,NEME? ,CODE ,SYMBOLS ,US$ 9 ,HI< ,S*OOL & ,/RATEGIES = ,SUPPORT+ ,MA? ,LE>N+ ,LESSON #A3 ,SYMBOLS = ,ADV.ED ,MA?1 ,"P #A @.<,PROJECT ,,9SPIRE LOGO4 ,A C>TOON [L ) GLASSES 9 FRONT ( AN OP5 BOOK4 ,TEXT 2S ! [L R1DS 8,,PROJECT ,,9SPIRE0 9 PR9T & BRL4@.> ,SLIDE #B ,OBJECTIVES ,"PICIPANTS W 2 ABLE TO3 _4 ,R1D & WRITE PROBLEMS 3TA9+ #A4 V]TICAL B>S " #B4 BRACKETS & BRACES " #C4 ! 9F9;Y SYMBOL #D4 ! HOLL[ DOT #E4 ANGLE BRACKETS _4 ,R1D & WRITE MA? ^W PROBLEMS T REQUIRE USE ( ! OP5+ ,NEME? ,CODE 9DICATOR1 ! ,NEME? ,CODE #A ,NEME? 9 ,HI< ,S*OOL T]M9ATOR1 & ! S+LE-^W SWIT* 9DICATOR4 ,SLIDE #C ,ABSOLUTE ,VALUE ,REVIEW _% \ \ _: ABSOLUTE VALUE ,REMEMB] T A NUMB] 5CLOS$ 9 V]TICAL B>S DOES N NE$ A NUM]IC 9DICATOR4 _% \-8\ _: ,R1D3 ABSOLUTE VALUE ( NEGATIVE #H _% -\4\ _: ,R1D3 NEGATIVE ABSOLUTE VALUE ( #D _% #3+\X\ _: ,R1D3 ?REE PLUS ! ABSOLUTE VALUE ( ;X _% \3X-6\ _: ,R1D3 ABSOLUTE VALUE ( #CX M9US #F CLOSE ABSOLUTE VALUE #BH4 ,IS _% -\-7\ _: POSITIVE8 #B ,NEME? 9 ,HI< ,S*OOL ,SLIDE #D ,M ,USES ( ! ,V]TICAL ,B> _% \ _: V]TICAL B> _% \V\ _: ,R1D3 MAGNITUDE ( ;V _% \\F\\ _: ,R1D3 NORM ( ;F _% \,A\ _: ,R1D3 DET]M9ANT ( MATRIX ,A _% \,C\ .K -#8 _: ,R1D3 ,! DET]M9ANT ( MATRIX ;,C EQUALS NEGATIVE EI "<,3T9U$"> _% \ _: ,R1D3 S* T _4 ,USUALLY US$ )9 SET NOTA;N _4 ,M/ 2 A SPACE 2F & AF ! V]TICAL B> 9 ,NEME? ,CODE4 #C ,NEME? 9 ,HI< ,S*OOL _% .(X \ X "K #2.) _: ,R1D3 ! SET ( ALL ;X S* T ;X IS LESS ?AN #B _% .(X \ X .1: #0.) _: ,R1D3 ! SET ( ALL ;X S* T ;X IS GRT] ?AN OR EQUAL TO #J ,SLIDE #F ,SYMBOLS ,US$ 9 ,FUNC;N ,NOTA;N & ,9T]VAL ,NOTA;N _% ( _: OP5 " P>5!SES _% ) _: CLOSE "<"R"> P>5!SES _% @( _: OP5 " BRACKET _% @) _: CLOSE "<"R"> BRACKET _% ,= _: 9F9;Y _% -,= _: NEGATIVE 9F9;Y ,SLIDE #G ,EXP&$ ,USE ( ,GR\P+ ,SYMBOLS _4 ,FUNC;N NOTA;N _% F(X) F(X) _: ,R1D3 ;F ( ;X _% F(X) .K #2(X-7) _: _4 ,9T]VAL NOTA;N #D ,NEME? 9 ,HI< ,S*OOL ,OP5 ,9T]VAL DOES N 9CLUDE XS 5DPO9TS _% (-3, 1) X X [33R33R77R77R77R77R33R33R33O -4 -3 -2 -1 0 1 2 3 _: ,CLOS$ ,9T]VAL 9CLUDES XS 5DPO9TS _% @(-3, 1@) = = [33R33R77R77R77R77R33R33R33O -4 -3 -2 -1 0 1 2 3 _: ,HALF-OP5 OR ,HALF-CLOS$ ,9T]VALS _% (-1, 3@) X = [33R33R33R33R77R77R77R77R33O -4 -3 -2 -1 0 1 2 3 #E ,NEME? 9 ,HI< ,S*OOL @(2, ,=) = [33R33R33R33R77R77R77OO -1 0 1 2 3 4 _: ,SLIDE #H ,ACTIV;Y #A,A ,BRL ! PROBLEMS4 @.