Matematik Tambahan Tingkatan 4

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 MASHHOR. GURU PENOLONG KANAN 1 TN HJ AB. HAMID BIN HJ BUKHAIRAH. BIDANG MATAPELAJARAN

SAINS DAN MATEMATIK.

PANITIA

MATEMATIK

MATAPELAJARAN

MATEMATIK TAMBAHAN

TINGKATAN / TAHUN

TINGKATAN 4

GURU Guru Kanan MP Ketua Panitia Guru Mengajar

PN NURHIDAYAH LIM BT ABDULLAH EN NG TENG HO EN NG TENG HO

1

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 (UPPM2)29hb April 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 2M 1. Ujian Penapisan 2. Ujian Pelepasan 1 3. Ujian Pelepasan 2

Tiada Tiada Tiada

PROTIM Thaun 4 dan 6 1. Pra-Ujian 2. Psaca Ujian

Tiada Tiada

PELAKSANAAN PENTAKSIRAN BERASASKAN SEKOLAH (PBS) 1. Taklimat Calon 2. Jangka Masa Pelaksanaan 3. Tarikh Penghantaran Markah PBS ke LPM

15hb Jan 2009 Jan 2009 ~ Jul 2010 Ogos 2010 2

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

MATA PELAJARAN

MATEMATIK TAMBAHAN

TINGKATAN

TINGKATAN 4

4

3

A Perkara

a b c d

Peperiksaan SPM/PMR/UPSR (Tahun terbaik) 2008 Peperiksaan Akhir Tahun Tingkatan / Tahun lepas TOV (Peperiksaan Akhir Tahun Tingkatan / Tahun lepas OTI1 = TOV + (ETR - TOV)/3

Jum. Pelajar

Bil

2

B %

Bil

1

C %

Bil

D %

Bil

%

18

1

5.56

8

44.44

8

44.44

-

30

1

3.33

10

33.33

13

43.33

6

30

1

3.33

10

33.33

13

43.33

30

3

8.89

11

42.22

11

0 G/E

LULUS Bil -

% 17

94.44

20.00

30

100.00

6

20.00

30

100.00

33.33

5

18.33

29

128.89

43.33

29

291.11

Bil

GP %

1

5.56

5.60

-

-

3.40

-

-

6.60

1

0.36

3.00

1

0.71

2.60

e

OTI2 = TOV + (ETR -TOV)2/3

30

4

18.89

11

95.56

10

81.11

3

f

ETR (kiraan)

30

6

20.00

12

60.00

8

13.33

2

15.00

28

186.67

2

1.07

2.20

g

ETR (pindaan)

30

9

30.00

14

46.67

3

6.43

3

46.67

29

62.14

1

1.61

1.30

h

Perbezaan

-

3

-13.33

(5)

-6.90

1

31.67

1

-124.52

10.00

2

(1)

0.54

Disediakan oleh

Disahkan oleh

Disahkan oleh

……………………………….. Ketua Panitia MATEMATIK TAMBAHAN

……………………………….. Guru Penolong Kanan 1/ Guru Kanan Mata Pelajaran SMK SRI PERHENTIAN PONTIAN JOHOR.

……………………………….. Pengetua / Guru Besar SMK SRI PERHENTIAN PONTIAN JOHOR.

3

-0.90

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

GURU MENGAJAR TINGKATAN JANGKA MASA

Item Minggu W1

Bidang Pembelajaran (Learning Specifications) 1.1       Understand the concept of relations

Penyemakkan dan penandaan Penyemakkan dan penandaan

Kod HSP Hasil Pembelajaran (Learning Outcomes) 1.1.1

Represent relations using arrow diagrams, ordered pairs,  graphs

Aras (Level)

Standard Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

1

5

3

15

0

Discuss the idea of set and introduce set notation.

1.1.2

 Identify domain, codomain, object, image and range of a  relation.

2

4

2

8

0

Use pictures, role-play and computer software to introduce the concept of relations

1.1.3

Classify a relation shown on a mapped diagram as: one to one,  many to one, one to many or many to many relation.

