Per Capita for teachers
A five-minute exercise in the most useful question in statistics: compared to what?
Every ranking by total hides a second story. The biggest country tops most of them, mostly because it has the most people. Students who have only met normalization as “divide by population” can do the arithmetic without ever feeling why it matters.
Per Capita makes them feel it. Each round hands students a ranking that is true and misleading. They drag it into the order they think holds per person, defend every move, and only then see the numbers. The correction lands because they’ve already committed to an answer.
Why it works
- The wrong answer is built in. The starting order is correct by total, so every move is a small argument against it.
- Estimate first, calculate second. The numbers stay hidden until the reveal, so students reason about size and scale instead of reaching for a calculator.
- It travels. Once students ask “per what?” of a game ranking, they start asking it of headlines, ads and dashboards.
- It’s quick. Five minutes, no prep, nothing to set up.
- Free
- No accounts or logins
- No personal data collected
- Projector and Chromebook friendly
What students practice
- Normalization. Why we divide by population before comparing.
- Estimation and number sense. Reasoning about size and scale without a calculator.
- Totals versus rates. Spotting when a ranking reflects size rather than performance.
- Questioning sources. Every round names its data source and year.
- Explaining their thinking. Defending a move out loud is the whole routine.
It fits naturally into statistics, geography, economics and environmental science units.
A five-minute routine
- 0:00 Set it up. Project today’s game and read the prompt aloud. Ask which of the five countries has the most people, and which the fewest.
- 0:45 Commit. Have the class call the per-person order. Take one move at a time and ask “why there?” before anyone drags. Everyone commits before the reveal.
- 2:30 Reveal. Compare the class’s order with the true one. Which country moved the most?
- 3:30 Explain. Read the short note together, then look at the source line and ask where the numbers came from.
- 4:30 Wrap. One sentence on the board: “A total tells us ___. Per person tells us ___.”
Want more? Each round takes about a minute, so a full day of five fits a longer lesson opener.
Variations
- Pairs on devices. Each pair plays the day, then compares scores and arguments.
- Estimate first. Before the reveal, students write down their guess for one country’s per-person figure, then check it.
- Exit ticket. Ask for one ranking where per-person would change the story, and one where it wouldn’t.
Discussion prompts
- When is a total the right number to use?
- When does per-person change the decision?
- Where did this data come from, and who collected it?
- Which country moved the most, and what does that tell you about its size?
- The game hides the numbers on purpose. What did you use instead?
- When might a per-person figure hide something important?
Good to know
Shared devices
Progress is saved in the browser. On a shared Chromebook, the next student will find the day already finished. Use a private window for each student, or project it for the whole class.
When does the next game appear?
At midnight local time, so it’s ready first thing in the morning. Everyone plays the same five rounds each day. Past days aren’t available yet.
How accurate is the data?
Every round uses one statistic from one named source and year, and the reveal shows both, along with the population source. Figures are rounded for display only. Per-person values are calculated, not typed in.
Accessibility
Every move works without dragging: buttons, taps or a keyboard. Moves are announced for screen readers, and reduced-motion settings are respected.
Privacy
No accounts, no logins, no ads. Students’ progress stays in their browser. We use anonymous, aggregate usage analytics only. Details are in the privacy note.
Classroom pack
A printable worksheet and teacher’s guide (PDF) is on the way. This page will link to it when it’s ready.