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Published by Tc Masyie, 2021-02-04 19:37:03

DSKP ADD MATHS F5

DSKP KSSM

KSSM ADDITIONAL MATHEMATICS FORM 4

CONTENT STANDARDS LEARNING STANDARDS NOTES
10.1.2 Determine and interpret index numbers.

10.1.3 Solve problems involving index numbers. Suggested Activities:

Contextual learning and future studies may be
involved.

10.2 Composite Index Pupils are able to:

10.2.1 Determine and interpret composite index Notes:
with and without the weightage.
The meaning of weightage needs to be discussed.

Various situations need to be involved.

Weightage can be represented by numbers, ratios,
percentages, reading on bar charts or pie charts
and others.

The formula for composite index,

I i = Index number
Wi = Weightage

87

KSSM ADDITIONAL MATHEMATICS FORM 4

CONTENT STANDARDS LEARNING STANDARDS NOTES

10.2.2 Solve problems involving index numbers Notes:
and composite index. Interpreting the index to identify the trend of a
certain set of data need to be involved.

Data represented in various forms need to be
involved.

Suggested Activities:

Problem-based learning may be carried out.

88

KSSM ADDITIONAL MATHEMATICS FORM 4

PERFORMANCE LEVEL PERFORMANCE STANDARDS
1
2 DESCRIPTOR
3
4 Demonstrate the basic knowledge of index numbers.
5
Demonstrate the understanding of index numbers.
6 Apply the understanding of index numbers to perform simple tasks.
Apply appropriate knowledge and skills of index numbers in the context of simple routine problem solving.

Apply appropriate knowledge and skills of index numbers in the context of complex routine problem
solving.

Apply appropriate knowledge and skills of index numbers in the context of non-routine problem solving in
a creative manner.

89

KSSM ADDITIONAL MATHEMATICS FORM 4

90

Content Standard,
Learning Standard and
Performance Standard

Form 5

91

92

KSSM ADDITIONAL MATHEMATICS FORM 5

LEARNING AREA

GEOMETRY

TOPIC

1.0 CIRCULAR MEASURE

93

KSSM ADDITIONAL MATHEMATICS FORM 5

1.0 CIRCULAR MEASURE

CONTENT STANDARDS LEARNING STANDARDS NOTES

1.1 Radian Pupils are able to: Notes:

1.1.1 Relate angle measurement in radian and degree. Real-life situations need to be involved
throughout this topic.

The definition of one radian needs to be
discussed.

Measurement in radian can be expressed:
(a) in terms of .
(b) without involving .

1.2 Arc Length of a Circle Pupils are able to: Notes:

1.2.1 Determine Derivation of the formula s = r needs to be
(i) arc length,
(ii) radius, and discussed.
(iii) angle subtended at the centre of a circle.

1.2.2 Determine perimeter of segment of a circle. The use of sine rule and cosine rule can be
involved.

1.2.3 Solve problems involving arc length.

94

KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES

1.3 Area of Sector of a Pupils are able to: Notes:
Circle
1.3.1 Determine Derivation of the formula A = r2needs to be
(i) area of sector,
(ii) dius, and discussed.
(iii) angle subtended at the centre of a circle.

1.3.2 Determine the area of segment of a circle. The use of the following formulae can be
1.3.3 Solve problems involving areas of sectors. involved:
(a) Area of triangle = absin c

(b) Area of triangle  ss as bs c

1.4 Application of Circular Pupils are able to:
Measures 1.4.1 Solve problems involving circular measure.

95

KSSM ADDITIONAL MATHEMATICS FORM 5

PERFORMANCE LEVEL PERFORMANCE STANDARDS
1
2 DESCRIPTOR
3 Demonstrate the basic knowledge of circular measure.
4
Demonstrate the understanding of circular measure.
5
Apply the understanding of circular measure to perform simple tasks.
6
Apply appropriate knowledge and skills of circular measure in the context of simple routine problem
solving.

Apply appropriate knowledge and skills of circular measure in the context of complex routine problem
solving.

