scheme of work f4 matematik

8/13/2019 Scheme of Work F4 matematik

1/8

Sekolah Menengah Kebangsaan Tun Haji Abdul Malek , Cheng Melaka

Form 4 Mathematics Scheme of Work 2013Week Topics Subtopics CCTS

1 2

(21 111!

1" Standa#d $o#%

1"1 Signi&icant$igu#es

1"2 Standa#d $o#%

i!" #ound o&& positi'e nu%be#s to a gi'en nu%be#o& signi&icant &igu#es hen the nu%be#s a#e)

a!"g#eate# than 1*

b!"less than 1*

ii!"pe#&o#% ope#ations o& addition, subt#action,

%ultiplication and di'ision, in'ol'ing a &e nu%be#s and

state the anse# in speci&ic signi&icant &igu#es*

iii!"sol'e p#oble%s in'ol'ing signi&icant &igu#es*

i!" state positi'e nu%be#s in standa#d &o#% henthe nu%be#s a#e)

a!"g#eate# than o# e+ual to 1*

b!"less than 1*

ii!" con'e#t nu%be#s in standa#d &o#% to single nu%be#s*

iii!" pe#&o#% ope#ations o& addition, subt#action,

%ultiplication and di'ision, in'ol'ing an- to nu%be#s

and state the anse#s in standa#d &o#%*

i'!" sol'e p#oble%s in'ol'ing nu%be#s in standa#d &o#%"

Wo#king out %entall-

.sti%ating

/denti&-ing patte#n

0

(11 12!

2" 3uad#atic

.4p#essions and3uad#atic e+uations

2"1 3uad#atic.4p#essions

2"2 $acto#i5ation o&

+uad#atic

e4p#essions

2"0 3uad#atic

.+uations

2" 6oots o&

+uad#atic .+uations

i!" identi&- +uad#atic e4p#essions*ii!" &o#% +uad#atic e4p#essions b- %ultipl-ing an- to

linea# e4p#essions

iii!" &o#% +uad#atic e4p#essions based on speci&ic

situations*

i!" &acto#ise +uad#atic e4p#essions o& the &o#%

cbxax ++2 , he#e b7 o# c7 *

ii!" &acto#ise +uad#atic e4p#essions o& the &o#%px2q,p

and qa#e pe#&ect s+ua#es

&acto#ise +uad#atic e4p#essions o& the &o#% cbxax ++2 ,

he#e a, band cnot e+ual to 5e#o*iii!" &acto#ise +uad#atic e4p#essions containing

coe&&icients ithco%%on &acto#s*i!" identi&- +uad#atic e+uations ith one unknon*

ii!" #ite +uad#atic e+uations in gene#al&o#% i"e"

,2

=++ cbxax *

iii!" &o#% +uad#atic e+uations based on speci&ic

situations*

i!dete#%ine hethe# a gi'en 'alue is a #oot o& a speci&ic

+uad#atic e+uation*

ii!" dete#%ine the solutions &o# +uad#atic

e+uations b-)

a! t#ial and e##o# %ethod*

b! &acto#isation*iii!" sol'e p#oble%s in'ol'ing +uad#atic e+uations"

Co%pa#ing andcont#asting

T#- and e##o#

Wo#king out %entall-

8#oble% sol'ing

9

(2 :2!

0" Sets

0"1 Sets i!" so#t gi'en objects into g#oups*ii!" ;e&ine sets b-)

a" desc#iptions*

b" using set notation*

iii!" /denti&- hethe# a gi'en object is an ele%ent

o& a set and use the s-%bol o# *


2/8

0"2 Subset,

uni'e#sal set and

co%ple%ent o& a set

i'!" 6ep#esent sets b- using =enn diag#a%s'!" list the ele%ents and state the nu%be# o&

ele%ents o& a set*

'i!" ;ete#%ine hethe# a set is an e%pt- set*

'ii!" ;ete#%ine hethe# to sets a#e e+ual*i!" dete#%ine hethe# a gi'en set is a subset o& a

