' +JJJJ ?\>m0M='+l> /+l   d']6@5L&]655]6LF%5 & "L}"BB5L&]6 X  `6  H8`?E V9L>HH/Hh/ H?-З( 8(& 8$8 H` *8HNx`* >x$50x*$50xL9JJJJ`HHjf5 >h $50x`HA>VD;;P >(ED Z> ?$0x8x D9- 8DD#HIHHHHhHH݌hHhHh݌H6 (G FG HZXj 80x D9$xxH` >( Z>h Z>L=.xxH >hE(!8b $!H(+ "@H !D)"E` @ $ C ` DQ &J80^݌Hh < <݌ < < h < < < <`HJ>݌h Hh݌`葠葠ȔЖȔЖȠ8  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%$(2()!)FG8`0($ p,&"ųųೳŪŪųųij  !"#$%&'()*+,-./0123456789:;<=>?&Y:&<&Y:&;: 꽌ɪ\8`&&꽌ɪɖ'*&%&,E'зЮ꽌ɪФ`+*xS&x'8*3Ixix&& 8 9: :' 9: :& :x)*++`>J><;VU<)?<`8'x0|<&HhHh 8 8 8 8V&` aI꽌ɪVɭ穎7777777 7777JJJJx 77L? L7877777777 776i 7 7867 7`77 777777`x =(`(8`5775I7`B` 76`77`n* &8ɍ` ^&f\*555L& ^&NR* & "R*ΩL&)\*Z* ʽ LH*v 3h`0h8` " ['L & N'С55 &5`*A*@` +5L^6L65`  \* ?*0 '\* '  Q( ^&\*lZl3L e3L &%R*L &%Q*L d' "L4% N'e*)n*5 5 &`@-e*f*f* 5 "L# "5f*`L %.* *t*Q*L$ %L&*L` "O**P**u** d' "L% N'e*)n*o*o*55L6 &L"L& # "#-55*( $ z$egehtpjigh q$ Q(l` $ z$8L`*Ma*EK@>ˆʎ55L $ 5 55555 &a*5`*5` "L&5_*b*JL%u**Lz%`** $  Q(lXJ̥KlV $  Q(lV eօ*@ N'5L& ' ' ' ' "L#` -e* L  #s*r* #m*l* #s*r*L# "-5L& # z$e*)r*s* z$r*s*Lq$ ]# Q(lr** L& #8gh #hgL# #8LʨM #ˤL#5H "hL'55555 &55L&&E`( !80 0 !DDL"DLDL^* t*^*`,t*P pMt*-^*^*`*DH #hW*L' " d'@` "L" 5 5 c* "L" " &Lq6L#c*l* m*l*l*5m*5 "EL&AD@ C' N' 'c*5L&u*ɠ% d': "L" 'c*vc*]*ܢ @)J)0G e*e*ʎd* !d* E DU)EX) ЃDW)c*ДJEg*Df*L H e*e*h) t*t* !L [' !_*HH`]*ɍ]*ɬ` !ɠ`5`DE !ɤ<(L! !DE`80!  !eDeE ! !eDDeEE8`DͲ*Lɍ ['LL&_*_* ^& 9 )L&3 9 )a  ! 0L jLY ! u*< !(_*9 ) ˭*ɠu*ɠK_*9 )?L 5555`53 /3m3 3 3733i35 3583 /35ЉLw35`H /5h 25L/~43 533`/B58` 41L 15ȱB5 /5555 /5`3 D23ȑB55B5 / 7 55`5555555555 5555`555`55BC55`5555`L3 /5B5C355 0Q340"B4Ќ7*75LR0 E0(33 48`433 R0` E033LR0*7*7`777 555I7575757577** 7757`7 L35555f /55555555 ^/`855 i 7 J7L35B5C`,5p` / R0-55`50` K/ R0-55`575755` 4/ K/ /( 55L/BȱBL/58` D2BH5BH :/ 75Bȭ5Bhh55 R0B5m55ȱB5m55` /LR0557755`*4D4E B. 4  /. 02L3 Ν3 3`HD٤33DEEhiHLG.h ` /5B5-` /5B-` + X05I33383 33DH /4 E03744Ȍ7 X040 34) 34 70L3 3L3 (+ 055L- (+34L{33454445 70 ^/* / 3B0 HȱBh -355 -8 /L38 25` +5 /3 /. /. 3 E7D B. /. /. 0]34S0J4 4) 3 5` / 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 (+_*3 j.5 *H*H`Lc3 (+L3 +55555 1^3_* )3J Q*L_3Ls3443 D23455545554 70 / 7 :/354545455454555535L^/5-5I5555 5AVAILABLFILE TYPE MISMATCPROGRAM TOO LARGNOT DIRECT COMMANč$3>L[dmx- (   Ϡ734@~3!+,W,o,*--,,9,-.-~3~3,,,,~3~3,,,,~3UVERIF!pppp p p p p`" t""#x"p0p@p@@@p@!y q q p@  LANGUAGE NOT AVAILABLRANGE ERROWRITE PROTECTEEND OF DATFILE NOT FOUNVOLUME MISMATCI/O ERRODISK FULFILE LOCKESYNTAX ERRONO BUFFERS these names another"::"diagonal? "::10)CN$"CD JI HC":X90:Y141:L2:9900:CO$:Z895&fCL0:9100:CO,120,20:"You're remembering"::CO,120:"your geometric ideas"::CO,120:"well!"D'k::CO,120:CN$Y$CO$" is a diagonal."::CO,120:"I9000:600BOX,W,20,279,55:CO:"Try again. Remember, a dodecagon"::"has 12 sides and 12 vertices.":CL0:9000:BOX,0,20,279,55:CO:Z$:9800Y$"B"5203&BOX,W,20,279,55::CO,W,30:"Oops! You must have miscounted."::"B shows a dodecagon.":Z3:Z103:228,H(127):9530:Z21200:Z2:Z1=09000XCL$:Z$LE$:Z0:9540:9530:Z1:9550::VSP,0:CO,125,17:"The vertices of":CO,125:"a geometric figure":CO,125:"are usually named":CO,125:"with letters."tbBL117:BR275:BU12:BD60:9200:11:"In this dodecagon, the"CC$::"vertices are named using"CC$::"the letters A - L."CC$:CL0:9000:9100l:CO,120,20:"The vertex letters":CO,120,40:"help name the sides."9vCO,30,115:"Which of these names a side of"::CO,30:"this dodecagon?":AFT,2::CO,50:CN$"AE CD EG GK"fX153:Y135:L2:M$"L":9900:CO$:Z6509100:CO,120,20:"Oops! "CN$Y$CO$" is not a"::CO,120:"side.":CO,30,120:"Let's quickly review how to"::CO,30:"name a side of a geometric"::CO,30:"figure.":9000:7009100:CO,120,20:"Good! "CN$Y$CO$" is a side."::CO,120:"It could also be"::CO,120:"called side "CN$(Z2)(Z1)CO$"."CO,W,120:"Which of these names another"::"side? "::CO,50:CN$"BF DJ HG KA"X60:Y140:9900:CO$:Z6459100:CO,120,20:"Good. "CN$Y$CO$" is a side."::CO,120:"It could also be"::CO,120:"named "CN$(Z2)(Z1)CO$".";CO,90,120:AFT,3,0:"A side joins 2 vertices"::CO,90:"that are next to each"::CO,90:"other.":AFT,3,6:BL83:BU115:BR279:BD170:9200:CL1:9000:8009100:CO,125,20:"A side of a":CO,125,36:"geometric figure":CO,125,52:"is named using 2":CO,125,68:"vertices that are":CO,125,85:"next to each other."HBL120:BU12:BR274:BD105:9200:9000:9100:CO,120,50:"This is side"::CO,150:CN$"AB"CO$"."::CO,120:"It could also"::CO,120:"be called "CN$"BA"CO$".":H255:Z0:Z17:Z28:9560:9000:9100J CO,120,50:"This is side"::CO,150:CN$"GH"CO$".":::CO,120:"It could also"::CO,120:"be called "CN$"HG"CO$".":Z0:Z11:Z22:9560:9000:9100!:CO,20,120:"Now you name another side."CN$:X230:Y119:L2:9900:9100:Z1ĺ:CO,120,50:AFT,3:"That's correct.":AFT,2::CO,150:Y$::CO,120:CO$" names a side.":9000:800!TR780a!TR1:CO,120,20:CN$Y$CO$" isn't a side."::CO,130:"Try again.":::CO,120!"Remember... A side"::CO,120:"joins 2 vertices":AFT,3::CO,120:"that are "CN$"next to"::CO,120:"each other."CO$:AFT,2:9000:9100:740" TR0:9100:CO,120,20:CN$Y$CO$" isn't a side."::CO,120:"Another side could"::CO,120:"be "CN$"BC"CO$" or "CN$"JK"CO$" or "CN$"LK"CO$".":Z0:Z16:Z27:9560:Z110:Z211:9560:Z19:Z210:9560:9000(# CL$"Now think of the"CC$::"problem again."CC$::CO,30,78:"What is the total number of":#*CO,30:"diagonals in a dodecagon?":BL20:BR260:BU70:BD115:9200:CO,35,140:"Do you know what a diagonal"::CO,35:"is? ";:36000:Z$"N"9006$4W5:WIND,W,10,279:CL$:Z$LE$:Z0:9540:9540:9530:Z1:9550:CO,W,120:AFT,2:"Which of these names a diagonal"$>:"of this dodecagon? "CN$::10)"AB AE HG":H255:Z0:Z14:Z28:9560:Z17:Z28:9560:Z11:Z22:9560g%HM$"L":X150:Y140:Z2:9900:CO$:Z1İ9100:CO,120,20:"No, "CN$Y$CO$" isn't"::CO,120:"a diagonal.":CO,W,120:"Let's quickly review the"CC$::"idea of a diagonal."CC$:9000:900%R9100:CO,120,20:"Good! "CN$Y$CO$" is a"::CO,120:"diagonal. It could"::CO,120:"also be named "CN$(Z2)(Z1)CO$"."b&\CO,W,120:"Which of f a dodecagon?":Z$:X115:Y31:Z25:9540:9530:Z7:2:"A";:7:17:"B":12:2:"C";:12:17:"D":M$"D":9800:Y$"B"530 CL$:CO:"That's correct. A dodecagon"::"has 12 sides and 12 vertices."::"This is a dodecagon.":Z6:9540:9530:,SX(Z,I)2,SY(Z,I)4:"]":I:[6N%I0SX(Z,12)1:CO,SX(Z,I)9,SY(Z,I)2:(Z$,I1,1)::6X%I051:228,H(H):SX(0,Z1)1,SY(0,Z1)SX(0,Z2)1,SY(0,Z2):I:6%P0N1:SIDE0P:X(P),Y(P)X(SIDE),Y(SIDE):SIDE:P:_7%CO,X,Y:INP,(((MAX)),N),Y$:CO,120:"2 vertices that are"::CO,120:"not next to each"::CO,120:"other.":CO,20,160:"Which one is correct? ":X189:Y160:MAX2:9700(v9100:CO,0,0:CEL:WIND,W,W:OP1895T)zCO,120,30:"Good work!":::CO,120:"A diagonal joins"::CO,120:"2 vertices that"::CO,120:"are not next to"::CO,120:"each other.":9000:898)AFT,3,0:VSP,4:WIND,115,0,279,191:9100:HSP,1:CO,115,8:"Not quite. It's easy to":"get confused, isn't it?"::AFT,3*CO,115,48:"A "CN$"SIDE"CO$" joins 2 vertices":"that are next to each":"other.":BL108:BR278:BU40:BD92:9200:HSP:VSP:WIND,W,W:CO,90,104:AFT,2:CN$"AE"CO$" and "CN$"CH"CO$" are diagonals."::HSP,1E+AFT,3:HSP,1:CO,20,130:"A "CN$"Diagonal"CO$" joins 2 vertices that"::CO,20:"are not next to each other.":BU125:BD160:BL13:BR250:9200:HSP:9000+AFT,3,6:CL$:CO:"Now you are ready to"::"try to solve the problem."7,:"Here is the problem statement:":CO,12,105:"What is the total number of":CO,12,115:"diagonals in a dodecagon?":BL5:BR243:BU96:BD132:9200:9000:1000,CL$:Z$LE$:Z0:9540:9530:Z1:9550:CO,125,20:"In a geometric":CO,125,36:"figure, a diagonal"$-CO,125,52:"joins 2 vertices,":CO,125,68:"but it is not a":CO,125,85:"side of the figure.":BL117:BR279:BU12:BD106:9200-CL0:AFT,2:::CN$"AD"CO$" is a diagonal of this"::"dodecagon. It could also be"::"named "CN$"DA"CO$".":Z0:H127:Z18:Z25:9560:9000:9100~.::CO,120:CN$"DG"CO$" and "CN$"FJ"CO$" are"::CO,120:"diagonals too.":CO,W,120:"They could also be named"::CN$"GD"CO$" or "CN$"JF"CO$".":Z0:Z15:Z22:9560:Z13:Z211:9560:9000"/9100:Y120:CO,20,Y:"Name a different diagonal."CN$:X233:9900:CO$:9100:Z0įCO,120,20:"That's correct."::CO,120:CN$Y$CO$" is a diagonal.":9000:898_/F(TR0Y$"AD"Y$"DG"Y$"FJ"Y$"DA"Y$"GD"Y$"JF")0FTR1:CO,120,20:"Not quite. Try"::CO,120:"again.":CO,20,120:"Name a diagonal different"::"from "CN$"AD"CO$", "CN$"DG"CO$" or "CN$"FJ"CO$".":9000:9400TR0:CO,120,20:"Oops!":::CO,120:CN$"DJ"CO$" or "CN$"HL"CO$" are"::CO,120:"examples of other"::CO,120:"diagonals.":CO,20,120:"They each join 2 vertices that"::"are not next to each other." 1Z0:Z15:Z211:9560:Z11:Z29:9560:9000:898:1CL$:Z0:Z$LE$:9540:9530:Z1:9550:96001CO,120,20:VSP:"Here is a dodecagon"::CO,120:"with all of its"::CO,120:"diagonals.":CO,W,120:"The problem asks you to find"::"out how many diagonals there"::"are in all.":CL1290002W10:WIND,W,W:VSP,1:"There are several strategies you"::"might use to solve the problem.":::"Three methods to try are:"CC$@3AFT,1:WIND:CO,52,110:CN$"Trial and error":CO,12,130:"Making an exhaustive list":CO,20,150:"Simplifying the problem"CO$:WIND,W,W:BU103:BD170:BL0:BR276:9200:9000K3OP2:w3CL$:CO,0,90:"One moment please...":3(#CA$:SPACE:3<#CLĺCL$3F#3#BOX,110,10,279,115:BOX,00,115,279,180::3#T4#Z0:Z13:2:ZZZ101:BLZZ,BUZBRZZ,BUZ:BRZ,BUZZBRZ,BDZZ:BRZZ,BDZBLZZ,BDZ:BLZ,BDZZBLZ,BUZZ:ZZ1:ZZ4$ZZZ11:BLZZ,BUZZ:BRZZ,BUZZ:BLZZ,BDZZ:BRZZ,BDZZ:3:4%5&%X(0)X:Y(0)Y:RAD3.14159262N:SIDE1N:XR(X((RADSIDE))L):YR(Y((RADSIDE))L):X(SIDE)X:Y(SIDE)Y:SIDEJ50%X(0),Y(0):SIDE1N:X(SIDE),Y(SIDE):SIDE:5:%SX(Z,0),SY(Z,0):X(0)SX(Z,0):Y(0)SY(Z,0):NSX(Z,12):SIDE1N1:SX(Z,SIDE),SY(Z,SIDE):X(SIDE)SX(Z,SIDE):Y(SIDE)SY(Z,SIDE):SIDE:SX(Z,0),SY(Z,0):6D%I0SX(Z,12)1:COt could also be"::CO,120:"called "CN$(Z2)(Z1)CO$".":9000:9100'pWIND:CO,0,0:"Here are two descriptions:":CO,120,20:"1. A diagonal joins"::CO,120:"2 vertices that are"::CO,120:"next to each other."(uCO,120,80:"2. A diagonal joins":TR0:CO,130,60:"Count the number"::CO,130:"of diagonals as"::CO,130:"they are drawn.":CL0:9000:CL1:Z2:Z10:Z22:9560:Z23:9560:Z11:9560:Z24:9560:Z12:9560":CO,130,120:"A pentagon has"::CO,130:" diagonals.":X132:Y142:125L,LE$,0),Y$:Y$"A"Y$MM$įCO,20,182:CEW:CO$"Enter a letter from A to "M$".";CN$:99008&Z1((Y$,1)):Z2((Y$,1)):Z1Z2įCO,20,182:CEW:CO$"Please try again, "CN$Y$CO$" is a point."CN$:99009&Y$(Z1)(Z2):Z(Z1Z21Z1Z21)(Y$"AL"Y$"LA")9&CO,20,182:CEL:f9yHSP:VSP:CL$CO$:CO,0,90:"Do you want to try again? ";:36000:Z$"Y"Ĭ9,yZ$"N"İ5000:RNH,"MENU"9DB:GCP,ZX,ZY:CO,ZX,ZY:CEL:INP,(3,"YESNO"),Z$:Z$(Z$,1):Z$"Y"Z$"N"įCO,20,182:"Type in yes or no":36020:CO,0,182:CEL: PPPPPPPP pp(p  @@@h @ @ @ p pD@@h @ @ @ p p p0#BOX,145,10,279,180.