Linear Law is a Secondary 3 A-Math topic covered in Odyssey Math Tuition’s online math course for that level, with recorded video lessons, a question bank, topical practice and a topical test. Most marks lost here come from execution errors rather than misunderstanding, which is why targeted practice works.
What linear law actually asks of a student
Linear law takes a relationship that is not a straight line and rearranges it until it is. The point is practical: a straight line has a gradient and an intercept that can be measured from a graph, and those two numbers give the unknown constants.
The whole topic is one skill applied repeatedly — rearrange the given equation into the form of a straight line, identify what plays the role of each axis, then read the constants off the graph.
What the topic assumes you already have
Most difficulty in this topic is not caused by the topic itself. It is caused by something earlier that never became fluent. Check these first:
- Coordinate geometry: gradient and intercept of a straight line
- Index and logarithm laws, since many rearrangements need them
- Confident algebraic rearrangement
- Plotting and reading values from a graph accurately
If any of these is shaky, repair it before going further. Working on new material while a prerequisite is unstable is how students spend hours and move nothing.
Where marks are actually lost
- Choosing the wrong quantities for the axes, which makes everything after it wrong
- Reading the gradient from the graph without using two well-separated points
- Confusing the gradient with one of the original constants rather than deriving it
- Rounding graph readings too early
- Not stating what the axes represent, losing method marks
Most of these are execution errors rather than gaps in understanding, which is encouraging: they respond to practice and to keeping a written record of the mistakes you personally repeat.
A revision approach that works
- Always write the rearranged equation directly beneath the straight-line form so the correspondence is visible.
- Label the axes with the full expression, not a single letter.
- Use widely separated points when computing gradient from a plot.
- Practise the rearrangement alone, without any graph, until it is quick.
How the Secondary 3 A-Math course covers it
In the Secondary 3 A-Math online course this topic follows the same shape as every other: a recorded explanation, a question bank with answers worked through rather than printed, topical practice, and a topical test. Lessons are recorded personally by our founder, Mr. Justin Tan, and the course follows our own curriculum, aligned to the MOE syllabus.
The courses also include past-year school examination papers with worked answers, which shows how a topic is actually examined rather than how it is taught. Access is 24 hours a day with unlimited replays, and every online course carries a 7-day money-back guarantee.
Where this sits in the wider syllabus
For the year as a whole, see our guide to this stage. For the subject in context, this guide and this one cover what comes before and after.
A student on the online course
Ezekell describes what studying with the online course was actually like.
What we describe here comes from how our own online courses are built and from what we have seen in our own classes. It is not a forecast for any individual student: progress is produced jointly, by a student willing to put in the work with support at home. No tuition centre in Singapore may promise grades, and we do not. Course details and prices are as published at the time of writing — check the course pages for current information.
Frequently asked questions
What does linear law cover at Secondary 3 A-Math?
Linear law takes a relationship that is not a straight line and rearranges it until it is. The point is practical: a straight line has a gradient and an intercept that can be measured from a graph, and those two numbers give the u…
What should my child revise before this topic?
The prerequisites listed above. Most difficulty traces back to an earlier skill that never became fluent rather than to the topic itself.
Where do students lose the most marks?
Almost always in execution rather than understanding — sign errors, answering a different question from the one asked, or skipping the sketch.
Is this topic in the online course?
Yes. It is covered in the Secondary 3 A-Math online math course with video lessons, a question bank, topical practice and a topical test.
Can we access just this topic?
Yes. The courses are self-paced and non-linear, so a student can go straight to one topic without working through the rest.
Is there a trial period?
All online courses carry a 7-day money-back guarantee. The terms and conditions set out how it works.
Last reviewed July 2026. Syllabus details follow the Ministry of Education and SEAB published documents.