speci&ic set and use the s-%bol o# *

ii!" 6ep#esent subset using =enn diag#a%*

iii!" >ist the subsets &o# a speci&ic set*

i'!" /llust#ate the #elationship beteen set anduni'e#sal set using =enn diag#a%*

'!" dete#%ine the co%ple%ent o& a gi'en set

'i!" ;ete#%ine the #elationship beteen set, subset,

uni'e#sal set and the co%ple%ent o& a set

;#aing diag#a%s

? (112 12! Cuti Tahun @a#u Cina

: (1:2 222! jian Ke%ajuan 1

B 1

(22

:0!

0"0 pe#ation o&

sets

i!" dete#%ine the inte#section o&)

a" to sets*

b"th#ee sets*

and use the s-%bol *

ii!" #ep#esent the inte#section o& sets using

=enn diag#a%*

iii!"state the #elationship beteena. ABand A*

b. ABand B*

i'!"dete#%ine the co%ple%ent o& the

inte#section o& sets*

'!" sol'e p#oble%s in'ol'ing the inte#sectiono& sets*

'i!" dete#%ine the union o&)

c! to sets*

d! th#ee sets*and use the s-%bol *

'ii!" #ep#esent the union o& sets using =enn

diag#a%*

'iii!"state the #elationship beteena! ABand A*

b! ABand B*

i4!"dete#%ine the co%ple%ent o& the union

o& sets*

4!"sol'e p#oble%s in'ol'ing the union o&

sets*

4i!"dete#%ine the outco%e o& co%bined

ope#ations on sets*4ii!"sol'e p#oble%s in'ol'ing co%bined

ope#ations on sets"

11 12

(110

220!

" Mathe%atical

6easoning

"1 State%ents

"2 3uanti&ie#s o& D

all D and D so%e D

i!" dete#%ine hethe# a gi'en sentence is astate%ent*

ii!" ;ete#%ine hethe# a gi'en state%ent is t#ue

o# &alse*

iii!" Const#uct t#ue o# &alse state%ent using gi'en

nu%be#s and %athe%atical s-%bols*i!" const#uct state%ents using the +uanti&ie#) all

and so%e

ii!" ;ete#%ine hethe# a state%ent that contains

/nte#p#etation

Conceptuali5ing

Classi&-ing

Co%pa#ing and

cont#asting

2


3/8

"0 pe#ations on

state%ents

the +uanti&ie# DallE is t#ue o# &alse*iii!" ;ete#%ine hethe# a state%ent can be

0ene#ali5ed to co'e# all cases b- using the

+uanti&ie# DallE*

i'!"const#uct a t#ue state%ent using the +uanti&ie#

DallE o# Dso%eE, gi'en an object and a p#ope#t-"

i!"change the t#uth 'alue o& a gi'en state%ent b-

placing the o#d DnotE into the o#iginal

state%ent*

ii!" /denti&- to state%ents o% a co%poundstate%ent that contains the o#d Dand

iii!" $o#% a co%pound state%ent b- co%bining

to gi'en state%ents using the o#d DandE*

i'!" /denti&- to state%ent o% a co%pound

state%ent that contains the o#d Do#E

'!" &o#% a co%pound state%ent b- co%bining

to gi'en state%ents using the o#d Do#E*

'i!" ;ete#%ine the t#uth 'alue o& a co%poundstate%ent hich is the co%bination o& to

state%ents ith the o#d DandE*

'ii!" ;ete#%ine the t#uth 'alue o& a co%pound

state%ent hich is the co%bination o& to

state%ents ith theo#d Do#E"

;#aing analog-

10 (1 ! jian Ke%ajuan 2

1

(:

12!

