matematik tingkatan 3_final

8/14/2019 Matematik Tingkatan 3_Final

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1

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

TAHUN 2009

SEKOLAH SMK SRI PERHENTIAN, PONTIAN JOHOR

KOD SEKOLAH JEB6012

PENGETUA / GURU BESAR PN HJH FAREDAH BT MASHOR

GURU PENOLONG KANAN 1TN HJ ABD HAMID B BUHAIRAH

BIDANG MATAPELAJARAN SAINS DAN MATEMATIK

PANITIA MATEMATIK

MATAPELAJARAN MATEMATIK

TINGKATAN / TAHUN TINGKATAN 3

GURUGuru Kanan MP EN. SEOW YAN BEEKetua Panitia PN. NORHIDAYAH LIM BT ABDULLAHGuru Mengajar PN. NOR HUDA BT ABDULLAH


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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 14hb April 2009

PEPERIKSAAN PERTENGAHAN TAHUN / UJIAN PENILAIAN & PENCAPAIAN MURID 2 (UPPM225hb Mei 2009

UJIAN BULANAN 3 13hb July 2009

PEPERIKSAAN AKHIR TAHUN / UJIAN PENILAIAN & PENCAPAIAN MURID 3 (UPPM3) 22hbNov 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 2010

3. Tarikh Penghantaran Markah PBS ke LPM Ogos 2010


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KEY PERFORMANCE INDICATOR (KPI)(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)TARGET MATA PELAJARAN MENGIKUT PANITIA(Head Count Pencapaian Keseluruhan Mata Pelajaran)

MATA PELAJARAN MATEMATIK

TINGKATAN TINGKATAN 3

4 3 2

Perkara

A B C

Bil % Bil % Bil % Bil

a 18 1 5.56 8 44.44 8 44.44

b 30 1 3.33 10 33.33 13 43.33

c 30 1 3.33 10 33.33 13 43.33

dOTI1 = TOV + (ETR - TOV)/3

30 3 8.89 11 42.22 11 33.33

e OTI2 = TOV + (ETR -TOV)2/3 30 4 18.89 11 95.56 10 81.11

f ETR (kiraan) 30 6 20.00 12 60.00 8 13.33

g ETR (pindaan) 30 9 30.00 14 46.67 3 6.43

h Perbezaan - 3 10.00 2 -13.33 (5) -6.90

Disediakan oleh Disahkan oleh

.. ..Ketua Panitia Guru Penolong Kanan 1/ Guru Kanan Mata Pelajaran

MATEMATIK SMK SRI PERHENTIAN, 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)

M1 1. LINES AND ANGLES II 1.1.1 1 4

1.1.2 2 4

1.1.3 2 3

1.1.4 2 3

1.1.5 3 2

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

Bidang Pembelajaran (LearningSpecifications)

Aras(Level)

StandardMinimum (s)

Identify:a) transversalsb) corresponding anglesc) alternate anglesd) interior angles.

1.1 Understand and use propertiesof angles associated withtransversal and parallel lines.

Determine that for parallel lines:a) corresponding angles are equalb) alternate angles are equalc) sum of interior angles is 180.

Find the values of:a) corresponding anglesb) alternate angles

c) interior anglesassociated with parallel lines.Determine if two given lines are parallel based onthe properties of angles associated withtransversals.Solve problems involving properties of angles

associated with transversals


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M2 POLYGONS II 2.1.1Determine if a given polygon is a regular polygon.

1 4

2.2.2 1 4

2.2.3Sketch regular polygons.

2 4

2.2.4 2 3

2.2.5 2 3



Aras(Level)

StandardMinimum (s)

2.1 Understand the concepts ofregular polygons.

Find:a) the axes of symmetryb) the number of axes of symmetry of a polygon.

Draw regular polygons by dividing equally the angle atthe centre.Construct equilateral triangles, squares and regularhexagons.


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M3 2.2.1 1 3

2.2.2 2 3

2.2.3 Determine the sum of the interior angles of polygons. 2 32.2.4 Determine the sum of the exterior angles of polygons. 2 3



Aras(Level)

StandardMinimum (s)

2.2 Understand and use the knowledgeof exterior and interior angles ofpolygons.

Identify the interior angles and exterior angles of apolygon.

