matematik tingkatan 2_final

8/14/2019 Matematik Tingkatan 2_Final

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KEY PERFORMANCE INDICATOR (KPI)(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TAHUN 2009

SEKOLAH SMK DATO' PENGGAWA BARAT, PONTIAN JOHOR

KOD SEKOLAH JEA6006

PENGETUA / GURU BESAR TUAN HAJI HASHIM MOHD DOM

GURU PENOLONG KANAN 1EN. ABDUL KARIM BIN SUDIR

BIDANG MATAPELAJARAN MATEMATIK

PANITIA MATEMATIK

MATAPELAJARAN MATEMATIK

TINGKATAN / TAHUN TINGKATAN 2

GURUGuru Kanan MP PN. HO NIAK OIEKetua Panitia PN. NORANI BINTI BASRIGuru Mengajar CIK HAFIZA BINTI AHMAD


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KEY PERFORMANCE INDICATOR (KPI)

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

UJIAN BULANAN 1 / UJIAN PENILAIAN & PENCAPAIAN MURID 1 (UPPM1) 23hb Feb 2009

UJIAN BULANAN 2 4hb April 2009

PEPERIKSAAN PERTENGAHAN TAHUN / UJIAN PENILAIAN & PENCAPAIAN MURID 2 (UPPM213hb Mei 2009

UJIAN BULANAN 3 16hb Mei 2009

PEPERIKSAAN AKHIR TAHUN / UJIAN PENILAIAN & PENCAPAIAN MURID 3 (UPPM3) 14hb Okt 2009

PEPERIKSAAN PERCUBAAN SPM/PMR/UPSR 9hb Sept 2009

UJIAN DIAGNOSTIK 1 15hb Jan 2009

UJIAN DIAGNOSTIK 2 Tiada

GERAK GEMPUR 1 8hb Ogos 2009

GERAK GEMPUR 2 12hb Okt 2009

PRA-PEPERIKSSAN PERTENGAHAN TAHUN Tiada

PRA-PEPERIKSSAN AKHIR TAHUN Tiada

KIA 2M1. Ujian Penapisan Tiada2. Ujian Pelepasan 1 Tiada

3. Ujian Pelepasan 2 Tiada

PROTIM Thaun 4 dan 61. Pra-Ujian Tiada2. Psaca Ujian Tiada

PELAKSANAAN PENTAKSIRAN BERASASKAN SEKOLAH (PBS)

1. Taklimat Calon 15hb Jan 20092. Jangka Masa Pelaksanaan Jan 2009 ~ Jul 20103. Tarikh Penghantaran Markah PBS ke LPM Ogos 2010


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TARGET MATA PELAJARAN MENGIKUT PANITIA(Head Count Pencapaian Keseluruhan Mata Pelajaran)

MATA PELAJARAN MATEMATIK

TINGKATAN TINGKAT 2

4 3 2

Perkara

A B C

Bil % Bil % Bil %

a 18 1 5.56 8 44.44 8 44.44

b 238 126 52.94 64 26.89 40 16.81

c 238 126 52.94 64 26.89 40 16.81

dOTI1 = TOV + (ETR - TOV)/3

235 193 36.15 33 174.59 9 11.77

e OTI2 = TOV + (ETR -TOV)2/3 235 46 89.94 29 358.15 19 29.15

f ETR (kiraan) 235 6 2.55 12 470.00 8 1.70

g ETR (pindaan) 235 9 3.83 14 365.56 3 0.82

h Perbezaan - 3 1.28 2 -104.44 (5) -0.88

Disediakan oleh Disahkan oleh

.. ..

Ketua Panitia Guru Penolong Kanan 1/ Guru Kanan Mata Pelajaran

MATEMATIK SMK DATO' PENGGAWA BARAT, PONTIAN JOHOR

Jum.Pelajar

Peperiksaan SPM/PMR/UPSR (Tahunterbaik) 2008

Peperiksaan Akhir Tahun Tingkatan / Tahunlepas

TOV (Peperiksaan Akhir Tahun Tingkatan /Tahun lepas


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Minggu Kod HSP Hasil Pembelajaran (Learning Outcomes)

1.1.3 i). Compare and order fractions 1 2

M2 1 2

1.1.4 1 3

1.1.5 2 2

2 2

3 2

Penyemakkan dan penandaan Penyemakkan dan penandaan 1

Penyemakkan dan penandaan Penyemakkan dan penandaan 2 1

Bidang Pembelajaran (LearningSpecifications)

Aras (Level)StandardMinimum (s

1.3.Extend the concept of integers tofractions to solve problems.

ii). Perform addition, subtraction, multiplication anddivision of fractions.