" /%plications

" A#gu%ents

"9 ;eduction and

/nduction

i!" identi&- the antecedent and conse+uent o& an

i%plication Di&p, then qE*

ii!" #ite to i%plications o% a co%pound

state%ent containing Di& and onl- i&E*

iii!" const#uct %athe%atical state%ents in the

&o#% o& i%plication)

/&p, then q*

pi& and onl- i& q*i'!" dete#%ine the con'e#se o& a gi'en

i%plication*

'!" dete#%ine hethe# the con'e#se o& an

i%plication is t#ue o# &alse"i!" identi&- the p#e%ise and conclusion o& a gi'en

si%ple a#gu%ent*

ii!" %ake a conclusion based on to gi'en

p#e%ises &o#)A" A#gu%ent $o#% /*

@" A#gu%ent $o#% //*

C" A#gu%ent $o#% ///*

iii!" co%plete an a#gu%ent gi'en a p#e%ise and

the conclusion"

i!" dete#%ine hethe# a conclusion is %ade

th#ough)

a" #easoning b- deduction*

b" #easoning b- induction*ii!" %ake a conclusion &o# a speci&ic case basedon a gi'en gene#al state%ent, b- deduction*

iii!" %ake a gene#ali5ation based on the patte#n o&

a nu%e#ical se+uence, b- induction*

i'!" use deduction and induction in p#oble% sol'ing"

1 1?

(1

0!

" The St#aight >ine

"1


4/8

"2 ine in

Ca#tesian

coo#dinates

"0 /nte#cept

" .+uation o& a

St#aight line

" 8a#allel >ine

distance"i!" de#i'e the &o#%ula &o# the g#adient o& a st#aight line*

ii!" calculate the g#adient o& a st#aight line passing th#ough

to points*

iii!" dete#%ine the #elationship beteen the 'alue

o& the g#adient and the)

a" steepness,

b" di#ection o& inclination,

o& a st#aight line

i!" dete#%ine thexFinte#cept and theyFinte#cept o& a st#aight

line*

ii!" de#i'e the &o#%ula &o# the g#adient o& a st#aight line in

te#%s o& thexFinte#cept and theyFinte#cept*

iii!" pe#&o#% calculations in'ol'ing g#adient,xFinte#cept

andyFinte#cept

i!" d#a the g#aph gi'en an e+uation o& the &o#%

y7 mxG c*ii!" dete#%ine hethe# a gi'en point lies on a speci&ic

st#aight line* dete#%ine hethe# a gi'en point lies on a

speci&ic st#aight line*

iii!" #ite the e+uation o& the st#aight line gi'en the

g#adient andyFinte#cepti'!" dete#%ine the g#adient andyFinte#cept o& the

st#aight line hich e+uation is o& the &o#%)

a. y7 mxG c* b. axG by7 c*

'!" &ind the e+uation o& the st#aight line hich)

a" is pa#allel to thexFa4is*

b" is pa#allel to theyFa4is*

c" passes th#ough a gi'en point and has a

speci&ic g#adient*

d" passes th#ough to gi'enpoints*'i!" &ind the point o& inte#section o& to st#aight

lines b-)

a!" d#aing the to st#aight lines*b!" sol'ing si%ultaneous e+uations*

i!" 'e#i&- that to pa#allel lines ha'e the sa%e g#adient and

'ice 'e#sa*

ii!" dete#%ine o% the gi'en e+uations hethe# to

st#aight lines a#e pa#allel

iii!" &ind the e+uation o& the st#aight line hich passes

th#ough a gi'en point and is pa#allel to anothe# st#aight

line*i'!" sol'e p#oble%s in'ol'ing e+uations o& st#aight lines"

#elationshipMental 'isuali5ation

/nte#p#etation

1:(9

1!

