RPT_F5_2013

7/27/2019 RPT_F5_2013

1/17

LEARNING AREA: 1) NUMBER BASES MATHEMATICS : FORM 5

WEEK/DATE LEARNING OBJECTIVES LEARNING OUTCOMES GENERICS CCTS MORAL VALUE NOTES

WEEK 1&2

2/1/13

11/1/13

Students will be taught to:

1. Understand and use the

concept of number in base two,

eight and five.

Students will be able to:

(i) State zero, one, two, three,, as a number in

base:

a) twob) eight

c) five

(ii) State the value of a digit of a number in

base:

a) twob) eightc) five

(iii) Write a number in base:

a) twob) eightc) fivein expanded notation.

ICT

Contextual learning

Cooperativelearning

Concept-tual

Compare andcontrast

Systematic

Rational

Accurate


iv) convert a number in base :

a) twob) eightc) five

to a number in base ten and vice versa.

v) convert a number in a certain base to a

number in another base.

ICT

Contextual learning

Cooperative

learning

Identify patterns

Identify relations

Arrange sequen-

tially

Systematic

Consistent


(vi) Perform computations involving :a) additionb) subtractionof two numbers in base two

7/27/2019 RPT_F5_2013

2/17

LEARNING AREA: 2) GRAPHS OF FUNCTIONS II MATHEMATICS : FORM 5


WEEK 3

14/1/13-

18/1/13


2.1 Understand and use the concept

of graphs of functions.


(i) Draw the graph of a ;

a) linear function;

,baxy

where a and b are

constants

b) quadratic function;

cbxaxy 2

,

where a, b and c are

constants, a 0

c) cubic function;

dcxbxaxy 23

,

where a,b,c and d are

constants, a0

d) reciprocal function :,

x

ay where a is a

constants, a0.

(ii) 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.

Constructivism

Mastery learning

Self-access learning

Concept

constructivism

Compare and

contrast

Analising

Mental visualization

Relationship

Punctuality

Awareness

Systematic

Neatness


iii) Identify:

a)the shape of graph given a type of functionb) the type of function given a graph

c) the graph given a function and vice versa.

iv) Sketch the graph of a given

linear,quadratic,cubic or reciprocal function.

Mastery learning

Cooperative

learning.

Contextual learning

Comparing &

Differentiating

Classifying

Identifying

patterns

Accuracy

Systematic

7/27/2019 RPT_F5_2013

3/17


WEEK 4&5

21/1/13

31/1/13


2.2 Understand and use the

concept of the solution of an

equation by graphical methods.


i) Find the point(s) of intersection of two

graphs.

(ii) Obtain the solution of an equation by

finding the point(s) of intersection of two

graphs.(iii) Solve problems involving solution of an

equation by graphical method.

Self access learning

Cooperative

learning

Constructivisme

(i)Identifying

patterns.

(ii)Identifying

relations.

(iii)Recognizing

andrepresenting.

(iv)Representing

and

interpreting

data.

Rationale

Diligence

Systematic

Accuracy



concept of the region

representing in inequalities in

two variables.


i) Determine whether a given point satisfies :

baxy or

baxy or

baxy

ii) Determine the position of a given point

relative to the equation baxy

iii) Identify the region satisfying

baxy or

baxy iv) Shade the regions representing the

inequalities

a) baxy or

baxy

b) baxy or

baxy v) Determine the region which satisfies two or

more simultaneous linear inequalities.

Enquiry

Discovery

Constructivism

Identifying

patterns

Systematic

Determination

Making

inferences

7/27/2019 RPT_F5_2013

4/17

LEARNING AREA: 3) TRANSFORMATIONS III MATHEMATICS : FORM 5


WEEK 6

4/2/13 -

8/2/13



concept of combination of two

transformations.


i. Determine the image of an object under

combination of two isometric transformations.

ii. Determine the image of an object under

combination of

a. two enlargements.

b. an enlargement and an isometric

transformation.

iii. Draw the image of and object under

combination of two transformations.

iv. State the coordinates of the image of a

point under combined transformation.

Constructivism

ContextualLearning

Mastery Learning

Multiple

Intelligence theory

Identifying

relations

Characterizing

Comparing and

Differentiating

Interpreting

Identifying

Relation

Drawing

Diagrams

Systematic

Determination

Accuracy

Rules and

Regulations

Self Confidence

Neatness


v. Determine whether combined

transformation AB is equivalent to combined

transformation BA.

vi. Specify two successive transformation in a

combined transformation given the object and

the image.

vii. Specify a transformation which is

equivalent to the combination of two isometric

transformations.

viii. Solve problems involving transformation.