3

3

1

3

0

0 26

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

4

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

Kod HSP Hasil Pembelajaran (Learning Outcomes)

W2

1.2       Understand the concept of  functions.

1.2.1

Recognise functions as a special relation.

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

1

5

3

15

0

2

4

2

8

0

Express functions using function notation.

1.2.2

Penyemakkan dan penandaan Penyemakkan dan penandaan

1.2.3

Determine domain, object, image and range of a function.

2

4

2

8

0

1.2.4

Determine the image of a function given the object and vice versa.

3

3

1

3

0

0 34

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

5

Represent functions using arrow diagrams, ordered pairs or graphs. e.g. f : x → 2x f (x) = 2x "f : x → 2x" is read as "function f maps x to 2x". f (x) = 2x is read as “2x is the image of x under the function f ”. Include examples of functions that are not mathematically based. Examples of functions include algebraic (linear and quadratic), trigonometric and absolute value. Define and sketch absolute value functions. Use graphing calculators and computer software to explore the image of functions.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

Kod HSP Hasil Pembelajaran (Learning Outcomes)

W3

1.3 Understand the concept of composite functions.

1.3.1 1.3.2 1.3.3

Determine the image of composite functions given the object and vice versa. Determine one of the functions in a given composite function given the other related function.

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

2

3

2

6

0

2

3

2

6

0

3

2

1

2

0

Find the object by inverse mapping given its image and function.

2

3

2

8

0

1.4.2

Determine inverse functions using algebra.

3

2

1

2

0

1.4.3

Determine and state the condition for existence of an inverse function.

3

2

1

2

0

0 26

0 0

1.4 Understand the concept of inverse 1.4.1 functions.

Penyemakkan dan penandaan Penyemakkan dan penandaan

Determine composition of two functions.

Standard Aras (Level) Minimum (s)

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

6

Involve algebraic functions only. Use arrow diagrams or algebraic method to determine composite functions. Images of composite functions include a range of values. (Limit to linear composite functions).

Limit to algebraic functions. Exclude inverse of composite functions. Use sketches of graphs to show the relationship between a function and its inverse. Emphasise that inverse of a function is not necessarily a function.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

Kod HSP Hasil Pembelajaran (Learning Outcomes)

W4

2.1 Understand the concept of quadratic equation and its roots.

2.1.1

2.1.2 2.1.3

Penyemakkan dan penandaan Penyemakkan dan penandaan

Recognise a quadratic equation and express it in general form. Determine whether a given value is the root of a quadratic equation by a) substitution; b) inspection. Determine roots of quadratic equations by trial and improvement method.

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

1

5

3

15

0

Use graphing calculators or computer software such as the Geometer’s Sketchpad and spreadsheet to explore the concept of quadratic equations.

1

5

3

15

0

Questions for 1.2(b) are given in the form of (x + a)(x + b) = 0; a and b are numerical values.

1

4

3

12

0

0 42

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

7

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

Kod HSP Hasil Pembelajaran (Learning Outcomes)

W5

2.2 Understand the concept of quadratic equations

2.2.1

Determine the roots of a quadratic equation by a) factorisation; b) completing the square c) using the formula.

2

6

2

12

0

2.2.2

Form a quadratic equation from given roots.

2

5

2

10

0

0 22

0 0

Penyemakkan dan penandaan Penyemakkan dan penandaan

Standard Aras (Level) Minimum (s)

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

0.00

8

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities) Discuss when (x-p)(x-q)= 0, hence x – p = 0 or x – q = 0. Include case when p = q. Derivation of formula for 2.1c is not required. If x=p and x=q are the roots, then the quadratic equation is (xp)(x-q)=0 , that is x²-(p+q)x+pq =0. Involve the use of α+β:= and αβ= where α and β are roots of the quadratic equation ax2+bx+c = 0

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

Kod HSP Hasil Pembelajaran (Learning Outcomes)

w6

2.3 nderstand and use the conditions for quadratic equations to have i. two different roots; ii. two equal roots; iii. no roots.

