Matematik Tambahan Tingkatan 5
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KEY PERFORMANCE INDICATOR (KPI) (STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TAHUN
2009
SEKOLAH
SMK DATO ALI HAJI AHMAD
KOD SEKOLAH
JEB6014
PENGETUA / GURU BESAR TN. HAJI MOHD ZINI GURU PENOLONG KANAN 1 BIDANG MATAPELAJARAN
SAINS DAN MATEMATIK
PANITIA
MATEMATIK TAMBAHAN
MATAPELAJARAN
MATEMATIK TAMBAHAN
TINGKATAN / TAHUN
TINGKATAN 5
GURU Guru Kanan MP Ketua Panitia Guru Mengajar
CIK ONG CHUNG SIEAN SITI HASNAH BTE BAHARI
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)
Disediakan oleh
Disahkan oleh
Disahkan oleh
……………………………….. Ketua Panitia MATEMATIK TAMBAHAN
……………………………….. Guru Penolong Kanan 1/ Guru Kanan Mata Pelajaran SMK DATO ALI HAJI AHMAD
……………………………….. Pengetua / Guru Besar SMK DATO ALI HAJI AHMAD
3
0.54
-0.90
KEY PERFORMANCE INDICATOR (KPI) (STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
GURU MENGAJAR
MATEMATIK TAMBAHAN
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w1
1. PROGRESSIONS Understand and use the concept of arithmetic progression.
1.1.1
1.1
1.1.2
1.1.3
1.1.4
1.1.5
Penyemakkan dan penandaan Penyemakkan dan penandaan
Identify characteristics of arithmetic progressions. Determine whether a given sequence is an arithmetic progression. Determine by using formula: a) specific terms in arithmetic progressions, b) the number of terms in arithmetic progressi Find: a) the sum of the first n terms of arithmetic progressions, b) the sum of a specific number of consecutive terms of arithmetic progressions, c) the value of n, given the sum of the first n terms of arithmetic progressions, Solving problems involving arithmetic progressions
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
Aras (Level)
Standard Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
1
5
0
3
15
0
1
5
0
3
15
0
2
5
0
2
10
0
2
5
0
1
5
0
2
5
2
10
0
4
0 55
12 12
0
3
15.27
4
Use examples from real-life situations, scientific or graphing calculators and computer software to explore arithmetic progressions
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w2
1.2 Understand and use the concept of geometric progression.
1.2.1
1.2.2
1.2.3
1.2.4
Penyemakkan dan penandaan Penyemakkan dan penandaan
Identify characteristics of geometric progressions. Determine whether a given sequence is a geometric progression. Determine by using formula: a) specific terms in geometric progressions, b) the number of terms in geometric progressions. Find: a) the sum of the first n terms of geometric progressions, b) the sum of a specific number of consecutive terms of geometric progressions, c) the value of n, given the sum of the first n terms of geometric progressions,
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
1
5
3
15
0
2
10
2
20
0
2
10
2
20
0
0 70
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
5
Use examples from real-life situations, scientific or graphing calculators; and computer software to explore geometric progressions
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w3
1.2 Understand and use the concept of 1.2.6 progression
Kod HSP Hasil Pembelajaran (Learning Outcomes)
1.2.7
Solve problems involving arithmetic progression Solve problems involving geometric progressions
Standard Aras (Level) Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
2
10
2
20
0
3
10
1
10
0
0
Penyemakkan dan penandaan Penyemakkan dan penandaan
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0 30 0.00
6
0 0
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w4
2. LINEAR LAW Understand and use the concept of lines of best fit.
Kod HSP Hasil Pembelajaran (Learning Outcomes)
2.1 2.1.1
2.1.2
2.1.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
Draw lines of best fit by inspection of given data
Write equations for lines of best fit. Determine values of variables from: a) lines of best fit, b) equations of lines of best fit.
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
1
5
3
15
0
2
5
2
10
0
0
0
0 40
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
7
Use examples from real-life situations to introduce the concept of linear law. Use graphing calculators or computer software such as Geometer’s Sketchpad to explore lines of best fit.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w5
2.2 Apply linear law to nonlinear relations
2.2.1
2.2.2
2.2.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
Reduce non-linear relations to linear form. Determine values of constants of non-linear relations given: a) lines of best fit, b) data. Obtain information from: a) lines of best fit, b) equations of lines of best fit.
Standard Aras (Level) Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
1
10
3
30
0
2
10
2
20
0
2
10
2
20
0
0
0
0 70
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
8
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w6
2.3 Problem Solving
2.3.1
Penyemakkan dan penandaan Penyemakkan dan penandaan
Draw lines of best fit by given data and obtain information the graph
Standard Aras (Level) Minimum (s) 3
15
Pencapaian (a)
Pemberat (w) 1
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
Prestasi Standard (sw) 15
0
0 0 0
0 0 0
0 15
0 0
0.00
9
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w7
3. INTEGRATION Understand and use the concept of indefinite integral.
3.1.1
3.1
3.1.2
3.1.3 3.1.4 3.1.5 3.1.6
Penyemakkan dan penandaan Penyemakkan dan penandaan
Determine integrals by reversing differentiation. Determine integrals of ax, where a is a constant and n is an integer, n ≠ –1. Determine integrals of algebraic expressions. Find constants of integration, c, in indefinite integrals Determine equations of curves from functions of gradients. Determine by substitution the integrals of expressions of the form (ax + b), where a and b are constants, n is an integer
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
1
5
3
15
0
1
5
3
15
0
1
5
3
15
0
2
5
2
10
0
2
5
2
10
0
0 80
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
10
Use computer software such as Geometer’s Sketchpad to explore the concept of integration.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Standard Aras (Level) Minimum (s)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w8
3.2 Understand and use the concept of definite integral
3.2.1
Find definite integrals of algebraic expressions.
