RPH WEEK 3&4

January 29, 2010
GAN TECK JEEN

RPH 2010 : WEEK 3 ( 18 Jan – 24 Jan )

Date 18 Jan 2010 ( Monday )
Class 4K4
Time 7.05-8.15
Learning Area Standard Form.( Problem solving )
Learning Objective To understand and use the concept of standard form.
Learning Outcomes Students will be able to :

i)  perform calculation involving a few operations.

ii) give the answer in standard form.

Activities Discussions , Doing exercise
Moral Value Cooperative
Teaching aid Text book.
Homework Assessment corner.
Reflection All students are able to understand the concept.
   
Class 5S4 ( 10.20-11.30)

5K5( 12.05-12.40 )

Learning Area Number Bases
Learning Objective Converting number from one base to another base.
Learning Outcomes : Students will be able to :

i) read the numbers in  base 8, 5 and 2 correctly.

ii)change number from base 8, 5 and 2 into base 10 and vice    

    versa.

Activities Discussions , Doing exercise.
Moral Value Be positive
Teaching aid Calculator.
Homework Check point 6,7.
Reflection All students are able to understand the concept.

 

Date 19 Jan 2010 ( Tuesday )
Class 5K6 ( 7.05 – 8.15 )

5S2( 9.45 – 10.55 )

Learning Area Number Bases
Learning Objective Problem Solving
Learning Outcomes Students will be able to :

i) change numbers in  one base to another base correctly.

ii) solve problem involving number bases

Activities Discussions , Doing exercise
Moral Value Cooperative
Teaching aid Coloured chalk, calculator
Homework Mathematical skills
Reflection All students are able to understand the concept.

 

Date 20  Jan 2010 ( Wednesday )
Class 4K4 ( 10.55-12.05 )
Learning Area Standard Form.( Problem solving )
Learning Objective To understand and use the concept of standard form.
Learning Outcomes Students will be able to :

i)  perform calculation involving a few operations.

ii) give the answer in standard form.

Activities Discussions , Doing exercise
Moral Value Cooperative
Teaching aid Text book.
Homework Assessment corner.
Reflection All students are able to understand the concept.
   
Class 5S5 ( 8.15-9.25)

5S2 ( 9.45-10.20 )

5MPV ( 12.05- 12.40 )

Learning Area Graph or functions
Learning Objective To understand and use the concept of graph of functions.
Learning Outcomes : Students will be able to :

i) determine types of graphs.

ii)sketch the graph of functions.

Activities Discussions , Doing exercise.
Moral Value Be positive
Teaching aid Calculator.
Homework -
Reflection All students are able to understand the concept.

 

Date 21  Jan 2010 ( Thursday )
Class 5K6 ( 8.15-9.25 )
Learning Area Graph of Functions
Learning Objective Types of graph of functions.
Learning Outcomes Students will be able to :

i) determine the types of graphs.

ii)sketch the graph of functions.

Activities Discussions , Doing exercise.
Moral Value Be positive
Teaching aid Calculator.
Homework -
Reflection All students are able to understand the concept.
   
Class 4K4 ( 10.55 – 11.30  )
Learning Area Factorisation
Learning Objective To understand and use the concept of factorizations.
Learning Outcomes Students will be able to :

i)  find the common factor.

ii) perform factorization correctly.

Activities Discussions , Doing exercise
Moral Value Cooperative
Teaching aid Text book.
Homework Exercise 2.2B
Reflection All students are able to understand the concept.

 

Date 22 Jan 2010 ( Friday )
Class 5S2 (7.05-8.15)

5K6 (8.50-9.25)

5MPV (10.40-11.40)

Learning Area Graph of Functions
Learning Objective Drawing graph of functions(Quadratic Function).
Learning Outcomes Students will be able to :

i) determine the types of graphs.

ii)draw the graph of functions.

Activities Discussions , Doing exercise.
Moral Value Hardwork
Teaching aid Calculator.
Homework Check point 4
Reflection All students are able to understand the concept.

 

Date 23 Jan 2010 ( Saturday )
Class 5K6 ( 8.15-9.25 )
Learning Area Graph of Functions
Learning Objective Drawing graph of functions(Quadratic Function).
Learning Outcomes Students will be able to :

i) determine the types of graphs.

ii)draw the graph of functions.

Activities Discussions , Doing exercise.
Moral Value Hardwork
Teaching aid Calculator.
Homework Check point 4
Reflection All students are able to understand the concept.
   
Class 4K4 ( 10.55 – 11.30  )
Learning Area Factorisation
Learning Objective To understand and use the concept of factorizations.
Learning Outcomes Students will be able to :

i)  find the common factor.

ii) perform factorization correctly.

Activities Discussions , Doing exercise
Moral Value Cooperative
Teaching aid Text book.
Homework Exercise  2.2 C.
Reflection All students are able to understand the concept.

 

GAN TECK JEEN

RPH 2010 : WEEK 4 ( 25 Jan – 31 Jan )

Date 25 Jan 2010 ( Monday )
Class 4K4
Time 7.05-8.15
Learning Area Quadratic Expressions and Equations
Learning Objective To understand and use the concept of quadratic expressions.
Learning Outcomes Students will be able to :

i)  perform an expansion.

ii) express the product of two linear expressions.

Activities Discussions , Doing exercise
Moral Value Cooperative
Teaching aid Text book.
Homework Exercise 2.1B.
Reflection All students are able to understand the concept.
   
Class 5MPV( 10.20-11.30)

5K5( 12.05-12.40 )

Learning Area Number Bases
Learning Objective Converting number from one base to another base.
Learning Outcomes : Students will be able to :

i) read the numbers in  base 8, 5 and 2 correctly.

ii)change number from base 8, 5 and 2 into base 10 and vice     

    versa.

Activities Discussions , Doing exercise.
Moral Value Be positive
Teaching aid Calculator.
Homework Check point 6,7.
Reflection All students are able to understand the concept.

 

Date 26  Jan 2010 ( Tuesday )
Class 5K6 ( 7.05 – 8.15 )

5S2( 9.45 – 10.55 )

Learning Area Graph of Functions
Learning Objective Types of graph of functions.
Learning Outcomes Students will be able to :

i) determine the types of graphs.

ii)sketch the graph of functions.

Activities Discussions , Doing exercise.
Moral Value Be positive
Teaching aid Calculator.
Homework -
Reflection All students are able to understand the concept.

 

Date 27  Jan 2010 ( Wednesday )
Class 4K4 ( 10.55-12.05 )
Learning Area Factorisation
Learning Objective To understand and use the concept of factorizations.
Learning Outcomes Students will be able to :

i)  find the common factor.

ii) perform factorization correctly.

Activities Discussions , Doing exercise
Moral Value Cooperative
Teaching aid Text book.
Homework Exercise 2.2B & 2.2 C.
Reflection All students are able to understand the concept.
   
Class 5K5 ( 8.15-9.25)

5S2 ( 9.45-10.20 )

5MPV ( 12.05- 12.40 )

Learning Area Graph of Functions
Learning Objective Drawing graph of functions.
Learning Outcomes : Students will be able to :

i) determine the types of graphs.

ii)draw the graph of functions.

Activities Discussions , Doing exercise.
Moral Value Hardwork
Teaching aid Calculator.
Homework Check point 4
Reflection All students are able to understand the concept.

 

Date 28  Jan 2010 ( Thursday )
Class 5K6 ( 8.15-9.25 )
Learning Area Graph of Functions
Learning Objective Drawing a graph of functions.
Learning Outcomes Students will be able to :

i) draw the graph of reciprocal functions.

ii) find the values of x or y from the graph.

Activities Discussions , Doing exercise.
Moral Value Be positive
Teaching aid Calculator.
Homework Check point 8
Reflection All students are able to understand the concept.
   
Class 4K4 ( 10.55 – 11.30  )
Learning Area Factorisation
Learning Objective To understand and use the concept of factorizations.
Learning Outcomes Students will be able to :

i)  find the common factor.

ii) perform factorization correctly.

Activities Discussions , Doing exercise
Moral Value Cooperative
Teaching aid Text book.
Homework Exercise 2.2C
Reflection All students are able to understand the concept.

