lesson plan math f3 2015
TRANSCRIPT
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SMJK KATHOLIK BENTONG, PAHANGLESSON PLAN MATHEMATICS FORM 3 (2016)
Week Learning Area Learning Objectives Learning Outcomes Strategy and Approach Descriptor
1,2
(2)
4!2"!#$!%!2"!#
!&Lines and Ang'es ()
Students i'' be taughtto*
- denti+y properties o+ang'es associatedith transversa'sand para''e' 'ines&
- denti+y properties o+
ang'es associateith para''e' 'ines&
- ,ind the va'ue o+ anang'e in associatedith para''e' 'ines&
- denti+y para''e' 'ines-based on theproperties o+ ang'esassociated ithtransversa's&
- So'ving prob'emsinvo'ving ang'es
Students i'' be ab'e to*
i. Associate transversa' andpara''e' 'ines ith*
- .orresponding ang'es- A'ternate ang'es- nterior ang'es
ii. Associate properties o+
ang'es*- .orresponding ang'es are
e/ua'&- A'ternate ang'es are e/ua'&- 0he interior ang'es on the
same side o+ transversa' aresupp'ementary&
- 0he sum o+ interior ang'es is!%"1
i. ,ind unknon ang'es&
.D$O3- ideo50OD6.0O57'ay the introduction video+rom the .D$O37rompt pupi's +or moree8amp'es +rom rea' 'i+e.O509506se content segment o+ the.D$O3 to i''ustrate thebasic concept
LL6S0A0O5''ustrate students ho toper+orm computations-represent o+ so'ving prob'ems&0ry ith di++erent e8amp'es95,O.939509va'uate segment to +urtherrein+orce the concept 'earnt A77L.A0O5S0eachers make use o+ theLines and Ang'es :enerator
+ond in the activity segment topose /uestions&9;7LOA0O5S9ncourage students to posethe ansers and crosscheckith the anser provided bythe Lines and Ang'es:enerator 9AL6A0O5S
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associated ithtransversa'&
ii. Determine i+ to 'ines arepara''e'ed&
>o'd .ompetition inc'assroom to encourageparticipation&
6se the e8tension segment o+ the .D$om as an e8amp'e+or students to try the/uestions&7rint out orksheets +oundunder 9va'uation +or the c'assto practice&9ncourage students to userevision +ound under9nhancement to revise thebasic concept hen
necessary&Week Learning Area Learning Objectives Learning Outcomes Strategy and Approach
3,4
(2)
2#!2"!#$#22"!#
2&7o'ygons ()
Students i'' be taughtto*
- Determine egu'ar7o'ygons&
- Determine the a8eso+ symmetry in apo'ygon&
- Sketching Draingegu'ar 7o'ygons&
- .onstructing ane/ui'atera' triang'e&S/uare and aregu'ar he8agon&
Students i'' be ab'e to*
i. Determine regu'ar po'ygonshaving e/ua' sides and a''interior ang'es are e/ua'&
ii. Determine a'' regu'ar po'ygonshaving number o+ a8es o+symmetry&
iii. Determine regu'ar po'ygons
having e/ua' number o+ sides&
i. .onstruct a po'ygon&ii. Determine hether po'ygons
are regu'ar or irregu'ar&
i. Determine the e8terior ang'e
.D$O3- ideo50OD6.0O57'ay the introduction video+rom the .D$O37rompt pupi's +or moree8amp'es +rom rea' 'i+e.O509506se content segment o+ the.D$O3 to i''ustrate the
basic conceptLL6S0A0O5''ustrate students ho toper+orm computations-represent o+ so'ving prob'ems&0ry ith di++erent e8amp'es95,O.939509va'uate segment to +urther
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- denti+y interiorang'es and e8terior
ang'es o+ a po'ygon&- Determine the si?eo+ an e8terior ang'egiven the interiorang'e&
- Determine the sumo+ the interior ang'eo+ po'ygons&
- Determine the sum
o+ the e8terior ang'eo+ a po'ygon&
- Determine the si?eo+ the interior ang'e-e8terior ang'e andthe number o+ sideso+ a regu'ar po'ygon&
- So've prob'emsinvo'ving ang'es and
and interior ang'es o+ apo'ygon are supp'ementary&
ii. ,ind the va'ue o+ an e8terior
ang'e hen the interior ang'eis given&iii. .a'cu'ate the va'ue o+ interior
ang'e o+ a po'ygon&
i. ,ind the sum o+ the e8teriorang'es o+ a po'ygon&
i. ,ind the interior ang'e and
e8terior ang'e o+ a regu'arpo'ygon hen number o+ sideso+ po'ygon is given&