2
15
2
30
0
3.2.2
Find areas under curves as the limit of a sum of areas
3
10
1
10
0
0 40
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
Pemberat (w)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
Understand and use the
Penyemakkan dan penandaan Penyemakkan dan penandaan
Pencapaian (a)
Prestasi Standard (sw)
Minggu
0.00
11
Use scientific or graphing calculators to explore the concept of definite integrals. Use computer software and graphing calculator to explore areas under curves and the significance of positive and negative values of areas.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w9
3.2 Understand and use the concept of definite integral
Kod HSP Hasil Pembelajaran (Learning Outcomes)
3.2.3
3.2.4
Penyemakkan dan penandaan Penyemakkan dan penandaan
Find volumes of revolutions when region bounded by a curve is rotated completely about the a) x-axis, b) y-axis as the limit of a sum of volumes. Solve problem involving volumes
Standard Aras (Level) Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
3
15
1
15
0
3
15
1
15
0
0 0
0 0
0 30
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
12
Use dynamic computer software to explore volumes of revolutions
1
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w10
4. VECTORS Understand and use the concept of vector.
4.1.1
4.1
4.1.2 4.1.3 4.1.4 4.1.5
Penyemakkan dan penandaan Penyemakkan dan penandaan
Differentiate between vector and scalar quantities. Draw and label directed line segments to represent vectors Determine whether two vectors are equal. Multiply vectors by scalars. Determine whether two vectors are parallel.
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
1
5
3
15
0
1
5
3
15
0
1
5
3
15
0
2
5
2
10
0
0 70
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
13
Use examples from real-life situations and dynamic computer software such as Geometer’s Sketchpad to explore vectors.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w11
4.2 Understand and use the concept of addition and subtraction of vectors
4.2.1
4.2.2
4.2.3
4.2.4 4.2.5 4.2.6
Penyemakkan dan penandaan Penyemakkan dan penandaan
Determine the resultant vector of two parallel vectors. Determine the resultant vector of two non-parallel vectors using: a) triangle law, b) parallelogram law. Determine the resultant vector of three or more vectors using the polygon law Subtract two vectors which are: a) Parallel, b) non-parallel. (v) Represent a vector as a Represent a vector as a combination of other vectors. Solve problems involving addition and subtraction of vectors
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
2
6
2
12
0
2
6
2
12
0
2
6
2
12
0
2
6
2
12
0
3
6
1
6
0
0 66
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
14
Use real-life situations and manipulative materials to explore addition and subtraction of vectors.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w12
4.3Understand and use vectors in the Cartesian plane
4.3.1
4.3.2
Penyemakkan dan penandaan Penyemakkan dan penandaan
a) Express vectors in the form: xi + yj . b )Determine magnitudes of vectors c) Determine unit vectors in given directions d)Add two or more vectors e) Subtract two vectors f) Multiply vectors by scalars g) Perform combined operations on vectors Solve problems involving vectors
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
1
5
3
15
0
1
3
3
9
0
1 1 1 1
5 3 3 5
3 3 3 3
15 9 9 15
0 0 0 0
2
5
2
10
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0 97 0.00
15
0 0
Use computer software to explore vectors in the Cartesian plane
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w13
5. TRIGONOMETRY 5.1Understand the concept of positive and negative 5.1.2 angles measured in degrees and radians.
Represent in a Cartesian plane, angles greater than 360o or 2π radians for: a) positive angles, b) negative angles.
1
5
3
15
0
Use computer software to explore vectors in the Cartesian plane
5.2Understand and use the 5.2.1 six trigonometric functions of any angle
Define sine, cosine and tangent of any angle in a Cartesian plane
1
4
3
12
0
Use dynamic computer software to explore trigonometric functions in degrees and radians
5.2.2
Define cotangent, secant and cosecant of any angle in a Cartesian plane
1
3
3
9
0
5.2.3
Find values of the six trigonometric functions of any angle
2
5
2
10
0
5.2.4
Solve trigonometric equations
2
10
2
20
0
0 66
0 0
Penyemakkan dan penandaan Penyemakkan dan penandaan
Kod HSP Hasil Pembelajaran (Learning Outcomes)
Standard Aras (Level) Minimum (s)
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
0.00
16
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
Use scientific or graphing calculators to explore trigonometric functions of any angle.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
w14
Bidang Pembelajaran (Learning Specifications)
5.3 Understand and use graphs of sine, cosine and tangent functions
Kod HSP Hasil Pembelajaran (Learning Outcomes)
5.3.1
5.3.2 5.3.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
Draw and sketch graphs of trigonometric functions: a) y = c + a sin bx, b) y = c + a cos bx, c) y = c + a tan bx where a, b and c are constants and b > 0 Determine the number of solutions to a trigonometric equation using sketched graphs Solve trigonometric equations using drawn graphs.
