8/13/2019 Mathematics Yearly Plan F4 2013
1/22
8/13/2019 Mathematics Yearly Plan F4 2013
2/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
ii. $orm quadratic e"pressions b! multipl!ing an!
two linear e"pressions
iii. $orm quadratic e"pressions based on specific
situations
2.2 $actori%e quadratic e"pression i. $actori%e quadratic e"pressions of the form
ax2& bx & c, where b' 0 or c' 0
ii. $actori%e quadratic e"pressions of the form
px2q,pand qare perfect squares
iii. $actori%e quadratic e"pressions of the form
ax2& bx & c, where a, band cnot equal to %ero
iv. $actori%e quadratic e"pressions containing
coefficients with common factors
W**6 4 2.( Understand the concept of quadratic equation i. #dentif! quadratic equations with one un)nown
ii. *rite quadratic equations in general form
i.e.
ax2& bx & c' 0
iii. $orm quadratic equations based on specific
situations2.+ Understand and use the concept of roots of quadratic
equations to solve problems
i. etermine whether a given value is a root of a
specific quadratic equation
ii. etermine the solutions for quadratic
equations b!-
2
8/13/2019 Mathematics Yearly Plan F4 2013
3/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
a trial and error method/
b factori%ation
iii. Solve problems involving quadratic equations
L*%- A* 3 S*+'
W**6 ; (.1 Understand the concept of set i. Sort given obects into groups
ii. efine sets b!-
a descriptions
b using set notation
iii. #dentif! whether a given obect is an element of a
set and use the s!mbol or
iv. Represent sets b! using enn diagram
v. 3ist the elements and state the number of
elements of a set
vi. etermine whether a set is an empt! set
vii. etermine whether two sets are equal.
(.2 Understand and use the concept of subset, universal
set and the complement of a set.
i. etermine whether a given set is a subset of a
specific set and use the s!mbol or
ii. Represent subset using enn diagram
iii. 3ist the subsets for a specific set
iv. #llustrate the relationship between set and
universal set using enn diagram
(
8/13/2019 Mathematics Yearly Plan F4 2013
4/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
v. etermine the complement of a given set
vi. etermine the relationship between set, subset,
universal set and the complement of a set
W**6 < (.( Perform operation on sets- a 4he intersection of sets
b 4he union of sets
i. etermine the intersection of-a two sets/
b three sets/
and use the s!mbol /
ii. Represent the intersection of sets using enn
diagram
iii. State the relationship between
a Aand A/
b Aand
iv. etermine the complement of the intersection of
sets
v. Solve problems involving the intersection of sets
vi. etermine the union of-
a two sets/
b three setsand use the s!mbol U
vii. Represent the union of sets using enn diagram/
viii. State the relationship between
+
8/13/2019 Mathematics Yearly Plan F4 2013
5/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
a Aand A/
b Aand
i". etermine the complement of the union of sets
". Solve problems involving the union of sets
"i. etermine the outcome of combined operations
on sets
"ii. Solve problems involving combined operations
on sets
W**6 = (11 1; F* 2013 )
CHINESE NEW YEAR HOLIDAYS
L*%- A* 4 M+.*5+%8& R*'%-
W**6 > +.1 Understand the concept of statement i. etermine whether a given sentence is a
statement
ii. etermine whether a given statement is true or
false
iii. onstruct true or false statement using given
numbers and mathematical s!mbols
+.2 Understand the concept of quantifiers 5all6 and 5some6 i. onstruct statements using the quantifier-
a all
b some
ii. etermine whether a statement that contains the
7
8/13/2019 Mathematics Yearly Plan F4 2013
6/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
quantifier 5all6 is true or false
iii. etermine whether a statement can be
generali%ed to cover all cases b! using the
quantifier 5all6iv. onstruct a true statement using the quantifier
5all6 or 5some6, given an obect and a propert!
W**6 ? +.( Perform operation involving the words 5not6 or 5no6,
5and6 and 5or6 on statements
i. hange the truth value of a given statement b!
placing the word 5not6 into the original
statement
ii. #dentif! two statements from a compound
statement that contains the word 5and6
iii. $orm a compound statement b! combining two
given statements using the word 5and
iv. #dentif! two statement from a compound
statement that contains the word 5or6
v. $orm a compound statement b! combining two
given statements using the word 5or6
vi. etermine the truth value of a compound
statement which is the combination of two
statements with the word 5and6
vii. etermine the truth value of a compound
statement which is the combination of two
statements with the word 5or6
8
8/13/2019 Mathematics Yearly Plan F4 2013
7/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
+.+ Understand the concept of implication i. #dentif! the antecedent and consequent of and
implication 5ifp, then q6
ii. *rite two implications from a compound
statement containing 5if and onl! if6.iii. onstruct mathematical statements in the
form of implication-
a #fp, then q/
b pif and onl! if q
iv. etermine the converse of a given implication
v. etermine whether the converse of an
implication is true or false
W**6 10 +.7 Understand and use the concept of argument i. #dentif! the premises and conclusion of a simple
argument.
ii. 9a)e a conclusion based on two given premises
for -
a :rgument $orm #/
b :rgument $orm ##/
c :rgument $orm ###.
iii. omplete an argument, given a premise and the
conclusion.