#9040:CO$:CO:5# #6:Z0:ZB3:ZZZB01:BLZZ,BUZBRZZ,BUZ:BRZ,BUZZBRZ,BDZZ:BRZZ,BDZBLZZ,BDZ:BLZ,BDZZBLZ,BUZZ:ZZ1:ZZ$ZZZB1:BLZZ,BUZZ:BRZZ,BUZZ:BLZZ,BDZZ:BRZZ,BDZZ:3:T$ ^$AFT,3,0:9110::CO:"Enter the remaining diagonals from A. Use A and another letter to name each diagonal."::"When you think they are all named, press an extra "CN$"RETURN"CO$".":AFT,3,6:$ 0$AFT,3,0:9110:CO::"Enter the remaining diagonals one at a time. Be organized! Work";$" from B, then C, etc."::"When you think they are "CN$"ALL"CO$" drawn, press an extra "CN$"RETURN"CO$".":AFT,3,6:% 8:%SX(Z,0),SY(Z,0):X(0)SX(Z,0):Y(0)SY(Z,0):NSX(Z,12):S1N1:SX(Z,S),SY(Z,S):X(S)SX(Z,S):Y(S)SY(Z,S):S:SX(Z,0),SY(Z,0):nD%I0SX(Z,12)1:CO,SX(Z,I)2,SY(Z,I)4:"]":I:N%I0SX(Z,12)1:CO,SX(Z,I)9,SY(Z,I)2:(Z$,I1,1)::X%I011:228,H(H):SX(0,Z1),SY(0,Z1)SX(0,Z2),SY(0,Z2):I:Bb%WIND:AFT,3:H127:Z1DO(((Z$,1))):Z2DO(((Z$,1))):Z2Z1Z5Z1:Z1Z2:Z2Z5l%AFT,3,0:9560:MA%(Z1,Z2)0:CO,10,160:NDND1:CO$"Number of":CO,10,168:"diagonals: "CN$;ND;CO$:WIND,WL,WU,WR,WD:AFT,3,6v%ERER0:FL19400,9300%% %ZZ0:P0:S210:ZZZZ1:ZZZY9640X%X(P),Y(P)X(S),Y(S):S:P19:SP211:ZZZZ1:ZZZY9640w%X(P),Y(P)X(S),Y(S):S:P}%% %Z1500::%CO,10,182:CEL:H& R&Z$(0)".":Z$(1)" from A.":AFT,2:WIND:L2:CO,145,150:"Diagonal:"CN$:X215:Y150:9900:Z0ıW&(FL1(Z165Z265))Z1İ9120:CO,145,25:ER1:CO$"Oops! Your":"finger must have":"slipped. "CN$Y$CO$:"can't be a":"diagonal"Z$(FL):"Try again.":9810\&Z3DO(Z1):Z4DO(Z2):Z4Z3Z5Z4:Z4Z3:Z3Z5f&MA%(Z3,Z4)Z$Y$:9570:9810p&ER1:9100:CO,145,25:CN$Y$CO$" is a diagonal, but it has already been drawn. Be careful! Do not list a diagonal twice. Keep listing!":9810& &CN$:CO,X,Y:L):CO,X,Y:INP,(L,LE$,0),Y$:CO$:(Y$)0Z1:9920W&Z(Y$):Z65Z65MMįCO,20,182:CO$"Enter a letter from A to "(64MM)" please."CN$:9910&Z1((Y$,1)):Z2((Y$,1)):Y$(Z1)(Z2):Z(Z1Z21Z1Z21)(Y$"AL"Y$"LA"Z1Z2)&CO,20,182:CEL:y 6 "yWIND:HSP:VSP:CL$CO$:CO,0,90:"Do you want to try again? ";:36000:Z$"Y"įRNH,"DIAGONALS-B"T ,yZ$"N"İ5000:RNH,"MENU"\ o DB:GCP,ZX,ZY CO,ZX,ZY:CEL:INP,(3,"YESNO"),Z$:Z$(Z$,1):Z$"Y"Z$"N"įCO,20,182:"Type in yes or no please.":36020 CO,0,182:CEL:Ae num"are the only"::CO,135:"diagonals.":AFT,3,0:CO,0,160:"A "CN$"QUADRILATERAL"CO$" has 2 diagonals.":9000CL$;:"Let's add this to the chart.":Z1:9120:9000AFT,2,6:CO,20,20:"A pentagon has 5 sides.":Z2:9540:9530:Z5:Z$"DCBAE":9550:OP((Y$)):OP1OPMAXįWIND:CO,10,182:"Enter a number from 1 to "MAX".":WIND,20,20:9700u7%CO,10,182:CEL:7H&CA$:CO,X,Y:INP,(1,LE$),Y$:Y$"A"Y$M$įCO,10,182:"Enter a letter from A to "M$".":98007\&CO,10,182:CEL:Y8&CO,X,Y:INP,(1:9000( HSP,2:WIND,20,20:CL$::"Now complete the chart"::"up through the dodecagon.":::"You should be able to predict"::"the number of diagonals by"::"continuing the pattern.":CL1:9000)*WIND:CO:HSP,1:"Fill in the numbers of diagoCO,130:"diagonals.":9000:460oTR1:CO,20,20:"Good try, but not quite.":CO,130,80:"Count again.":430WIND:CL$:"Let's add this result to the chart.":WIND,20,20:Z2:9120:9000QAFT,3,0:WIND:CO::"Let's look at one more figure."::"A "CN$"HEXAGON"CO$" has 6 sides.":AFT,3,6:Z3:9540:9530:Z6:Z$"EDCBAF":9550WIND,130,20,279,191:CO,130,70:"Count the diagonals"::"as they are drawn.":CL0:9000:CL1WIND:Z3:Z10:Z224:9560::Z11:Z235:9560::Z12:Z24:9560:Z25:9560:Z13:9560}:CO,130,120:"A hexagon has"::CO,130:" diagonals.":125,152145,152:X132:Y142:9700:OP9510AFT,2:BOX,0,0,279,33:BOX,125,33,279,191:COqTR1ĺCJ$"The diagonals are "CN$"AC"SS$"AD"SS$"AE"SS$"BD"SS$"BE"CO$",":CO,0,22:CN$"BF"SS$"CE"SS$"CF"CO$", and "CN$"DF"CO$".":CO,140,80:"There are 9"::CO,140:"diagonals.":9000:510TR1:BOX,0,0,279,33:BOX,125,33,279,191:CO::"Good try. Count again. Be careful":CO,0,20:"not to count a diagonal twice.":4801CL$:"Add this result to the chart.":9120:9000AFT,3,0:W10:WIND,W,W:CO:"Now the simpler figures aren't"::"so simple any more! A seven-"::"sided figure is quite complicated.":9"At this point in "CN$"SIMPLIFYING"::"THE PROBLEM"CO$" method, we'll stop"::"drawing simpler figures and see":"if there's a "CN$"PATTERN"CO$" in the"::"number of diagonals we've already"::"drawn and counted.":9000z W10:WIND,W,W::"If we find a "CN$"PATTERN"CO$", then"::"we can predict the number of"::"diagonals for figures like a"::"dodecagon without having to draw"::"and count all the diagonals.":9000 &CO:"Number of diagonals":20,28150,28:AFT,3:CN$:Z3:9140:CO,64,36:VSP,0,2:AFT,2:BR$:VSP,1,2_!0CO,85,40:"These are the numbers"::CO,85:"of diagonals we've"::CO,85:"counted so far.":CO,34,81:CN$"&''("CO$!:CO,20,120:"Look for a pattern in this"::"sequence. Try to predict the"::"next number of diagonals.":CL0:9000:BOX,64,29,279,90:BOX,0,120,279,191"D:CO,85,40:"What is the next"::CO,85:"number?":HSP,1:X42:Y82:9800:BOX,80,40,279,90:ZZ14įCO,85,40:"No, "ZZ" isn't the"::CO,85:"next number.":9000:700#NCO,85,40:"That's correct."::CO,85:"14 is the next"::CO,85:"number of diagonals.":9000#XBOX,34,80,65,90:BOX,80,30,270,90:Z4:9140:Z5:9150:CO,95,40:"You've figured out"::CO,95:"that there's an"::CO,95:"addition pattern in"::CO,95:"this sequence.":CL1:9000$bWIND:CO::"The chart would now look like this:":Z4:9120:CO,150,125:"As you predicted,":CO,150:"there are 14":CO,150:"diagonals in a":CO,150:"heptagon.":9000:800$WIND:CL$:"Let's look for a pattern together.":CO,20,20:"Number of diagonals":20,28150,28:Z3:91403%CO,100,40:"What is added"::CO,100:"to 0 to get 2?":Z2:9160}%CO,100,40:"Now what is added"::CO,100:"to 2 to get 5?":Z3:9160%CO,100,40:"Now what is added"::CO,100:"to 5 to get 9?":Z4:9160U&CO,100,40:"A pattern is"::CO,100:"becoming clear.":::CO,100:"What number should"::CO,100:"be added to 9?":Z5:9160:ZZZ760&CO,100,50:"First 2 was added"::CO,100:"then 3"::CO,100:"then 4;"::CO,100:"now 5 should be added.":9000:BOX,100,30,279,191'CO,100,40:"What is the"::CO,100:"next number of"::CO,100:"diagonals after 9?":X42:Y82:9800:KZZ:BOX,34,80,70,90:Z4:9140:Z5:9150:9000:K14800(AFT,3:BOX,100,30,279,191:CO,100,40:"It's easy to"::CO,100:"add incorrectly!":::CO,100:CN$" 9 + 5 = 14"CO$:CL,152145,152:MAX9:9700:OP5460[AFT,2:BOX,0,0,279,35:BOX,125,35,279,191:WIND:CO TR1TR0:CO:HSP,1:"It's easy to miscount! The diagonals":HSP,2::"are "CN$"AC"SS$"AD"SS$"BD"SS$"BE"CO$", and "CN$"CE"CO$".":CO,130,90:"There are 5"::120:Y70:9600:W0:WIND,W,W:CO::"Now that we have noted some facts"::"about the squares, let's state the"::"problem again."CO,10,115:"The question is:":CO,10,136:CN$"How many squares are "CC$:"there in the grid?"CO$CC$:BL35:BR248:BU130,166,164:" ":I010:CO,166,164:CN$" "CO$:J0100:J:CO,166,164:CN$"54"CO$:J050:J:I:CL1:9000+HAFT,3:WIND,20,20:CL$:"By "CN$"SIMPLIFYING"CO$" the problem and"::"looking for a "CN$"PATTERN"CO$", you've"::"found that a dodecagon has 54"::"diagonals."+RW0:WIND,W,W:::AFT,1:CN$"GOOD PROBLEM SOLVING!"CO$CC$:AFT,3:9000:"Whenever you're faced with a"::"problem you "CN$"DON'T"CO$" know how to do,"::"remember to try..."I,WWIND:CO,50,90:AFT,1:CN$"Trial and error":CO,5,105:"Making an exhaustive list":CO,10,120:"Simplifying the problem"CO$,\BL0:BR260:BU84:BD140:9200:CO,20,150:"One of these could help you find"::CO,20:"the answer to your problem!":9000|-fWIND,W,W:CO:"Sometimes you will use a different"::"strategy to solve a problem"::"- perhaps one that you thought of"::"yourself.":::CN$"THAT'S GREAT!"CO$CC$:9000-p31000-CL$:CO,0,90:"One moment please...":-(#-2#CA$:SPACE:-<#CL1ĺCL$-F#-#.#BOX,110,15,279,115:BOX,0,115,279,180::.#31,52212,52:31,53212,53:132,36132,175:132,37132,175:AFT,3:CO,57,44:CN$"FIGURE":CO,139,36:"NUMBER OF":CO,139,44:"DIAGONALS"CO$.#ZZ0Z:Y56ZZ12:CO,31,Y:F$(ZZ):CO,167,Y:F(ZZ)::+/#AFT,3:CN$:ZZ0Z:CO,41,34ZZ12:2((F(ZZ))));F(ZZ)::CO$:/#AFT,2:CN$:ZZ2Z:CO,58,13ZZ12:"%":CO,64,14ZZ12:CO$" +"ZZ;CN$::CO$:,0#AFT,2:X72:Y1312Z:CO,58,Y:CN$"%"CO$:9800:BOX,58,Y2,99,Y9:BOX,100,30,279,191:CO,64,Y1:" +"Z:ZZZZ5įCO,100,50:Z" is added.":9000:BOX,100,30,279,19120#b0#9120:ZZZ19:CO,31,56ZZ12:F$(ZZ)::0#CL$:CO,20,20:"Number of diagonals":20,28150,28:ZK1:9140:ZK1:9150:CO,37,35K12:AFT,2:CN$"&'("CO$:CO,100,40:Z1$(K5)::CO,100:Z2$(K5)1#CO,100,100:"Add "F(K1)" + "K1" = "F(K)::CO,100:"to get the number"::CO,100:"for the "F$(K)".":CL1:9000:ZK:9180:1# 2#Z0:Z13:6:ZZZ101:BLZZ,BUZBRZZ,BUZ:BRZ,BUZZBRZ,BDZZ:BRZZ,BDZBLZZ,BDZ:BLZ,BDZZBLZ,BUZZ:ZZ1:ZZN2$ZZZ11:BLZZ,BUZZ:BRZZ,BUZZ:BLZZ,BDZZ:BRZZ,BDZZ:3:T2%2:%SX(Z,0),SY(Z,0):X(0)SX(Z,0):Y(0)SY(Z,0):NSX(Z,12):S1N1:SX(Z,S),SY(Z,S):X(S)SX(Z,S):Y(S)SY(Z,S):S:SX(Z,0),SY(Z,0):3D%I0SX(Z,12)1:CO,SX(Z,I)2,SY(Z,I)4:"]":I:M3N%I0SX(Z,12)1:CO,SX(Z,I)9,SY(Z,I)2:(Z$,I1,1)::3X%I011:228,H(H):SX(Z,Z1),SY(Z,Z1)SX(Z,Z2),SY(Z,Z2):I:3%3%ZZ0:P0:S210:ZZZZ1:ZZZY96403%X(P),Y(P)X(S),Y(S):S:P19:SP211:ZZZZ1:ZZZY96404%X(P),Y(P)X(S),Y(S):S:P#4%)4%4%CO,X,Y:INP,(((MAX)),N),Y$:OP((Y$)):OP0OPMAXįCO,10,182:"Enter a number from 1 to "MAX" please.":97104%CO,10,182:CEL:4&4 &ZZ1700:ZZ:4H&15R&AFT,2:CO,X8,Y1:CN$"&''":CO,X9,Y1:"'("CO$:CO,X,Y:INP,(2,"-09"),Z$:ZZ(Z$):75&5&CO,X,Y:L):CO,X,Y:INP,(L,A,0),Y$:Z(Y$):Z65ZMįCO,20,182:CO$"Enter a letter from A to "(M1)" please."CN$:9910 6&Z1((Y$,1)):Z2((Y$,1)):Y$(Z1)(Z2):Z(Z1Z21Z1Z21)(Y$"AL"Y$"LA")"6&CO,20,182:CEL:(6y6"yWIND:HSP:VSP:CL$CO$:CO,0,90:"Do you want to try again? ";:36000:Z$"Y"ĺD$"RUN DIAGONALS-B"6,yZ$"N"İ5000:RNH,"MENU"66DB:GCP,ZX,ZY97CO,ZX,ZY:CEL:INP,(3,"YESNO"),Z$:Z$(Z$,1):Z$"Y"Z$"N"įCO,20,182:"Type in yes or no please.":36020N7CO,0,182:CEL: PPPPPPPP pp(p  @@@h @ @ @ p ppDnals one":"at a time. Start with the octagon and":"end with the dodecagon.":HSP,2:Z4:9180:K59:X167:Y56K12:9800:ZZF(K)İ9190:830)4BOX,155,Y2,190,Y8:CO,166,Y:F(K)k*>K:AFT,1:BOX,0,0,279,25:CO,70,5:CN$"THAT'S IT!"CO$:AFT,3:COt as we did"::"before.":9000n&N6:P1:Q5:8800:CO,W,20:"Fill in the missing number.":CO,188,90:97000OP36įBOX,20,20,279,40:CO,W,20:CEL:"No, the correct number is 36.":CO,188,90:"36 ":C0:9000:C17:BOX,W,20,279,40:CO,W,20:"Now 3:1:ZZZ101:BLZZ,BUZBRZZ,BUZ:BRZ,BUZZBRZ,BDZZ:BRZZ,BDZBLZZ,BDZ:BLZ,BDZZBLZ,BUZZ:ZZ1:ZZ$ZZZ11:BLZZ,BUZZ:BRZZ,BUZZ:BLZZ,BDZZ:BRZZ,BDZZ:3:%AFT,4:CN$:Z1GS:GXX:GYY:CO,X,Y(Z1)8:Z11GS:"#";:::%AFT,1:CO$:%CO,X,Y:INP,(((MAX)),N),Y$:OP((Y$)):OPMINOPMAXįCO,10,182:HSP,1:"Enter a number from "MIN" to "MAX" please.":HSP,2:9700%CO,10,182:CEL:H&UXUS1GSUYUS1GSUXUX1:UYUY1:9805DR&AFT,4:XX(UX1)8GX:YY(UY1)8GY:CN$:Z1US:CO,XX,YY(Z1)8:Z11US:"'";:::W&T50:8700:Z1US:CO,XX,YY(Z1)8:Z11US:"#";:::\&8700:AFT,1:CO$:yWIND:HSP:VSP:CL$CO$:CO,0,90:"Do you want to try again? ";:36000:Z$"Y"Ĭ ,yZ$"N"İ5000:RNH,"MENU" DB:GCP,ZX,ZYCO,ZX,ZY:CEL:INP,(3,"YESNO"),Z$:Z$(Z$,1):Z$"Y"Z$"N"įCO,20,182:"Type in yes or no please.":36020CO,0,182:CEL: PPPPPPPP pp(p  @@@h @ @ @ p pD BLZZ,BUZZ:BRZZ,BUZZ:BLZZ,BDZZ:BRZZ,BDZZ:3:=T$}^$WL(771):WRWL(772)(773)2561:WT(774):WB(775)1:%%AFT,4:CN$:Z1GS:GXX:GYY:CO,X,Y(Z1)8:Z11GS:"#";:::%AFT,1:CO$:%x%9300:WIND:CO,X,Y:INP,(((MAX)),N),Y$:OP((Y$)):OPMINOPMAXįCO,0,182:HSP,1:"Enter a number from "MIN" to "MAX" please.":HSP,2:9710%CO,0,182:CEL:WIND,WL,WT,WR,WB:H&M&UXUS1GSUYUS1GSUXUX1:UYUY1:98053R&AFT,4:XX(UX1)8GX:YY(UY1)8GY:CN$:Z1US:CO,XX,YY(Z1)8:Z11US:"'";:::qW&T50:8700:Z1US:CO,XX,YY(Z1)8:Z11US:"#";:::\&8700:AFT,1:CO$:y"yWIND:HSP:VSP:CL$CO$:CO,0,90:"Do you want to try again? ";:36000:Z$"Y"Ĺ900,0:5000:RNH,"SQUARES-B"%,yZ$"N"Ĺ900,0:5000:RNH,"MENU"+>DB:GCP,ZX,ZYCO,ZX,ZY:CEL:INP,(3,"YESNO"),Z$:Z$(Z$,1):Z$"Y"Z$"N"įCO,20,182:"Type in yes or no please.":36020CO,0,182:CEL: PPPPPPPP pp(p  @@@h @ @ @ p p $"RUN DIAGONALS-EXH"aCL$:CEW:CO,0,90:"One moment please...":g(#y2#CA$:SPACE:<#CL1ĺCL$F###BOX,110,15,279,115:BOX,10,115,260,180::#L#5:Z0:ZB3:ZZZB01:BLZZ,BUZBRZZ,BUZ:Be chart? ";:DB:GCP,ZX,ZY:CA$:WIND,W,20,188,191:I15:CO,200(AN(I)10)7,I1060:AN(I)::BL191:BR221:BU50:BD125:9200:CO,ZX4,ZY:36000:X79:Y154:WIND,20,20,140,190:VSP,8^Z$"Y"İ9120:CO:"Good, there is a pattern here."::"What number would come above 25 to continue this pattern? ";:9700:OP36įCO,200,60:36:9000:520WIND,20,20:VSP:CL$:CO,20,40:"Each of these numbers"CC$::"25, 16, 9, 4, 1"CC$::"has a special property."CC$::"It is a "CN$"PERFECT SQUARE"CO$"."CC$*BL12:BR252:BU20:BD170:9200:9000X20:Y56:CO:"A "CN$"PERFECT SQUARE"CO$" is the"::"product of a number times"::"itself.":I511:CO,80(II10)8,150I10:II" = "I" x "I:I:9000EW10:WIND,W,W:CO,W,20:"What is the next higher perfect"CM$CJ$"square after 25?"CM$CJ$" = 6 X 6":CO,X,Y:9700OP36ĺCL$:CO,W,20:"No, the next higher perfect"CM$CJ$"square after 25 is 36."CM$CJ$" (6 x 6 = 36)":9000YW5:WIND,W,20:VSP:CL$:"The "CN$"PATTERN"CO$" we have found"::"is that the number of squares of"::"a given size is a "CN$"PERFECT"::"SQUARE"CO$"."CO,W,100:"We can apply this pattern"::"to the case of a 6 x 6 grid.":9000X110:Y20:GS6:9600:CO,W,120:"Here is a 6 x 6 grid."::"We can make a char:BD166:9200:9000:CL$:275ICL$:CO,0,90:"One moment please...":hX5000:D$"RUN SQUARES-T&E"b5000:D$"RUN SQUARES-EXH"l5000:D$"RUN SQUARES-SIM"!Z51T::(#CA$:SPACE:<#C1ĺCL$F##BOX,0,100,279,191:w#Z0:Z18530:9920G,&CH32G(UX,UY)1:NSNS1:CO,217(NS10)8,57:NS:9920T,&CH13ı^,'9920d,y,"yWIND:HSP:VSP:CL$CO$:CO,0,90:"Do you want to try again? ";:36000:Z$"Y"Ĺ900,0:5000:RNH,"SQUARES-B",,yZ$"N"İ5000:RNH,"MENU", -Ds a lot of work.":9000X"You have applied what you"::"learned about the 5 x 5 grid"::"to a new situation -- the 6 x 6"::"grid." bCO,W,120:" The pattern helped you generalize":CO,W,130:"to solve a new problem."CC$:BL3:BR274:BU115:BD145:9200:9000lAFT,3:CO:"Now that you see the pattern, try"::"to think of a way to find the"::"answer without having to count"::"squares "CN$"OR"CO$" make a new chart.":9000" vCO,W,60:"You may want to use"CC$::"a calculator and the"CC$::"worksheet to help you."CC$:9000s CO:"Try your method on a 10 x 10":CO,W,30:"grid.":X100:Y95:GS10:9600 CO,W,50:"How many squares are there in a":CO,W,60:"10 x 10 grid? ";:MAX999:9700:OP385670x!CL$:AFT,3:CO,W,20:HSP,1:CN$"CONGRATULATIONS!"CO$" Your method":HSP,2:CO,W,30:"works!":CO,W,60:"That required some"CC$::"very good problem"CC$!:"solving skills!"CC$:BL63:BR216:BU55:BD110:9200:CO,20,140:"Hope you enjoyed the challenge.":9000:680"CL$:CO:"No, that's not it. The answer"::"is 385 squares in a 10 x 10 grid."::"Recheck your arithmetic and see if"::"you need to alter the method you"::"used.""::"Hope you enjoyed the challenge"::"of this problem.":9000#900,1:5000:RNH,"SQUARES-B"0#CL$:CO,0,92:"One moment please...":6#4!#>!9100:CO,W,120:"Look again. You have already"::"counted that square.":9000:#H!CO,10,10:"To move cursor":CO,40,20:AFT,4:CN$;","CJ$;CH$"("CJ$CH$CH$CH$"%) *$"CJ$CH$CH$CH$"+"CJ$CH$"-"CO$x$M!CO,195,10:"Number of":CO,209,20:US" x "US:CO,202,30:"squares":BL208:BR238:BU50:BD70:9200:CO,218,57:" "%R!9100:CO,W,120:"To count the "US" x "US" squares,"::"move the cursor to a square and"::"press SPACE. When you are"::"finished press RETURN.":%\!%%a!QUS1n%f!N5:P1:8800:CO,W,20:"Now fill in that number on the"::"chart."&p!X188(MSMS10)7:Y90Q10:CO,X,Y:9700:BOX,W,20,279,50:OPMSMSįCO,W,20:"No, the correct answer is "MSMS".":CO,X,Y:MSMS" ":9000&!&"Z51T::&`" E&j"CL$:20,80260,80:140,60140,170&t"CO,58,60:"Size":CO,180,60:"Number":CO,50,70:"Square":CO,164,70:"of squares"&~"ZZ1N:CO,58,80ZZ10:ZZ" x ";ZZ:'"Q0āZZPPQ1:CO,1887(AN(ZZ)10),80ZZ10(N6)10:AN(ZZ):'"&'(#CA$:SPACE:6'<#C1ĺCL$:L'F#CO,41,182:CEL:S'# k'#BOX,0,80,279,191:'#BOX,0,0,185,191:'# (#Z0:Z13:5:ZZZ101:BLZZ,BUZBRZZ,BUZ:BRZ,BUZZBRZ,BDZZ:BRZZ,BDZBLZZ,BDZ:BLZ,BDZZBLZ,BUZZ:ZZ1:ZZO($ZZZ11:BLZZ,BUZZ:BRZZ,BUZZ:BLZZ,BDZZ:BRZZ,BDZZ:3:V(T$ (^$WL(771):WR(772)(773)256WL1:WT(774):WB(775)1:(%(%AFT,4:CN$:Z1GS:GXX:GYY:CO,X,Y(Z1)8:Z11GS:"#";:::(%AFT,1:CO$:(% %)%DB:GCP,ZX,ZY:16368,0:9300:WIND)%CO,ZX,ZY:INP,(((MAX)),N,0),Y$:OP((Y$)):OPMINOPMAXįCO,0,182:HSP,1:"Enter a number from "MIN" to "MAX" please.":HSP,2:9720)&CO,0,182:CEL:WIND,WL,WT,WR,WB:)H&*M&UXUS1GSUYUS1GSUXUX1:UYUY1:9805E*R&AFT,4:Z$"#":9850:Z$"'":9850:8700:AFT,1:*z&XX(UX1)8GX:YY(UY1)8GY:CN$;:Z1US:CO,XX,YY(Z1)8:Z11US:Z$;::::CO$:*&I16:J16:G(I,J)0:::*&+&AFT,4:UX1:UY1:CC16368:CI16384:CI,0:8520:MS(GS1)US:NS0I+&Z$"'":9850:CC,0:CI,128:CH(CI)128:Z$"#":9850o+&(CH73CH11)UY1UYUY1:9920+&(CH74CH8)UX1UXUX1:9920+&(CH75CH21)UXMSUXUX1:9920+&(CH77CH10)UYMSUYUY1:9920 ,&CH32G(UX,UY)1İ8500:find the total number of"::"squares in a 6 x 6 grid."{D170,150200,150:CO,178,140:"+":CO,142,155:"Total 91":9000NCL$:CO:"So a 6 x 6 grid would contain"::"91 squares. That's a lot of"::"squares to have to count!"::"The chart saved uCO,W,150:"(You may want to use a worksheet"::"to help you.)":MAX500:CO,X,Y:9700k% CL$:OP385850%*CO:"No, that is not it. The answer"::"is 385 squares in a 10 x 10 grid.":::"Recheck your arithmetic and see"c&4:"if you need to alte4 x 4 grid"::"there are":I14:CO,100,110I10:I" x "I" square(s)":Z0:I411:X70(II10)8:Y160I10:CO,X,Y:9700:ZZ(OPII):I:Z4įBOX,0,0,100,100:CO:"Count again."::"There are":I411:CO,70(II10)8,160I10:II" "::9000BOX,0,0,100,100:CO:"So for the"::"4 x 4 grid"::"there are":60,159210,159:CO,62,162:"30 Total squares":C1:9000H&C0:N3:8800:CO:"Now add this total to the chart.":Y128:CO,20,Y:"4x4":CO,185,Y:Z$:CO,100,Y:9700:9120:CO:OP30ĺ"No, the total is 30 for a 4 x 4"::"grid.":CO,100,Y:"30 ":900009120:CO:"Now guess the total number"::"of squares for a 5 x 5 grid.":CO,20,140:"5x5":CO,100,140:9700:Z(OP55)(OP55)2:Z600,610>XAFT,3:CL$:CN$"TERRIFIC!"CO$CC$::"You seem to have good"CC$::"problem-solving skills."CC$]:::"You successfully used"CC$::AFT,1:CN$"SIMPLIFYING"CO$CC$::"to solve this problem."CC$:9000:700vbVSP,8:WIND,20,20,260,191:CL$"No, "OP" is not correct. Perhaps your arithmetic contained an error or the pattern you saw wasn't quite correct. Let's look again for a pattern.":C1:VSP:9000lN4:8800:Y140:CO:"Now fill in the sum column for"::"a 5 x 5 grid.":CO,20,Y:"5x5":CO,161,Y:"1+"v9300:WIND:I25:X145I15(I5)7:CO,X,Y:9700:OPIIįBOX,X,Y,X32,Y8:CO,0,172:CEL:"No, the answer is "II"."CC$:CO,X,Y:II" ":SPACE:BOX,0,170,279,191I5įCO,X8(I4)8,Y:"+"I:C0:9000:9120:BOX,0,172,279,191gWIND,10,20,270,191:CO:"Now add the number in the sum column for the 5 x 5 grid and enter that sum as the total.":CO,98,140:9700:CL$CO:OP55ĺ"No, "OP" is not correct.":::"Perhaps your arithmetic contains"::"a slight mistake.":C1:9000:685GCN$"Good."CO$CC$::"Now you have found a pattern in"CC$::"the simplified cases and used"CC$:"it to solve the problem."CC$:::"There are 55 squares in"CC$::"a 5 x 5 grid."CC$:C1:9000:700 N5:8800:CO:"Here is the completed chart,"::"be sure you can see a pattern.":9000CO,W,20:"By now you have found a pattern":"in the simplified cases and have":"seen how it was used to solve the"::"problem.":CO,20,100:"There are 55 squares in"CC$::"a 5 x 5 grid."CC$:9000e CL$:CO:"Now use the pattern you found to"::"solve a new problem:"::"Determine the number of squares"::"in a 6 x 6 grid.":9000 N5:8800:Y152:CO,20,Y:"6x6":X98:CO:"Enter the total for the 6 x 6"::"grid.":CO,X,Y:9700:OP91900!9120:VSP,4:CO:"No, "OP" is not correct."CC$:"Fill in the sum column for the"CC$:"6 x 6 grid."CC$:VSP:Y152:CO,154,Y:9300:WIND:"1+":I26:X138I15(I4)8(I6)8:CO,X,Y:9700 "OPIIįBOX,X,Y,X32,Y8:CO,0,172:CEL:"No, the answer is "II"."CC$:CO,X,Y:II:SPACE:BOX,0,170,279,191."I6įCO,X8(I4)7,Y:"+"q"I:WIND,20,20,260,191:C0:9000:C1:9120:BOX,20,170,279,191 #VSP,4:CO:"Now add the number in the sum column for the 6 x 6 grid and enter that sum as the total.":VSP::X98:Y152:BOX,X,Y,X32,Y8:CO,X,Y:9700#W0:WIND,W,20,279:9120:CO:OP91įCO,W,10:"No, the number is":CO,W,20:"91 = 1+4+9+16+25+36."CC$:CO,W,30:"There are 91 squares in a 6 x 6":CO,W,40:"grid.":9000$ W5:WIND,W,20,279:CL$:"You have used the"::CN$"SIMPLIFYING METHOD"CO$CC$:AFT,1:$:"to find the number of squares in a"::"6 x 6 grid.":CO,W,120:"Now try this method on a"::"10 x 10 grid.":9000V%CL$:GS10:X100:Y20:9600:CO,W,110:"How many squares are there in a"::"10 x 10 grid?":X120:Y128:B:GCP,ZX,ZY{-:CO,ZX,ZY:CEL:INP,(3,"YESNO"),Z$:Z$(Z$,1):Z$"Y"Z$"N"įCO,W,182:"Type in yes or no."CC$:36020-CO,0,182:CEL: PPPPPPPP pp(p  @@@h @ @ @ p p current ink color is used in calculating the cost for that box."kBU75:BD105:BL13:BR255:9200:9000CL$:CO,20,80:"Do you want to review":CO,20,92:"these instructions before":CO,20,104::"you start? ";:36000:Z$"Y"240CL$:AFT,1:"u enjoyed the challenge.":9000:920'WIND,10,20,270,191:VSP,8:AFT,1:CL$CN$"GREAT!"CO$CC$:"You found the answer by using the pattern. That's a lot easier than counting all those 91 squares."1(:"You might want to use the pattern figure out the number of squares in a 10 x 10 grid.":VSP:9000L(5000:RNH,"SQUARES-B"x(CL$:CO,0,90:"One moment please...":~(@(4!