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WEEK / DATE
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LEARNING OBJECTIVES
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LEARNING OUTCOMES
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Remarks
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WEEK 3
12 – 16 Jan
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1 LINES AND
ANGLES II
1.1 Understand and use properties of angles associated with transversal and
parallel lines.
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i. Identify:
ii. Determine that for parallel lines:
a) corresponding angles are equal
b) alternate angles are equal
c) sum of interior angles is 1800
iii. Find the values of:
a) corresponding angles
b) alternate angles
c) interior angles
associated with parallel lines.
iv. Determine
if two given lines are parallel based on the properties of angles associated with
transversals.
v. Solve
problems involving properties of angles associated with transversals.
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Week 4 - 5
19 – 23 Jan
26 – 30 Jan
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2 POLYGONS II
2.1 Understand the concept of regular polygon.
2.2 Understand and use the knowledge of
exterior and interior angles of polygons.
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i. Determine
if a given polygon is a regular polygon.
ii. Find:
(a)
the axes if symmetry
(b)
the number of
axis of a symmetry
of a
polygon.
iii. Sketch
regular polygons
iv. Draw regular polygons by dividing equally
the angle at the centre.
v. Construct equilateral triangles, squares
and regular hexagons.
i. Identify
the interior angles and exterior angles of a polygon.
ii. Find the
size of an exterior angle when the interior angle of a polygon is given and
vice versa.
iii. Determine the sum of the interior angles of
polygons.
iv. Determine
the sum of the exterior angles of polygons.
v. Find:
a.
the size of an
interior angle of a regular polygon given the number of sides.
b.
the size of an
exterior angle of a regular polygon given the number of sides.
c.
the number of sides of a regular polygon
given the size of the interior or exterior angle.
vi. Solve
problems involving angles and sides of polygons.
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Week 6 – 7
2 – 6 Feb
9 – 13 Feb
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3 CIRCLES II
3.1 Understand and use properties of circles
involving, symmetry, chords and arcs
3.2 Understand and use properties of angles in circles.
3.3 Understand and use the concept of cyclic
quadrilaterals.
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i. Identify a
diameter of a circle as an axis of symmetry
ii. Determine
that:
a)
a radius that
is perpendicular to a chord divides the chord into two equal parts and vice
versa.
b)
Perpendicular
bisectors of two chord intersect at the centre.
c)
Two chords that
are equal in length are equidistant from the centre and vice versa.
d)
Chords of the
same length cut arcs of the same length
iii. Solve
problems involving symmetry, chords and arcs of circles.
i. Identify
angles subtended by an arc at the centre and at the circumference of a
circle.
ii. Determine that the angles subtended at the
circumference by the same arc are equal.
iii. Determine that the angles subtended:
a.
at the
circumference
b.
at the centre
by arcs of the same length are equal.
iv. Determine the relationship between the
angles at the centre and the angle at the circumference subtended by an arc.
v. Determine the size of an angle subtended at
the circumference in a semicircle.
vi. Solve
problems involving angles subtended at the centre and angles at the
circumference of circles.
i. Identify
cyclic quadrilaterals.
ii. Identify
the interior opposite angles of cyclic quadrilaterals.
iii.
Determine the relationship between interior opposite angles of cyclic
quadrilaterals.
iv. Identify
exterior angles and the corresponding interior opposite angles of cyclic
quadrilaterals
v. Determine
the relationship between exterior angles and the corresponding interior
opposite angle of cyclic quadrilaterals.
vi. Solve
problems involving angles of cyclic quadrilaterals
vii. Solve
problems involving circles.
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Week 8
16 – 20 FEB
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TAHUN BARU CINA
19 & 20 FEB
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18 FEB CUTI PERISTIWA
16 & 17 FEB
CUTI GANTI
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Week 9 -10
23 –27 Feb
2 – 6 Mac
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4 STATISTICS II
4.1 Represent and interpret
data in pie charts to solve problems.
4.2 Understand and use the concept of mode,
median and mean to solve problems.
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i. Obtain and interpret information from pie charts.
ii. Construct pie charts to represent data.
iii. Solve problems involving pie charts.
iv. Determine suitable representation of data.
i.
Determine the
mode of:
a. sets of data
b. data given in
frequency tables
ii. Determine the mode and the respective frequency from
pictographs, bar charts, line graphs and pie charts.
iii.
Determine the
median for sets of data.
iv.
Determine the
median of data in frequency tables.
v.
Calculate the
mean of :
a. sets of data
b. data in
frequency tables.
vi.
Solve problems involving mode, median and
mean.
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Week 11
9 – 13 Mac
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5 INDICES
5.1 Understand the concept of indices.
5.2 Perform computations
involving multiplications of numbers in Index notation.
