Bar models for parents: Singapore Math word problems step by step

A bar model is a drawing that turns a word problem into rectangles. You draw a bar for each amount in the story, label what you know, mark what you need with a question mark, and only then do the arithmetic. Singapore Math uses it so children can see the problem before they solve it.

Why bar models help

Many children can add and subtract just fine, then freeze on a word problem. The trouble is usually the story, not the numbers. They do not know which operation to use, so they guess. A bar model slows that moment down. Once the story is on paper, the operation is often plain to see.

As a paramedic I learned to get the picture straight before acting. You figure out what is actually happening, then you treat it. Bar models ask a child for the same habit with a much smaller problem.

Step by step: a part whole problem

Here is a simple one. "Sam has 14 marbles. 6 are red and the rest are blue. How many are blue?"

1. Read the problem once all the way through. Ask your child to tell you the story in their own words.
2. Draw one long bar for the whole. Write 14 above it.
3. Split the bar into two parts. Label one part 6 and write "red" under it.
4. Put a question mark on the other part and write "blue."
5. Look at the picture. The whole is 14, one part is 6, so the missing part is 14 take away 6.
6. Solve it and write 8 in the empty part. Read the story back to check.

The drawing does not need to be neat or to scale. It only needs to show which amount is the whole and which are the parts.

Step by step: a comparison problem

"Mia has 9 stickers. Her brother has 5 more than she does. How many does her brother have?"

1. Draw one bar for Mia and label it 9.
2. Under it, draw a bar for her brother that starts at the same place. Make it as long as Mia's bar plus an extra piece.
3. Label the extra piece 5.
4. Put a question mark at the end of the brother's bar to show the total you need.
5. The picture shows 9 and 5 more, so add. The brother has 14.

Comparison bars are where bar models really earn their keep. "More than" and "fewer than" trip up a lot of kids, and lining the bars up makes the difference something they can point at.

How to practice at home

Keep it to one or two problems at a sitting. Let your child hold the pencil. If they get stuck, ask "What is the whole here?" or "Who has more?" instead of drawing it for them. When a drawing is wrong, ask them to read the story against it. They usually spot the mismatch.

Our bar models tool gives your child short word problems laid out with bar model structure, so the habit has somewhere to grow. If you are working through Primary Mathematics, I wrote about what we did next in after Singapore Primary Math.

Facts make the picture easier

My son cried over basic math facts, and that is why I built this site at the end of 2025. A bar model only helps if the arithmetic at the end does not swallow all of a child's attention. When 14 take away 6 is automatic, the drawing is the interesting part. Number bonds are a natural partner here, since a bond is a tiny part whole model, and Flash Cards cover the four operations.

Try Flash Cards for free.