Yearly Plan Math Form 2 (2015)
|
DATE
|
LEARNING OBJECTIVES
|
LEARNING OUTCOME
|
REMARK
|
|
Minggu 3
12 – 16 Jan
|
1.
DIRECTED NUMBERS.
1.1 Perform computations involving
multiplication and division of integers to solve problems.
|
Students
will be able to:
i. Multiply integers.
ii. Solve problems involving multiplication of
integers.
iii.
Divide integers.
iv.
Solve problems involving division of
integers.
|
|
|
Minggu 4-5
19 – 23 JAN
26 – 30 JAN
|
1.2 Perform computations involving combined
operations of addition, subtraction, multiplication and division of integers
to solve problems.
1.3 Extend the concept of integers to fraction
to solve problems.
1.4
Extent the concept of integers to decimals to solve problems.
|
i. Perform computations involving combined
operations of addition, subtraction, multiplication and division of integers.
ii. Solve problems involving combined
operations of addition, subtraction, multiplication and division of integers
including the use of brackets.
i. Compare and order fractions.
ii. Perform addition, subtraction,
multiplication or division on fractions.
i. Compare and order decimals.
ii. Perform addition, subtraction,
multiplication or division on decimals.
|
|
|
Minggu 6
2 – 6 FEB
|
1.5
Perform computations involving directed numbers (integers, fractions and
decimals)
|
i. Perform addition, subtraction,
multiplication or division involving two
directed numbers.
ii. Perform computations involving
combination of two or more operations on
directed numbers including the use of
brackets.
iii.
Pose and solve problems involving directed numbers.
|
|
|
Minggu 7
9 – 13 FEB
|
2.
SQUARES, SQUARE ROOTS,
CUBES
AND CUBE ROOTS
2.1
Understand and use the concept of squares of numbers.
|
i. State a number multiplied by itself as a
number to the power of two and vice
versa
ii. Determine the squares of numbers without
using calculators
iii.
Estimate the squares of numbers.
iv.
Determine the squares of numbers using
calculators.
v. List perfect squares.
vi. Determine if a number is a perfect
square.
vii.
Pose and solve problems involving
squares of numbers.
|
|
|
Minggu 8
16 – 20 FEB
|
|
TAHUN BARU CINA
19 & 20 FEB
|
18 FEB CUTI PERISTIWA
16 & 17 FEB
CUTI GANTI
|
|
Week 9
23 – 27 FEB
|
2.2
Understand and use the concept of square roots of positive numbers.
|
i. Determine the relationship between squares
and square roots
ii. Determine the square roots of perfect
squares without using calculator.
iii.
Determine the square roots of numbers
without using calculators.
iv. Multiply two square roots
v. Estimate square roots of numbers.
vi. Find the square roots of numbers using
calculators.
vii.
Pose and solve problems involving
squares and square roots
|
|
|
Week 10
2 – 6 MAR
|
2.3
Understand and use the concept of cube of numbers.
|
i. State a number multiplied by itself twice
as
a number to the power of three and vice
versa.
ii. Determine cubes of numbers without using
calculators.
iii.
Estimate cubes of numbers.
iv.
Determine cubes of numbers using
calculators.
v. Pose and solve problems involving cubes
of numbers
|
|
|
2.4
Understand and use the concept of cube roots of numbers.
|
i. Determine the relationship between cubes
and cube roots.
ii. Determine the cube roots of integers
without using calculators.
iii.
Determine the cube roots of numbers
without using calculator.
iv.
Estimate cube roots of numbers.
v. Determine cube roots of numbers using
calculators.
vi. Pose and solve problems involving cubes
and cube roots.
vii.
Perform computations involving addition,
subtraction, multiplication, division
and
mixed operations on squares, square
roots,
cubes and cubes roots.
|
|
|
|
Week 11
9 – 13 MAR
|
3.
ALGEBRAIC
EXPRESSIONS II.
3.1
Understand the concept of algebraic terms in two or more unknowns
3.2 Perform computations involving division of
two or more terms multiplication and
|
i. Identify unknowns in algebraic terms in
two or more unknowns.
ii. Identify algebraic terms in two or more
unknowns as the product of the unknowns
with a number.
iii.