 

Date 29 Jan 2010 ( Friday )
Class 5S2 (7.05-8.15)

5K6 (8.50-9.25)

5MPV (10.40-11.40)

Learning Area Graph of Functions
Learning Objective Drawing graph of functions(Cubic Function).
Learning Outcomes Students will be able to :

i) determine the types of graphs.

ii)draw the graph of functions.

Activities Discussions , Doing exercise.
Moral Value Hardwork
Teaching aid Calculator.
Homework Check point 8
Reflection All students are able to understand the concept.

RPT Math Form 5

January 15, 2010
Week

No

Learning Objectives

Pupils will be taught to…..

Learning Outcomes 

Pupils will be able to…  

No of Periods  Suggested Teaching & Learning activities/Learning Skills/Values  Points to Note 
Learning Area :  NUMBER BASES — 2 weeks 

First Term 

        
 

       1

4/1-8/1/10

 

1. Understand and use the concept of number in base two, eight and five.

 

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

     a)  two

     b) eight

     c)  five

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

     a)  two

     b) eight

     c) five

(iii) Write a number in base:

       a) two

       b) eight

       c) five

      in expanded notation

  

  

Use models such as a clock face or a counter which uses a particular number base. 

Discuss 

-          Dicuss digits used 

-          Place values 

in the number system with a particular number base. 

  Skill  : Interpretation, observe connection between base two, eight and five.

   Use of  daily life examples

   Values : systematic, careful, patient

  

Emphasis the ways to read numbers in variours bases. 

 Give examples: 

Numbers in base two are also know as binary numbers. 

Expanded notation 

Give examples 

 

2

 

11/1-16/1/10

    

(iv) Convert a number in base: 

      a) two 

      b) eight 

      c) five 

     to a number in base ten and vice versa. 

(v)  Convert a number in a certain base to a number in another base.   

(vi) Perform computations involving : 

      a) addition 

      b) subtration 

     of two numbers in base two 

  

  

Use number base blocks of twos, eights and fives. 

Discuss the special case of converting a number in base two directly to a number in base eight and vice versa. 

   Skill  : Interpretation, converting numbers to base of two, eight, five and then.

   Use of  daily life examples

   Values : systematic, careful, patient

  

Perform repeated division to convert a number in base ten to a number in other bases. 

Give examples. 

Limit conversion of numbers to base two, eight and five only. 

The usage of scientific calculator in performing the computitations. 

Topic 2 : Graphs of Functions II  — 3 weeks      
 

  3

       18/1-22/1/10

 

 

2.1  Understand and use the concept of graphs of functions

 

(i)   Draw the graph of a:

      a)  linear function :

           y = ax + b, where a 

          and b are constant;

      b) quadratic function

          ,  

          where a, b and c are

          constans,

      c)  cubic function :

       ,   

          where a, b, c and d are  

          constants,

     d)   reciprocal function

            , where a is a constants,

(ii)  Find from the graph

       a)  the value of y, given a 

            value of x

       b)  the value(s) of x,

            given a value of y

 

(iii) Identify:

       a) the shape of graph

           given a type of

           function

       b) 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.

 

 

2

1

2

2

 

Explore graphs of functions using graphing calculator or the GSP

Compare the characteristic of graphs of functions with different values of constants. 

Values : Logical thinking

Skills   : seeing connection, using the GSP

Play a game or quiz

 

Questions for 1..2(b) are given in the form of ; a and b are numerical values.

Limit cubic functions.

Refer to CS.

For certain functions and some values of y, there could be no corresponding values of x.

Limit the cubic and quadratic functions.

Refer to CS.

Limit cubic functions.

Refer to CS.

 

4

25/1-29/1/10

 

2.2  Understand and use the concept of the solution of an equation by graphical method.

 

(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.

 

1

1

2

 

Explore using graphing calculator of GST to relate the x-coordinate of a point of intersection of two appropriate graphs to the solution of a given equation. Make generalisation about the point(s) of intersection of the two graphs.

 

Use everyday problems.

Skills : Mental process

 

Use the traditional graph plotting exercise if the graphing calculator or the GSP is unavailable.

Involve everyday problems.

  

5 

1/2-5/2/10 

  

 

2.3 Understand and use the concept of the region representing inequalities in two variables. 

  

(i) Determine whether a given 

    point satisfies 

    a)   or   

         or 

(ii)  Determine the position of a 

      given point relative to the 

      equation 

(iii) Identify the region 

       satisfying  or 

(iv) Shade the regions 

      representing the inequalities 

     a)   or 

     b)   or 

(v) Determine the region which 

     satisfy two or more 

     simultaneous linear 

     inequalities. 

  

2

 

Include situations involving , , ,  or . 

Values: Making conclusion, connection and comparison, careful 

  

Emphasise on the use of dashed and solid line as well as the concept of region. 

             

 

Week

No

Learning Objectives

Pupils will be taught to…..

Learning Outcomes   

Pupils will be able to…  

No of Periods  Suggested Teaching & Learning activities/Learning Skills/Values  Points to Note 
Topic/Learning Area :   

transformations iii    ( 3 weeks ) 

  

        
 

6

 

8/2-12/2/10

3.1     Understanding and use of the concept of combination of two transformations. (i)              determine the image of an object under combination of two isometric transformations. ·         using CD-Rom – interactive activities. 

·         Everyday life example: around the school. 

·         Recall the types of transformations: 

-          translation 

-          rotation 

-          reflection 

-          enlargement 

-          isometric transformation 

  
    (ii)            determine the image of an object under combination of:

  1. two enlargements 

    b.    an enlargement and and an isometric transformation.

 

·         using Geometer’s Sketchpad. 

·         CD-Rom 

·         Give variety of examples to show an enlargement and isometric transformation. 

  
 

7

13/2-21/2/10

  (iii)          Draw the image of an object under combination of two transformations.

(iv)          State the coordinates of the image of a point under combined transformations.

CUTI TAHUN BARU CINA

·         Give examples on the blackboard and students are asked to draw the image under 2 transformations 

·         Tr. will state the coordinates of the image of a point under combined transformations. 

  
8

22/2-26/2/10

  (v)         Determine whether combined transformation AB is equivalent to combined transformation BA. ·         Using Maths exercise books (grids) 

·         Do exercises from the textbooks 

  
(vi)       specify two successive transformations in a combined transformation given the object and the image. ·         Outdoor activity – students are brought to specific site of the school compound and ask to identify the two successive transformations :  pictures should consist of an object and an image.    
9

1/3-5/3/10

  (i)           Specify a transformation which is equivalent to the combination of two isometric transformations.

(ii)         Solve problems involving transformations.

·         Classroom activities – use GSP and CD-ROM (Multimedia Gallery) 

·         To specify isometric transformation 

·         Different examples to be given 

·         Various problem solving questions to be given 

  

- limit to translation, reflation & rotation. 

Topic/Learning Area :   

Matrices ( 4 weeks ) 

        
10

8//3-12/3/10

4.1     Understand and use the concept of matrix. (i)           Form a matrix from given information.

(ii)         Determine:

  1. the number of rows 

    b.          the number of columns

    c.          the order of a matrix

    (iii)       Identify a specific element in a matrix

 

·         Understanding the concept of matrices through daily examples: 

-          price of food on a menu 

-          a contingent of altelitic 

-          seating of students in class 

-          mark sheet of students 

·         Introduce the order (mxn) of a matrix 

·         Class activity – students are requested to identify the students’ seating position in class 

·         Other examples give 

*  m  represents  row 

*  n   represents column 

11

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

4.2     Understand and use the concept of equal matrices. (i)           Determine whether two matrices are equal.

(ii)         Solve problems involving equal matrices.

·         Teacher gives examples of two equal matrices and discusses equal matrices in terms  of the corresponding elements. 

·         Different problems given to  solve equal matrices. 

  
4.3     Perform addition and subtraction on matrices. (i)           Relate to real life situations such as keeping score of medal tally or points in sports.

(ii)         Find the sum or the difference of two matrices.

(iii)       Perform addition and subtraction on a few matrices.

(iv)       Solve matrix equations involving addition and subtraction.

CUTI PERTENGAHAN PENGGAL 1  [36/3-20/3/10]

(WEEK 11)

·         Teacher shows the examples from the textbook to determine how addition or subtraction can be performed on 2 given matrices. 