(>!9100:CO,W,120:"Look again. You have already"::"counted that square.":9000:O)H!:CO,10,10:"To move cursor":CO,40,20:AFT,4:CN$;","CJ$;CH$"("CJ$CH$CH$CH$"%) *$"CJ$CH$CH$CH$"+"CJ$CH$"-"CO$)M!CO,195,10:"Number of":CO,209,20:US" x "US:CO,202,30:"squares":BL208:BR238:BU50:BD70:9200:BOX,217,57,230,66u*R!W10:WIND,W,W:9100:CO,W,120:"To count the "US" x "US" squares,"::"move the cursor to a square and"::"press SPACE. When you are"::"finished press RETURN.":{*\!*a!QUS1*f!N5:P1:8800:CO,20,20:"Now fill in that number on the"::"chart."V+p!X188(MSMS10)7:Y90Q10:9700:BOX,20,20,279,50:OPMSMSįCO,20,20:"No, the correct answer is "MSMS:CO,X,Y:MSMS:9000\+!+!NS0:YX1GSUS1:XY1GSUS1:NSNS1:UXXY:UYYX:CO,218(NS10)7,57:NS:N15:9800:N:XY:YX:+!+"Z51T::+`"%,j"9300:WIND:CL$:10,80266,80:58,6058,170:150,60150,170,t"HSP,1:CO,7,60:"Size of":CO,65,60:"Total number":CO,14,70:"Grid":CO,73,70:"of squares":CO,203,70:"Sum":HSP,2#-~"Z$"1":ZZ1N:Y80ZZ12:CO,20,Y:ZZ"x"ZZ:CO,106(AN(ZZ)10)8,Y:AN(ZZ):CO,2098ZZ,Y:Z$:Z$Z$"+"((ZZ1)(ZZ1)):ZZ;-"WIND,WL,WT,WR,WB:A-(#S-2#CA$:SPACE:a-<#C1ĺCL$g-F#m-#-#BOX,0,80,279,191::-#BOX,0,0,279,54:-#%.#Z0:Z13:5:ZZZ101:BLZZ,BUZBRZZ,BUZ:BRZ,BUZZBRZ,BDZZ:BRZZ,BDZBLZZ,BDZ:BLZ,BDZZBLZ,BUZZ:ZZ1:ZZj.$ZZZ11:BLZZ,BUZZ:BRZZ,BUZZ:BLZZ,BDZZ:BRZZ,BDZZ:3:p.T$.^$WL(771):WRWL(772)(773)2561:WT(774):WB(775)1:.%.%AFT,4:CN$:Z1GS:GXX:GYY:CO,X,Y(Z1)8:Z11GS:"#";:::/%AFT,1:CO$:/%>/%9300:DB:GCP,ZX,ZY:16368,0:WIND/%CO,ZX,ZY:INP,(((MAX)),N),Y$:OP((Y$)):OPMINOPMAXįCO,0,180:CEW:CO,0,182:HSP,1:"Enter a number from "MIN" to "MAX" please.":HSP,2:97200&WIND,WL,WT,WR,WB:CO,0,182:CEL:0H&70M&UXUS1GSUYUS1GSUXUX1:UYUY1:9805o0R&AFT,4::Z$"#":9850:Z$"'":9850:8700:AFT,1::0z&XX(UX1)8GX:YY(UY1)8GY:CN$;:Z1US:CO,XX,YY(Z1)8:Z11US:Z$;::::CO$:0&I16:J16:G(I,J)0:::0&@1&AFT,4:UX1:UY1:CC16368:CI16384:CI,0:8520:9860:MS(GS1)US:NS01&Z$"'":9850:CC,0:CI,128:CH(CI)128((CI)224(CI)251)32:Z$"#":98501&(CH73CH11)UY1UYUY1:99201&(CH74CH8)UX1UXUX1:99202&(CH75CH21)UXMSUXUX1:9920+2&(CH77CH10)UYMSUYUY1:9920S2&CH32G(UX,UY)1İ8500:8530:99202&CH32G(UX,UY)1:NSNS1:CO,218(NS10)7,57:NS:99202&CH13ı2'99202y3"yWIND:HSP:VSP:CL$CO$:CO,0,90:"Do you want to try again? ";:36000:Z$"Y"Ĺ900,0:5000:RNH,"SQUARES-B"<3,yZ$"N"İ5000:RNH,"MENU"B3a3DB:GCP,ZX,ZY:9300:WIND3CO,ZX,ZY:CEL:INP,(3,"YESNO"),Z$:Z$(Z$,1):Z$"Y"Z$"N"įCO,20,182:"Type in yes or no please.":360203CO,0,182:CEL:WIND,WL,WT,WR,WB: PPPPPPPP pp(p  @@@h @ @ @SX(Z,0Cr the method"::"you used.":::"Hope you enjoyed the challenge of"::"this problem.":9000:920&RAFT,3:CN$"CONGRATULATIONS"CO$", your method"::"works!":CO,20,100:"That problem took some very good"::"problem solving skills."$'\::"Hope yo),L%(P)AD'N(AA):Z1NC'X%(Z)XX(AA1):Y%(Z)YY(AA2)'X1%(Z)(AA3)X%(Z):Y1%(Z)(AA4)Y%(Z):A%(Z)(((AA3)6)((AA4)6))'NA(AA5):M$(Z)"":ZZ1NA:M$(Z)M$(Z)((AA5ZZ)):ZZ'AAAANA5:C%(Z)0:Z:3(@Z(P5)P(P4member":WIND,30,20::"- Counties with a common border must be "CN$"DIFFERENT"CO$" colors."::"- You want to keep the "CN$"TOTAL"CO$" cost as low as possible.":9000/CL$:AFT,3:WIND,W,20,279:VSP:CO,98,45:"You can choose to":CO,108,65:"1. practice on ":CO,105:" "CN$"SMALL MAPS"CO$", or"P2:XX5:YY45:8100:9600::CO,108:"2. color a ":CO,105:" "CN$"LARGE MAP"CO$::CO,98:"Which do you choose? ":Y119:X258:MA2:9700:OP1700/WIND:CL$:8500:X110:Y0:8700:WIND,20:TT0:XX40:YY50:PLM:7900:9520:PLM:7600:IN0620?X7500:8200lAFT,3:CL$:CO,76,50:"Hope you enjoyed":CO,64,70:CN$"THINKING WITH INK"CO$:CO,20,140:"Do you want to try again? ";:36000:Z$"Y"32000v5000:CLOSE:RNH,"MENU"VSP,8:WIND,W,20,279:CL$:::"You can choose practice maps in four levels of difficulty.":CO,20,120:"Which level do you want (1-4)?":X255:Y120:MA4:9700:POPTT0:XX70:YY50:7900WIND:CL$:8500:X110:Y0:8700:8000:WIND,20:9520:7600:IN08307500:TTD%(P)780CL$:CO,W,50:"You did a good job of coloring the map, but your total cost is not as low as it could be."CO,20,120:"Your total";8);"Lowest total":CO,40,130:"cost";13);"cost":CO,40,140:"$"TT:CO,190,140:"$"D%(P):9000|CL$:WIND,W,20:CO,W,120:"Do you want to try to lower your total cost by recoloring this map? ";:36000:Z$"N"800715 W20:AFT,1:CL$:CO,110,40:CN$"GREAT!"CO$:CO,W,80:"You colored the map at the":CO,W:"lowest possible cost.":BL10:BR260:BU70:BD105:9200CO,10,120:"Try to recall the strategies you used on this map, then apply these strategies to the large maps.":9000 VSP:W20:WIND,W,20,279:CL$::CO,W,20:"You can":CO,W,40:" 1. See the lowest possible":" cost map": %" 2. Color a different practice":" map"::" 3. Color a large map"::" 4. Stop for now":CO,20,140:"Which do you choose?" *X184:Y140:MA4:9700:OP820,700,530,630!4WIND:CL$:8100:8500:X110:Y0:8700:8000:WIND,20:9620:9000:800!>BL20:BR279:BU0:BD191:WIND,BL,BU,BR,BD:CL$:VSP,4:CO,20,91:"Do you want to try another practice map? ";:36000:Z$"Y"700!H800!CL$:CO,0,90:"One moment please...":A"L9120:W10:WIND,W,20,279:CO,W,145:"Your map is colored according to the rules given.":"Your total cost is $"TT".":9000"`9120::CO,W,145:"You may want to copy your map on paper and record the total cost.":"Your total cost is $"TT".":9000:"9900:CH817660*#8600:BOX0ĺ:CO,W,150:"You are not on the map.":9000:CO,W,150:CEL:7600P#ZBOX:C%(Z)0TTTTA%(Z)C%(Z)#TTTTA%(Z)CO:C%(Z)CO:9800:8900:8400:7600#IN0:8300:IN07690I$9120:VSP::CO,20,145:"This map is not colored according to the rules. Take another look and decide what rule has not been followed.":IN1ZBOX:8800:9000:7680v$IN2āZZ12:ZI1:8800:ZBOX:8800:ZZ$9120::CO,20,145:"Do you want to make any changes to this map? ";:36000:Z$"Y"İ9120:7600$ P%:CO,W,120:"How would the cost be calculated for the county colored here?":CO,70,150:" x = "%(Y150:MA18:X70:9700:ZZOP:X119:9700:BOX,0,180,279,191:((ZZZ1)(ZZZ2))((ZZOP)(Z1Z2))7740&2BOX,W,120,279,145:CO,W,120:"No, the answer is":CO,70,150:Z1" ":CO,119,150:Z2" "J&<CO,168,150:Z1Z2" ":9000:BOX,0,120,279,191:&xX%(Z),Y%(Z)X1%(Z),Y%(Z)X1%(Z),Y1%(Z)X%(Z),Y1%(Z)X%(Z),Y%(Z)&X%(Z)1,Y%(Z)1X1%(Z)1,Y%(Z)1X1%(Z)1,Y1%(Z)1X%(Z)1,Y1%(Z)1X%(Z)1,Y%(Z)1: 'AAAD:REED,AD%(PYou can now begin your work."::"You may want to use one or more of these strategies:"CN$:CO,73,90:"Trial and error":CO,59,110:"Exhaustive listing":CO,37,130:"Simplifying the problem"CO$BU85:BL30:BR270:BD150:9200:9000AFT,3:CL$:"Rement please...":RNH,"THINKING W/INK"0715436C7DB:GCP,ZX,ZY7BL(771):BR(772)(773)256BL1:BU(774):BD(775)17WIND:CO,ZX,ZY:CEL:INP,(3,"YESNO"),Z$:Z$(Z$,1):Z$"Y"Z$"N"įCO,20,182:"Type in yes or no please.":36020 8C:REED,AD%(0),L%(0)AD:AAAD) Z09:AAADZ22:N$(Z)"":SC%(Z)P(AA):ZZAA2AA21:N$(Z)N$(Z)((ZZ)):ZZ:Z:TPSC%(0):TTSC%(9)8260)& Z09:TTSC%(Z)āZZ8Z1:SC%(ZZ1)SC%(ZZ):N$(ZZ1)N$(ZZ):ZZ:SC%(Z)TT:POZ:Z9)0 Z:TTTP8270*: CL$:AFT,3::CN$"CONGRATULATIONS!"CO$CC$:CO,20,90:"You have colored the map at a low cost and can add your name to the":CN$"TOP TEN LIST."CO$CC$:8280a+D AFT,3:CL$:"You did a good job of coloring the map, but your total cost is too high to make the "CN$"TOP TEN LIST"CO$"."::"You may want to try again to color the map more cheaply.":9000:+N CL$:VSP,8:CN$"SPECIAL"CC$:"CONGRATULATIONS!"CO$CC$:"You have colored the map"CC$+,S "at the"CC$:"lowest cost so far."CC$:"You can add your name to the "CC$:CN$"TOP TEN LIST"CO$"."CC$:VSP,X HSP,1:WIND:CO,0,160:"What is your name? ";:INP,(15,"-AZ .'--",1),Y$:N$(PO)Y$(" ",20(Y$)):CL$-] "TOP TEN LIST"CC$:Z09::CO,10,Z1240:3((Z1)));Z1;". ";N$(Z):SC%(Z)32767įCO,200,Z1240:SC%(Z)$-^ Z-b Z09:AAADZ22:AA,L(SC%(Z)):AA1,H(SC%(Z)):ZZ120:AAZZ1,((N$(Z),ZZ,1)):ZZ:Z-g WRITE,AD%(0),L%(0)AD:WRITE:9000:-l IN0:Z1N:C%(Z)0IN1:BOXZ:ZN:8340,. NA(M$(Z)):ZZ1NA:I1((M$(Z),ZZ,1)):C%(Z)C%(I1)IN2:BOXZ:ZZNA:ZN4. ZZ=. Z:. :CO,W,160:"Cost for this box: $"A%(Z)CO" ":CO,W,170:A%(Z)" x "CO" = "A%(Z)CO" ":CO,185W,160:"Total cost":CO,203W,170:"$"TT" ":S/4!AFT,4::CO,20,20:CN$;","CJ$;CH$"("CJ$CH$CH$CH$"%) *$"CJ$CH$CH$CH$"+"CJ$CH$"-"CO$:AFT,3:CO,0,10:CN$"Q"CO$" to quit":/!BOX0:Z1N:YPY%(Z)YPY1%(Z)XPX%(Z)XPX1%(Z)BOXZ:ZN/!Z:S0!AFT,3:CO,X,Y:"Blue $"CN$"1"CO$:CO,X90,Y:"Dk Blue$"CN$"4"CO$:CO,X,Y10:"Rust $"CN$"2"CO$" Pink $"CN$"5"CO$:CO,X,Y20:"Orange$"CN$"3"CO$" White $"CN$"6"CO$0"ZZ02:BOX,X21,YZZ10,X5,ZZ10Y8,CO%(ZZ1):BOX,X71,ZZ10Y,X86,ZZ10Y8,CO%(ZZ4):ZZ:0`"Z1CO%(C%(Z)):Z2Z1(Z110)10(Z110)10(Z17)3G1t"ZZ12:CO%(C%(Z))Z2:9800:ZL1100:ZL:CO%(C%(Z))Z1:9800:ZL1100:ZL:ZZa1~"CO%(C%(Z))Z1:8900:1"HSP,0:VSP,0::ZL((A%(Z)))5:BOX,X1%(Z)ZL2,Y1%(Z)9,X1%(Z)3,Y1%(Z)2,4:CO,X1%(Z)ZL3,Y1%(Z)9:CP$A%(Z):VSP,4:HSP:1(#CA$:SPACE::2#BOX,0,137,279,191:+2#BOX,0,145,279,191:2#Z0:Z13:2:ZZZ101:BLZZ,BUZBRZZ,BUZ:BRZ,BUZZBRZ,BDZZ:BRZZ,BDZBLZZ,BDZ:BLZ,BDZZBLZ,BUZZ:ZZ1:ZZ2$ZZZ11:BLZZ,BUZZ:BRZZ,BUZZ:BLZZ,BDZZ:BRZZ,BDZZ:7:b3T$WIND:CO,X,Y:INP,(3,"YESNO"),Y$:Y$(Y$,1):Y$"Y"Y$"N"įCO,20,182:"Type in yes or no please.":9300w3h$CO,0,182:CEL:3%Z1N:7800::30%TT0İ9620:3:%Z1N:7800:8900::3%Z1N:7800:9800::3%Z1N:7800:9800:8900::4%:CO,X,Y:INP,(((MA)),N),Y$:OP((Y$)):OP1OP(MA)įWIND:CO,5,182:"Enter a number from 1 to "MA" please.":WIND,W,20,279,191:97004%BOX,0,182,279,191:CO,5,182:CEL:4H&BOX,X%(Z)2,Y%(Z)2,X1%(Z)2,Y1%(Z)2,CO%(C%(Z)):5&CO0:CC16368:CI16384:CJ128:CI,0Z5&2XP,YP3:CC,0:CI,CJ:CH(CI)CJ((CI)128):CH96CH122CHCH32i5&2XP,YP35&(CH73CH11)YPYDWTYPYPYD:99205&(CH74CH8)XPXDWLXPXPXD:99205&(CH75CH21)XPXDWRXPXPXD:99206&(CH77CH10)YPYDWBYPYPYD:992016&Z16:CHCO%(Z6)COZH6&CH48ZXDZ:YDZ]6&Z:CH81CO0ıg6'99206yWIND:VSP:CLOSE:CL$CO$:CO,0,90:"Do you want to try again? ";:36000:Z$"Y"320006,yZ$"N"İ5000:RNH,"MENU"%7}HSP:CL$:CO,0,89:"One mo)51:AFT,3:CO,0,0:"Level "CN$(L$,Z51,5)CO$:W(REED,AD%(P7),L%(P7)AD:AAADj(N(AD):Z1N(X%(Z)XX(AA1)(Y%(Z)YY(AA2)(X1%(Z)(AA3)X%(Z)(Y1%(Z)(AA4)Y%(Z)(C%(Z)(AA5)(AAAA5:Z:) VSP,8:WIND,20,20CEL: PPPPPPPP pp(p  @@@h @ @ @ p p @ @ p p8800:TRY48600NW5:WIND,W,20:CL$"You have tried 48 different pool tables. The data chart is filled.":CO,W,100:"Do you want to start again? ";:36000:Z$"Y"TRY0:510*XWIND,20,20:CL$:CO,20,100:"Do you want to continue collecting data from other pool tables? ";:36000:Z$"Y"510bCL$:CO,20,70:"Now write some rules to predict the number of bounces and the final pocket for any size pool table.":9000l31000CL$:CO,0,90:"One moment please...":.