gpmp , teaching plan

SEKOLAH MENENGAH KEBANGSAAN TUNKU ABDUL RAHMAN NIBONG TEBALANALISIS KEPUTUSAN UJIAN DAN PEPERIKSAAN

Nama Guru:

M.PelajaranJumlah calon

Pep.Pencapaian Mengikut Gred dan Peratus

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Tingkatan:

Pencapaian Mengikut Gred dan Peratus Lulus Gred PurataD % E % Bil % 2009

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Nama Guru :

M/PelJum.

Pep.Pencapaian Mengikut Gred dan Peratus

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Tingkatan:

Pencapaian Mengikut Gred dan Peratus Lulus GPMP% 6C % 7D % 8E % 9G % Bil % 2009

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SMK TAMAN WIDURITEACHING PLAN FOR YEAR 2009

ADDITIONAL MATHEMATICS FORM 4

Learning Objectives/Learning Outcomes1

ChapIntroduction & Review x1.Basic Algebra

4 Simultaneous Equation (SE)1. Solve SE in two unknowns:one linear equation and one nonlinear equation1.1 Solve simultaneous equations using the substitution method1.2 Solve SE involving real-life situations

1 Function1. Understand the concept of relation1.1 Represent relations using arrow diagram, ordered pairs, graphs.1.2 Identify domain, codomain, object, image & range of a relation1.3 Classifying types of relation-one to one, one to many, many to one & many to many2. Understand the concept of functions.2.1 Recognise functions as a special relations x2.2 Express funtions using function notation x2.3 Determine domain,object,image & range of a function x2.4 Determine image of a function given the object & vise versa x

3. Understand the concept of composite functions3.1 Determine composite of two functions3.2 Determine the image of composite functions given object & vice versa3.3 Determine one of the functions in given composite function given the other related function.4. Understand the concept of inverse functions4.1 Find object by inverse mapping given its image & function

UJIAN KEMAJUAN 14.2 Determine inverse function using algebra4.3 Determine & state the condition for existence of an inverse function

Chap Learning Objectives/Learning Outcomes1

2 Quadratic Equation (QE)1. Understand the concept of QE and its roots1.1 Recognise QE and express it in general form1.2 Determine whether a given value is the root of a QE by substitution and inspection1.3 Determine roots of a QE by trial and improvement method

CUTI PERTENGAHAN PENGGAL2. Solving QE2.1 Determine the roots of a QE by factorisation, completing the square and using the formula2.2 Form a QE from given roots

2 3. Understand and use the conditions for QE to have a) two different roots b) two equal roots

c) no roots

x

a) find an unknown value b) derive a relation

UJIAN KEMAJUAN II3 Quadratic Functions (QF)

1. Understand the concept of QF and their graphs1.1 Recognise QF1.2 Plot QF graphs base on given tabulated values and by tabulating values based on given function1.3 Recognise shapes of graphs of QF1.4 Relate the position of QF graphs with types of roots for f(x)=02. Find the maximum and minimum values of QF2.1 Determine the maximum or minimum value of a QF by completing the square

3. Sketch graphs of QF3.1 Sketch QF graphs by determining the maximum or minimum point and other two points x


4. Understand and use the concept of quadratic inequalities4.1 Determine the ranges of value of x that satisfies quadratic inequalities

PEPERIKSAAN PERTENGAHAN TAHUNCUTI PERTENGAHAN TAHUN

5 Indices and Logarithms1. Understand and use the concept of indices and laws of indices to solve problems1.1 Find the value of numbers given in form of integer indices and fractional indices1.2 Use laws of indices to finf value of numbers in index form that are multiplied, divided or raised to a power1.3 Use laws of indices to simplify algebraic expressions

2. Understand and use the concept of logarithms and laws of logarithms to solve problems2.1 Express equation in index form to logarithm form and vice versa x2.2 Find logarithm of a number x2.3 Find logarithm of numbers by using laws of logarithm2.4 Simplify logarithmic expressions to the simplest form3. Understand and use the change of based of logarithms to solve problems3.1 Find logarithm of a number by changing the based of trhe logarithm to a suitable base3.2 Solve problems involving the change od base and laws of lagarithms4. Solve equations involving indices and lagarithms4.1 Solve equations involving indices4.2 Solve equations involving logarithms

