,117:BB,64,28,118,117:BB,128,28,182,117:Z1C0C6:QK2(QK2):Z1,28Z154Z1,28Z154Z1,117Z1Z1,117Z1Z1,28Z1u @64Z1,28Z1118ɒC3 1TL3 2DFT,C1,26283:DFT,7,35072:MX243:DFT,C1,26283:GCC0:CWC7:CHC2:VT82:BL187:BR162:MR54:DX14:DYC4:IX272:IY170:RNC0:RR18:LR24:XCIX:YCIY:FLAGC0:QK1 F:DZ(17):L1017:DZ(L1):: 2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,30,40,B16384:SP16336 (:D$"NOMONCIO":D$"BLOAD CASTLE-A16384-L8184":D$"BLOAD IMAGE.RANSOM":D$"BRUN IUTIL.OBJ":D$"BLOAD BUNCH'O'BYTES":32768:24576:D$"BLOAD HUNK'O'JUNK" -34,C1:FT(C4256):TL(C4256C1):NC(C4256C2):232,C3:233,C4:C0:C1:) Program: RANSOM1 Copyright MECC, 1983 PAUTHOR: MICHAEL L BOUCHERlDATE:FEBRUARY 14, 1983 INITIALIZE CONSTANTS  "MAXFILES1":16384:C11:C22:C33:C44:C55:C66:C77:C88:C99:CX10:CT20:CL$" ":D$(13)(C4):CK16368:K2,27:"2 X 4":CO,112,81:"5 X 4":CO,151,34:"&":CO,151,74:"$"q )CO,168,45:SKI,1,A$:A(A$):A8ī10732 )DV1:400:CO,HT(14),VT(13):"So =":VT12:HT15:NM2:DN5:1200:VT12:HT20:NM8:DN20:1200!)CO,HT(3),VT(16)C3:"B":CO,HT(3":CO,119,126:"2 X"L)CO,HT(22),VT(15):SKI,1,A$:A(A$):A4ī10722Z)DV2:400)CL$:CO,21,9:"Now fill in the missing numerator.":VT6:HT12:NM2:DN5:1200:VT8:HT24:NP2:800:CO,161,63:"20":CO,101,34:"$":CO,101,74:"&"C )CO,11PPP@ pxxxxxxpx0H@@@@pxp ` p0`` pبppxxxp@@@@H0hP P Pxp @ @  @  @h @p px ` p0H xpp0Pxx@pp0@pH0x 0H0H00H80 ` p0H xpp0Pxx@pp0@pH0x 0H0H00H80PP0HHH00HHH0؈P PP  @@  Pp `T88T< $@@$ < @@   p p @  @P ȈP @ pP@ P PPPPP@@PPPP( @ `` @    you need only "NCC5" more!":9990:232,C3:233,C4WV'" MAIN PROGRAM BEGINS HERE. `'CK,C0:CL$:C3:213,6274,6:213,73274,73:225,7225,26242,43:242,43225,60225,72:263,7263,26246,43:246,43263,60263,72Je'226,7226,26:226,60226,72:akes away":" five gold coins.":C1125,80:9990G'CL$:C5:" Your stack of gold coins grows each":" time you choose the right door.":::" An hourglass shows you that time":" is passing.":::2L'" You have been given 5 coins to start":" with - who gives you":" five gold coins.":C3125,100:9990?'CL$::" The door with the middle fraction":" hides a monster who has no gold":" to give.":C2125,100:99901B'CL$::" The door with the SMALLEST fraction":" hides a bad monster, who tLL,58LL7LL,58LL7LL,28LL:LL:'10:" Use the arrow keys to select a door,":6:"and RETURN to open the door.":15:7:"Each door hides a monster.":9990:232,51:233,1076='CL$::" The door with the LARGEST fraction":" hides a good monster, collect gold when you unlock":" the correct one of three doors.":::" There is a fraction on each of":" the three doors.":9990"8'CL$:5:6:"Choose the LARGEST fraction":6:"to unlock the correct door!":LL13:7LL,28LL248LL,28LL248 ransom to rescue":" the Queen's young son from kidnappers.":::34,C1$'" You must get "NC" gold coins to pay the":" ransom before time runs out.":9990)'CL$::" To get the gold coins you must":" unlock a series of doors."::.'" YouNS BEGIN HERE. C'16C3C6:AFT,C1:"":C3:11:"RANSOM":""'12:" Do you want instructions? ";:SKI,3,QQ$:(QQ$,1,1)"N"10080'(QQ$,1,1)"Y"10012H'BB,1,50,260,160:C9:" You have been assigned the task of":" collecting the neededC9)C4,78:D(C2):"":V LINES 5100-9999 ARE PSEUDO-STAND-ARD MECC ROUTINES. s' SPACE BAR ROUTINE. 'CK,C0::21:C7:"Press SPACE BAR to continue"'(KB)127ĺ:21:C7:" ": '9992' INSTRUCTIO(C0):CO,14,64:"---":CO,16,64:"---":CO,25(D(C0)C9)C4,78:D(C0):CO,87(N(C1)C9)C4,52gN(C1):CO,77,64:"---":CO,79,64:"---":CO,87(D(C1)C9)C4,78:D(C1):CO,154(N(C2)C9)C4,52:N(C2)lCO,143,64:"---":CO,145,64:"---":CO,154(D(C2)thods for ordering unlike":"fractions with the program"::10:"COMPARING FRACTIONS"::"or see your teacher for extra help.":&:"Then try again!":9990:"RUN HELLO"X" PRINT A FRACTION ON THE DOOR. ]bAFT,C1:CO,25(N(C0)C9)C4,52:""NGCC1:YCYCDY:YCIYRNRNC1:YCVTCHC2:XCXCDXBB,XC,YC,XCCW,YCCH:CO,246,178:(" "(GC),C3):Z2C0C3:Z3(SP)::Z300:::"":""CL$::C4:"You have lost all of your