Author Archives: Ai Ling Ong

Hi, I'm Ai Ling Ong. I enjoy coaching students who have challenges with understanding and scoring in 'O' Level A-Maths and E-Maths. I develop Math strategies, sometimes ridiculous ideas to help students in understanding abstract concepts the fast and memorable way. I write this blog to share with you the stuff I teach in my class, the common mistakes my students made, the 'way' to think, analyze... If you have found this blog post useful, please share it with your friends. I will really appreciate it! :)

A-Maths: Factor-Remainder Theorem Introduction Videos

For many Secondary 3 A-Maths students, this topic called Factor - Remainder theorem or Polynomials is usually introduced in the first 3 months of the year.

In this topic, they are introduced to the method to find the factors of a cubic equation so that it can be solved. They also learnt when and how to use Remainder theorem to find the remainder when a dividend is divided by a divisor.

They also know to rewrite an expression into function f(x).

In the following two videos, I use less than 6 minutes to bring across the concepts of Factor theorem and Remainder theorem.

I hope through these videos, you will have a better understanding of these two concepts.

Also, I have included a page which contains all the O-Level Maths videos I have produced since 2007.

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E-Maths: Probability in everyday life

Recently, during the Chinese New Year period, I saw many people queuing up at Singapore Pools. For readers from other countries, Singapore Pools is like a betting station for lottery and sports. It was around the same period in which I was preparing to start teaching Probability to my Secondary 4 Elementary Maths students.

I decided to share with them on the probability of winning a number as a teaser to the topic. I did a poster and shared it on my Facebook. I was humbled by the response - the poster was shared 29 times! 

I believe the 'truth of winning' relates well to many people.

Details of a 4D game:

  • There are a total of 23 winning numbers which consist of 1st, 2nd, 3rd prizes, 10 starter prizes and 10 consolation prizes.
  • You may choose any 4 digit numbers from 0000 to 9999.
  • The following poster shows that to win any prize, the chance is a mere 0.23%

How often do we fall into the trap of greed, thinking that we can be lucky one day and win some money? In the end, who is the big winner? I'm sure you have the answer.

Whether you are a parent or student, I hope this blog post has shed some light on winning 4D game through the application of Maths in everyday life.

Probability in Everyday Maths

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A-Maths: Quadratic Equation - Sum & Product of Roots [video]

Quadratic Equation is an important topic in O-Level Elementary & Additional Maths.

Different areas are covered for each Math. For example in Additional Maths, we learnt:

  • Discriminant
  • Sum & product of roots
  • Relationship between line and curve

I would like to share with you a question sent to me by a Secondary 3 student on sum & product of roots.

This topic is taught in the beginning for Secondary 3 Additional Maths.

Youtube video link: http://www.youtube.com/watch?v=_Aw6ad7I_fc

Length of video:6 minutes

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