Apply appropriate knowledge and skills of circular measure in the context of non-routine problem solving
in a creative manner.

96

KSSM ADDITIONAL MATHEMATICS FORM 5

LEARNING AREA

CALCULUS

TOPIC

2.0 DIFFERENTIATION

97

KSSM ADDITIONAL MATHEMATICS FORM 5

2.0 DIFFERENTIATION

CONTENT STANDARDS LEARNING STANDARDS NOTES

2.1 Limit and its Relation Pupils are able to: Notes:
to Differentiation
2.1.1 Investigate and determine the value of limit of a Real-life situations need to be involved throughout
function when its variable approaches zero. this topic.

Graphing calculator or dynamic geometry software
needs to be used throughout this topic.

Exploratory activities using table of values and
graphs when the value of the variable approaches
zero from two opposite directions need to be
involved.

The notation of needs to be introduced.

2.1.2 Determine the first derivative of a function f(x) Exploratory activities to determine the first
by using the first principle. derivative of a function using the idea of limit needs
to be involved.

dy y
When y = f x dx lxim0 x .

The relation between the first derivative and the
gradient of a tangent should be emphasised.

98

KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES

2.2 The First Derivative Pupils are able to:

2.2.1 Derive the formula of first derivative inductively Notes:
for the function y axn , a is a constant and n
is an integer. dy d )
Differentiation notations f x and (

dx dx

where ( ) is a function of x, need to be involved.

2.2.2 Determine the first derivative of an algebraic Further exploration using dynamic geometry

function. software to compare the graphs of f(x) and f’(x)

(gradient function graph) can be carried out.

2.2.3 Determine the first derivative of composite Chain rule needs to be involved.
function.
The use of the idea of limit to prove the chain rule
can be discussed.

2.2.4 Determine the first derivative of a function The use of the idea of limit to prove product rule
involving product and quotient of algebraic and quotient rule can be discussed.
expressions.

2.3 The Second Derivative Pupils are able to: Notes :

2.3.1 Determine the second derivative of an algebraic d2y d dy  d f (x)
function.  and f (x) 
=

dx2 dx dx  dx

need to be emphasised.

99

CONTENT STANDARDS LEARNING STANDARDS KSSM ADDITIONAL MATHEMATICS FORM 5

NOTES

2.4 Application of Pupils are able to:
Differentiation
2.4.1 Interpret gradient of tangent to a curve at different
points.

2.4.2 Determine equation of tangent and normal to a
curve at a point.

2.4.3 Solve problems involving tangent and normal.

2.4.4 Determine the turning points and their nature. Notes:
The following matters need to be involved:
(a) Sketching tangent method
(b) Second derivative method
(c) Point of Inflection

2.4.5 Solve problems involving maximum and Suggested activity:

minimum values and interpret the solutions. Graph sketching can be involved.

100

KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES

2.4.6 Interpret and determine rates of change for The use of chain rule needs to be emphasised.
related quantities.

2.4.7 Solve problems involving rates of change for
related quantities and interpret the solutions.

2.4.8 Interpret and determine small changes and
approximations of certain quantities.

2.4.9 Solve problems involving small changes and Problems involved are limited to two variables.
approximations of certain quantities.

101

KSSM ADDITIONAL MATHEMATICS FORM 5

PERFORMANCE LEVEL PERFORMANCE STANDARDS
1
2 DESCRIPTOR
3
4 Demonstrate the basic knowledge of differentiation.
5
Demonstrate the understanding of differentiation.
6 Apply the understanding of differentiation to perform simple tasks.
Apply appropriate knowledge and skills of differentiation in the context of simple routine problem solving.
Apply appropriate knowledge and skills of differentiation in the context of complex routine problem
solving.
Apply appropriate knowledge and skills of differentiation in the context of non-routine problem solving in
a creative manner.

