The backlog owed since 6 Oct was cleared with 11 of 12 items right first time and 0 blanks; a minus-bracket equation failed cold at the collecting line for the second day running. Ran 09:15-10:30 on the Friday consolidation block after the 09:00 warm-up; no new content; one item per message. Cold, no notes, 4/4 right first time in 11 min: multiplier for a 12 percent increase (1.12) and a 20 percent decrease (0.8); line through (2,5),(6,13) as y = 2x + 1, done mentally, no working written; the rule for two angles across a crossing, handwritten with her own diagram, name right and equality stated. Unlabelled estimated mean (calc): 5.3kg with units unprompted and all working typed, 15 min; the range asked for in the question was written as bounds on the total; midpoints added one by one rather than multiplied. Break 09:43 (1 min). Mixed set of four, non-calc, 09:44-10:10, ran in full: 15 percent off 80 gave 68 (no pound sign); 7 - 2(3x - 4) expanded and simplified first time; show that 0.7272... = 8/11 with the 100x and 99x lines uncued; 8 - 3(x - 2) = 2x + 4 gave x = 6 (line 1 right, collecting line wrong), right after 5 prompts in 11 min with one 'don't know' reply answered once narrowed. Break 10:10-10:14. Fresh equation 10 - 2(x - 3) = 3x + 1, no hints: four valid lines, x = 3. Perimeter-to-equation item (type skipped on the 7 Oct paper), first line only, untimed: 4x + 6 = 26 unaided, then solved to sides 8cm and 5cm. Linear equations demoted to developing. Sessions 77 and 88 owed work completed. Not run: a two-step angle item with reasons; inequalities (not planned for this block) still not opened. Topic updates and the lesson review follow in separate calls because the single call returned Bad Gateway three times.
FIRST the new topic, owed since 5 Oct: solving inequalities (A22, with the N15 notation): worked example beside the matching equation with her writing each line, say-back, two guided, four on her own; under way by minute 10. Before it, three cold, one per message, 5-minute cap: the multiplier for a 15 percent increase and for a 30 percent decrease (N11-N12, second separate day needed); one equation with a minus in front of a bracket, worded 'collect the plain numbers first, then solve' (A17: collecting line wrong cold on 8 and 9 Oct, right on a fresh item after rework). After a wrong line: a small sum, an either/or, then only the single next line, written by her, not supplied. For later: a two-step angle item with a diagram and 'give reasons' (G3, not set on 9 Oct); the rectangle perimeter item in full with the area asked (A21); untimed first lines on polygon sides (G3) and subject twice (A5); a show-that with 'x =' as its own line (N10).
New topic, solving inequalities, still not opened (planned since 5 Oct); 9 Oct was a no-new-content block. The cold questions, estimated mean and mixed set owed since 6 Oct are done.
No topic statuses were changed in this session.