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SEKOLAH MENENGAH KEBANGSAAN BEDONG

KONTRAK RANCANGAN PENGAJARAN & PEMBELAJARAN TAHUN 2011

NAMA GURU : PN N SELVARANI

MATA PELAJARAN :ADDITIONAL MATHEMATICS TINGKATAN: 5 SN 2

PENGGAL 2: 22 MINGGU

MINGGU/BULAN

BIL LEARNING AREA /OUTCOMES JUN JUL OGO SEP

21 22 23 24 24 25 26 27 28 29 30 31 32 33 34 35 36 36 35 TRIGONOMETRIC FUNCTIONS U P C P P P

J E U E E E

negative angles I P T P P P

A E I E E E

N R R R R

I P I I I

B K E K K K

U S R S S S

plane L A T A A AA A E A A A

Cartesian plane N N N N N N

G

J P A P P

U E H E E P

5.3 Graphs of Sine, Cosine and Tangent Functions L R A R R M

A C N C C R

I U U U

B P B B

A E A A

equation using sketched graphs A N A A

iii. Solve trigonometric equations using drawn graphs N G N N

G

5.4 Basic Identities P A S S

M L P P

(a) sin² q + cos ² q = 1 (b) 1 + tan ² q = sec² q R M M

(c) 1 + cot ² q = cosec² q 2 / /

S S

iii. Solve trigonometric equations using basic identiti T T

P P

5 5 Addition Formulae and Double Angle Formulae M M

5.1 Understand the concept of positive and

i. Represent in a Cartesian plane, angles greater than 360°

or 2π radian for (a) positive angles (b) negative angles

5.2 Six trigonometry functions of any angles

i. Define sine, cosine and tangent of any angle in a Cartesian

ii. Define cotangent , secant and cosecant of any angle in a

iii. Find values of the six trigonometric functions of any angle.

iv. Solve trigonometric equations.

i. Draw and sketch the graphs of trigonometric functions :

(a) y = c + asin bx ; (b) y = c + a cos bx

(c) y = c + a tan bx

ii. Determine the number of solutions to a trigonometric

i. Prove basic identities

ii. Prove trigonometric identities using basic identities.



5 5 Addition Formulae and Double Angle Formulae M M

iv. Solve trigonometric equations

MINGGU/BULAN


21 22 23 24 24 25 26 27 28 29 30 31 32 33 34 35 36 36

6 PERMUTATIONS AND COMBINATIONS U P C P P P

J E U E E E

I P T P P P

events using multiplication rule A E I E E E

N R R R R

I P I I I

objects taken r at a time B K E K K K

U S R S S S

for given conditions L A T A A A

A A E A A A

taken r at a time for given conditions N N N N N NG

J P A P P

U E H E E P

n different objects. L R A R R M

A C N C C R

objects for given conditions. I U U U

B P B B

7 PROBABILITY A E A A

A N A A N G N N

G

P A S S

M L P P

(a) A or B occurring (b) A and B occurring. R M M

2 / /

S S

T T

P P

ii. Determine the probability of two or more events that are M M

mutually exclusive

6.1 Understand and use the concept of permutation

i. Determine the total number of ways to perform successive .

ii. Determine the number of permutations of n different objects.

iii. Determine the number of permutations of n different .

iv. Determine the number of permutations of n different objects .

v. Determine the number of permutations of n different objects

6.2 Understand and use the concept of combination

i. Determine the number of combinations of r objects from

ii. Determine the number of combinations of r objects from n

7.1 Understand and use the concept of probabilityi. Describe the sample space of an experiment.

ii. Determine the number of outcomes of an event.

iii. Determine the probability of an event.

iv. Determine the probability of two events :

7.2 Understand and use the concept of probability of

mutually exclusive events

i. Determine whether two events are mutually exclusive.



MINGGU/BULAN


21 22 23 24 24 25 26 27 28 29 30 31 32 33 34 35 36 36

8 PROBABILITY DISTRIBUTIONS U P C P P P

J E U E E E

I P T P P P

A E I E E E

N R R R R

I P I I I

binomial distributions. B K E K K K

U S R S S S

L A T A A AA A E A A A

N N N N N N

G

J P A P P

variable, Z. U E H E E P

L R A R R M

A C N C C R

vi. Solve problems involving normal distributions I U U U

B P B B 10 LINEAR PROGRAMING A E A A

10.1 Understand and use the concept of linear inequalities A N A A

N G N N

linear inequality G

P A S S

M L P P

linear inequalities. R M M

2 / /

S S

10.2 Understand and use the concept of linear programming T T

P P

M M

8.1 Understand and use the concept of binomial distribution.

i. List all possible values of a discrete random variable.

ii. Determine the probability of an event in a binomial distribution.

iii. Plot binomial distribution graphs.

iv. Determine mean, variance and standard deviation of a

v. Solve problems inolving binomial distribution.