·         Examples given to find the addition and subtraction of two matrices. 

·         Examples given to solve matrix equations involving additions and subtractions 

·         To include finding values of unknown elements 

·         limit to not more than 3 rows and 3 columns. 
12

22/3-26/3/10

 

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.

·         Teacher shows examples on scalar multiplication of matrix: 

-       give examples of real life situations such as in industrial productions. 

·         examples given on the calculation of matrices involving addition, subtraction, and scalar multiplication. 

·         Examples given on problem solving questions. 

·         To include finding values of unknown elements. 

  
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 involving multiplication  of two matrices.

·         Teacher gives real life situations.   Examples:- 

-          to find the cost of meals in the restaurant 

-          teacher shows how 2 matrices can be multiplied. 

·         Examples given for the product of two matrices. 

·         Examples given on problem solving involving multiplication of 2 matrices. 

  

·         Limit to not more than 3 rows and 3 columns 

·         Limit to 2 unknown elements 

 

13

29/3-2/4/10

 

4.6     Understand and use the concept of identify matrix. (i)           determine whether a given matrix is an identity matrix by multiplying it to another matrix.

(ii)         Write identity matrix of any order.

(iii)       Perform calculation involving identity matrices.

·         Teacher discusses the property of the number as an identity for multiplication of a number. 

·         Teacher introduces identity matrix or unit matrix. 

·         Teacher gives examples of identity matrix of any order. 

·         Teacher discusses the properties: 

-          AI  =  A 

-          IA  =  A 

  

Unit matrix is denoted by I. 

Limit to 3 rows and 3 columns. 

4.7     Understand and use the concept of inverse matrix. (i)        Determine whether a       

            2  X  2   matrix is the

            inverse matrix of

            another   2  X  2     

             matrix.

(iii)       Find the inverse matrix of a  2 X 2  matrix using:

  1. the method of solving simultaneous linear equations 

    b.            a formula

 

·         teacher introduces the concept of inverse matrix and its denotion. 

·         Examples given on problem solving questions involving matrix: 

-          using simultaneous linear equations 

-          using a formula 

  

      -1  

AA      =  I 

 

14

5/4-9/4/10

4.8     Solve simultaneous linear equations by using matrices. (i)           Write simultaneous linear equations in matrix form.

(ii)         Find the matrix  in   using the inverse matrix.

(iii)       solve simultaneous linear equations by the matrix method.

(iv)       Solve problems involving matrices.

·         Teacher shows examples how to write simultaneous linear equations  in matrix form 

·         To solve simultaneous linear equations by using inverse matrix 

·         Project involving matrices using electronic spreadsheet to be given to students. 

*  limit to 2 unknowns. 
Week

No

Learning Objectives

Pupils will be taught to…..

Learning Outcomes   

Pupils will be able to…  

No of Periods  Suggested Teaching & Learning activities/Learning Skills/Values  Points to Note 
Topic/Learning Area : 5. VARIATIONS  

                                           (1 ½ Weeks) 

        
 

15

12/4-16/4/10

 

 5.1 Understand and use the concept 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.

(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 variation for the following cases:

    y   x ;   y  x2 ;  y  x3 ;

    y   x1/2 .

  

  

Discuss the characteristics of the graph of y agains x when y  x. 

Relate mathematical variation to Charles’s Law or the mation of the simple pendulum. 

Discuss the characteristics of the graphs of y against xn

Communicative skills 

Coorperation an d systematic 

  

Y varies directly as x , y x. 

y x n , limit n to 2, 3 and ½  

Y = kx where k is the constant of variation. 

 

 

5.2 Understand and use the concept of inverse variation   

i)                    State the changes in a quantity with respect to changes in another quantity, in everyday life situations involving inverse variation. 

ii)                  Determine form given information whether a quantity vaqries inversely as another quantity. 

iii)                Express an inverse variation in the form of equation involving two variables. 

iv)                Find the value of a variable in an inverse variation when sufficient information is given. 

v)                  Solve problems involving inverse variation for the following cases: 

y  1/x; y 1/x2 

      y 1/x3 ; y 1/x1/2 

  

  

Discuss the the form of the graph and relates it to science, eg. Boyle’s Law. 

For cases y 1/xn , n = 2,3 and ½, discuss the characteristics of the graph of y against 1/xn 

Graph drawing skill 

Be straight and honest. 

  

Y varies inversely as x if and only if xy is a constant. 

y 1/x 

For the cases y 1/xn, limit n to 2,3 and ½ 

If y 1/x, then y = k/x, where k is the constan t of variation. 

Use: 

Y = k/x or 

x1y1=x2 y2 

to get the solution. 

  

 

16

19/4-23/4/10

 

5.3 Understand and use the concept 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 when sufficient information is given. 

(iv)             Solve problems involving joint variation. 

  

Discuss joint variation for the three cases in everyday life situations. 

Relate to science, eg. Ohm’s Law. 

For the cases y xn zn

Y  1/ xn zn and y xn / zn

Limit n to 2,3 and ½. 

 

Week

No

Learning Objectives

Pupils will be taught to…..

Learning Outcomes   

Pupils will be able to…  

No of Periods  Suggested Teaching & Learning activities/Learning Skills/Values  Points to Note 
Topic/Learning Area 6:  Gradient & area under a graph — 3½ weeks          
17

26/4-30/4/10

18

3/5-7/5/10

19

20

21

 

 

22

23

24

 

 6.1 Understand and use the concept of quantity represented by the gradient of a graph (i) State the quantity represented by the gradient of a graph

(ii) Draw the distance-time graph, given:

a)      a table of distance-time values

b)      a relationship between distance and time

(iii) Find and interpret the gradient of a distance-time graph

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

(v) Draw a graph to show the relationship between two variables representing certain measurements and state the meaning of its gradient

PEPERIKSAAN PENGGAL 1

 

CUTI GAWAI/CUTI PENGGAL 1

  

Use examples in various areas such as technology and social science 

   Use of  daily life examples like speed of a car, Formula One Grand Prix, a sprinter

   Compare and differentiate between distance-time graph and speed-time graph

 Use real life situations such as traveling from one place to another by train or by bus.

Use examples in social science and economy, for example, the increase in population in certain years

Limit to graph of a straight line. 

The gradient of a graph represents the rate of change of a quantity on the vertical axis with respect to the change of another quantity on the horizontal axis. The rate of change may have a specific name for example ‘speed’ for a distance-time graph. 

Emphasise that: 

Gradient = change of distance 

                           Time 

               = speed 

Include graphs which consists of a combination of a few straight lines. 

For example, 

Distance, s

 

Time, t

 

 

25-26

21/6-2/7/10

 

 

 

 

 

6.2 Understand the concept of quantity

represented by the area under a graph

(i)  State the quantity represented by the area under a graph

(ii) Find the area under a graph

(iii) Determine the distance by finding the area under the following of speed-time graphs:

a. v=k (uniform speed)

b. v=kt

c. v=kt + h

d. a combination of the above

(iv) Solve problems involving gradient and area under a graph.

 

  

Discuss that in certain cases, the area under a graph may not represent any meaningful quantity. 

For example: 

The area under the distance-time graph. 

Discuss the formula for finding the area under a graph involving: 

·          A straight line which is parallel to the x-axis 

·          A straight lien in the form of y=kx+ h 

A combination of the above.

Include speed-time and acceleration-time graphs. 

Limit to graph of a straight line or a combination of a few straight lines. 

V represents speed, t represents time, h and k are constants. 

For example: 

Speed, v
      time, t

 

Topic/Learning Area  :  PROBABALITY II 

Second Term                                  —  2 weeks    

        
 

 

27

5/7-9/7/10

 

7.1  Understand and use the concept of probability of an event.

(i)  Determine the sample space of an experiment with equally likely outcomes.

(ii) Determine the probability of an event with equiprobable sample space.

(iii)Solve problems involving probability of an event.

  

Discuss equiprobable sample space through concrete activities and begin with simple cases such as tossing a fair coin. 

Use tree diagrams to obtain sample

 space for tossing a fair coin or

 tossing or tossing a fair dice

 activities. The Graphing calculator may also be used to simulate these activities.

Discuss events that produce

P(A) = 1 and  P(A) = 0

Limit to sample space with equally likely outcomes. 