2.3.1

Determine types of roots of quadratic equations from the value of b²-4ac

2

5

2

10

0

2.3.2

Solve problems involving b²-4ac in quadratic equations to: a) find an unknown value; b) derive a relation.

3

6

1

6

0

0 16

0 0

Penyemakkan dan penandaan Penyemakkan dan penandaan

Standard Aras (Level) Minimum (s)

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

0.00

9

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities) b²-4ac > 0 b²-4ac = 0 b²-4ac < 0 Explain that "no roots" means "no real roots".

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

Kod HSP Hasil Pembelajaran (Learning Outcomes)

w7

3.1 Understand the concept of quadratic functions and their graphs.

3.1.1

3.1.2

Penyemakkan dan penandaan Penyemakkan dan penandaan

Recognise quadratic functions. Plot quadratic function graphs a) based on given tabulated values; b) by tabulating values based on given functions.

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

1

4

3

12

0

Use graphing calculators or computer software such as Geometer’s Sketchpad to explore the graphs of quadratic functions.

1

4

3

12

0

Use examples of everyday situations to introduce graphs of quadratic functions.

3.1.3

Recognise shapes of graphs of quadratic functions.

2

3

2

6

0

3.1.4

Relate the position of quadratic function graphs with types of roots for f (x) = 0.

2

4

2

8

0

0 38

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

10

Discuss cases where a > 0 and a < 0 for f(x) = a x2 + bx + c = 0

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

Kod HSP Hasil Pembelajaran (Learning Outcomes)

W8

3.2 Find the maximum and minimum values of quadratic functions.

3.2.1

Penyemakkan dan penandaan Penyemakkan dan penandaan

Determine the maximum or minimum value of a quadratic function by completing the square.

Standard Aras (Level) Minimum (s) 3

10

Pencapaian (a)

Pemberat (w)

1

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

Prestasi Standard (sw) 10

0

0 10

0 0

0.00

11

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities) Use graphing calculators or dynamic geometry software such as the Geometer’s Sketchpad to explore the graphs of quadratic functions.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

W9

Bidang Pembelajaran (Learning Specifications)

3.3 Sketch graphs of quadratic functions.

3.4 Understand and use the concept of quadratic inequalities.

Penyemakkan dan penandaan Penyemakkan dan penandaan

Kod HSP Hasil Pembelajaran (Learning Outcomes)

3.3.1

3.4.1

Sketch quadratic function graphs by determining the maximum or minimum point and two other points

Determine the ranges of values of x that satisfies quadratic inequalities.

Standard Aras (Level) Minimum (s)

3

3

5

Pencapaian (a)

Pemberat (w)

3

6

2

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

Prestasi Standard (sw)

15

0

12

0

0 27

0 0

0.00

12

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities) mphasise the marking of maximum or minimum point and two other points on the graphs drawn or by finding the axis of symmetry and the intersection with the y-axis. Use graphing calculators or dynamic geometry software such as the Geometer’s Sketchpad to reinforce the understanding of graphs of quadratic functions. Determine other points by finding the intersection with the xaxis (if it exists). Use graphing calculators or dynamic geometry software such as the Geometer’s Sketchpad to explore the concept of quadratic inequalities. Emphasise on sketching graphs and use of number lines when necessary.

1

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

W10

4.1 Solve simultaneous equations in two unknowns: one linear equation and 4.1.1 one non-linear equation.

Solve simultaneous equations using the substitution method.

Penyemakkan dan penandaan Penyemakkan dan penandaan

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

Kod HSP Hasil Pembelajaran (Learning Outcomes)

Standard Aras (Level) Minimum (s)

2

10

Pencapaian (a)

Pemberat (w)

2

Prestasi Standard (sw)

20

0

0 20

0 0

0.00

13

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities) Limit non-linear equations up to second degree only. Use graphing calculators or dynamic geometry software such as the Geometer’s Sketchpad to explore the concept of simultaneous equations.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

W11

Kod HSP Hasil Pembelajaran (Learning Outcomes) 4.1.2

Penyemakkan dan penandaan Penyemakkan dan penandaan

Solve simultaneous equations involving real-life situations.

