Model drawing should carry a student through PSLE and then be deliberately retired in Secondary 1. The switch to algebra is a translation, not a replacement — the reasoning is identical, only the notation changes. The unit in a bar model and the x in an equation are the same object, which is what makes the switch teachable.
The bar model is one of the genuinely excellent things about Singapore mathematics teaching. It makes abstract relationships visible to children who are years away from handling them symbolically. It is also, eventually, something students must let go of — and the handover is where a lot of difficulty lives.
It is worth being clear that nothing about the handover implies the model was a detour. It does exactly what it should for the age it serves: it makes relationships visible to a child whose working memory cannot yet hold them abstractly. The question is only when to hand over, and how.
Handled well, the transition takes a few weeks and the child keeps everything they had. Handled badly — usually by simply telling a student to stop — it costs both notations at once.
The model works because it externalises structure
Because it externalises the structure of a problem. A word problem holds several relationships at once, and a ten-year-old’s working memory cannot comfortably hold them all. Drawing them makes them available to look at rather than remember.
That also explains why model drawing helps most on precisely the questions students find hardest: the multi-step ones where something changes partway through. Those are the questions that overload working memory, and drawing is what unloads it.
The same principle survives the switch to algebra. Writing an intermediate line rather than holding it in your head is the identical strategy in different notation, which is one reason students who wrote their models properly tend to write their algebra properly too.
That is why model drawing helps most on exactly the problems students find hardest — the multi-step ones where something changes partway through.
The switch belongs in Secondary 1
Not during PSLE preparation. The model method is what the primary syllabus expects, and switching mid-preparation costs accuracy for no gain.
The switch belongs in Secondary 1, and it should be deliberate rather than accidental. Students who drift into algebra without being taught the translation tend to end up fluent in neither.
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Teaching the translation side by side
Side by side, for a few weeks. The student draws the model and writes the equation for the same problem, until they can see that the units in the model and the terms in the equation are the same objects wearing different clothes.
Then the model quietly drops away on its own, usually without the student noticing. Told simply to “stop drawing models”, students tend to lose both confidence and accuracy at once.
Still drawing models in Secondary 1
Common, and usually fixable in a few weeks. The signal to watch is timing: a student reaching correct answers via models is losing time they will need in examinations, and some questions ask specifically for an algebraic approach.
This is one of the most frequent things we address early in Secondary 1 math tuition, and the Secondary 1 past-year papers make the timing issue visible quickly.
What the translation looks like in practice
Take a standard problem: two quantities in the ratio 5:3, with a difference of 24. In model form, a child draws five units and three units, sees that the difference is two units, and reasons that one unit is 12.
In algebraic form, the same child writes 5x and 3x, sets 5x minus 3x equal to 24, and solves for x. The reasoning is identical. The unit in the model is the x in the equation.
Showing a student that correspondence explicitly — pointing at the unit and then at the x and saying they are the same thing — is usually the moment the translation clicks. It is a five-minute conversation that many students never have, which is why they experience algebra as a new subject rather than a new notation for something they already understand.
Model and equation, side by side
| Step | In a bar model | In algebra |
|---|---|---|
| Represent the unknown | One unit of the bar | x |
| Show the relationship | Five units against three units | 5x and 3x |
| Use the given difference | Two units equal 24 | 5x − 3x = 24 |
| Solve | One unit is 12 | x = 12 |
The reasoning is identical in both columns. The unit in the model is the x in the equation, which is the whole of what the translation asks a student to see.
Read next
This matters most at two points in a child’s school life: the Primary 6 year, when the model is still the expected method, and Secondary 1, when algebraic notation takes over. See also why strong PSLE students sometimes stumble in Sec 1 and the five things that change from P6 to Secondary 1. If you are still choosing a school, our list of primary schools in Singapore sets out each school’s programmes and strengths.
Frequently asked questions
My child finds model drawing harder than just calculating. Is that a problem?
It depends on the problems. A child who can solve simple problems mentally will find drawing tedious, and that is fine. The test is the multi-step problems — if they can hold those without a model, they genuinely do not need one.
Is the bar model still used in Singapore schools?
Yes. It remains central to the primary mathematics curriculum and is the expected approach for PSLE problem solving. The shift to algebraic methods belongs in secondary school, which is why the handover is a Secondary 1 issue rather than a primary one.
Should I teach my Primary 6 child algebra early?
Generally not. It rarely improves PSLE performance and can confuse a child still consolidating the model method. The exception is a student who has clearly outgrown models and finds them slow — for them, seeing the equivalent equation can be clarifying rather than confusing.
How do I know if my Secondary 1 child is still relying on models?
Look at timing rather than accuracy. A student reaching correct answers through models is often losing time they will need in examinations, and some questions ask specifically for an algebraic approach. A past-year paper under real time limits makes this visible quickly.
Does the model method have any use after Secondary 1?
As a thinking tool, occasionally — some students sketch informally to understand a complex problem before writing equations, and that is perfectly sound. What changes is that the model is no longer the working shown; it becomes scratch reasoning rather than the answer.
Do secondary schools expect algebra from the first term?
Broadly yes. Secondary 1 introduces algebra early precisely because everything afterwards is written in it, so the expectation builds through Term 1 and is assumed by Term 2. That is why the translation from model drawing is worth doing deliberately rather than leaving to chance.
What if my child prefers drawing models and resists algebra?
Resistance usually means the correspondence has not been shown clearly. Once a student sees that the unit in their model is the same object as the x in the equation, the resistance tends to fade, because algebra stops looking like a new subject and starts looking like shorthand for something they already do well.
A note on what we can and cannot promise: the patterns described here come from what we have seen in our own classes over the years. They are not a forecast for any individual student. Progress in mathematics is produced jointly — our teachers work hard for a student who is willing to put in the effort, with support at home. No tuition centre can promise a grade, and we do not.
Last reviewed July 2026. Syllabus details follow the Ministry of Education and SEAB published documents.