A sample space in which each outcomes is equally likely is called equiprobable sample space. 

The probability of an outcome A, with equiprobable sample space 

S, is P(A) = 

Use tree diagram where appropriate. 

Include everyday problems and making predictions. 

28

12/7-16/7/10

7.2  Understand and used the concept of probability of the complement of an event. (i)   State the complement of an event in : 

      (a)  words 

      (b) set notations  

(ii)  Find the probability of the complement of an event. 

  

  

Include events in real life situations such as winning or losing a game and passing or failing an exam. 

The complement of an event A is the set of all outcomes in the sample space that are not included in the outcomes of event A. 
28 7.3  Understand use the concept of probability of combined event. (i)   List the outcomes for events: 

      (a)  A or B as elements of set      

            A È B 

      (b) A and B as elements of    

            set A Ç B 

(ii)  Find the probability by    

       listing the outcomes of the   

       combined events : 

       (a)  A or B 

       (b)  A and B 

(iii) Solve problems involving  

       probability of combined  

       events. 

Use real life situations to show the relationship between 

·         A or B and A È B 

·         A and B and A Ç B. 

An example of a situation is being chosen to be a member of an exclusive club with restricted conditions. 

Use tree diagram and coordinate planes to find all the outcomes of combined events. 

Use two-way classification tables of events from newspaper articles or statistical data to find probability of combined events. Ask students to create tree diagrams from these tables. Example of a two-way classification table : 

   Means of going to work 
Officers  Car  Bus  Others 
Men  56  25  83 
Women  50  42  37 

Discuss : 

·         situations where decisions have to be made on probability, for example in business, such as determining the value for aspecific insurance policy and time the slot for TV advertisements 

·         the statement “probability is the underlying language of statistics” 

  

Emphasise that : 

·         knowledge about probability is useful in making decisions. 

·         prediction based on probability is not definite or absolute. 

  

  

  

  

Topic/Learning Area :  BEARING — 1 week          
 

29

19/7-23/7/10

8.1. Understand and use the concept of bearing. (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 point A from point B based on given information.

(ii)               Solve problems involving bearing.

  

  

Carry out the activities or games involving finding directions using a compass such as treasure hunt or scravenger hubt. It can also be about locating several points on a map, finding the position of students in class. 

Discuss the use of bearing in  real life situations. For example, a map reading and navigation. 

  

Compass angle and bearing are written in three digit form, from 0000 to 3600. They are measured in a clockwise direction from north. Due north is considered as bearing 0000. For cases involving degrees up to one decimal point. 

 

Week

No

Learning Objectives

Pupils will be taught to…..

Learning Outcomes   

Pupils will be able to…  

No of Periods  Suggested Teaching & Learning activities/Learning Skills/Values  Points to Note 
Topic 9 

Learning Area:  EARTH AS SPHERE  ( 3 weeks ) 

        
 

30

26/7-30/7/10

 

9.1  Understand and use the 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

  

  

Model such as globes should be used.

Introduce the meridian through Greenwich in England as the Greenwich Meridian with longitude 0°

Discuss that:

  • All points on a meridian have the same longitude 

    ·         There are two meridians on a great circle through both poles.

    ·         Meridians with longitude x°E(or W) and (180°- x°)W(or E) form a great circle through both poles.

 

  

Emphasise that longitude 180°E and longitue 180°W refer to the same meridian. 

Express the difference between two longitudes with an angle in the range of 0° ≤ x ≤ 180° 

31

2/8-6/8/10

 

9.2 Understand and use the 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. 

(iv) Find the difference between two latitudes. 

  

  

Discuss that all the points on a paralell of latitude have the same latitude. 

  

Emphasise that 

o   the latitude of the equator is 0° 

o   latitude ranges from 0° to 90°N ( or S ) 

Involve actual places on the earth. 

Express the diffrence between two latitudes with an angle in the range of 0° ≤ x ≤ 180°. 

32

9/8-13/8/10

9.3 Understand the concept of locations of a place. Use a globe or a map to find locations of cities around the world. 

Use a globe or map to name a place given its location. 

  

  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. 

iv.           

A place on the surface of the earth is represented by a point. 

The, location of a place A at latitude x°N and longitude y°E is written ,as A(x°N, y°E). 

 

Week

No

Learning Objectives

Pupils will be taught to…..

Learning Outcomes   

Pupils will be able to…  

No of Periods  Suggested Teaching & Learning activities/Learning Skills/Values 
Topic 10  

Learning Area:  PLANS AND ELEVATIONS   

2  weeks 

     
 

33

16/8-20/8/10

 

 

10.1 Understand and use the concept of orthogonal projection.

 

        i.            Identify orthogonal projections.

      ii.            Draw orthogonal projections, given an object and a plane.

    iii.            Determine the difference between an object and its orthogonal projections with respect to edges and angles.

 

  

  

Use models, blocks or plan and elevation kit.

 

34

 

23/8-27/8/10

 

10.2 Understand and use the concept of plan and elevation.

  

        i.            Draw the plan of a solid object. 

      ii.            Draw 

-          the front elevation 

-          side elevation 

of a solid object 

    iii.            Draw the plan of a  

      solid object. 

  iv.         Draw 

-          the front elevation 

-          side elevation 

                of a solid object 

CUTI PERTENGAHAN PENGGAL 2

 

[4/9-12/9/2010]

 

 

ULANGKAJI

[                  ]

 

 

 

PEPERIKSAAN PERCUBAAN SPM

[                           ]

 

 

 

SPM

  

  

Carry out activities in groups where students combine two or more different shapes of simple solid objects into interesting models and draw plans and elevation for thes models. 

Use models to show that it is important to have a plan and at least two side elevation to construct a solid object. 

Carry out group project: 

Draw plan and elevations of buildings or structures, for example students’ or teacher’s dream home and construct a scale model based on the drawings. Involve real life situations such as in building prototypes and using actual home plans. 

RPT Math Form 4

January 15, 2010
Week/

Date

Learning

Area

Learning Objectives Learning Outcomes CCTS Remarks
 

1

4/1-8/1/10

Chapter 1: Standard Form 1.1   Understand and use the concept of significant figure Students will be able to:

  1. round off positive numbers to a given number of significant figures when the numbers are:

a)       greater than 1

b)      less than 1

  1. perform operations of addition, subtraction, multiplication and division, involving a few numbers and state the answer in specific significant figures

iii.  solve problems involving significant figure

-    contextual

-    working out mentally

-    finding all possible solutions

-    identifying relations

 
 

2

 

11/1-15/1/10

  1.2   Understand

and use the concept of standard form to solve problem

  1. state positive numbers in standard form when the numbers are:

a)       greater than or equal to 10

b)      less than 1

  1. convert numbers in standard form to single numbers
  2. perform operations of addition, subtraction, multiplication and division, involving any two numbers and state the answers in standard form
  3. solve problems involving numbers in standard form

 

-      working out mentally

-      identifying relations

 
3

 

18/1-22/1/10

 

 

Chapter 2: Quadratic Expressions and Equations 2.1  Understand  the concept of Quadratic Expression

2.2 Factorization quadratic expression

  i.      Identify quadratic expressions

 ii.      Form quadratic expressions by multiplying any two linear expressions

  1. Form quadratic expressions based on specific situations

 

i  Factorise quadratic expressions of the form

   ax2+bx+c=0, where b= 0 or c= 0

ii Factorise quadratic expressions of the form px2q, p

   and q are the perfect squares

-      classifying

-      arranging sequentially

-      translating

-       
 4

25/1/-29/1/10

   

2.3 Understand the concept of Quadratic Equation

 

iii  Factorise quadratic expressions of the form ax2+ bx +

    c, where a, b and c not equal to zero

iv Factorise quadratic expressions containing coefficients

    with common factors

  1. Identify quadratic equations with one unknown
  2. Write quadratic equations in general form i.e.           

                 ax2 + bx + c = 0

  1. Form quadratic equations based on specific situations
-      arranging sequentially

-      arranging sequentially

-      classifying

-      translating

-       
5

 

1/2-5/2/10

  2.4 Understand the concept of Roots of quadratic equations
  1. determine whether a given value is a root of a specific quadratic equation
  2. determine the solutions for quadratic equations by:

a)       trial and error method

b)      factorization

iii.  solve problems involving quadratic equation

 