W**6 11 +.8 Understand and use the concept of deduction and
induction to solve problems.
i. etermine whether a conclusion is made
through-
a reasoning b! deduction/
b reasoning b! induction.
;
8/13/2019 Mathematics Yearly Plan F4 2013
8/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
ii. 9a)e a conclusion for a specific case based on a
given general statement b! deduction.
iii. 9a)e a generali%ation based on the pattern of a
numerical sequence b! induction.iv. Use deduction and induction in problem solving.
W**6 12 (1> M8. 2013 22 M8. 2013)
1'+MIDTERM TEST
W**6 13 23 M8. 2013 31 M8. 2013
1'+MID@TERM HOLIDAYS
W**6 14 iscuss the e"am paper
L*%- A* ; T.* S+%-.+ L%*
W**6 1; 7.1 Understand the concept of gradient of a straight line/ i. etermine the vertical and hori%ontal distances
between two given points on a straight line.
ii. etermine the ratio of vertical distance to
hori%ontal distance.
7.2 Understand the concept of gradient of a straight line in
artesian coordinates/
i. erive the formula for the gradient of a straight
line.ii. alculate the gradient of a straight line passing
through two points
iii. etermine the relationship between the
value of the gradient and the-
7.7 Understand and use the concept of parallel lines. i "*%B +.+ + $&&*& &%*' .* +.* '5*
-%*+ %8* *'
%% D*+*5%* B5 +.* -%* *:#+%' .*+.*
+ '+%-.+ &%*' * $&&*&
%%% F% +.* *:#+% B +.* '+%-.+ &%* .%8.
$''*' +.#-. -%* $%+ %' $&&*& +
+.* '+%-.+ &%*
% S&* $&*5' %&%- *:#+%' B
'+%-.+ &%*'
W**6 1?
(< 10 M 2013)
10
8/13/2019 Mathematics Yearly Plan F4 2013
11/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
R*%'%
W**6 20 W**6 21
13 M 2013 23 M 2013FIRST TERM TEST
W**6 22 W**6 23
24 M 2013 ? !#* 2013
FIRST TERM HOLIDAY
W**6 24 D%'8#''%
L*%- A*
8/13/2019 Mathematics Yearly Plan F4 2013
12/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
8.2 Understand and use the mode and mean of grouped
data
i. etermine the modal class from the frequenc!
table of grouped data.
ii. alculate the midpoint of a class
iii. erif! the formula for the mean of grouped data.iv. alculate the mean from the frequenc! table of
grouped data.
v. iscuss the effect of the si%e of class interval on
the accurac! of the mean for a specific set of
grouped data.
W**6 2< 8.( Represent and interpret data in histograms with class
intervals of the same si%e to solve problems.
i. raw a histogram based on the frequenc! table
of a grouped data.
ii. #nterpret information from a given histogram
iii. Solve problems involving histograms.
8.+ Represent and interpret data in frequenc! pol!gons to
solve problems.
i. raw the frequenc! pol!gon based on-
a histogram
b a frequenc! table
ii. #nterpret information from a given frequenc!
pol!gon.
iii. Solve problems involving frequenc!
pol!gon.
W**6 2=
8.7 Understand the concept of cumulative frequenc! i. onstruct the cumulative frequenc! table for-
a grouped data
b ungrouped data
12
8/13/2019 Mathematics Yearly Plan F4 2013
13/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
ii. raw the ogive for-
a ungrouped data
b grouped data
8.8 Understand and use the concept of measures of
dispersion to solve problems.
i. etermine the range of a set of data
ii. etermine-
a the median
b the first quartile
c the third quartile
d the interquartile range
from the ogive
iii. #nterpret information from an ogive
iv Solve problems involving data representations
and measures of dispersion
L*%- A* = P%&%+ I
W**6 2> ;.1 understand the concept of sample space % D*+*5%* .*+.* #+85* %' $''%&*
#+85* B *9$*%5*+
%% L%'+ && +.* $''%&* #+85*' B
*9$*%5*+
) B5 8+%%+%*') *'%-
%%% D*+*5%* +.* '5$&* '$8* B
*9$*%5*+
1(
8/13/2019 Mathematics Yearly Plan F4 2013
14/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
% W%+* +.* '5$&* '$8* #'%- '*+ ++%'
;.2 understand the concept of events. % I*+%B +.* *&*5*+' B '5$&* '$8* .%8.
