form 5 a
TRANSCRIPT
MATHEMATICS
FORM 5
YEARLY SCHEME OF WORK
YEAR 2014
PN. ONG AI SUAN
2
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
JANUARY
1
2-3
Topic 1
Number bases
1.1
Understand and use the concept of
number in base two, eight and five
Students will be able to
1.1
state zero, one, two, three,…, as a number in base:
(a) two, (b) eight, (c) five.
1.1.2
state the value of a digit of a number in base:
(a) two, (b) eight, (c) five.
1.1.3
write a number in base: (a) two, (b) eight, (c) five
in expanded notation.
i-THINK
2
6-10
Students will be able to
1.1.4
convert a number in base: (a) two, (b) eight, (c) five
to a number in base ten and vice versa.
1.1.5
convert a number in a certain base to a number in another
base.
1.1.6
perform computations involving:
(a) addition,
(b) subtraction of two numbers in base two.
VLG Frog
i-THINK
3
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
JANUARY
3
13-17
Topic 2
Graph of functions II
2.1
Understand and use the concept of
graph of functions
Students will be able to
2.1.1
draw the graph of a:
(a) linear function: y = ax + b, where a and b are
constants,
(b) quadratic function: y = ax 2 + bx + c, where a, b
and c are constants , a ≠ 0,
(c) cubic function: y = ax 3+ bx 2 + cx + d, where a,
b, c and d are constants, a ≠ 0 ,
(d) reciprocal function: y =
x
a, where a is a constant,
a ≠ 0 .
2.1.2
find from a graph:
(a) the value of y, given a value of x,
(b) the value(s) of x, given a value of y.
2.1.3
identify:
(a) the shape of graph given a type of function,
(b) the type of function given a graph,
(c) the graph given a function and vice versa.
2.1.4
sketch the graph of a given linear, quadratic, cubic or
reciprocal function.
Thaipusam day
17 Januari (Friday)
i-THINK
4
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
JANUARY
4
20-24
2.2 Understand and use the concept of
the solution of an equation by graphical method
2.3 Understand and use the concept of the region representing inequalities in two variables
Students will be able to 2.2.1 find the point(s) of intersection of two graphs.
2.2.2 obtain the solution of an equation by finding the point(s) of
intersection of two graphs. 2.2.3
solve problems involving solution of an equation by graphical method.
Students will be able to
2.3.1
determine whether a given point satisfies:
y = ax + b or y > ax + b or y < ax + b.
2.3.2
determine the position of a given point relative to the
graph y = ax + b.
2.3.3
identify the region satisfying y > ax + b or y < ax + b.
2.3.4
shade the regions representing the inequalities:
(a) y > ax + b or y < ax + b,
(b) y ≥ ax + b or y ≤ ax + b.
2.3.5
determine the region which satisfies two or more
simultaneous linear inequalities
VLG Frog
i-THINK
5
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
JANUARY
5
27-30
Topic 3
Transformation III
3.1
Understand and use the concept of
combination of two transformations
Students will be able to
3.1.1
determine the image of an object under combination of
two isometric transformations.
3.1.2
determine the image of an object under combination of:
(a) two enlargements,
(b) an enlargement and an isometric transformation.
Chinese New Year
31 Januari (Friday)
2 Februari (Saturday)
i-THINK
FEBRUARY
6
3-7
Students will be able to
3.1.3
draw the image of an object under combination of two
transformations.
3.1.4
state the coordinates of the image of a point under
combined transformation.
3.1.5
determine whether combined transformation AB is
equivalent to combined transformation BA.
3.1.6
specify two successive transformations in a combined
transformation given the object and the image.
3.1.7
specify a transformation which is equivalent to the
combination of two isometric transformations.
VLG Frog
i-THINK
6
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
FEBRUARY
6
3-7
3.1
Understand and use the concept of
combination of two transformations
3.1.8
solve problems involving transformation.
7
10-14
Topic 4
Matrices
4.1 Understand and use the concept of
matrix
4.2 Understand and use the concept of
equal matrices.
4.3
Perform addition and subtraction on
matrices.
Students will be able to
4.1.1
form a matrix from given information.
4.1.2
determine:
(a) the number of rows,
(b) the number of columns,
(c) the order of a matrix.
4.1.3
identify a specific element in a matrix.