<,MA? 3T5T HAS BE5 SPELL$ \ TO ALL[ = PRACTICE4@.> #A4 F\R V]TICAL-B> ;X PLUS ?REE V]TICAL-B> M9US SEV5 #B4 OP5-BRACE ;X V]TICAL-B> ;X IS N EQUAL TO NEGATIVE TWO #C4 V]TICAL-B> ;,B V]TICAL-B> EQUALS SIXTY-EI5!SIS NEGATIVE 9F9;Y1 SIX CLOSE-BRACKET #F ,NEME? 9 ,HI< ,S*OOL ,SLIDE #I ,ACTIV;Y #A,A3 ,ANSW] ,KEY _% #1_4 #4\X+3\-7 #2_4 .(X \ X /.K -#2.) #3_4 \,B\ .K #68 #4_4 @(-5, 9@) #5_4 (-,=, 6@) _: ,SLIDE #AJ ,HOLL[ ,DOT _% .* _: ,! HOLL[ DOT IS US$ = DEGREES & COMPOSITE FUNC;NS4 _% #90^.* _: ,:5 R1D+ A FUNC;N1 SAY 8(0 :5 Y R1* ! HOLL[ DOT OR AN OP5+ P>5!SIS4 _% F.*G.*H _: ,R1D3 ;F ( ;G ( ;H _% (G.*F)(X) _: ,R1D3 ;G ( ;F ( ;X _% (F.*G)(X) .K F(G(X)) _: #G ,NEME? 9 ,HI< ,S*OOL ,R1D3 ;F ( ;G ( ;X EQUALS ;F ( ;G ( ;X4 ,SLIDE #AA ,ANGLE ,BRACKETS _% ..( ..) _: ANGLE BRACKETS _% ..(X, Y..) _: ,R1D3 OP5 ANGLE BRACKET ;X COMMA ;Y CLOSE ANGLE BRACKET _% ..(5, 45^.*"..) _: ,R1D3 OP5 ANGLE BRACKET FIVE COMMA =TY-FIVE DEGREES CLOSE ANGLE BRACKET _% V .K ..(3, -5..) _: ,R1D3 ;V EQUALS OP5 ANGLE BRACKET ?REE COMMA NEGATIVE FIVE CLOSE ANGLE BRACKET4 _% ,A .K ..(X1, Y1..) _: ,R1D3 ,A EQUALS OP5 ANGLE BRACKET ;X SUB "O COMMA ;Y SUB "O CLOSE ANGLE BRACKET4 #H ,NEME? 9 ,HI< ,S*OOL ,SLIDE #AB ,OP5+ & ,CLOS+ ,NEME? ,9DICATORS _4 ,! OP5+ ,NEME? ,CODE 9DICATOR _% _% _: 2G9S ,NEME? ,CODE4 _4 ,! ,NEME? ,CODE T]M9ATOR _% _: _: 5DS ,NEME? ,CODE4 _4 ,! OP5+ ,NEME? ,CODE 9DICATOR C 2 PLAC$ AT ! 5D ( A L9E ( LIT]>Y TEXT ^1_1OR ON XS [N L9E4 _4 ,! ,NEME? ,CODE T]M9ATOR C AL 2 PLAC$ AF ! MA? X 5DS ^1_1OR ON XS [N L9E4 ,SLIDE #AC ,S+LE ,^WS 9 ,NEME? ,CODE ,)9 ,,UEB ,3TEXTS _4 ,USE ! S+LE-^W SWIT* 9DICATOR _% ,' _: TO AVOID SWIT*+ 9 & \ ( ,NEME? ,CODE = "O ^W4 _4 ,2G9 ) A S+LE ^W SWIT* 9DICATOR4 _4 ,BRL ! ^W 9 ,,UEB4 _4 ,EV5 IF A ^W ^1_1DOES ^1_1N H A 3TRAC;N 9 X1 Y ^1_1M/ USE A S+LE ^W SWIT* 9DICATOR4 #I ,NEME? 9 ,HI< ,S*OOL ,WAT* ! _% + ,'& - _: SIGNS6 ,SLIDE #AD ,NEME? ,9DICATORS "<,3T9U$"> _4 ,:5 DECID+ ": TO PLACE 9DICATORS1 3SID]3 _4 ,3SI/5CY _4 ,CL>;Y = ! BRL R1D] _4 ,IF ! MA? MAT]IAL & XS SWIT* 9DICATORS W FIT ON "O BRL L9E )9 CURR5T M>G9S1 ? IS ! PREF]R$ LAY\T4 _4 ,IF N1 ! PRIOR;Y IS N TO DIVIDE ! MA? EXPRES.N4 ,:5 ONLY "O CODE SWIT* 9DICATOR W FIT ON ! L9E ) ! MA? EXPRES.N1 EI 9DICATOR MAY 2 PLAC$ ON ! L9E ) ! MA?4 ,SLIDE #AE ,EXAMPLES ( ,SWIT* ,9DICATOR ,USE ,! 