DSKP Additional Mathematics KSSM (F4 F5)

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 CompositeIndex
Pupils are able to:
10.2.1 Determine and interpret composite index with and without the weightage.
Notes:
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,
Ii = Index number Wi = Weightage
87


KSSM ADDITIONAL MATHEMATICS FORM 4
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
10.2.2 Solve problems involving index numbers and composite index.
Notes:
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


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


1.0 CIRCULAR MEASURE
KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
1.1 Radian
Pupils are able to:
1.1.1 Relate angle measurement in radian and degree.
Notes:
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:
Derivation of the formula s = r needs to be discussed.
The use of sine rule and cosine rule can be involved.
1.2.1
1.2.2 1.2.3
Determine
(i) arc length,
(ii) radius, and
(iii) angle subtended at the centre of a circle.
Determine perimeter of segment of a circle. Solve problems involving arc length.
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KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
1.3 Area of Sector of a Circle
Pupils are able to:
1.3.1 Determine
(i) area of sector,
(ii) radius, and
(iii) angle subtended at the centre of a circle.
1.3.2 Determine the area of segment of a circle.
1.3.3 Solve problems involving areas of sectors.
Notes:
Derivation of the formula A = r2 needs to be discussed.
The use of the following formulae can be involved:
(a) Area of triangle = absin c
(b) Area of triangle  ss  as  bs  c
1.4 Application of Circular Measures
Pupils are able to:
1.4.1 Solve problems involving circular measure.
95


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


2.0 DIFFERENTIATION
KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
2.1 Limit and its Relation to Differentiation
Pupils are able to:
2.1.1 Investigate and determine the value of limit of a function when its variable approaches zero.
2.1.2 Determine the first derivative of a function f(x) by using the first principle.
Notes:
Real-life situations need to be involved throughout 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.
Exploratory activities to determine the first derivative of a function using the idea of limit needs to be involved.
dy y Wheny=fxdx lim x.
x0
The relation between the first derivative and the gradient of a tangent should be emphasised.
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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
n
for thefunctionyax ,aisaconstantandn
is an integer.
2.2.2 Determine the first derivative of an algebraic function.
2.2.3 Determine the first derivative of composite function.
2.2.4 Determine the first derivative of a function involving product and quotient of algebraic expressions.
Notes:
Differentiation notations f x dx and dx ( )
dy d
where ( ) is a function of x, need to be involved.
Further exploration using dynamic geometry software to compare the graphs of f(x) and f’(x) (gradient function graph) can be carried out.
Chain rule needs to be involved.
The use of the idea of limit to prove the chain rule can be discussed.
The use of the idea of limit to prove product rule and quotient rule can be discussed.
2.3 The Second Derivative
Pupils are able to:
2.3.1 Determine the second derivative of an algebraic function.
Notes :
=
d2y dx2
d dy
  a n d f  ( x ) 
d dx
 f  ( x ) 
dx  dx 
need to be emphasised.
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KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
2.4 Application of Differentiation
Pupils are able to:
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.
2.4.5 Solve problems involving maximum and minimum values and interpret the solutions.
Notes:
The following matters need to be involved:
(a) Sketching tangent method
(b) Second derivative method
(c) Point of Inflection
Suggested activity:
Graph sketching can be involved.
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KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
2.4.6 Interpret and determine rates of change for 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 approximations of certain quantities.
The use of chain rule needs to be emphasised.
Problems involved are limited to two variables.
101