8.2 Understand and use the concept of normal distribution.

i. Describe continuous random variables using set notations.

ii. Find probability of z–value for standard normal distribution.

iii. Convert random variable of normal distributions, X, to standardised

iv. Represent probability of an event using set notation

v. Determine probability of an event.

i. Identify and shade the region in which every point satifies a .

ii. Find the linear inequality that define a shaded region.

iii. Shade the region on the graph in which every point satifies several

iv. Find linear inequalities that define a shaded region.

i. Solve problems related to linear programming by :

(a) writing linear inequalities and equations that describle a situation ;



MINGGU/BULAN

BIL LEARNING AREA /OUTCOMES JUN JUL OGO SEP 21 22 23 24 24 25 26 27 28 29 30 31 32 33 34 35 36 36

9. MOTION ALONG A STRAIGHT LINE U P C P P P

9.1 Understand and use the concept of displacement J E U E E E

I P T P P P

fixed point. A E I E E E

N R R R R

I P I I I

interval graphically B K E K K K

U S R S S S

L A T A A A

A A E A A A

the displecement function. N N N N N N

G

J P A P P

velocity function U E H E E P

L R A R R M

A C N C C R

I U U U

differentiating the velocity function B P B B

A E A A

A N A A

integrating the acceleration function N G N N

G

acceleration function P A S S

v. Solve problems that involve motion alaong a straight line M L P P

R M M Achievement Improvement Program 2 / /

S S

T T

P P

i. Identify the direction of the displacement of a particle from a

ii. Determine the displacement of a particle from a fixed point.

iii. Determine the total distance travelled by a particle over a time .

9.2 Understand and use the concept of velocity

i. Determine the velocity function of a particle by differentiating

ii. Determine the instantanious velocity of a particle.

iii. Determine the displacement of a particle by integrating the .

9.3 Understand and use the concept of acceleration

i. Determine the acceleration function of a particle by

ii. Determine the instantanious acceleration of a particle.

iii. Determine the instantaneous velocity of a particle by .

iv. Determine the displacement of a particle by integrating the



SEKOLAH MENENGAH KEBANGSAAN BE

RANCANGAN PENGAJARAN & PEMBELAJARAN TAHUN 2011

NAMA GURU : PN N SELVARANI

MATA PELAJARAN :ADDITIONAL MATHEMATICS TINGKATAN:

PENGGAL 1: 20 MINGGU

MINGGU/BULAN

BIL LEARNING AREA /OUTCOMES JAN FEB MAC APR

1 2 3 4 5 6 7 8 9 10 11 12 13 13 14 15

1 PROGRESSIONS U C U

1.1 Understand and use the concept of Arithmetic Progression J U J

i.Identify characteristic of arithmetic progressions. I T I

A I A

iii. Determine by using formula N N

P

B E B

U R U

progression L T L

(b) Find the sum of a specific number of consecutive A E A

terms of an arithmetic progression N N N

(c) Find the value of n, given the sum of the first n terms G

of arithmetic progressions F A M

E H A

B A C

1.2 Understand and use the concept of N Geometric Progression

P

E

iii.Determine by using formula N

G

(b) the number of terms in a geometric progression G

A

progression L

(b) Find the sum of a specific number of consecutive termsof a geometric progression I

(c) Find the value of n, given the sum of the first n terms

of a geometric progressions

ii. Determine whether a sequence is an arithmetic progression

(a) specific terms in arithmetic progressions ;

(b) the number of terms in an arithmetic progression

iv. (a) Find the sum of the first n terms of an arithmetic

v. Solve problems involving arithmetic progressions

i. Identify characteristic of geometric progressions.

ii. Determine whether a sequence is a geometric progression

(a) specific terms in geometric progressions ;

iv. (a) Find the sum of the first n terms of a geometric



MINGGU/BULAN

BIL LEARNING AREA /OUTCOMES JAN FEB MAC A

1 2 3 4 5 6 7 8 9 10 11 12 13 13 14

2 LINEAR LAW U C U

2.1 Lines of Best Fit J U J

I T I

A I A

N N

P

B E B

2.2 Application of Linear Law to Non-linear Relations U R U

L T L

A E A given : N N N

G

F A M

E H A

B A C

N

3 INTEGRATION P

3.1 Indefinite Integrals E N

G

G

A

L

vi. Determine by substitution the integrals of expressions of I

3.2 Definite Integrals

i Draw lines of best fit by inspection of given data.

ii Write equations for lines of best fit

iii Determine values of variables from

(a) lines of best fit

(b) equations of lines of best fit

i Reduce non- linear relations to linear form

ii Determine values of constants of non-linear relations


(b) data

iii Obtain information from


(b) equations of lines of best fit

i Determine integrals by reversing differentiation

ii. Determine integrals of axn, where a is a constant and n

is an integer, n ≠ -1

iii Determine integrals of algebraic expressions

iv Find constants of integration, c in indefinite integrals

v Determine equations of curves from functions of gradients

the form ( ax + b )n , where a and b are constants,

n is an integer and n≠−1

i Fi d d fi i i l f l b i i



MINGGU/BULAN

BIL LEARNING AREA /OUTCOMES JAN FEB MAC A

1 2 3 4 5 6 7 8 9 10 11 12 13 13 14

4 4. VECTORS U C U

4.1 Understand the concept of vectors J U J

I T I

A I A

line segment N N

P

line segment representing a vector B E B

U R U L T L

A E A

N N N

G

substraction of vectors F A M

E H A

added B A C

N

P

three or more non-parallel vectors. E

N

non parallel vectors G

G

A

substraction of vectors. L

I

i. Differentiate scalar and vector quantities

ii Represent a vector by drawing and labelling a directed

iii. Determine the magnitude and direction of a directed

iv. Determine whether two vectors are equal.v Mutiply a vector by a scalar quantity

vi Determine whether two vectors are parallel

4.2 Understand the concept of addition and

i. Determine the resultant vector when two parallel vectors are

ii Use the triangle law or the parallelogram law to determine

resultant vector of two non-parallel vectors

iii Use the polygon law to determine the resultant vector of

iv Perform subtraction on two vectors which are parallel or

v. Combine vectors to a single vector

vi. Solve problems which involve the addition and

4.2 Understand the concept of vectors in the Cartesian plane

i Use or xi + yj to represent a vector in a Cartesian plane

ii. Determine the magnitude of a vector.

iii i h i f i di i f

x y

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