Identify coefficients in given algebraic
terms in two or more unknowns.
iv. Identify like and unlike algebraic terms
in
two or more unknowns.
v. State like terms for a given algebraic
term
.
i. Find the product of two algebraic terms.
ii. Find the quotient of two algebraic terms.
iii.
Perform multiplication and division
involving algebraic terms.
|
MID SEMESTER TEST
|
|
Week 12
16 – 20 MAR
|
|
CUTI
PETENGAHAN PENGGAL
|
|
|
Week 13
23 – 27 MAR
|
3.3
Understand the concept of algebraic expressions.
|
i. Write algebraic expressions for given
situations using letter symbols.
ii. Recognise algebraic expressions in two or
more unknowns.
iii.
Determine the number of terms in give
algebraic expressions in two or more
unknowns.
iv. Simplify algebraic expressions collecting
like terms.
v. Evaluate expressions by substituting
numbers for letters.
|
|
|
3.4
Perform computations
involving algebraic
expressions.
|
i. Multiply and divide algebraic expressions
by a number.
ii. Perform:
a)
addition
b)
subtraction
involving two algebraic expressions.
iii.
Simplify algebraic expressions.
|
|
|
|
Week 14
30 Mar – 3 Apr
|
4.
LINEAR EQUATIONS.
4.1
Understand and use the concept of equality.
4.2
Understand and use the concept of linear equations in one unknown.
|
i. State the relationship between two
quantities by using symbols ‘=’ or ‘
 ’
i. Recognise linear algebraic terms
ii. Recognise linear algebraic expressions
iii.
Determine if a given equation is:
a)
a linear
equation
b)
a linear equation
in one unknown.
iv.
Write linear equations in one unknown for
given statements and vice versa.
|
3 APR
GOOD FRIDAY
|
|
Minggu 15 & 16
6
– 10 APR
13 – 17 APR
|
4.3
Understand the
concept of solutions of linear
equations in one unknown.
|
i. Determine if a numerical value is a
solution
of a given linear equation in one
unknown.
ii.
Determine the solution of a linear equation
in one unknown by trial and improvement
method.
iii.
Solve equations in the form of;
a)
x + a = b
b)
x – a = b
c)
ax = b
d)
 = b
where a, b, c are integers and x
is an unknown.
iv.
Solve equations in the form of ax + b = c,
where a, b, c are integers and x
is an
known.
v. Solve linear equations in one unknown.
vi.
Pose and solve problems involving linear
equations in one unknown
|
|
|
Minggu 17
20 – 24 APR
|
5.
RATIOS, RATES AND
PROPORTIONS
5.1 Understand the concept of ratio of two
quantities.
|
i. Compare two quantities in the form a :
b
or
ii. Determine whether given ratios are
equivalent ratios.
iii.
Simplify ratios to the lowest terms.
iv.
State ratios related to a given ratio.
|
|
|
Minggu 18
27 APR – 1 MEI
|
5.2 Understand the concept of
proportion to solve problems.
|
i. State whether two pairs of quantities is a
proportion.
ii.
Determine if a quantity is proportional to
another quantity given two values of each
quantity.
iii.
Find the value of a quantity given the ratio
of
the two quantities and the value of
another quantity.
iv.
Find the value of a quantity given the ratio
and the sum of the two quantities.
v. Find the sum of two quantities given the
ratio of the
quantities and difference between the
quantities.
vi.
Pose and solve problems involving ratios and
proportions.
|
1 MEI
HARI PEKERJA
|
|
Week 19
2
– 8 Mei
|
|
|
3
Mei
cuti Wesak
4
– 8 Mei
Karnival Sukan
|
|
Week 20
11 – 15 MEI
|
5.3 Understand and use the concept of ratio of
three quantities to solve problems.
|
i.
Compare three quantities in the form a : b : c.
ii.
Determine whether given ratios are
equivalent ratios.
iii. Simplify ratio of three
quantities to the lowest
terms.
iv. State the ratio of any two
quantities give
ratio of three quantities.
v.