Find the size of an exterior angle when the interiorangle of a polygon is given and vice versa.


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M4 2.2.5 2 3

2.2.6 3 2

Penyemakkan dan penandaan Penyemakkan dan penandaan 1

Penyemakkan dan penandaan Penyemakkan dan penandaan 2 1


Aras(Level)

StandardMinimum (s)

2.2 Understand and use the knowledgeof exterior and interior angles ofpolygons.

Find:a) the size of an interior angle of a

regular polygon given the number of sides.b) the size of an exterior angle of a

regular polygon given the number of sides.c) the number of sides of a regular

polygon given the size of the interior or exterior angle.

Solve problems involving angles andsides of polygons


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M5 3.1.1 Identify a diameter of a circle as an axis of symmetry 1 3

3.1.2 2 3

3.1.3 3 2

Penyemakkan dan penandaan Penyemakkan dan penandaan 1

Penyemakkan dan penandaan Penyemakkan dan penandaan 2 2


Aras(Level)

StandardMinimum (s)

3. CIRCLES II

3.1Understand and use propertiesof circles involving symmetry, chordand arcs

Determine that:a) a radius that is perpendicular to a chord divides thechord into two equal parts and vice versa.b) perpendicular bisectors of two chords intersect atthe centre.c) two chords that are equal in length are equidistantfrom the centre and vice versa.d) chords of the same length cut arcs of the samelength.

Solve problems involving symmetry, chords and arcs

of circles.


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M6 3.2.1 1 2

3.2.2 2 2

3.2.3 2 2

3.2.4 2 3

3.2.5 2 3

3.2.6 3 3



Aras(Level)

StandardMinimum (s)

3.2 Understand and use properties ofangles in circles.

i. Identify angles subtended by an arc at the centreand at the circumference of a circle.ii. Determine that angles subtended at thecircumference by the same arc are equaliii. Determine that angles subtended: a) at thecircumference b) at the centre by arcs of the samelength are equaliv. Determine the relationship between angle at thecentre and angle at the circumference subtended byan arc.v. Determine the size of an angle subtended at thecircumference in a semicircle.

vi. Solve problems involving angles subtended at thecentre and angles at the circumference of circles.


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M7 3.3.1 i. Identify cyclic quadrilaterals 1 3

3.3.2 1 2

3.3.3 2 2

3.3.4 1 2

3.3.5 2 2

3.3.6 3 1

3.3.7 vii. Solve problems involving circles. 3 1



Aras(Level)

StandardMinimum (s)

3.3 Understand and use the conceptsof cyclic quadrilaterals

ii. Identify interior opposite angles of cyclicquadrilaterals.iii. Determine the relationship between interioropposite angles of cyclic quadrilateralsiv. Identify exterior angles and the correspondinginterior opposite angles of cyclic quadrilateralsv. Determine the relationship between exterior anglesand the corresponding interior opposite angles ofcyclic quadrilateralsvi. Solve problems involving angles of cyclic

quadrilaterals


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M8 STATISTICS II 4.1.1 i. Obtain and interpret information from pie charts 1 2

4.2.2 ii. Construct pie charts to represent data. 2 1

4.3.3 iii. Solve problems involving pie charts 3 2

4.4.4 iv. Determine suitable representation of data. 2 2



Aras(Level)

StandardMinimum (s)

4.1 Represent and interpret data inpie charts to solve problems.


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1 KEY PERFORMANCE INDICATOR (KPI)



M10 4.2.1 2 2

4.2.2 2 2

4.2.3 Determine the median for sets of data. 2 24.2.4 Determine the median of data in frequency tables. 2 2

4.2.5 2 3

4.2.6 3 3



Aras(Level)

StandardMinimum (s)

4.2 Understand and use the conceptsof mode, median and mean to solveproblems.

Determine the mode of:a) sets of data.b) data given in frequency tables.

Determine the mode and the respective frequencyfrom pictographs, bar charts, line graphs and piecharts.

Calculate the mean of:a) sets of datab) data in frequency tables

Solve problems involving mode, median

and mean.