-      comparing & differentiating

finding all possible solutions

 
         6

 

8/2-12/2/10

Chapter 3: Sets 3.1 Understand the concept of Set  

  1. sort given objects into groups
  2. define sets by

a) descriptions

b)using set  notation

iii  identify whether a given object is an element of a set

     and use the symbol or

iv. represent sets by using Venn diagrams

v.  list the elements and state the number of elements of a set

vi.  determine whether a set is an empty set

vii. determine whether two sets are equal

-      making generalizations

-      working out mentally

classifying

-comparing and differentiating

-       
7

14/2-21/10

     

             CUTI TAHUN BARU CINA

   
8

 

22/2-26/2/10 

  3.2 Understand and use the concept of Subset, universal set and the complement of a set
  1. determine whether a given set is a subset of a specific set and use the symbol  or .
  2. represent subset by using Venn diagram
  3. list the subsets for a specific set
  4. illustrate the relationship between set and universal set using Venn diagram
  5. determine the complement of a given set
  6. determine the relationship between set, subset,

 universal set and the complement of  a set

-      classifying

-      finding all possible solutions

-      drawing diagrams

-      identifying relations

-      interpreting

 
9

10

 

1/3-12/3/10

  3.3 Perform Operations on set
  1. determine the intersection of

a)       two sets

b)      three sets

and use the symbol

  1. represent the intersection of sets using Venn diagram
  2. state the relationship between

a)        and A

b)       and B

  1. determine the complement of the intersection of sets
  2. solve problems involving the intersection of sets.
  3. determine the union of

a)       two sets

b)      three sets

and use the symbol

vii.  represent the union of sets using Venn diagram

viii.state the relationship between

a)        and A

b)       and B

  1. determine the complement of the union of sets
  2. solve problems involving the union of sets
  3. determine the outcome of combined operations on sets

xii. solve problems involving combined operations on sets

CUTI PERTENGAHAN PENGGAL 1 [ 13-21  MAC 2010]

                                                                  

-      comparing and differentiating

-      drawing diagrams

-      identifying relations

-      interpreting

-      translating

-      making generalization

-       
12

22/3-26/3/10

Chapter 4: Mathematical Reasoning 4.1 Understand the concept of  Statement   i.      determine whether a given sentence is a statement

 ii.      determine whether a given statement is true or false

  1. construct true or false statement using given numbers and mathematical symbols

 

-      Classifying

-      Working out mentally

-      Translating

-      Interpreting

-       
12   4.2 Understand the concept of Quantifiers “all” and “some”   i.      construct statements using quantifier

a)       all

b)      some

 ii.      determine whether a statement that contains the quantifier “all” is true or false

  1. determine whether a statement can be generalized to cover all cases by using the quantifier “all”
  2. construct a true statement using the quantifier “all” or “some” given an object and a property”
-      Working out mentally

-      Identifying relations

-       
13

 

29/3-2/4/10

  4.3 Perform Operations Involving the words “not” or “ no” statements   i.      change the truth value of a given statement by placing the word “not” into the original statement

 ii.      identify two statements from a compound statement that contains the word “and”

  1. form a compound statement by combining two given statements using the word “and”
  2. identify two statement from a compound statement that contains the word “or”

 v.      form a compound statement by combining two given statements using the word “or”

  1. determine the truth value of a compound statement which is the combination of two statements with the word “and”
  2. determine the truth value of a compound statement which is the combination of two statements with the word “or”
-      working out mentally

-      classifying

-       
13   4.4 Understand the concept  of Implication   i.      identify the antecedent and consequent of an implication “if p, then q

 ii.      write two implications from a compound statement containing “if and only if”

  1. construct mathematical statements in the form of implication:

a)       If p, then q

b)      p if and only if q

  1. determine the converse of a given implication

 v.      determine whether the converse of an implication is true or false

-      working out mentally

-      classifying

-       
14

5/4-9/4/10

  4.5 Understand the concept of  Argument
  1. identify the premise and conclusion of a given simple argument
  2. make a conclusion based on two given premises for:

a)       Argument Form I

b)      Argument Form II

c)       Argument Form III

  1. complete an argument given a premise and the conclusion
-      Classifying

-      Making inferences

-       
14   4.6 Understand and use the concept of  Deduction and Induction
  1. determine whether a conclusion is made through:

a)       reasoning by deduction

b)      reasoning by induction

  1. make a conclusion for a specific case based on a given general statement, by deduction
  2. make a generalization based on the pattern of a numerical sequence, by induction
  3. use deduction and induction in problem solving

 

-      classifying

-      making inferences

-      making generalization

-      looking for patterns

-      making analogy

-       
15

 

12/4-16/4/10

Chapter 5: The Straight Line 5.l Understant the concept of gradient of a straight line i.  determine the vertical and horizontal distances between two given points on a straight line

ii. determine the ratio of vertical distance to horizontal distance

-      Interpreting -       
        

 

          15

  5.2 Understant the concept of gradient of a straight line in Cartesian coordinates
  1. derive the formula for the gradient of a straight line
  2. calculate the gradient of a straight line passing through two points
  3. determine the relationship between the value of the gradient and the:

a)       steepness

b)      direction of inclination

of a straight line

-      interpreting

-      classifying

-       
16

19/4-23/4/10

  5.3 Understand the concept of intercept
  1. determine the x-intercept and the y-intercept of a straight line
  2. derive the formula for the gradient of a straight line in terms of the x-intercept and the y-intercept
  3. perform calculations involving gradient x-intercept and y-intercept
-      interpreting -       
17

 

26/4-30/4/10

  5.4Understand and use the concept of Equation of a straight line
  1. draw the graph given an equation of the form y = mx + c
  2. determine whether a given point lies on a specific straight line
  3. write the equation of the straight line given the gradient and -intercept
  4. determine the gradient and y-intercept of the straight line which equation is of the form:

a) y = mx + c

b) ax + by = c

  1. find the equation of the straight line which:

a)       is parallel to the x-axis

b)      is parallel to the y-axis

c)       passes through a given point and has a specific gradient

d)      passes through two given points

  1. find the point of the intersection of two straight lines by:

a)       drawing the two straight lines

e)       solving simultaneous equations

-      drawing diagrams

-      comparing and differentiating

-      working out mentally

-       
18

 

3/5-7/5/09

19

10/5-114/5/10

  5.5 Understand and use the concept of Parallel line
  1. verify that two parallel lines have the same gradient and vice versa
  2. determine from the given equations whether two straight lines are parallel
  3. find the equation of the straight line which passes through a given point and is parallel to another straight line
  4. solve problems involving equations of straight lines

 

ULANGKAJI

 

PEPERIKSAAN PENGGAL 1          [            ]

(WEEK 20-21)

 

CUTI GAWAI–     [     31/5-6/6       ]

(WEEK 22)

CUTI  PERTENGAHAN TAHUN [7-20 JUN20 10]

(WEEK 23-24)

 

-      comparing and differentiating  
25

21/6-25/6/10

Chapter 6: Statistics 6.1 Understand the concept of class Interval
  1. complete the class interval for a set of data given one of the class intervals
  2. determine:

a)       the upper limit an lower limit

b)      the upper boundary and lower boundary

of a class in a group data

  1. calculate the size of a class interval
-      working out mentally

-      classifying

-      making inferences

-       
     
  1. determine the class interval, given a set of data and the numbers of classes
  2. determine a suitable class interval for a given set of data
  3. construct a frequency table for given set of data

 

   
25   6.2Understand  and use the concept of  Mode and mean of grouped data i. determine the modal class from the frequency table of grouped data

  1. calculate the midpoint of a class
  2. verify the formula for the mean of grouped data
  3. calculate the mean from the frequency table of grouped data
  4. discuss the effect of the size of class interval on the accuracy of the mean for a specific set of grouped data
-      Interpreting

-      Working out mentally

-      Making inferences

-      Identifying relations

-       
25   6.3 represent and interpret data in histograms with class intervals
  1. draw a histogram based on the frequency table of a grouped data
  2. interpret information from given histogram
  3. solve problems involving histograms
-      drawing diagrams