@OPEN,"INK.BIN":REED,1301,22334590274:SOUND((34812274)):CLOSE:4c1X,Y:PXOX:PYOY:OXX:OYY:XXXD:YYYDxXXLS1:8700XXRS2:8700YYBS3:8600YYTS4:8600PICBPIC1ı1OX,OY:PX,PY:SNKı8110 M :CO,XL1,YT1:CN$"0":CO,XR8,YT1:"1":CO,XL1,YB8:".":CO,XR8,YB8:"/"CO$ PICįCO,XL9,YT9:"D":CO,XR9,YT9:"C":CO,XL9,YB9:"A":CO,XR9,YB9:"B"& l v IXLXR12:I,YT2I,YT:I,YB2I,YB:I  IYTYB10.5:XL2,IXL,I:XR,IXR2,I:I   SNK0:XLXCL6:XRXCL6:YT86W5.25:YB86W5.25:OXXL:OYYB:PXXL:PYYB:XXL:YYB:XDSPD:YDSPD.875 BOX,XL,YT,XR,YB,1:BOX,XL,YT,XR,YB,30 I01:XLI,YTXRI,YTXRI,YBXLI,YBXLI,YT:I 4!9!SNK0:ZX:(CL(XR)CL(XL))8590,>!CL(XR)8550GH!ZY:CL(YT)P4:8580^R!CL(YB)P1:8580h\!8590f!ZY:CL(YT)P3:8580p!CL(YB)P2:8580z!8590!SNK1:SOUNDāI10505:PLAY,I,5:!!!YDYD:8500:SNK8640-!BB1:CO,XXD(S),YYD(S):B:PICįCO,XR44,89:B" "C!SOUNDįPLAY,30,2I!O!j"XDXD:8500:SNK8740"BB1:CO,XXD(S),YYD(S):B:PICįCO,XR44,89:B" ""SOUNDįPLAY,30,2$"."BB1:CO,XXD(S),YYD(S):B:PICįCO,XR44,89:B" "`"j"CL$:CO,123,0:"CHART":CO,228,11:"Final":CO,22,20:"Base":CO,88,20:"Height":CO,159,20:"Bounces":CO,224,20:"Pocket"t"22,2948,29:88,29131,29:159,29208,29:224,29266,29:N(TRY16):MTRYN16:N8840y~"I0N1:K0:J(I16)1I1616:KK1:YK930:CO,28,Y:L%(J):CO,98,Y:W%(J):CO,174,Y:B%(J):CO,238,Y:(64P%(J)):J:SPACE:BOX,0,30,279,191:I"MK0:IN161N16M:KK1:YK930:CO,28,Y:L%(I):CO,98,Y:W%(I):CO,174,Y:B%(I):CO,238,Y:(64P%(I)):I:SPACE" " "AFT,3:CL$;"Here is the problem":CO,0,40:"Find a "CN$"PATTERN"CO$" that"CC$:"relates the pool table"CC$:"dimensions to the"CC$ ""number of bounces"CC$:"and to the"CC$:"final pocket."CC$:BL30:BR240:BU20:BD150:9200:9000O!"CL$:CO,0,40:"Use these patterns to"CC$:CN$"PREDICT"CO$CC$:"the number of bounces"CC$!""and"CC$:"the final pocket"CC$:"for "CN$"ANY"CO$" size pool table."CC$:9000:!(#CA$:SPACE:!<#C1ĺCL$!F#!# "#BOX,110,15,270,115:BOX,10,115,260,180:"#"#Z0:Z13:5:ZZZ101:BLZZ,BUZBRZZ,BUZ:BRZ,BUZZBRZ,BDZZ:BRZZ,BDZBLZZ,BDZ:BLZ,BDZZBLZ,BUZZ:ZZ1:ZZ"$ZZZ11:BLZZ,BUZZ:BRZZ,BUZZ:BLZZ,BDZZ:BRZZ,BDZZ:3:"%U#%CO,X,Y:Z$;:INP,(((MAX)),N),Y$:OP((Y$)):OPMINOPMAXįCO,10,182:"Enter a number from "MIN" to "MAX" please.":9710k#%CO,10,170:CEW:q#H&#R&CO,X,Y:Z$;:INP,(1,"-AD"),Y$:Y$"A"Y$M$įCO,10,182:HSP,1:"Enter a letter from A to "M$" please."CC$:HSP,2:9810$\&CO,10,182:CEL:M$yVSP:CL$CO$:CO,0,90:"Do you want to try again? ";:36000:Z$"Y"Ĭk$,yZ$"N"İ5000:RNH,"MENU"~$DB:GCP,ZX,ZY$CO,ZX,ZY:CEL:INP,(3,"YESNO"),Z$:Z$(Z$,1):Z$"Y"Z$"N"įCO,20,182:"Type in yes or no please.":36020%CO,0,182:O,0,182:CEL:WIND,BL,BU,BR,BD: PPPPPPPP pp(p  @@@h @ @ @ p p @ @ p p@ @ p p0 PPPPPPPP pp(p  @@@h @ @ @ p p @ B  P.S.S.MENU'P.BOUCHARD9((C)MECC,1984L2 84/09/26NAMW15128CA$(1):CC$(3):D$(13)(4):CL$(12):CN$(14):CO$(15)MT13:ML37:SP0P(S)(S)(S1)256RFL,"TITLE.PFT"15128LNP4:DP27 `TITLE$"P@[`{~ @BOHOOUNHOOCECRDFAFPARSNOJUSJUSCNNOCNGCDVSHSSPACCEPAUSCWININjymmfkUkxkkkkkkkdkk#lmcmmm n`lllll~~~0` pvv0`0``0`000`~<~0000`` 0`xx0p0000xx 8` 8 x8x x<`x 0```xxxx| ```0``0`00`x000||0xxx||````` xxxxlxx x000000xx0x0xx0000 0``0 0x`0x |||| ||x|8l````|| x````8p`````lxx|| |x ````l8|x0x0x| x0`0````0``0``v000ou to select one of these maps for the students to color. A "; QU$"TOP TEN"QU$" list of players with the best (lowest) scores is kept for the map you choose.":9000:VSP:4!>!WIND:VSP:CL$CN$"THINKING WITH INK"CO$CC$::"Management Options"CC$::WIND,20,20:""HSP,0:VSP,0::ZL((A%(Z)))5:BOX,X1%(Z)ZL1,Y1%(Z)9,X1%(Z)2,Y1%(Z)2,4:CO,X1%(Z)ZL2,Y1%(Z)9:CP$A%(Z):VSP,4:HSP:(#2#:SPACE<#CL1ĺCL$F#%&%Z1N:7800::0%Z1N:7800:8900::%%CO,X,Y:INP,(((MAX)),N),Y$:OP((Y$)):OP1OPMAXįWIND:CO,10,182:"Enter a number from 1 to "MAX" please.":WIND,20,20:9710%WIND:CO,10,182:CEL:y"yCLOSE:VSP:CL$CO$:CO,0,90:"Do you want to try again? ";:36000:Z$"Y"Ĭ,yZ$"N"İ5000:RNH,"MENU" 3DB:GCP,ZX,ZYCO,ZX,ZY:CEL:INP,(3,"YESNO"),Z$:Z$(Z$,1):Z$"Y"Z$"N"įCO,20,182:"Type in yes or no please.":36020CO,0,182:CEL: PPPPPPPP pp(p  @@@h @ @ @ p p @ @ @ p pEDB:GCP,ZX,ZYCO,ZX,ZY:CEL:INP,(3,"YESNO"),Z$:Z$(Z$,1):Z$"Y"Z$"N"įCO,20,182:"Type in yes or no please.":36020CO,0,182:CEL: PPPPPPPP pp(p  @@@h @ @ @ p pDTDT`@@@@@``@ @@ @ @ @@@ @@@@@@@@ @@@@@@@ @ @ ` `@ @@@@@@` @@@@ @@ @ @ @@@`@````ࠠ@@@` @ࠠ@@@``@ @@@@@@@ࠠ@@@@ @`@@@`@ @@@@@ ```` ``@` @@@``@@ ` @@@ࠠ@@`` `@@@@`@ )C<<>..,#$#$66.)-??LI$$,ۅ3     ɛ MBpBp0LDpBpɈTPɿɯ,p 詍0@ɍp7,p pCp) }pCp9p Џ pLo ` ֩PyQ AL }ppp`uptp Uptpup` ~L_pH)hJJJp`LANCS AZ09!/:ug` fffffffffl6iɆpqs 0 000000 0 0Z<|~~6f~~~ ~~~~~~ 0`0  0  0 ~~<~>>gccccg>>~~~~|~~~{~~~f<ff<12:" Direct inquiries to:"::" "CC$;:GCP,ZX,ZYH:WIND,ZX,ZY,279:CO:"MECC Distribution":"3490 Lexington Avenue North":"St. Paul, Minnesota 55112":"(612) 481-3527"R30000:CL$:WIND 8VSP,4:CL$:::"Use of ESC Key"CC$::"You may want to quit in the middle of a program. If so, press the ESC (escape) key twice whenever the computer is waiting for you to type."WIND:VSP:30000:(#)-#CA$;:16368,0:GCP,ZX,ZY:WIND,ZX,ZY,250,ZY12:DL$(127)P2#DL$:CO,ZX,ZY:9100:AZ:A19070h<#A49A(48N)9010{F#(A);DL$;CA$;P#9100:Z139070Z#Z8Z127įCO,ZX,ZY:CEL:9010d#9040n#AA48:A1A1x#XX(XX)#:*#ZL11:XX(1):Z(16384):ZL(Z127)::ZZ128:16368,0:00uA:u:SPACE::PyCL$:2020}}ZE(222):ZN(218)(219)256:ZE255Ĭ}CO$CL$:WIND:HSP:VSP:CO,0,80:ZE6ĺ"Error: File not found.";:32100}ZE8ĺ"I/O Error.";:32100"(}ZE0ZE16ĺ"DOS  the problem.":9200:90005:"Try to imagine what a picture"::"of a dodecagon would look like.":::" Think about a clock face,"::" which has 12 numbers.":90004W10:WIND,W,20,279:VSP,2:AFT,1,6:CO:Z$"Which of these shows a picture oj2 PROG.DIAGONALS-B/DEVELOPERL.EDWARDSIPROGRAMMERR.ERICKSONV( CR1983j2 LM85/02/25DMQvi230,64n16384:SX(6,12),SY(6,12),X(12),Y(12):D$(13)(4):CL$(12):CN$(14):CO$(15):CA$(1):CC$(3) pD$"BLOAD ASCII BOLD.PFT,A36790":DFT,6,36790) sAFT,1,0:CO$:VSP,1 xR(I)(I(10P).5)10P:P0:H(I)((228)I)0((228)0)I:LE$"IHGFEDCBALKJ":MM$"M":Z$"DIAGONALS-":Z$(2)Z$"T&E":Z$(3)Z$"EXH":Z$(4)Z$"SIM" SH06:SX(SH,12):PXY0SX(SH,12)1:SX(SH,PXY),SY(SH,PXY):PXY:SH 12,15,70,24,87,42,97,62,97,79,87,89,70,89,50,79,32,62,22,42,22,24,32,15,50,12,15,70,27,91,49,104,74,104,95,91,108,70,108,45,95,23,74,10,49,10,27,23,15,45,6,40,100,62,112,84,100,84,76,62,64,40,76 12,160,97,167,110,180,118,195,118,208,110,216,97,216,83,208,70,195,62,180,62,167,70,160,83,10,40,150,49,162,63,167,77,162,86,150,86,135,77,123,63,118,49,123,40,135,8,157,157,171,171,191,171,205,157,205,137,191,123,171,123,157,137) 12,100,140,110,157,127,167,147,167,165,157,175,140,175,120,165,103,147,93,127,93,110,103,100,120 / : 24576 W20:WIND,W,W:CL1:9020:3:X50:Y110:N12:L45:9500:9600:9000 "DIAGONALS"CC$:CO,20,120:"Have you used this program"::"before? ";:36000:Z$"N"OP1:250O 9020:"You may choose to start at":::" 1. The Beginning"::" 2. The Trial and Error section": " 3. The Exhaustive Listing":" section"::" 4. The Simplifying section"::" 5. Return to the menu"Y156:X188:MAX5:CO,20,Y:"What is your choice? ":9700:0,OPOP300,260,260,260,27065000:D$"RUN"Z$(OP)O5000:D$"RUN HELLO"U,69020:"Here is a question for you:":BL21:BR259:BU52:BD140:9200@CO,45,76:CN$"What is the total":CO,45:"number of diagonals":CO,45:"in a dodecagon? "CO$:9000JAFT,3::"Before you can begin to solve"CC$::"this problem, you must be"CC$::"sure you "CN$"UNDERSTAND"CO$" it."CC$TCO,20,150:AFT,3,6:"(Say d^@dek'@a@gon)"CC$:AFT,3,0:CO,20,120:"Do you know what a "CN$"DODECAGON"CO$:CO,20,136:"is? ";:36000:Z$"Y"400^AFT,3:CL$::"A "CN$"Dodecagon"CO$" is a "CC$::"geometric figure"CC$::"with"CC$::"12 sides"CC$::"and"CC$::"12 vertices."CC$::BL54:BU30:BR220:BD145:9200:90006h"The first part of the word"CC$::CN$"Dodecagon"CO$" helps you remember"CC$::"the number 12."CC$r12:CN$"Do"CO$" means "CN$"2"CO$" (as in duo or dual.)"::CN$"Dec"CO$" means "CN$"10"CO$" (as in decimal.)":9000B9020:"A "CN$"Dodecagon"CO$" is a"CC$::"geometric figure."CC$::Y134:X150:MAX20:CO,20,116:"How many sides does a"::"dodecagon have? "W9700:OP12450AFT,3::CO,20,160:"No, a dodecagon does "CN$"NOT"CO$" have":CO,20,170:OP" side";:OP1ĺ"s";". Try again.":9700hOP12İ9020:AFT,1:5:CN$"Good!"CO$CC$::"Now you know a shape"CC$::"with 12 sides is called a"CC$::CN$"Dodecagon"CO$CC$:9000:4709020:"The names of geometric figures"::"can be confusing." BOX,40,75,235,113,3::8:"A dodecagon does not"CC$::"have "(OP)" side";:OP1ĺ"s";O"."CC$:::14:"Let's define a "CN$"Dodecagon"CO$".":9000:350AFT,1:9020:CN$"Good work!"CO$CC$::"You really know your"CC$::"geometric figures."CC$0AFT,3:13:"A "CN$"Dodecagon"CO$" has 12 sides."CC$::"It also has 12 vertices."CC$:BL30:BR250:BU120:BD160:9200:9000:"Whenever you are working on"CC$::"a problem, try to"CC$:::BOX,75,70,200,85,3:"draw a picture."CC$:BL40:BR236:BU116:BD150:CO,50,125:"A picture can help you"::CO,50,135:"understand                 :"that you might wish there"::"were another method to try.":9000f5000:D$"RUN DIAGONALS-SIM"CL$:CEW:CO,0,90:"One moment please...":(# 2#WIND::SPACE<#CL1ĺCL$P#WIND,WL,WU,WR,WD:CO:# #BOX,145,10,279,191:913 PROGDIAGONALS-EXH/DES.BYLOISEDWARDSFPROG.BYR.ERICKSON](COPYRIGHTMECC1983q2L.M.8/20/84PWHwdi230,64:24576n16384:SX(1,12),SY(1,12),X(20),Y(20),MA%(9,11):D$(13)(4):CL$(12):CN$(14):CO$(15):CC$(3):3 sAFT,1:CO$` xH(I)((228)I)0((228)0)I:DO(I)73I(I73)12:LE$"IHGFEDCBALKJ":MM12:VSP S01:SX(S,12):I0SX(S,12)1:SX(S,I),SY(S,I):I:S:S210:MA%(0,S)1::P19:SP211:MA%(P,S)1:: 12,10,100,25,126,51,141,81,141,107,126,122,100,122,70,107,44,81,29,51,29,25,44,10,70,12,10,100,27,130,57,148,92,148,122,131,140,101,140,66,123,36,93,18,58,18,28,35,10,65  WU20:WL10:WD170:WR260:WIND,WL,WU:CO,10,40:"Let's look at another method of"::"solving this diagonal problem.":CO,10,100:"It's called" ::CN$;7);"Making an":" Exhaustive Listing"CO$:BL25:BR230:BU120:BD160:9200:CL1:WL10:9000:AFT,3 "To solve a problem by making an"::"exhaustive listing, you":CO,10,80:"Write down or draw in "CN$"ALL"CO$" the": "possible parts of the problem in"::CN$"AN ORDERLY MANNER"CO$".":BL0:BU72:BR270:BD130:9200:WL10:WR270:9000 CO,WL,50:"It is called an "CN$"EXHAUSTIVE"::"LISTING"CO$" because you exhaust "CN$"ALL"CO$:l "the possibilities in your listing."::"That is, you use up or write down"::CN$"ALL"CO$" the parts of the problem.":9000/"The solution to the problem may"::"then be the listing itself or"::"the total number of possibilities"::"listed.":::"Let's see how this works in the"::"dodecagon problem.":9000AFT,1,6:WIND:CO:"Here is the dodecagon again.":Z0:9540:9530:Z1:Z$LE$:9550:WL145:WU10:WR279:WD180:WIND,WL,WU,WR,WDCO:VSP,3:"To use exhaustive listing to find out how many diagonals there are, you will ";""have to name "CN$"ALL"CO$" the diagonals."::"Then the computer will draw them in and count them for you.":CL0:9000:9100:BOX,0,0,279,99,:"Hint..."::CN$"BE SYSTEMATIC!"CO$:::"List "CN$"ALL"CO$" the diagonals from each vertex before moving to the next vertex.":9000:91006AFT,2::::"Let's start with vertex A."::"The first two diagonals are "CN$"AC"CO$" and "CN$"AD"CO$"."