UJIAN KEMAJUAN 36 Coordinate Geometry

1. Find distance between two points1.1 Find distance between two points using formula

2. Understand the concept of division of line segments

3.1 Determine types of roots of QE from the value of b2 - 4ac

3.2 Solve problems involving b2 - 4ac in QE to

2.1 Find the midpoint of two given points x2.2 Find the coordinates of a point that divides a line according to a given ratio m : n x


3. Find area of polygons6 3.1 Find area of a triangle base of the area of spesific geometrical shapes

3.2 Find area of a triangle by using the formula3.3 Find area of a quadrilateral by using the formula4. Understand and use the concept of equation of a straight line4.1 Determine the x-intercept and the y-intercept of a line4.2 Find the gradient of a straight line that passes through two points4.3 Find the gradient of a straight line using the x-intercept and y-intercept4.4 Find the equation of a straight line given gradient and one points, point and x-intercept y-intercept4.5 Find the gradient and the intercept of a straight line given the equation4.6 Change the equation of a straight line to a general form4.7 Find the point of intersection of two lines

CUTI PERTENGAHAN PENGGAL

PEPERIKSAAN PERCUBAAN PMR MULAPEPERIKSAAN PERCUBAAN SPM MULA

5. Understand and use the concept of parallel and perpendicular lines5.1 Determine whether two straight lines are parallel when the gradients of both lines are k x and vice versa5.2 Find the equation of a straight line that passes through a fixed point and parallel to a gi x5.3 Determine whether two straight lines are perpendicular when the gradients of both line x5.4 Find the equation of a straight line that passes through a fixed point and perpendicular x5.5 Solve problems involving equations of straight lines6. Understand and use the concept of equation of locus involving distance between two points6.1 Find the equation of locus that satifies the condition if a) distance of moving point from a fixed point is constant b) the ratio of the distances of a moving point from two fixed point is constant 6.2 Solve problems involving loci


Statistics1. Understand and use the concept of measures of central tendency to solve problems

7 1.1 Calculate the mean of ungroup data1.2 Determine the mode of ungrouped data 1.3 Determine the median of ungrouped data 1.4 Determine the modal clas of grouped data from frequency distribution tables 1.5 Find the mode from histograms1.6 Calculate the mean of group data1.7 Calculate the median of group data from cumulative frequency distribution tables1.8 Estimate the median of group data from an ogive

1.9 Determine the effects on mode, median and mean for a set of data when a) each data is changed uniformly; b) extreme values exist c) certain data is added or removed.1.10Determine the most suitable measure of central tendency for given data

2. Understand and use the concept of measures of dispersion to solve problems2.1 Find the range of ungrouped data x2.2 Find the interquartile range of ungrouped data x2.3 Find the range of grouped data x2.4 Find the interquartile range of grouped data from the cumulative frequency table2.5 Determine the interquartile range of grouped data from an ogive2.6 Determine the variance of ungrouped and grouped data2.7 Determine the standard deviation of ungrouped and grouped data2.8 Determine the effects on range, variance and standard deviation for a set of data when a) each data is changed uniformly; b) extreme values exist c) certain data is added or removed .2.9 Compare measures of central tendency and dispersion between two sets of data


9 Calculus1. Understand and use the concept of gradients of curveband differentiation1.1 Determine the value of a function when its variable approaches a certain value x1.2 Find the gradient of a chord joining twp points on a curve x1.3 Find the first derivative of a function y=f(x), as the gradient of tangent to its graph x1.4 Find the first derivative of polynamials using the first princples x1.5 Deduce the formula for first derivative of the function y = f(x) by induction x2. Understand and use the concept of first derivative of polynamial functions to solve problems2.1 Determine the first derivative of polynamials functions to solve problems

2.3 Determine first derivative of the function involving addition, substraction of algebraic terms2.4 Determine the first derivative of a product of two polynomials2.5 Determine the first derivative of a quotient of two polynomials2.6 Determine the first derivative of composite function using chain rule2.7 Determine the gradient of tangent at a point on a curve2.8 Determine the equation of tangent at a point on a curve2.9 Determine the equation of normal at a point on a curve3. Understand and use the concept of maximum and minimum value to solve problems3.1 Determine coordinates of turning points point of a curve3.2 Determine whether a turning point is a maximum or a minimum point3.3 Solve problems involving maximum or minimum values4. Understand and use the concept of rates of change to solve problems4.1 Determine rates of change for related quantities5. Understand and use the concept of small changes and approximations to solve problems5.1 Determine small changes in quantities