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M9 5. INDICES 5.1.1 2 2

5.1.2 2 2

5.1.3 Express numbers in index notation 2 5



Aras(Level)

StandardMinimum (s)

Express repeated multiplication as an and vice versa.

5.1 Understand the concepts ofindices.

Find the value of an .


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M11 5.2.1 2 3

5.2.2 2 3

5.2.3 2 3

5.3.1 2 3

5.3.2 2 3



Aras(Level)

StandardMinimum (s)

5.2 Perform computations involvingmultiplication of numbers in index.

Verify am x an = am+n

Simplify multiplication of:a) numbersb) algebraic termsexpressed in index notation with the same base.

Simplify multiplication of:a) numbersb) algebraic termsexpressed in index notation with different bases.

5.3 Perform computation involving

division of numbers in index notationVerify am an = am-n

Simplify division of:a) numbersb) algebraic terms expressed in index notation

with the same base.


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M12 5.4.1 2 3

5.4.2 3 5

5.4.3 3 5

5.4.5 3 5



Aras(Level)

StandardMinimum (s)

5.4 Perform computations involvingraising numbers and algebraic terms inindex notation to a power.

Derive (am )n = a mn .

Simplify:a) numbersb) algebraic termsexpressed in index notation raised to a power

Simplify multiplication and division of:a) numbersb) algebraic terms

expressed in index notation with different basesraised to a power.Perform combined operations involving multiplication,division, and raised to a power on:

a) numbersb) algebraic terms.


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M13 5.5.1 2 2

5.5.2 2 2

5.5.3 2 2

5.6.1 2 2

5.6.2 2 2

5.6.3 2 4

5.6.4 2 2

5.7.1 3 2

5.7.2 3 2



Aras(Level)

StandarMinimum

5.5 Perform computations involvingnegative indices.

i. . Verify a-n =1/an

State a-n =1/an and vice versa.Perform combined operations of multiplication,division andraising to a power involving negativeindices on:a) numbersb) algebraic terms.

5.6 Perform computations involvingfractional indices. Verify a

1/n =na

State a1/n = na and vice versa.Find the value of a1/n = naState an as:

a) (am )1/n or (an )1/mb) nam or man

v. Perform combined operations of multiplication,division and raising to a power involving fractionalindices on:a) numbersb) algebraic terms.Find the value of a m/n

5.7 Perform computation involving lawsof indices.

i. Perform multiplication, division, raised to a power orcombination of these operations on several numbersexpressed in index notation.ii. Perform combined operations of multiplication,division and raised to a power involving positive,negative and fractional indices.


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M14 6 ALGEBRAIC EXPRESSIONS III 6.1.1 Expand single brackets. 2 2

6.1.2 Expand two brackets. 2 2

6.2.1 State factors of an algebraic term. 2 2

6.2.2 2 2

6.2.3 3 2

6.2.4 Factorise and simplify algebraic fractions. 3 3



Aras(Level)

StandardMinimum (s)

6.1 Understand and use theconcept of expanding brackets.

6.2 Understand and use the concept offactorisation of algebraicexpressions to solve problems.

State common factors and the HCF for severalalgebraic terms.Factorise algebraic expressions:

a) using common factorb) the difference of two squares.


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1 KEY PERFORMANCE INDICATOR (KPI)



M15 6.3.1 2 3

6.3.2 2 3

6.3.3 2 3



Aras(Level)

StandardMinimum (s)

6.3 Perform additionand subtraction onalgebraic fractions.

Add or subtract two algebraic fractions with the samedenominator.

Add or subtract two algebraic fractions with onedenominator as a multiple of the other denominator.Add or subtract two algebraic fractions withdenominators:a) without any common factorb) with a common factor.


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M16 6.4.1 2 3

6.4.2 2 3

6.4.3 3 2



Aras(Level)

StandardMinimum (s)

6.4 Perform multiplication and divisionon algebraic fractions.

Multiply two algebraic fractions involving denominatorwith:

a) one termb) two terms.

Divide two algebraic fractions involving denominatorwith:

a) one termb) two terms

Perform multiplication and division of two algebraicfractions using factorization involving common factorsand the different of two squares.


