Ai Ling Ong

A-Math: How to Integrate Trigonometry with Square Power [video]

Some students get really confused between differentiation and integration of Trigonometry. In fact, I personally feel that integration of Trigonometry is easier as there are only 3 general formulas (as shown). In this video, I've shown the thinking process, step by step approach on how to integrate Trigonometry with square power, an advanced concept. Hope you find the approach and explanation useful.

I would love to hear your comments.

Click on this link to view the video: http://www.youtube.com/watch?v=E3ykmKa4MLU

A-Math: Binomial Theorem Checklist

checklist-am Last lesson, I recapped with my students the essence of Binomial Theorem in A-Math and upon searching my website, I found that I have written quite a number of posts on this topic.

I'm going to list down the points you need to know before you go for your exams.

Do you know

How to use the Binomial formula provided on the formula sheet? (term by term expansion, (r+1)th general term, factorial formula)
What's term independent of x?
Which term to use in a double bracket expansion?
How to apply Binomial concepts in evaluating values?

Binomial theorem is closely linked to Indices and every year, there is always one question worth 5 - 7 marks in 'O' Levels.

Hope you find this post beneficial and I would love to hear your comments on Binomial theorem. Do you like this topic or you don't? Leave me a comment.

E-Math: Quadratic Checklist

checklist-em As I'm writing this post, we are only 89 days away from GCE 'O' Level Elementary Maths Paper 1.

Personally I think in this last phase of preparation, students must feel confident by reflecting on the things they've understand all these while.

I'm going to start this checklist for both E-Math & A-Math in this countdown towards 'O' Level 2010 and I hope you find it useful & beneficial in boosting your confidence and motivating yourself to do better.

For the topic of Quadratic, do you know

How to find the intercepts ( x & y), the turning point (minimum or maximum), given a quadratic graph?
How to sketch a quadratic graph given any type of quadratic equation?
How to complete square for a quadratic equation?
How to state the minimum or maximum from a completed square equation?
The various methods to solve a quadratic equation?
How to handle a problem solving question in Paper 2 involving quadratic concepts?

Above are the main concepts you need to know for Quadratic, feel free to add on any more in the comment section so that more readers can benefit from your sharing.

Study smart & stay cool!

A-Math: Kinematics Vocabulary List on Displacement, Velocity & Acceleration (Includes a printable note)

Many students don't like the topic in A-Math known as 'Kinematics'. My guess is that it is linked closely to Physics which is a subject not favourited by many too.

To be able to understand Kinematics, I always get my students to be familiar with what I call a 'Kinematics Vocabulary List'. [Click here to download a printable note]

I hope you find this list useful. I would like to hear from you how you find Kinematics in Differentiation & Integration. Do you like it or dislike it? Leave me a comment.

$A-Math-KinematicsVocabList$

E-Math: Adding & Subtracting Algebraic Fraction the Real Disguise Way (Video)

real-disguise With the completion of June Intensive Revision BootCamp over the school holidays, it has been my great pleasure to share with the participants on how to understand confusing Maths concepts easily, use a shorter time to solve their questions, enjoy learning :)

In the next few weeks, I'm going to share with you some of the important concepts I taught in my workshops. I hope you find the posts and videos useful. Remember to leave me a comment and subscribe to my blog (found on the top right hand side of this website).

Adding & Subtracting Algebraic Fraction is suitable for Secondary one to four students.

Length of video : 5 minutes.

Type of Numbers In A Simple Mindmap

Students whom I coach know that I'm a 'lazy' person when it comes to memorizing. So the way I teach is also free of memory work most of the time or if memorization is involved, I will cook up funny, ridiculous mnemonic (I can't spell this word, had to google for correct spelling) to help them remember better.

In this post, I'm sharing with you how I come out with a simple mindmap from Mindmeister.com to remember the type of numbers. For example, what are integers, whole numbers, natural numbers? I get confused easily and I'm sure some of you also face the same problem, isnt it?

Click on image for a bigger view.

This is useful in topics like Set Notation and Inequality, topics in E-Maths. If you like the mindmap, feel free to save it by 'Right Click' and 'Save as'. You can refer to it whenever and wherever.

If you're having problems understanding Set Notation, Inequality, join me at my Intensive Revision BootCamp this holidays. Click here for more information.