Find the ratio of a : b : c
given the ratio of a : b and b : c.
vi. Find the value of the other
quantities, given
the ratio of three quantities and the value of
one of the quantities.
vii. Find the value of each of the
three quantities
given:
a) the ratio and the sum of
three quantities.
b)
the ratio and the difference between two or three quantities
viii. Find the sum of three
quantities given the
ratio and the difference between two
of the
three quantities.
ix.
Pose and solve problems involving ratio of
three quantities.
|
|
|
Week 21
18 – 22 MEI
|
6. PYTHAGORAS’ THEOREM
6.1
Understand the relationship between the sides of a right-angled triangle.
6.2 Understand and use the
converse of the Pythagoras’
theorem.
|
i.
Identify the hypotenuse of right-angled triangles.
ii. Determine the relationship between the
lengths of the sides of a right-angled
triangle.
iii.
Find the length of the missing side of a
right-angled triangle using the
Pythagoras
theorem.
iv.
Find the length of sides of geometric
shapes using Pythagoras’ theorem.
v. Solve problems using the Pythagoras’
theorem.
i. Determine whether a triangle is a right-
angled triangle.
ii. Solve problems involving the converse
Pythagoras’ theorem.
|
|
|
Week 22
25 – 29 MEI
|
|
1st
semester examination
|
|
|
Week 23 – 24
1 – 12 JUN
|
|
Mid Year
Holidays (2 weeks)
|
Gawai
1 & 2 June
|
|
Minggu 25 & Minggu 26
15 - 19 JUN
22 – 26 JUN
|
7
GEOMETRICAL
CONSTRUCTION
7.1
Perform constructions using straight edge (ruler
and set square) and compass
|
i.
Construct a triangle given the length of the sides.
ii.
Construct a triangle given the length of the sides.
iii.
Construct:
a) perpendicular bisector of a
given line segment
b) perpendicular to a line
passing through a point on
the line
c) perpendicular to a line
passing through a point not
on the line.
iv.
Construct:
a) angle of 600 and 1200
b) bisector of an angle.
v.
Construct:
a) one side and two angles.
b) two side and one angle.
vi.
Construct:
a) parallel lines
b) parallelogram given its sides
and an angle.
|
|
|
Week 27
29 JUN – 3 JUL
|
8.
COORDINATES.
8.1
Understand and use the concept of
coordinates.
8.2
Understand and use the concept of scales for the coordinate axes.
|
i.
Identify the x-axis, y-axis and the origin on a Cartesian
plane.
ii.
Plot points and state the coordinates of the
points given distances from the y-axis
and x-axis.
iii. Plot points and state the distances from
the y-axis and x-axis
given coordinates of the points.
iv. State the coordinates of points on
Cartesian plane.
i. Mark the values on both axes by extending the sequence of given values
on the axes.
ii. State the scales used in given coordinate
axes where:
a) scales for axes are the same
b) scales for axes are different.
iii. Mark the values on both axes, with
reference to the scales given.
iv. State the coordinates of a given point
with reference to the scales given.
v.
Plot points, given the coordinates, with
reference to the scales given.
vi.
Pose and solve problems involving
coordinates.
|
|
|
Minggu 28
6 – 10 JUL
|
8.3
Understand and use the concept of distance between two points on a
Cartesian plane.
|
i.
Find the distance between two point with:
a) common y-coordinates
b) common x-coordinates.
ii.
Find the distance between two point using Pythagoras’ theorem.
iii.
Pose and solve problems involving
distance between two points.
|
|
|
Week 29
13 - 17 JUL
|
|
HARI RAYA PUASA
|
17 & 18 JUL
HARI RAYA PUASA
|
|
Week 30
20 – 24 JUL
|
8.4
Understand and use the
concept of midpoints.
|
i.
Identify the midpoint of a straight line
joining two points.
ii.
Find the coordinates of the midpoint of a
straight line joining two points with:
a) common y-coordinates
b) common x-coordinates.
iii.