gold coins by":"making poor choices."::!"Review the mePPPG@ pxxxxxxpx0H@@@@pxp ` p0`` pبppxxxp@@@@H0hP P Pxp @ @  @  @hp px Pppxxp ppبȨppph𠐈ppp pP ؈P PP  @@  P  PPPPPPPP xp(  @@@h @ @@  p p @  @pȈp ` pp0@0p0Pp8@p @@@ppppx @ @@ @  @   2)D(2)20020'#HN300:600:FLAG10120:#INFLAGC1:10100$RND(C0)DZ((18(C1))):D(C1)DZ((18(C1))):D(C2)DZ((18(C1))):N(C0)((D(C0)(D(C0)CX)C9(D(C0)C9))(C1)C1):N(C1)((D(C1)(D(C1)CX)C9(D(C1)C9))(C1)C1):N(2)((D(2)(D(2)CX)9:FT20020,20050,20080"4ND(C0)(C8(C1)C2):D(C1)(C8(C1)C2):D(C2)(C8(C1)C2):N(C0)(D(C0)(C1)C1):N(C1)(D(C1)(C1)C1):N(C2)(D(C2)(C1)C1) #9NN(C0)D(C0)N(C1)D(1)N(0)D(0)N(2)D(2)N(1)D(1)N(2)D(2)N(C0)D(C0)N(C1)D(C1)N(KS, MADE WORST CHOICE. "!E8QVC0!J8C1GX6,GY110:Z1C0256::C0:C1GX6,GY110:C3:C1150,130:500:Z1C0256::C0:C1150,130:22000:20000! N" FRACTION GENERATION. "*NCK,C0:232,51:233,107:GX85:GY168:CPC1:C3:C4GX,GY:C0:0,0:C3ICE.  (QVC1 (C3GX,GY110:Z1C0256::C0:C3GX,GY110:C3:C3150,145:400:Z1C0256::C0:C3150,145:22000:20000 p0" USER MADE MIDDLE CHOICE. u0QVC0 z0C2GX,GY110:Z1C0512::C0:C2GX,GY110:22000:20000!@8" USER SUC0256::BB,64CP,28,5464CP,117:C0:C4GX,GY:C3:((N(C0)D(C0))(N(CP)D(CP)))((N(C1)D(C1))(N(CP)D(CP)))((N(C2)D(C2))(N(CP)D(CP)))C110400,12400,14400'103002(C3:CK,C0:C4GX,GY<(L4:BYBY(BE)::10100 ( USER MADE BEST CHO1MX(CRTR)C2(NR),CR7'L4C0TK:232,51:233,107k'PK(KB):PK149PK136PK160PK14110300'PK136CPC0ĒC0:C4GX,GY:GXGX64:CPCPC1:C3:10290'PK149CPC2ĒC0:C4GX,GY:GXGX64:CPCPC1:C3:10290'PK141PK160āL1C32,C3:233,C4qy'C1MXC3(CRTR)C2(NR),CR:BE(234):C1MXC1(CRTR)C2(NR),CR:BEBE(234):TR5640000{'C0:XL226(YA26)(YA26):C1X1,YA:C1X2,YA:X1X11:X2X21:C3:X1XLYAYAC1:X1244:X2244~'BEĔC1MXC2(CRTR)C2(NR),CR:C262,7262,25:262,60262,72:400:3:L14171:243,L1245,L1:L2C0C0::g'L22541:226(L226)(L226),L2262(L226)(L226),L2:L2j'YA24:TKTL6:C1GX,GY:242,L1246,L1:NRC0:TR72:BYTR:20000 t'234,C0:NR(NR):TRTRNR:CRTR(NR)BY:20`` pبppxxxp@@@@H0hP P Pxp @ @  @  @hPPPpبȨppph𠐈ppp pP ؈P PP  @@  P@ pxxxxxxpx0H@@@@pxp ` pp p @  @pȈp ` pp0@0p0Pp8@p @@@ppppx @ @@ @  @p px Pppxxp p(cIi`ci 썠cec) JJJJH) hJJc(jmcc$20I`cPjjjjjjj0jjȑ0ȱjcjccЋ`8pP` PPPPPPPP xp(  @@@h @ @@  `8 `@ 4b 4bL1aLa,gb`H8 qȥq8)h` hb8 )` &eeiec8pݗc&a M` bNOH M` b/a0ah`@ @ʩ WRPT`L1a 1a` 1aI``Le80 " bm8h)`em88eLPb`eme` Xc  @ D`I`6 L!bM``H`` d```h`ɀ)?  @)Hgb ȱȱȱ$ a$%  a%h  b `H`H`0aXa``aakawa|aaab bOb]b`b(/a0     (D(2)9))(1)1)$\NN(C0)D(C0)N(C1)D(C1)N(C0)D(C0)N(C2)D(C2)N(C1)D(C1)N(C2)D(C2)N(C0)D(C0)N(C1)D(C1)N(C2)D(C2)20050$fN300:600:FLAG10120$gNFLAGC1:10100O%pND(C0)DZ((18(C1))):D(C1)DZ((18(C1))):D(C2)DZ((18(C1))):N(C01,TL:C4256C2,NC:D$"BSAVE HUNK'O'JUNK,A1024,L12":((MBOT)DB)ĺD$"RUN HELLO"x(THIS PROGRAM HAS BEEN BROUGHT TO YOU BY MICHAEL L BOUCHER FROM THE MINNESOTA EDUCATIONAL COMPUTING CONSORTIUM (MECC). . CK(A$:A$(13)QQ4:103402P(A$(8)10330cU(QQ1ĺA$;:QQQQ1:B$(B$,1,(B$)1):10315nW(10315Z(A$"0"A$"9"QQ410315_(A$;:B$B$A$d(QQ:NC(B$):NC50NC75NC100NC125NC15010310i(10090Qn(C4256,FT:C4256C10 problems)":" 75 coins ( 20 problems)":" 100 coins ( 25 problems)"<(" 125 coins ( 25 problems)":" 150 coins ( 30 problems)"::"Which would you like? ";F(B$"":19:23:" ";:23:QQ14e student":" must complete to finish the game.":2(" Be sure that the student can in fact":" complete this number of problems":" within the time limit you set and":" using the type of fraction you chose."c7(" 50 coins (minimum of $;:QQQQ1:B$(B$,1,(B$)1):10245/(10245M(A$"0"A$"9"QQ310245_(A$;:B$B$A$(QQ:(B$)3(B$)1510240#(TL(B$):100904((CL$:13:"Change Coin Totals"::" The total number of coins affects the number of problems that thtops when time runs out"'" even if the student has not reached":" the goal.":::" About how many minutes (3-15)":" do you want to allow? ";(B$"":15:26:" ";:26:QQ13(A$:A$(13)QQ3:10270 (A$(8)10260$(QQ1ĺA190'CL$:13:"Change Time Limit"::" The time limit is the total time":" allowed for answering