@MA%(1,1)1:MA%(1,2)1:Z$"AC":9570:Z$"AD":9570:9000:9100J9300rTFL1:9800:ND9ER1:9120::"Check the drawing.":"Not all the diagonals from A are listed yet.":"Keep listing!":340^9120:9100:CO$"Good work!":"You've listed all the diagonals from A."::"Now let's go on to the diagonals from B, C, and so on.":WUWU8:9000:9100hAFT,3:94009rFL0:9800:ND54400|9020:BOX::"You're getting close! There are still some diagonals that you haven't listed."::"Do you want to go back and fill in the missing diagonals? ";:WIND:36000:WIND,WL,WU,WR,WD:Z$"Y"İ9400:370AFT,3,0:VSP:CL$:WL20:WU20:WB170:WR250:9040:CO,20,37:"There are 54 diagonals"CC$::"in a dodecagon."CC$:BL39:BR230:BU30:BD70:9200$CO,20,120:"Hopefully, after doing this"::"exhaustive listing, you're not"::"too exhausted to go on!":CL1:9000d:"When you make an exhaustive"::"listing...":::AFT,3WIND,32:CO,32:"*"::"*":::"*"CN$:WIND,47,WU:CO,47,74:"WORK SYSTEMATICALLY"CO$::CN$"DON'T LEAVE OUT ANY":"PARTS"CO$:9700::CN$"DON'T NAME ANY PARTS":"TWICE"CO$'9000:9040WR265:9040:CO,WL,50:CN$"EXHAUSTIVE LISTING"CO$" works best"::"to solve problems in which the"::"list isn't too long.":9000ECO,WL,50:"This diagonal problem had a"::"long enough list of diagonals":        :9560:Z11:Z23:9560::CO,135:"are diagonals."|CO,135,110:"A quadrilateral"::CO,135:"has diagonals.":162,142182,142:MAX9:X169:Y132:9700mBOX,0,0,279,60:OP2įBOX,130,65,270,160:CO,135,70:CN$"AC"CO$" and "CN$"BD"CO$::CO,135:/ DIAGONALS-SIM(DEVBYL.EDWARDS:BYR.ERICKSONK((C)MECC1983^2LM84/08/09PWHddwi230,64:24576n16384:SX(6,12),SY(6,12),X(20),Y(20):D$(13)(4):CL$(12):CN$(14):CO$(15):3:CC$(3):CJ$(10):CH$(8):SS$CO$", "CN$ sAFT,1:HSP,2:CO$ xH(I)((228)I)0((228)0)I:BR$CN$"!"CJ$CH$(34)CJ$CH$"#"CJ$CH$"$"CO$:M12:VSP:WIND S06:SX(S,12):I0SX(S,12)1:SX(S,I),SY(S,I)::@ 3,28,92,112,144,56,48,4,21,132,112,136,112,80,35,92,5,10,120,62,137,94,94,62,49,10,66,6,20,120,63,145,106,120,106,70,63,45,20,70 4,17,137,123,148,125,72,30,88,5,9,120,70,144,110,100,70,40,9,58,6,19,117,70,152,120,117,120,67,70,37,19,67W I09:F$(I),F(I):: "Triangle",0,"Quadrilateral",2,"Pentagon",5,"Hexagon",9,"Heptagon",14,"Octagon",20,"Nonagon",27,"Decagon",35,"Undecagon",44,"Dodecagon",54 I04:Z1$(I),Z2$(I):: "You must have","added incorrectly.","Oops! You","misadded.","It's easy to","add incorrectly.","Not quite!","","Almost!","" W20:WIND,W,W:AFT,1:HSP,2:CL$::"Let's tackle this diagonal"::"problem again, trying a method"::"which doesn't involve making a"::"long exhaustive listing." CO,20,120:"This method is called:":::CN$" SIMPLIFYING THE PROBLEM"CO$:BL20:BR266:BU141:BD161:9200:CL1:9000 "To simplify a problem, you can"::CO,20,70:AFT,3:" * Use simpler words or":" numbers to help you":" understand the problem":" better.":BL20:BR250:BU63:BD110:9200:9750{::" * Look at smaller examples":" of the problem and then":" find a pattern which":" leads to a solution.":BU118:BD163:9200:9000"For example, the problem:":CO,34,50:"What is the total number of":CO,34,60:"diagonals in a "CN$"DODECAGON?"CO$:BL25:BR255:BU43:BD72:9200gCO,20,87:"might be easier to understand"::"if it were simplified this way:"CO,34,130:"What is the total number":CO,34,140:"of diagonals in a "CN$"12-SIDED":CO,34,150:"FIGURE?"CO$:BL25:BR255:BU122:BD162:9200:9000u"Now that we've "CN$"SIMPLIFIED"CO$" the"::"wording of the problem, let's"::"count the number of diagonals"":"in some simpler figures.":::"Then we can see if there is a"::CN$"PATTERN"CO$" in the number of"::"diagonals.":9000,W0:WIND,W,W:CO,W,50:"If there is a "CN$"PATTERN"CO$", we can"::"predict the number of diagonals in"::"a dodecagon without having to draw"::"them all in and count them.":9000Z6CO,W,50:CN$"SIMPLER"CO$" figures have fewer sides"::"than a dodecagon.":CO,0,100:"Let's start with a "CN$"TRIANGLE"CO$"."CC$::"It has 3 sides."CC$:9000@AFT,3,6:Z0:9540:9530:WIND,130,20,279,190:CO:"Remember... a"::"diagonal joins 2"::"vertices, but "CN$"CAN'T"CO$::"be a side of the"::"figure."mJCO,130,120:"A triangle has"::" diagonals.":130,152150,152:X137:Y142:MAX9:9700:AFT,3,0:OP0350ETW10:WIND,W,W:CL$"Good try. However, there's no"::"way to join two vertices of a"::"triangle without getting a "CN$"SIDE"CO$::"of the triangle. There are "CN$"NO"CO$::"diagonals in a triangle.":9000 ^W15:WIND,W,W:CL$"A "CN$"TRIANGLE"CO$" has 0 diagonals.":::"Let's enter that in a chart to"::"help keep track of the number"::"of diagonals in the simpler"::"figures we use.":9000hAFT,2,0:Z0:9120:9000:WIND:CO::"Now let's look at a "CN$"QUADRILATERAL"CO$"."::"That's a 4-sided figure.":AFT,2,6:WIND,20,20:Z1:9540:9530:Z$"DCBA":Z4:95502rH127:CO,135,70:AFT,2:CN$"AC"CO$" and "CN$"BD"CO$:Z1:Z10:Z22               ,166:"5 Largest"PZ0:I24:X121:Y116(I10):9700:ZZ(OPI)::Z3500BOX,0,80,279,191:I24:CO,10,120:"There are squares with a side of"::I" units.":USI:II15:UXRA(6US)1:UYRA(6US)1:JI15:9800:JI:II:9000:ICL$:X SQUARES-B$DEVBYL.EDWARDS6BYR.ERICKSONG((C)MECC1983Z2LM84/08/20PWHtd230,64:24576:16384nD$(13)(4):CL$(12):CN$(14):CO$(15):CH$(8):CJ$(10):QU$(34):SS$(1)"s":SS$(2)"is":SS$(3)"are":CC$(3)sAFT,1 xRA(I)((1)I) 31 (900)0(900)4275T WIND,10,10:AFT,4:CN$:900,0f M511:Z0 NRA(5):S(M,N)210 S(M,N)1:X113M8:Y70N8:XX0:YYRA(192):XS(XXX)20:YS(YYY)20L OX0:OY0:I118:CO,OX,OY:" ":XXXXXS:YYYYYS:CO,XX,YY:"#":OXXX:OYYY:I:CO,OX,OY:" ":CO,X,Y:"#":ZZ1:Z5210Z M:AFT,1 CO,0,10:" SQUARES"CO$CC$:CO,20,140:"Have you tried this program"::CO,20:"before? ";:36000:Z$"N"300g BOX,0,0,279,65:BOX,0,120,279,190:CO,10,40:"Remember that the question is...":CO,10,136:CN$"How many squares are"CC$:"there in this grid?"CO$CC$ BL35:BR248:BU130:BD166:9200:CL1:9000C VSP,2:W0:WIND,W,W:CL$:"These three strategies may help you"::"solve this problem. You can choose"::"any one of them now and others"::"later if you wish.": :AFT,3:CN$" 1. TRIAL AND ERROR"::" 2. EXHAUSTIVE LISTING"::" 3. SIMPLIFYING THE PROBLEM"CO$::"or "CN$"4. Return to the menu"CO$4 "Y171:X128:MAX4:MIN1::CO,20,Y:"Which number?":9700:2060,OP:OP7000,7010,7020,295= #290T '900,0:RNH,"MENU" ,C1:9020:GS5:X120:Y70:9600:CO,20,146:"How many squares do you see in"::Y162:CO,20,Y:"this figure?":X114:MAX100:MIN0:9700:PL(OP1)6@9020:Z(OP26)(OP25OP55)2(OP55)3(OP55)4:Z330,340,350,360J"Good, but there "SS$(PL2)" even more"::"than "OP" square"SS$(PL)" in this grid.":370T"Good, you've found more squares"::"than most people see on their"::"first try.":370w^WIND,10,10,279:"Very good. Either you are an"::"excellent problem solver or you've"::"solved this problem before.":370h::"That seems like a wild guess."rCO,10,120:"Do you want to see some methods"::CO,10,140:"for solving this problem? ";:36000:Z$"N"31020|WIND,0,10:9020:X200:Y20:9600:CO:"First ask yourself some"::"questions to find out"::"what you know about"::"this figure."CO,0,120:"Like "QU$"What do we mean by 'square'?"QU$::"or "QU$"Which squares should we count?"QU$:9000X120:Y20:9600:CO,5,120:"Let's label the figure.":AFT,4:CO,180,35:CN$"%& "CO$"Grid":CO,5,135:"The whole figure is called a "QU$"GRID."QU$:C0:9000LCO,5,150:"The length of one segment of a side":CO,5,165:"is called a "QU$"UNIT."QU$:CO,160,20:CN$"%&"CO$" Unit":CO,65,52:"Unit "CN$"&$"CO$:9000BOX,0,0,119,100:BOX,160,0,279,100:9100:W5:WIND,W,W:CO:"Here are more"::"questions to":H"help you "::"understand the"::"problem.":CO,5,130:"Look for the smallest size square."::"What is the length of its"::"side? units"X50:Y166:9700:OP1įBOX,0,0,115,100:9100:CO,W,140:"Look again. The side of the"::"smallest square is 1 unit.":US1:UX1:UY1:I110:9800::9000cBOX,0,0,119,100:9100:CO,W,120:"Look for the biggest square."::"What is the length of its"::"side? units"X50:Y156:9700:OP5İ9100:CO,W,140:"Look again. The side of the"::"largest square is 5 units.":US5:UX1:UY1:I110:9800::9000l9100:W10:WIND,W,W:CO,W,140:"Are there any squares with"::"sides between 1 and 5 units? ";:36000:Z$"N"4909100:CO,10,80:"What are the lengths of the sides"::"of these in-between squares?":CO,100,110:"Length":CO,121,126:"1 Smallest":CO,121        CL$:CO,0,90:"One moment please...":.!>"Z51T::D(#V2#CA$:SPACE:d<#C1ĺCL$jF#p##Z0:Z13:2:ZZZ101:BLZZ,BUZBRZZ,BUZ:BRZ,BUZZBRZ,BDZZ:BRZZ,BDZBLZZ,BDZ:BLZ,BDZZBLZ,BUZZ:ZZ1:ZZ7$ZZZ11: PROGSQUARES-T&E,DEVBYLOISEDWARDSDPROGBYRUSSERICKSON[(COPYRIGHTMECC1983n2LM84/08/08PWHd230,64:24576 n16384:D$(13)(4):CL$(12):CN$(14):CO$(15):CH$(8):CJ$(10):3:QU$(34):SS$(1)"s":SS$(2)"is":SS$(3)"are":CC$(3):AFT,1 xVSP:WIND! { C1:CO,0,10:CN$"TRIAL AND ERROR"CO$CC$:CO,20,40:"The trial and error method can":? CO,50,70:AFT,3:CN$"Help you get started":CO,50:"solving a problem.":CO,50,100:"Lead you to a better":CO,50:"method."::CO,50,130:"Solve some kinds of":CO,50:"problems."CO$:AFT,1 BL43:BR212:BU65:BD92:9200:BU95:BD122:9200:BU125:BD152:9200:9000` CO,20,30:AFT,3:"But, the trial and error method"::CO,20:"can also":CO,50,70:CN$"Take a lot of time."::CO,50,100:"Make you feel frustrated."CO$:AFT,1:BR252:BU65:BD83:9200:BU95:BD112:9200 AFT,3:9000:W0:WIND,W,W:9300::"To use trial and error method, you"::"need to have a way of knowing"::"when you have guessed the correct"::"answer.":9000 "In this problem it is easy to"::"guess a number of squares, but very"::"hard to check if your guess is"::"correct --- unless the computer"::"helps you." :"It's hard to know if you've"::"found "CN$"ALL"CO$" the squares.":9000 "The computer program has been"::"told how many squares there are."::"It will tell you whether your"::"guess is correct or not.":9000J""It will also tell you whether your"::"guess is too high or too low, so"::"that you can make your next guess"::"even better.":CO,W,140:"Do you want to try guessing the",CO,W,160:"number of squares? ";:36000:Z$"N"47056CL$:MAX100:X120:Y60:GS5:9600:Y120:CO,W,Y:"How many squares are there?":X226:9700:BOX,0,110,279,191:AFT,3:PL(OP1):Z(OP55)(OP55)2(OP55)3:Z320,330,340@CO,20,120:"There "SS$(PL2);CN$" MORE"CO$" than "OP" square"SS$(PL)".":350JCO,20,120:"There "SS$(PL2);CN$" FEWER"CO$" than "OP" square"SS$(PL)".":3503TCO,0,120:"You are right!"CC$::"There are 55 squares in this grid."CC$:9000:360^CO,20,140:"Do you want to try another"::CO,20,160:"guess? ";:36000:Z$"Y"310c450-hCL$"Now that you have solved this"::"problem