'+%'B -%* 8%+%'%% L%'+ && +.* *&*5*+' B '5$&* '$8* .%8.
'+%'B 8*+% 8%+%' #'%- '*+ ++%'
%%% D*+*5%* .*+.* **+ %' $''%&*
B '5$&* '$8*
W**6 2? ;.( Understand and use the concept of probabilit! of an
event to solve problems
i. F% +.* +% B +.* #5* B +%5*' **+
88#' + +.* #5* B +%&'
%% F% +.* $%&%+ B **+ B5 %-
*#-. #5* B +%&'
%%% C&8#&+* +.* *9$*8+* #5* B +%5*'
**+ %&& 88#, -%* +.* $%&%+ B +.*
**+ #5* B +%&'
iv. Solve problems involving probabilit!
v. Predict the occurrence of an outcome and ma)e a
decision based on )nown information.
W**6 30 W**6 31( 22 !#& 2013 1 A#-#'+ 2013)
SECOND MID TERM EAMINATION
W**6 34
1+
8/13/2019 Mathematics Yearly Plan F4 2013
15/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
3 A#- 2013 1> A#- 2013
SECOND MID TERM HOLIDAY
L*%- A* > C%8&*' III
W**6 34
8/13/2019 Mathematics Yearly Plan F4 2013
16/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
% &+*+* '*-5*+
% S&* $&*5' %&%- +-*+ + 8%8&*
-&* % &+*+* '*-5*+
8/13/2019 Mathematics Yearly Plan F4 2013
17/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
) +.* * Bx@8%+*
8) +.* +% By@8%+* +x@
8%+*
B '**& $%+' +.* 8%8#5B**8* B +.*#%+ 8%8&*
%%% "*%B +.+, B -&* % :#+ I B
+.* #%+ 8%8&*
) '% y@8%+*
) 8' x@8%+*
8) coordinate
coordinatetan
=
x
y
iv. D*+*5%* +.* *' B
) '%*
) 8'%*
8) +-*+
B -&* % :#+ I B +.* #%+ 8%8&*
D*+*5%* +.* *' B
) '%
) 8'
8) +
1;
8/13/2019 Mathematics Yearly Plan F4 2013
18/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
B ?0 3
8/13/2019 Mathematics Yearly Plan F4 2013
19/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
9% F% +.* -&*' *+** 0 3
8/13/2019 Mathematics Yearly Plan F4 2013
20/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
W**6 3= 10.1 Understand and use the concept of angle of elevation
and angle of depression to solve problems.
% I*+%B
) +.* .%+& &%*
) +.* -&* B *&*+%
8) +.* -&* B *$*''%,B $+%8#& '%+#+%
%% R*$*'*+ $+%8#& '%+#+%
%&%-
a +.* -&* B *&*+%
b +.* -&* B *$*''%,
#'%- %-5'
%%% S&* $&*5' %&%- +.* -&* B
*&*+% +.* -&* B *$*''%
L*%- A* 11 L%*' P&*' % 3 @ D%5*'%'
W**6 3> 11.1 understand and use the concept of angle between
lines and planes to solve problems.
% I*+%B $&*'
%% I*+%B .%+& $&*', *+%8& $&*'
%8&%* $&*'
%%% S6*+8. +.** %5*'%& '.$* %*+%B
+.* '$*8%B%8 $&*'
iv. I*+%B
) &%*' +.+ &%*' $&*
) &%*' +.+ %+*'*8+ %+. $&*
v. I*+%B 5&' + -%* $&*
% D*+*5%* +.* +.-& $J*8+% B
&%* $&*
20
8/13/2019 Mathematics Yearly Plan F4 2013
21/22
WEEK / DATE LEARNING O!ECTI"ES
P#$%&' %&& * +#-.+ +
LEARNING OUTCOMES
P#$%&' %&& * &* +
REMARK
%% D 5* +.* +.-& $J*8+%
B &%* $&*
%%%D*+*5%* +.* -&* *+** &%*
$&*i". Solve problems involving the angle between
a line and a plane.
11.2 understand and use the concept of angle between
two planes to solve problems.
i. #dentif! the line of intersection between two
planes
ii. raw a line on each plane which is perpendicular
to the line of intersection of the two planes at a
point on the line of intersection
iii. etermine the angle between two planes on a
model and a given diagram/
iv. Solve problems involving lines and planes in (>
dimensional shapes.
W**6 3? Revision.
W**6 40@41
30 S*$ 11 O8+ 2013
FINAL YEAR EAMINATION
W**6 42 @ 4