Choose the first lesson by the point where your work stops, not by the topic name. “I am weak at calculus” is hard to teach. “I can differentiate but do not know what to do with a word problem about the largest area” is something a teacher can start on in the first ten minutes. This page shows how to find that sharper description.
What kinds of focus are there?
Most Additional Mathematics sticking points fall into one of five kinds. Each needs a different kind of lesson.
| Focus | What it sounds like | What the lesson does |
|---|---|---|
| Method selection | “I know the tools but do not know which to use.” | Practise reading a question for cue words and structure, then choosing |
| Algebra repair | “I understand the idea, then the algebra goes wrong.” | Rebuild specific skills: brackets, fractions, rearranging, factorising |
| One topic rebuild | “I lose marks on every trig question.” | Teach the topic from its foundations, with questions ordered by difficulty |
| Exact working | “I get the answer but lose marks for the method.” | Practise layout, exact values, and where the answer should be left unrounded |
| Mixed question stamina | “Each part is fine, but long questions fall apart.” | Work through multi-part problems, linking earlier answers to later parts |
Most students are a mix, but one kind usually dominates. Choose that one for the trial.
A worked example: finding the real sticking point
A student says: “I am bad at trigonometry.” The teacher gives a single question to see what happens.
Solve 2 sin 2x = 1 for 0° ≤ x ≤ 180°.
The student writes: sin 2x = 0.5, so 2x = 30°, so x = 15°. Then, remembering that sine has a second solution, writes 180° − 15° = 165°.
Answer given: 15° and 165°. This looks confident, and one solution is correct. Check 165°: 2 × 165° = 330°, and 2 sin 330° = −1, not 1.
What went wrong? The student applied the “180° − angle” rule to x instead of to 2x. The real error is not trigonometry knowledge. It is that the range for x, 0° to 180°, means the range for 2x is 0° to 360°, and the second solution must be found in terms of 2x first.
Correct working:
- sin 2x = 0.5, and 2x lies between 0° and 360°.
- 2x = 30° or 2x = 180° − 30° = 150°.
- x = 15° or x = 75°.
Check: 2 sin 30° = 1 and 2 sin 150° = 1. Both correct.
So the focus is not “trigonometry” as a whole. It is how to transform the interval when the angle is a multiple of x. That is a one-lesson target, and it is precisely the pattern on our help page about losing valid solutions in a trigonometric interval.
How do I find my own two sticking points?
- Collect three to five questions you could not start or got wrong in the last few weeks. Include your working, however messy.
- For each, ask when it stopped. Did you not know what the question wanted? Did you know the idea but the algebra failed? Did the answer come out, but with lost marks?
- Sort them into the five kinds in the table above.
- Pick the two that appear most, and write each as a sentence about where the work stops.
- Bring the questions and your working to the lesson.
Our trial agenda builder helps you turn these sentences into a simple, printable agenda. Afterwards, the post-trial reflection guide helps you note what was clear and what was not.
What might a first-lesson agenda look like?
This is an example, not a fixed format. The teacher will adjust it to what you bring.
- First 5 minutes: you describe the two sticking points; the teacher asks what you tried.
- Next 20 minutes: you attempt one question on the first sticking point, speaking your thinking aloud while writing.
- Next 20 minutes: the teacher corrects how you began, and you attempt a similar question with a different twist.
- Final 15 minutes: the second sticking point, then a short plan for what to practise before any next lesson.
Notice that most of the hour is you working. A lesson where the teacher only explains can feel productive but rarely changes how you start questions.
Which topics suit a first lesson?
If your sticking point is tied to a topic, these modules hold the relevant lessons and practice:
- functions and restrictions for domain and inverse mistakes;
- quadratic structure and discriminants, where tangent and intersection questions begin;
- trigonometric equations and graphs, including interval work like the example above;
- stationary points and optimisation, for building models before differentiating;
- advanced non-calculator reasoning, for exact working.
The non-calculator working trainer is also useful before any lesson that focuses on exact answers.
What happens next?
The trial is paid, starts from RM80 at the assigned teacher’s confirmed rate, and the rate is confirmed before the lesson. Everything after the trial is agreed directly between you and the teacher. If you have not yet decided whether one-to-one teaching suits you, read whether Additional Mathematics tuition is right for you, or go straight to the Additional Mathematics tuition page to see how enquiry and assignment work.