5.3. Perform computation involving division of numbers in index
notation.
5.4. Perform computations
involving raising numbers and algebraic terms in index notation to a power.
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i.
Express
repeated multiplication as an and vice versa.
ii.
Find the value
of an.
iii. Express numbers in index notation.
i.
Verify
ii.
Simplify
multiplication of:
a) numbers.
b) algebraic
terms
expressed in
Index notation with he same base.
iii.
Simplify multiplication of:
a) numbers
b) algebraic
terms
expressed in
Index notation with different bases.
ii. Simplify division of:
a) numbers
b)
algebraic terms
expressed in index notation with the same base.
i. Derive
ii.
Simplify:
a) numbers
b) algebraic terms
expressed in index notation raised
to a power.
iii.
Simplify
multiplication and division of:
a) numbers
b)
algebraic terms
expressed
in index notation with different bases raised to a power.
iv.
Perform
combined operations involving multiplication, division, and raised to a power
on:
a) numbers
b) algebraic terms.
i.
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Mid term test
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Week 12
16 – 20 Mar
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Mid term Holidays
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Week 13
23 – 27 Mar
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5.5. Perform computations involving negative indices.
5.6. Perform computations involving fractional indices.
5.7. Perform
computation involving laws of
indices.
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i. Verify
ii. State
 and vice versa.
iii. Perform combined operations of multiplication,
division and raising to a power involving negative indices on:
a)
numbers
b)
algebraic terms.
i. Verify
ii.
State
 and vice versa.
iii.
Find the value
of
iv.
State
 as:
a)
b)
v. Perform combined operations of multiplications,
divisions and raising to a power involving fractional indices on :
a) numbers
b) algebraic terms
i.Find the value of
.
ii.
Perform
multiplication, division, raised to a power or combination of these
operations on several numbers expressed in index notation.
iii.
Perform
combined operations of multiplication, division and raised to a power
involving positive, negative and fractional indices.
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Week 14 - 15
30 Mar – 3 Apr
6 – 10 Apr
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6 ALGEBRAIC
EXPRESSIONS III
6.1. Understand and use the
concept of expanding brackets.
6.2 Understand and use the concept of
factorization of algebraic expressions to solve problems.
6.3. Perform addition and subtraction on
algebraic fractions.
6.4. Perform multiplication
and division on algebraic fractions.
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i. Expand single brackets.
ii.
Expand two
brackets.
i. State factors of an algebraic term.
ii.
State common
factors and the HCF for several algebraic terms.
iii.
Factorise
algebraic expressions:
a) using common factor
b) the difference of two squares.
iv.
Factorise and
simplify algebraic fractions.
i. Add or subtract two algebraic fractions with the
same denominator.
ii. Add or subtract two algebraic fractions with one
denominator as a multiple of the other denominator.
iii. Add or subtract two algebraic fractions with
denominators:
a)
without any common factor
b)
with a common factor.
i. Multiply to algebraic fractions involving
denominator with:
a)
one term
b)
two terms
ii.
Divide two
algebraic fractions involving denominator with:
a)
one term
b)
two terms
iii. Perform multiplication and division of two
algebraic fractions using factorization involving common factors and the
difference of two squares.
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3
Apr
Good
Friday
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Week 16
13 – 17 Apr
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7 ALGEBRAIC
FORMULA
7.1 Understand the concept
of variables and constant
7.2 Understand the concept
of formulae to solve problems.
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a. Statement
b. Situation
iii.
Express a specified
variable as the subject of a formula involving:
a. one of the basic operation: +, - , x , ÷
b. powers or root
c. combination of the basic operations and powers or
roots
a. the subject of the formula
b. not the subject of the formula
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Week 17
20 – 24 Apr
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8 SOLID
GEOMETRY III
8.1 Understand and use the concept
of volume of right prisms and circular cylinders to solve problems.
8.2 Understand and use the
concept of volume of right pyramids and right circular cones to solve
problems.
8.3 Understand and use the
concept of volume of sphere to solve problems.
8.4 Apply the concept of
volume to solve problems involving composite solids.
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i.
Derive the
formula for volume of:
b. Prisms
c.
Cylinders
ii.
Calculate the
volume of right prism in cubic units given the height and:
a. the area of the base
b. dimensions of the base
iii.
Calculate the height of a prism given the
volume and the area of the base
iv.
Calculate the
area of the base of a prism given the volume and the height
a. area of the base and the height
b. radius of the base and the height
of
the cylinders
vi.
Calculate the
height of a cylinder given the volume
and the radius of the base
vii.
Calculate the
radius of the base of a cylinder given the volume and the height
a. mm³,cm³ and m³
b. cm³, ml and l
x.