Multiple

Intelligence

Mastery Learning

ICT

Comparing andDifferentiating

Identifying

Relation

Logical Reasoning

Representing and

Interpreting Data

Using Analogies

Working OutMentally

Find all possible

solution

Rational

Cautious

Systematic

Hardworking

Honesty

Cooperation

7/27/2019 RPT_F5_2013

5/17

LEARNING AREA: 4) MATRICES MATHEMATICS : FORM 5


WEEK 7

11/2/13-

15/2/13CHINESE NEW YEAR

WEEK 8&9

18/2/13-

28/2/13INTERVENSI TING. 5

WEEK 10

4/3/13-

8/3/13


4.1 understand and use the

concept of matrix.


i) form a matrix from given information.

ii) Determine :

a) the number of rowsb) the number of columnsc) the order of a matrixiii) Identify a specific element in a matrix.

Contextual learning

Constructivism

Mastery learning

Arranging

sequentially

Collecting and

handling data

Identifying

patterns

Identifying

patterns

Neatness and

systematic

Accurate

Systematic



concept of equal matrices.


i) Determine whether two matrices are equal.

ii) Solve problems involving equal matrices.

Mastery learning

Using algorithm

and relationship

Comparing anddifferentiating

Systematic

Accurate


4.3 Perform addition and

subtraction on matrices.


i) Determine whether addition or subtraction

can be performed on two given matrices.


Constructivism

Mastery learning

Comparing and

differentiating

Using algorithm

and relationship

Cooperation

Rationale

Confidence

7/27/2019 RPT_F5_2013

6/17

ii) Find the sum or the difference of two

matrices.

iii) Perform addition and subtraction on a few

matrices.

iv) Solve matrix equation involving addition and

subtraction

Communication

method of learning

Contextual learning

Multiple

intelligences

Future studies

Problem solving

Analyzing

Making

inferences

Problem solving

Systematic

WEEK 11

11/3/13

15/3/13


4.4 perform multiplication of a

matrix by a number.


i) Multiply a matrix by a number.

ii) Express a given matrix as a multiplication of

another matrix by a number.

iii) Perform calculation on matrices involving

addition, subtraction and scalar multiplication.

iv) Solve matrix equations involving addition,

subtraction and scalar multiplication.

Mastery learning

Contextual learning

Constructivism


Evaluating

Using algorithm

and relationship

Conceptualize

and finding all

possible solutions

Evaluating and

problems solving

systematic


4.5 Perform multiplication of

two

matrices


i. Determine whether two matrices can be

multiplied and state the order of the product

when the two matrices can be multiplied.

ii. Find the product of two matrices

iii.Solve matrix equations involvin

multiplication

of two matrices.

Constructivism ICT Cooperative Learning

Identifyingpatterns

Arrangingsequentially

Recognizingand

representing

Makinggeneralization

Classifying

Determination Systematic Consistent Diligence Neatness

7/27/2019 RPT_F5_2013

7/17

7/27/2019 RPT_F5_2013

8/17

(iii) Solve simultaneous linear equations by the

matrix method.

(iv) Solve problems involving matrices.

Mastery LearningICT

Data

LEARNING AREA: 5) VARIATIONS MATHEMATICS : FORM 5


WEEK 14

8/4/13-

12/4/13



of direct variation


(i)State the changes in a quantity with respect to the

changes in another quantity, in everyday life

situations involving direct variation.

(ii)Determine from given information whether a

quantity varies directly as another quantity.

(iii)Express a direct variation in the form of equation

involving two variables.

(iv)Find the value of a variable in a direct variation

when sufficient information is given.

(v)Solve problems involving direct variations for the

following cases:

xy ; 2xy ;

3xy : 21

xy

Contextual Learning

Self- access Learning

Communication

Method of Leaning

Identifying

relations

Making

generalization

Estimating

Rationale

Systematic

Tolerance

Hardworking


5.2 Understand and use the conceptof inverse variations


i) State the changes in a quantity with respect tochanges in another quantity, in everyday life

situations involving inverse variation.

ii) Determine from given information whether a

quantity varies inversely as another quantity.

iii) Express a inverse variation

in the form of equation

Contructivism

Communication

method of learning

Cooperative learning

Making inferences

Representing and

interpreting data

Identifying relations

Problem

Solving

RationalSystematic

Rational

Systematic

Accuracy

7/27/2019 RPT_F5_2013

9/17

WEEK 15

15/4/13-

19/4/13

involving two variables.

iv) Find the value of a variable in an inverse variation


v) Solve problems involving inverse variation for the

following cases:

xy

1 ;

2

1

xy ;

3

1

xy ;

2

1

1

x

y



of joint variation.


i) 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.

ii) Express a joint variation in the form of equation.

iii) Find the value of a variable in a joint variation


iv) Solve problems involving joint variation.