Find the coordinates of midpoint of the
line joining two points.
iv. Pose and solve problems
|
|
|
Week 31
27 – 31 JUL
|
9. LOCI IN TWO DIMENSIONS.
9.1
Understand the concept of two-dimensional loci.
|
i. Describe and sketch the locus of a moving
object.
ii. Determine the locus of points that are of:
a)
constant distance from
the fixed point.
b)
equidistant from two
fixed point.
c)
constant distance from
a straight line.
d)
equidistant from
two intersecting lines
iii.
Construct the locus of a set of all points that satisfies the condition:
a)
the point is at a
constant distance from a fixed point.
b)
the point is at
equidistant from two fixed points
c)
the point is at a
constant distance from a straight line.
d)
the point is at
equidistant from two intersecting lines.
|
|
|
Week 32
3 – 7 AUG
|
9.2
Understand the concept of the intersection of two loci.
|
i. Determine the intersections of two loci by
drawing the loci and locating the points that satisfy the conditions of the
two loci.
|
|
|
Week 33
10 – 14 AUG
|
10. CIRCLES.
10.1
Recognise and draw parts of a circle.
10.2 Understand and use the concept of
circumference to solve problems.
|
i. Identify circle as a set of points
equidistant
from a fixed point.
ii. Identify parts of a circle:
a)
centre
b)
circumference
c)
radius
d)
diameter
e)
chord
f)
arc
g)
sector
h)
segment
iii. Draw:
a)
a circle given the
radius and centre.
b)
a circle given the
diameter.
c)
a diameter passing
through a specific point in a circle given the centre.
d)
a chord of a given
length passing through a point on the circumference.
e)
sector given the size
of the angle at the centre and radius of the circle.
iv.
Determine the:
a)
centre
b)
radius
of a given circle by construction.
i. Estimate the value of π.
ii. Derive
the formula of the circumference of a circle.
iii. Find the circumference of a circle,
given
its:
a)
diameter
b)
radius
iv. Find
the:
a)
diameter
b)
radius
given the
circumference of a circle.
v. Solve problems involving circumference
of circles.
|
|
|
Minggu 34
& 35
17 – 21 Ogos
24 – 28 OGOS
|
10.3
Understand and use the concept of arc of a circle to solve problems.
10.4
Understand and use the concept of area of a circle to solve problems
10.5
Understand and use the concept of area of sector of a circle to solve
problems.
|
i .
Derive the formula of the length of an arc.
ii. Find
the length of arc given the angle at the centre and the radius.
iii. Find
the angle at the centre given the length of the arc and the radius of a
circle.
iv. Find the length of radius of a circle given
the length of the arc and the angle at the centre.
v. Solve problems involving arcs of a circle.
i. Derive the formula of area of a circle.
ii. Find the area of a circle given the:
a) radius
b) diameter.
iii. Find:
a) radius
b) diameter
given the area of a circle.
iv. Find the area of a circle given the
circumference and vice versa.
v. Solve problems involving area of circles.
i. Derive
the formula of the area of a sector.
ii. Find
the area of a sector given the radius
and
angle at the centre.
iii. Find the angle at the centre given the
radius
and the area of sector.
iv. Find
the radius given the area of sector
and the
angle at the centre.
v. Solve
problems involving area of sectors
and
area of circles.
|
|
|
Minggu 36
31 AUG – 4 SEPT
|
11. TRANSFORMATIONS.
11.1
Understand the concept of transformations.
11.2
Understand and use the concept of translations.
11.3
Understand and use the
concept of reflections.
|
i. Identify a transformation as a one-to-
one correspondence between points in a
plane.
ii. Identify the object and its image in a
given transformation.
i. Identify a translation.
ii. Determine the image of an object under
a given translation.
iii.
Describe a translation:
a)
by stating the
direction and distance of the movement.
b)
in the form
 .
iv.
Determine the properties of translation.
v. Determine the coordinates of:
a)
the image, given
the coordinates of the object
b)
the object, given the
coordinates of the image
under a
transformation.
vi. Solve problems involving
translations.
i.
Identify a reflection.
ii.
Determine the image of an object under a
reflection on a given line.
iii. Determine the properties of reflections.
iv.
Determine:
a) the image of an object,
given the axis of reflection.
b) The axis of reflection,
given the object and its image.
v.
