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The Unit Staircase

A Game for Converting Metric Units

MathematicsPrimary, Secondary
Play The Unit Staircase →

A maths game to convert units without getting lost: you are asked to turn a quantity from one unit into another (3 km into metres, 250 cm into metres, 1.5 kg into grams…) and you type the result. The key is the metric staircase —km, hm, dam, m, dm, cm, mm—: each step down multiplies by 10 and each step up divides by 10. The game draws the staircase and marks the two steps, so you can see how many jumps there are and in which direction.

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Mathematics · Primary, Secondary

🧠 Pedagogical Benefits

The ×10 and ÷10 rule, turned into a picture

Instead of memorising loose factors, the pupil counts steps on the drawn staircase: down multiplies, up divides. Seeing the jumps prevents the classic mistake of moving the decimal point the wrong way.

Length, mass and capacity, one mechanic

km/m/cm, kg/g/mg and L/mL share exactly the same staircase. Practising all three with the same gesture makes it clear the metric system is one thing, not three different rules.

Typed on screen, no phone keyboard in the way

The result is entered with a built-in numeric keypad with a decimal point: no phone keyboard covering half the screen. Comfortable for practising on the sofa.

💡 Practical Example

"It asks you to turn 2.5 m into cm. On the staircase, m to cm is two steps down: ×100. The pupil types 250 and confirms. If they got it wrong, the game shows 2.5 m = 250 cm with the staircase highlighted."

📝 The staircase on paper

Prefer to learn without screens? Try this analogue version:

  1. 1

    Draw the staircase and write the units: km, hm, dam, m, dm, cm, mm.

  2. 2

    Mark which unit you start from and which you go to, and count the steps.

  3. 3

    Down, multiply by 10 per step; up, divide by 10 per step.

  4. 4

    Repeat with mass (kg…mg) and capacity (kL…mL): it is the same staircase.

🖨️ Ready-to-print materialCards already written, ready to cut out: history, geography, chemistry and more. Free, no sign-up.→

🎲 Similar activities you might enjoy

If you like The Unit Staircase, these activities work similar skills:

Measure for real

Measuring objects with a ruler and going from cm to mm or to m, or weighing in the kitchen and going from g to kg, anchors conversions in something tangible.

The unit-conversion exam

The same staircase with no game clock and a final mark, to review length, mass and capacity calmly.

Recipes and distances

Converting a recipe’s grams into kilos, or a trip’s kilometres into metres, turns the exercise into something with daily use.

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