-      interpreting

-       
26

28/6-2/7/10

  6.4Represent and interpret data in  Frequency polygons to solve problem
  1. draw the frequency polygon based on:

a)       a histogram

b)      a frequency table

  1. interpret information from a given frequency polygon
  2. solve problems involving frequency polygon
-      drawing diagrams

-      interpreting

-       
26   6.5 Understand the concept of Cumulative frequency
  1. construct the cumulative frequency table for:

a)       ungrouped data

b)      grouped data

  1. draw the ogive for:

a)       ungrouped data

b)      grouped data

-      working out mentally

-      drawing diagrams

-       
27

 

5/7-9/7/10

  6.6Understand and use the concept of  Measures of dispersion
  1. determine the range of a set data
  2. determine:

a)       the median

b)      the first quartile

c)       the third quartile

d)      the interquartile range

from the ogive

  1. interpret information from an ogive
  2. solve problems involving data representations and measures of dispersion
-      interpreting

-      identifying relations

-       
27 Chapter 7: Probability I 7.1Understand the concept of  Sample space
  1. determine whether an outcome is a possible outcome of an experiment

ii. list all the possible outcomes of an experiment:

a)       from activities

b)      by reasoning

iii determine the sample space of an experiment

iv write the sample space by using set notations

-      Finding all possible solutions -       
        28

    12/7-    16/7/10

  7.2 Understand the concept of Events
  1. identify the elements of a sample space which satisfy given conditions

ii. list all the elements of a sample which satisfy certain conditions using set notations

iii determine whether an event is possible for a sample space

-      Finding all possible solutions -       
28   7.3Understand and use the concept of  Probability of an event
  1. find the ratio of the number of times an event occurs to the number of trials

ii. find the probability of an event from a big enough of trials

iii calculate the expected number of times an event will occur, given the probability of the use event and number of trials

  1. solve problems involving probability
  2. predict the occurrence of an outcome and make a decision based on known information

v.  

-      identifying relations -       
29

 

19/7-23/7/10

Chapter 8:

Circles III

8.1 Understand and use the concept of Tangents of a circle
  1. identify tangents to a circle

ii. make inference that the tangent to a circle is a straight line perpendicular to the radius that passes through the contact point

iii construct the tangent to a circle passing through a point:

a)       on the circumference of the circle

b)      outside the circle

iv. determine the properties related to two tangents to a circle from a given point outside the circle

v. solve problems involving tangents to a circle

- Working out mentally

- Drawing diagrams

- Identifying relations

-  
        29   8.2 Understand and use the properties of Angle between tangent  and chord
  1. identify the angle in the alternate segment which is subtended by the chord through the contact point of the tangent
  2. verify the relationship between the angle formed by the tangent and the chord with the angle in the alternate segment which is subtended by the chord
  3. perform calculations involving the angle in alternate segment
  4. solve problems involving tangent to a circle and angle in alternate segment

 

-      identifying relations -       
30

 

26/7-30/7/10

  8.3 Understand and use the properties of common tangents to solve problem
  1. determine the number of common tangents which can be drawn to two circles which:

a)       intersect at two points

b)      intersect only at one point

c)       do not intersect

  1. determine the properties related to the common tangent to two circles which:

a)       intersect at two points

b)      intersect only at one point

c)       do not intersect

  1. solve problems involving common tangents to two circles
  2. solve problems involving tangents and common tangent

 

-      comparing and differentiating

-      Finding all possible solutions

-      Identifying relations

-       
31

 

2/8-6/8/10

Chapter 9:

Trigonometry II

9.1 Values of sin θ, cos θ  and tan θ .
  1. identify the quadrants and angles in the unit circle
  2. determine:

a)       the value of y-coordinate

b)      the value of x-coordinate

c)       the ratio of y-coordinate to x-coordinate

of several points on the circumference of the unit circle

  1. verify that, for an angle in quadrant I of the unit circle:

a)      

b)     

-    working out mentally

-    interpreting

-    identifying relations

-     
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

32

 

3/8-7/8/09

    c)      

  1. determine the value of:

a)       sine

b)      cosine

c)       tangent

of an angle in quadrant I of the unit circle

  1. determine the values of:

a)       sin θ

b)      cos θ

c)       tan θ

for

  1. determine whether the values of:

a)       sine

b)      cosine

c)       tangent

of an angle in a specific quadrant is positive or negative

  1. determine the values of sine, cosine and tangent for special angles
  2. determine the values of the angles in quadrant I which correspond to  the values of the angles in other quadrants

 

  1. State the relationships between the values of:

a)       sine

b)      cosine, and

c)       tangent

of angles in quadrant II, III and IV with their respective values of the corresponding angle in quadrant I

  1. Find the values of sine, cosine and tangent of the angles between 90º and 360º
  2. Find the angles between 0º and 360º, given the values of sine, cosine and tangent
  3. Solve problems involving sine, cosine and tangent

 

   
33

16/8-20/8/10

  9.2Draw and  use  Graphs of sine, cosine and tangent
  1. draw the graphs of sine, cosine and tangent for angles between 0º and 360º
  2. compare the graphs of sine, cosine and tangent for angles between 0º and 360º
  3. solve problems involving graphs of sine, cosine and tangent
-       drawing diagrams

-       comparing and differentiating

-       interpreting

-        
34

23/8-27/8/10

35

36

Chapter 10: Angles of Elevation and Depression 10.1Understand and use the concept of  Angle of elevation and angle of depression
  1. identify:

a)       the horizontal line

b)      the angle of elevation

c)       the angle of depression

  1. represent a particular situation involving

a)       the angle of elevation

b)      the angle of depression, using diagrams

  1. solve problems involving the angle of elevation and the angle of depression

 

second mid semester Test

CUTI PERTENGAHAN PENGGAL 2 [24-30 OGOS]

-       working out mentally

-       drawing diagrams

-       identifying relations

 
37

13/9-17/9/10

Chapter 11: Lines and Planes in 3-dimensions 11.1Understand and use the concept of  Angle between lines and planes
  1. identify planes
  2. identify horizontal planes, vertical planes and inclined planes
  3. sketch a three dimensional shape and identify the specific planes
  4. identify
  5. identify normals to a given plane
  6. determine the orthogonal projection of a line on a plane
  7. draw and name the orthogonal projection of line on plane
  8. determine the angle between a line and a plane

solve problems involving the angle between a line and a plane

-    Comparing and differentiating

-    Working out mentally

-    Identifying relations

-     
38,39

 

20/9-1/10/10

  11.2Understand and the concept of  Angle between two planes
  1. identify the line of intersection between two planes
  2. draw a line on each plane which is perpendicular to the line of intersection of the two planes at a point on the line of intersection
  3. determine the angle between two planes on a model and a given diagram

 

  1. solve problems involving lines and planes in 3-dimensional shapes
-    working out mentally

-    drawing diagrams

-    identifying relations

-     
40,41,42

4/10- 22/10/10

    ULANGKAJI

 

 

-      -    Revision
      PEPERIKSAAN PENGGAL II [                            ] -       

RPH WEEK 1-2

January 15, 2010
GAN TECK JEEN

RPH 2010 : WEEK 1 ( 4 Jan – 10 Jan )

Date 4 Jan 2010 ( Monday )
Class 4K4
Time 7.05 – 8.15
Activity Orientation
   
Class 5MPV ( 10.20-11.30)

5K5( 12.05-12.40 )

Learning Area Number Bases
Learning Objective To understand and use the concept of number in base 10
Learning Outcomes : Students will be able to :

i) read the numbers in  base 10 correctly.

ii) determine the place value of the numbers.

Activities Discussions , Doing exercise.
Moral Value Be positive
Teaching aid Calculator.
Homework Check point 1
Reflection All students are able to understand the concept of numbers in base 10.

 

Date 5  Jan 2010 ( Tuesday )
Class 5K6 ( 7.05 – 8.15 )

5S2( 10.55 – 12.05 )

Learning Area Number Bases
Learning Objective To understand and use the concept of number in base 10
Learning Outcomes Students will be able to :

i) read the numbers in  base 10 correctly.

ii) determine the place value of the numbers.

Activities Discussions , Doing exercise.
Moral Value Be positive
Teaching aid Calculator.
Homework Check point 1
Reflection All students are able to understand the concept of numbers in base 10.