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M17 7.ALGEBRAIC FORMULAE 7.1.1 1 3

7.1.2 1 3

7.1.3 2 2

7.2.1 2 3

7.2.2 Identify the subject of a given formula 1 3

7.2.3 2 3

7.2.4 2 2

7.2.5 Solve problems involving formulae. 3 2



Aras(Level)

StandardMinimum (s)

Determine if a quantity in a given situation is avariable or a constant.

7.1 Understand the concepts ofvariables and constants.

Determine the variable in a given situation andrepresent it with a letter symbol.Determine the possible values of a variable in a givensituation.

7.2 Understand the concepts offormulae to solve problems.

Write a formula based on a given:a) statementb) situation.

. Express a specified variable as the subject of aformula involving:

a) one of the basic operations: +, , x, b) powers or rootsc) combination of the basic operations and

powers or roots.Find the value of a variable when it is:

a) the subject of the formulab) not the subject of the formula


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M18 8. SOLID GEOMETRY III 8.1.1 1 0

8.1.2 2 3

8.1.3 2 2

8.1.4 2 2

8.1.5 2 2

8.1.6 3 2

8.1.7 3 2

8.1.8 3 2

8.1.9 Calculate volume of liquid in a ontainer. 3 3

8.1.10 3 2



Aras(Level)

StandardMinimum (s)

Derive the formula for volume of:a) prismsb) cylinders.

8.1 Understand and use theconcepts of volumes of right prismsand right circular cylinders to solveproblems.

Calculate the volume of a right prism in cubic unitsgiven the height and:

a) the area of the baseb) dimensions of the base.

Calculate the height of a prism given the volume andthe area of the base.Calculate the area of the base of a prism given thevolume and the height.Calculate the volume of a cylinder in cubic units given:

a) area of the base and the eight.b) radius of the base and he height f the cylinder.Calculate the height of a cylinder, given the volume ndthe radius of the base.Calculate the radius of the ase of a cylinder given theolume and the height.Convert volume in one metric nit to another:a) mm3, cm3 and m3b) cm3, ml and l .

Solve problems involving volumes of prisms andcylinders.


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M19 8.2.1 1 0

8.2.2 2 3

8.2.3 3 2

8.2.4 3 2

8.2.5 2 3

8.2.6 3 2

8.2.7 3 2

8.2.8 3 2



Aras(Level)

StandardMinimum (s)

8.2 Understand and se the concept fvolumes ofright pyramids and right circular conesto solve problems.

Derive the formula for the volume of:a) pyramidsb) cones.

Calculate the volume of pyramids in mm3, cm3 andm3, given the height and:

a) area of the baseb) dimensions of base.

Calculate the height of a pyramid given the volumeand the dimension of the base.Calculate the area of the base of a pyramid given thevolume and the height.

Calculate the volume of a cone in mm3, cm3 and m3,given the height and radius of the base.Calculate the height of a cone, given the volume andthe radius of the base.Calculate the radius of the base of a cone given thevolume and the height.Solve problems involving volumes of pyramids andcones.


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M20 8.3.1 2 3

8.3.2 3 3

8.3.3 Solve problems involving volumes of spheres. 3 2

8.4.1 Calculate the volume of a composite solid. 3 3

8.4.2 Solve problems involving volumes of composite solids. 3 2



Aras(Level)

StandardMinimum (s)

8.3 Understand and use the concept ofvolumes of sphere to solveproblems.

Calculate the volume of a sphere given the radius ofthe sphere.

Calculate the radius of a sphere given the volume ofthe sphere.

8.4 Apply the concept of volumes tosolve problems involving compositesolids.


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M21 9 SCALE DRAWINGS III 9.1.1 2 3

9.1.2 2 3

9.1.3 2 3

9.1.4 Redraw shapes on grids of different sizes. 2 3

9.1.5 Solve problems involving scale drawings. 3 210 TRANSFORMATIONS II 10.1.1 Identify if given shapes are similar. 1 4

10.1.2 2 3



Aras(Level)

StandardMinimum (s)

Sketch shapes:a) of the same size as the objectb) smaller than the objectc) larger than the object using grid papers.

