“I understand the question, but I don’t know where to start.” If you have heard your Primary 5 child say some version of this, you have seen the exact moment bar models are designed to fix. It is rarely a sign that a child does not understand fractions or rate. It is far more often a sign that they cannot yet see the structure hiding inside a multi-step word problem.
This guide explains what the bar model method actually is, why multi-step problems trip up students who handle each individual concept just fine, and walks through a full worked example so you can see exactly how the technique works, not just that it exists.
A bar model uses simple rectangular bars to represent the known and unknown quantities in a word problem. The method originated in Singapore in the 1980s and now has a strong evidence base internationally, including recognition from education bodies in the UK.
Here is the part that matters most, and the part many parents miss. A bar model does not give your child the answer. It reveals the structure of the problem, showing clearly which operations are actually needed, before any calculation happens. This is what makes it powerful for multi-step problems specifically. It forces a child to slow down and translate a wall of text into a visual relationship first, rather than guessing at which numbers to add, subtract, multiply or divide. At Stepping Stones Learning Centre, this translation step is exactly where we spend the most time with pupils, because it is the skill that actually transfers across every topic, not just the one currently being taught.
A child can correctly find a fraction of a number in isolation and still freeze the moment a problem stacks two or three such steps together. This is not usually a maths gap. It is a language and structure gap.
Multi-step word problems bury several pieces of information inside ordinary sentences, and a child has to hold all of them in mind at once while figuring out how they connect. Bar models solve this by taking the holding-in-mind part off the child’s plate entirely. Once the relationship is drawn, it stays drawn, freeing up mental effort for the actual maths.
Bar modelling is not a single fixed technique that looks the same every year. It evolves in sophistication as problems get more complex. In lower primary, a single bar split into two or three parts is usually enough. By Primary 5, many problems need branching models, where a bar is split into parts, and one of those parts is then split again to represent a second layer of the problem.
This matters because a child who has only ever practised simple, single-split bars can genuinely struggle the first time a problem calls for a second layer, even though the underlying skill is the same idea repeated twice.
Here is a typical Primary 5 style problem. Sarah baked some cookies. She sold 2 fifths of them in the morning. In the afternoon, she sold 1 third of the remaining cookies. She had 24 cookies left. How many cookies did she bake at first?
Working through this with a branching model looks like this.
From here, the numbers fall out naturally. If 2 parts equal 24, then 1 part equals 12. Since the remaining-after-morning bar had 3 parts, that whole bar equals 36. Since the original bar had 5 parts and each part equals 12, the total is 60. Sarah baked 60 cookies.
Notice that the model did the hard work of holding the problem’s structure in place. The actual calculations, once the model is drawn, are simple division and multiplication.
The same visual thinking extends naturally to rate problems, even though the topic is different. Consider this example. A bakery sells buns at 3 for $2. At this rate, how much would 18 buns cost?
Rather than reaching for a formula, draw a single unit bar representing 3 buns costing $2. Since 18 buns is 6 times as many as 3 buns, repeat that same unit bar 6 times. Six units at $2 each gives a total of $12.
The technique is identical in spirit to the fraction example. Represent the known relationship as a bar, then use the model to see exactly how many times that relationship needs to be scaled, rather than trying to hold the whole calculation in your head at once.
Not every problem needs a branching model, and knowing when to reach for one is part of the skill.
One habit worth building early is having your child draw the bar to represent the relationship first, before writing any numbers at all. Numbers only get added once the shape of the problem is clear. If your child is still hesitating at this first step regularly, our Primary 5 Maths tuition programme puts deliberate practice into exactly this translation skill, rather than only drilling more practice papers.
Syllabus content shifts. Topics move between levels, exam formats get revised, and what counted as a Primary 5 topic a few years ago may sit at Primary 6 today. The bar model method is different. It is not tied to any single topic, which is exactly why it is worth mastering properly rather than treating it as one more thing to memorise for this year’s syllabus.
A child who can genuinely translate a multi-step problem into a bar model carries that skill into whatever topic comes next, fractions this year, something else entirely by the time PSLE arrives. If you would like support building this skill properly with your child, you are welcome to get in touch with our team.
It is a visual problem-solving technique where rectangular bars represent the known and unknown quantities in a word problem. Rather than giving the answer directly, the model reveals the structure of the problem, showing which operations are needed before any calculation takes place.
The difficulty is usually not the maths itself but holding several connected pieces of information in mind at once. Bar models solve this by giving the relationship a fixed visual form, freeing up mental effort for the actual calculation.
Yes. Rate problems work well with a repeated unit bar, where a known relationship, such as a price for a given quantity, is represented once and then scaled up or down to match the numbers in the problem.
A branching model splits a bar into parts, then splits one of those parts again to represent a second layer of the problem. It is particularly useful for fraction-of-the-remainder problems, where a second fraction applies only to what is left after the first step.
Yes. The method scales up rather than being replaced, supporting more complex, multi-layered problems as the syllabus advances. A pupil who has genuinely mastered the technique by Primary 5 generally finds Primary 6 problems more approachable, even as the specific topics change.
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