1.4 Extend the concept of integers todecimals to solve problems

i). Compare and order fractions ii). Perform addition,subtraction, multiplication and division of fractions.

1.5 perform computations involvingdirected numbers ( integers, fractionsand decimals)

i) perform addition, subtraction, multiplication anddivision involving two directed numbers.

Ii).perform computations involving combination of twoor more operations on directed numbers including theuse of brackets.

Iii) pose and solve problems involving directednumbers


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M3 2.1.1 1 2

2 2

3 2

2.2.1 1 2

1 2

1 2

iv).Find the square roots of numbers using calculators. 1 2

2 3

2.3.1 2 3

iv). Determine cubes of numbers using calculators 2 3

3 2




Aras (Level)StandardMinimum (s)

2.1 understand and use the concept ofsquares of numbers

i) state number multiplied by itself as a number to thepower of two and vice versa . ii).Determine thesquares of numbers without using calculators.

iii).Estimate the squares of numbers iv). L ist perfectsquares

v) pose and solve problems involving squares ofnumbers

2.2 understand and use the concept ofsquare roots of positive numbers

i)determine the relationship between squares andsquare roots.

ii). Determine the square roots of perfect aquareswithout using calculator.

Iii). Determine the square roots of numbers withoutusing calculators

v). pose and solve problems involving square andsquare roots

2.3 understand and use the concept ofcube of numbers

i)state a number multiply by itself twice i i). Determinecubes of numbers without using calculators iii).Estimate cubes of numbers

v). Pose and solve problems involving cubes ofnumbers


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M5 3.1.1 1 2

1 2

1 2

1 2

v. State like terms for a given algebraic terms 1 2

3.2.1 1 4

ii. Find the quotient of two algebraic terms 1 3

1 3

M5-6 3.3.1 2 4

2 3

2 3

3 2





3.1 Understand the concept ofalgebraic terms in two or moreunknowns

i. Identify unknowns in algebraic terms in two or moreunknowns

ii. Identify algebraic terms in two or more unknowns asthe product of the unknowns wit a number

iii. Identify coefficients in given algebraic terms in twoor more unknowns

iv. Identify like and unlike algebraic terms in two ormore unknowns

3.2 Perform computations involving

multiplication and division of two ormore terms.

i. Find the product of two algebraic terms

iii. Perform multiplication and division involvingalgebraic terms

3.3 Understand the concept ofalgebraic expressions.

i. Write algebraic expressions for given situationsusing letter symbols

ii. Recognise algebraic expressions in two or moreunknowns

iii. Determine the number of terms in given algebraicexpressions in two or more unknowns

v. Evaluate expressions by substituting numbers forletters


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M5-6 3.4.1 1 2

2 3

iii. Simplify algebraic expressions 3 3





3.4 Perform computations involvingalgebraic expressions.

i. Multiply and divide algebraic expressions by anumber

ii. Perform :a) additionb) subtractioninvolving two algebraic expressions


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M7 4.1.1 1 2

4.2.1 2 5

M8 4.3.1 2 4

2 3

v. Solve linear equations in one unkown. 2 3

3 2

Penyemakkan dan penandaan Penyemakkan dan penandaan 1Penyemakkan dan penandaan Penyemakkan dan penandaan 2 1



4.1 Understand and use the concept ofequality.

i. State the relationship between two quantities byusing the symbols = or .

4.2 Understand and use the concept oflinear equations in one unknown.

i. Recognise linear algebraic termsii. Recognise linear algebraic expressionsiii. Determine if given situation is:a). a linear equationb) a linear equation in one unknown.iv. Write linear equations in one unknown for givenstatements and vice versa.