all the":" problems. The timer is running only"'" while the student is studying the":" problem and entering a response.":" The game sless than"\'15:"twice the denominators.":15:"Fractions may be greater":15:"than 1."'19:C4:"Which do you choose? ";'A$:A$"1"A$"2"A$"3"10190'A$;'B$:B$(C8)B$(13)10200'B$(13)FT(A$):10090'B$;:10ns less than 1.":} '" 2. Medium Denominators of 2-9 and":15:"10, 12, 14, 15, 16, 18,":15:"20, 30, 40, and 50 with" '15:"numerators less than 10.":15:"Fractions less than 1."::" 3. Hard Denominators as in Medium. ":15:"Numerators ";:CK,C0' t'A$:A$"1"A$"4"101000 ~'A$;S 'B$:B$(C8)B$(13)10120g 'B$(13)10150w 'B$;:10100 '(A$)10160,10230,10280,10000 'CL$:11:"Change Level of Difficulty"::" 1. Easy Denominators of 2-9 only.":15:"Fractio"N"10350c j'CL$:::" You can"::" 1. change level of difficulty":" of fractions" o':" 2. change time limit"::" 3. change coin total":" (number of problems)"::" 4. view current settings"::" Which do you choose? total............"NC" coins":::"Do you want to change anything? ";e $'A$:A$"Y"A$"N"10020 .'A$"N"ĺ"NO";:10050 8'"YES"; B'B$:B$(13)B$(C8)10050 L'B$(13)10085 V'B$B$" "B$B$;:A$"N"10020 `'B$" "B$;:10020 e'A$RD"S 21636:D$"BLOAD HUNK'O'JUNK":FT(C4256):TL(C4256C1):NC(C4256C2)^ 10000 'CL$::14:"Teacher Options":::"Current settings:"::C4:"Level of difficulty..."FT$(FT):F 'C4:"Time limit............about "TL" min."::C4:"Coin  PROGRAM: TEACHER OPTIONS: Copyright MECC, 1983WAUTHOR: MICHAEL BOUCHERmJANUARY 12, 1983C00:C11:C22:C33:C44:C55:C66:C77:C88:C99:CX10:CT20:D$(13)(C4):CK16384:CL$" " (FT$(C1)"EASY":FT$(C2)"MEDIUM":FT$(C3)"HA           27050E-iA$""GX222ĒC0:C4GX,GY:C3:GXGX82:C4GX,GY:27050-iA$""GX58ĒC0:C4GX,GY:C3:GXGX82:C4GX,GY:27050-iA$" "A$" "Ĺ26283,127:50000-i27050-y:"EMERGENCY STOP." .y ENDING ROUTINE / DATA HERE TO THE END OF TH:,iCO,48,33:N(C0):CO,48,55:D(C0):CO,130,33:N(C1):CO,130,55:D(C1):CO,214,33:N(C2):CO,214,55:D(C2):C3:46,4870,48:128,48150,48:212,48234,48,iGX140:GY145:C3:C4140,145:CK,C0:26283,32-iC0:A$:A$""A$" "A$""A$" "8Z1,96Z1186Z1,96Z1186Z1,C8Z1::AFT,C1:""+iZ12919382:C3:Z2257146:Z1,Z2Z1C6,Z2Z1C6,Z2C8Z1,Z2C8:Z1C7,Z2Z1C7,Z2C8,iZ1C1,Z2Z1C3,Z2C2Z1C5,Z2:Z1C1,Z2C8Z1C3,Z2CXZ1C5,Z2C8:Z1C7,Z2C2Z1C9,Z2C4Z1C7,Z2C6:0:*eDXC726002*e::**e:::>*xi"COME FROM 470*i24576:Z1C0C7:C2:22Z1,C8Z194Z1,C8Z194Z1,96Z122Z1,96Z122Z1,C8Z1:C5:104Z1,C8Z1176Z1,C8Z1176Z1,96Z1104Z1,96Z1104Z1,C8Z13+iC6:186Z1,C8Z1258Z1,C8Z12510:Z2:Z1:Z0:m)ZZ0253:Z0:Z1C0C6:64Z1,28Z1118Z1,28Z1118Z1,117Z164Z1,117Z164Z1,28Z1)ZZ2110:Z2:Z1:Z0:)[Z0253:Z0:Z1C0C6:128Z1,28Z1182Z1,28Z1182Z1,117Z1128Z1,117Z1128Z1,28Z1*[Z2110:Z2:Z1:Z154(D(MQ)C9)C4,153:D(MQ):CO,55,144:"<":CO,120,144:"<"M(;VQVİ23000l(@V9990:BB,C0,120,165,165:(Y 'FLASH' CORRECT DOOR(YMQ123100,23200,23300(>gccccg>>~~f` fffffffffl6iɆpqs 0 000000 0 0Z<|~~6    et's look at the problem again.":HT14:VT5:NMRA:DNRB:1200:CO,HT(18),VT(6):"=":HT20:VT7:NP2:800:CO,HT(20),VT(7):PD/%?*CO,HT(20),VT(5):"?":CO,HT(3),VT(9):"What number can be multiplied by":CO,HT(3),VT(10):RB;" to get ";PD;"?":CO00:CO,119,63:"=":HT20:VT9:NP((PD)):800:CO,133,72:PDR#!*(954)1ī10870#&*CO,HT(20),VT(7):SKI,2,A$:A(A$):APNī10810#0*CO,161,59:"RIGHT! Here is":CO,161,68:"another problem.":953,1:10765$:*CL$:2:"No, that's not right.":"L"Find the missing numerator to"::"make these fractions equal."U"*(954)1ī10780i" *RB(4(1))C5"*RA(4(1))C2:RARB10766"*RC(9(1))C1:PNRARC:PDRBRC"*(953)1ī10875"*RXRA:RYRB:NZPN:DZPD=#*VT7:HT14:NMRA:DNRB:12),VT(16)C5:"N":CO,HT(5),VT(16):"and":CO,HT(9),VT(16)C3:"H":CO,HT(9)C2,VT(16)C5:"KV":CO,HT(11),VT(16):"are equal fractions."!)CO,HT(3),VT(18):"Now try finding equal fractions":"yourself.":210!)953,0:954,0@"*CL$:2:@@_A`C_@@_@~A{~Lo7`oXown7@A?@pD_0@G@~@~E7{}w{} A?O]{o}_ow[g_?^ Fox? F>ppA}@x @OJ}w;w>_>_yvA?AX_{@@wF~_>?wv@yFx?@o@`B @}@?