102

KSSM ADDITIONAL MATHEMATICS FORM 5

LEARNING AREA

CALCULUS

TOPIC

3.0 INTEGRATION

103

3.0 INTEGRATION KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES

3.1 Integration as the Pupils are able to: Suggested activities:
Inverse of The use of dynamic software is encouraged
Differentiation 3.1.1 Explain the relation between differentiation throughout this topic.
and integration. Notes:
Real-life situations need to be involved throughout
this topic.
Exploratory activities need to be carried out.

3.2 Indefinite Integral Pupils are able to: Notes:
Limited to
3.2.1 Derive the indefinite integral formula and n 1. , a is a constant, n is an integer
inductively.

The constant, c needs to be emphasised.

3.2.2 Determine indefinite integral for algebraic The following integrations need to be involved:

functions.

(a)

(b)

104

KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES

3.2.3 Determine indefinite integral for functions in Suggested activities:

the form of , where a and b are Substitution method can be involved.

constants, n is an integer and n –1.

3.2.4 Determine the equation of curve from its
gradient function.

3.3 Definite Integral Pupils are able to: Notes:

3.3.1 Determine the value of definite integral for The following characteristics of definite integral

algebraic functions. need to be emphasized:

(a)

(b) ,

.
The use of diagrams needs to be emphasised.
Exploratory activities need to be carried out.

3.3.2 Investigate and explain the relation between When n approaches , x approaches 0,
the limit of the sum of areas of rectangles area under the curve =
and the area under a curve.

=

105

KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES

3.3.3 Determine the area of a region. The meaning of the positive and negative signs for
the value of area needs to be discussed.

Area of region between two curves needs to be
involved.

3.3.4 Investigate and explain the relation between When n approaches , x approaches 0,
the limits of the sum of volumes of cylinders generated volume =
and the generated volume by revolving a
region.

=

When n approaches , approaches 0,

generated volume =

=

3.3.5 Determine the generated volume of a region Generated volume for region between two curves is

revolved at the x-axis or the y-axis. excluded.

3.4 Application of Pupils are able to:
Integration 3.4.1 Solve problems involving integration.

106

KSSM ADDITIONAL MATHEMATICS FORM 5

PERFORMANCE LEVEL PERFORMANCE STANDARDS
1 DESCRIPTOR
2
3 Demonstrate the basic knowledge of integration.
4 Demonstrate the understanding of integration.
5 Apply the understanding of integration to perform simple tasks.
Apply appropriate knowledge and skills of integration in the context of simple routine problem solving.
6 Apply appropriate knowledge and skills of integration in the context of complex routine problem solving.
Apply appropriate knowledge and skills of integration in the context of non-routine problem solving in a
creative manner.

107

KSSM ADDITIONAL MATHEMATICS FORM 5

108

KSSM ADDITIONAL MATHEMATICS FORM 5

LEARNING AREA

STATISTICS

TOPIC

4.0 PERMUTATION AND COMBINATION

109

KSSM ADDITIONAL MATHEMATICS FORM 5

4.0 PERMUTATION AND COMBINATION

CONTENT STANDARDS LEARNING STANDARDS NOTES

4.1 Permutation Pupils are able to: Notes:

4.1.1 Investigate and make generalisation about Real-life situations and tree diagrams need to

multiplication rule. be involved throughout this topic.

The calculator is only used after the students
understand the concept.

Multiplicaton rule:
If a certain event can occur in m ways and
another event can occur in n ways, then both
events can occur in m × n ways.

4.1.2 Determine the number of permutations for The notation n! needs to be involved.
(i) n different objects
(ii) n different objects taken r at a time. Formula nPr = needs to be emphasised.
(iii) n objects involving identical objects.

4.1.3 Solve problems involving permutations with Cases involving identical objects or
certain conditions. arrangement of objects in a circle limited to one
condition.

110

KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES

4.2 Combination Pupils are able to: Notes:

4.2.1 Compare and contrast permutation and The relation between combination and
combination. permutation, nC  n Pr needs to be
r r!
discussed.

