SEKOLAH MENENGAH KEBANGSAAN RAJA PEREMPUAN, IPOH

SCHEME OF WORK MATHEMATICS T (PAPER 2)

PRA-U1 2010

WEEK/DATE / TOPIC/CONTENT / LEARNING OBJECTIVES / LEARNING OUTCOMES / ACTIVITIES & VALUES / TEACHING AID
18
10.5.10-14.5.10 / ORIENTATION WEEK
19 – 21
17.5.10-4.6.10 / 1. DATA
DESCRIPTION
1.1 Representation of data
i) Discrete and
continuous data
ii) Frequency
distribution
iii) Stemplots
iv) Frequency polygon
v) Histogram
vi) Ogive /cumulative
frequency curve. / Pupils should be able to
a) To distinguish between
discrete and continuous
data, grouped and
ungrouped data.
b) To construct and interpret
stemplots.
c) To construct and interpret frequency
polygon.
d)To construct and interpret histogram.
i) with equal class width
ii) with unequal class width
e) To construct and interpret
cumulative frequency
curve( ogive).
i) “less than “ ogive
ii) “more than” ogive / Pupils should be able to
a) identify the types of
data given.
b) apply the properties
of a stemplot.
c) apply the properties of
frequency polygon,
histogram and cumulative
frequency curve / Induction set Explaining relevant
examples.
Show the correct method of drawing frequency polygon,
histogram and ogive.
Moral Value:
Cooperation
Systematic
Concentrate / White-board
Grid board
Soft wares
Calculator
CD and LCD
5.6.10 – 20.6.10 / FISRT SEMESTER BREAK
22 – 24
21.6.10-9.7.10 / 1.2 Measures of central
tendency
i) mean
ii) mode
iii) median
iv) Boxplot
v) Relative frequency
distribution / a) To calculate mean, mode &
median of ungrouped data.
b) To calculate mean, mode & median
of grouped data.
c) To determine the median & mode
from histogram.
d) To determine median & quartiles
from ogive.
e) To construct boxplots. / a) use the correct formula to
determine the value of mean,
mode and median / Discuss the calculation of mean, mode and median for ungrouped and grouped data. / Graph paper
CD and LCD
Calculator
25 – 27
12.7.10- 30.7.10 / 1.3 Measures Of
Dispersion
i) Range
ii) Quartiles
iii) Interquartiles
range
iv) Semi-interquartiles
range
v) Variance
vi) Standard deviation / a) To calculate the range, first and third
quartile, interquartile and semi-
interquartile range for ungrouped
data.
b)To calculate the variance and
standard deviation
c) To derive and use the formula
=- n(x)
d) To determine the shape of
distribution.
e) To construct a boxplot.
f) To identify the outliers. / a) apply the correct formula
a) differentiate the value of
interquartile and semi-
interquartile range.
c) identify the properties of a
boxplot.
d) determine the upper and
lower outlier
e) answer STPM questions / Induction set.
Discuss the calculation of the measure of dispersion. / Graph paper
CD & LCD
Calculator
28
2.8.10 – 6.8.10 / USBF 2
29 - 30
9.8.10 – 20.8.10 / 2. PROBABILITY
2.1 Techniques of
counting
i) Sets
ii) Permutation
iii) Combination / Pupils should be able to
a) Counting rules for finite sets.
b) To apply the properties of sets.
c) To apply the formula of permutation
of
i) n different objects
ii) n objects taking r objects
iii) objects in a circular arrangement.
d) To apply the formula of
combination of n different objects
taking r objects each time / Pupils should be able to
a) the value of n factorial.
b) use the calculation of P
c) use the calculation of C
/ Teacher explains the rule of sets
Discuss how to solve problems involving permutations and combinations
Moral Value:
Concern
Cooperation
Unity / Calculator
CD & LCD
31 - 32
23.8.10-3.9.10 / 2.2 Events and
Probabilities
i) Mutually exclusive
events.
ii) Independent events
iii) Conditional events
iv) Probability of
conditional events
v) Problems solving / a) To understand the concept of
sample space, event and
probabilities
b) To calculate the probability of an
event.
c) To distinguish between exclusive
and non-exclusive event.
d) To apply the formula
P(AB)=P(A) +P(B)-P(AB).
e) To apply the formula of
independent event
f) To apply the formula of conditional
event.
g) To calculate P(A/B) or P(B/A)
h) To apply the formula
P(AB)= P(A) x P(B/A) / a) determine the probability of
a given event.
b) identify the relation between
independent and conditional
event. / Teacher explains the rule of sets
Discuss how to solve problems involving permutations and combinations