Solve problems
involving volume of prisms and cylinder
i. Derive the formula for the volume of:
a) pyramids
b) cones
ii. Calculate the volume of pyramids in mm³,
cm³ and m³, given the height and:
a) area of the base
b) dimensions of base
iii. Calculate the height of a pyramids given
the volume and the dimension of the base
iv. Calculate the area of
the base of a pyramid given the volume and the height.
v. Calculate the volume of
a cone in mm³, cm³, and m³, given the height and radius of the base.
vi. Calculate the height of a cone, given the
volume and radius of the base.
vii. Calculate the radius of the base of a cone
given the volume and the height.
viii. Solve problems
involving volume of pyramids and cones.
i.
Calculate the
volume of a sphere given the radius of
the sphere.
ii.
Calculate the
radius of a sphere given the volume of the sphere
iii.
Solve problems
involving volume of sphere.
i.
Calculate the
volume composite solids.
ii.
Solve problems
involving volumes of composite solids.
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Week 18
27 Apr – 1 Mei
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9 SCALE
DRAWINGS
9.1 Understand the concept
of scale drawing.
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i. Sketch shapes:
(a) of the same size as the object
(b) smaller than the object
(c) larger than the object
using grid paper
ii. Draw geometric shapes according to
scale 1 : n, where n = 1, 2, 3, 4, 5,½,
1/10
iii. Draw composite shapes according to
given scale using:
(a) grid paper
(b) blank paper
iv. Redraw shapes on grids of different sizes.
v. Solve problems involving scale drawing
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1 Mei
Hari Pekerja
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Week 19
4
– 8 Mei
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4
Mei
cuti Wesak
5
– 8 Mei
Karnival Sukan
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week 20 – 21
11– 15 Mei
18 – 22 Mei
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10
TRANFORMATIONS II
10.1
Understand and
use the concept of similarity
10.2
Understand and
use the concept of enlargement
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i.
Identify if
given shapes are similar.
ii.
Calculate the
lengths of unknown sides of two similar shapes.
i. Identify an enlargement.
ii. Find the scale factor, given the object and
its image of an enlargement when:
a)
scale factor
> 0
b)
scale factor
< 0
iii. Determine the centre of enlargement, given
the object and its image.
iv. Determine the image of an object given the centre of enlargement
and the scale factor.
v. Determine
the properties of enlargement.
vi.
Calculate:
a)
the scale
factor
b)
lengths of the
side of the image
c)
length of the
side of the object
d)
an enlargement
vii.
Determine
the relationship between the area of the image and its object.
viii. Calculate the:
a)
area
of image
b)
area
of object
c)
scale
factor
of an enlargement.
ix. Solve problems involving enlargement.
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Week 22
25 – 29 MEI
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1st
semester examination
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Week 23 – 24
1 – 12 JUN
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Mid Year
Holidays (2 weeks)
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Gawai
1 & 2 June
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Week 25
15 – 19 Jun
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11 LINEAR
EQUATIONS II
11.1
Understand and
use the concept of linear equations in two variables
11.2
Understand and
use the concept of two simultaneous linear equations in two variables to
solve problems
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i. Determine if an equation is a linear
equation in two variables.
ii. Write linear equations in two variables
from given information.
iii. Determine the value of a variable given the
other variables.
iv. Determine the possible solutions for a
linear equation in two variables.
i. Determine if two given equations are
simultaneous linear equations.
ii. Solve two simultaneous linear equations in
two variables by
a)
substitution
b)
elimination
iii. Solve problems involving two simultaneous
linear equations in two variables.
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Week 26
22 – 26 Jun
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12 LINEAR
INEQUALITIES
12.1
Understand and
use the concept of inequalities
12.2
Understand and
use the concept of linear inequalities in one unknown
12.3
Perform
computations involving addition, subtraction, multiplication and division on
inequalities
12.4
Perform
computations to solve inequalities in one variable
12.5
Understand the
concept of simultaneous linear inequalities in one variable
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i. Identify the relationship:
a)
greater
than
b)
less
than
based on given situations.
ii. Write the relationship between two given numbers
using the symbol “>”or “<”.
iii. Identify the relationship:
a)
greater
than or equal to
b)
less
than or equal to
based on given situations.
i.
Determine if a given relationship is a linear inequality.
ii. Determine the possible solutions for a given
linear inequality in one unknown:
a)
x > h;
b)
x < h;
c)
x ≥ h;
d)
x ≤ h.
iii. Represent a linear inequality:
a)
x > h;
b)
x < h;
c)
x ≥ h;
d)
x ≤ h.
on a number line and vice versa.
iv. Construct linear inequalities using
symbols:
a)
“>”
or “<”
b)
“≥”
or “≤”
from given information.
i. State a new inequality for a given
inequality when a number is:
a)
added
to
b)
subtracted
from
both sides of the inequalities.
ii.