9T]VAL _% @(-4, 1.5@) _: IS ALL ! NUMB]S 2T _% -#4 ,'& #1.5, ,'9CLUD+ -#4 ,'& #1.5 _:4 ,X CD AL 2 WRITT5 Z #AJ ,NEME? 9 ,HI< ,S*OOL _% .(X \ -#4 "K: X "K: #1.5.) _:4 ,SLIDE #AF ,EXAMPLES ( ,SWIT* ,9DICATOR ,USE "<,3T9U$"> ,! 9T]VAL _% (0, 10) _: IS ALL ! NUMB]S 2T #J & #AJ B N #J OR #AJ4 ,? M1NS _% (0, 10) .K .(X \ #0 "K X "K #10.) _:4 ,SLIDE #AG ,ACTIV;Y #A,B ,9T]L9E ! PROBLEMS4 #A4 ,ANGLES ^: M1SURES TOTAL _% #90^.* _: >E COMPLE;T>Y4 #B4 ,F9D _% (F.*G)(X) _:4 #C4 ,! DOMA9 ( _% F(X) ,'IS @(2, ,=) _:4 #D4 ,:AT IS ! RECTANGUL> =M ( _% ..(10, 60^.*"..) _:8 #AA ,NEME? 9 ,HI< ,S*OOL ,SLIDE #AH ,ACTIV;Y #A,B3 ,ANSW] ,KEY #A4 ,ANGLES ^: M1SURES TOTAL N9ETY DEGREES >E COMPLE;T>Y4 #B4 ,F9D OP5-P>5!SIS ;F HOLL[-DOT ;G CLOSE-P>5!SIS OP5-P>5!SIS ;X CLOSE-P>5!SIS4 ,SLIDE #AI ,ACTIV;Y #A,B3 ,ANSW] ,KEY "<,3T9U$"> #C4 ,! DOMA9 ( ;F OP5-P>5!SIS ;X CLOSE-P>5!SIS IS OP5-BRACKET TWO1 9F9;Y CLOSE-P>5!SIS4 #D4 ,:AT IS ! RECTANGUL> =M ( OP5-ANGLE-BRACKET T51 SIXTY DEGREES CLOSE-ANGLE-BRACKET8 #AB ,NEME? 9 ,HI< ,S*OOL ,SLIDE #BJ ,ACTIV;Y #A,C ,TRANSCRIBE ! FOLL[+ QUIZ4 @.<,MA? 3T5T IS SPELL$ \ TO ALL[ = PRACTICE4@.> ,ALGEBRA ,QUIZ ,%[ ALL YR /EPS4 #A4 ,GIV5 ;F OP5-P>5!SIS ;X CLOSE-P>5!SIS EQUALS ?REE ;X PLUS TWO & ;G OP5-P>5!SIS ;X CLOSE-P>5!SIS EQUALS ;X PLUS FIVE1 F9D OP5-P>5!SIS ;F HOLL[-DOT ;G CLOSE-P>5!SIS OP5-P>5!SIS ;X CLOSE-P>5!SIS4 #B4 ,DRAW A GRAPH ( A FUNC;N ) A RANGE ( OP5-BRACE ;Y V]TICAL-B> ;Y IS GRT] ?AN OR EQUAL TO NEGATIVE "O CLOSE-BRACE4 #C4 ,DESCRIBE ! 9T]VAL OP5-P>5!SIS NEGATIVE ?REE1 F\R CLOSE-BRACKET US+ SET NOTA;N4 #D4 ,IS NEGATIVE N9E V]TICAL-B> NEGATIVE ?REE V]TICAL-B> POSITIVE OR #AC ,NEME? 9 ,HI< ,S*OOL NEGATIVE8 ,SLIDE #BA ,SLIDE ,ACTIV;Y #A,C3 ,ANSW] ,KEY ,ALGEBRA ,QUIZ ,%[ ALL YR /EPS4 #A4 ,GIV5 _% F(X) .K #3X+2 ,'& G(X) .K X+5, ,'F9D (F.*G)(X) _:4 #B4 ,DRAW A GRAPH ( A FUNC;N ) A RANGE ( _% .(Y \ Y .1: -#1.) _:4 #C4 ,DESCRIBE ! 9T]VAL _% (-3, 4@) _: US+ SET NOTA;N4 #D4 ,IS _% -#9\-3\ _: POSITIVE OR NEGATIVE8 @.<,9 ! PR9T V].N1 A %ORT] BRL L9E IS US$4 ,Z A RESULT1 ! MA? EXPRES.N 9 ITEM #C 0 MOV$ TO ! RUNOV] L9E = T ITEM4 ,BO? TRANSCRIP;NS >E CORRECT4@.> #AD