9.1 Understand theconcepts of scaledrawings.

Draw geometric shapes according to scale 1 : n,where n = 1, 2, 3, 4, 5 , , .

Draw composite shapes, according to a given scalemusing:a) grid papersb) blank papers.

10.1 Understand and use the conceptsof similarity.

Calculate the lengths of unknown sides of two similarshapes.


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M22 10.2.1 Identify an enlargement. 1 2

10.2.2 2 3

10.2.3 2 4

10.2.4 2 4

10.2.5 Determine the properties of enlargement. 2 2

10.2.6 2 3

10.2.7 2 3

10.2.8 2 3

10.2.9 Solve problems involving enlargement. 3 2



Aras(Level)

StandardMinimum (s)

10.2 Understand and use the conceptsof enlargement.

Find the scale factor, given the object and its image ofan enlargement when:a) scale factor > 0b) scale factor < 0.Determine the centre of enlargement, given the objectand its image.Determine the image of an object given the centre ofenlargement and the scale factor.

Calculate the:

a) scale factorb) the lengths of sides of the imagec) the lengths of sides of the object of an

enlargement.

Determine the relationship between the area of theimage and its object.Calculate the:

a) area of imageb) area of objectc) scale factorof an enlargement.


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M23 11. LINEAR EQUATIONS II 11.1.1 1 4

11.1.2 2 3

11.1.3 2 3

11.1.4 3 3

11.2.1 2 3

11.2.2 3 3

11.2.3 3 2



Aras(Level)

StandardMinimum (s)

Determine if an equation is a linear equation in twovariables.

11.1 Understand and use theconcepts of linearequations in two variables.

Write linear equations in two variables from giveninformation.

Determine the value of a variable given the othervariables.Determine the possible solutions for a linear equationin two variables.

11.2 Understand and use the conceptsof two Simultaneous linear equations intwo variables to solve problems.

Determine if two given equations are simultaneouslinear equations.

Solve two simultaneous linear equations in twovariables bya) substitutionb) eliminationSolve problems involving two simultaneous linearequations in two variables.


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M24 12. LINEAR INEQUALITIE S 12.1.1 1 3

12.1.2 1 4

12.1.3 2 4

12.2.1 Determine if a given relationship is a linear inequality. 1 3

12.2.2 2 4

12.2.3 2 4

12.2.4 3 2



Aras(Level)

StandardMinimum (s)

Identify the relationship:a) greater thanb) less than

based on given situations.12.1 Understand and use theconcepts of inequalities.

Write the relationship between two given numbersusing the symbol > or h;b) x < h;c) x h;d) x h.

Represent a linear inequality:a) x > h;b) x < h;c) x h;d) x h.

on a number line and vice versa.Construct linear inequalities using symbols:

a) > or < b) or

from given information.


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M25 12.3.1 2 2

12.3.2 2 2

12.3.3 2 4

12.4.1 2 2

12.4.2 2 2

12.4.3 2 3

12.5.1 2 3

12.5.2 2 2

12.5.3 Solve two simultaneous linear inequalities. 3 2



Aras(Level)

StandardMinimum (s)

12.3 Perform computations involvingaddition, subtraction, multiplication anddivision on linear inequalities.

State a new inequality for a given inequality when anumber is:

a) added tob) subtracted from

both sides of the inequalities.State a new inequality for a given inequality when bothsides of the inequality are:

a) multiplied by a numberb) divided by a number.

Construct inequalitiesa) x + k > m + kb) x k > m k

c) kx > kmd) >from given information.

12.4 Perform computations to solveinequalities in one variable.

Solve a linear inequality by:a) adding a numberb) subtracting a number

on both sides of the inequality.Solve a linear inequality by

a) multiplying a numberb) dividing a number

on both sides of the inequality.Solve linear inequalities in one variable using acombination of operations.

12.5 Understand the concepts ofsimultaneous linearinequalities in one variable.

Represent the common values of two simultaneouslinear inequalities on anumber line.

Determine the equivalent inequalities for two givenlinear inequalities.


