MOZAC MATHS DEPARTMENT

Dapatkan Mesej Bergambar di Sini

Semua kertas ini telah di berikan kepada semua pelajar sekolah sebagai bahan latih tubi menjelang SPM 2010
 Bahan ini cikgu post pula untuk kegunaan pelajar yang lain. Semua bahan ini cikgu download dari sebuah blog tuition yang terdapat di footer setiap kertas. Semua kertas adalah lengkap dengan skema
Negeri Sarawak Zon A + Skema
Negeri Kedah + Skema
Negeri Kelantan
Kuala Lumpur
Negeri Melaka 
MRSM 
Negeri Sembilan 
Pahang
Perlis
Putrajaya
Negeri Sabah
Negeri Selangor
Negeri Terangganu 
Times

Fail dalam bentuk zip fail

Kertas 1  Answer

Kertas 2  Answer

Kelantan P1
Kelantan P2
TQVM  to Nortzam Jaffar SMTMFP

Add Maths Terangganu

Fail dalam bentuk zip fail.Versi 2010

Negeri Sembilan 

Negeri Johor

Terimakasih pada cikgu yang memberi fail ini pada saya. Jika anda ada fail-fail yang lain sila email pada sahmozac@gmail.com

Additional Mathematics P1+P2+ Marking Scheme

Mathematics P1+ P2 + Marking Scheme

Program ini adalah satu program "Mentoring" dalam kalangan pelajar
Seramai 46 pelajar PMR Sekolah Menengah Tahfiz AlQuaraan Kampung Cenderah Jasin Melaka telah mendapat mentor seramai 46 Pelajar PMR Mozac dan seramai 41 pelajar SPM SMTAQ mendapat mentor 41 pelajar SPM Mozac.Matapelajaran yang terlibat adalah Matematik SPM dan Matematik PMR. Seramai 4 orang guru SMTAQ terlibat dan 4 Orang guru Matematik MOZAC terlibat. Semoga dengan program ini akan dapat meningkatkan keputusan Matapelajaran ini dikedua-dua sekolah.Seluruh Warga MOZAC mengucapkan jutaan terimakasih kepada semua pelajar yang sanggup menjadi Mentor. Kepada pelajar SMTAQ Cenderah diharapkan dengan Mentoring yang dijalankan akan menolong anda memperbaiki keputusan Matematik anda. Semua Kekurangan dalam mengendalikan Majlis ini kami memohon seribu kemaafan.

Hari ini 14.8.2010 Panitia Matematik Tambahan mengadakan program Praktis - Add Maths .
Dengan kepercayaan pada prasa : (95% we learn  if we teach someone ) Panitia telah melantik 26 Mentor Add Maths.Mentor-mentor ini telah mengajar Add Maths menggunakan modul yang disediakan oleh Panitia .Pn Normarzita, Miss Ho dan Pn Saripah telah menghadirkan diri untuk membantu Mentor- Mentor tersebut .Pelajar-Pelajar telah dibahagi kepada 26 kumpulan mengikut jumlah mentor yang ada.
Diharapkan dengan prgram ini akan meningkatkan pencapaian Add Maths sekolah ini .

Get the Selamat Berpuasa code at Myspace Graphics

Permutations and combinations

When we talk of permutations and combinations in everyday talk we often use the two terms interchangeably. In mathematics, however, the two each have very specific meanings, and this distinction often causes problems.
In brief, the permutation of a number of objects is the number of different ways they can be ordered; i.e. which is first, second, third, etc. If you wish to choose some objects from a larger number of objects, the way you position the chosen objects is also important. With combinations, on the other hand, one does not consider the order in which objects were chosen or placed, just which objects were chosen. We could summarise permutations and combinations (very simplistically) as

Permutations - position important (although choice may also be important)

Combinations - chosen important,
which may help you to remember which is which.

THE IMPORTANT DIFFERENCE
As mentioned above, there is an important difference between permutations and combinations. In this case, for permutations the order of events is important: order 1 is different from order 2. For combinations, however, it does not matter which picture was hung first. In this example there are two permutations (A, B ≠ B, A), but only one combination (A, B = B, A).
Another way that you may find useful to help you remember is to consider a combination lock. On combination locks you have to turn dials with numbers on so a particular number is given, e.g. '1, 2, 3, 4'. But they do not unlock when if the order is changed (e.g. 2, 1, 3, 4). In this case the order is important. So combination locks should not be called combination locks but 'permutation' locks.