Standard Aras (Level) Minimum (s) 3

10

Pencapaian (a)

Pemberat (w) 3

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

Prestasi Standard (sw) 30

0

0 30

0 0

0.00

14

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities) Use examples in real-life situations such as area, perimeter and others.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

W12

5.1 Understand and use the concept of indices and laws of indices to solve 5.1.1 problems.

Kod HSP Hasil Pembelajaran (Learning Outcomes)

5.1.2 5.1.3

Penyemakkan dan penandaan Penyemakkan dan penandaan

Find the value of numbers given in the form of: a) integer indices. b) fractional indices. Use laws of indices to find the value of numbers in index form that are multiplied, divided or raised to a power. Use laws of indices to simplify algebraic expressions.

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

1

5

3

15

0

Discuss zero index and negative indices.

1

6

3

18

0

Use computer software such as the spreadsheet to enhance the understanding of indices.

2

4

2

8

0

0 41

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

15

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

W13

5.2 Understand and use the concept of 5.2.1 logarithms and laws of logarithms to solve problems.

Penyemakkan dan penandaan Penyemakkan dan penandaan

Kod HSP Hasil Pembelajaran (Learning Outcomes)

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

Express equation in index form to logarithm form and vice versa.

1

5

3

15

0

5.2.2

Find logarithm of a number.

1

5

3

15

0

5.2.3 5.2.4

Find logarithm of numbers by using laws of logarithms. Simplify logarithmic expressions to the simplest form.

2 2

5 5

2 2

10 10

0 0

0 50

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

16

Use scientific calculators to enhance the understanding of the concept of logarithm. Explain definition of logarithm. N = ax ; loga N = x with a > 0, a ≠ 1. Emphasise that: loga 1 = 0; loga a = 1. Emphasise that: a) logarithm of negative numbers is undefined; b) logarithm of zero is undefined. Discuss cases where the given number is in a) index form b) numerical form. Discuss laws of logarithms

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

W14

5.3 Find the logarithm of a number by changing the base of the logarithm to a 5.3.1 suitable base.

5.4 Solve equations involving indices and logarithms.

Penyemakkan dan penandaan Penyemakkan dan penandaan

Kod HSP Hasil Pembelajaran (Learning Outcomes)

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

Find the logarithm of a number by changing the base of the logarithm to a suitable base.

1

5

3

15

0

5.3.2

Solve problems involving the change of base and laws of logarithms.

2

4

2

8

0

5.4.1

Solve equations involving indices.

2

4

2

8

0

5.4.2

Solve equations involving indices.

3

4

1

4

0

0 35

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

17

Discuss: loga b = 1/ log b a

Equations that involve indices and logarithms are limited to equations with single solution only. Solve equations involving indices by: a) comparison of indices and bases; b) using logarithms.

1

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

Kod HSP Hasil Pembelajaran (Learning Outcomes)

W15

6.1 Find distance between two points.

6.1.1

6.2 Understand the concept of division 6.2.1 of a line segment.

6.3 Find areas of polygons.

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

Find the distance between two points using formula.

1

5

3

15

0

Use examples of real-life situations to find the distance between two points. Use the Pythagoras’ Theorem to find the formula for distance between two points.

Find the midpoint of two given points.

1

4

3

12

0

Limit to cases where m and n are positive.

6.2.2

Find the coordinates of a point that divides a line according to a given ratio m : n.

2

3

2

6

0

Derivation of the formula is not required.

6.3.1

Find the area of a triangle based on the area of specific geometrical shapes.

2

3

2

6

0

6.3.2

Find the area of a triangle by using formula.

2

3

2

6

0

6.3.3

Find the area of a quadrilateral using formula.