Students will be able to
4.2.1
determine whether two matrices are equal
4.2.2
solve problems involving equal matrices.
Students will be able to
4.3.1
determine whether addition or subtraction can be
performed on two given matrices.
Cross Country
15 February (Saturday)
i-THINK
7
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
FEBRUARY
7
10-14
4.3
Perform addition and subtraction on
matrices.
4.4 Perform multiplication of a matrix by a number.
Students will be able to
4.3.1
determine whether addition or subtraction can be
performed on two given matrices.
4.3.2
find the sum or the difference of two matrices.
4.3.3
perform addition and subtraction on a few matrices.
4.3.4
solve matrix equations involving addition and subtraction.
Students will be able to
4.4.1
multiply a matrix by a number.
4.4.2
express a given matrix as multiplication of a matrix by a
number.
4.4.3
perform calculation on matrices involving addition,
subtraction and scalar multiplication.
4.4.4
solve matrix equations involving addition, subtraction and
scalar multiplication.
8
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
FEBRUARY
7
10-14
4.5 Perform multiplication of two
Students will be able to
4.5.1 determine whether two matrices can be multiplied and state
the order of the product when the two matrices can be multiplied.
4.5.2 find the product of two matrices.
4.5.3
solve matrix equations involving multiplication of two
matrices.
Cross country
15 February (Saturday)
8
17-21
4.6
Understand and use the concept of
identity matrix.
4.7
Understand and use the concept of
inverse matrix
Students will be able to
4.6.1
determine whether a given matrix is an identity matrix by
multiplying it to another matrix.
4.6.2
write identity matrix of any order.
4.6.3
perform calculation involving identity matrices.
Students will be able to
4.7.1
determine whether a 2 × 2 matrix is the inverse matrix of
another 2 × 2 matrix.
4.7.2
find the inverse matrix of a 2 × 2 matrix by using:
(a) method of solving simultaneous linear equations,
(b) formula.
VLG Frog
i-THINK
9
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
FEBRUARY
9
24-28
4.8 Solve simultaneous linear equations
by using matrices.
Students will be able to
4.8.1
write down simultaneous linear equations in matrix form.
4.8.2
find the matrix
q
p in
k
h
q
p
dc
ba by using
inverse matrix.
4.8.3
solve simultaneous linear equations by using the matrix
method.
4.8.4
solve problems involving matrices.
i-THINK
MARCH
10
3-7
Topic 10
Plans and elevations
10.1
Understand and use the concept of
orthogonal projection.
Students will be able to:
10.1.1
identify orthogonal projection.
10.1.2
draw orthogonal projection, given an object and a plane.
10.1.3
determine the difference between an object and its
orthogonal projection with respect to edges and angles.
VLG Frog
i-THINK
10
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
MARCH
10
3-7
10.2
Understand and use the concept of
plan and elevation.
Students will be able to
10.2.1
draw the plan of a solid object.
10.2.2
draw:
(a) the front elevation,
(b) side elevation, of a solid object
11
10-14
10.2.3
draw:
(a) the plan,
(b) the front elevation,
(c) side elevation, of a solid object.
10.2.4
solve problems involving plan and elevation.
i-THINK
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
MARCH
12
17-21
CURRICULUM ASSESMENT 1
VLG Frog
MID-SEMESTER I HOLIDAYS [22 MAR – 30 MAR]
11
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
MARCH
APRIL
13
31/3-4/4
Topic 5
Variations
5.1
Understand and use the concept of direct variation.
Students will be able to
5.1.1
state the changes in a quantity with respect to changes in
another quantity, in everyday life situations involving
direction variation.
5.1.2
determine from given information whether a quantity
varies directly as another quantity.
5.1.3
express a direct variation in the form of equation
involving two variables.
5.1.4
find the value of a variable in a direct variation when
sufficient information is given.
5.1.5
solve problems involving direct variation for the
following cases:
2
1
32 ,,, xyxyxyxy
i-THINK
12
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
APRIL
14
7-11
5.2
Understand and use the concept of
inverse variation.
5.3
Understand and use the concept of
joint variation.
Students will be able to
5.2.1
state the changes in a quantity with respect to changes in
another quantity, in everyday life situations involving
inverse variation.
5.2.2
determine from given information whether a quantity
varies inversely as another quantity.