Standard Aras (Level) Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
1
10
3
30
0
2
5
2
10
0
2
5
2
10
0
0 50
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
17
Use examples from real-life situations to introduce graphs of trigonometric functions. Use graphing calculators and dynamic computer software such as Geometer’s Sketchpad to explore graphs of trigonometric functions.
1
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w15
5.4 Understand and use basic identities.
5.4.1
5.4.2 5.4.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
Prove basic identities: a) sin²A + cos²A = 1, b) 1 + tan²A = sec²A, c) 1 + cot²A = cosec²A. Prove trigonometric identities using basic identities Solve trigonometric equations using basic identities
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
8
2
16
0
2
8
2
16
0
0
0
0 42
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
18
Use scientific or graphing calculators and dynamic computer software such as Geometer’s Sketchpad to explore basic identities.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w16
5.5 Understand and use addition formulae and double-angle formulae.
5.5.1
5.5.2
5.5.3 5.5.4
Penyemakkan dan penandaan Penyemakkan dan penandaan
Prove trigonometric identities using addition formulae for sin (A ± B), cos (A ± B) and tan (A ± B). Derive double-angle formulae for sin 2A, cos 2A and tan 2A. Prove trigonometric identities using addition formulae and/or double-angle formulae. Solve trigonometric equations
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
5
2
10
0
2
5
2
10
0
2
5
2
10
0
0 40
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
19
Use dynamic computer software such as Geometer’s Sketchpad to explore addition formulae and double-angle formulae.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w17
6. PERMUTATIONS AND COMBINATIONS Understand and use the concept of permutation.
6.1.1
Determine the total number of ways to perform successive events using multiplication rule.
1
5
3
15
0
Use manipulative materials to explore multiplication rule.
6.1.2
Determine the number of permutations of n different objects
1
5
3
15
0
Use real-life situations and computer software such as spreadsheet to explore permutations
1
5
3
15
0
1
5
3
15
0
1
5
3
15
0
0 75
0 0
6.1
6.1.3 6.1.4
6.1.5
Penyemakkan dan penandaan Penyemakkan dan penandaan
Determine the number of permutations of n different objects taken r at a time Determine the number of permutations of n different objects for given conditions. Determine the number of permutations of n different objects taken r at a time for given conditions
Standard Aras (Level) Minimum (s)
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
0.00
20
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w 18
6.2 Understand and use the concept of combination.
6.2.1
6.2.2
Penyemakkan dan penandaan Penyemakkan dan penandaan
Determine the number of combinations of r objects chosen from n different objects. Determine the number of combinations r objects chosen from n different objects for given conditions
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
10
2
20
0
0 0
0 0
0 35
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
21
Explore combinations using real-life situations and computer software.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w 19
7. PROBABILITY Understand and use the concept of probability
Kod HSP Hasil Pembelajaran (Learning Outcomes)
7.1
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
7.1.1
1
5
3
15
0
7.1.2
Determine the number of outcomes of an event.
1
5
3
15
0
1
5
3
15
0
1
5
3
15
0
7.1.4
Penyemakkan dan penandaan Penyemakkan dan penandaan
Pencapaian (a)
Describe the sample space of an experiment.
7.1.3
7.2Understand and use the concept of probability of mutually exclusive events.
Standard Aras (Level) Minimum (s)
Determine the probability of an event Determine the probability of two events: a) A or B occurring, b) A and B occurring.
7.2.1
Determine whether two events are mutually exclusive
1
5
3
15
7.2.2
Determine the probability of two or more events that are mutually exclusive.
1
5
3
15
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0 90 0.00
22
Use real-life situations to introduce probability. Use manipulative materials, computer software, and scientific or graphing calculators to explore the concept of probability.
Use manipulative materials and graphing calculators to explore the concept of probability of independent events. Use computer software to simulate experiments involving probability of independent events.
0 0
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w 20
7.3 Understand and use the concept of probability of independent events
7.3.1 7.3.2 7.3.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
Determine whether two events are independent Determine the probability of two independent events. Determine the probability of three independent events.
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
1
5
3
15
0
2
5
3
15
0
0
0
0 45
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
23
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w 21
8. PROBABILITY DISTRIBUTIONS 8.1Understand and use the concept of binomial distribution.
Kod HSP Hasil Pembelajaran (Learning Outcomes)
8.1.1
8.1.2 8.1.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
List all possible values of a discrete random variable. Determine the probability of an event in a binomial distribution. Plot binomial distribution graphs.
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
1
5
3
15
0
1
5
3
15 0
0 0
0 45
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
24
Use real-life situations to introduce the concept of binomial distribution. Use graphing calculators and computer software to explore binomial distribution
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w 22
8.1Understand and use the concept of binomial distribution.