@_EyxA?oB}={C^o^k@|Bs DG|A}@x @K}w{z>_>_}v{H?X_s;wF|_>?gv@|F_x?@oA~ B?~ @}@?@_E}xA?oA}]A;?o@g@yB{ @s"@~nGun{~n{{n@w@wA?~Noxp67\_{]qcf? AwgBo@g@?@wAo@Ax?Co@ A?~K>`}Xo{ 8@D?x@{o~_ow[k_?] FoxG? @x@g@O@|CO@@_@~A{~Jo7_;w_gw{m=@~A? @F?|@xA~L0W]v[k6wmo.{~w{} A?Oy>x`ow[m_?[ Fox? Cq?@A}@| @?K|}Ax`}|T?8ok=?o{z^>?Wt?~FOx?@xA| @}K}w[oA_x`}|@?@OE|xA?oE}w{} A?O|>{o7ow[n_?W Fox> A?|@} A?~S?xp~@|_>?7{Fox?@sD}|@qK}w]o>_>_}v{@?@oL~xA?oOoy]_{?o@g@OB{ @}"qHpnpqan`{q@`@w@qAqA`}@O? AwsBo@@@w@n%Aw_Bo@p @qA?x@GK}w^o>_>_=~{@?@gK~xA?o/wu>o{C^o_kA~Bs @}?@w@gB?|@{@_? AwxBoA?~A_J|pn6|Xg]_cn%Aw_Bo@p @gA?@x@w@o@~Co@@_@~A{~J0_}v_kw{m>@~A? @gF?~D~~B?~LPO>zog>{k/{~"qI~{nqan{`xqA~Bo@xA_J8onV;W[]_]n%Aw_Bo@x @A?@|@g@oA?~Co@ @|Lo7_}^mw{ 8pA? ApF?pAxB?CX_~zoF>{k/?{~w{} A?O~>{o7owoW?O Fox< A@@}@~D??|@_@OFox?@gD}| @CF?@C~`Q?@_O~zog>{K/{~Ew;p{} A?P?~>{o7_ow[oO?_ Bo8 A`@}@~Ew;pw{} A? @~@gFox?@OD}xA~K}7`~_>_]~{A?A|p{D@|~?~B1wv@wF?~xc?oIx p|ao?l@xBg @}?@s@OB@{@_Nqwlw`\o<~` Fox? @a@@D}x @xKA\o~_>_m|A?M8o{;?o{~_}~.wv@sF?x?@o@cBO @}?@{@Bo @_"nC~{v{nC{{wn@ Bg@x @sA_JX_nfWO{]_>n%AwOBoA?~@? @o@g@?Co@ @qLo7_}v_nw{m7}D??|c@o}F`|a?lA?~Bg @O"M~n~{z{fn{{ono>Bw@p @gA_JX_nvW_{]_~n%AwoBo@|@? @o@w@?Co@ @GL_;_}vow{m7}D?x @xF??`@A?`Q@?W~v[k>w-w.{~A?@J> x`\o_@` FO0A?~@}@~Egy}w{} A? @_Co@ @M?=_}v_ow{m7}~D?xA?~@AGC_@KX~nx1{~A?@GF_ @@|@~EWz}w{} A? @_O?|k{o;_ow[o_?>_ Fox? @ AA}@x @cJ}w[o~_>_uvA?AX_{@?wF~_>wv@{G?x?o@A~B_ @}@?@@E{`2 ` ʚhih@ (0: Hh @H(hJ)?Pp݄PD & &JJոP`)Bw@p @ON_X_lfW_{_>f%AwoBo@q@? @o@w@?(N1D2)(A$(N1)A$(D2))(C$(N1)C$(D2))((A$C$N1D2)(A$C$N1D2))10470!(:18:C3:"No, follow the arrows.":2300:12:C4:N1;:C8:D2;:12:" ";:12:N1D2:9990:15::CEW:EFC1!(:12:29!(A$:A$"0"A$"9"10480!(A$;") 0 @@. 2: 0 @@. 2:2NZL(37):21:E$"PRESS SPACE BAR TO CONTINUE";VN16368,0:16384,128:16368,0oN1::21:868:ZL:   t' INITIALIZE SCRATCH MAP9~'I0ML1:SAI,0::I' SAVE MAZEw'MA,MI:MA2,(ML256):MA1,ML(ML256)'MA3,MC:MA4,MR'MA8,EX:MA9,EY:MA10,ED(D$"BSAVE MAZE"MN".BIN,A"MA",L"2ML11 (NSTANDARD SPACE BAR ROUTINE.L:P$;:868:"";Z$:Z$""9910*&F$;:0'D' LOAD IN MAZE.d'D$"BLOAD MAZE"MN".BIN,A"MA}$'MI(MA):MLW(MA1).'MC(MA3):MR(MA4)8'BX(MA5):BY(MA6):BD(MA7)B'EX(MA8):EY(MA9):ED(MA10)L'TAMA11:DAMA11MLV'0(P$)21:P$:*% DIRECTIONAL INPUT.4%9800_%DR1:I03:Z$(DR$,I1,1)DRI:I4p%:DR09610v%% YES/NO INPUT%ZL3:9900:Z$(Z$,1):Z$"Y"Z$"N"9710%H& ONE KEY INPUT.R&ZL1:9900& INPUT ROUTINE.&RINGC#M$(T$,T1,1)(DR$,FD1,1)(DR$,BD1,1)(DR$,GD1,1):_T$INPUT CELL COORDINATES^$ZL:P$;:868:"";CX,CY:CX(CX):CY(CY)h$CX0CY0CXMCCYMR9310r$$ NUMERIC INPUT$9900:Z(Z$):% TOP CENTERED DISPLAY&%20:9100 N10:" "M$< P12:"CHANGE: ";T,FD,BD,GDJ RT04450o TTAOO,T:AFD16BD4:GD04440~ VAA128GD XDAOO,A b  ? (# COMPUTE FLAGS. 2#GDT(F):F(F4):BDT(F):F(F4):FDT(F):GFF8:# CONVERT TO ST :: "MAZE ID: "MI,"MAP LENGTH: "ML::"MC,MR: "MC","MR:"BX,BY,BD: "BX","BY18)(DR$,BD1,1):"EX,EY,ED: "EX","EY18)(DR$,ED1,1) D$"PR#0": 0EDIT MAZE CELL :ZL22:P$"CELL (X,Y): ":9300 DOOCXCYMC:T(TAOO):F(DAOO):900:10000: h10200:0 DUMP MAZE TO PRINTERG D$"PR#1":I$"80N"_ Y0MR1:X0MC1 T(TAXYMC):F(DAXYMC)::9010:GF0M$(T$,T1,1)"...":4318 M$(T$,T1,1)(DR$,FD1,1)(DR$,BD1,1)(DR$,GD1,1) M$" "; :(10):DIT","X","EXIT", F L20:20:"L)OAD S)AVE D)UMP E)DIT X)IT: ";S A$:C1t I0NC:A$C$(I)CI:INC1z C03010 CD$(C) C14100,4200,4300,4400,4500 3000   LOAD IN MAZE L22:P$"MAZE NUMBER: ":9400:MNZ512> ~B$(2):D$(13)(4):E$(5):F$(6):I$(9):L$(12)M DR$"WSEN"_ T$(95)"*G"p xDX(3),DY(3) I03:DX(I),DY(I):: -1,0,0,1,1,0,0,-1 C$(10),CD$(10) NC4:I0NC:C$(I),CD$(I): "L","LOAD","S","SAVE","D","DUMP","E","ER Z1000! INITILIZATION.+8192FW(X)(X)(X1)256jPX(X)X18MX:PY(X)X18MYD1(X)X14(X2):D2(X)X24(X1):D3(X)X34(X0)X(X)X7:Y(X)X9T(X)X(X4)4 LMX18:MY0:SA840964256:MASA     TTTTTTT T U*U*U*U*U*TTTT U*U*U*U*U*TTT TT TTTTTTT U*U*U*U*U*TTTT U*U*U*U*U*T0TTTTTT TTTTT U*U*U*U*U*TTTT`T`@TT0TT0TTTTTTT@`TTTTTT          Ғ'L I I I I I I I II I I I I I I I ۀۀۀۀۀۀۀۀۀۀۀۀۀۀۀۀۀۀۀۀ-..