using trial and error,"::"see if you can solve a similar"::"problem by using what you learned."rAFT,1:CO,W,100:"Using the same ideas to"CC$::"solve another problem "CC$::" is called "CC$::CN$"GENERALIZATION "CO$CC$|BU94:BD172:BR240:BL38:9200:9000CO:"Here is a 6 x 6 grid.":X115:Y40:GS6:9600AFT,3:CO,W,100:"How many squares are there?":Y100:X230:9700:BOX,0,90,279,191:OP91įCO,20,120:CN$"That's right!"CO$CC$::"There are 91 squares."CC$:9000:420lCO,20,100:PL(OP1):"No, "OP" square"SS$(PL)" is not correct.":CO,20,120:"Do you want to try another":CO,20,140:"guess? ";:36000:BOX,0,90,279,191:Z$"Y"400AFT,3:CL$:"The "CN$"TRIAL AND ERROR "CO$"method does"::"not help you "CN$"generalize"CO$".":W:"Solving one problem by "CN$"TRIAL AND"::"ERROR"CO$" does not make it easier to"::"solve another similar problem.":9000:"Without clues to tell you how good"::"your guess is, it is difficult"::"to make your next guess any"::"better.":9000CL$:CN$"TRIAL AND ERROR"CO$" is sometimes"::"not the best method to use to"::"solve a problem.":CO,W,120:"Do you want to explore this"::"problem using a different"CO,W,154:"strategy? ";:36000:Z$"Y"480900,0:5000:RNH,"MENU"900,1:5000:RNH,"SQUARES-B"(       W0:WIND,W,W:CO,W,100:"the information collected"CC$::"during exhaustive listing can"CC$::"provide an extra bonus."CC$BL20:BR256:BU95:BD150:9200:90003CO,W,20:"Can you see a pattern"::"in the numbers you":CO,W,54:"added on th% SQUARES-EXH(DEVBYLOISEDWARDS@PROGBYRUSSERICKSONW(COPYRIGHTMECC1983l2L.M.84/09/14PWHd230,64:24576 n16384:CM$(13):D$CM$(4):CL$(12):CN$(14):CO$(15):CH$(8):CJ$(10):3:QU$(34):SS$(1)"s":SS$(2)"is":SS$(3)"are":CC$(3):AFT,1! xVSP:WINDF I05:AN(I):I:36,25,16,9,4,1 1022,2:C1:CO,0,10:CN$"EXHAUSTIVE LISTING"CO$CC$:AFT,3:W10:WIND,W,Wn CO,20,40:"The exhaustive listing method can":CO,50,80:CN$"Help you understand the":CO,50:"problem.":CO,50,120:"Help you find all the":CO,50:"possibilities and count":CO,50:"them to find the answer."CO$ BL43:BR245:BU75:BD103:9200:BU115:BD150:9200:9000& CO,20,40:"But exhaustive listing can also":CO,50,80:CN$"Take a long time.":CO,50,110:"Make you confused as to": CO,50:"whether you've counted":CO,50:"one possibility twice or":CO,50:"missed a possibility."CO$ BL43:BR245:BU75:BD93:9200:BU105:BD150:9200:90005 W5:WIND,W,W:CO::"The computer can help you speed up"::"the listing and counting process.": CO,W,100:"A "CN$"CHART"CO$" can help keep track"::"of the items we list, to avoid"::"confusion.":90007 :"Making a "CN$"CHART"CO$" often helps"CC$::"you see a pattern in the"CC$::"information you collect"CC$::"about a problem."CC$:9000 WIND::"When you find a "CN$"PATTERN"CO$CC$::"you often can see how to"CC$::"solve the problem."CC$:CO,11,120:"CHARTS"'"BU114:BD132:BL5:BR61:9200:CO,67,120:AFT,4:CN$"&&$"CO$:CO,64,105:"show":CO,100,120:"PATTERNS",BL93:BR167:9200:CO,173,120:AFT,4:CN$"&&$"CO$:AFT,3:CO,159,105:"lead to":CO,206,120:"SOLUTIONS"CO$:BL199:BR279:9200:9000!6WIND,20,20:N5:P0:Q0:8800:CO:"A chart like the one below can"::"help you count the squares.":9000@W10:WIND,W,W:X120:Y20:GS5:9600:CO,W,120:"First we will count all the 1 x 1"::"squares, then fill in that"::"number on the chart.":C0:9000:9100:C1IEW0:WIND,W,W:CO,W,120:"If you already know how many 1 x 1"::"squares there are, type that"::"number. Otherwise press"FCO,W,172:"RETURN. ";:MAX100:9700:B1(OP25):W10:WIND,W,WJC0:USB4:B2MS5:Q0:B0:8550O9860:US1ĺCL$:X120:Y20:9600:CO,W,120:"Now count the "US" x "US" squares.":9000T9900:NSMSMSİ9100:CO,W,120:"Look again. Actually there are"::MSMS" squares of size "US" X "US".":9000^8540:US:C1:CC,0hCL$:X120:Y20:9600:CO,W,120:"Finally, how many 5 x 5 squares"brCO,W,136:"are there? ";:9700:OP1İ9100:CO,W,120:"Look again. There is just 1"::"square of size 5 x 5.":9000|Q4:MS1:C0:8540:C1:BOX,W,20,279,50:CO,W,20:"Now add the numbers in the"::"right hand column.":170,140200,140:CO,178,130:"+"LCO,142,145:"Total 55":C1:9000:AFT,3:CO,W:"From the "CN$"CHART"CO$" you know"CC$:"that the 5 x 5 grid contains"CC$::"a total of"CC$::"55 squares."CC$:9000'CO,W,20::"Exhaustive listing worked."CC$::::AFT,1:CN$"You solved the problem!"CO$CC$:AFT,3:BL10:BR270:BU55:BD85:9200tCO,W,120:"Hope you aren't too"CC$::"exhausted to continue."CC$:9000CO:"Often the information collected"::"on a chart shows us a "CN$"PATTERN."CO$:::"We can use this "CN$"PATTERN"CO$" to solve"::"similar problems."CO,W,130:"A "CN$"PATTERN"CO$" helps"CC$::"us "CN$"GENERALIZE"CO$"."CC$:BL70:BR208:BU117:BD167:9200:9000CO:"Exhaustive listing can be tiring"::"but it usually works well if it"::"is done carefully,"::"and"CC$                3:9900:NS4İ9100:CO,W,120:"Actually, there are 4 squares"::"of size 3 x 3. The computer will"::"outline them one by one.":8600:90009100:CO,20,120:"There is also one 4 x 4 square.":9000ICL$:X120:Y30:9600:CO:"So for the"::"N, SQUARES-SIM(DEVBYLOISEDWARDS:BYR.ERICKSONK((C)MECC1983Qddi230,64:24576n16384:CM$(13):D$CM$(4):CL$(12):CN$(14):CO$(15):CH$(8):CJ$(10):3:QU$(34):SS$(1)"s":SS$(2)"is":SS$(3)"are":CC$(3):CO$:AFT,1 xVSP:WIND1 I16:AN(I):I:1,5,14,30,55,917 900,3:MAX100:C1:CO,0,10:CN$"SIMPLIFYING THE PROBLEM"CO$CC$:AFT,3:WL20:WR260:WT20:WB191:WIND,WL,WT,WR,WB:9300o CO,10,50:"The simplifying method can:":CO,45,85:"Help you get started on":CO,45:"a similar problem.":CO,39,120:"Help you see a pattern to":CO,39:"use to solve the problem." BL37:BR231:BU80:BD108:9200:BL31:BR239:BU115:BD143:9200:9000~ CO,10,45:"But simplifying the problem can":CO,45,85:"Be difficult if you can't":CO,45:"think of how to simplify.":CO,45,120:"Seem like a long, slow":CO,45:"way to get the solution." BL38:BR238:BU80:BD108:9200:BU115:BD143:9200:9000: CO:"The simplest case of our"::"original problem of a 5 x 5"::"grid is a 1 x 1 grid.":AFT,4:CO,110,100:CN$"!"CO${ CO,20,140:"Clearly, it contains only 1"::"square.":9000 X110:Y50:GS2:CO,20,120:"Now consider a grid of just"::"2 units on each side. (2 x 2)":9600:C0:9000\ "9100:CO,20,120:"There are 4 small squares"::"(size 1 x 1) and 1 large square"::"(size 2 x 2).":9000 ,9100:CO,20,120:"The total number of squares"::"is 5. (4 + 1 = 5)":C1:9000 6N2:8800:CO:"We will keep track of"::"information on a chart.":9000]@X110:Y50:GS3:CO,20,120:"Now consider a grid 3 units"::"on a side.":9600:C0:9000J9100:CO,20,120:"There are now 9 small squares"::"(size 1 x 1) and 1 large square"::"(size 3 x 3).":9000*T9100:CO,20,120:"There are also some medium"::"size squares (size 2 x 2).":9000Y^GXX8:GYY8:US2:9800:9000:9600:9900hCL$:9600:Z$(1)"LARGE":Z$(2)"MEDIUM":Z$(3)"SMALL":CO:"So for the"::"3 x 3 grid,"::"there are"rCC,0:I311:X40:Y150I10:CO,X32,Y:ZZ4I:Z$(I)" squares ("ZZ" x "ZZ")":CO,X,Y:9700:OPIIįCO,20,170:"No, the answer is "II"."CC$:CO,X,Y:II" ":9000:CO,20,170:CEL:wI:CO,20,180:CEL|30,150220,150:CO,32,153:"14 Total squares":9000,N2:8800:CO:"Now add this total to the chart.":CO,20,116:"3x3":CO,185,116:Z$MAX100:MIN1:CO,100,116:9700:OP14İ9120:CO:"No, we found the answer to be 14.":CO,100,116:"14 ":9000(9120:WIND,10,20,270,191:VSP,4:CO:"Do you want to guess the total number of squares in a 4 x 4 grid? ";:36000:VSP:Z$"N"4509120:CO,20,20:"Enter your guess.":CO,20,128:"4x4":CO,100,128:9700:9120:CO:VSP,4OP30ĺ"No, that's not quite it. Let's go on and count the squares in the 4x4 grid.":9000:450\AFT,3:"Good! You have found a "CN$"PATTERN"CO$" already! Now guess the total number for a 5 x 5 grid."VSP:CO,177,128:"1+4+9+16":CO,20,140:"5x5":CO,100,140:9700:Z(OP55)(OP55)2:Z600,610%WIND,20,20,260,191:VSP:CL$:CO,20,120:"Here is the 4 x 4 grid.":GS4:X120:Y30:9600:9000w9100:CO,20,120:"How many 1 x 1 squares are"::"there? ";:9700:OP16480WIND,W,20,279,191:9100:CO,W,120:"Look again. There are 4 times 4"::"small squares. Or 16 squares.":9000US2:9900:NS9İ9100:CO,W,120:"Actually, there are 9 squares"::"of size 2 x 2. The computer will"::"outline them one by one.":8600:90009100:CO,W,120:"There are 9 squares size 2 x 2."::"Now count the 3 x 3 squares.":9000X120:Y30:GS4:9600:US                        calculate the cost and report it to you.":9000:9100:TTA%(Z)CO:8400:9000WIND,20,20:VSP,4:CL$:"As you continue to color other counties, the total cost will increase.":A"You can change the color of a box by coloring over it."::"Only thet0 THINKINGW/INK2:d230,64:24576:16384:X%(34),Y%(34),X1%(34),Y1%(34),C%(34),A%(34),CO%(12),M$(34),SC%(10),AD%(11),L%(11) xAD34590274:XP150:YP90:XD4:YD4:WL35:WR245:WT45:WB150:Z012:CO%(Z):Z: 4,6,25,5,26,15,7,66,82,79,68,80,871 }D%(1)132:D%(2)347:D%(3)341:D%(4)290 CA$(1):CL$(12):CN$(14):CO$(15):CH$(8):CJ$(10):CP$(16):CC$(3):L$"ONE TWO THREEFOUR HARD " P(Z)(Z)(Z1)256:H(Z)(Z256):L(Z)Z(H(Z)256)s 1:0:7:OPEN,"INK.BIN":Z011:AD%(Z),L%(Z):Z: 1301,223,0,60,60,60,120,81,201,60,261,325,586,303,889,250,1138,37,1175,37,1212,53,1264,37 REED,AD%(0),L%(0)AD:LM(AD221)6 VSP:W18:WIND,W,20:AFT,1:XX40:YY60:P5:7900:CL$:CO,20,0:CN$"THINKING WITH INK"CO$CC$:9500:ZZ13:Z1N:C%(Z)((1)51):9800:Z:ZZ:9000 VSP,2:BOX,0,40,279,191:P1:XX140:YY60:8100:9600:CO,W,68:"A color monitor":"or television is":"needed for this":"program." BL12:BR140:BU60:BD115:9200:CO,20,160:"Do you want instructions? ";:36000:Z$"N"500m WIND,10,20,270,191:CL$:VSP,8:AFT,3:CO,20,0:CN$"INSTRUCTIONS"CO$CC$> CO,20,40:"You are assisting your state mapping department in producing regional county maps."::"The counties' boundaries are all straight lines, so the counties look like boxes on the map.":9000:CL$ P4:XX20:YY20:W137:WIND,W,20,260,190:7900:9500:CO,W,20:"Your job is to color each of the counties."::"No two counties with a common border can have the same color."