Constructivism

Cooperative learning

Multiple intelligences

Selfaccess

learning

Mastery learning

Identifying

relations

comparing and

differentiating

collecting and

handling data

using analogies

finding all possible

solutions

Cooperation

Punctuality

Systematic

Rational

7/27/2019 RPT_F5_2013

10/17

LEARNING AREA: 6) GRADIENT AND AREA UNDER A GRAPH MATHEMATICS : FORM 5

DATE LEARNING OBJECTIVES LEARNING OUTCOMES GENERICS CCTS MORAL VALUE NOTES

WEEK 16

22/4/13-

26/4/13



concept of quantity

represented by the gradientof a graph.


(i) State the quantity represented by thegradient of a graph.

(ii)Draw the distance-time graph, given ;a) a table of distance-time values.

b) a relationship between distance andtime.

(iii) Find and interpret the gradient of adistance-time graph.

(iv) Find the speed for a period of time from adistance-time graph.

(v) Draw a graph to show the relationship

between two variables representing certain

measurements and state the meaning of its

gradient.

Contextual learning Recognizing andrepresenting

Comparing and

differentiating

Interpreting data

Rationality

Respect

WEEK 17

29/4/13-

3/5/13


6.2 Understand the concept of

quantity represented by the area

under a graph.


(i) State the quantity represented the areaunder a graph.

(ii) Find the area under a graph.(iii) Determine the distance by finding the

area under the following types of speed-

time graph:

(a) v= k

(uniform

speed)

(b) v= kt

(c) v= kt + h

(d) a

combination

of the above.

(v) Solve problems involving gradient and area

under a graph.

Constructivism Recognising and

representing

Respect

7/27/2019 RPT_F5_2013

11/17

LEARNING AREA: 7) PROBABILITY II MATHEMATICS : FORM 5


WEEK

18,19&20

6/5/13-23/5/13

PEPERIKSAAN PERTENGAHAN TAHUN TING. 5

25/5/13-

9/6/13CUTI PERTENGAHAN TAHUN

WEEK 21

10/6/13-

14/6/13



concept of probability of an

event.


i) Determine the

sample space of

an experimentwith equally likely outcomes

ii) Determine the probability of an event with

equiprobable sample space.

iii) Solve problems involving probability of an

event.

Contextual

Learning

Mastery Learning

Making inference

Working out mentally

Finding all possible

solutions.


solutions.

Determination

Cooperation

Rational


7.2 Understand and

use the concept of probability ofthe complement of an event.


i)State the complement of an event in :

a) wordsb) set notation(ii) Find the probability of the complement of

an event

Constructivism

Contextual

Learning


Finding allPossible

solutions

Making inferences

Drawing

Diagrams

Cooperation

Equity

Rationale

Precise

7/27/2019 RPT_F5_2013

12/17

WEEK 22

17/6/13-

21/6/13



concept of probability of

combined event


i) List the outcomes for events :a) A or B as elements of set

A B

ii) Find the probability by listing the outcomes

of the combined event :

a) A or B

Mastery

Learning

Enquiry

Discovery

Estimating

Identifying

Patterns

Identifying

Relations


solutions

Tolerance

Determination

Consistent

LEARNING AREA: 8) BEARING MATHEMATICS : FORM 5


WEEK 23

24/6/13-28/6/13

Students will be taught to :


concept of bearing

Students will be able to :

(i) Draw and label the eight main compass

directions:(a) north, south, east, west

(b) north-east, north-west, south-east,

south-west

(ii) State the compass angle of any compass

direction

(iii) Draw a diagram of a point which shows

the direction of B relative to another point

A given the bearing of B from A

(iv) State the bearing of point A from point bbased on given information

(v) Solve problems involving bearing

Constructivism

Cooperative

Multiple

intelligence

Mastery learning

Contextual


(Mathematical-

logicalVerbal-linguistic)

Making connections

Visualize mentally

Interpret

Draw diagrams

Recognizing

relationship

Problem solving

Cooperation

Accuracy

Neatness

Carefulness

Responsibility

Appreciation

7/27/2019 RPT_F5_2013

13/17

LEARNING AREA: 9) EARTH AS A SPHERE MATHEMATICS : FORM 5


WEEK 24

1/7/13-

5/7/13



concept of longitude.


