Day 2 · Reversing a ratio changes its sentenceYear 11 Essential Maths · T1 W1–2 · Day 2 lesson

Goal: interpret Card B's two orderings before simplifying. 25 = 2 + 5 + 6 + 7 + 5.

1. 0–2: Read four amber and six blue cue cards aloud; offer texture labels so colour is not required.
2. 2–7: Model amber:blue 4:6 and blue:amber 6:4. Write “for every” sentences and show the physical tray has not changed.
3. 7–13: Learners decide whether 4:6 could answer a question explicitly asking blue:amber. They must cite the labels rather than only saying “no.”
4. 13–20: Routes: switch between the two labelled panels of the ratio order mat; annotate amber / blue then blue / amber table rows; speak, type or AAC two ordered ratio sentences. Each route includes a ten-card total check and says why order matters.
5. 20–25: Exit “Does 6:4 mean more cards were added?” Key: no, it describes the same tray in reversed order. Move: compare the two named group labels before comparing numbers.

Alternative domains: stage marks or invented garden markers. Optional/home: write two orderings for fictional 2 circle and 5 triangle symbols. Two more cases.