ii. .a'cu'ate the interior ang'e o+a regu'ar po'ygon ith n sides&
nterior ang'e @ (n -2) x 180° niii. ,ind the e8terior ang'e o+ a
regu'ar po'ygon&98terior ang'e @ 360° Number of sides
@ 360° n = sum of exteriorangles number of sides
iv. .a'cu'ate the number o+ sideso+ a regu'ar po'ygon hen theinterior ang'es are given&
rein+orce the concept 'earnt A77L.A0O5S0eachers make use o+ the
7o'ygons :enerator +ond inthe activity segment to pose/uestions&9;7LOA0O5S9ncourage students to posethe ansers and crosscheckith the anser provided bythe 7o'ygons :enerator 9AL6A0O5S>o'd .ompetition inc'assroom to encourage
participation&6se the e8tension segment o+ the .D$om as an e8amp'e+or students to try the/uestions&7rint out orksheets +oundunder 9va'uation +or the c'assto practice&9ncourage students to userevision +ound under9nhancement to revise the
basic concept hennecessary&
3
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sides o+ a po'ygon& n @ 360° Exterior angle
@ 360° 180° – interior angle
Week Learning Area Learning Objectives Learning Outcomes Strategy and Approach
5,6,7
(=)
22"!#$2B22"!#
=&.irc'es ()
Students i'' be taughtto*
- denti+y properties o+circ'es invo'vingsymmetry- chordsand arcs&
- denti+y properties o+ang'es in a circ'e
Students i'' be ab'e to*
i& Determine the diameter o+ acirc'e as an a8is o+ symmetry&0he properties o+ chords&
ii& So've prob'ems invo'vingsymmetry- chords and arc o+
circ'es
i& Determine ang'es subtendedby an arc&
ii& Determine ang'es subtendedat the circum+erence by thesame arc&
iii& Determine ang'es subtendedat the circum+erence o+ thecentre by arcs o+ the same'ength&
iv& Determine re'ationshipbeteen ang'e at the centreand ang'e at thecircum+erence hich aresubtended by the same arc&
v& Determine the si?e o+ an ang'esubtended at thecircum+erence in a semicirc'e&
.D$O3- ideo50OD6.0O57'ay the introduction video+rom the .D$O37rompt pupi's +or moree8amp'es +rom rea' 'i+e.O50950
6se content segment o+ the.D$O3 to i''ustrate thebasic conceptLL6S0A0O5''ustrate students ho toper+orm computations-represent o+ so'ving prob'ems&0ry ith di++erent e8amp'es95,O.939509va'uate segment to +urtherrein+orce the concept 'earnt
A77L.A0O5S0eachers make use o+ the.irc'es :enerator +ond in theactivity segment to pose/uestions&9;7LOA0O5S9ncourage students to posethe ansers and crosscheck
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- .yc'ic uadri'atera's
vi& So've prob'ems invo'vingsubtended ang'es at thecentre and circum+erence&
i& denti+y cyc'ic /uadri'atera's&ii& denti+y the interior opposite
ang'es o+ cyc'ic /uadri'atera's&iii& denti+y the re'ationship
beteen interior oppositeang'es o+ a cyc'ic/uadri'atera'&
iv& denti+y the e8terior ang'e andits corresponding interioropposite ang'e o+ a cyc'ic
/uadri'atera'&v& denti+y the re'ationshipbeteen the e8terior ang'esand their correspondinginterior opposite ang'es o+ acyc'ic /uadri'atera'&
vi& So've prob'ems invo'vingcirc'es&
ith the anser provided bythe .irc'es :enerator 9AL6A0O5S
>o'd .ompetition inc'assroom to encourageparticipation&6se the e8tension segment o+ the .D$om as an e8amp'e+or students to try the/uestions&7rint out orksheets +oundunder 9va'uation +or the c'assto practice&9ncourage students to use
revision +ound under9nhancement to revise thebasic concept hennecessary&
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- 3ode- 3edian and3ean&
i& Determine the mode +or a seto+ data&
ii& Determine the mode and itscorresponding +re/uency +rom7ictograms-
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necessary&
Week Learning Area Learning Objectives Learning Outcomes Strategy and Approach
10,11
(2)
22=2"!#$242"!#
C&ndices
Students i'' be taughtto*- ndices&
- Simp'i+ication o+numbers in nde85otation&
- Division o+ 5umbersin ndices ,orm&
- nde8 98pressionsose to a 7oer&
Students i'' be ab'e to*
i& 98press repeatedmu'tip'ication as an and viceversa&
ii& 98press numbers in inde8notation&
i& eri+y a x a! = a " #ii& Simp'i+y mu'tip'ication o+
5umbers or A'gebraic 0erms
in nde8 5otation ith theSame
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operations +or inde8e8pressions ith positive-negative and +ractiona'
indices&Week Learning Area Learning Objectives Learning Outcomes Strategy and Approach
12,13
(2)
C42"!#$!#42"!#
#& A'gebraic98pressions()
Students i'' be taughtto*- 98panding
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14,15
(2)
!42"!#$="42"!#
B&
A'gebraic,ormu'a
Students i'' be taught
to*
- ecogni?e ariab'esand .onstants&
- ecogni?e ,ormu'a&
Students i'' be ab'e to*
i& Determine i+ a uantity is aariab'e or .onstant&
ii& Determine and represent avariab'e&
iii& Determine the possib'e va'ueso+ a variab'e&
i& Write a +ormu'a based onstatements and situations&
ii& denti+y the Subject o+ a given
+ormu'a&iii& 98press a speci+ied variab'eas the subject o+ a +ormu'a&
iv& ,ind the va'ue o+ a variab'e&v& So've prob'ems invo'ving
+ormu'ae&
the A'gebraic 98pressions,ormu'a :enerator 9AL6A0O5S
>o'd .ompetition inc'assroom to encourageparticipation&6se the e8tension segment o+ the .D$om as an e8amp'e+or students to try the/uestions&7rint out orksheets +oundunder 9va'uation +or the c'assto practice&9ncourage students to use
revision +ound under9nhancement to revise thebasic concept hennecessary&
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- ,ind the vo'ume o+
right pyramids andright circu'ar cones&
- 7er+orm the vo'umeo+ a sphere&
base o+ a right circu'arcy'inder&
v& .a'cu'ate the vo'ume o+ a right
prism&vi& .a'cu'ate the height o+ a rightprism&
vii& .a'cu'ate the base area o+ aright prism&
viii& .hange units +or vo'ume&i8& So've prob'ems invo'ving
vo'ume o+ right cy'inders andright prisms&
i& Derive the +ormu'a +or the
vo'ume o+ right pyramids andcones&ii& .a'cu'ate the vo'ume o+ a right
pyramid&iii& .a'cu'ate the height o+ a right
pyramid&iv& .a'cu'ate the area o+ the base
o+ a right pyramid&v& .a'cu'ate the vo'ume o+ right
cone&vi& .a'cu'ate the height o+ a right
cone&vii& .a'cu'ate the radius o+ thebase o+ a right cone&
viii& So've prob'ems invo'vingvo'ume o+ right pyramids andright cones&
i& .a'cu'ate the vo'ume o+ asphere&
LL6S0A0O5''ustrate students ho toper+orm computations-
represent o+ so'ving prob'ems&0ry ith di++erent e8amp'es95,O.939509va'uate segment to +urtherrein+orce the concept 'earnt A77L.A0O5S0eachers make use o+ theSo'id :eometry Sca'eDraing :enerator +ond in theactivity segment to pose/uestions&
9;7LOA0O5S9ncourage students to posethe ansers and crosscheckith the anser provided bythe So'id :eometry Sca'eDraing :enerator 9AL6A0O5S>o'd .ompetition inc'assroom to encourageparticipation&6se the e8tension segment o+
the .D$om as an e8amp'e+or students to try the/uestions&7rint out orksheets +oundunder 9va'uation +or the c'assto practice&9ncourage students to userevision +ound under9nhancement to revise the
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19
(!)
24C2"!#$
2%C2"!#
&Sca'eDraings
- 7er+orm .ompositeso'ids
Students i'' be taughtto*
- ecogni?e Sca'e
draings&
ii& .a'cu'ate the radius o+ asphere&
iii& So've prob'ems invo'ving
sphere&
i& .a'cu'ate vo'ume o+composite so'ids&
ii& So've prob'ems invo'vingvo'ume o+ composite so'ids&
Students i'' be ab'e to*
i& Sketch shapes&ii& Dra geometric shapes
according to sca'e !* n&iii& Dra composite shapesaccording to sca'es&
iv& Dra composite shapesaccording to given sca'es ongrids o+ di++erent si?es&
v& edra shapes on grids o+di++erent si?es&
vi& So've prob'ems invo'vingsca'e draings&
basic concept hennecessary&
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21
(!)
