lesson plan math f3 2015

8/20/2019 Lesson Plan Math f3 2015

1/18

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


2/18

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 ()


- 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&


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


3/18

- 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


4/18

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 ()


- denti+y properties o+circ'es invo'vingsymmetry- chordsand arcs&

- denti+y properties o+ang'es in a circ'e


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


5/18

- .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&


6/18

- 3ode- 3edian and3ean&

i& Determine the mode +or a seto+ data&

ii& Determine the mode and itscorresponding +re/uency +rom7ictograms-


7/18

necessary&


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&


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


8/18


9/18

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


10/18

14,15

(2)

!42"!#$="42"!#

B&

A'gebraic,ormu'a

Students i'' be taught

to*

- ecogni?e ariab'esand .onstants&

- ecogni?e ,ormu'a&


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



11/18

- ,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


12/18

19

(!)

24C2"!#$

2%C2"!#

&Sca'eDraings

- 7er+orm .ompositeso'ids


- 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&


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&



13/18

21

(!)

2!#2"!#$2C#2"!#

!!&Linear9/uations ()


- 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


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


14/18

iii& So've prob'ems invo'vingsimu'taneous 'inear e/uationsin to variab'es&



22,23

(2)

2%#2"!#$B2"!#

!2&Linearne/ua'ities


- 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&


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

14


15/18

!=&:raph o+,unctions


- 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&


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&


16/18

25,26

(2)

!B2"!#$="B2"!#

!C&0rigonometry

- ecogni?e averagespeed&

- ecogni?eacce'eration&


- 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&


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


17/18

- 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&



18/18

$ 9SO5 $ 9SO5 $ 9SO5

18

A$TER PT3 EAMINATION PROGRAMME

(23/8-27/8)PT3 TRIAL EXAM

(OCTOBER)

PT3 EXAM

lesson plan math f3 2015

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