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.
Thursday, November 04, 2010
Polygons
Sum of Interior Angles of A Polygons
There are 4 different proofs shown here. I am sure students will enjoy them.
Friday, July 23, 2010
International Standard Book Number
International Standard Book Number
This article is written for Thai students of Prichai Ratanakorn School from Ranong.
This article is written for Thai students of Prichai Ratanakorn School from Ranong.
Wednesday, June 02, 2010
Square root of Complex Nos with Pythagorean Triples
Square root of Complex Numbers with Pythagorean Triples
This post is dedicated to Lower Six B of Penang Free School (Year 2010).
This post is dedicated to Lower Six B of Penang Free School (Year 2010).
Saturday, February 27, 2010
British Math Olympiad 2008
British Math Olympiad 2008 Paper 1 / Question 5 - Solution
A geometrical property is proved using some algebraic identities.
A geometrical property is proved using some algebraic identities.
Friday, February 26, 2010
British Math Olympiad 2008
British Math Olympiad 2008 Paper 1 / Question 4 - Solution
If n objects are put into p pigeon holes, where p < n then some pigeonhole must contain at least two objects.
If n objects are put into p pigeon holes, where p < n then some pigeonhole must contain at least two objects.
Sunday, February 21, 2010
British Math Olympiad 2008
British Math Olympiad 2008 Paper 1 / Question 3 - Solution
This is a geometrical problem solved using circle theorems.
This is a geometrical problem solved using circle theorems.
Friday, February 19, 2010
British Math Olympiad 2008
British Math Olympiad 2008 Paper1 - Question1 / Solution
I took the chance to solve some problems in the BMO paper 2008. During the CNY holidays when I was quite free so I typed out the solution for the first question. I shall find time to type more later.
I took the chance to solve some problems in the BMO paper 2008. During the CNY holidays when I was quite free so I typed out the solution for the first question. I shall find time to type more later.
Thursday, January 21, 2010
Sunday, January 10, 2010
Snell's Law - A Mathematical Proof
Snell's law - A Mathematical Proof
The use of dy/dx = 0 to determine maximum or minimum value in the proof of Snell's Law , I hope will appeal to students studying math and physics for SPM/STPM.
The use of dy/dx = 0 to determine maximum or minimum value in the proof of Snell's Law , I hope will appeal to students studying math and physics for SPM/STPM.
Saturday, January 02, 2010
Pythagoras Theorem
Pythagoras Theorem - Proof by Leonardo da Vincci
A very elegant proof which I admire and you will be equally fascinated. There are other proofs that may be very different but they have their merits of their own. Hope to post some in future.
A very elegant proof which I admire and you will be equally fascinated. There are other proofs that may be very different but they have their merits of their own. Hope to post some in future.