2

2

2

4

0

0 49

0 0

Limit to numerical values. Emphasise the relationship between the sign of the value for area obtained with the order of the vertices used. Use dynamic geometry software such as the Geometer’s Sketchpad to explore the concept of area of polygons. 1 x

Penyemakkan dan penandaan Penyemakkan dan penandaan

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

18

x

x

x

  Use 2 y11 y 22 y 33 fory11substitution of coordinates into the formula. Derivation of the formula: (x1y2 + x2y3 + x3y1 – x2y1 – x3y2 – x1y3) is not required. Emphasise that when the area of polygon is zero, the given points are collinear.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

W16

6.4 Understand and use the concept of 6.4.1 equation of a straight line.

Kod HSP Hasil Pembelajaran (Learning Outcomes)

6.4.2 6.4.3 6.4.4 6.4.5 6.4.6 6.4.7

Penyemakkan dan penandaan Penyemakkan dan penandaan

Determine the x-intercept and the y-intercept of a line. Find the gradient of a straight line that passes through two points. Find the gradient of a straight line using the xintercept and y-intercept. Find the equation of a straight line given: a) gradient and one point; b) two points; c) x-intercept and y-intercept. Find the gradient and the intercepts of a straight line given the equation. Change the equation of a straight line to the general form. Find the point of intersection of two lines.

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

1

4

3

12

0

1

4

3

12

0

1

4

3

12

0

2

3

2

6

0

2

3

2

6

0

2

3

2

6

0

2

3

2

6

0

0 60

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

19

Use dynamic geometry software such as the Geometer’s Sketchpad to explore the concept of equation of a straight line.

Answers for learning outcomes 4.4(a) and 4.4(b) must be stated in the simplest form. Involve changing the equation into gradient and intercept form.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

W17

6.5 Understand and use the concept of parallel and perpen¬¬di¬cu¬¬lar 6.5.1 ¬lines.

Kod HSP Hasil Pembelajaran (Learning Outcomes)

6.5.2 6.5.3 6.5.4 6.5.5 6.6 Understand and use the concept of equation of locus involving distance 6.6.1 between two points.

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

2

4

3

12

0

Find the equation of a straight line that passes through a fixed point and parallel to a given line.

2

3

2

6

0

2

4

3

12

0

2

4

2

8

0

2

3

2

6

0

2

5

3

15

0

Use examples of real-life situations to explore equation of locus involving distance between two points.

3

3

3

9

0

Use graphic calculators and dynamic geometry software such as the Geometer’s Sketchpad to explore the concept of parallel and perpen¬¬di¬cu¬¬lar ¬lines.

0 68

0 0

Determine whether two straight lines are perpendicular when the gradients of both lines are known and vice versa. Determine the equation of a straight line that passes through a fixed point and perpendicular to a given line. Solve problems involving equations of straight lines. Find the equation of locus that satisfies the condition if: a) the distance of a moving point from a fixed point is constant; b) the ratio of the distances of a moving point from two fixed points is constant. Solve problems involving loci.

6.6.2

Penyemakkan dan penandaan Penyemakkan dan penandaan

Emphasise that for parallel lines: m1 = m 2. Use examples of real-life situations to explore parallel and perpendicular lines.

Determine whether two straight lines are parallel when the gradients of both lines are known and vice versa.

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

20

Emphasise that for perpendicular lines m 1 m 2 = –1. Derivation of m 1 m 2 = –1 is not required. Use graphic calculator and dynamic geometry software such as Geometer’s Sketchpad to explore the concept of parallel and perpen¬¬di¬cu¬¬lar ¬lines.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

W18

7.1 Understand and use the concept of measures of central tendency to solve 7.1.1 problems.

Kod HSP Hasil Pembelajaran (Learning Outcomes)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

Calculate the mean of ungrouped data.

1

3

3

9

0

7.1.2

Determine the mode of ungrouped data.

1

4

2

8

0

7.1.3

Determine the median of ungrouped data.

