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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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1 – 2
2 – 11 Jan
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1 LINES AND ANGLES II Students will be
taught to:
1.1 Understand and
use properties of angles associated
with transversal and parallel lines.
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Students will be able to:
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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3- 4
14 – 25 Jan
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2 POLYGONS II
Students will be taught to:
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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Students
will be able to:
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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Cuti Maulid (24/1)
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5
28 Jan –
2 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
c.
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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6
4 Feb –
8 Feb
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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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7
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Cuti Tahun Baru Cina
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Cuti peristiwa1
Cuti ganti 1
Cuti ganti 2
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8 – 9
18Feb – 1 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.
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.
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. 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
vi.
Find the value of
.
i. Perform
multiplication, division, raised to a power or combination of these
operations on several numbers expressed in index notation.
ii. Perform
combined operations of multiplication, division and raised to a power
involving positive, negative and fractional indices.
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4 - 12
11Mac – 22Mac
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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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Ujian Bulanan/ Pra 1
Minggu 11
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Week 13 – Mid Semester 1 Holiday (23 – 31
Mac 2012)
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Week/Date
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Learning Objectives
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Learning Outcomes
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Remarks
|
|
12 - 13
19Mac – 1 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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iii. Expand
single brackets.
iv.
Expand two brackets.
v. State
factors of an algebraic term.
vi.
State common factors and the HCF for several
algebraic terms.
vii. Factorise
algebraic expressions:
a) using common factor
b) the difference of two squares.
viii. Factorise
and simplify algebraic fractions.
iv. Add
or subtract two algebraic fractions with the same denominator.
v. Add
or subtract two algebraic fractions with one denominator as a multiple of the
other denominator.
vi. Add
or subtract two algebraic fractions with denominators:
a) without any common factor
b) with a common factor.
iii. Multiply
to algebraic fractions involving denominator with:
a) one term
b) two terms
iv.
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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14
1 –5 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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i. Determine
if a quantity in a given situation is a variable or a constant.
ii. Determine
the variable in a given situation and represent it with a letter symbol
iii.Determine the possible valuesof a
variable in a given situation
i. Write
a formula based on a given:
a. Statement
b. Situation
ii. Identify
the subject of a given formula
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
iv. Find the value of a
variable when it is:
a) the subject of
the formula
b) not the subject
of the formula
v. Solve problems
involving formulae.
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|
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15
8 – 12 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:
a)
Prisms
b)
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
v. Calculate the
volume of a cylinder in cubic units given:
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
viii. Convert
volume in one metric unit to another
a.
mm³,cm³ and m³
b.
cm³, ml and l
ix. Calculate
volume of liquid in a container.
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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6 Apr – Good Friday
9 Apr -Cuti peristiwa 2
14 Apr-
Sabtu Ganti 3
|
|
16
15Apr – 19 APR
|
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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17 - 18
22 Apr - 3 May
|
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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Hari Buruh
(1/5)
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|
19
6 - 10 May
|
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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|
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20
13 Jun – 17 Jul
|
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.
|
Hari Guru
(16/5)
|
|
21
20 – 24 May
|
|
1st semester Examination
|
Hari Wesak
( 24/5)
|
Week 22 – 23 = Mid Year Holidays ( 25 May – 9 June 2011 )
|
Week/Date
|
Learning Objectives
|
Learning Outcomes
|
Remarks
|
|
24
10
- 14 Jun
|
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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25
17– 21 Jun
|
14 RATIOS, RATES AND PROPORTIONS II
14.1 Understand the concept of rate and perform
computations involving
rates.
14.2
Understand and use the concept of speed.
14.3 Understand and
use the concept of average speed.
14.4 Understand and use the concept of acceleration
|
a). the distance, given the speed and the
time.
b). the time, given the speed and the
distance.
i.
Identify the two quantities involved in
acceleration.
ii. Calculate and interpret acceleration.
|
|
|
26 - 28
24 – 12 Jul
|
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.
|
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.
|
1hb Radhan
(11/7)
|
|
29 -30
15 - 26 Jul
|
*Revision
|
|
|
|
31
29 Jul – 2 ogo
|
*Percubaan PMR (13 – 17 Ogos)
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||
|
32 - 33
|
(5 Ogos – 16 Ogo)
Hari Raya
Aidilfitri / Cuti pertengahan penggal 2 (12 -18 Ogos)
Hari Kebangsaan (31 Ogos)
Hari Malaysia (16 Sept)
|
||
|
34 – 39
19 Ogo – 27 Sept
|
Revision
|
||
|
40 – 41
30 Sept – 11 Oct
|
PMR 2013
|
||
|
42 – 46
16 Oct – 15 Nov
|
Program pasca PMR
|
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