,GEOMETRY & ,TACTILE ,GRAPHICS = ,/UD5TS 9 ,GRADES #C TO #H ,LESSON #A3 ,BASIC ,%APES & ,ANGLES ,US$ 9 ,GEOMETRY ,,PROJECT ,,9SPIRE ,UNIV]S;Y ( ,S\? ,C>OL9A ,UP/ATE ,SLIDE #B ,OBJECTIVES ,"PICIPANTS W 2 ABLE TO3 #A4 ,R1D & WRITE ! "NS ( BASIC %APES 9 ,NEME? ,CODE )9 ,,UEB ,3TEXTS4 #B4 ,R1D & WRITE PROBLEMS 3TA9+ GEOMETRIC MA? EXPRES.NS4 #C4 ,R1D & WRITE PROBLEMS 3TA9+ %APES TO REPRES5T OMITT$ MAT]IAL4 #A ,SLIDE #C ,:AT ,>E ,%APES8 _4 _% $ _: %APE 9DICATOR _4 ,A %APE IS A M9IATURE PICTURE ( A GEOMETRIC FIGURE OR ANO!R OBJECT4 _4 ,= REGUL> POLYGONS "E"> 2G9 ) ! _% $ _: FOLL[$ BY ! NUMB] T REPRES5TS ! NUMB] ( SIDES4 _4 ,= IRREGUL> POLYGONS & O!R %APES "1 USE ! _% $ _: & ! APPROPRIATE LR OR SYMBOL4 #B ,SLIDE #D ,H[ TO ,WRITE ! ,"NS ( ,COMMONLY ,US$ ,%APES 9 ,,/EM ,C\RSES @. _% $C _: @.E@.> _% $4 _: @.

ALLELOGRAM@.> _% $G _: @. _% $T _: @. _% $[ _: #C ,SLIDE #E ,SPAC+ & ,CAPITALIZA;N ) ,%APE ,SYMBOLS _4 ,PUT A SPACE 2T ! %APE SYMBOL & XS DESCRIPTOR1 REG>D.S ( H[ X LOOKS 9 PR9T4 _4 ,4REG>D ! ITALICS :5 TRANSCRIB+4 @.<,ANGLE ,A@.> _% $[ ,A _: @.<,CIRCLE ;,P@.> _% $C ,P _: _4 ,IF A %APE IS FOLL[$ BY LRS1 EA* LR IS 9DIVIDUALLY CAPITALIZ$4 @.<,TRIANGLE _% ,A,B,C _:@.> _% $T ,A,B,C _: @.<,P>ALLELOGRAM _% ,L,M,N,O _:@.> _% $G ,L,M,N,O _: #D ,SLIDE #F ,SIGNS ( ,COMP>ISONS ,US$ 9 ,GEOMETRY ,PUT A SPACE 2T %APE SYMBOLS & A SIGN ( COMP>ISON4 @.<,TRIANGLE _% ,X,Y,Z _: IS SIMIL> TO TRIANGLE _% ,A,B,C _:4@.> _% $T ,X,Y,Z @: $T ,A,B,C _: @.<,ANGLE ;,C IS 3GRU5T TO ANGLE ;,D4@.> _% $[ ,C @:.K $[ ,D _: @.<,ANGLE "O IS N 3GRU5T TO ANGLE TWO4@.> _% $[ #1 /@:.K $[ #2 _: ,SLIDE #G ,ACTIV;Y #A,A ,9T]L9E ! FOLL[+4 _% #1_4 $4 #2_4 $T ,L,M,N #3_4 $[ #4 @:.K $[ #5 _: #E ,SLIDE #H ,ACTIV;Y #A,A3 ,ANSW] ,KEY #A4 @.<,SQU>E4@.> #B4 @.< ,TRIANGLE _% ,L,M,N _:4@.> #C4 @.<,ANGLE F\R IS 3GRU5T TO ANGLE FIVE4@.> ,SLIDE #I ,ACTIV;Y #A,B ,TRANSCRIBE ! FOLL[+4 #A4 @.<,CIRCLE ;,K@.> #B4 @.<,SQU>E _% ,P,Q,R,S _:@.> #C4 @.< ,TRIANGLE _% ,J,K,L _: IS SIMIL> TO TRIANGLE _% ,M,N,O _:4@.> ,SLIDE #AJ ,ACTIV;Y #A,B3 ,ANSW] ,KEY _% #1_4 $C ,K #2_4 $4 ,P,Q,R,S #3_4 $T ,J,K,L @: $T ,M,N,O _: #F ,SLIDE #AA ,M1SURE ( AN ,ANGLE ,! LR ;M 9 FRONT ( AN ANGLE NOTA;N M1NS 8! M1SURE (04 ,NO ,5GLI% ,LR ,9DICATOR IS REQUIR$4 _% ^.* _: DEGREE @.<,! M1SURE ( ANGLE TWO EQUALS ?IRTY DEGREES4@.> _% M$[ #2 .K #30^.* _: @.<,! M1SURE ( ANGLE .% ,D,E,F _: EQUALS N9ETY DEGREES4@.