STRONG MATHEMATICAL INDUCTION

https://drive.google.com/open?id=0B3NUi_7xrhYgdzV6aTJXeGRfcWM

I dedicate this page to all my IB students in TAYLOR'S COLLEGE SRI HARTAMAS.

You are my inspiration.

ALBERT BERNARD AND CHERYL'S BIRTHDAY PROBLEM

https://drive.google.com/open?id=0B3NUi_7xrhYgSFM1Q05PYk9UelU&authuser=0

DIRAC'S THEOREM - PROOF BY MATHEMATICAL INDUCTION

A proof by mathematical induction. Dedicated to my IB students of TCSH
Thanks to my IB students at TCSH, 

This proof is dedicated to all of you, an inspiration that comes from our math lessons together. 
I have looked into some books and internet sources and so far the proof uses the approach of a supposition of a longest path.

I welcome you all to study the proof by mathematical induction given here and tell me if I overlooked something. 

This is one way how you can do a math exploration.

Please click here for the proof.

SMK SEAFIELD MATH TALK 2014

MATHEMATICS - SELECTED STPM QUESTIONS FOR REVISION

SOLUTIONS

BE LUCKY


I express sincere thanks for the opportunity, Students! Your attention, cooperation, willingness to learn and good attendance gave a very good impression. Salute to your school! I wish you all great success in your exam. Special thanks also to Pn. Baizura and Pn. Chin for the support, both your presence throughout gave me added inspiration and showed how much you care for your students to do well. Congratulations SMK SEAFIELD. 

https://drive.google.com/file/d/0B3NUi_7xrhYgY2M0Qmw4VURJY2c/edit?usp=sharing

STPM FURTHER MATHEMATICS PAPER 2 - QUESTIONS & SOLUTIONS

My best wishes go to all taking this paper in May 2014.

This question paper is obtained from the specimen given together with the 2012 syllabus and exam format published by Majlis Peperiksaan Malaysia

https://drive.google.com/file/d/0B3NUi_7xrhYgY2M0Qmw4VURJY2c/edit?usp=sharing

CEVA'S & MENELAUS THEOREMS

Ceva's & Menelaus Theorem
https://drive.google.com/file/d/0B3NUi_7xrhYgdFFGTkpuVGFOYkE/edit?usp=sharing

A proof of CEVA'S & MENELAUS'S theorems without using triangles.
Both proofs use one property where fractions are equal as given below.
(a/p) = (b/q) = (c/r) = ... = (a + b + c+ ...)/(p + q + r + ...)

STPM Further Mathematics Model Exam Paper 1

STPM Further Mathematics Model Paper 1

STPM Further Mathematics Model Paper 1 - Solutions

I have selected questions to cover almost all of the syllabus. Happy solving!

STPM Trial Exam Paper 2013

STPM Further Math Trial Exam Paper 1 - 2013

STPM Further Math Trial Exam Paper 1 - 2013 - Solution

I feel it is not practical to have students travel to Penang to take the trial exam for Further Math. Two main reasons are:
1. It will take too much time to travel. for those who are too far from Penang.
2. The cost in travelling and accommodation should not be just to take the test.

I promise to set a trial paper for students taking STPM Further Math 2013 - Paper 1. Please help inform that the trial exam paper is posted here. I hope students find this paper beneficial and provide a good guide for them to study. I think include almost everything in the syllabus.

If anyone can find a  hotel to sponsor a seminar room and accommodation then we can have a seminar to discuss the solutions and make preparation for the coming STPM Further Math Paper

Best regards from me.

Probability

Probability

Examples and Questions base on the required contents in the new STPM Math Syllabus.

An Infinite Product

I am thankful to have the chance to enjoy solving this problem.
Click here for the solution.

Further Math STPM 2010 Answers

Click here for Further Mathematics STPM 2010 Answers.

Further Math 2003 Answers

Click here for Further Math 2003 Answers

Further Math 2002 Answers

Click here for Further Math 2002 Answers

Further Math 2011 Answers

Click here for answers to STPM Further Math 2011 Answers

Teaching Mathematics

Teaching Mathematics In the Higher Forms

Teaching geometric progression offers opportunities to talk about the "wonders" compound interest, how money doubles at 10% every 7 years. Details on saving regularly every month for 10 years and the stop completely can result in more money being saved for a life-time if the same amount is saved every month but starting 10 years late.

Teaching definitions using one word helps many students understand definitions such as
logarithm, weight, center of gravity, standard deviation, half-life, light years etc. Of course some definitions can be taught in this manner. eg What is force? What is calculus?

Examination questions on mathematics make teacher spent much time teaching skills in calculation and concepts and methods. If questions in mathematics more space for matters related to say health issues, environment, borrowing money etc, I believe teachers will also devote time on these areas.

Greater Appreciation of Math for Pre-U Students

Greater Appreciation in Mathematics For Pre-U Students

The power point slides were used in the colloquium presented by me for form six teachers organized by the Penang Education Department hosted by Methodist Boys' School last year.

Olympiad Training Question On Algebra

An Exercise on Algebra

The question rephrase can be rephrase as follows.

If (x, y) are points on the curve x^3 + y^3 = x -y then (x, y) is always in the interior of the ellipse x^2 + 4y^2 = 1.

Deductive Geometry - Olympiad Training Question

A Deductive Geometry Question involving Circle Properties

Why (-1)(-1) = 1?

Why (-1)(-1) = 1?

Two methods shown.

1. Use of distributive law

2. Use of the Rule of Indices

Some discussions are given to illustrate the use of negative numbers.

Polygons

Sum of Interior Angles of A Polygons

There are 4 different proofs shown here. I am sure students will enjoy them.