4.3 Understand the concept of solutionsof linear equations in one unknown

i. Determine if a numerical value is a solution of agiven linear equation in one unknown.ii. Determine the solution of a linear equation in oneunknown by trial and improvement method.iii. Solve equations in the form of:a). x + a = bb). x a + bc). ax = b

d). x = ba

where a, b, c are integers and x is an unknown.

iv. Solve equations in the form of ax + b = c, where a,

b, c are integers and x is an unknown.

vi. Pose and solve problems involving linear equationsin one unknown.


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M8 5.1.1 1 3

5.2.1 2 3

2 3

2 3

3 2

5.3.1 3 3

iii. Simplify ratio of three quantities to the lowest terms. 1 2

1 2

1 3

2 2

2 2

a) the ratio and the sum of three quantities.

2 2

3 2





5.1 Understand the concept of ratio oftwo quantities.

i. Compare two quantities in the form a : b or a/bii. Determine whether given ratios are equivalentratios.iii. Simplify ratios two the lowest terms.iv. State ratios related to a given ratio.

5.2 Understand the concept ofproportion to solve problems.

i. State whether two pairs of quantities is a proportion.ii. Determine if a quantity is proportional to anotherquantity given two values of each quantity.

iii. Find the value of a quantity given the ratio of thetwo quantities and the value of another quantity.iv. Find the value of a quantity given the ratio and thesum of the two quantities.

v. Find the sum of two quantities given the ratio of thequantities and the difference between the quantities.

vi. Pose and solve problems involving ratios andproportions.

5.3 Understand and use the concept ofratio of three quantities to solveproblems.

. .ii. Determine whether given ratios are equivalentratios.

iv. State the ratio of any two quantities given ratio ofthree quantities.

v. Find the ratio of a : b : c given the ratio of a : b andb : c.

vi. Find the value of the other quantities, given theratio of three quantities and the value of one of thequantities.

vii. Find the value of each of the three quantities given:

b) the ratio and the difference between two of thethree quantities.

viii. Find the sum of three quantities given the ratioand the difference between two of the three quantities.

ix. Pose and solve problems involving ratio of thethree quantities.


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M9 6.1.1 1 2

1 2

1 2

v. Solve problems using the Pythagoras Theorem. 3 2

6.2.1 2 2

3 2





6.1 Understand the relationshipbetween the sides of a right-angledtriangle.

Identify the hypotenuse of right-angled triangles.ii. Determine the relationship between the lengths ofthe sides of a right-angled triangle.

iii. Find the length of the missing side of a right-angledtriangle using the Pythagoras Theorem.

iv. Find the length of sides of geometric shapes usingPythagoras Theorem.

6.2 Understand and use the converse

of the Pythagoras Theorem.

i.Determine whether a triangle is a right-angled

triangle.

ii. Solve problems involving the converse PythagorasTheorem.


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1KEY PERFORMANCE INDICATOR (KPI)



M10 8.1.1 2 2

ii. Construct a tr iangle given the length of the sides 2 2

iii. Construct :

a) perpendicular bisector of a given line segment 2 2

2 2

2 2

iv. Construct :

a) angle of 60 and 120 2 2

b) bisector of an angle 2 2





8.1 Perform constructions using straightedge (ruler and set square) andcompass

i.Construct a line segment of given length

b) perpendicular to a line passing through a point onthe line

c) perpendicular to a line passing through a point noton the line


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M11 8.1.1 2 5





8.1 Perform constructions using straightedge (ruler and set square) andcompass

v. Construct triangles given :a) one side and two anglesb) two sides and one anglevi. Construct :a) parallel linesb) parallelogram given its sides and an angle


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M12 9.1.1 1 1

1 1

iv. State the coordinates of points on Cartesian plane. 1 1

9.2.1 1 2

1 2

1 2

vi. Pose and solve problems involving coordinates. 3 2

9.3.1 2 2

2 2

3 3

9.4.1 1 2

a) common y-coordinates 1 2

b) common x-coordinates 1 2

1 2

iv. Pose and solve problems involving midpoints. 3 2





9.1 Understand and use the concept ofcoordinates

i. Identify the x-axis, y- axis and the origin on aCartesian plane.ii. Plot points and state the coordinates of the pointsgiven distances from the y-axis and x-axis

iii. Plot points and state the distances of the pointsfrom the y-axis and x-axis given coordinates of thepoints.

