singaporeolevelmaths
Simple Tips for Better Maths Results!
Do you know that roots of a quadratic equation can also mean the solutions, the x intercepts or simply put it the answers to the equation?
It is something we have learnt since lower secondary.
In 2019, GCE O Level Additional Maths Paper 2 Q10 tested candidates on their basic understanding of roots.
11 marks! Wow!
If you have been simply surface learning, you won't get past part (i) of the question.
See the video to see how I approach this question: https://www.youtube.com/watch?v=CPtbpO4At9w
Many students after reading the question take a long time to begin as they don't know how to start. The trick is to draw! Drawing helps us to see and understand the question better.
Drawing is one of the keys to answer this question. To answer part (a), we need to notice the property of radius is perpendicular to tangent. Also, in part (b) of the question, we need to apply discriminant from the topic of Quadratic.
I have shared my thinking process and step-by-step solutions in the following videos.
How did you find the videos? Did they help you to understand better? Leave me your feedback in the comment section.
Part (a) URL: Click here to watch part (a) 7 minutes
Part (b) & (c) URL: Click here to watch part (b) & (c) 5 minutes.
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:
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
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
I was talking to my Secondary 3 students in my O-Level E Maths weekly tuition class on Quadratic when they expressed disgust for the technique of Completing Square.
A similar thing happened when Completing Square was an alternative method offered to Equation of Circle concept. There was a collective yucks from the class.
I hope my video will ease the yuckness many students find with completing square technique and give you some hope to conquer it!
Test out your understanding by leaving your answer for the bonus question in the comments below!
Direct link to video: http://www.youtube.com/watch?v=bf8PfyP2h74
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
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!