1

5

3

15

0

1

3

2

6

0

nvolve uniform class intervals only

1 2

4 4

2 3

8 12

0 0

Derivation of the median formula is not required.

0 58

0 0

7.1.4 7.1.5 7.1.6

Penyemakkan dan penandaan Penyemakkan dan penandaan

Standard Aras (Level) Minimum (s)

Determine the modal class of grouped data from frequency distribution tables. Find the mode from histograms. Calculate the mean of ungrouped data.

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

21

Discuss grouped data and ungrouped data. Use scientific calculators, graphing calculators and spreadsheets to explore measures of central tendency. Students collect data from real-life situations to investigate measures of central tendency.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

W19

Bidang Pembelajaran (Learning Specifications)

Kod HSP Hasil Pembelajaran (Learning Outcomes)

7.1 Understand and use the concept of measures of central tendency to solve 7.1.7 problems. 7.1.8 7.1.9

7.1.10 7.2 Understand and use the concept of measures of dispersion to solve 7.2.1 problems. 7.2.2 7.2.3 7.2.4

Penyemakkan dan penandaan Penyemakkan dan penandaan

Calculate the median of grouped data from cumulative frequency distribution tables.

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

2

3

2

6

0

Estimate the median of grouped data from an ogive. 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. Determine the most suitable measure of central tendency for given data.

2

3

2

6

0

3

2

1

2

0

3

3

1

3

0

Find the range of ungrouped data.

1

4

3

12

0

Find the interquartile range of ungrouped data. Find the range of grouped data. Find the interquartile range of grouped data from the cumulative frequency table.

2 1

3 3

2 3

6 9

0 0

2

3

2

6

0

0 50

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

22

Ogive is also known as cumulative frequency curve.

Involve grouped and ungrouped data.

Determine upper and lower quartiles by using the first principle.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

W20

7.2 Understand and use the concept of measures of dispersion to solve 7.2.5 problems.

Kod HSP Hasil Pembelajaran (Learning Outcomes)

7.2.6 7.2.7

7.2.8

7.2.9

Penyemakkan dan penandaan Penyemakkan dan penandaan

Determine the interquartile range of grouped data from an ogive. Determine the variance of a) ungrouped data; b) grouped data. Determine the standard deviation of: a) ungrouped data b) grouped data. Determine the effects on range, interquartile 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. Compare measures of central tendency and dispersion between two sets of data.

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

2

4

2

8

0

2

3

2

6

0

2

4

2

8

0

3

2

1

2

0

3

2

1

2

0

0 26

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

23

Emphasise that comparison between two sets of data using only measures of central tendency is not sufficient.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

Kod HSP Hasil Pembelajaran (Learning Outcomes)

W21

8.1 Understand the concept of radian.

8.1.1

8.2 Understand and use the concept of 8.2.1 length of arc of a circle to solve problems. 8.2.2

Penyemakkan dan penandaan Penyemakkan dan penandaan

Convert measurements in radians to degrees and vice versa. Determine: a) length of arc; b) radius; and c) angle subtended at the centre of a circle based on given information. Find perimeter of segments of circles.

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

1

6

3

18

0

1

5

3

15

0

2

4

2

8

0

0 41

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

24

Discuss the definition of one radian. “rad” is the abbreviation of radian. Include measurements in radians expressed in terms of π.

Use examples of real-life situations to explore circular measure.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

W22

8.3 Understand and use the concept of area of sector of a circle to solve 8.3.1 problems.

Kod HSP Hasil Pembelajaran (Learning Outcomes)

8.3.2 8.3.3

Penyemakkan dan penandaan Penyemakkan dan penandaan

Determine the: a) area of sector; b) radius; and c) angle subtended at the centre of a circle based on given information. Find the area of segments of circles. Solve problems involving areas of sectors.

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

2

5

2

10

0

2 3

4 4

2 1

8 4

0 0

0 22

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

25

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

W23

9.1 Understand and use the concept of 9.1.1 gradients of curve and differentiation.

Determine the value of a function when its variable approaches a certain value.