4.2.2 Determine the number of combinations of r
objects chosen from n different objects at a time.

4.2.3 Solve problems involving combinations with
certain conditions.

111

KSSM ADDITIONAL MATHEMATICS FORM 5

PERFORMANCE LEVEL PERFORMANCE STANDARDS
1
2 DESCRIPTOR
3
4 Demonstrate the basic knowledge of permutation and combination.

5 Demonstrate the understanding of permutation and combination.

6 Apply the understanding of permutation and combination to perform simple tasks.

Apply appropriate knowledge and skills of permutation and combination in the context of simple routine
problem solving.

Apply appropriate knowledge and skills of permutation and combination in the context of complex routine
problem solving.

Apply appropriate knowledge and skills of permutation and combination in the context of non-routine
problem solving in a creative manner.

112

KSSM ADDITIONAL MATHEMATICS FORM 5

LEARNING AREA

STATISTICS

TOPIC

5.0 PROBABILITY DISTRIBUTION

113

KSSM ADDITIONAL MATHEMATICS FORM 5

5.0 PROBABILITY DISTRIBUTION

CONTENT STANDARDS LEARNING STANDARDS NOTES

5.1 Random Variable Pupils are able to: Notes:
5.1.1 Describe the meaning of random variable.
Real-life situations need to be involved throughout
this topic.

5.1.2 Compare and contrast discrete random Set builder notations for discrete random variable and
variable and continuous random variable. continuous random variable need to be involved.

Example of representation for discrete random
variable:

X = {x: x = 0, 1, 2, 3}

Example of representation for continuous random
variable:

X = {x: x is the height of pupils in cm, a1 < x < a2}

Tree diagram and probability formula need to be used
to introduce the concept of probability distribution for
discrete random variable.

Suggested activities:
Simple experiments can be involved such as tossing
coins or dice to explain the concept of probability
distribution for discrete random variable.

114

KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES

5.1.3 Describe the meaning of probability Probability Distribution is a table or a graph that
distribution for discrete random variables. displays the possible values of a random variable,
along with respective probabilities.

5.1.4 Construct table and draw graph of
probability distribution for discrete random
variable.

5.2 Binomial Distribution Pupils are able to: Notes:
5.2.1 Describe the meaning of binomial
The characteristics of Bernoulli trials need to be
distribution. discussed.

5.2.2 Determine the probability of an event for The relation between Bernoulli trials and Binomial
binomial distribution. distribution need to be emphasised.

5.2.3 Interpret information, construct table and Tree diagram needs to be used to study the values of
draw graph of binomial distribution. probability for the binomial distribution.

Formula PX r nC pr qnr need not be derived.
r
n

P(X ) 1.

i1

115

KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES

5.2.4 Determine and describe the value of mean, Mean as an expected average value when an event
variance and standard deviation for a happens repeatedly needs to be emphasised.
binomial distribution.
Interpretation of solutions needs to be involved.
5.2.5 Solve problems involving binomial
distributions.

5.3 Normal Distribution 5.3.1 Investigate and describe the properties of Notes:
normal distribution graph.
Sketches of graphs and the importance of the normal
distribution graph features need to be emphasised.

The properties of random variation and the Law of
Large Numbers need to be discussed.

5.3.2 Describe the meaning of standard normal The importance of converting normal distribution to
distribution. standard normal distribution needs to be emphasised.

The relation between normal distribution graph and
standard normal distribution graph need to be
discussed.

5.3.3 Determine and interprete standard
score, Z.

116

KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES

5.3.4 Determine the probability of an event for The use of the Standard Normal Distribution Table
normal distribution. needs to be emphasised.

The use of calculator, mobile application or website
can be involved.
Skilsl to determine the standard score, Z when given
the probability value needs to be involved.

5.3.5 Solve problems involving normal
distributions.

117

KSSM ADDITIONAL MATHEMATICS FORM 5

PERFORMANCE LEVEL PERFORMANCE STANDARDS
1
2 DESCRIPTOR
3
4 Demonstrate the basic knowledge of random variables.

5 Demonstrate the understanding of probability distribution.

6 Apply the understanding of probability distribution to perform simple tasks.

Apply appropriate knowledge and skills of probability distribution in the context of simple routine problem-
solving.

Apply appropriate knowledge and skills of probability distribution in the context of complex routine
problem-solving.

Apply appropriate knowledge and skills of probability distribution in the context of non-routine problem-
solving in a creative manner.

118

KSSM ADDITIONAL MATHEMATICS FORM 5

LEARNING AREA

TRIGONOMETRY

TOPIC

6.0 TRIGONOMETRIC FUNCTIONS

119

KSSM ADDITIONAL MATHEMATICS FORM 5

6.0 TRIGONOMETRIC FUNCTIONS

CONTENT STANDARDS LEARNING STANDARDS NOTES

6.1 Positive Angles and Pupils are able to: Notes:
Negative Angles
6.1.1 Represent positive angles and negative angles Angle in degrees and radians greater than
in a Cartesian Plane. 360or 2radian need to be involved
throughout this topic.
6.2 Trigonometric Ratios of 6.2.1 Relate secant, cosecant and cotangent with
any Angle sine, cosine and tangent of any angle in a The following needs to be emphasised:
Cartesian plane.
(a) the position of angles in quadrants.

(b) the relation between units in degrees and
radians in terms of .

Suggested activities:
Dynamic software can be used to explore
positive angles and negative angles.

Suggested activities:
Exploratory activities involving the following
complementary angles need to be carried out:
(a) sin θ = cos (90°− θ)
(b) cos θ = sin (90° − θ)
(c) tan θ = cot (90° − θ)
(d) cosec θ = sec (90°− θ)
(e) sec θ = cosec (90°− θ)
(f) cot θ = tan (90° − θ)

120

KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES

6.2.2 Determine the values of trigonometric ratios for Notes:
any angle.
The use of triangles to determine trigonometric
ratios for special angles 30°, 45° dan 60° need
to be emphasised.

6.3 Graphs of Sine, Cosine Pupils are able to: Notes:
and Tangent Functions 6.3.1 Draw and sketch graphs of trigonometric The effect of the changes in constants a, b and
c for graphs of trigonometric functions need to
functions: be discussed.
(i) y = a sin bx + c
(ii) y = a cos bx + c The absolute value of trigonometric functions
(iii) y = a tan bx + c needs to be involved.
where a, b and c are constants and b > 0.
Suggested activities:
6.3.2 Solve trigonometric equations using graphical Dynamic software can be used to explore
method. graphs of trigonometric functions.

Trigonometric equations for y that are not
constants need to be involved.

Sketches of graphs to determine the number of
solutions need to be involved.

121

KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES
Notes:
6.4 Basic Identities Pupils are able to: Exploratory activities involving basic identities
6.4.1 Derive basic identities: using right-angled triangle or unit circle need to
be carried out:
(i)
(ii) Suggested activities:
(iii) Calculator can be used to verify addition
formulae.
6.4.2 Prove trigonometric identities using basic
identities.

6.5 Addition Formulae and Pupils are able to:
Double Angle Formulae
6.5.1 Prove trigonometric identities using addition
formulae for sin (A ± B), cos (A ± B) and
tan (A ± B).

6.5.2 Derive double angle formulae for sin 2A, cos 2A Notes:

and tan 2A. Half-angle formulae need to be discussed.

6.5.3 Prove trigonometric identities using double-
angle formulae.

6.6 Application of 6.6.1 Solve trigonometric equations.

Trigonometric Functions

6.6.2 Solve problems involving trigonometric
functions.

122

KSSM ADDITIONAL MATHEMATICS FORM 5

PERFORMANCE LEVEL PERFORMANCE STANDARDS
1
2 DESCRIPTOR
3
4 Demonstrate the basic knowledge of trigonometric functions.

