Standards: 5.MD.1, 5.MD.2, 5.MD.3, 5.MD.4, 5.MD.5 · Measurement conversions, fractional line plots, volume by packing

Part 1 — Fill the Box: a transparent isometric box (up to 6×6×6) that fills one cube or one layer at a time, with alternating layer tints and the newest cube in gold; the stat cards reveal B only after a layer is complete, and the full-box message derives V = B × h = l × w × h from the counting rather than announcing it. L-Shaped Aquarium: big box plus tower rendered in two colors; the feedback adds the two volumes and also shows an alternative vertical cut giving the same total. Measurement Station: a class line plot of 14 pencil lengths in eighths; students add their own (gold X), and the feedback computes longest − shortest, most common, total laid end to end, and the equal share.
Part 2 — 8 lock-in challenges: layer counting, same-volume boxes, height from V ÷ B, composite volume, cm→m and quarts→cups, and two line-plot fraction problems.
Part 3 — Volume Machine (layer → stack → formula, optional second box to add), Conversion Machine (22 units across 7 groups; predicts direction before multiplying/dividing, flags cross-system pairs), Line Plot Machine (free data entry in halves/fourths/eighths → plot → difference, total by value × count, equal share).
Part 4 — Quiz, tiers: Box Engineer / Site Surveyor / Cube Counter / First Box.

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