Code: AC9M6N03. Goal: represent and compare 5/4 and 3/2 on a 0–2 line. Prepare: 24-gap line or tactile equivalents, two equal unit strips.
- Launch · 2 min. Ask whether a fraction greater than 1 can still be marked on a number line. Yes, if the line extends beyond 1.
- Model · 5 min. On 0–2 with 12 equal gaps in each unit, mark
5/4 = 1 + 1/4 = 15/12at gap 15, and3/2 = 1 + 1/2 = 18/12at gap 18. Thus5/4 < 3/2by3/12=1/4. - Guided · 6 min. Locate
1 1/2at the same gap as3/2and6/4. Locate1 1/4with5/4. Ask why a second whole must match the first whole's length. - Choice · 6 min. D18-A/B/C: extended line, 12-beat loop over two cycles or art-tile strip. Show an equivalence and a reason for order.
- Exit · 4 min. “Is
5/4to the left or right of3/2?” Left. “How far?”1/4of the unit whole. - Note · 2 min. Record if learner labelled 1 at gap 12 and 2 at gap 24; recheck scale before fraction work.
Home/extension: Draw two matching strips and split each into four; extension: explain why 6/4=3/2 is one mark, not two.