2!#2"!#$2C#2"!#
!!&Linear9/uations ()
Students i'' be taughtto*
- ecogni?e Linear9/uations in tovariab'es&
- So've Simu'taneousLinear 9/uations into variab'es&
ii& ,ind the sca'e +actor&iii& Determine the centre o+
en'argement&
iv& Determine the properties o+en'argement&v& .a'cu'ate the sca'e +actor and
'ength o+ the sides o+ animage or object&
vi& Determine the re'ationshipbeteen the area o+ the imageand its object&
vii& .a'cu'ate the area o+ animage or object and sca'e+actor&
viii& So've prob'ems invo'vingen'argement
Students i'' be ab'e to*
i& denti+y 'inear e/uations in tovariab'es&
ii& Derive a 'inear e/uation in tovariab'es&
iii& Determine the va'ue o+ a
variab'e&iv& Determine a possib'e so'ution+or a 'inear e/uation in tovariab'es&
i& denti+y simu'taneous 'ineare/uations&
ii& So've simu'taneous 'ineare/uations in to variab'es&
.D$O3 to i''ustrate thebasic conceptLL6S0A0O5
''ustrate students ho toper+orm computations-represent o+ so'ving prob'ems&0ry ith di++erent e8amp'es95,O.939509va'uate segment to +urtherrein+orce the concept 'earnt A77L.A0O5S0eachers make use o+ the0rans+ormations Linear9/uations :enerator +ond in
the activity segment to pose/uestions&9;7LOA0O5S9ncourage students to posethe ansers and crosscheckith the anser provided bythe 0rans+ormations Linear9/uations :enerator 9AL6A0O5S>o'd .ompetition inc'assroom to encourage
participation&6se the e8tension segment o+ the .D$om as an e8amp'e+or students to try the/uestions&7rint out orksheets +oundunder 9va'uation +or the c'assto practice&9ncourage students to use
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iii& So've prob'ems invo'vingsimu'taneous 'inear e/uationsin to variab'es&
revision +ound under9nhancement to revise thebasic concept hennecessary&
Week Learning Area Learning Objectives Learning Outcomes Strategy and Approach
22,23
(2)
2%#2"!#$B2"!#
!2&Linearne/ua'ities
Students i'' be taughtto*
- Write ine/ua'ities&
- ecogni?e 'inearine/ua'ities in oneunknon&
- 7er+orm operations
I- J- 8 and K on a'inear ine/ua'ity&
- denti+ysimu'taneous 'inearine/ua'ities in onevariab'e&
Students i'' be ab'e to*
i& 6nderstand re'ationship o+ theHgreater thanE and H'ess thanE&
ii& 98press the re'ationshipbeteen to numbers&
iii& Determine the re'ationship o+Hgreater than or e/ua' toE and
H'ess than or e/ua' toE&
i& denti+y 'inear ine/ua'ities&ii& Determine possib'e so'utions
+or an unknon&iii& epresent a 'inear e/uation
on a number 'ine and viceversa&
iv& ,orm a 'inear ine/ua'ity&
i& Add or subtract on a 'inear
ine/ua'ity&ii& 3u'tip'y and divide on a 'inearine/ua'ity&
iii& ,orm 'inear ine/ua'ities&
i& epresent the common va'ueso+ to 'inear ine/ua'ities on anumber 'ine&
.D$O3- ideo50OD6.0O57'ay the introduction video+rom the .D$O37rompt pupi's +or moree8amp'es +rom rea' 'i+e.O509506se content segment o+ the
.D$O3 to i''ustrate thebasic conceptLL6S0A0O5''ustrate students ho toper+orm computations-represent o+ so'ving prob'ems&0ry ith di++erent e8amp'es95,O.939509va'uate segment to +urtherrein+orce the concept 'earnt A77L.A0O5S
0eachers make use o+ theLinear ne/ua'ities :raph o+ ,unctions:enerator +ond in the activitysegment to pose /uestions&9;7LOA0O5S9ncourage students to posethe ansers and crosscheck
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!=&:raph o+,unctions
Students i'' be taughtto*
- Derive ,unctions&
- Derive :raph o+,unctions&
ii& Determine the e/uiva'entine/ua'ities +or to 'inearine/ua'ities&