9.2 Understand and use the concept ofscales for the coordinates axes.

i. Mark the values on both axes by extending thesequence of given values on the axes.

ii. State the scales used in given coordinate axeswhere :a) scales for axes are the sameb) scales for axes are different

iii. Mark the values on both axes, with reference to thescales given.

iv. State the coordinates of a given point withreference to the scales given.

v. Plot points, given the coordinates, with reference tothe scales given.

9.3 Understand and use the concept ofdistance between two points on aCartesian plane.

i. Find the distance between two points with:a) common y-coordinatesb) common x-coordinates

ii. Find the distance between two points usingPythagoras theorem

iii. Pose and solve problems involving distancebetween two points.

9.4 Understand and use the concept ofmidpoints

.

ii. Find the coordinates of the midpoint of a straightline joining two points with :

iii. Find the coordinates of the mid-point of the linejoining two points.


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M13 10.1.1 1 3

ii. Determine the locus of points that are of :

a) constant distance from a fixed point 1 2

b) equidistant from two fixed points 1 2

c) constant distance from a straight line 1 2

d) equidistant from two intersecting lines 1 2

2 2

b) the point is at a equidistant from two fixed points 2 2

2 2

2 2





10.1 Understand the concept of two-dimensional loci.

i. Describe and sketch the locus of a moving object

iii. Construct the locus of a set of all points thatsatisfies the condition :

a) the point is at a constant distance from a fixedpoint

c) the point is at a constant distance from a straightline

d) the point is at equidistant from two intersectinglines


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M14 10.1.2 3 2





10.2 Understand the concept of theintersection of two loci

i. Determine the intersections of two loci by drawingthe loci and locating the points that satisfy theconditions of the two loci


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1KEY PERFORMANCE INDICATOR (KPI)



M15 11.1.1 1 2

iii. Draw:a) a circle given the radius and centre 1 2

b) a circle given the diameter 1 2

2 2

2 2

2 2

iv. Determine the:

a) center 2 2

b) radius 2 2

of a given circle by construction.





11.1 Recognise and draw parts of acircle

i. Identify circle as set of points equidistant from afixed point.ii. Identify parts of a circle:a) centerb) circumferencec) radiusd) diametere) chordf) arcg) sectorh) segment

c) a diameter passing through a specific point in acircle given the centre

d) a chord of a given length passing through a pointon the circumference

e) sector given the size of the angle at the centre andradius of the circle.


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M16 11.2.1 3 2

iii. Find the circumference of a circle, given its:

a) diameter 3 2

b) radius 3 2

iv. Find the:

a) diameter 3 2

b) radius 3 2

given the circumference of a circle.

v. Solve problems involving circumference of circles. 3 2





11.2 Understand and use the conceptof circumference to solve problems

i. Estimate the value of .ii. Derive the formula of the circumference of a circle.


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M17 11.3.1 2 1

2 1

2 1

2 1

v. Solve problems involving arcs of a circle. 3 2





11.3 Understand and use the conceptof arc of a circle to solve problems.

i. Derive the formula of the length of an arc

ii. Find the length of arc given the angle at the centreand the radius.

iii. Find the angle at the centre given the length of thearc and the radius of a circle.

iv. Find the length of radius of a circle given the lengthof the arc and the angle at the centre.


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M18 11.4.1 2 2

ii. Find the area of a circle given the:

a) radius 2 2

b) diameter. 2 2

iii. Find

a) radius 2 2

b) diameter 2 2

given the area of a circle. 2 2

2 2

v. Solve problems involving area of circles. 3 2





11.4 Understand and use the conceptof area of a circle to solve problems.

i. Derive the formula of the area of a circle.

iv. Find the area of a circle given the circumferenceand vice versa.


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M20 12.1.1 1 1

1 1

12.2.3 1 1

1 1

iii. describe a translation : 1 1

1 1

b) in the form 1 1

iv. Determine the properties of translation. 2 2

v. Determine the coordinates of :

a) the image, given the coordinates of the object 2 2

2 2

vi. Solve problems involving translation. 3 3





12.1 Under stand the concept oftransformations

. en y a rans orma on as a one- o-onecorrespondence between points in a plane.

ii. Identify the object and its image in a giventransformation.