Use of P(AB) = P(A) + P(B) – P(AB)
Teacher discuss the meaning of conditional and independent events and shows how to use the formula
P(AB) = P(A) x P(B/A) / Calculator
CD & LCD
4.9.10-12.9.10 / SECOND MID TERM BREAK
HARI RAYA AIDILFITRI
33 - 34
13.9.10-24.9.10 / 3. DISCRETE
PROBABILITY
DISTRIBUTIONS
3.1 Random Variables
i) Discrete Random
Variables (DRV)
ii) Continuous
Random
Variables
iii) Probability
distribution table
iv) Probability
distribution
3.2 Mathematical
Expectation
i) Mean, variance and
standard deviation
ii) Expected values and
Variance / Pupils should be able to
a) understand the concept of a DRV
b) construct a probability distribution
table for DRV
a) Understand the concept of
mathematical expectation
b) Calculate the expected value of X,
E(X)
c) Use the Expectation formula :
E(g(x)) = Σ g(x). P(X = x)
d) Show that E(a) = a,
E(aX b) = aE(X) b
e) Derive and use the formula
E(X - µ)2 = E(X2) - µ2
f) Calculate Var(X), Var( g(x) )
g) Use the formula to find the expected
and variance of linear combination
of two DRV, X , Y / Pupils should be able to
a) calculate the probability of
discrete random variable
b) solve problems on DRV
a) Calculate the mean and
variance of a discrete
random variable.
b) Use formulae :
E(aX b) = aE(X) b
Var (aX b) = aVar(X)
E(aX bY) = aE(X)bE(Y)
Var(aX bY) = aVar(X) + bVar(Y)
/ Explanation on DRV and how to construct the probability distribution table for DRV
Teacher explains the mathematical expectation and how to determine E(X)
Students are asked to prove all the mathematical expectations
Discuss the proof of
E(X - µ)2 = E(X2) - µ2
Teacher shows how to calculate variance of X and how to find the expected and variance of linear combination of two DRV, X , Y
Moral Value:
Gratitude
Systematic
Politeness / Calculator
CD & LCD
Reference book
35
27.9.10-1.10.10 / 3.3 The Binomial
Distribution
X ~ B(n, p) / a) Understand the concept of the
Binomial Distribution, X~ B(n, p)
b) Use the probability function of
X ~ B(n, p)
c) Find the mean and variance of X.
d) Determine the value of X that most
likely to occur. / a) Determine the probability of
an event that follows a
binomial distribution.
b) Determine the mean,
variance and standard
deviation of a binomial
distribution.
c) Solve problems involving
Binomial Distribution. / Teacher explains the Binomial Distribution and how to solve the problems involving X ~ B(n, p) / Calculator
CD & LCD
36
4.10.10-8.10.10 / 3.4 The Poisson
Distribution.
X ~ P(l)
°
/ a) Understand the concept of the
Poisson Distribution, X ~ P(l).
b) Understand the probability function of the Poisson distribution
c) Find the mean and variance of x..
d) Determine the value of x that is most likely to occur.
e) Use the Poisson distributions as
an approximation to the Binomial distribution. . / a) Find the probability of Poisson distribution.
b) Convert a random variable of
a binomial distribution , X, to
the Poisson distribution.
c) Determine the probability of
an event that follows a
Poisson Distribution.
d) Solve problems involving
Poisson Distribution. / Teacher explains the Poisson Distribution and how to solve the problems involving
X ~ P(l). / Calculator
CD & LCD
37
11.10.10 – 15.10.10 / Revision
38 – 39
18.10.10 - 29.10.10 / YEAR-END EXAMINATION
40
1.11.10 – 5.11.10 / Post-Test Discussion
41 – 42
8.11.10 – 19.11.10 / 4. Solutions of triangles
4.1 The sine rule
4.2 The cosine rule
4.3 Heron’s Formula
4.4 Area of triangles
4.5 Bearing and locations
4.6 Problem solving. / a.) To prove the formulae.
b.) To construct diagram correctly
c.) To identify bearing and location
d.) To calculate the
area of triangle by applying the correct formula
e.) To solve three dimensional problems / Pupils should be able to
a.) Use the formulae correctly
b.) determine the sides or angles
of a triangle .
c.) prove Heron’s formula
d.) calculate the unknowns
e.) solve trigonometry problems.
f.) answer past-year STPM questions. / a.) Set induction
b.) Explaining
the use of
symbols
c ) Explaining
the contents
d.) Attempt past
year STPM
questions
e.) Revision
exercises
Moral Value:
Cooperation
Systematic
Concentrate

Prepared by, Checked by, Certified by, Verified by,

………………………… ………………………… ………………………… …………………………

(CIK WONG LAI KEEN) (PN. HJH. AZIAH BT SHAMSUDDIN)