Question: What share of the same 24 signs does each statement describe? Kit: B and fraction line. 35 = 3 + 7 + 12 + 8 + 5.
- 0–3: Hold one bar labelled
all 24 tried. A fraction comparison needs that same whole. - 3–10: Model
6/24 = 1/4,12/24 = 1/2,18/24 = 3/4on a 0-to-1 line. Then add8/24 = 1/3only as a hypothetical allocation for a later retest, not B's observed outcome. Explain equivalent parts by partitioning 24, not by changing the whole. - 10–22: Children place 1/4, 1/3, 1/2, 3/4 on the same blank line; justify
1/4 < 1/3 < 1/2 < 3/4. Label each source fact or hypothetical. A learner may use 24 counters to show 6, 8, 12 and 18. - 22–30: Consider the claim “three quarters stood, so every design should be used.” Reject that leap: 3/4 describes closing status including adjusted signs, not repeated durability or permission. Routes: 24 counters in equal groups; tactile 0–1 line with raised quarter/third/half markers; written/signed/AAC justification and a same-whole labelled diagram.
- 30–35: “Does 18/24 mean 18/18? Why not?” Key: no, 24 tried is the whole; 18 is a part. Response move: if 1/3 is placed at 1/4, divide the same bar into 12 equal units and locate 3/12 versus 4/12.
Another domain: Use 24 fictional exhibit labels, recipes cards or game prompts without changing the fractions. Home: mark halves, thirds and quarters on a single 0–1 line.