1 Demonstrate the basic knowledge of differentiation.
2 Demonstrate the understanding of differentiation.
3 Apply the understanding of differentiation to perform simple tasks.
4 Apply appropriate knowledge and skills of differentiation in the context of simple routine problem solving.
KSSM ADDITIONAL MATHEMATICS FORM 5
PERFORMANCE STANDARDS
PERFORMANCE LEVEL
DESCRIPTOR
5
Apply appropriate knowledge and skills of differentiation in the context of complex routine problem solving.
6
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 Integrationasthe Inverse of
Differentiation
Pupils are able to:
3.1.1 Explain the relation between differentiation and integration.
Suggested activities:
The use of dynamic software is encouraged throughout this topic.
Notes:
Real-life situations need to be involved throughout this topic.
Exploratory activities need to be carried out.
3.2 IndefiniteIntegral
Pupils are able to:
3.2.1 Derive the indefinite integral formula inductively.
3.2.2 Determine indefinite integral for algebraic functions.
Notes:
Limited to , a is a constant, n is an integer
and n  1.
The constant, c needs to be emphasised.
The following integrations need to be involved: (a)
(b)
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KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
3.2.3 Determine indefinite integral for functions in the form of , where a and b are
constants, n is an integer and n  –1.
3.2.4 Determine the equation of curve from its gradient function.
Suggested activities:
Substitution method can be involved.
3.3 DefiniteIntegral
Pupils are able to:
3.3.1 Determine the value of definite integral for algebraic functions.
3.3.2 Investigate and explain the relation between the limit of the sum of areas of rectangles and the area under a curve.
Notes:
The following characteristics of definite integral need to be emphasized:
(a) (b)
,
.
The use of diagrams needs to be emphasised. Exploratory activities need to be carried out.
When n approaches , x approaches 0, area under the curve =
=
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KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
3.3.3 Determine the area of a region.
3.3.4 Investigate and explain the relation between the limits of the sum of volumes of cylinders and the generated volume by revolving a region.
3.3.5 Determine the generated volume of a region revolved at the x-axis or the y-axis.
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.
When n approaches , x approaches 0, generated volume =
=
When n approaches , approaches 0, generated volume =
=
Generated volume for region between two curves is excluded.
3.4 Application of Integration
Pupils are able to:
3.4.1 Solve problems involving integration.
106


KSSM ADDITIONAL MATHEMATICS FORM 5
PERFORMANCE STANDARDS
PERFORMANCE LEVEL
DESCRIPTOR
1 Demonstrate the basic knowledge of integration.
2 Demonstrate the understanding of integration.
3 Apply the understanding of integration to perform simple tasks.
4 Apply appropriate knowledge and skills of integration in the context of simple routine problem solving.
5 Apply appropriate knowledge and skills of integration in the context of complex routine problem solving.
6
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


4.0 PERMUTATION AND COMBINATION
KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
4.1 Permutation
Pupils are able to:
4.1.1 Investigate and make generalisation about multiplication rule.
4.1.2 Determine the number of permutations for
(i) n different objects
(ii) n different objects taken r at a time.
(iii) n objects involving identical objects.
4.1.3 Solve problems involving permutations with certain conditions.
Notes:
Real-life situations and tree diagrams need to 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.
The notation n! needs to be involved. Formula nPr = needs to be emphasised.
Cases involving identical objects or 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:
4.2.1 Compare and contrast permutation and combination.
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.
Notes:
The relation between combination and
nP nr
permutation, Cr  r! needs to be discussed.
111


KSSM ADDITIONAL MATHEMATICS FORM 5
PERFORMANCE STANDARDS
PERFORMANCE LEVEL
DESCRIPTOR
1 Demonstrate the basic knowledge of permutation and combination.
2 Demonstrate the understanding of permutation and combination.
3 Apply the understanding of permutation and combination to perform simple tasks.
4
Apply appropriate knowledge and skills of permutation and combination in the context of simple routine problem solving.
5
Apply appropriate knowledge and skills of permutation and combination in the context of complex routine problem solving.
6
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


5.0 PROBABILITY DISTRIBUTION
KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
5.1 RandomVariable
Pupils are able to:
5.1.1 Describe the meaning of random variable.
5.1.2 Compare and contrast discrete random variable and continuous random variable.
Notes:
Real-life situations need to be involved throughout this topic.
Set builder notations for discrete random variable and 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.
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KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
5.1.3 Describe the meaning of probability distribution for discrete random variables.
5.1.4 Construct table and draw graph of probability distribution for discrete random variable.
Probability Distribution is a table or a graph that displays the possible values of a random variable, along with respective probabilities.
5.2 BinomialDistribution
Pupils are able to:
5.2.1 Describe the meaning of binomial distribution.
5.2.2 Determine the probability of an event for binomial distribution.
5.2.3 Interpret information, construct table and draw graph of binomial distribution.
Notes:
The characteristics of Bernoulli trials need to be discussed.
The relation between Bernoulli trials and Binomial distribution need to be emphasised.
Tree diagram needs to be used to study the values of probability for the binomial distribution.
Formula PX  r nC pr qnr need not be derived. r
n
P(X) 1.
i1
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KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
5.2.4 Determine and describe the value of mean, variance and standard deviation for a binomial distribution.
5.2.5 Solve problems involving binomial distributions.
Mean as an expected average value when an event happens repeatedly needs to be emphasised.
Interpretation of solutions needs to be involved.
5.3 NormalDistribution
5.3.1 Investigate and describe the properties of normal distribution graph.
5.3.2 Describe the meaning of standard normal distribution.
5.3.3 Determine and interprete standard score, Z.
Notes:
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.
The importance of converting normal distribution to standard normal distribution needs to be emphasised.
The relation between normal distribution graph and standard normal distribution graph need to be discussed.
116


KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
5.3.4 Determine the probability of an event for normal distribution.
5.3.5 Solve problems involving normal distributions.
The use of the Standard Normal Distribution Table 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.
117


KSSM ADDITIONAL MATHEMATICS FORM 5
PERFORMANCE STANDARDS
PERFORMANCE LEVEL
DESCRIPTOR
1 Demonstrate the basic knowledge of random variables.
2 Demonstrate the understanding of probability distribution.
3 Apply the understanding of probability distribution to perform simple tasks.
4
Apply appropriate knowledge and skills of probability distribution in the context of simple routine problem- solving.
5
Apply appropriate knowledge and skills of probability distribution in the context of complex routine problem-solving.
6
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


6.0 TRIGONOMETRIC FUNCTIONS
KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
6.1 Positive Angles and Negative Angles
Pupils are able to:
6.1.1 Represent positive angles and negative angles in a Cartesian Plane.
Notes:
Angle in degrees and radians greater than 360 or 2 radian need to be involved throughout this topic.
The following needs to be emphasised:
(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.
6.2 TrigonometricRatiosof any Angle
6.2.1 Relate secant, cosecant and cotangent with sine, cosine and tangent of any angle in a Cartesian plane.
Suggested activities:
Exploratory activities involving the following complementary angles need to be carried out:
(a) sinθ=cos(90°−θ) (b) cos θ = sin (90° − θ) (c) tanθ=cot(90°−θ) (d) cosecθ=sec(90°−θ) (e) secθ=cosec(90°−θ) (f) cotθ=tan(90°−θ)
120


KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
6.2.2 Determine the values of trigonometric ratios for any angle.
Notes:
The use of triangles to determine trigonometric ratios for special angles 30°, 45° dan 60° need to be emphasised.
6.3 GraphsofSine,Cosine and Tangent Functions
Pupils are able to:
6.3.1 Draw and sketch graphs of trigonometric functions:
(i) y = a sin bx + c
(ii) y = a cos bx + c
(iii) y = a tan bx + c
where a, b and c are constants and b > 0.
6.3.2 Solve trigonometric equations using graphical method.
Notes:
The effect of the changes in constants a, b and c for graphs of trigonometric functions need to be discussed.
The absolute value of trigonometric functions needs to be involved.
Suggested activities:
Dynamic software can be used to explore 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
6.4 BasicIdentities
Pupils are able to:
6.4.1 Derive basic identities:
(i) (ii) (iii)
6.4.2 Prove trigonometric identities using basic identities.
Notes:
Exploratory activities involving basic identities using right-angled triangle or unit circle need to be carried out:
6.5 AdditionFormulaeand Double Angle Formulae
Pupils are able to:
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 and tan 2A.
6.5.3 Prove trigonometric identities using double- angle formulae.
Suggested activities:
Calculator can be used to verify addition formulae.
Notes:
Half-angle formulae need to be discussed.
6.6 Application of Trigonometric Functions
6.6.1 Solve trigonometric equations.
6.6.2 Solve problems involving trigonometric functions.
122


KSSM ADDITIONAL MATHEMATICS FORM 5
PERFORMANCE STANDARDS
PERFORMANCE LEVEL
DESCRIPTOR
1 Demonstrate the basic knowledge of trigonometric functions.
2 Demonstrate the understanding of trigonometric functions.
3 Apply the understanding of trigonometric functions to perform simple tasks.
4
Apply appropriate knowledge and skills of trigonometric functions in the context of simple routine problem solving.
5
Apply appropriate knowledge and skills of trigonometric functions in the context of complex routine problem solving.
6
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 LINEARPROGRAMMING
125


7.0 LINEAR PROGRAMMING
KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
7.1 LinearProgramming Model
Pupils are able to:
7.1.1 Form a mathematical model for a situation based on the constraints given and hence represent the model graphically.
Notes:
Real-life situations need to be involved throughout this topic.
Exploratory activities involving optimization need to be carried out.
7.2 Application of Linear Programming
Pupils are able to:
7.2.1 Solve problems involving linear programming graphically.
Notes:
The terms constraints, scattered region, objective function and optimum value need to be involved.
126


