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A-Maths Tuition

Preparation for Secondary 3 Additional Mathematics


During this period, I received numerous calls on Secondary 3 Additional Maths Tuition class. Many parents are worried if their child can cope with the subject next year. The focus on Secondary 1 and 2 Maths is directed on Algebra which is definitely essential for Secondary 3 Additional Maths and Elementary Maths. 

In Secondary 3 Additional Maths, most students will be learning the following topics for the first half of the year and many topics involved Algebra manipulation.

  • Simultaneous Equations
  • Surds & Indices
  • Exponential Function
  • Logarithms
  • Quadratic Equations
  • Partial Fractions
  • Factor – Remainder Theorem
  • Modulus Function
  • Coordinate Geometry

To help students to revise on some of the essential concepts, I have prepared a short list of questions on Expansion, Solving Quadratic Equations & Understanding Quadratic Graph. It will only take students 10 - 15 minutes to complete and the step-by-step solutions (+common mistakes) will be emailed the following day.

To download your free copy, enter your name and email in the form below for the questions to be sent to you instantly. 

 

If you can't view the form, please click here.

Filed Under: A-Maths Tuition

2013 GCE O-Level Additional Maths 4038 Paper 1 (Post Mortem)


Observations for 2013 GCE O-Level Additional Maths Paper 1:  Graph on linear law, partial fractions, binomial, nature of stationary points, decreasing function, coordinate geometry, exponential word problems, sum & product of roots, proving identity, factor formula, modulus, rate of change, hence qn on dy/dx & integration.

Based on what was tested in GCE O-Level A-Maths 4038 Paper 1, the following concepts are yet to be tested:

  • Trigonometry equations
  • Trigonometry graph
  • Indices
  • Matrices
  • Kinematics
  • Plane Geometry (very likely)
  • Gradient of tangent or normal
  • Logarithms
  • Factor remainder theorem
  • Relationship between curve and line
  • R-formula
  • Equation of circle
  • Area under curve

We look forward to 2013 GCE O-Level A-Maths 4038 Paper 2!
Do your best and check your work to achieve perfection!

 

Filed Under: A-Maths Tuition, Exam Matters

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.

Filed Under: A-Maths Tuition, Video Learning Tagged With: angle properties of circle, Intercept Theorem, plane geometry, similar triangles, tangent secant theorem

A-Maths: Plane Geometry (Geometrical Proof) Mastery Workshop + SPECIAL CODE


Student 1: "I can't see!"

Student 2: "I don't know how to start. I don't know which theorem or formula to use."

Student 3: "I always can't do plane geometry question in exams!"

Student 4: "I don't understand the topic at all!"

These are the common problems faced by many A-Maths students in the topic of Plane Geometry, even A-grade students!

Every year since 2008 in GCE O-Level Additional Maths Paper 2, there's always a Plane Geometry question worth 8 to 10 marks!

This topic can be made easier by

  • Looking out for hints given in the question and diagram
  • Understanding the newly introduced theorems (5 of them)
  • Combining E-Maths angle and symmetry properties of circle
  • Learning the 'dummy-proof' way to prove congruent and similar triangles
  • Exposure to a variety of strategies and questions
  • Learning how to apply the skills learnt on solving questions

I'm conducting my final A-Maths Mastery Workshop on Plane Geometry this September!

Join me for this final revision and solve that Plane Geometry question in O-Level 2013, add 10 marks to your final score! 

For more details: go to www.singaporeolevelmaths.com/pg

Enter special code to enjoy $28 discount off the workshop fee!

Filed Under: A-Maths Tuition, Workshop Tagged With: plane geometry

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

Filed Under: A-Maths Tuition, Video Learning Tagged With: factor remainder theorem, Solve Cubic Equation

A-Maths Differentiation: Finding Gradient of Curve


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:

  • Quotient rule
  • Gradient of curve is dy/dx

Bonus: Strictly decreasing function means dy/dx < 0 for all values of x.

A Maths Tutor

Click on the image for a bigger view.

I would like to hear any comments from you. Did you do this question using another approach?  Leave me a comment.

Filed Under: A-Maths Tuition Tagged With: differentiation, differentiation techniques, quotient rule, tangent

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