---..5555-...555565655.655ހ676656.6.6$$'$$,lIIIJIIIJIIIJI/.6566>6>67>>&,$%$%$'<ӚӚӚӚӚӚӚ:7?6----%=<'/LII*675--=ҒҒ777>76655..5-.'?.%-,%5-.-..65666>66777567>>>6776>67-,-,%-,-6-%---=-.-.-.5--5-.$'<<<<<$'''<<$'<$$$,$%-,5-5555%$<$$%%,?<'''??7?$'%$$ҚҚҚ26555556656655..65-.65.655.55....555 `0 0`0IUUUUU. f q7?67777>>55-.5555.-,,$%%%%$<<<''''?>>>.,,,%%777777777,,,<>>65%%<67$765=$6555&''55-6=<<$...&''4555=<<4-.6'''.....%%%-=%,,,%,<>6777777?>%%%-,%,%-$%<47&$'<$'?<<<'/.55555555<$'?$''?<<7>>630000000~~8~|x~~~~x~000003f<ff<>gccccg>>~~~~|~~qs 0 000000 0 0Z<|~~6f~~~ ~~~~~~0`` pبppxxxp@@@@H0hP P Pxp @ @  @  @hPPP` fffffffffl6iɆppبȨppph𠐈ppp pP ؈P PP  @@  P@ pxxxxxxpx0H@@@@pxp ` pp p @  @pȈp ` pp0@0p0Pp8@p @@@ppppx @ @@ @  @p px Pppxxp p(cIi`ci 썠cec) JJJJH) hJJc(jmcc$20I`cPjjjjjjj0jjȑ0ȱjcjccЋ`8pP` PPPPPPPP xp(  @@@h @ @@  `8 `@ 4b 4bL1aLa,gb`H8 qȥq8)h` hb8 )` &eeiec8pݗc&a M` bNOH M` b/a0ah`@ @ʩ WRPT`L1a 1a` 1aI``Le80 " bm8h)`em88eLPb`eme`$ Xc  @ D`I`6 L!bM``H`` d```h`ɀ)?  @)Hgb ȱȱȱ$ a$%  a%h  b `H`H`0aXa``aakawa|aaab bOb]b`b(/a0           ժՒժժժժժժժժժժժժժتժժĈĈĈĈĈĈĈĈ*U*U*U*U*U*U*UĢĢĢĢĢĢV*U*U*U*U*U*U*UժՒՙřժժժժժ̭̩تժժjĈĈĈĈĈĈĈU*U*U*U*U*U*U*UĢĢĢĢĢĢ*U*U*U*U*U*U*UժժժժժժժժժժժժժժժժժժժժբĐ̙̙̙B̙̙̙Ȉܪ*U*U*U*U*U*U*5ĢĢĢĢ+U*U*U*U*U*U*U*UժəԪժժժժժժժժժժժժ̹ժժĐ̙̙̙x̙̙̙Ȉܪ*U*U*U*U*U*U*âĢĢĢĢIJU*U*U*U*U*U*U*UժժժժժժժժժժժժժժժժժժժժժՒB̙BB̙Bتժժ*U*U*U*U*U*U*UjĢĢĢU*U*U*U*U*U*U*U*Uժժժժժժժժժժժժժժժժժժժժǐ̙B̙Ȉժ*U*U*U*U*U*U*U&ĢĢĢĢ*U*U*U*U*U*U*U*Uժ̙̙̙B̙̙̙۪ժժ*U*U*U*U*U*U*U*}/U*U*U*uS*U*U*U*U*U*U*U*U*U* U*U*U*U*U*U*Uժ̙̙̙B̙̙̙۪ժժ*U*U*U*U*U*U*U* U*U*U*U*U*U*U*U*U*U*U*U*U*U:T*U*U*U*U*U*UժתժժժժժժժժժժժժժƈĈĈĈĈĈĈĈ*U*U*U*U*U*U*US*U*U*U*U*U*U*Uժ̫̭̩ժժժժժř噳՘۪ժժzĈĈĈĈĈĈS*U*U*U*U*U*U*U*U*U*U*U*U*U*UժժժժժժժժժժժժժժժժժժժժՎ̙̙̙B̙̙̙Ĉת*U*U*U*U*U*U*5)U*U*U*U*U*U*U*Uժתժժժժժժժժժժժժ̙ժժ̙̙̙x̙̙̙Ĉժ*U*U*U*U*U*U*U*U*U*U*U*U*U*Uժժժժժժժժժժժժժժժժժժժժժ̙BBBB̙۪ժժ*U*U*U*U*U*U*UjT*U*U*U*U*U*U*U*Uժժժժժժժժժժժժժժժժժժժժժ̙B̙ժ*U*U*U*U*U*U*UI*U*U*U*U*U*U*U*UժՒ̙̙̙B̙̙̙تժժ*U*U*U*U*U*U~O*U*U*U*U*U*U*U*U*U*U*U*]ĢĢĢĢĢĢ*U*U*U*U*U*U*UժՒ̙̙̙B̙̙̙تժժ*U*U*U*U*U*U*U*]ĢĢ&U*U*U*U*U*U*U*U*U*U*U*U*U*U:ĢĢĢĢĢĢĢĢU*U*U*U*U*U*UժəԪժժժժժժժժժժժժ̹ժժĈĈĈĈĈĈĈĈ*U*U*U*U*U*U*U:ĢĢĢĢĢĢS*U*U*U*U*U*U*UժՒՙřժժժժժ̭̩تժժĈĈĈĈĈĈĈĈV*U*U*U*U*U*U*UĢĢĢĢĢĢ*U*U*U*U*U*U*UժժժժժժժժժժժժժժժժժժժժլĐ̙̙̙B̙̙̙Ȉժ*U*U*U*U*U*U*uĢĢĢĢ)U*U*U*U*U*U*U*UժɼԪժժժժժժժժժժժժOgժժĐ̙̙̙B̙̙̙Ȉܪ*U*U*U*U*U*U*ǢĢĢĢĢĚU*U*U*U*U*U*U*UժժժժժժժժժժժժժժժժժժժժժՒB̙BB̙Bتժժ*U*U*U*U*U*U*UjŢĢĢT*U*U*U*U*U*U*U*Uժժժժժժժժժժժժժժժժժժժժժِ̙B̙Ȉ٪ժ*U*U*U*U*U*U*U.ĢĢĢĢL*U*U*U*U*U*U*U*Uժ̙̙̙B̙̙̙۪ժժ*uzS*ujĈ?U*U*U*U*U*U*U*U**U*U*U*U*U*U*Uժ̙̙̙B̙̙̙۪ժժ*U*U*U*U*U*U*U**U*U*U*U*U*U*U*U*U*U*U*U*U*UzU*U*U*U*U*U*Uժ̙תժժժժժժժժժժժժ̙ժժƈ)U*U*U*U*U*U*U*U*U*U*U*U*U*U*Uժ̫̭̩ժժժժժř噳՘۪ժժZĈĈĈĈĈĈ*U*U*U*U*U*U*U*U*U*U*U*U*U*UժժժժժժժժժժժժժժժժժժժժՊ̙̙̙B̙̙̙İժ*U*U*U*U*U*U*U*U*U*U*U*U*U*U*Uժ<Oתժժժժժժժժժժժժժժ̙̙̙B̙̙̙Ĉ٪*U*U*U*U*U*U*U*U*U*U*U*U*U*U@ժժժժժժժժժժժժժժժժժժժժժ̙BBBB̙۪ժժ*U*U*U*U*U*U*U*U*U*U*U*U*U*U*U*Uժժժժժժժժժժժժժժժժժժժժժ̙BBBB̙ܪժ*U*U*U*U*U*U*U U*U*U*U*U*U*U*U*U           "1iïCO,140,60:"hereby awarded":CO,140,72:"land, a castle,":CO,140,84:"and a cow.":CO,128,104:"CONGRATULATIONS!":99901`24576:310004576:31000E,C1,12,20:99900ZúCL$::" The prince"::" is safely"::" returned"::" and you"::" receive"::" a reward.":4:20:AFT,10_ïIMAGE,C2,100,10:"":CO,144,221dú"F":CO,154,24:"or your":CO,140,36:"service to the":CO,140,48:"Queen you areCL$:::"  TIME IS UP":::" You did not collect the "NC" pieces":" of gold in time.":9990:31000/Pú"":CL$::19:"You give the coins"::19:"to the Queen."::19:"She is overjoyed at"::19:"your success!":C3:C4200,1350UïIMAGE PROGRAM ).y STANDARD ENDING ROUTINE3.yCK,0."yCL$:12:"Do you want to try again? ";:SKI,3,ZN$:ZN$(ZN$,1):ZN$"Y"ZN$"N"31010.,yZN$"Y"Ĭ.6yCL$:12:"Getting the menu program...":D$"RUN HELLO".