iii& So've to simu'taneous 'inearine/ua'ities&
Students i'' be ab'e to*
i& 6nderstand re'ationshipbeteen to variab'es&
ii& Determine dependent variab'eand independent variab'e&
iii& .a'cu'ate the va'ue o+ adependent variab'e&
i& .onstruct a tab'e o+ va'ues&ii& Dra a graph o+ +unctions&iii& Determine the va'ues o+
variab'es +rom a graph&iv& So've prob'ems invo'ving
graphs o+ +unctions&
ith the anser provided bythe Linear ne/ua'ities :raph o+ ,unctions:enerator 9AL6A0O5S>o'd .ompetition inc'assroom to encourageparticipation&6se the e8tension segment o+ the .D$om as an e8amp'e+or students to try the/uestions&7rint out orksheets +oundunder 9va'uation +or the c'assto practice&9ncourage students to userevision +ound under9nhancement to revise thebasic concept hennecessary&
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25,26
(2)
!B2"!#$="B2"!#
!C&0rigonometry
- ecogni?e averagespeed&
- ecogni?eacce'eration&
Students i'' be taughtto*
- ecogni?e tangento+ an acute ang'e ina right$ang'edtriang'e&
- ecogni?e sine o+ anacute ang'e in aright$ang'ed triang'e&
speed&ii& .a'cu'ate and interpret speed&iii& .a'cu'ate distance and time
+or speed&iv& .hange the units o+ speed&v& Di++erentiate beteen uni+orm
speed and non$uni+orm speed&
i& .a'cu'ate the average speed&ii& .a'cu'ate the distance and the
time +or average speed&iii& So've prob'ems invo'ving
speed and average speed&
i& denti+y to /ua'ities +oracce'eration&
ii& .a'cu'ate and interpretacce'eration&
Students i'' be ab'e to*
i& denti+y the hypotenuse-opposite side and adjacentside&
ii& Determine the tangent o+ anang'e&
iii& .a'cu'ate the tangent o+ anang'e&
iv& .a'cu'ate the 'ength o+ sideso+ a triang'e&
i& Determine the sine o+ anang'e&
ii& .a'cu'ate the side o+ an ang'e&
''ustrate students ho toper+orm computations-represent o+ so'ving prob'ems&0ry ith di++erent e8amp'es95,O.939509va'uate segment to +urtherrein+orce the concept 'earnt A77L.A0O5S0eachers make use o+ theatios- ates and7roportions 0rigonometry:enerator +ond in the activitysegment to pose /uestions&9;7LOA0O5S9ncourage students to posethe ansers and crosscheckith the anser provided bythe atios- ates and7roportions 0rigonometry:enerator 9AL6A0O5S>o'd .ompetition inc'assroom to encourageparticipation&6se the e8tension segment o+ the .D$om as an e8amp'e+or students to try the/uestions&7rint out orksheets +oundunder 9va'uation +or the c'assto practice&9ncourage students to userevision +ound under9nhancement to revise the
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- ecogni?e cosine o+an acute ang'e in aright$ang'ed triang'e&
- denti+y using theva'ues o+ tangent-sine and cosine toso've prob'ems&
iii& .a'cu'ate the 'ength o+ sideso+ a triang'e&
i& Determine cosine o+ an ang'e&ii& .a'cu'ate the cosine o+ an
ang'e&iii& .a'cu'ate 'ength o+ sides o+ a
triang'e&
i& .a'cu'ate the va'ues o+ othertrigonometrica''y ratios- giventhe va'ue o+ onetrigonometrica''y ratio&
ii& .hange measurement units o+ ang'es&
iii& ,ind the va'ues o+ tangent-sine and cosine o+ ="1- 4C1and #"1 ithout using ascienti+ic ca'cu'ator&
iv& ,ind the va'ues o+ tangent-sine and cosine using ascienti+ic ca'cu'ator&
v& ,ind the ang'es using ascienti+ic ca'cu'ator
vi& So've prob'ems invo'vingtrigonometrica''y ratio&
basic concept hennecessary&
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$ 9SO5 $ 9SO5 $ 9SO5
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A$TER PT3 EAMINATION PROGRAMME
(23/8-27/8)PT3 TRIAL EXAM
(OCTOBER)
PT3 EXAM