5 Demonstrate the understanding of trigonometric functions.

6 Apply the understanding of trigonometric functions to perform simple tasks.

Apply appropriate knowledge and skills of trigonometric functions in the context of simple routine
problem solving.

Apply appropriate knowledge and skills of trigonometric functions in the context of complex routine
problem solving.

Apply appropriate knowledge and skills of trigonometric functions in the context of non-routine problem
solving in a creative manner.

123

KSSM ADDITIONAL MATHEMATICS FORM 5

124

KSSM ADDITIONAL MATHEMATICS FORM 5

ELECTIVE PACKAGE

APPLICATION OF SOCIAL SCIENCE

TOPIC

7.0 LINEAR PROGRAMMING

125

7.0 LINEAR PROGRAMMING KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES
Notes:
7.1 Linear Programming Pupils are able to: Real-life situations need to be involved
Model throughout this topic.
7.1.1 Form a mathematical model for a situation Exploratory activities involving optimization
based on the constraints given and hence need to be carried out.
represent the model graphically.

7.2 Application of Linear Pupils are able to: Notes:
Programming
7.2.1 Solve problems involving linear programming The terms constraints, scattered region,
graphically. objective function and optimum value need to be
involved.

126

KSSM ADDITIONAL MATHEMATICS FORM 5

PERFORMANCE LEVEL PERFORMANCE STANDARDS
1
2 DESCRIPTOR
3
4 Demonstrate the basic knowledge of linear programming model.

5 Demonstrate the understanding of linear programming model.

6 Apply the understanding of linear programming model to perform simple tasks.

Apply appropriate knowledge and skills of linear programming in the context of simple routine problem
solving.

Apply appropriate knowledge and skills of linear programming in the context of complex routine problem
solving.

Apply appropriate knowledge and skills of linear programming in the context of non-routine problem
solving in a creative manner.

127

KSSM ADDITIONAL MATHEMATICS FORM 5

128

KSSM ADDITIONAL MATHEMATICS FORM 5

ELECTIVE PACKAGE

APPLICATION OF SCIENCE AND TECHNOLOGY

TOPIC

8.0 KINEMATICS OF LINEAR MOTION

129

KSSM ADDITIONAL MATHEMATICS FORM 5

8.0 KINEMATICS OF LINEAR MOTION

CONTENT STANDARDS LEARNING STANDARDS NOTES

8.1 Displacement, Velocity Pupils are able to: Notes:
and Acceleration as a
Function of Time 8.1.1 Describe and determine Number lines and sketches of graphs need to be
instantaneous displacement, involved throughout this topic.
instantaneous velocity, instantaneous The following need to be emphasised:
acceleration of a particle.
(i) Representations of s = displacement, v = velocity,
a = acceleration and t = time

(ii) The relation between displacement, velocity and
acceleration.

(iii) Scalar quantity and vector quantity.

(iv) The difference between
 distance and displacement
 speed and velocity

The meaning of

 positive, negative and zero displacement,

 positive, negative and zero velocity,

 positive, negative and zero acceleration,
need to be discussed.

Simulation needs to be used to differentiate between
positive displacement and negative displacement.

130

KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES

8.1.2 Determine the total distance travelled The displacement function is limited to linear and
by a particle in a given period of time. quadratic.

8.2 Differentiation in Pupils are able to: Notes:
Kinematics of Linear The following relations need to be emphasised:
Motion 8.2.1 Relate between displacement
function, velocity function and
acceleration function. ds dv d 2s

v= a= =

dt dt dt2

s = f(t) v = g(t) a = h(t)

s = v dt v = a dt

Interpretations of graphs need to be involved.

8.2.2 Determine and interpret Maximum displacement, initial velocity and constant
instantaneous velocities of a particle velocity need to be emphasised.
from displacement function.

8.2.3 Determine and interpret Maximum velocity, minimum velocity and constant
instantaneous acceleration of a acceleration need to be emphasized.
particle from velocity function and
displacement function.