@ NO TIME LEFT. q/JAFT,1:T   L1EF:L1'')"RUN CROSS PRODUCTS.P2" F Fw your answer has been ":"corrected: ":BB,100,140,278,160:18:20:"<"&)N1D1N2D2HT17:VT17:NMN1:DND1:2100:HT23:NMN2:DND2:2100:10740&)HT17:VT17:NMN2:DND2:2100:HT23:NMN1:DND1:2100 ')9990:L1C2LN$(N1):LD$(D1)A%)Z3C0LN$(N1)(N2):LD$(D1)(D2)Q%)Z3C0:1000p%)(SD$)C0(DN$)C010730%)(((SN$)(SD$))(NM$)(DN$))ĺ:29:18:"Right!!":10740%):29:17:"No, that's":29:"not correct.":9990:EFC1j&)C2:"Study ho15:12:MN" is less than "MX:18:C9:"so";:CT:"<"$)HT(15)C1,VT(18)C5HT(18),VT(18)C5:HT(21)C1,VT(18)C5HT(24)C1,VT(18)C5:LN$(N1)(N2):LD$(D1)(D2):VT17:HT17:1000:SN$NM$:SD$DN$:HT23$)Z3C1LN$(N2):LD$(D2)%)Z3)C$(N2))((A$C$N2D1)(A$C$N2D1))10690#):18:C3:"No, follow the arrows.":2300:12:29:D1;:33:N2;:37:" ";D1N2:9990:15::CEW:EFC15$)MX((D1N2)(D2N1))D1N2((D1N2)(D2N1))D2N1:MN((D1N2)MX)D2N1((D2N1)MX)D1N2::B$:B$(C8)B$(13)105007")B$(C8)ĺB$;:10480?")33\"")C$:C$"0"C$"9"10530e",)C$;"6)B$:B$(C8)B$(13)10550"@)B$(C8)ĺB$;:10530"J)37"T)D$((A$)(C$)):D$;:LC1500:L0#)D$(D1N2)(A$(D1)A$(N2))(C$(D1 KC7:Z3(Z3C1)C7C1:Z1(Z1C1)C9:VT(VTC1)C9:Z2VTC1Z1:CO,HT,Z2C1:" ":CO,HT,Z2:D$::HTZ3ıxt Z3HT2440~ Z2HTZ3:CO,Z2C1,Z1:" ":CO,Z2,Z1:D$:: Z2HTZ3C1:CO,Z2C1,Z1:" ":CO,Z2,Z1:D$::, :19:CEW:" You have alHT(HT)C5,VT(VT)C4HT(HT)CX,VT(VT)C4HT(HT)C5,VT(VT)C4HT(HT)C5,VT(VT)C1:q" TIMING LOOP " Z2C0100::` " ANIMATE DIGIT DOWN. D$ IS THE DIGIT TO BE ANIMATED. PASS IN HT,VT AND Z3,Z1 AS THE DESTINATION. "hj HT(HTC1)ARROW IS TO GO LEFT TO RIGHTZ1=C1 IF ARROW IS TO GO FROMRIGHT TO LEFT. "Z C3:Z12230 HT(HT)C5,VT(VTC2)C6HT(HTC2)C6,VT(VT)C4HT(HTC2)C1,VT(VT)C4HT(HTC2)C6,VT(VT)C4HT(HTC2)C6,VT(VT)C2:YHT(HTC2)C6,VT(VTC2)C6Z1Z3,VTZ3Z1Z3,Z2Z3HTZ3,Z2Z3HTZ3,VTZ3::R 4" PRINT A FRACTION. " >C3::HT:VTC1:" "NM:HT:VTC2:DN:HT(HTC1)C5,VT(VTC1)C6HT(HT)C3,VT(VTC1)C6:I  " PRINT ARROW. PASS IN HT,VT OF THELEFTMOST FRACTION. Z1=C0 IF $ `A$:A$(C8)A$(13)1120N jA$(C8)(DN$)C1DN$"":A$;:1070u tA$(C8)DN$(DN$,C1):A$;:1080{ ~  " MAKE-A-BOX. HT,VT ARE UPPER LEFT COORDS AND Z1,Z2 ARE COORDS OF THE LOWER RIGHT CORNER. "4 C3:Z3C0C2:HTZ3,VTZ3:1020 A$(13)10400 $(C8):HT:VTC2b .DN$:Z1C1(LD$):DN$(LD$,Z1,C1)Ă:1070{ 3DN$;:DN$"1"1120 8A$:A$(C8)A$(13)(A$"9"A$"0")1080 BA$(C8)A$(13)DN$DN$A$:A$;:1120 LA$(C8)DN$"":A$;:1070 V(12):HT(ZZ)ZZC7:VT(ZZ)ZZC96 D$(13)(4)H 24576:10750^ "GET A FRACTION" C3:HT(HTC2)C1,VT(VTC1)C5HT(HTC1),VT(VTC1)C5::HT:VT NM$:Z1C1(LN$):NM$(LN$,Z1,C1)Ă:1020 NM$; A$:A$(C8)ĺA$;:NM$""&  Program:CROSS PRODUCTS.P25 (C) MECC, 1983Q Date: January 13, 1983o :LAST UPDATE 83/08/03HBWMAIN PROGRAMMER: MICHAEL BOUCHER $ "MAXFILES1":C00:C11:C22:C33:C44:C55:C66:C77:C88:C99:CX10:CT20:CC100:D$(13)(C4):CL$                 @g"A~np{G~`{{aqsBw@x @NO8oJV[_{]n]v=Fx?@o@`B @}@?@_EyxA?oB}={C^o^k@|Bs @g"A~np{G~`{{aqsBw@x @NO8oJV[_{]n]v=here and return to the lesson.":210:CO,14,171:"Please wait for a few moments...":955,1x**WIND:D$;"RUN COMPARING"Hi:10690!)v*CO,133,54:PN:10765){*210:CO,14,54:CEW:VT7:HT14:NMRA:DNRB:1200:CO,119,63:"=":HT20:VT9:NP((PD)):800:CO,133,72:PD:CO,135,54:SKI,2,A$:A(A$):APNī10885)*954,1:10810Z**16:"VERY GOOD! Let's end the review":18:"O,158,74:"$":CO,133,54:"= ":VT8:HT25:NP2:800:CO,168,63:PD(l*CO,168,45:SKI,2,A$:A(A$):APNįCO,14,99:"RIGHT! Now try another problem.":DV2:400:10755)q*CO,HT(3),VT(12):"No, you still don't quite":"understand. Let's review.":210CO,HT(3),VT(19):CEW:10832?'X*CO,HT(16),VT(19):"RIGHT!"']