In the same way that permutations have shorthand, combinations have similar shorthand. All we have to do is divide the number of permutations by the number of permutation in each set. So, the right-hand side of the following equation is the same as the equation for the number of permutations except for an additional r! term in the divisor (which corrects for the number of permutations of each set). Note, also, that the P (for permutation) is replaced by C (for combination).

If you have a scientific calculator you should see these labelled (on some calculators they are separate keys, on others they are second-function keys). In general, you enter the number of items to choose from (n) then the nCr or nPr button and then the number of items to choose (r).

Permutation - arrangement - example
Question 1 :   A family of 4 brothers and 3 sisters is to be arranged in a row for a photograph. In how many ways can they be seated if all the sisters are together?
Answer:    Let B₁,B₂,B₃,B₄ denote the brothers and S₁,S₂,S₃ denote the sisters. Since the sisters are to be seated together for a photograph, consider all the sisters as one unit or entity. Then B₁,B₂,B₃,B₄,S can be arranged to sit in 5! ways. The sisters can be arranged among themselves in 3! ways. Since the two events are independent, the total number of arrangements = 5!.3! = 720 ways.

Question 2:   In how many ways can a consonant and a vowel be chosen out of the letters in the word COURAGE?
Answer:    There are three consonants (C, R, G) and four vowels (A, E, O, U) in the word COURAGE.
With the consonants, we may choose any one of the 4 vowels. It can be done in 4 ways. There are three consonants.
\The total number of ways will be 4 x 3 = 12.

Question 3:   How many arrangements can be made out of the letters of the word DRAUGHT, the vowels never being separated?
Answer:    There are 7 letters in the word DRAUGHT, the two vowels are A and U. Since, the vowels are not to be separated, AU can be considered as one entity. Therefore, the number of letters will be 6 instead of 7. The permutations will be P(6,6) = 6! ways.
But the two vowels A and U can be arranged in two ways, i.e. AU and UA.
\The required number of arrangements = 2!.6! = 1440 ways.

Question 4:( Out of SPM Syllibus)   Find the number of arrangements that can be made out of the letters i) ASSASSINATION ii) GANESHPURI.
Answer:    i) The word ASSASSINATION consists of
A's = 3, S's = 4, I's = 2,
N's = 2, T's = 1, O's = 1
The total number of letters is 13 letters.


ii) The word GANESHPURI consists of 10 distinct letters.
The number of permutations is 10!.
Question 5 : ( out of SPM Syllibus)   How many different arrangements can be made out of the letters in the expression a³b²c⁴, when written at full length?
Answer:    There are 3 + 2 + 4 = 9 letters.

Standard form
Quadratic expressions
Sets
Mathematical reasoning
Straight lines
Statistics
Probability
Circle
Elevations
Plane 3D

SOLID GEOMETRY
CIRCLE, AREA AND PERIMETER
QUADRATIC EXPRESSIONS AND EQUATIONS.

SOLID GEOMETRY
CIRCLE, AREA AND PERIMETER
QUADRATIC EXPRESSIONS AND EQUATIONS.
SETS
INEQUALITIES
MATHEMATICAL REASONING
THE STRAIGHT LINE
STATISTICS
LINES AND PLANES IN 3-DIMENSIONS
GRAPHS OF FUNCTIONS
TRANSFORMATIONS
MATRICES
GRADIENT AND AREA UNDER A GRAPH
PROBABILITY
PLAN AND ELEVATION
EARTH AS A SPHERE

10. Praktis 10 dengan Skema 10

Additional Mathematics Answers

Salam sejahtera kepada semua pelajar cikgu
Disertakan Tugasan Kerja Projek Matematik Tambahan. Ada empat Tugasan tetapi setiap pelajar hanya memilih satu sahaja. Boleh dilaksanakan secara kumpulan tetapi setiap pelajar mesti menyelesaikan secara bertulis dan menghantar tugasan sendiri .

