MATHEMATICS – Cartesian Coordinates & Graphs of Linear Functions

This is a relatively short topic, and teachers can usually complete this topic within a week. The document below concludes the content in these two topics, which are associated.

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Math Coordinate Geometry & Graphs of Linear Functions

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MATHEMATICS – Preparing Singapore-Cambridge GCE ‘O’ Level Mathematics Papers

The date for Singapore-Cambridge GCE ‘O’ Level Examination 2015 are:

  • Paper 1: 19 October 2015 (2.30pm – 4.30pm)
  • Paper 2: 22 October 2015 (2.30pm – 5pm)

After deeper analysis of the coverage of the syllabus, there are 44 small topics that can be assessed in examinations. These topics are very small such that it will not be very difficult for students to revise 15 topics a day, which means that revision can be completed within 3 days. The list of topics can be found in the Curriculum Outline in the Mathematics Page.

Phase 1: Revision

For this phase, you will need a total of 11 sheets of blank paper. Fold each paper into half and allocate half page for each small topic as specified in our Curriculum Outline. On the papers, write down the important points of the topic (e.g. formulae, diagrams, description). Be sure to leave some spaces for further addition of content into the summary.

This phase should be done by Term 2 Week 10.

Phase 2: Practice

Right after the end of the Mother Tongue Mid-year paper (or earlier if possible, based on your own judgement and ability), practice one paper (Paper 1 and Paper 2, on each other day) every day. Practice your yearly Ten-Years Series (up to 2008). These past-year papers can also be sourced on-line, or from your teachers. Mathematics depends on constant revision.

After attempting those papers, mark the papers yourself, and see how you score. Keep a record of your scores and the topics that you are weaker at.

This should stop one week before the start of GCE ‘O’ Level (the October-November period, not the start of the Mathematics Papers).

Phase 3: Review

After Phase 2, review all the papers (as well as Preliminary Examinations) that you had done again. Identify the points that you need to take extra caution and write in the blank spaces of the notes that you had previously written in Phase 1. This should be completed at least two days before the examination.

Print out the summary from our website and tally with your notes to see whether you have any more content to add on to your notes.

Phase 4: Revise

Study the notes that you have written from Phase 1 to Phase 3 and the summary notes from Horizon Education. Your teacher may also provide with you a set of comprehensive notes that you may find useful.

By following the phases, weaker students should be able to score at least a merit or students of higher ability should be able to score distinction.

DIVISION OF MATHEMATICS – Finding the roots of a Quadratic Equation using a Calculator

It is common in both Mathematics and Additional Mathematics to find the roots of a quadratic equation. In Mathematics, students are taught to use the Quadratic Formula. In Additional Mathematics, the Quadratic Formula is provided in Examination.

However, using a calculator is a simpler, faster and more reliable way to find the roots of a Quadratic Equation.

The instructions for using calculator to find the roots of a quadratic equation is available for download. Do take note that the instruction is specifically for Casio fx-96 SG PLUS, which is a common calculator model used by GCE ‘O’ Level candidates. For candidates using other models of scientific calculators, please refer to the manual of the calculator or consult other reliable sources.

Download the notes:

Solving Quadratic Equation using a Calculator (Casio fx96 SG PLUS)

MATHEMATICS – ‘Completing the Square’

There are many ways to solve quadratic equations, which includes:

  • use of quadratic formula
  • factorisation (‘Cross method’)
  • graphical method
  • ‘Completing the Square’

‘Completing the Square’ is a very tedious method to solve quadratic equation. This method is usually introduced to the students in Secondary 3. Students are advised to use this method only if the question specifies that this method must be used. After using this method, students are advised to verify their answer by the use of other methods, preferentially by using the quadratic formula.

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Completing the Square

MATHEMATICS – Statistical Calculations using Calculators

Mean and Standard Deviation are two statistical calculations that are important for GCE ‘O’ Level Mathematics, especially Paper 2.

The formulae for mean and standard deviation are provided for Mathematics Papers. However, the formulae require many calculation, which can in turn lead to confusion in the midst of calculation. A simpler, faster and more reliable way is to use the scientific calculator.

The instructions for using calculator to find mean and standard deviation of a group of data is available for download. Do take note that the instruction is specifically for Casio fx-96 SG PLUS, which is a common calculator model used by GCE ‘O’ Level candidates. For candidates using other models of scientific calculators, please refer to the manual of the calculator or consult other reliable sources.

Download the notes:

Finding Mean and Standard Deviation of Data using a Calculator (Casio fx96 SG PLUS)