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)
8.1.4
Determine mean, variance and standard deviation of a binomial distribution
1
10
3
30
0
8.1.5
Solve problems involving binomial distributions.
2
8
2
16
0
0 0
0 0
0 46
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
25
Use real-life situations to introduce the concept of binomial distribution. Use graphing calculators and computer software to explore binomial distribution.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w 23
8.2 Understand and use the concept of normal distribution.
8.2.1
Describe continuous random variables using set notations
1
5
3
15
0
8.2.2
Find probability of z-values for standard normal distribution.
2
10
2
20
0
35
0
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)
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
26
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w 24
8.2 Understand and use the concept of normal distribution.
8.2.3
8.2.4 8.2.5 8.2.6
Penyemakkan dan penandaan Penyemakkan dan penandaan
Convert random variable of normal distributions, X, to standardised variable, Z. Represent probability of an event using set notation. Determine probability of an event Solve problems involving normal distributions
Standard Aras (Level) Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
1
10
3
30
0
1
5
3
15
0
2
5
2
10
0
3
10
1
10
0
0 65
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
27
Use real-life situations and computer software such as statistical packages to explore the concept of normal distributions.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w 25
9. MOTION ALONG A STRAIGHT LINE 9.1Understand and use 9.1.1 the concept of displacement.
Kod HSP Hasil Pembelajaran (Learning Outcomes)
9.1.2 9.1.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
Identify direction of displacement of a particle from a fixed point Determine displacement of a particle from a fixed point. Determine the total distance travelled by a particle over a time interval using graphical 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
1
5
3
15
0
2
5
2
10
0
0
0
0 40
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
28
Use real-life examples, graphing calculators and computer software such as Geometer’s Sketchpad to explore displacement.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w 26
9.2 Understand and use the concept of velocity.
9.2.1
9.2.2 9.2.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
Determine velocity function of a particle by differentiation. Determine instantaneous velocity of a particle Determine displacement of a particle from velocity function by integtration
Standard Aras (Level) Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
2
10
2
20
0
2
10
2
20
0
2
10
2
20
0
0
0
0 60
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
29
Use real-life examples, graphing calculators and dynamic computer software such as Geometer’s Sketchpad to explore the concept of velocity
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w 27
9.3Understand and use the concept of acceleration.
9.3.1 9.3.2 9.3.3
9.3.4 9.3.5
Penyemakkan dan penandaan Penyemakkan dan penandaan
Determine acceleration function of a particle by differentiation Determine instantaneous acceleration of a particle Determine instantaneous velocity of a particle from acceleration function by integration. Determine displacement of a particle from acceleration function by integration. Solve problems involving motion along a straight line.
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
5
2
10
0
2
5
2
10
0
2
5
2
10
0
3
5
2
10
0
0 50
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
30
Use real-life examples and computer software such as Geometer’s Sketchpad to explore the concept of acceleration.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w 28
10.1Understand and use the 10.1.1 concept of graphs of linear inequalities
Kod HSP Hasil Pembelajaran (Learning Outcomes)
10.1.2
Penyemakkan dan penandaan Penyemakkan dan penandaan
Identify and shade the region on the graph that satisfies a linear inequalities Find the linear inequality that defines a shaded region.
Standard Aras (Level) Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
2
12
2
24
0
2
12
2
24
0
0 0
0 0
0 48
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
31
Use real-life examples, graphing calculators and dynamic computer software such as Geometer’s Sketchpad to explore linear programming
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w 29
10.1Understand and use the 10.1.3 concept of graphs of linear inequalities
Kod HSP Hasil Pembelajaran (Learning Outcomes)
10.1.4
Penyemakkan dan penandaan Penyemakkan dan penandaan
Shade region on the graph that satisfies several linear inequalities. Find linear inequalities that define a shaded region.
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
5
2
10
0
0 0
0 0
0 20
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
32
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
w 30
Bidang Pembelajaran (Learning Specifications)
10.2 Understand and use the concept of linear programming.
Penyemakkan dan penandaan Penyemakkan dan penandaan
Kod HSP Hasil Pembelajaran (Learning Outcomes)
10.2.1
Solve problems related to linear programming by: a) writing linear inequalities and equations describing a situation, b) shading the region of feasible solutions, c) determining and drawing the objective function ax + by = k where a, b and k are constants, d) determining graphically the optimum value of the objective function.