9" Statistics lll9"1 Class /nte#'al i!" co%plete the class inte#'al &o# a set o& data gi'en one o&

the class inte#'als

ii!" dete#%ine)a!"the uppe# li%it and loe# li%it*

b!" the uppe# bounda#- and loe# bounda#-

o& a class in a g#ouped data*

iii!" calculate the si5e o& a class inte#'al*

i'!" dete#%ine the class inte#'al, gi'en a set o& data and the

nu%be# o& classes*

'!" dete#%ine a suitable class inte#'al &o# a gi'en set o&data*

'i!" const#uct a e+uenc- table &o# a gi'en set o& data"

Classi&-ing

/denti&-ing#elationship

Co%pa#ing and

Cont#asting


5/8

9"2 Mode and Meano&


6/8

decision based on knon in&o#%ation"

29 2?

(1?

29?!

:" Ci#cles

:"1 Tangent o& a

Ci#cle

:"2 Angle beteen

Tangent and Cho#d

:"0 Co%%on

Tangent

i!" identi&- tangents to a ci#cle*

ii!" %ake in&e#ence that the tangent to a ci#cle is a st#aight

line pe#pendicula# to the #adius that passes th#ough thecontact point*

iii!" const#uct the tangent to a ci#cle passing

th#ough a point)

a!" on the ci#cu%&e#ence o& the ci#cle*

b!" outside the ci#cle*

i'!" dete#%ine the p#ope#ties #elated to to tangents to a

ci#cle o% a gi'en point outside the ci#cle*

'!" sol'e p#oble%s in'ol'ing tangents to a ci#cle"

i!" identi&- the angle in the alte#nate seg%ent hich is

subtended b- the cho#d th#ough the contact point o& the

tangent*

ii!" 'e#i&- the #elationship beteen the angle &o#%ed b- the

tangent and the cho#d ith the angle in the alte#nate

seg%ent hich is subtended b- the cho#d*

iii!" pe#&o#% calculations in'ol'ing the angle in alte#nateseg%ent

a!" dete#%ine the nu%be# o& co%%on tangents

hich can be d#an to to ci#cles hich)b!" inte#sect at to points*

c!" inte#sect onl- at one point*

do not inte#sect*

i!" dete#%ine the p#ope#ties #elated to the

co%%on tangent to to ci#cles hich)

a!" inte#sect at to points*

b!" inte#sect onl- at one point*c!" do not inte#sect*

ii!" sol'e p#oble%s in'ol'ing co%%on tangents

to to ci#cles*

iii!" sol'e p#oble%s in'ol'ing tangents and

co%%on tangents"

;#aing ;iag#a%s

/denti&-ing#elationship

=isuali5ing

2: 2B(2B?

B:!

B" T#igono%et#-B"1 The 'alue o& sin

, cos and Tan

( I I 09 !

i!" identi&- the +uad#ants and angles in the unit ci#cle*

ii!" dete#%ine)

a!" the 'alue o&yFcoo#dinate*

b!" the 'alue o&xFcoo#dinate*c!" the #atio o&yFcoo#dinate toxFcoo#dinate*

o& se'e#al points on the ci#cu%&e#ence o& the unit ci#cle*

iii!" 'e#i&- that, &o# an angle in +uad#ant / o& the

unit ci#cle )

a!" sin 7yFcoo#dinate *

b!" cos7xFcoo#dinate*

coo#dinate

coo#dinate

tan

=

x

y

*

i'!" dete#%ine the 'alues o&

a sine* b" cosine* c" tangent*

o& an angle in +uad#ant / o& the unit ci#cle*

'!" dete#%ine the 'alues o&

a"sin * b" cos * c" tan * &o# B

09*

'i!" dete#%ine hethe# the 'alues o&)

Co%pa#ing and

cont#asting

;#aing diag#a%s

Making /n&e#ens

9


7/8

0

(1B:

20:!

B"2


8/8

the line o& inte#section o& the to planes at a point onthe line o& inte#section*

b!" dete#%ine the angle beteen to planes

on a %odel and a gi'en diag#a%*

ii!" sol'e p#oble%s in'ol'ing lines and planes in 0F

di%ensional shapes

0? 0: 6e'ision

0B 1 .nd o& ea# .4a%ination

:

scheme of work f4 matematik

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