Form 5 a

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


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


JANUARY

3

13-17

Topic 2

Graph of functions II

2.1


graph of functions


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


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.


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


JANUARY

5

27-30

Topic 3

Transformation III

3.1


combination of two transformations


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


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


FEBRUARY

6

3-7

3.1


combination of two transformations

3.1.8

solve problems involving transformation.

7

10-14

Topic 4

Matrices


matrix


equal matrices.

4.3

Perform addition and subtraction on

matrices.


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.


4.2.1

determine whether two matrices are equal

4.2.2

solve problems involving equal matrices.


4.3.1

determine whether addition or subtraction can be

performed on two given matrices.

Cross Country

15 February (Saturday)

i-THINK

7


FEBRUARY

7

10-14

4.3

Perform addition and subtraction on

matrices.

4.4 Perform multiplication of a matrix by a number.


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.


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


FEBRUARY

7

10-14

4.5 Perform multiplication of two


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


identity matrix.

4.7


inverse matrix


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.


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


FEBRUARY

9

24-28

4.8 Solve simultaneous linear equations

by using matrices.


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


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


MARCH

10

3-7

10.2


plan and elevation.


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


MARCH

12

17-21

CURRICULUM ASSESMENT 1

VLG Frog

MID-SEMESTER I HOLIDAYS [22 MAR – 30 MAR]

11


MARCH

APRIL

13

31/3-4/4

Topic 5

Variations

5.1

Understand and use the concept of direct variation.


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


APRIL

14

7-11

5.2


inverse variation.

5.3


joint variation.


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


5.2.5

solve problems involving inverse variation for the

following cases:

2

132

1;

1;

1;

1

x

yx

yx

yx

y


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


APRIL

14

7-11

5.2


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


5.4.4

solve problems involving joint variation.

15

14-18

Topic 6

Gradient and area under a graph

6.1


quantity represented by the gradient

of a graph


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


APRIL

APRIL

MAY

16

21-25

6.2

Understand the concept of quantity

represented by the area under a

graph


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


probability of an event.


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


APRIL

MAY

MAY

17

28/4-2/5

7.2

Understand and use the

concept of probability of

the complement of an

event.


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


probability of combined event.


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


MAY

19

12-16

Topic 8

Bearing

8.1


bearing.


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


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


JUNE

21

16-20

Topic 9

Earth as a sphere

9.1


longitude.

9.2 Understand and use the concept of latitude


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.


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


JUNE

21

16-20

9.3

Understand the concept of location

of a place


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


distance on the surface of the earth

to solve problems


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


JUNE

JUNE

JULY

22

23-27

9.4



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


JUNE

JULY

23

30/6-4/7

9.4



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.


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


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


SEPTEMBER

MID-SEMESTER II HOLIDAYS [13 SEPTEMBER – 21 SEPTEMBER]

22


SEPTEMBER

SEPTEMBER

OCTOBER

OCTOBER

NOVEMBER

34

22-26

SPM TRIAL EXAMINATION

35

29/9-3/10


VLG Frog

36

6-10


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


VLG Frog

40

3-7


41

10-14


VLG Frog

42

17-21



YEAR END SCHOOL HOLIDAYS

22 NOVEMBER 2014 – 3 JANUARY 2015

Christmas day

12 December (Thursday)

Form 5 a

Technology

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