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
Standard Aras (Level) Minimum (s)
3
Pencapaian (a)
20
Pemberat (w)
1
0
3
4
Prestasi Standard (sw)
20
0
0 0 0
0 0 0
0 20
12 12
42.00
33
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
Use real-life examples, graphing calculators and dynamic computer software such as Geometer’s Sketchpad to explore linear programming
TAHUN
2009
SEKOLAH
SMK DATO ALI HAJI AHMAD
KOD SEKOLAH
JEB6014
PENGETUA / GURU BESAR TN. HAJI MOHD ZINI GURU PENOLONG KANAN 1 BIDANG MATAPELAJARAN
SAINS DAN MATEMATIK
PANITIA
MATEMATIK TAMBAHAN
MATAPELAJARAN
MATEMATIK TAMBAHAN
TINGKATAN / TAHUN
TINGKATAN 5
GURU Guru Kanan MP Ketua Panitia Guru Mengajar
CIK ONG CHUNG SIEAN SITI HASNAH BTE BAHARI
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)
Disediakan oleh
Disahkan oleh
Disahkan oleh
……………………………….. Ketua Panitia MATEMATIK TAMBAHAN
……………………………….. Guru Penolong Kanan 1/ Guru Kanan Mata Pelajaran SMK DATO ALI HAJI AHMAD
……………………………….. Pengetua / Guru Besar SMK DATO ALI HAJI AHMAD
3
0.54
-0.90
KEY PERFORMANCE INDICATOR (KPI) (STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
GURU MENGAJAR
MATEMATIK TAMBAHAN
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w1
1. PROGRESSIONS Understand and use the concept of arithmetic progression.
1.1.1
1.1
1.1.2
1.1.3
1.1.4
1.1.5
Penyemakkan dan penandaan Penyemakkan dan penandaan
Identify characteristics of arithmetic progressions. Determine whether a given sequence is an arithmetic progression. Determine by using formula: a) specific terms in arithmetic progressions, b) the number of terms in arithmetic progressi Find: a) the sum of the first n terms of arithmetic progressions, b) the sum of a specific number of consecutive terms of arithmetic progressions, c) the value of n, given the sum of the first n terms of arithmetic progressions, Solving problems involving arithmetic progressions
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
Aras (Level)
Standard Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
1
5
0
3
15
0
1
5
0
3
15
0
2
5
0
2
10
0
2
5
0
1
5
0
2
5
2
10
0
4
0 55
12 12
0
3
15.27
4
Use examples from real-life situations, scientific or graphing calculators and computer software to explore arithmetic progressions
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w2
1.2 Understand and use the concept of geometric progression.
1.2.1
1.2.2
1.2.3
1.2.4
Penyemakkan dan penandaan Penyemakkan dan penandaan
Identify characteristics of geometric progressions. Determine whether a given sequence is a geometric progression. Determine by using formula: a) specific terms in geometric progressions, b) the number of terms in geometric progressions. Find: a) the sum of the first n terms of geometric progressions, b) the sum of a specific number of consecutive terms of geometric progressions, c) the value of n, given the sum of the first n terms of geometric progressions,
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
1
5
3
15
0
2
10
2
20
0
2
10
2
20
0
0 70
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
5
Use examples from real-life situations, scientific or graphing calculators; and computer software to explore geometric progressions
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w3
1.2 Understand and use the concept of 1.2.6 progression
Kod HSP Hasil Pembelajaran (Learning Outcomes)
1.2.7
Solve problems involving arithmetic progression Solve problems involving geometric progressions
Standard Aras (Level) Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
2
10
2
20
0
3
10
1
10
0
0
Penyemakkan dan penandaan Penyemakkan dan penandaan
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0 30 0.00
6
0 0
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w4
2. LINEAR LAW Understand and use the concept of lines of best fit.
Kod HSP Hasil Pembelajaran (Learning Outcomes)
2.1 2.1.1
2.1.2
2.1.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
Draw lines of best fit by inspection of given data
Write equations for lines of best fit. Determine values of variables from: a) lines of best fit, b) equations of lines of best fit.
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
1
5
3
15
0
2
5
2
10
0
0
0
0 40
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
7
Use examples from real-life situations to introduce the concept of linear law. Use graphing calculators or computer software such as Geometer’s Sketchpad to explore lines of best fit.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w5
2.2 Apply linear law to nonlinear relations
2.2.1
2.2.2
2.2.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
Reduce non-linear relations to linear form. Determine values of constants of non-linear relations given: a) lines of best fit, b) data. Obtain information from: a) lines of best fit, b) equations of lines of best fit.
Standard Aras (Level) Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
1
10
3
30
0
2
10
2
20
0
2
10
2
20
0
0
0
0 70
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
8
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w6
2.3 Problem Solving
2.3.1
Penyemakkan dan penandaan Penyemakkan dan penandaan
Draw lines of best fit by given data and obtain information the graph
Standard Aras (Level) Minimum (s) 3
15
Pencapaian (a)
Pemberat (w) 1
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
Prestasi Standard (sw) 15
0
0 0 0
0 0 0
0 15
0 0
0.00
9
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w7
3. INTEGRATION Understand and use the concept of indefinite integral.
3.1.1
3.1
3.1.2
3.1.3 3.1.4 3.1.5 3.1.6
Penyemakkan dan penandaan Penyemakkan dan penandaan
Determine integrals by reversing differentiation. Determine integrals of ax, where a is a constant and n is an integer, n ≠ –1. Determine integrals of algebraic expressions. Find constants of integration, c, in indefinite integrals Determine equations of curves from functions of gradients. Determine by substitution the integrals of expressions of the form (ax + b), where a and b are constants, n is an integer
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
1
5
3
15
0
1
5
3
15
0
1
5
3
15
0
2
5
2
10
0
2
5
2
10
0
0 80
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
10
Use computer software such as Geometer’s Sketchpad to explore the concept of integration.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Standard Aras (Level) Minimum (s)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w8
3.2 Understand and use the concept of definite integral
3.2.1
Find definite integrals of algebraic expressions.