5.2.3
express an inverse variation in the form of equation
involving two variables.
5.2.4
find the value of a variable in an inverse variation when
sufficient information is given.
5.2.5
solve problems involving inverse variation for the
following cases:
2
132
1;
1;
1;
1
x
yx
yx
yx
y
Students will be able to
5.3.1
represent a joint variation by using the symbol ∝ for the
following cases:
(a) two direct variations,
(b) two inverse variations,
(c) a direct variation and an inverse variation.
VLG Frog
i-THINK
13
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
APRIL
14
7-11
5.2
Understand and use the concept of
inverse variation.
5.3.2
express a joint variation in the form of equation.
5.3.3
find the value of a variable in a joint variation when
sufficient information is given.
5.4.4
solve problems involving joint variation.
15
14-18
Topic 6
Gradient and area under a graph
6.1
Understand and use the concept of
quantity represented by the gradient
of a graph
Students will be able to
6.1.1
state the quantity represented by the gradient of a graph.
6.1.2
draw the distance-time graph, given:
(a) a table of distance-time values,
(b) a relationship between distance and time.
6.1.3
find and interpret the gradient of a distance-time graph.
6.1.4
find the speed for a period of time from a distance-time
graph.
6.1.5
draw a graph to show the relationship between two
variables representing certain measurements and state the
meaning of its gradient.
i-THINK
14
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
APRIL
APRIL
MAY
16
21-25
6.2
Understand the concept of quantity
represented by the area under a
graph
Students will be able to
6.2.1
find the area under a graph.
6.2.2
determine the distance by finding the area under the
following types of speed-time graphs:
(a) v = k (uniform speed),
(b) v = kt,
(c) v = kt + h,
(d) a combination of the above.
6.2.3
solve problems involving gradient and area under a graph.
VLG Frog
i-THINK
17
28/4-2/5
Topic 7
Probability II
7.1
Understand and use the concept of
probability of an event.
Students will be able to
7.1.1
determine the sample space of an experiment with equally
likely outcomes.
7.1.2
determine the probability of an event with equiprobable
sample space.
7.1.3
solve problems involving probability of an event.
Labour day
1 May (Thursday)
i-THINK
15
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
APRIL
MAY
MAY
17
28/4-2/5
7.2
Understand and use the
concept of probability of
the complement of an
event.
Students will be able to
7.2.1
state the complement of an event in:
(a) words,
(b) set notation.
7.2.1
find the probability of the complement of an event.
18
5-9
7.3
Understand and use the concept of
probability of combined event.
Students will be able to
7.3.1
List the outcomes for events:
(a) A or B as elements of the set A ∪ B,
(b) A and B as elements of the set A ∩ B.
7.3.2
Find the probability by listing the outcomes of the
combined event:
(a) A or B,
(b) A and B.
7.3.3
Solve problems involving probability of combined event.
VLG Frog
i-THINK
16
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
MAY
19
12-16
Topic 8
Bearing
8.1
Understand and use the concept of
bearing.
Students will be able to
8.1.1
draw and label the eight main compass directions:
(a) north, south, east, west,
(b) north-east, north-west, south-east, south west.
8.1.2
state the compass angle of any compass direction.
8.1.3
draw a diagram which shows the direction of B relative to
A given the bearing of B from A.
8.1.4
state the bearing of point A from point B based on given
information.
8.1.5
solve problems involving bearing.
Wesak day
13 May (Tuesday)
Teacher’s day
16 May (Friday)
i-THINK
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
MAY
MAY
JUNE
20
19-23
MID-YEAR EXAMINATION
VLG Frog
20
26-27
MID-YEAR EXAMINATION
MID-YEAR HOLIDAYS [ 28 MAY – 15 JUNE]
Birthday of His Majesty
of the King
7 June (Saturday)
17
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
JUNE
21
16-20
Topic 9
Earth as a sphere
9.1
Understand and use the concept of
longitude.
9.2 Understand and use the concept of latitude
Students will be able to
9.1.1
sketch a great circle through the North and South Poles.
9.1.2
state the longitude of a given point.
9.1.3
sketch and label a meridian with the longitude given.
9.1.4
find the difference between two longitudes.
Students will be able to
9.2.1
sketch a circle parallel to the equator.