1

3

3

9

0

9.1.2

Find the gradient of a chord joining two points on a curve.

1

3

3

9

0

9.1.3

Find the first derivative of a function y = f(x), as the gradient of tangent to its graph.

2

2

2

4

0

9.1.4

Find the first derivative of polynomials using the first principles.

2

2

2

4

0

9.1.5

Deduce the formula for first derivative of the function y = f(x) by induction.

2

2

2

4

0

Determine the first derivative of the function y = axn using formula.

2

2

2

4

0

2

2

2

4

0

2

2

2

4

0

2

2

2

4

0

2

2

2

4

0

2

2

2

4

0

0 54

0 0

Kod HSP Hasil Pembelajaran (Learning Outcomes)

9.2 Understand and use the concept of first derivative of polynomial functions 9.2.1 to solve problems. 9.2.2

9.2.3

9.2.4 9.2.5 9.2.6

Penyemakkan dan penandaan Penyemakkan dan penandaan

Determine value of the first derivative of the function y = axn for a given value of x. Determine first derivative of a function involving: a) addition, or b) subtraction of algebraic terms. Determine the first derivative of a product of two polynomials. Determine the first derivative of a quotient of two polynomials. Determine the first derivative of composite function using chain rule.

Standard Aras (Level) Minimum (s)

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

0.00

26

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities) dea of limit to a function can be illustrated using graphs. Use graphing calculators or dynamic geometry software such as Geometer’s Sketchpad to explore the concept of differentiation The concept of first derivative of a function is explained as a tangent to a curve can be illustrated using graphs. Limit to y = axn; a, n are constants, n = 1, 2, 3. Notation of f '(x) is equivalent to “f prime x”.

when y = f(x), f’ ‘ (x) read as

Limit cases in learning outcomes 2.7 - 2.9 to rules introduced in 2.4 - 2.6

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

W24

9.2 Understand and use the concept of first derivative of polynomial functions 9.2.7 to solve problems.

Kod HSP Hasil Pembelajaran (Learning Outcomes)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

3

2

1

2

0

3

2

1

2

0

3

3

1

3

0

Determine coordinates of turning points of a curve.

2

3

2

6

0

9.3.2

Determine whether a turning point is a maximum or a minimum point.

2

3

2

6

0

9.3.3

Solve problems involving maximum or minimum values.

3

2

1

2

0

0 21

0 0

9.2.8 9.2.9 9.3 Understand and use the concept of maximum and minimum values to solve 9.3.1 problems.

Penyemakkan dan penandaan Penyemakkan dan penandaan

Determine the gradient of tangent at a point on a curve.

Standard Aras (Level) Minimum (s)

Determine the equation of tangent at a point on a curve. Determine the equation of normal at a point on a curve.

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

27

Emphasise the use of first derivative to determine the turning points. Use graphing calculators or dynamic geometry software to explore the concept of maximum and minimum values Exclude points of inflexion. Limit problems to two variables only.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

W25

9.4 Understand and use the concept of 9.4.1 rates of change to solve problems.

Determine rates of change for related quantities.

2

3

2

6

0

9.5 Understand and use the concept of small changes and approximations to 9.5.1 solve problems.

Determine rates of change for related quantities.

2

3

2

6

0

Determine approximate values using differentiation.

2

3

2

6

0

Kod HSP Hasil Pembelajaran (Learning Outcomes)

9.5.2 9.6 Understand and use the concept of 9.6.1 second derivative to solve problems. 9.6.2

Penyemakkan dan penandaan Penyemakkan dan penandaan

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

Determine the second derivative of function y = f (x).

2

3

2

6

0

Determine whether a turning point is maximum or minimum point of a curve using the second derivative.

2

3

2

6

0

0 30

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

28

Limit problems to 3 variables only. Use graphing calculators with computer base ranger to explore the concept of rates of change. Exclude cases involving percentage change.

d2y Introduce f ”(x) = .

d dx

as2 dx ( f ′( x ))

d  dy  or   dx  dx 

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

Kod HSP Hasil Pembelajaran (Learning Outcomes)

W26

10.1 Understand and use the concept of sine rule to solve problems.

10.1.1 10.1.2 10.1.3 10.1.4

Penyemakkan dan penandaan Penyemakkan dan penandaan

Verify sine rule. Use sine rule to find unknown sides or angles of a triangle. Find the unknown sides and angles of a triangle involving ambiguous case. Solve problems involving the sine rule

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

1

4

3

12

0

Use dynamic geometry software such as the Geometer’s Sketchpad to explore the sine rule.

2

4

2

8

0

Include obtuse-angled triangles.

3

3

1

3

0

Use examples of real-life situations to explore the sine rule.

3

3

1

3

0

0 26

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

29

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

EN NG TENG HO

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN

TINGKATAN 4

JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

Kod HSP Hasil Pembelajaran (Learning Outcomes)

W27

10.2 Understand and use the concept of cosine rule to solve problems.

10.2.1 10.2.2 10.2.3 10.2.4

Penyemakkan dan penandaan Penyemakkan dan penandaan

Verify cosine rule. Use cosine rule to find unknown sides or angles of a triangle. Solve problems involving cosine rule Solve problems involving sine and cosine rules.

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

1

5

3

15

0

2

4

2

8

0

2 3

3 3

2 1

6 3

0 0

0 32

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

30

Include obtuse-angled triangles Use dynamic geometry software such as the Geometer’s Sketchpad to explore the cosine rule. Use examples of real-life situations to explore the cosine rule.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

EN NG TENG HO

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN

TINGKATAN 4

JANGKA MASA

Item Minggu W28

Bidang Pembelajaran (Learning Specifications)

Kod HSP Hasil Pembelajaran (Learning Outcomes)

10.3 Understand and use the formula 10.3.1 for areas of triangles to solve problems. 10.3.2

Find the area of triangles using the formula ab sin C 1 or its equivalent 2 Solve problems involving three-dimensional objects.

Penyemakkan dan penandaan Penyemakkan dan penandaan

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

2

6

2

12

0

3

5

1

5

0

0 17

0 0

0.00

31

Use dynamic geometry software such as the Geometer’s Sketchpad to explore the concept of areas of triangles. Use examples of real-life situations to explore area of triangles.

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

EN NG TENG HO

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN

TINGKATAN 4

JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

Kod HSP Hasil Pembelajaran (Learning Outcomes)

W29

11.1 Understand and use the concept of index number to solve problems.

11.1.1

Calculate index number.

1

5

3

15

0

Explain index number

11.1.2

Calculate price index

1

4

3

12

0

Use examples of real-life situations to explore index numbers. Q 0 = Quantity at base time.

11.1.3

Find Q0 or Q 1 given relevant information.

1

4

3

12

0

Q 1 = Quantity at specific time.

0 39

0 0

Penyemakkan dan penandaan Penyemakkan dan penandaan

Standard Aras (Level) Minimum (s)

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

0.00

32

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

KEY PERFORMANCE INDICATOR (KPI)

GURU MENGAJAR

EN NG TENG HO

(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)

TINGKATAN

TINGKATAN 4

JANGKA MASA

Item Minggu

Bidang Pembelajaran (Learning Specifications)

W30

11.2 Understand and use the concept 11.2.1 of composite index to solve problems

Kod HSP Hasil Pembelajaran (Learning Outcomes)

11.2.2 11.2.3

Penyemakkan dan penandaan Penyemakkan dan penandaan

Calculate composite index. Find index number or weightage given relevant information. Solve problems involving index number and composite index.

Standard Aras (Level) Minimum (s)

Pencapaian (a)

Pemberat (w)

Prestasi Standard (sw)

Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)

2

5

2

10

0

Explain weightage and composite index.

2

4

2

8

0

Use examples of real-life situations to explore composite index.

3

4

1

4

0

0 22

0 0

Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2

0.00

33