2
15
2
30
0
3.2.2
Find areas under curves as the limit of a sum of areas
3
10
1
10
0
0 40
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
Pemberat (w)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
Understand and use the
Penyemakkan dan penandaan Penyemakkan dan penandaan
Pencapaian (a)
Prestasi Standard (sw)
Minggu
0.00
11
Use scientific or graphing calculators to explore the concept of definite integrals. Use computer software and graphing calculator to explore areas under curves and the significance of positive and negative values of areas.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w9
3.2 Understand and use the concept of definite integral
Kod HSP Hasil Pembelajaran (Learning Outcomes)
3.2.3
3.2.4
Penyemakkan dan penandaan Penyemakkan dan penandaan
Find volumes of revolutions when region bounded by a curve is rotated completely about the a) x-axis, b) y-axis as the limit of a sum of volumes. Solve problem involving volumes
Standard Aras (Level) Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
3
15
1
15
0
3
15
1
15
0
0 0
0 0
0 30
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
12
Use dynamic computer software to explore volumes of revolutions
1
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w10
4. VECTORS Understand and use the concept of vector.
4.1.1
4.1
4.1.2 4.1.3 4.1.4 4.1.5
Penyemakkan dan penandaan Penyemakkan dan penandaan
Differentiate between vector and scalar quantities. Draw and label directed line segments to represent vectors Determine whether two vectors are equal. Multiply vectors by scalars. Determine whether two vectors are parallel.
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
1
5
3
15
0
1
5
3
15
0
1
5
3
15
0
2
5
2
10
0
0 70
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
13
Use examples from real-life situations and dynamic computer software such as Geometer’s Sketchpad to explore vectors.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w11
4.2 Understand and use the concept of addition and subtraction of vectors
4.2.1
4.2.2
4.2.3
4.2.4 4.2.5 4.2.6
Penyemakkan dan penandaan Penyemakkan dan penandaan
Determine the resultant vector of two parallel vectors. Determine the resultant vector of two non-parallel vectors using: a) triangle law, b) parallelogram law. Determine the resultant vector of three or more vectors using the polygon law Subtract two vectors which are: a) Parallel, b) non-parallel. (v) Represent a vector as a Represent a vector as a combination of other vectors. Solve problems involving addition and subtraction of vectors
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
2
6
2
12
0
2
6
2
12
0
2
6
2
12
0
2
6
2
12
0
3
6
1
6
0
0 66
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
14
Use real-life situations and manipulative materials to explore addition and subtraction of vectors.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w12
4.3Understand and use vectors in the Cartesian plane
4.3.1
4.3.2
Penyemakkan dan penandaan Penyemakkan dan penandaan
a) Express vectors in the form: xi + yj . b )Determine magnitudes of vectors c) Determine unit vectors in given directions d)Add two or more vectors e) Subtract two vectors f) Multiply vectors by scalars g) Perform combined operations on vectors Solve problems involving vectors
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
1
5
3
15
0
1
3
3
9
0
1 1 1 1
5 3 3 5
3 3 3 3
15 9 9 15
0 0 0 0
2
5
2
10
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0 97 0.00
15
0 0
Use computer software to explore vectors in the Cartesian plane
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w13
5. TRIGONOMETRY 5.1Understand the concept of positive and negative 5.1.2 angles measured in degrees and radians.
Represent in a Cartesian plane, angles greater than 360o or 2π radians for: a) positive angles, b) negative angles.
1
5
3
15
0
Use computer software to explore vectors in the Cartesian plane
5.2Understand and use the 5.2.1 six trigonometric functions of any angle
Define sine, cosine and tangent of any angle in a Cartesian plane
1
4
3
12
0
Use dynamic computer software to explore trigonometric functions in degrees and radians
5.2.2
Define cotangent, secant and cosecant of any angle in a Cartesian plane
1
3
3
9
0
5.2.3
Find values of the six trigonometric functions of any angle
2
5
2
10
0
5.2.4
Solve trigonometric equations
2
10
2
20
0
0 66
0 0
Penyemakkan dan penandaan Penyemakkan dan penandaan
Kod HSP Hasil Pembelajaran (Learning Outcomes)
Standard Aras (Level) Minimum (s)
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
0.00
16
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
Use scientific or graphing calculators to explore trigonometric functions of any angle.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
w14
Bidang Pembelajaran (Learning Specifications)
5.3 Understand and use graphs of sine, cosine and tangent functions
Kod HSP Hasil Pembelajaran (Learning Outcomes)
5.3.1
5.3.2 5.3.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
Draw and sketch graphs of trigonometric functions: a) y = c + a sin bx, b) y = c + a cos bx, c) y = c + a tan bx where a, b and c are constants and b > 0 Determine the number of solutions to a trigonometric equation using sketched graphs Solve trigonometric equations using drawn graphs.
