Code: AC9M6N03. Goal: use equivalent names to order common fractions and diagnose denominator-only reasoning. Prepare: 12-gap line/bars, D19 routes.
- Launch · 2 min. Display false claim: “
1/3 > 1/2because 3 > 2.” Ask which whole/mark would disprove it. - Model · 5 min. On the same 0–1 whole,
1/3=4/12and1/2=6/12, so1/3 < 1/2. A larger denominator of a unit fraction means smaller equal parts when the whole stays fixed. Do not turn this into an unsafe rule for every pair of fractions. - Guided · 6 min. Order
1/4, 1/2, 2/3as3/12,6/12,8/12. Learners compare another same-whole pair3/4and1/2using marks 9 and 6, then say why a different whole would change physical sizes. - Choice · 6 min. D19-A/B/C: evidence to a fictional exhibit maker, an error-repair dialogue or a tactile same-whole sequence. State an exact comparison and explain it.
- Exit · 4 min. A peer places
2/4to the right of1/2on one line. Repair: both equal6/12and occupy the same mark. - Note · 2 min. Distinguish a correct order with reasoning from a memorised slogan. Recheck a new pair without the model in view.
Home/extension: Draw a new line and give an adult a deliberate error to repair. Extension: show 3/6, 2/4 and 1/2 as one point with same-size whole.