Maths Tip of the Day #9: Draw a Diagram if You’re Stuck

Sometimes when you’re faced with a tricky maths problem, the numbers and words just don’t seem to click. That’s when a simple but powerful strategy can make all the difference: draw a diagram.

It might sound basic, but it works — and it works well.

Why Drawing Helps

When you draw a quick sketch, you’re turning abstract information into something visual. That can help your brain:

  • Understand the relationship between different pieces of information

  • See patterns or missing steps

  • Simplify complex wording in word problems

  • Spot errors in reasoning before making a calculation mistake

In other words, a rough diagram can help unlock a problem and point you in the right direction.

When to Use a Diagram

Here are just a few times when drawing is especially useful:

🔹 Geometry Problems – Always sketch the shape, label sides, and angles. Even if it’s not to scale, it helps organise what you know.

🔹 Word Problems – Diagrams can turn a confusing paragraph into a simple picture. For example, draw people sharing, paths travelled, or objects being moved.

🔹 Fractions, Ratios, and Proportions – Visualise parts of a whole or how things compare. A bar model or pie-style drawing can make it easier to work out what’s happening.

🔹 Measurement and Area – Sketch rectangles, circles, or other shapes and mark the given values. This helps link the numbers to formulas.

🔹 Probability – Tree diagrams or tables help map out possible outcomes clearly.

It Doesn’t Have to Be Perfect

This isn’t about creating a masterpiece. Your diagram can be:

  • A stick figure

  • A rectangle with labels

  • A quick number line

  • A bar model or pie diagram

It just needs to make sense to you — and help you think more clearly.


Final Thoughts

Students often skip drawing because they think it wastes time. But in reality, a quick diagram can save time by making the path forward clearer. It also helps reduce careless mistakes and increases your confidence.

So next time you feel stuck, don’t sit there staring at the page — pick up your pencil and sketch it out. You’ll be surprised at how helpful it can be!

#MrDTeaches #MathsTips #VisualLearners #ProblemSolving #DrawToUnderstand #StudySmarter

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