Standard Aras (Level) Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
1
10
3
30
0
2
5
2
10
0
2
5
2
10
0
0 50
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
17
Use examples from real-life situations to introduce graphs of trigonometric functions. Use graphing calculators and dynamic computer software such as Geometer’s Sketchpad to explore graphs of trigonometric functions.
1
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w15
5.4 Understand and use basic identities.
5.4.1
5.4.2 5.4.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
Prove basic identities: a) sin²A + cos²A = 1, b) 1 + tan²A = sec²A, c) 1 + cot²A = cosec²A. Prove trigonometric identities using basic identities Solve trigonometric equations using basic identities
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
8
2
16
0
2
8
2
16
0
0
0
0 42
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
18
Use scientific or graphing calculators and dynamic computer software such as Geometer’s Sketchpad to explore basic identities.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w16
5.5 Understand and use addition formulae and double-angle formulae.
5.5.1
5.5.2
5.5.3 5.5.4
Penyemakkan dan penandaan Penyemakkan dan penandaan
Prove trigonometric identities using addition formulae for sin (A ± B), cos (A ± B) and tan (A ± B). Derive double-angle formulae for sin 2A, cos 2A and tan 2A. Prove trigonometric identities using addition formulae and/or double-angle formulae. Solve trigonometric equations
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
5
2
10
0
2
5
2
10
0
2
5
2
10
0
0 40
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
19
Use dynamic computer software such as Geometer’s Sketchpad to explore addition formulae and double-angle formulae.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w17
6. PERMUTATIONS AND COMBINATIONS Understand and use the concept of permutation.
6.1.1
Determine the total number of ways to perform successive events using multiplication rule.
1
5
3
15
0
Use manipulative materials to explore multiplication rule.
6.1.2
Determine the number of permutations of n different objects
1
5
3
15
0
Use real-life situations and computer software such as spreadsheet to explore permutations
1
5
3
15
0
1
5
3
15
0
1
5
3
15
0
0 75
0 0
6.1
6.1.3 6.1.4
6.1.5
Penyemakkan dan penandaan Penyemakkan dan penandaan
Determine the number of permutations of n different objects taken r at a time Determine the number of permutations of n different objects for given conditions. Determine the number of permutations of n different objects taken r at a time for given conditions
Standard Aras (Level) Minimum (s)
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
0.00
20
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w 18
6.2 Understand and use the concept of combination.
6.2.1
6.2.2
Penyemakkan dan penandaan Penyemakkan dan penandaan
Determine the number of combinations of r objects chosen from n different objects. Determine the number of combinations r objects chosen from n different objects for given conditions
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
10
2
20
0
0 0
0 0
0 35
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
21
Explore combinations using real-life situations and computer software.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w 19
7. PROBABILITY Understand and use the concept of probability
Kod HSP Hasil Pembelajaran (Learning Outcomes)
7.1
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
7.1.1
1
5
3
15
0
7.1.2
Determine the number of outcomes of an event.
1
5
3
15
0
1
5
3
15
0
1
5
3
15
0
7.1.4
Penyemakkan dan penandaan Penyemakkan dan penandaan
Pencapaian (a)
Describe the sample space of an experiment.
7.1.3
7.2Understand and use the concept of probability of mutually exclusive events.
Standard Aras (Level) Minimum (s)
Determine the probability of an event Determine the probability of two events: a) A or B occurring, b) A and B occurring.
7.2.1
Determine whether two events are mutually exclusive
1
5
3
15
7.2.2
Determine the probability of two or more events that are mutually exclusive.
1
5
3
15
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0 90 0.00
22
Use real-life situations to introduce probability. Use manipulative materials, computer software, and scientific or graphing calculators to explore the concept of probability.
Use manipulative materials and graphing calculators to explore the concept of probability of independent events. Use computer software to simulate experiments involving probability of independent events.
0 0
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w 20
7.3 Understand and use the concept of probability of independent events
7.3.1 7.3.2 7.3.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
Determine whether two events are independent Determine the probability of two independent events. Determine the probability of three independent events.
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
1
5
3
15
0
2
5
3
15
0
0
0
0 45
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
23
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w 21
8. PROBABILITY DISTRIBUTIONS 8.1Understand and use the concept of binomial distribution.
Kod HSP Hasil Pembelajaran (Learning Outcomes)
8.1.1
8.1.2 8.1.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
List all possible values of a discrete random variable. Determine the probability of an event in a binomial distribution. Plot binomial distribution graphs.
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
1
5
3
15
0
1
5
3
15 0
0 0
0 45
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
24
Use real-life situations to introduce the concept of binomial distribution. Use graphing calculators and computer software to explore binomial distribution
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w 22
8.1Understand and use the concept of binomial distribution.
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)
8.1.4
Determine mean, variance and standard deviation of a binomial distribution
1
10
3
30
0
8.1.5
Solve problems involving binomial distributions.
2
8
2
16
0
0 0
0 0
0 46
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
25
Use real-life situations to introduce the concept of binomial distribution. Use graphing calculators and computer software to explore binomial distribution.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w 23
8.2 Understand and use the concept of normal distribution.
8.2.1
Describe continuous random variables using set notations
1
5
3
15
0
8.2.2
Find probability of z-values for standard normal distribution.
