mathematics yearly plan f4 2013

8/13/2019 Mathematics Yearly Plan F4 2013

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WEEK / DATE LEARNING O!ECTI"ES

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LEARNING OUTCOMES

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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!-

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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

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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

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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

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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


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+.+ 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.

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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 +.* -%* *:#+%' .*+.*

+ '+%-.+ &%*' * $&&*&

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$''*' +.#-. -%* $%+ %' $&&*& +

+.* '+%-.+ &%*

% S&* $&*5' %&%- *:#+%' B

'+%-.+ &%*'

W**6 1?

(< 10 M 2013)

10


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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*


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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

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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*+

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%%% D*+*5%* +.* '5$&* '$8* B

*9$*%5*+

1(


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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+


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3 A#- 2013 1> A#- 2013

SECOND MID TERM HOLIDAY

L*%- A* > C%8&*' III

W**6 34


16/22


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REMARK

% &+*+* '*-5*+

% S&* $&*5' %&%- +-*+ + 8%8&*

-&* % &+*+* '*-5*+


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REMARK

) +.* * Bx@8%+*

8) +.* +% By@8%+* +x@

8%+*

B '**& $%+' +.* 8%8#5B**8* B +.*#%+ 8%8&*

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8) coordinate

coordinatetan

=

x

y

iv. D*+*5%* +.* *' B

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8) +

1;


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REMARK

B ?0 3


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REMARK

9% F% +.* -&*' *+** 0 3


20/22


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W**6 3= 10.1 Understand and use the concept of angle of elevation

and angle of depression to solve problems.

% I*+%B

) +.* .%+& &%*

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b +.* -&* B *$*''%,

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*&*+% +.* -&* 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

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v. I*+%B 5&' + -%* $&*

% D*+*5%* +.* +.-& $J*8+% B

&%* $&*

20


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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

mathematics yearly plan f4 2013

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