sukatan pelajaran tingkatan 5 2013

FORM FIVE  YEARLY PLAN FOR  MATHEMATICS

YEAR 2013

WEEK	TOPIC & OBJECTIVES	LEARNING OUTCOME
1.	INTRODUCTION TO MATHEMATICS FORM 5
2.	1.   NUMBER BASES 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 two, eight & five.    (ii)   State the value of a digit of a number in base two, eight & five.  (iii)   Write a number in base two, eight & five in expanded notation.
3.		(iv) Convert a number in base two, eight & 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)       subtraction of two numbers in base two.
4.	2.   GRAPHS OF FUNCTION S II 2.1Understand and use the concept of graphs of functions	(i)   Draw the graph of a: linear function, y = ax + b,           quadratic function, y = ax+ bx + c, cubic function,  y = ax+ bx+ cx + d & reciprocal function,         (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.  (iii)   Identify the shape of graph          given a type of function, the type of function given a graph & the graph given a function and vice versa.  (iv)   Sketch the graph of a given linear, quadratic, cubic or reciprocal function.
5.	2.2 Understand and use the concept of the solution of an equation by graphical method.	(v)   Find the point(s) of intersection of two graphs.  (vi)   Obtain the solution of an equation by finding the point(s) of intersection of two graphs. (vii)   Solve problems involving solution of an equation by graphical method.

WEEK	TOPIC & OBJECTIVES	LEARNING OUTCOME
6.	2.3       Understand and use the concept of the region representing inequalities in two variables.	(i)   Determine whether a given poi nt satisfies y = ax + b or  y > ax + b or       y < ax + b.    (ii)   Determine the position of a given point relative to the equation              y = ax + b. Identify the region satisfying y > ax + b or   y < ax + b.  (iii)   Shade the regions representing the inequalities:         a)    y > ax + b or                y < ax + b         b)    y  ax + b or                y  ax + b.  (iv)   Determine the region which satisfies two or more simultaneous linear inequalities.
7.	3.  TRANSFORMATION III 3.1       Understand and use the 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 an object under combination of two transformations. (iv) State the coordinates of the image of a point under combined transformation
8.	3.1    Understand and use the concept of combination of two transformations	(v)    Determine whether combined transformation AB is equivalent to combined transformation BA. (vi)  Specify two successive    transformations 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.
9.	REVISION TOPIC 1 - 3
10.	PKBS 1, 2012
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12	4.   MATRICS 4.1 Understand and use the concept of matrix.	(i)   Form a matrix from given information.    (ii)   Determine: a)      the number of rows b)      the number of            columns c)      the order        of a matrix. (iii)   Identify a specific element in a matrix.
WEEK	TOPIC & OBJECTIVES	LEARNING OUTCOME
13	4.2    Understand and use the concept of equal matrices.	(i)   Determine whether two matrices are equal.    (ii)   Solve problems involving equal matrices.
14	4.3Perform addition and subtraction on matrices	(i)   Determine whether addition or subtraction can be performed on two given matrices.    (ii)   Find the sum or the difference of two matrices.  (iii)   Perform addition and subtraction on a few matrices. Solve matrix equations involving addition and subtraction.
	4.4Perform 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.
15	4.5Perform 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.
	4.6Understand and use the concept of identity 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.
16	4.7Understand and use the concept of inverse matrix.	(i)   Determine whether a 2 ´ 2 matrix is the inverse matrix of another 2 ´ 2 matrix.    (ii)   Find the inverse matrix of a 2 ´ 2 matrix using the method of solving simultaneous linear equations & a formula
	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.
WEEK	TOPIC & OBJECTIVES	LEARNING OUTCOME
17	5.    VARIATIONS 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, 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 variation for the following cases: y x; y x;  y x;  y x.
18	5.2Understand and use the concept of inverse variation	(i)   State the changes in a quantity with respect to changes in another quantity, involving inverse variation. (ii)    Determine from given information whether a quantity varies 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:
	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.

WEEK	TOPIC & OBJECTIVES	LEARNING OUTCOME
19	2012  Mid-year Examination
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Mid-year Vacation 2012  (25/5/2012- 09/6/2012)
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22	6.    GRADIENT AND AREA UNDER A GRAPH 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 m          eaning of its gradient.
23	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 types 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.
24	7.  PROBABILITY II 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.
	7.2 Understand and use the concept of probability of the complement of an event.	(i)   Solve problems involving probability of an event.    (ii)   State the complement of an event in: a)      words b)      set notation.  (iii)   Find the probability of the complement of an event.
	7.3 Understand and use the concept of probability of combined event.	(i)   List the outcomes for events: a)      A or B as elements of set AB b)      A and B as elements of set A B.    (ii)   Find the probability by listing the outcomes of the combined event: a)      A or B b)      A and B  (iii)   Solve problems involving probability of combined event.
WEEK	TOPIC & OBJECTIVES	LEARNING OUTCOME
25	8.  LEARNING AREA:  BEARING 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 of point A from point B based on given information.    (v)   Solve problems involving bearing.
	9.  EARTH AS A SPHERE 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
	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
26	9.3 Understand the 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.
	9.4  Understand and use the 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.

WEEK	TOPIC & OBJECTIVES		LEARNING OUTCOME
27	9.4  Understand and use the concept of distance on the surface of the earth to solve problems.		(i)    Find the distance between two points measured along the equator, given the longitudes of both points.   (ii)    Find the longitude of a point given the longitude of another point and the distance between the two points along the equator. (iii)    State the relation between the radius of the earth and the radius of a parallel of latitude. (iv)    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   (v)    Find the distance between two points measured along a parallel of latitude. (vi)    Find the longitude of a point given the longitude of another point and the distance between the two points along a parallel of latitude. (vii)    Find the shortest distance between two points on the surface of the earth. (viii)    Solve problems involving: a)        distance between two points          b)   travelling on the surface of the earth.
28	10. PLANS AND EVELATIONS 10.1  Understand and use the concept of orthogonal projection.		(i)   Identify orthogonal projection.    (ii)   Draw orthogonal projection, given an object and a plane.  (iii)   Determine the difference between an object and its orthogonal projection with respect to edges and angles.
	10.2     Understand and use the concept of plan and elevation		(i)   Draw the plan of a solid object.    (ii)   Draw a)   the front elevation b)   side elevation      of a solid object.  (iii)   Draw a)   the plan b)   the front elevation c)   the side elevation of a solid object to scale.  (iv)   Solve problems involving plan and elevation.
29	2011S.P.M. Trial Examination
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31	Revision of Form 4 topics through solving & discussion of Past Years Questions (2003 – 2011)
32	Revision of important topics through solving & discussion of Past Years Questions. Solving & discussion of Past Years Questions according to years (2004 – 2011)
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WEEK	TOPIC & OBJECTIVES	LEARNING OUTCOME
34	SPM DRILLING PROGRAMME Solving & discussion of  SPM Trial Questions from all states in Malaysia
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SPM  & Year End Vacation                                                                                                                                      (v)   (11/11/2013 -31/12/2013)