> _% M$[ ,D,E,F .K #90^.* _: #G ,SLIDE #AB ,SIGNS ( ,OP]A;N ,US$ 9 ,GEOMETRY ,D N PUT A SPACE 2T M1SURES ( ANGLES & A SIGN ( OP]A;N4 @.<,! M1SURE ( ANGLE "O PLUS ! M1SURE ( ANGLE TWO EQUALS N9ETY DEGREES4@.> _% M$[ #1+M$[ #2 .K #90^.* _: @.<,! M1SURE ( ANGLE _% ,A,O,B _: PLUS ! M1SURE ( ANGLE _% ,B,O,C _: EQUALS ! M1SURE ( ANGLE _% ,A,O,C _:4@.> _% M$[ ,A,O,B+M$[ ,B,O,C .K M$[ ,A,O,C _: #H ,SLIDE #AC ,%APE ,SYMBOLS T ,REPRES5T ,OMIS.NS _4 ,:5 %APES REPRES5T OMITT$ MAT]IAL1 USE ! ,NEME? %APE 9DICATOR :5 /UD5TS >E 9 #DTH GRADE & UP4 @.<,SEV5 "TS CIRCLE EQUALS ?IRTY-FIVE4@.> _% #7@*$C .K #35 _: @.<,! FRAC;N SQU>E OV] F\R EQUALS ! FRAC;N T5 OV] =TY4@.> _% ?$4/4# .K ?10/40# _: _4 ,= /UD5TS 9 ,K9D]G>T5 "? #CRD GRADE1 MAKE A TACTILE GRAPHIC = ! %APE4 @.<,PR9T IMAGE & TACTILE ) SIMBRL3 DIAMOND %APE PLUS F\R EQUALS TRIANGLE %APE4@.> #I ,SLIDE #AD ,USE ( ! ,MULTIPURPOSE ,9DICATOR ) A ,REGUL> ,POLYGON _4 ,IF A REGUL> POLYGON "E _% $4 _:"> REPRES5TS A MISS+ SIGN ( OP]A;N & IS FOLL[$ BY A NUMB]1 USE ! MULTIPURPOSE 9DICATOR _% " _:4 _4 ,PLACE ! MULTIPURPOSE 9DICATOR 2T ! %APE & ! NUMB]4 @.<,FIFTY EQUALS "O HUNDR$ SQU>E TWO4@.> _% #50 .K #100$4"2 _: @.<;Y M9US SEV5 SQU>E FIVE EQUALS #FG4@.> _% Y-7$4"5 .K #67 _: #AJ ,SLIDE #AE ,ACTIV;Y #A,C ,TRANSCRIBE ! FOLL[+4 #A4 @.<,! M1SURE ( ANGLE _% ,P,Q,R _: EQUALS ?IRTY DEGREES4@.> #B4 @.<,! M1SURE ( ANGLE F\R PLUS ! M1SURE ( ANGLE SEV5 EQUALS "O HUNDR$ EI #C4 @.<,?IRTY-N9E IS LESS ?AN OR EQUAL TO "O HUNDR$ N9ETY-FIVE SQU>E FIVE4@.> ,SLIDE #AF ,ACTIV;Y #A,C3 ,ANSW] ,KEY _% #1_4 M$[ ,P,Q,R .K #30^.* #2_4 M$[ #4+M$[ #7 .K #180^.* #3_4 #39 "K: #195$4"5 _: #AA ,SLIDE #AG ,SIGNS ( ,%APE ,SURR.D$ BY ,TEXT ,SIGNS ( %APE 9 ,NEME? ,CODE M/ 2 5CLOS$ )9 ,NEME? SWIT* 9DICATORS :5 SURR.D$ BY TEXT4 #D4 ,9 ! PROBLEM1 SQU>E REPRES5TS AN EV5 NUMB] & TRIANGLE REPRES5TS AN ODD NUMB]4 #D4 ,9 ! PROBLEM1 _% $4 _: REPRES5TS AN EV5 NUMB] & _% $T _: REPRES5TS AN ODD NUMB]4 #AB ,SLIDE #AH ,ACTIV;Y #A,;D ,TRANSCRIBE ! FOLL[+ S5T;ES4 #I4 @.<,TRIANGLE _% ,D,E,F _: IS 3GRU5T TO TRIANGLE _% ,P,Q,R _:4@.> #AJ4 @.<,IF ANGLE ,A & ANGLE ;,C >E SUPPLE;T>Y1 !N ! M1SURE ( ANGLE ,A PLUS ! M1SURE ( ANGLE ;,C EQUALS "O HUNDR$ EI ,SLIDE #AI ,ACTIV;Y #A,D3 ,ANSW] ,KEY #I4 _% $T ,D,E,F _: IS 3GRU5T TO _% $T P,Q,R _:4 #AJ4 ,IF _% $[ ,A ,' & $[ ,C _: >E SUPPLE;T>Y ANGLES1 !N _% M$[ ,A+M$[ ,C .K #180^.* _:4 #AC