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M26 13. GRAPHS OF FUNCTIONS 13.1.1 1 3

13.1.2 1 2

13.1.3 2 3

13.2 Draw and use graphs of functions. 13.2.1 Construct tables of values for given functions. 2 213.2.2 Draw graphs of functions using given scale. 3 2

13.2.3 2 1

13.2.4 Solve problems involving graphs of functions. 3 1



Aras(Level)

StandardMinimum (s)

State the relationship between two variables based ongiven information.

13.1Understand and use theconcepts of functions.

Identify the dependent and independent variables in agiven relationship involving two variables.Calculate the value of the dependent variable, giventhe value of the independent variable.

Determine from a graph the value of y, given the valueof x and vice versa.


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M27 14.1.1 1 3

14.1.2 Calculate the rate given two different quantities. 2 2

14.1.3 2 2

14.1.4 2 3

14.1.5 Solve problems involving rate. 3 2

14.2.1 Identify the two quantities involved in speed. 1 2

Calculate and interpret speed. 2 3

2 3

2 3

3 2



Aras(Level)

StandardMinimum (s)

14. RATIO, RATE AND PROPORTIONII

Determine the rate involved in given situations andidentify the two quantities involved.

14.1 Understand the concepts ofrates and perform computationsinvolving rate.

Calculate a certain quantity given the rate and theother quantity.Convert rates from one unit of measurement toanother.

14.2 Understand and use the conceptof speed.

Calculate:a) the distance, given the speed and the timeb) the time, given the speed and the distance

Convert speed from one unit of measurement toanother.Differentiate between uniformspeed and non-uniformspeed.


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M28 14.3.1 Calculate the average speed in various situations. 2 2

14.3.2 2 2

14.3.3 Solve problems involving speed and average speed. 3 2

14.4.1 Identify the two quantities involved in acceleration. 1 2

14.4.2 Calculate and interpret acceleration. 2 2



Aras(Level)

StandardMinimum (s)

14.3 Understand and use the conceptsof average speed.

Calculate:a) the distance, given the average speed and the

time.b) the time, given the average speed and the

distance.

14.4 Understand and use the conceptsof acceleration.


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15. TRIGONOMETRY 15.1.1 1 3

15.1.2 Determine the tangent of an angle. 2 3

15.1.3 2 3

15.1.4 3 2

15.2.1 Determine the sine of an angle. 2 3

15.2.2 2 3

15.2.3 3 2

15.3.1 Determine the cosine of an angle. 2 3

15.3.2 2 3

15.3.3 3 2



Aras(Level)

StandardMinimum (s

Identify the:a) hypotenuseb) the opposite side and the adjacent side with

respect to one of the acute angles.15.1 Understand and use tangent ofan acute angle in a right-angledtriangle.

Calculate the tangent of an angle given the lengths ofsides of the triangle.

Calculate the lengths of sides of a triangle given thevalue of tangent and the length of another side.

15.2 Understand and use sine of anacute angle in a right-angled triangle.

Calculate the sine of an angle given the lengths ofsides of the triangle.Calculate the lengths of sides of a triangle given thevalue of sine and the length of another side.

15.3 Understand and use cosine of anacute angle in a right-angled triangle.

Calculate the cosine of an angle given the lengths ofsides of the triangle.Calculate the lengths of sides of a triangle given thevalue of cosine and the length ofanother side.


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15.4.1 2 3

15.4.2 2 4

15.4.3 2 3

15.4.3 2 3

15.4.4 2 3

15.4.5 Solve problems involving trigonometric ratios. 3 2



Aras(Level)

StandardMinimum (s)

15.4 Use the values of tangent, sineand cosine to solve problems.

Calculate the values of other trigonometric ratiosgiven the value of a trigonometric ratioConvert the measurement of angles from:

a) degrees to degrees and minutes.b) degrees and minutes to degrees.

Find the value of:a) tangentb) sinec) cosine

of 30o, 45o and 60o without using scientific calculator.Find the value of:

a) tangent

b) sinec) cosineusing scientific calculator.Find the angles given the values of:

a) tangentb) sinec) cosine

using scientific calculators.

matematik tingkatan 3_final

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