O-Level A Maths Tuition Centre – singaporeolevelmaths

A-Maths: Solve a Cubic Equation by Synthetic Division or Comparing Coefficients – video

Written on April 21, 2013 by Ai Ling in A-Maths, Video Learning

Solving a cubic equation is similar in some aspects to solving a quadratic equation, factorisation is in action.

In the two videos, I show you the step by step approach I took to solve a cubic equation either by synthetic division or comparing coefficients.

This concept is usually covered in Secondary 3 Additional Maths syllabus under Factor and Remainder Theorem.

Step 1 (same for both methods) : Guess and Check the first factor (with the help of the calculator).

Step 2: Find the Quadratic Factor.

Leave a comment to share with me which method do you prefer or usually use? I look forward to your comment!

Video 1: GCE O-Level A-Maths: Solve a Cubic Equation by Synthetic Division

Direct link: http://www.youtube.com/watch?v=4rWHMmKh-aM

Video 2: GCE O-Level A-Maths: Solve a Cubic Equation by Comparing Coefficients

Direct link: http://www.youtube.com/watch?v=IIxFHhX65Zg

E-Maths: Introduction of Angle Properties of Circle (Basic) – Video

Written on April 8, 2013 by Ai Ling in E-Maths, Video Learning

2 Comments

This topic, Angle Properties of Circle is usually introduced in Secondary 3 Elementary Maths syllabus in Singapore. It is a very visual topic in which some students might have challenges “seeing” and “identifying” them.

I would like to first introduce the 5 Angle Properties of Circle:

Angles in the same segment (are equal)
Angle at centre is twice angle at the circumference
Right angle in semi-circle
Angles in opposite segment (add up to 180 degrees)
Radius is perpendicular to tangent

I have shared these 5 Angle Properties of Circle in the following video.

Direct link: https://www.youtube.com/watch?v=xrI8jpOny2Y

For those of you who have challenges with this topic, tell me what are the challenges you face in the comment section below.

A-Maths Differentiation: Finding Gradient of Curve

Written on March 20, 2013 by Ai Ling in A-Maths

1 Comment

I’m very excited to be working on the revised copy for the GCE O-Level Additional & Elementary Mathematics Ten Years Series (2003-2012) by FBP Publisher.

The book should be available in all Popular bookstores (Singapore) in early April. There’s something new on this book. To provide more value to students, this year we have included an additional book of drill questions.

I would like to share one of the questions from Differentiation: Tangent & Normal with all of you.

Skill required: