• Idea: "equal" is something you should SEE, not something you are told
  • The technique is taught first: cut it finer, same amount — times the top and bottom by the same number
  • The teach screen lets you cut a bar ×2 ×3 ×4 and see for yourself that it stays the same length
  • The wrong answers are the mistakes children really make, not random fractions
  • The main trap — adding to both instead of multiplying — is on every single board
  • A wrong pick gets no cross — the beam just tips and shows you which is heavier
  • Every fraction carries its own bar, and the two can be laid together at any time
  • Four levels, including running the rule backwards to simplify
  • verify:fractions proves all 240 boards in whole-number arithmetic — never decimals
  • Two misses → the bars appear on their own; four → a breath. Never a game-over
  • A harder mode: type the missing number instead of choosing from fourplanned
  • Follow on to adding fractions, using the same rule to find a common bottomplanned

✓ = done · ☐ = planned. Every game is built one step at a time like this.