%BL130:BR260:BU77:BD145:9200:9000:BOX,130yCO:"Are these two counties colored correctly? ":Z34:C%(Z)3:9800:8800:Z"CO,222,52:36000:Z$"Y"įBOX,130:CO:"No, look again."::"These counties have a common border, so they cannot both be the same color.":9000,W0:WIND,W,20:CL$:"The cost of printing these colored maps depends on the color of the ink used."::"Here are the ink colors and costs:"6X40:Y120:8700:9000:CL$^J"Each box has a number which represents the area of that":"county.":Z1:X%(1)220:X1%(1)260:Y%(1)20:Y1%(1)60:A%(1)10:C%(1)3:7800:9800:8900:9000TVSP,8:CO,10,100:AFT,3:"The cost of coloring a county"CC$:"on the map is found by"CC$:CN$"MULTIPLYING"CO$CC$:"the area by the ink cost."CC$:9000^CL$:X110:Y0:8700:Z1:X%(1)20:X1%(1)60:Y%(1)20:Y1%(1)60:A%(1)18:C%(1)5:7800:9800:8900:Z2:X%(2)60:X1%(2)80:Y%(2)30:Y1%(2)70:A%(2)12:C%(2)3:7800:8900hZ1:C%(Z)5:Z118:Z25:7700:C%(Z)3:Z23:9800:8900:7700:C%(Z)0:9800:8900:Z2:Z112:C%(Z)3:9800:8900:7700irAFT,3:VSP,8:CL$;"Your job"CC$:"is to"CC$:"color the counties"CC$w"at"CC$:"the lowest"CC$:"possible cost."CC$::"You must color all"CC$:"of the counties."CC$:BL32:BR248:BU12:BD120:9200:9000D|WIND:VSP:CL$:8500:X110:Y0:8700:XX100:YY60:P4:7900:9500:WIND,10CO,10,137:"To color a county, use the I, J, K, and M keys to move the cursor to the box, then press the first letter of the color you choose. Press Q to quit.":90009100:CO,10,140:"Just for practice, move the cursor to the box with the number 12 and color it orange using the letter O.":A%(6)12:Z6:8900:9900:8600:BOX6CO3420?9100:BOX6įCO,10,137:"No, type the letter O for orange. Use the first letter of the color name and do not use zero in place of letter O.":9000:390CO,10,140:"No, the cursor must be inside the box you wish to color. Try again.":9000:390MZBOX:C%(Z)CO:9800:8900:9100:CO,10,140:"After you color a county, the computer will                           CO,10,184:"press the SPACE BAR.":16368,0:16384,128:16368,00BOX,0,YB17,279,191:CO,XR24,80:"Bounces":CO,XR34,108:"Final":CO,XR30,116:"Pocket":8100:CO,XR48,129:(64P):9000DTRYTRY1:L%(TRY)L:W%(TRY)W:B%(TRY)B:P%(TRY)P:Y POOLINGAROUND0LOISEDWARDS&R.ERICKSON>(MECC1983N284/3/19CPEhd230,64:24576:16384nD$(13)(4):CL$(12):CN$(14):CO$(15):CH$(8):CJ$(10):QU$(34):CC$(3)sAD34520274:233,(AD256):232,AD(AD256)256: xR(I)(I(10P).5)10P:P0:RA(I)((1)I):CL(I)(IZ)6 XD(1)16:YD(1)4:XD(2)6:YD(2)4:XD(3)3:YD(3)4:XD(4)3:YD(4)12 1:0:3:SPD3:TRY0 RACK$CN$"89:;"CJ$CH$CH$CH$CH$"<=>?"CJ$CH$CH$CH$CH$"@ABC"CJ$CH$CH$CH$CH$"DEFG"CO$* L%(48),W%(48),B%(48),P%(48)4 8000: AFT,4:WIND,20,20:XC130:L12:W8:8400:PIC1:8200:PIC0:CO,XL23,70:RACK$ CO,10,10:AFT,1:CN$"POOLING AROUND"CO$CC$:AFT,1 CO,20,160:"Do you want instructions? ";:36000:Z$"N"500r B0:VSP,1:AFT,4:CL$"You will be working with"CC$::"rectangular pool tables."CC$:L3:W5:8400:9000 CO,20,120:"This table has a base of 3 units and a height of 5 units.":CO,XR32,YT16:"Base: 3":CO,XR32,YT32:"Height: 5":8300* 9000:BOX,0,YT5,279,191:L6:W4:8400 CO,20,120:"This table has a base of 6 units and a height of 4 units.":CO,XR32,YT16:"Base: 6":CO,XR32,YT32:"Height: 4":8300:9000y AFT,3:BOX,0,120,279,191:CO,20,130:"You can change the dimensions. The "CN$"BASE"CO$" can be any whole number from 2 to 15. The "CN$"HEIGHT"CO$" can be from 2 to 14.":9000:AFT,4 BOX,0,0,279,YT12:BOX,0,YB20,279,191:BOX,XR12,YT,279,YB!CO,20,20:"Each corner of the table has a pocket. The pockets are labeled as shown.":8200:9000"CO,20,130:"Only one ball is used here. The ball will always be shot from corner A.":9000,BOX,0,0,279,YT12:BOX,0,YB20,279,191:BOX,XR12,YT,279,YB6CO,20,20:"The ball is always shot at a 45 degree angle.":PIC1:8100p@CO,20,140:"When the ball hits a side of the table, it rebounds at a 45 degree angle.":9000JBOX,0,0,279,YT12:BOX,0,YB20,279,191:BOX,XR12,YT,279,YBTCO,20,20:"The ball continues moving until it falls into a pocket.":PIC24:8100:PIC:PIC0^CO,20,140:"This ball bounced three times.":X10::Y160:Z$"Which pocket did it fall into? ":M$"D":9800:Y$"D"įCO,XR20,80:AFT,1:CN$"Right!"CO$:9000:400hCL$;"No, watch the ball again.":B0:PIC0:8400:8300:8200:PIC14:8100:PIC:PIC0LrCO,20,140:"This ball falls into pocket D.":9000CL$:"The number of bounces and"CC$::"the pocket change as"CC$::"the pool table dimensions"CC$::"change."CC$BL34:BR245:BU20:BD100:9200oAFT,3:VSP,8:CO,20,120:QU$"Pool around"QU$" with the base and height and see what ":CN$"PATTERNS"CO$" you can discover.":9000 CL$::"Make a "CN$"CHART"CO$" to keep track of your results.":CO,20,110:"Try to "CN$"PREDICT"CO$" what will happen before you shoot the ball.":9000CL$:AFT,1:CO,20,40:"You may want to use one or more of these strategies:"CN$:CO,73,90:"Trial and error":CO,59,110:"Exhaustive listing":CO,37,130:"Simplifying the problem"CO$BU85:BL33:BR270:BD150:9200:9000CL$:CO,20,70:"Before you begin to experiment with the pool tables, would you like to read the instructions again? ";:36000:Z$"Y"235WIND:VSP,8:8900:CL$XC110:B0:VSP,8:AFT,4:WIND,20,20:CL$;"Enter the dimensions for the pool table.":WIND4MIN2:MAX15:X50:Y60:Z$"Base: ":9700:LOPh MIN2:MAX14:X50:Y80:Z$"Height: ":9700:WOPCL$:8400:8300:8200:CO,XR34,20:"Base":CO,XR44,29:L:CO,XR30,50:"Height":CO,XR44,59:WA&CO,10,176:"When you are ready to shoot,":          p-͂ooo _pLnõoo^`No ݤp 輤pppp߹ppo _po , g 掏p ,o vpp) p pp)p ߅ l o ) L{Bp HHHp hhh ````L`bbbbIq$% `@ GaLa6 ,fLcLmfPa bHaa,aaɠ,wa ` a欇aah`ɀ)?  @IH (c$ d f$%0 d 2f%%h $20 LZc $ aHaH`daemeWeeeef1fSflffffff(bb d (cf hf gNOH (c h f ghH ,aɈ.hH (cb h) e f g (c fbbh`˅o 8ɀ   LX8e湥 qHqH L`@ @ʩ WRPT` J  dȱȱȱ` hfH) #,f h`` fffffffh`f fS```emffff f`emfff`) ffffffO,0 `)  d`f(`HHf,Pf88`f d fhLcfHfHff,P d fhf8hfffffff``S`S```f穀f f`f3f'ff ``) ``fʽ`) ` `fH`mS` dS`)ae``e hae g`e}`mf8ff`f` dLc,0*`%f 8fHfJhj`mfff` c d` c dI``L de80 " Tfm8h)` dem88eLf` deme` d8` f@ f f f`Lc dffL2f -`,f`'im(imʈ*i+i)iʎ,iL6i Kggg`gg ggg`g Kg gggg`ggg8pg.g(gggmgg`8pgJJJ) }gggmgg`((((PPPPhHhhh hJ` &eeieh ghIiwhi 썼h &gmh﬽hMhwhPjjjjjjj0jj) h0ȱjhjhhУ`8pPH)8 qȥq8)h` g R  QP (`L h`L)  @ 5ij1i3i j2i4i'i(i g-i j/i*i+i g.ij0i-i.iB)i &g&'-i ,jQ&-/iQ&&ȭ1i.i ,j& ,jQ&-0iQ&&)i)i,i`/i-0i/i)i &g&'-i ,jQ&-/iQ&&)i)i,i`*U U*ժ gj')JMgj)1i Q&,5iP 0=lj`hj`J&)` `L3f̙jj ߅$0Hjj LbLvjj j` h'i(i)i hmHihʍ*i+i,i L8iL Sk TkMUkSk &g<>=MUk?'<>SkSkTk` H g Rh PQ`L     խ)?` ` @)`,` sj ެLqj,Hl  !l  h!l`L, HHHHHHHHH k l jlNO,ɍɠ ɛ8nl,lPݩ mhhhhhhhhh,lp` ֩PyQ ALŠҠ僁'i(imiʈ*i+i &')iq&,iL6i N8`f `.f`mm ` ң Σ  h`+ hR("  h5880`L pppop ( vpLRo Ln {$0! 掐p ,L)o k {$0L#oNo 千oLoo n|-?npLn Up no n U        `0~~~3000000~~``````|```````~~~~~000t(` lllll~~~0` 0`0``0`000`~~0000`` 0`xx0p0000xx 8` 8 x8x x<`x 0```xxxx| ```0``0`00`x000@@0xxx||````` xxxxlxx x000000xx0x0xx0000 0``0 pp pp`0x |||| ||x|8l````|| x````8p`````lxx|| |x ````l8|x0x0x| x0`0````0``0``v0000 trial and error, exhaustive listing, and simplifying the problem, to find the number of diagonals in a twelve-sided figure.","" nà "Squares","SQUARES-B","An interactive tutorial on applying any of three strategies to find the number of squares in a 5 x 5 grid.",""7xà "Thinking With Ink","THINKING W/INK"#yÃ"An application of strategies in a game activity of coloring a pattern of rectangles at a minimal cost. A TOP TEN list of scores is kept. A management option allows choice of map pattern. A color monitor is required. ","JÃ"Pooling Around","POOLING AROUND"2Ã"A simulation of one-ball pool tables of varying sizes that enables you to discover patterns by collecting data on the number of bounces the ball takes and the pocket it falls into. A management option controls the sound.",""KH::(4)"MAXFILES3"f\P(I)(I)(I1)256pTE274:A0P(784):A130136TE:A231296TE:A332264TE:A433296TE:A534072TE:A634520TEzRFL,"FONTS.BIN"A1DFT,1,A1:DFT,2,A2:DFT,3,A3:DFT,4,A4:DFT,5,A5;233,(A6256):232,A6(A6256)256At` ```````fffffff~l6iɆpq{0`0``0`00000`Z<`~~6f~~~ ~~~~~`````````0``0`00`~>cc>cc>>cc>0000000|~~~w~~~~f<ff<CFJ*NGAGO?_WUUUBUABUCUBB>0CFJUNGTvGJ??C*B*B***B*AB*C*BBB3CFJ*NGAGJ`@UCUBUBUUUBUABUCUBOBfFCFJUNGAGN~C*B*B* FBC BBB CFJ*NGVAAOACOjGOCUBWBB@B`@CFJUNGVp`gg`pnGOCC@B`ABpAB8ABAABBGlo`OCFJ*NGYB~BBBYCFJUNGY!DIE20Bspr]GQF@`Dp`@HB@@_BY_CFJ*NGY~| B|CAyA`ByC]GOG|L|HBFACFJUNG[A`Hss]GOD@CAAGA <?Ex]GsvC6ACFJ*NGVAyxxByA`F~~~^GsBcB6f`CBwJUNGY DyjGsBBCFB;FJ*NGY LL |hGsB`B0`Ca]a}}JUNGYd`gg`dg`phGsBgB0gC.5B;J*NGAGsBsB63Cwx{JUNGAGsBs600p00CBnJ*NGAGsBcB6cCtwutJUNGAGsBsB63CCnJ*NAsBc600`CFJUOAs``wBfgC{9{{ J*B MBlLC8W0W8JUBBgBlgC {{ J*BBC AC~}~}~JU0003f<ff<<ȥ?< <<= H <=I<<`<=< -   ) 8 -`- 8`X^_ ^-\]`a X  `   ` j-`- { 媤^_ ` L ׌ ` ׌ ` j` - `L { RPQ { RPQ { RPQ`  { RPvQw L xLl` x& eL׭vqwrXvwLXLXvw ")>? Ўp F 8`L_8ghgmihmj8Btv w vw8vw8>? Ў9p!>? Ў&pg^h_^`ȱ^Șe^^_iȑ^^_@A  - `@ @ `,X` {ݩ- ^ -`- &L`L 䎱 掲`RFRNSEOPEREEWRITCLOS B Ȍ `ȱ>? 鎰:p";>CO,30,45:"1. View the current TOP TEN":" list of names":8H"2. View the current map outline":R"3. Choose a different map and":" erase the current TOP TEN":" list":\"4. Keep the same map and erase":" the current TOP TEN list":f"5. Return to the menu"4pCO,20,170:"Which do you choose? ":MIN1:MAX5:X182:Y170:9700PzOP950,960,970,980,210Vk5000:8200:810q5000:8300:XX40:YY50:PLMAP:7900:CL$:9520:9000:810WIND,30,20,279:VSP,4:CL$::"There are three different map outlines. Choosing a different map automatically erases the players' names on the TOP TEN LIST."::"Map "LMAP4" is currently being used."CO,30,140:"Are you sure you want to choose a different map? ";:36000:Z$"N"810LBOX,0,130,279,191:CO,30,140:"Which map outline do you want to use (1-3)?":X165:Y152:MAX3:MIN1:9700LMAPOP4:AD221,LMAP:WRITE,AD%(0),L%(0)AD:WRITE:8250:810VSP,4:WIND,30,20:CL$::CO,30,80:"Do you want to erase the names from the TOP TEN LIST? ";:36000:Z$"Y"İ8250VSP:810"F5000:WRITE:CLOSE:RNH,"MENU"rCL$:CO,0,90:"One moment please...":xxX%(Z),Y%(Z)X1%(Z),Y%(Z)X1%(Z),Y1%(Z)X%(Z),Y1%(Z)X%(Z),Y%(Z)X%(Z)1,Y%(Z)1X1%(Z)1,Y%(Z)1X1%(Z)1,Y1%(Z)1X%(Z)1,Y1%(Z)1X%(Z)1,Y%(Z)1:CAAADDRESS:REED,AD%(P),L%(P)ADVN(AA):Z1N|X%(Z)XX(AA1):Y%(Z)YY(AA2)X1%(Z)(AA3)X%(Z):Y1%(Z)(AA4)Y%(Z):A%(Z)(((AA3)6)((AA4)6)) NA(AA5):M$(Z)"":ZZ1NA:M$(Z)M$(Z)((AA5ZZ)):ZZ&AAAANA5:C%(Z)0:Z:,@GJZ$"ONE":P2Z$"TWO"[TP3Z$"THREE"n^P4Z$"FOUR"hP4Z$"HARD"rAFT,3:CO,0,5:"Level "CN$Z$CO$:  VSP,8:WIND:CO:8300:AAAD' Z09:AAADZ22:N$(Z)"":SC%(Z)P(AA):ZZAA2AA21:N$(Z)N$(Z)((ZZ)):ZZ:Z& CL$"TOP TEN LIST"CC$:"Map #"(LMAP4)CC$::Z09::CO,10,Z1240:3((Z1)));Z1;". ";N$(Z):SC%(Z)32767įCO,200,Z1240:SC%(Z)0 Z:SPACE:WIND,20,20:*: REED,AD%(0),L%(0)AD:Z09:AAADZ22:AA!! ! ! ! ! !!!!!!!!!   ( (((( <((( (8<((D(  (((<(P< <( (( (< <( <<( (((<2(((((" ,<LD< <,      0  ,  <  L\ `  `  `  `0 `@  `L pH$p8p(p$(  !"( L4444 $ $  $ 4 ! 4  "4 ! $ $ 04 DD D (D 4@ 40 4  $  $ 4 $, PD( D8  P8 h8 `(4`(xx       t8H $ 4 $ (  (  (  $( 4(((H(<8  (, 8, H,  T,  (8,   `  `  ` ( l (DH<H|0 0|     040( 0 @ $0@$0,(( <((( (8<((D(  (((<(P<<((((<<(<<((((<2(((((          !,X1%(Z)""tLucuduuLvɯzu 8ɀ   Lޤȱ 0:,јe湥 vHvH , LcuduL x'v (v8'v?=6=0>?(`LuLu<0>?(`L vLvLv>?(`L%vø{{ttlnghab\\WWRRMNIIEEAA=>::673401..+,))&'$%"# ! 3#< = <=Lu <=LuLPLAv`"" " " " "