131

KSSM ADDITIONAL MATHEMATICS FORM 5

CONTENT STANDARDS LEARNING STANDARDS NOTES

8.3 Integration in Kinematics Pupils are able to:
of Linear Motion
8.3.1 Determine and interpret
instantaneous velocity of a particle
from accelaration function.

8.3.2 Determine and interpret Notes:
instantaneous displacement of a Total distance needs to be involved.
particle from velocity function and
accelaration function.

8.4 Applications of Pupils are able to:
Kinematics of Linear
Motion 8.4.1 Solve problems of kinematics of linear
motion involving differentiation and
integration.

132

KSSM ADDITIONAL MATHEMATICS FORM 5

PERFORMANCE LEVEL PERFORMANCE STANDARDS
1
2 DESCRIPTOR
3
4 Demonstrate the basic knowledge of displacement, velocity and acceleration.

5 Demonstrate the understanding of displacement, velocity and acceleration.

6 Apply the understanding of displacement, velocity and acceleration to perform simple tasks.

Apply appropriate knowledge and skills of kinematics of linear motion in the context of simple routine
problem solving.

Apply appropriate knowledge and skills of kinematics of linear motion in the context of complex routine
problem solving.

Apply appropriate knowledge and skills of kinematics of linear motion in the context of non-routine
problem solving in a creative manner.

133

134

1. Dr. Rusilawati binti Othman PANEL OF WRITERS
2. Rosita binti Mat Zain
3. Noraida binti Md. Idrus Curriculum Development Division
4. Susilawati binti Ehsan Curriculum Development Division
5. Wong Sui Yong Curriculum Development Division
6. Alyenda binti Ab. Aziz Curriculum Development Division
7. Noor Azura binti Ibrahim Curriculum Development Division
8. Prof. Dr. Zanariah binti Abdul Majid Curriculum Development Division
9. Dr. Annie a/p Gorgey Text Book Division
10. Gan Teck Hock Universiti Putra Malaysia, Selangor
11. Asjurinah binti Ayob Universiti Pendidikan Sultan Idris, Perak
12. Azizah binti Kamar IPGK Kota Bharu, Kelantan
13. Bibi Kismete Kabul Khan SMK Raja Muda Musa, Selangor
14. Oziah binti Othman SBPI Sabak Bernam, Selangor
15. Rohani binti Md Nor SMK Jelapang Jaya, Perak
SMK Puchong Permai, Selangor
Sekolah Sultan Alam Shah, Putrajaya

135

CONTRIBUTORS

1. Ahmad Afif bin Mohd Nawawi Matriculation Division
2. Norlisa binti Mohamed @ Mohamed Noor Malaysian Examinations Council
3. Prof. Madya Dr. Muhamad Safiih bin Lola Universiti Malaysia Terengganu, Terengganu
4. Prof. Madya Dr. Zailan bin Siri Universiti Malaya, Kuala Lumpur
5. Dr. Dalia binti Aralas Universiti Putra Malaysia, Selangor
6. Dr. Suzieleez Syrene binti Abdul Rahim Universiti Malaya, Kuala Lumpur
7. Dr. Lam Kah Kei IPGK Tengku Ampuan Afzan, Pahang
8. Dr. Najihah binti Mustaffa SM Sains Tapah, Perak
9. Asman bin Ali SMK Kuala Perlis, Perlis
10. Intan Ros Elyza binti Zainol Abidin SM Sains Hulu Selangor, Selangor
11. Masnaini binti Mahmad SMK Bandar Tun Hussein Onn 2, Selangor
12. Nor Haniza binti Abdul Hamid SMK St. John, Kuala Lumpur
13. Nur Aziah binti Nasir SMK Jalan Empat, Selangor
14. Nurbaiti binti Ahmad Zaki SMK Sierramas, Selangor
15. Sabariah binti Samad SM Sains Rembau, Negeri Sembilan
16. Sh. Maisarah binti Syed Mahamud SMK Seberang Jaya, Pulau Pinang
17. Siti Alifah binti Syed Jalal SMK Katholik (M), Selangor

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