2.2 Determine the value of the first derivative of the function y=axn for a given value of x

5.2 Determine approximate values using differentiation6. Understand and use the concept of second derivative to solve problems6.1 Determine the second derivative of y=f(x)6.2 Determine whether a turning point is a maximum or a minimum point of a curve using the second deri

PEPERIKSAAN AKHIR TAHUN


8 Circular Measures1. Understand the concept of radian1.1 Convert measurements in radians to degrees and vice versa 2. Understand and use the concept of length of arc of a circle to solve problems2.1 Determine length of arc, radius and angle subtended at the centre of a circle based on given2.2 Find perimeter of segments of circles2.3 Solve problems involving lengths of arcs3. Understand and use the concept of area of sector of a circle to solve problems3.1 Determine area of sector, radius and angle subtended at the centre of a circle based on given in3.2 Find the area of segments of circles3.3 Solve problems involving area of sectors

11 Index Number1. Understand and use the concept of index number to solve problems1.1 Calculate index number1.2 Calculate price index

2. Understand and use the concept of composite index to solve problems2.1 Calculate composite index2.2 Find index number or weightage given relevant information2.3 Solve problems involving index number and composite index

10 Solution of Triangles1. Understand and use the concept of sine rule to solve problems1.1 Verify the sine rules x1.2 Use sine rule to find unknown sides or angles of a triangle x1.3 Find the unknown sides and angles of a triangle involving ambiguous case x1.4 Solve problems involving the sine rule x2. Understand and use the concept of cosine rule to solve problems2.1 Verify cosine rule2.2 Use cosine rule to find unknown sides or angles of a triangle2.3 Solve problems involving the cosine rule2.4 Solve problems involving the sine and cosine rules3. Understand and use the formula for areas of triangles to solve problems3.1 Find thec areas of triangles using the formula ½ ab sin C or its equivalent3.2 Solve problems involving tthree-dimensional objects

1.3 Find Qo or Q1 given relevant information

Week Date Notes2 3 4 5

January5/1 - 6/1

x 8/1 - 12/1

15/1 - 23/1x

x

28/1 - 30/1xxx

3/2 - 6/2

February10/2 - 13/2

xxx

16/2 - 6/3x

23 - 27 Febxx


March

12/3 -13/3xxx

14/3 - 22/326/3 - 27/3

xx

April1/4 - 10/4

xxx

13 -17 Apr

20/4 -24/4x

1.2 Plot QF graphs base on given tabulated values and by tabulating values based on given function xxx

27/4 - 30/4x

May4/5 - 8/5


11/5 - 15/5x

18 -29 May30/5 - 14/6

June

15/6 -19/6xx

xJuly

2. Understand and use the concept of logarithms and laws of logarithms to solve problems 1/7 - 10/7

xx

x 13/7 - 17/7xxxxx

20-24July

27/7 - 31/7x

August4/8 - 7/8


10/8 - 14/8xxx

17/8 - 21/8xxx

x

xxx

22/8-30/8September

1-4 Sept8-18 Sept

1/9 - 4/9

6. Understand and use the concept of equation of locus involving distance between two points 8/9 - 11/9

xxx


14/9-18/9xxxx

xxxx

x

xOkt

28/9-30/9

xxx

xx

x


Okt

1/10-2/10

2. Understand and use the concept of first derivative of polynamial functions to solve problems 5/10-9/10x

xxxxx

xxx

12/10-16/10x

xx

19/10-23/10X

5. Understand and use the concept of small changes and approximations to solve problemsx

x6.2 Determine whether a turning point is a maximum or a minimum point of a curve using the second deri x

26/10-6/11


Nov

9/11-13/11x

xxx

16/11-20/113.1 Determine area of sector, radius and angle subtended at the centre of a circle based on given in x

xx

23/11-30/11 Postponedto school

x holidays.x

x

xxx

1/12-15/12

xxxx

xx

gpmp , teaching plan

Documents

extreme values exist

find unknown sides

turning point

vice versa

central tendency

angle subtended

solve problems 3

solve problems 2