Video Learning

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

A-Maths: Plane Geometry Question (Step-by-Step) [Video]

In this video, I will show you:

How to prove that 2 lines are // to each other
How to prove a pair of similar triangles
How to prove an equation involving length

Properties & Theorems used:

Angles in the same segment
Intercept Theorem
Corresponding angles
Tangent - Secant Theorem

Strategies (Used in manipulation in part iii) :

Breaking a longer length into smaller parts
'Expansion' of length
Using result from earlier parts
Factorising common length

If you find this video, please subscribe to my YouTube Channel and share it with your friends!

Link to video: http://www.youtube.com/watch?v=UNZolJverww

Thank you!

Length of video = 11 minutes.

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

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: https://www.youtube.com/watch?v=CqCdD9a8q4c

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

Direct link: https://www.youtube.com/watch?v=6iqG74I07v4

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

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.

Quadratic Equations Song by St Margaret's Girls

Recently in my Secondary 3 Additional Maths Weekly Tuition Class, I was checking with my students if they have learnt the Quadratic Formula. One boy 'excitedly' pointed out the YouTube video done by three St Margaret Girls! It was shown to his class by his Maths teacher. I came across this video many years ago but could connect with what he was referring to.

Though it's a very simple song, it's useful especially if you're an auditory and kinesthetic learner.

I applaud the effort by the girls!

Direct link: http://www.youtube.com/watch?v=VS56N94Sllc