2
10
2
20
0
35
0
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)
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
26
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w 24
8.2 Understand and use the concept of normal distribution.
8.2.3
8.2.4 8.2.5 8.2.6
Penyemakkan dan penandaan Penyemakkan dan penandaan
Convert random variable of normal distributions, X, to standardised variable, Z. Represent probability of an event using set notation. Determine probability of an event Solve problems involving normal distributions
Standard Aras (Level) Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
1
10
3
30
0
1
5
3
15
0
2
5
2
10
0
3
10
1
10
0
0 65
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
27
Use real-life situations and computer software such as statistical packages to explore the concept of normal distributions.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w 25
9. MOTION ALONG A STRAIGHT LINE 9.1Understand and use 9.1.1 the concept of displacement.
Kod HSP Hasil Pembelajaran (Learning Outcomes)
9.1.2 9.1.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
Identify direction of displacement of a particle from a fixed point Determine displacement of a particle from a fixed point. Determine the total distance travelled by a particle over a time interval using graphical 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
1
5
3
15
0
2
5
2
10
0
0
0
0 40
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
28
Use real-life examples, graphing calculators and computer software such as Geometer’s Sketchpad to explore displacement.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w 26
9.2 Understand and use the concept of velocity.
9.2.1
9.2.2 9.2.3
Penyemakkan dan penandaan Penyemakkan dan penandaan
Determine velocity function of a particle by differentiation. Determine instantaneous velocity of a particle Determine displacement of a particle from velocity function by integtration
Standard Aras (Level) Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
2
10
2
20
0
2
10
2
20
0
2
10
2
20
0
0
0
0 60
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
29
Use real-life examples, graphing calculators and dynamic computer software such as Geometer’s Sketchpad to explore the concept of velocity
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
Kod HSP Hasil Pembelajaran (Learning Outcomes)
w 27
9.3Understand and use the concept of acceleration.
9.3.1 9.3.2 9.3.3
9.3.4 9.3.5
Penyemakkan dan penandaan Penyemakkan dan penandaan
Determine acceleration function of a particle by differentiation Determine instantaneous acceleration of a particle Determine instantaneous velocity of a particle from acceleration function by integration. Determine displacement of a particle from acceleration function by integration. Solve problems involving motion along a straight line.
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
5
2
10
0
2
5
2
10
0
2
5
2
10
0
3
5
2
10
0
0 50
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
30
Use real-life examples and computer software such as Geometer’s Sketchpad to explore the concept of acceleration.
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w 28
10.1Understand and use the 10.1.1 concept of graphs of linear inequalities
Kod HSP Hasil Pembelajaran (Learning Outcomes)
10.1.2
Penyemakkan dan penandaan Penyemakkan dan penandaan
Identify and shade the region on the graph that satisfies a linear inequalities Find the linear inequality that defines a shaded region.
Standard Aras (Level) Minimum (s)
Pencapaian (a)
Pemberat (w)
Prestasi Standard (sw)
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
2
12
2
24
0
2
12
2
24
0
0 0
0 0
0 48
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
31
Use real-life examples, graphing calculators and dynamic computer software such as Geometer’s Sketchpad to explore linear programming
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
Bidang Pembelajaran (Learning Specifications)
w 29
10.1Understand and use the 10.1.3 concept of graphs of linear inequalities
Kod HSP Hasil Pembelajaran (Learning Outcomes)
10.1.4
Penyemakkan dan penandaan Penyemakkan dan penandaan
Shade region on the graph that satisfies several linear inequalities. Find linear inequalities that define a shaded region.
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
5
2
10
0
0 0
0 0
0 20
0 0
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
0.00
32
KEY PERFORMANCE INDICATOR (KPI)
GURU MENGAJAR
MATEMATIK TAMBAHAN
(STANDARD MINIMUM TUGAS AKADEMIK GURU - SMTAG)
TINGKATAN
TINGKATAN 5
JANGKA MASA
Item Minggu
w 30
Bidang Pembelajaran (Learning Specifications)
10.2 Understand and use the concept of linear programming.
Penyemakkan dan penandaan Penyemakkan dan penandaan
Kod HSP Hasil Pembelajaran (Learning Outcomes)
10.2.1
Solve problems related to linear programming by: a) writing linear inequalities and equations describing a situation, b) shading the region of feasible solutions, c) determining and drawing the objective function ax + by = k where a, b and k are constants, d) determining graphically the optimum value of the objective function.
Penyemakkan dan penandaan 1 Penyemakkan dan penandaan 2
Standard Aras (Level) Minimum (s)
3
Pencapaian (a)
20
Pemberat (w)
1
0
3
4
Prestasi Standard (sw)
20
0
0 0 0
0 0 0
0 20
12 12
42.00
33
Prestasi Guru Cadangan Aktiviti Pembelajaran (Learning Suggested (aw) Activities)
Use real-life examples, graphing calculators and dynamic computer software such as Geometer’s Sketchpad to explore linear programming
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