State a new inequality for a given inequality when both sides of the
inequalities are:
a)
multiplied
by a number
b)
divided
by a number.
iii. Construct inequalities
a)
x + k > m + k
b)
x – k > m – k
c)
kx > km
d)
from given
information.
i.
Solve a linear inequality by
a)
adding
a number
b)
subtracting
a number
on both sides of the inequality.
ii.
Solve a linear inequality by
a)
multiplying
a number
b)
dividing
a number
on both sides of the inequality.
iii.
Solve linear inequalities in one variable using a combination of
operations.
i. Represent the common values of two
simultaneous linear inequalities on a number line.
ii. Determine the equivalent inequalities
for two given linear inequalities.
iii. Solve two simultaneous linear inequalities.
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UJIAN PELBAGAI INSTRUMENT
GEOGRAFI
21 JUN – 3 JUL
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Week 27
29 Jun – 3 Julai
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13 GRAPHS OF
FUNTIONS
13.1 Understand and use the concept of function
13.2 Draw and use graph of functions.
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Week 28
6 – 10 Jul
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14 RATIOS,
RATES AND PROPORTIONS II
14.1 Understand the concept
of rate and perform computations
involving rates.
14.2Understand and use the concept of speed.
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a). the distance, given the speed and the
time.
b). the time, given the speed and the
distance.
.
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UJIAN PELBAGAI INSTRUMEN SEJARAH 5 – 16 JUL
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Week 29
13 - 17 JUL
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HARI RAYA PUASA
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17 & 18 JUL
HARI RAYA PUASA
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Week 30
20 – 24 Jul
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14.3 Understand and use the concept of average
speed.
14.4
Understand and use the concept of acceleration
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i.
Identify the
two quantities involved in acceleration.
ii. Calculate and interpret
acceleration
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Wek 31 – 32
27 – 31 Jul
3 – 7 Aug
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15 TRIGONOMETRY
15.1 Understand and use tangent an acute angle
in a right-angled triangle.
15.2 Understand and use sine of an acute
angle in a right-angled triangle.
15.3 Understand and use cosine of an acute angle
in a right-angled triangle.
15.4 Use the values of tangent, sine and cosine
to solve problems.
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i.
Identify the:
a. Hypotenuse
b. The opposite side and the adjacent side with respect
to one of the acute angles.
ii.
Determine the
tangent of an angle.
iii. Calculate the tangent of an angle given the lengths
of sides of the triangle.
iv. Calculate the lengths of sides of a triangle given
the value of tangent and the length of another side.
i.
Determine the sine of an angle.
ii. Calculate
the sine of an angle given the lengths of sides of the triangle.
iii. Calculate
the lengths of sides of a triangle given the value of sine and length of
another side.
i.
Determine the cosine of an angle.
ii.
Calculate the cosine of an angle given
the lengths of sides of the triangle
iii. Calculate
the lengths of sides of a triangle given the value of cosine and the length
of another side..
i.
Calculate the value of other trigonometric
ratios given the value of a trigonometric ratio.
ii.
Convert the measurement of angles from
a. degrees to
degrees and minutes.
b. degrees and
minutes to degrees.
iii. Find the value of :
a.
tangent
b.
sine
c.
cosine
of
30o, 45o and 60o without using scientific
calculator.
iv. Find the value of:
a.
Tangent
b.
Sine
c.
cosine
using
scientific calculator.
v. Find the angles given the values of:
a)
tangent
b)
sine
c)
cosine
using scientific calculators.
vi. Solve problems involving trigonometric
ratios.
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UJIAN
LISAN BERTUTUR
4 – 8 AUG
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Week 33 – 36
10 Aug – 4 Sept
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ULANGKAJI PT3
UJIAN MENDENGAR BAHASA MELAYU 11 AUG
UJIAN MENDENGAR BAHASA INGGERIS 12 AUG
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Week 37 - 38
7 – 18Sept
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PERCUBAAN PT3
16 Sept
Hari Malaysia
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Week 39
21 – 25 SEPT
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Mid term Holidays
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Week 40 – 41
28 Sept – 2 Okt
5 – 9 Okt
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ULANGKAJI PT3
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Week 42
12 – 16 Okt
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UJIAN BERTULIS PT3
14
Okt Awal
Muharram
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WEEK 43 – 47
19 Okt – 20 Nov
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PROGRAM PASCA PT3
10 Nov Hari
Deepavali
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Tuesday, February 3, 2015
RANCANGAN PENGAJARAN TAHUNAN TINGKATAN 3
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