(i) Sketch a great circle through the north and

south poles.

(ii) State the longitude of a given point.

(iii) Sketch and label a meridian with the

longitude given.

(iv) Find the difference between two

longitudes. (i) Sketch a great circle through

the north and south poles.

(ii) State the longitude of a given point.

(iii) Sketch and label a meridian with the

longitude given.


longitudes.

Contextual learning

Constructivism

Identifying patterns


Understanding



concept of latitude


(i) Sketch a circle parallel to the equator.

(ii) State the latitude of a given point.

(iii)Sketch and label a parallel of latitude.


latitudes.

Constructivism


Cooperative

Learning

Enquiry-discovery

Communication

method of

learning

Drawing diagrams


solutions

Logical

Reasoning

Recognizing &

interpreting data

Rational

Cooperation

Sharing

Systematic

Tolerance

7/27/2019 RPT_F5_2013

14/17

WEEK 25

8/7/13-

12/7/13


9.3 Understand he concept of

location of a place.


(i) State the latitude and longitude of a given

place.

(ii) Mark the location of a place.

(iii)Sketch and label the latitude and longitude

of a given place.

Contextual

Learning,

Constructivism,

Communication

Method of

Learning.

Logical Reasoning,

Identifying Relation,

Recognizing and

Representing.

Systematic,

Neatness,

Public

Spiritedness.



concept of distance on the

surface of the earth to solve

problems


(i) 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

(ii) find the distance between two points

measured along a meridian, given the

latitudes of both points.

(iii) find the latitude of a point given the

latitude of another point and the distance

between the two points along the same

meridian.

(iv) find the distance between two points

measured along the equator, given the

longitudes of both points.

(v) find the longitudes of a point given the

longitude of another point and the distance

between the two points along the equator.

(vi) state the relations between the radius of

the earth and the radius of a parallel of

latitude.

ContextualLearning

Enquiry discovery

Constructivism

Enquiry discovery

Cooperativelearning

CommunicationMethod of

Learning


Representing and

interpreting data

Drawing diagrams

Systematic

Rational

Neatness

7/27/2019 RPT_F5_2013

15/17

WEEK 26

15/7/13-

19/7/13

(vii) 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.

(viii) find the distance between two points

measured along a parallel of a latitude.

(ix) find the latitude of a point given the

longitude of another point and the distance

between the points along a parallel of

latitude.

(x) Find the shortest distance between two

points on the surface of the earth.

(xi) Solve problems involving :-

(a) distance between two points(b) traveling on a surface of the earth.

MasteryLearning

MultipleLearning

Self accessLearning

Thinkingskills



Comparing &

differentiating

Making inferences

Systematic

Rational

Cooperation

Tolerance

Sharing

WEEK

27,28&29

22/7/13-

6/8/13

UJIAN 2 TING. 5

7/8/13-

18/8/13

CUTI PERTENGAHAN PENGGAL 2

7/27/2019 RPT_F5_2013

16/17

LEARNING AREA: 10) PLANS AND ELEVATIONS MATHEMATICS : FORM 5


WEEK 30

19/8/13 -

23/8/13



concept of orthogonal

projection


10.1.1 Identify orthogonal projection10.1.2 Draw orthogonal projection ,given

an object and a plane

10.1.3 Determine the difference betweenan object and

Contextual

learning

Mastery Learning

Comparing and

Differentiating

Visualization

Identifying

relationship

Accuracy

Creative thinking

Systematic



Concept of plan and

elevation


10.2.1 Draw the plan of a solid Object10.2.2 Draw

a) the front elevationb) side elevation of a solid object

10.2.3 Draw

a) the plan

b) the front elevation

c) the side elevation of a

solid object to scale

10.2.3 Solve problems involvingplans and elevation

Mastery Learning

Self access learning

Constructivism

Analyzing

Synthesizing

Identifying

Relationship

Accuracy

Creative thinking

Systematic

Self Confident

Neatness

Dedication

Determination

WEEK 31

26/8/13-

30/8/13

REVISION/ULANGKAJI

WEEK 32-34

2/9/13 -

20/9/13

TRIAL SPM

7/27/2019 RPT_F5_2013

17/17

WEEK 35-40

23/9/13-

1/11/13

REVISION/ULANGKAJI

PEPERIKSAAN SPM

PREPARED BY,

____________________________

(SITI NUR BAINI BT HUSSIN)

FORM 5 MATHEMATICS TEACHER

RPT_F5_2013

Documents

Transcript of RPT_F5_2013