Determine the coordinates of:
a) the image, given the
coordinates of the object
b) the object, given the
coordinates of the image
under a reflection.
vi.
Describe a reflection given the object and
image.
vii. Solve problems involving reflections.
|
31 AUG
HARI KEBANGSAAN
|
|
Minggu 37 & 38
7 -11 September
14- 18 SEPT
|
11.4
Understand and use the
concept of
rotations
|
i.
Identify a rotation.
ii.
Determine the image of an object under a
rotation given the centre, the angle and
direction of rotation.
iii. Determine the properties of rotations.
vi.
Describe a reflection given the object and
image.
iv.
Determine:
a)
image of an object,
given the centre, angle and direction of rotation.
b)
the centre, angle and
direction of rotation, given the object and the image.
v.
Determine the coordinates of:
a)
the image, given the
coordinates of the object
b)
the object, given the
coordinates of the image under rotation.
vi.
Describe a rotation given the object and
image.
vii. solve
problems involving rotations
.
|
16 SEPT
MALAYSIA DAY
Mid
Semester Test
|
|
Week 39
21 – 25 SEPT
|
|
Mid term
Holidays
|
|
|
Minggu 40
28 SEPT – 2 OKT
|
11.5 Understand and use the concept of isometry.
11.6 Understand and use the concept of congruence.
11.7 Understand and use the properties of
quadrilaterals using concept of transformations.
|
i Identify an isometry.
ii.
Determine whether a given
transformation is an isometry.
iii. Construct patterns using isometry.
i.
Identify if two figure are congruent.
ii.
Identify congruency between two figures
as a
property of an isometry.
iii. Solve problems involving congruence.
i.
Determine the properties of quadrilaterals using reflections and
rotations.
|
|
|
Minggu 41
5 – 9 Okt
|
12. SOLID
GEOMETRY II.
12.1 Understand geometric solids properties.
12.2 Understand the concept of nets.
|
i. State the geometric properties of prisms,
pyramids, cylinders, cones and spheres.
i. Draw
nets for prisms, pyramids, cylinders and cones.
ii. State
the types of solids given their nets.
iii. Construct models of solids given their
nets.
|
|
|
Minggu 42
12 - 16 Okt
|
12.3 Understand the concept of surface area.
|
i. State
the surface areas of prisms,
pyramids, cylinders and cones.
cylinders and cones.
iii. Find the surface area of spheres using the
standard formula.
iv. Find
dimensions:
a)
length of sides
b)
height
c)
slant height
d)
radius
e)
diameter
of a solid given its surface area and other
relevant information.
v. Solve problems involving the surface area.
|
14 Okt
Awal Muharram
|
|
Minggu 43
19 – 23
Okt
|
13. STATISTICS.
13.1
Understand the concept of data.
13.2
Understand the concept of frequency.
|
i.
Classify data according to those that can
be
collected by:
a)
counting
b)
measuring.
ii. Collect
and record data systematically.
i.
Determine the frequency of data.
ii.
Determine the data with:
a)
the highest frequency.
b)
the lowest frequency.
c)
frequency of specific
value.
iii.
Organise data by constructing:
a)
tally charts.
b)
frequency tables.
iv. Obtain information from frequency tables.
|
|
|
Minggu 44
26 – 30
Okt
|
13.3
Represent and interpret data in:
i. pictograms
ii. bar charts
iii. line
graphs
to solve
problems.
|
i. Construct pictograms to represent data.
ii. Obtain information from pictograms.
iii. Solve
problems involving pictograms.
vi.
Construct bar charts to represent data.
v. Obtain
information from bar charts.
vi. Solve
problems involving bar charts.
vii. Represent data using line graphs.
viii. Obtain information from line graphs.
ix. solve problems involving
line graphs.
|
|
|
Week 45
2- 6 NOV
|
|
Revision
|
SPM BERMULA
|
|
Week 46
9 – 13 NOV
|
|
2nd
semester examination
|
10 Nov
Hari Deepavali
|
|
Week 47
16 – 20 NOV
|
|
RE-CHECK
EXAM PAPER
|
|
No comments:
Post a Comment