KSSM ADDITIONAL MATHEMATICS FORM 5
PERFORMANCE STANDARDS
PERFORMANCE LEVEL
DESCRIPTOR
1 Demonstrate the basic knowledge of linear programming model.
2 Demonstrate the understanding of linear programming model.
3 Apply the understanding of linear programming model to perform simple tasks.
4
Apply appropriate knowledge and skills of linear programming in the context of simple routine problem solving.
5
Apply appropriate knowledge and skills of linear programming in the context of complex routine problem solving.
6
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


8.0 KINEMATICS OF LINEAR MOTION
KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
8.1 Displacement,Velocity and Acceleration as a Function of Time
Pupils are able to:
8.1.1 Describe and determine instantaneous displacement,
instantaneous velocity, instantaneous acceleration of a particle.
Notes:
Number lines and sketches of graphs need to be involved throughout this topic.
The following need to be emphasised:
(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) Thedifferencebetween
 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.
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KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
8.1.2 Determine the total distance travelled by a particle in a given period of time.
The displacement function is limited to linear and quadratic.
8.2 Differentiation in Kinematics of Linear Motion
Pupils are able to:
8.2.1 Relate between displacement function, velocity function and
acceleration function.
8.2.2 Determine and interpret instantaneous velocities of a particle from displacement function.
8.2.3 Determine and interpret instantaneous acceleration of a particle from velocity function and displacement function.
Notes:
The following relations need to be emphasised:
v= ds dt
s = f(t)
s =  v dt
a= dv = d2s dt dt2
v = g(t)
a = h(t)
v =  a dt
Interpretations of graphs need to be involved.
Maximum displacement, initial velocity and constant velocity need to be emphasised.
Maximum velocity, minimum velocity and constant acceleration need to be emphasized.
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KSSM ADDITIONAL MATHEMATICS FORM 5
CONTENT STANDARDS
LEARNING STANDARDS
NOTES
8.3 Integration in Kinematics of Linear Motion
Pupils are able to:
8.3.1 Determine and interpret instantaneous velocity of a particle from accelaration function.
8.3.2 Determine and interpret instantaneous displacement of a particle from velocity function and accelaration function.
Notes:
Total distance needs to be involved.
8.4 Applications of Kinematics of Linear Motion
Pupils are able to:
8.4.1 Solve problems of kinematics of linear motion involving differentiation and integration.
132


KSSM ADDITIONAL MATHEMATICS FORM 5
PERFORMANCE STANDARDS
PERFORMANCE LEVEL
DESCRIPTOR
1 Demonstrate the basic knowledge of displacement, velocity and acceleration.
2 Demonstrate the understanding of displacement, velocity and acceleration.
3 Apply the understanding of displacement, velocity and acceleration to perform simple tasks.
4
Apply appropriate knowledge and skills of kinematics of linear motion in the context of simple routine problem solving.
5
Apply appropriate knowledge and skills of kinematics of linear motion in the context of complex routine problem solving.
6
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. 1.
2. 2.
3. 3.
4. 4.
5. 5.
6. 6.
7.
Dr. Rusilawati binti Othman Rosita binti Mat Zain Noraida binti Md. Idrus Susilawati binti Ehsan Wong Sui Yong
Alyenda binti Ab. Aziz
Noor Azura binti Ibrahim
Prof. Dr. Zanariah binti Abdul Majid Dr. Annie a/p Gorgey
PANEL OF WRITERS
Curriculum Development Division Curriculum Development Division Curriculum Development Division Curriculum Development Division Curriculum Development Division Curriculum Development Division Text Book Division
Universiti Putra Malaysia, Selangor Universiti Pendidikan Sultan Idris, Perak IPGK Kota Bharu, Kelantan
SMK Raja Muda Musa, Selangor
SBPI Sabak Bernam, Selangor
SMK Jelapang Jaya, Perak
SMK Puchong Permai, Selangor Sekolah Sultan Alam Shah, Putrajaya
8.
9. 7.
10. Gan Teck Hock
11. Asjurinah binti Ayob
12. Azizah binti Kamar
13. Bibi Kismete Kabul Khan
14. Oziah binti Othman
15. Rohani binti Md Nor
135


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