*DV2:400:CL$:CEW:2:"Now, try the problem again.":VT6:HT13:NMRA:DNRB:1200:CO,108,34:"$":CO,108,74:"&"C(b*CO,119,27:RA;" X ";RC:CO,119,81:RB;" X ";RC:CO,158,34:"&":CT(14),VT(17):RA;" X ";RC;" = ":CO,HT(22),VT(17):SKI,2,A$:A(A$):APNī10840&P*CO,HT(22),VT(17):SKI,2,A$:A(A$):APNī10840'S*CO,HT(3),VT(19):"No, ";RA;" X ";RC;" = ";PN:"Perhaps you should review":"multiplication facts.":DV3:400:,HT(16),VT(10):SKI,2,A$:A(A$):ARCī10825}%D*CO,HT(3),VT(12):"The answer is ";RC;". ";RB;" X ";RC;" = ";PD:10830%I*CO,HT(16),VT(12):"RIGHT!"S&N*400:CO,HT(3),VT(14):"Now multiply the numerator (";RA;")":"by the same number.":CO,H,HT(24),VT(14),HT(25)C1,VT(15)C2:400:CO,HT(24),VT(10):"#":CO,HT(24),VT(14):"#":400:X:2109NCL$:CO,21,0:"The COMMON DENOMINATOR is a common":CO,42,12:"multiple of the denominators."Y:NCO,70,30:"Multiples of 9 are:":CO,63,54:DN6:1200:400:X:CO,14,143:"there is an equal fraction"/NX13:BB,143,51,165,120:400:VT7:HT20:NM4:DN18:1200:VT11:HT20:NM3:DN18:1200:400:X:CO,14,156:"with a denominator of 18."l4NX13:BB,HT(24),VT(10),HT(25)C1,VT(11)C2:BB:CO,133,63:"="%NVT7:HT20:NM4:DN18:1200:12:"and":VT11:HT16:NM1:DN6:1200:CO,133,99:"=":VT11:HT20:NM3:DN18:1200:210:CO,14,130:"For each fraction";*NX13:BB,112,51,125,120:DV.15:400:VT7:HT16:NM2:DN9:1200:VT11:HT16:NM1:*210:CL$:CO,14,6:"Here is another example.":CO,63,20:"One common denominator"::CO,77,36:"for":CO,105,33:"B":CO,105,41:"R" NCO,119,36:"and":CO,147,33:"A":CO,147,41:"O":CO,161,36:"is 18,":8:"because":VT7:HT16:NM2:DN9:120080:"equal fractions":49,10470,8891,104:196,104217,88238,104:X01:91X,13691X,160X105,160X:X:CO,119,152:"common":CO,105,161:"denominator"*X01:182,160X238X,160X238X,136:X:CO,161,80:"equal fractions":49,10470,8891,10447,120:CO,63,118:"=":CO,84,126:"20":CO,212,118:"=":CO,231,126:"20":210*CO,21,40:"can be the denominator of fractions":CO,41,52:"EQUAL to the given fraction.":CO,84,108:"15":CO,231,108:"12":210*CO,14,80:"equal fractions":CO,161,8:NM8:1200:HT22:NM13:1200:210*CL$:CO,42,4:"To find a COMMON DENOMINATOR":CO,77,16:"for two fractions,":VT13:HT5:NM3:DN4:1200:VT13:HT25:NM6:DN10:1200:210O*CO,21,28:"means to find ONE denominator that":82,12098,120:229,1202ME DENOMINATOR":CO,63,36:"LIKE DENOMINATORS":CO,56,54:"A COMMON DENOMINATOR":CO,14,90:"All of these terms refer to fractions":CO,14,108:"whose denominators are the same."#*CO,91,144:", , ,":VT16:HT10:NM3:DN7:1200:HT14:NM1:1200:HT113:BB,HT(4),VT(12),HT(5)C2,VT(13)C2:BB,HT(10),VT(12),HT(11)C2,VT(13)C2:DV.2:400:CO,HT(4),VT(12):"#":CO,HT(10),VT(12):"#":400:X:210*CL$:3:X02:14X,9X238X,9X238X,72X14X,72X14X,9X:X*CO,56,18:"THE SA,HT(3),VT(11)C3:"C":CO,HT(3),VT(11)C5:"Q":CO,HT(5),VT(11):"and":CO,HT(9),VT(11)C3:"E":CO,HT(9),VT(11)C5:"Q":CO,HT(11),VT(11):"have a common denominator." *DV1:400:CO,HT(3),VT(14):"The common denominator is 8."*XT(VTC2)C6:(DN$)1(NM$)2HTHTC1? VTC2:HT:DN" ": *CL$:3:X02:14X,9X238X,9X238X,72X14X,72X14X,9X:X *3:3:"Two (or more) fractions with":5:3:"the same denominator have a":7:8:"COMMON DENOMINATOR.":210 *COKI,LD,DI$:DI(DI$):DI0(DI)DI$1060B yQINIDI:CS$NI$DN$H ~N  NM$(NM):DN$(DN):LD(DN$):LN(NM$):(DN$)2(NM$)1ĖHTC1:1220 (DN$)1(NM$)2LDLN HT' VT:NM:C3:HT(HTC2)C2,VT(VTC2)C6HT(HTC2LD)C1,V1:HT(HT),VT(VT1)C3(HT(HT))(NP3)1,VT(VT1)C3:C0:CO,C0,VT(VT1):U  C3:HT(HT1)C4,VT(VTC1)C3HT(HTC2)12,VT(VTC1)C3 LN1LD2THHT1:1020 THHT TH:VT:SKI,LN,NI$:NI(NI$):(NI)NI$1020) $HT:VT2:S2HT(ZZ)(ZZC1)C7:VT(ZZ)(ZZC1)C9D WIND,HT(3),0,279,191X (956)120227c 10950i o 21:5:"Press SPACE BAR to continue";:16368,1:16384,128:BB,0,180,279,191:16368,0:  Z1C0CXCCDV:: O *C3:NPNP1 : COMPARING.P3+ : (C) 1982, MECC@ : BY: HBILL WAY[ : UPDATE 83/07/12 HBWo" MAXFILES 1"z33972C00:C11:C22:C33:C44:C55:C66:C77:C88:C99:CX10:CT20:CC100:CL$(12):D$(13)(4):CN$(14):CO$(15)FA0:FB0)          """ " " " " """""""""      @@@@@@@ @@@@@A@@@@@@`@@@ @@@0@@@@@@ A@@ @@@C@@`B`@0B0>@B`@@|@3@@@@@@@ @ @@@@@@@@@@@A@A@@@@`@@@ @@@ @`@0@ @@0@@@@@@@ @@@@@@@@@@@ @@@@@@@@@@A@@@@@@@A@@@@@@@@@@@@@@@@@@@@@`@@ @@ @@ @@0@@@@@@@@@@ @@@@@@@@@@@@@@A@A@@@@@@@@@@`@`@ @ @0@0@@@@4@@@@$@@@0@&C@`@cE@@A@Bp@@B@@Cp@@@@@@A@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ @@@@ @B@Dp@@~D~@@@ B@@`B@@@@@G~` Bp?~.@A@w@Ax@A0@A`@@@ @`@@@0@@@@@ @@@@0@ @`@@@@@@@@B AB AB AB AB AB AB AB AB AB`Ax@@@@ @@~@@@FFF F@I@C`BB~@ A@Bs@s@ A9L@|` @aL@xeA @aFK@E `pFEK@E x0GD@|C=0f@@x@9@0A|C#`D`@|C'`pD8@~D@@D `A@@D @D0@xC~?`A`@C 0@@B A@a@@B @Ca@H @?@A`D`@H@?0|@ @B<@@B`c@@B @H|0|@Hxp@E@@C@A@@ BA`@ BA @ Bp@ CpB <@ C8@ @ @@D@@@@@@@@@@@@@`@@@@@ @@@@@0@@@@D@ @@@Dx@@@@@@ @@@@DFA1@A@DBA!@@D @@D`p@H@@A@H`a@H  h `@p@AAAx Ax@ @@ @@ @@ @C 0`@C`9@~D@@C0@@BCp@`C`~@fCp@0L@p@ $`C@@Ep$x@@@DvX%n@@@DLCq3@@@D~`@@@D0 @@@D`@!! ! ! ! ! !!!!(XC6),VT(16)C3:210&NCL$:CO,35,18:"Since":CO,77,15:"C":CO,77,23:"N":CO,91,18:"is another name for":CO,231,15:"I":CO,229,23:"JN" 'NCO,35,45:"and":CO,63,42:"B":CO,63,50:"L":CO,77,45:"is another name for":CO,215,42:"AU":6):HTX:VT13:NM10:DN15:1200:DV.15:400:X:VT16:HT21:1200:BB,HT(X)C2,VT(13),HT(X2),VT(16)C3&NX27152:BB,HT(XC4)C2,VT(13),HT(X6),VT(16)C3:VT13:HTX:NM9:DN15:1200:DV.2:400:X:HT15:VT16:1200:BB,HT(XC4)C2,VT(13),HTons":CO,49,45:"having COMMON DENOMINATORS."$NVT10:HT9:NM2:DN3:1200:11:11:"=":HT13:NM10:DN15:1200:HT23:NM3:DN5:1200:11:25:"=":HT27:NM9:DN15:1200:CO,HT(21)C4,VT(17):"<"j%N210:X13212:BB,HT(X)C2,VT(13),HT(X2),VT(1:HT13:NMNO:DNDO:1200#NCO,108,90:"$":CO,108,126:"&":CO,119,81:NM;" X ";NDO:CO,119,135:DN;" X ";NDO:CO,160,90:"&":CO,160,126:"$":HT23:NMNO(NDO):DNN:1200#N210:(956)1ANM:20130-$NCL$:CO,56,27:"Now compare the fractiHT(30),VT(17):"RIGHT!":DV2:400:20175"NNONM:DODN:CL$:2:"No, the correct answer is":VT4:HT16:1200:5:18:"=":HT20:DNN:NMNO(NDO):1200#NX13:BB,HT(24)C2,VT(4),HT(25)C2,VT(5):DV.2:400:CO,HT(24),VT(4):"'":400:X:VT12NCO,HT(3),VT(16):CEW:VT16:HT4:NM2:DN3:1200:CO,HT(8),VT(17):"=":HT8:NMA:DNN:1200:HT21:NM3:DN5:1200:17:23:"=":CO,HT(27),VT(18):"15":HT27:VT18:NP2:800:956,0!NCO,HT(27),VT(16):SKI,1,A$:A(A$):ANM(N5)20165*"NCO,ual to the given fraction.":(956)120150 NVT16:HT4:NM2:DN3:1200:CO,HT(8),VT(17):"=":CO,HT(10),VT(18):N:HT10:VT18:NP2:800:CO,HT(10),VT(16):SKI,2,A$:A(A$):ANM(N3)Ĺ956,1:20165 NCO,HT(15),VT(17):"RIGHT!":DV2:400!5NCL$:2:"Now we'll use common denominators":4:6:"to order the fractions":VT6:HT15:NM2:DN3:1200:CO,HT(20),VT(7):"AND":HT23:NM3:DN5:1200+ N10:1:"Write the fraction that has the"::"common denominator you just found"::"and is eqfor"::"these two fractions,":VT6:HT15:NM2:DN3:1200:CO,HT(20),VT(7):"AND":HT23:NM3:DN5:1200N11:"A common denominator is ":CO,HT(27),VT(11):SKI,3,A$:A(A$):NA:A1520130NCO,HT(13),VT(14):"No, let's review.":DV2:400:10987),VT(13):SKI,3,A$:A(A$):A2420115@NFBFB1:FB120115NCO,HT(3),VT(17):CEW:"No, use the method you just learned"::"and multiply 4 by 6 to get the"::"common denominator of 24.":DV4:400:20095iNCL$:2:"Find a common denominator 400:19:"A common denominator is 15.":210zNCL$:2:"Try this method of multiplying"::"denominators to find a common"::"denominator for:":VT8:HT15:NM3:DN4:1200:9:18:"AND":HT23:NM5:DN6:1200(N13:"A common denominator is ":CO,HT(2HT(25),VT(16):"= 15":4006\NDN3:HB18:HF19:FA0caNX1216:CO,HT(HB),VT(X):DN:X14ĂXfNCO,HT(HB),VT(XC1):" ":Y1150:Y:XkNCO,HT(HF),VT(16):DN:CO,HT(HB),VT(16):" ":FAFA1:FA120085pNDN5:HB24:HF23:20065,uN400:5:"is to multiply the two denominators":CO,105,63:"together."WN11:"FOR EXAMPLE:":VT10:HT16:NM2:DN3:1200:CO,HT(20),VT(11):"AND":HT22:NM4:DN5:1200:210YNCO,HT(3),VT(15):"Multiply the":"denominators.":CO,HT(21),VT(16):"X":CO,N36:M54:20045,INA36N18:M54:20045:JNN18:M36MNCO,35,159:CEW:"Yes, "A;" is a common multiple.":CO,21,168:N;" and ";M;" are also common multiples.":210@RNCL$:CO,72,9:"Another way to find a":CO,77,27:"COMMON DENOMINATOR":CO,21,44:"Name one COMMON MULTIPLE":CO,77,146:"of both 9 and 6."i@NCO,196,146:SKI,3,A$:A(A$):A020032BNA18(A18)20040CNCO,28,159:CEW:"No, ";A;" is not a common multiple.":CO,28,168:"18 and 36 are common multiples.":210:20050HNA18"9, 18, 27, 36, 45, 54":3:X02:54X,46X224X,46X224X,70X54X,70X54X,46X:X;NCO,70,84:"Multiples of 6 are:":CO,21,108:"6, 12, 18, 24, 30, 36, 42, 48, 54":X02:14X,101X259X,101X259X,124X14X,124X14X,101X:X<>NCO,49,13