9.2.2
state the latitude of a given point.
9.2.3
sketch and label a parallel of latitude.
9.2.4
find the difference between two latitudes.
Sports Tournament
22 June (Sunday)
VLG Frog
i-THINK
18
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
JUNE
21
16-20
9.3
Understand the concept of location
of a place
Students will be able to
9.3.1
state the latitude and longitude of a given place.
9.3.2
mark the location of a place.
9.3.3
sketch and label the latitude and longitude of a given
place.
22
23-27
9.4
Understand and use the concept of
distance on the surface of the earth
to solve problems
Students will be able to
9.4.1
find the length of an arc of a great circle in nautical mile,
given the subtended angle at the centre of the earth and
vice versa.
9.4.2
find the distance between two points measured along a
meridian, given the latitudes of both points.
9.4.3
find the latitude of a point given the latitude of another
point and the distance between the two points along the
same meridian.
9.4.4
find the distance between two points measured along the
equator, given the longitudes of both points.
i-THINK
19
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
JUNE
JUNE
JULY
22
23-27
9.4
Understand and use the concept of
distance on the surface of the earth
to solve problems
9.4.4
find the distance between two points measured along the
equator, given the longitudes of both points.
9.4.5
find the longitude of a point given the longitude of
another point and the distance between the two points
along the equator.
9.4.6
state the relation between the radius of the earth and the
radius of a parallel of latitude
i-THINK
23
30/6-4/7
9.4.7
state the relation between the length of an arc on the
equator between two meridians and the length of the
corresponding arc on a parallel of latitude.
9.4.8
find the distance between two points measured along a
parallel of latitude.
9.4.9
find the longitude of a point given the longitude of
another point and the distance between the two points
along a parallel of latitude.
VLG Frog
i-THINK
20
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
JUNE
JULY
23
30/6-4/7
9.4
Understand and use the concept of
distance on the surface of the earth
to solve problems
9.4.10
find the shortest distance between two points on the
surface of the earth.
9.4.11
solve problems involving:
(a) distance between two points,
(b) traveling on the surface of the earth.
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
JULY
24
7-11
REVISION
Topic 1 : Number bases
Topic 2: Graph of functions II
25
14-18
REVISION
Topic 4 : Matrices
Topic 9 : earth as a sphere
Nuzul Al-Quran
15 July (Tuesday)
VLG Frog
26
21-25
PAST YEAR QUESTIONS
JULY
AUGUST
27
28/7-1/8
PAST YEAR QUESTIONS
Aidil Fitri
28 July – 29 July
(Monday & Tuesday)
VLG Frog
21
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
AUGUST
SEPTEMBER
28
4-8
PAST YEAR QUESTIONS
29
11-15
PAST YEAR QUESTIONS
VLG Frog
30
25-29
PAST YEAR QUESTIONS
National day
31 August (Sunday)
31
1-5
PAST YEAR QUESTIONS
VLG Frog
32
8-12
PAST YEAR QUESTIONS
33
15-19
PAST YEAR QUESTIONS
Malaysia day
16 September (Tuesday)
VLG Frog
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
SEPTEMBER
MID-SEMESTER II HOLIDAYS [13 SEPTEMBER – 21 SEPTEMBER]
22
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
SEPTEMBER
SEPTEMBER
OCTOBER
OCTOBER
NOVEMBER
34
22-26
SPM TRIAL EXAMINATION
35
29/9-3/10
SPM TRIAL EXAMINATION
VLG Frog
36
6-10
SPM TRIAL EXAMINATION
DISCUSSION OF TRIAL EXAMINATIONS QUESTIONS
Aidil Adha
5 October (Sunday)
37
13-17
PAST YEAR QUESTIONS
VLG Frog
38
20-24
QUESTIONS FROM OTHER STATES
39
27-31
QUESTIONS FROM OTHER STATES
VLG Frog
40
3-7
QUESTIONS FROM OTHER STATES
41
10-14
QUESTIONS FROM OTHER STATES
VLG Frog
42
17-21
QUESTIONS FROM OTHER STATES
MONTH WEEK DATE TOPICS LEARNING OUTCOMES REMARKS
YEAR END SCHOOL HOLIDAYS
22 NOVEMBER 2014 – 3 JANUARY 2015
Christmas day
12 December (Thursday)
23