 

Date 6  Jan 2010 ( Wednesday )
Class 5K5 ( 8.15 – 9.25 )

5S2( 9.45 – 10.20 )

5MPV (12.05 – 12.40 )

Learning Area Number Bases
Learning Objective To understand and use the concept of number in base 2
Learning Outcomes Students will be able to :

i) read the numbers in  base 2 correctly.

ii) determine the place value of the numbers.

Activities Discussions , Doing exercise.
Moral Value Be positive
Teaching aid Calculator.
Homework Check point 2
Reflection All students are able to understand the concept of numbers in base 2.
   
Class 4K4 (10.55 – 12.05)
Learning Area Standard Form
Learning Objective To understand and use the concept of significant figures and number of decimal places.
Learning Outcomes : Students will be able to :

i)  state the number of significant figures correctly.

ii) state the number decimal places correctly.

Activities Discussions , Doing exercise
Moral Value Cooperative
Teaching aid Text book.
Homework Exercise 1.1 A.
Reflection All students are able to understand the concept.

 

Date 7  Jan 2010 ( Thursday )
Class 5K6 ( 8.15-9.25 )
Learning Area Number Bases
Learning Objective To understand and use the concept of number in base 2.
Learning Outcomes Students will be able to :

i) read the numbers in  base  2 correctly.

ii)change numbers into base 10.

Activities Discussions , Doing exercise.
Moral Value Be positive
Teaching aid Calculator.
Homework Check point 4 a,b,c.
Reflection All students are able to understand the concept of numbers in base 2.
   
Class 4K4 ( 10.55-11.30 )
Learning Area Standard Form
Learning Objective To understand and use the concept of rounding off numbers.
Learning Outcomes : Students will be able to :

i) round off numbers correctly

Activities Discussions , Doing exercise
Moral Value Cooperative
Teaching aid Text book.
Homework Exercise 1.1 B.
Reflection All students are able to understand the concept.

 

Date 8 Jan 2010 ( Friday )
Class 5S2 ( 7.05-8.15 )

5K6 ( 8.50 – 9.25 )

5MPV(10.40-11.40)

Learning Area Number Bases
Learning Objective To understand and use the concept of number in base 8and base 5.
Learning Outcomes Students will be able to :

i) read the numbers in  base 8 and 5 correctly.

ii)change numbers into base 10.

Activities Discussions .
Moral Value Be positive
Teaching aid Calculator.
Homework Check point 2,3,4.
Reflection All students are able to understand the concept of numbers in base 8 and base 5.

 

GAN TECK JEEN

RPH 2009 : WEEK 2 ( 11 Jan – 17 Jan )

Date 11 Jan 2010 ( Monday )
Class 4K4
Time 7.05-8.15
Learning Area Standard Form.
Learning Objective To understand and use the concept of rounding off numbers.
Learning Outcomes Students will be able to :

i)  state the number of significant figures correctly.

ii) state the number decimal places correctly.

iii) round off numbers correctly

Activities Discussions , Doing exercise
Moral Value Cooperative
Teaching aid Text book.
Homework Exercise 1.1 B.
Reflection All students are able to understand the concept.
   
Class 5MPV ( 10.20-11.30)

5K5( 12.05-12.40 )

Learning Area Number Bases
Learning Objective Converting numbers in base 10 into base 8
Learning Outcomes : Students will be able to :

i) read the numbers in  base 10 and 8 correctly.

ii) convert numbers in base 10 into base 8.

Activities Discussions , Doing exercise.
Moral Value Be positive
Teaching aid Calculator.
Homework Check point 5
Reflection All students are able to understand the concept of numbers in base 10 and base 8.

 

Date 12 Jan 2010 ( Tuesday )
Class 5K6 ( 7.05 – 8.15 ) – PERHIMPUNAN T.5

5S2( 9.45 – 10.55 )

Learning Area Number Bases
Learning Objective Converting numbers in base 10 into base 5
Learning Outcomes Students will be able to :

i) read the numbers in  base 5 correctly.

ii) change number from base 10 to base 5.

Activities Discussions , Doing exercise
Moral Value Cooperative
Teaching aid Coloured chalk, calculator
Homework Check point 5
Reflection All students are able to understand the concept of numbers in base 5.

 

Date 13 Jan 2010 ( Wednesday )
Class 4K4 ( 10.55-12.05 )
Learning Area Computations involving a few numbers.
Learning Objective To understand and use the concept of significant figures and rounding off numbers
Learning Outcomes Students will be able to :

i)  state the number of significant figures correctly.

ii) rounding off numbers correctly.

Activities Discussions , Doing exercise
Moral Value Cooperative
Teaching aid Text book.
Homework Exercise 1.1 B.
Reflection All students are able to understand the concept.
   
Class 5K6 ( 8.15- 9.25)

5S2 ( 9.45- 10.20 )

5MPV ( 12.05 – 12.40 )

Learning Area Number Bases
Learning Objective To understand and use the concept of converting numbers from one base to another base.
Learning Outcomes : Students will be able to :

i) read the numbers in  base  2, 5 and 8 correctly.

ii)change numbers from one base to another base.

Activities Discussions , Doing exercise.
Moral Value Be positive
Teaching aid Calculator.
Homework Check point 6,7.
Reflection All students are able to understand the concept of changing bases.

 

Date 14  Jan 2010 ( Thursday )
Class 5K6 ( 8.15-9.25 )
Learning Area Number Bases
Learning Objective Converting number from one base to another base.
Learning Outcomes Students will be able to :

i) read the numbers in  base 8, 5 and 2 correctly.

ii)change number from base 8, 5 and 2 into base 10 and vice versa.

Activities Discussions , Doing exercise.
Moral Value Be positive
Teaching aid Calculator.
Homework Check point 6.7
Reflection All students are able to understand the concept of numbers in base 8, 5 and base 2.
   
Class 4K4 ( 10.55-11.30 )
Learning Area Standard Form.
Learning Objective To understand and use the concept of standard form.
Learning Outcomes : Students will be able to :

i)  perform calculation involving a few operations.

ii) give the answer in standard form.

Activities Discussions , Doing exercise
Moral Value Cooperative
Teaching aid Text book.
Homework Exercise 1.2 B.
Reflection All students are able to understand the concept.

 

Date 1 5 Jan 2010 ( Friday )
Class 5S2 ( 7.05-8.15 )

5K6 ( 8.50 – 9.25 )

5MPV(10.40-11.40)

Learning Area Number Bases
Learning Objective Addition and Subtraction of binary numbers
Learning Outcomes Students will be able to :

i) read the numbers in  base 2 correctly.

ii) perform addition and subtraction of binary numbers.

Activities Discussions , Doing exercise.
Moral Value Be positive
Teaching aid Calculator.
Homework Check point 8
Reflection All students are able to understand the concept.

Lesson Plan 1/9/2008 – 19/9/2008

September 9, 2008

My Lesson Plan Week 32 , 33 & 34

 

WEEK 32

Date : 1/9/2008

 CUTI UMUM ( HARI KEBANGSAAN)

 

 

Date : 2/9/2008

Class : 5S1 (7.05 – 8.05 ), 5K3(9.25 – 9.55)

Learning Area : Simultaneous linear equations ( Revision )

Learning Objective : Solving Simultaneous linear equation

Learning Outcomes : Students will be able to

                                    i)  perform calculation by using several methods.

                                    ii) solve simultaneous linear equation

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Homework : Past year questions

Reflection : Students are able to understand the concept.

 

 

 

 

Date : 3/9/2008

Class : 5K3 ( 7.05-8.05), 5K8 (8.05 – 9.05)

Learning Area : Fraction ( Revision )

Learning Objective : Solving problems

Learning Outcomes : Students will be able to

                                    i)  perform calculation involving fractions.

                                    ii) solve problems involving algebraic.

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Homework : Past year questions

Reflection : Students are able to understand the concept.

 

 

 

Date : 4/9/ 2008

Class : 5K3 ( 7.05-8.05), 5K8 (8.05 – 9.05)

Learning Area : Sets ( Revision )

Learning Objective : Problems solving

Learning Outcomes : Students will be able to

                                    i)  list the elements of a set.

                                    ii) solve problems involving sets.

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Teaching aid : -

Homework : past year questions

Reflection : Students are able to understand the concept.