Tugasan 1 Rubric tugasan 1
Tugasan 2 Rubric Tugasan 2
Tugasan 3 Rubric Tugasan 3
Tugasan 4 Rubric Tugasan 4
Guidelines
Surat JPN

Selamat Bercuti dan Selamat Mengulangkaji

Program ini diadakan di MRSM Tun Ghafar Baba Jasin dari 2 - 4 April 2010
Mozac telah menghantar 10 orang pelajar untuk menerima latihan dibawah pimpinan En Suhaimi Ramly. En Suhaimi Ramly is the head trainer of the malaysian national team to the International Mathematical Olympiad Competition. As a student, he represented the country in IMO 1999 ( Bucharest, Romania) IMO 2000 ( Taejon, Korea)and IMO 2001 ( Washington DC, USA). He is the first person to win an IMO Bronze Medal for Malaysia in 2000.

Program Jalinan Mantap Matematik Tambahan SMS MUzaffar Syah , SBPI Selandar dan MRSM Tun Ghaffar Baba telah diadakan pada 3 April 2010 di MRSM tun Ghafar Baba. Program ini bertujuan untuk mewujudkan kerjasama 3 sekolah dan bertukar-tukar ilmu Matematik Tambahan dalam kalangan guru dan pelajar.Seramai 15 orang pelajar MOZAC ,15 Pelajar SBPI Selandar dan 30 Pelajar MRSM Tun Ghafar Baba telah mengambil bahagian.Program diisi dengan melihat kegunaan Matematik Tambahan dalam kehidupan seharian yang berkaitan dengan tajuk Statistik, Index Number, Integration, Differentiation,Vektordan Progression. Para pelajar mencari bahan secara berkumpulan dan kemudiannya membuat persembahan kumpulan.Selepas itu diadakan program exploremaths.Majlis Penutup dimulakan dengan ucapan pengetua MRSM Dr Mariam Md Salleh .Keseluruhannya program ini telah berjaya diadakan dengan baik sekali.Tahniah kepada Jabatan Matematik MRSM Tun Ghafar Baba yang diketuai oleh Pn Molizah Alis Bt Abdul Malek atas penganjuran program ini.

Practice Make Perfect ...
The Good module to implement. TQ to someone who give the file to me

Form 4
Functions
Quadratic Equations
Quadratic Funcitons
Simultaneous Equaions
Indices and Logarithms
Coordinate Geometry
Statistics
Circular Measure
Differentiation
Solutions of triangle
Index Numbers

FORM 5

Progressions
Linear Law
Integration
Vectors
Trigonometric Functions
Permutations and Combination
Probability
Probability Distributions
Motions Along a Straight Line
Linear Programming

Untuk semua guru Matematik dan Additional Mathematics

Sila klik untuk melihat pelbagai lesson plan ( Scheme of work) tahunan from year 1 to upper 6 Kalau nak share you all punya email kat saya sahmozac@gmail.com

Dalam kesempatan ini cikgu sangat-sangat mengalu-alukan sebarang cadangan dari pelajar-pelajar dan guru-guru seluruh negara agar blog ini lebih baik dari segi kandungannya bukan perhiasannya. Cikgu sangat berharap blog ini boleh membantu guru-guru matematik dan para pelajar sekelian.
Sila beri cadangan untuk menaikkan kecekapan kita dalam matapelajaran ini dengan menulisnya pada ruangan komen dibawah

Selamat Tahun Baru 2010 . Dah lama cikgu tak post sebarang cerita. Ini cerita terbaru cikgu
Baru-baru ini cikgu dan 6 org cikgu lain telah pergi ke ATCM 2009 di Normal Universiti Beijing China dari 17 - 21 Disember . Cikgu berlepas ke sana pada 15 Disember so sempatlah melawat Beijing. Seramai 400 peserta dari 26 buah negara telah menyertai persidangan teknologi dalam pendidikan matematik. Banyak perkongsian pengalaman pendidikan matematik telah dikongsi bersama. Cikgu sempat membentang satu kertas dalam persidangan itu. Sesunggunya pengalaman tersebut sangat berharga dalam hidup cikgu terutama musim sejuk disana.