12.2 Understand and use the conceptof translations.

i. Identify a translation.

ii. Determine the image of an object under a giventranslation.

a) by stating the direction and distance of the

movement

b)the object, given the coordinates of the imageunder a translations.


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M21 12.3.1 1 1

2 1

iii. Determine the properties of reflections. 2 1

iv. Determine :

a) the image of an object, given the axis of reflection 2 1

b) the axis of reflection, given the object and its image 2 1



2 1

vi. Describe a reflection given the object and image. 2 2

vii. Solve problems involving reflection. 3 3





12.3 Understand and use the conceptof reflections

ii. Determine the image of an object under a reflectionon a given line.

b)the object, given the coordinates of the imageunder a reflection.


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M22 12.4.1 1 1

2 1

iii. Determine the properties of rotations. 2 1

iv. Determine :

2 1

2 1



2 1

vi. Describe a rotation given the object and image. 3 1

vii. Solve problems involving rotations. 3 2





12.4 Understand and use the conceptof rotations.

i. Identify a rotation.

ii. Determine the image of an object under a rotationgiven the centre, the angle and direction of rotation.

a) the image of an object, given the centre, angle anddirection of rotation

b) the centre, angle and direction of rotation, giventhe object and the image.

b) the object, given the coordinates of the imageunder a rotation


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M23 12.5.1 1 1

1 1

iii. Construct patterns using isometry. 1 1

12.6.1 1 1

1 1

iii. Solve problems involving congruence 3 1

12.7.1 2 1





12.5 Understand and use the conceptof isometry

i. Identify an isometry.

ii. Determine whether a given transformation is anisometry.

12.6 Understand and use the conceptof congruence.

i. Identify if two figures are congruent.

ii. Identify congruency between two figures as aproperty of an isometry.

12.7 Understand and use the properties

of quadrilaterals using concept oftransformations

i. Determine the properties of quadrilaterals usingreflections and rotations.


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M24 13.1.1 1 1

13.2 Understand the concept of nets. 13.2.1 2 1

ii. State the types of solids given their nets 2 1

iii. Construct models of solids given their nets 2 2





13.1 Understand geometric propertiesof prisms, pyramids, cylinders, conesand spheres.

i. State the geometric properties of prisms, pyramids,cylinders, cones and spheres. , , ,cones


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M25 13.3.1 2 2

2 2

2 2

iv. Find dimensions :

a) length of sides 2 2

b) height 2 2

c) slant height 2 2

d) radius 2 2

e) diameter 2 2

v. Solve problems involving surface areas 3 2





13.3 Understand the concept of surfacearea.

i. State the surface areas of prisms, pyramids,cylinders and cones

ii. Find the surface area of prisms, pyramids, cylindersand cones

iii. Find the surface area of spheres using thestandard formula

of a solid given its surface area and other relevantinformation


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M26 13.3.1 2 2

2 2

2 2



b) height 2 2

c) slant height 2 2

d) radius 2 2e) diameter 2 2












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M27 13.3.1 2 2

2 2

2 2



b) height 2 2

c) slant height 2 2

d) radius 2 2e) diameter 2 2












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M28 14.1 Understand the concept of data 14.1.1 1 1

ii. Collect and record data systematically 1 2





i. Classify data according to those that can becollected by:a) countingb) measuring


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M29 14.2.1 1 1

ii. Determine the data with : 1 1

a) the highest frequency 1 1

b) the lowest frequency 1 1

c) frequency of a specific value. 1 1

iii. Organize data by constructing :

a) tally charts 1 1

b) frequency tables 1 1

iv. Obtain information from frequency table 1 1





14.2 Understand the concept offrequency

i. Determine the frequency of data.


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M30 14.3.1 1 2

ii. Obtain information from pictograms. 1 2

iii. Solve problems involving pictograms. 2 2

iv. Construct bar charts to represent data. 2 2

v. Obtain information from bar charts. 2 2

vi. Represent data using line graphs. 2 2

vii. Obtain information from line graphs. 2 2

viii. Solve problems involving line graphs. 3 2





14.3 Represent and interpret data in:i. pictogramsii. bar chartsiii. line graphs to solve problems

i. Construct pictograms to represent data.

matematik tingkatan 2_final

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