 

 

 

 

Date : 5/9/ 2008

Class : 5S1 (7.05 – 7.40 ) , 5K8 (9.40 – 10.40 )

Learning Area : Transformations ( Revision )

Learning Objective : Solving problems

Learning Outcomes : Students will be able to

                                    i)  determine single transformation.

                                    ii) solve problems involving combined transformations.

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Teaching aid : -

Homework : Past year questions

Reflection : Students are able to understand the concept.

 

 

 

Class : 4S4

Time : 8.15 – 9.25

Learning Area : Angles of elevation and depression

Learning Objective : Problems solving ( Discussion )

Learning Outcomes : Students will be able to

                                    i)  sketch a diagram

                                    ii) solve problems involving angle of elevation     

                                        and depression.

Activities :  Discussion

                 Doing exercise.

Moral Value : Hardworking.

Teaching aid : -

Homework : Assessment corner

Reflection : Students are able to understand the concept.

 

 

 

Class : 4S4

Time : 10.55 -11.55

Learning Area : Angles of elevation and depression

Learning Objective : Problems solving

Learning Outcomes : Students will be able to

                                    i)  sketch a diagram

                                    ii) solve problems involving angle of elevation and depression.

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Teaching aid : -

Homework : Assessment corner.

Reflection : Students are able to understand the concept. 

 

 

 WEEK 33

Date : 8/9/2008

Class : 5K8 (7.05 – 8.05 ), 5S1(10.25 – 11.25)

Learning Area : Perimeter and Area ( Revision )

Learning Objective : Solving Problems

Learning Outcomes : Students will be able to

            i) perform multiplication of perimeter and area of a solid.

            ii) solve problems given

Activities : Discussion

                  Doing exercise.

Moral Value : Hardworking.

Homework : Past year questions

Reflection : Students are able to understand the concept.

 

Class : 4S4

Time : 8.05 – 9.05

Learning Area : Angles of elevation and depression

Learning Objective : Problems solving

Learning Outcomes : Students will be able to

            i) sketch a diagram

            ii) solve problems involving the angles of elevation and

                depression.

Activities : Discussion

                  Doing exercise.

Moral Value : Hardworking.

Teaching aid : -

Homework : Past year questions

Reflection : Students are able to understand the concept.

 

 

 

Date : 9/9/2008

Class : 5S1 (7.05 – 8.05 ), 5K3(9.25 – 9.55)

Learning Area : Graph of Functions ( Revision )

Learning Objective : Solving problems

Learning Outcomes : Students will be able to

                                    i)  draw the graph of functions.

                                    ii) solve problems involving graph.

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Homework : Past year questions

Reflection : Students are able to understand the concept.

 

 

Date : 10/9/2008

Class : 5K3 ( 7.05-8.05), 5K8 (8.05 – 9.05)

Learning Area : Graph of Functions ( Revision )

Learning Objective : Solving problems

Learning Outcomes : Students will be able to

                                    i)  draw the graph of functions.

                                    ii) solve problems involving graph.

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Homework : Past year questions

Reflection : Students are able to understand the concept.

 

 

Class : 4S4

Time : 10.55 -11.55

Learning Area : Line and Planes in 3-Dimensions

Learning Objective : Determine the lines and the planes.

Learning Outcomes : Students will be able to

                                    i)  sketch the lines and planes

                                    ii) determine the horizontal, vertical and inclined lines and planes.

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Teaching aid : LCD.

Homework : Exercise 11.1B

Reflection : Students are able to understand the concept.

 

 

Date : 11/9/ 2008

Class : 5K3 ( 7.05-8.05), 5K8 (8.05 – 9.05)

Learning Area : Mathematical Reasoning ( Revision )

Learning Objective : Problems solving

Learning Outcomes : Students will be able to

                                    i)  determine a statement.

                                    ii) solve problems involving mathematical reasoning.

Activities :  Discussion

                  Doing exercise.

Moral Value : Hardworking.

Teaching aid : -

Homework : past year questions

Reflection : Students are able to understand the concept.

 

 

Date : 12/9/ 2008

Class : 5S1 (7.05 – 7.40 )

-          SPM  Trial Exam

 

5K8 (9.40 – 10.40 )

Learning Area : Variations( Revision )

Learning Objective : Solving problems

Learning Outcomes : Students will be able to

                                    i)  determine combined variations.

                                    ii) solve problems involving combined variations.

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Teaching aid : -

Homework : Past year questions

Reflection : Students are able to understand the concept.

 

 

Class : 4S4

Time : 8.15 – 9.25

Learning Area : Line and Planes in 3-Dimensions

Learning Objective : Identifying normals to a planes.

Learning Outcomes : Students will be able to

                                    i)  sketch the lines and planes

                                    ii) determine the  normal to a planes.

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Teaching aid : LCD.

Homework : Exercise 11.1E

Reflection : Students are able to understand the concept.

 

WEEK 34

Date : 15/9/2008

Class : 5K8 (7.05 – 8.05 ), 5S1(10.25 – 11.25)

Learning Area : Volume of the solid (Revision)

Learning Objective : Solving Problems

Learning Outcomes : Students will be able to

                                    i)  perform calculation of the volume of a solid.

                                    ii) solve problems given

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Homework : Past year questions

Reflection : Students are able to understand the concept.

 

 

Class : 4S4

Time : 8.05 – 9.05

Learning Area : Lines and angles in 3-Dimension

Learning Objective : Angle between a line and a plane.

Learning Outcomes : Students will be able to

                                    i)  sketch a diagram

                                    ii) determine the angle between a line and a plane

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Teaching aid : Ruler

Homework : Exercise 11.1 G.

Reflection : Students are able to understand the concept.

 

 

 

Date : 16/9/2008

Class : 5S1 (7.05 – 8.05 )

 

-          PERHIMPUNAN TINGKATAN 5

 

 

Class : 5K3(9.25 – 9.55)

Time : 9.25 – 9.55

Learning Area : Volume of the solid (Revision)

Learning Objective : Solving Problems

Learning Outcomes : Students will be able to

                                    i)  perform calculation of the volume of a solid.

                                    ii) solve problems given

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Homework : Past year questions

Reflection : Students are able to understand the concept.

 

 

 

Date : 17/9/2008

Class : 5K3 ( 7.05-8.05), 5K8 (8.05 – 9.05)

Learning Area : Gradient and Area under the Graph ( Revision )

Learning Objective : Solving problems

Learning Outcomes : Students will be able to:

                                    i)  calculate the gradient of the straight line.

                                    ii) solve problems involving graph.

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Homework : Past year questions

Reflection : Students are able to understand the concept.

 

 

 

Class : 4S4

Time : 10.55 -11.55

Learning Area : Lines and angles in 3-Dimension

Learning Objective : Angle between a line and a plane.

Learning Outcomes : Students will be able to

                                    i)  sketch a diagram

                                    ii) solve problems involving the angle between a line and a plane

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Teaching aid : Ruler

Homework : Exercise 11.1 H..

Reflection : Students are able to understand the concept.

 

 

 

 

Date : 18/9/ 2008

Class : 5K3 ( 7.05-8.05)

 

-          Peperiksaan Percubaan SPM

( Geografi 2 )

 

 

 

 

 

Class : 5K8

Time : (8.05 – 9.05)

Learning Area : Matrics ( Revision )

Learning Objective : Problems solving

Learning Outcomes : Students will be able to

                                    i)  determine a statement.

                                    ii) solve problems involving mathematical reasoning.

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Teaching aid : -

Homework : past year questions

Reflection :

 

 

 

Date : 19/9/ 2008

Class : 5S1 (7.05 – 7.40 )

-          SPM  Trial Exam

 

 

 

5K8 (9.40 – 10.40 )

-          SPM  Trial Exam

 

 

 

 

Class : 4S4

Time : 8.15 – 9.25

Learning Area : Line and Planes in 3-Dimensions

Learning Objective : Angle between two  planes.

Learning Outcomes : Students will be able to

                                    i)  sketch the lines and planes

                                    ii) determine the angle between two planes planes.

Activities :  Discussion

                    Doing exercise.

Moral Value : Hardworking.

Teaching aid : LCD.

Homework : Exercise 11.2A.

Reflection :

 

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September 9, 2008

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