S4 grouped data finished (estimated mean re-done correctly with a sense-check, median group taught and found correctly), after a 5/5 interleaved starter — session stopped at her request ("sorry out of time") before the practice set and exit ticket, so S4 has no independent evidence yet. Starter, all non-calculator, 0 blanks of 5: N1-N3 3 − 8 × (−2) → wrote 8 × −2 = −16 then 19 (ageing check after 10 weeks passed); A4 2(3x+1) − 5(x−4) → 6x + 2 − 5x + 20 → x + 22 with all four terms written and −5 × −4 = +20 correct (fourth clean expansion, wrote "1x"); R7-R8 red:blue 3:5 → 3/8 unaided four weeks after the 18 Aug retest, spacing loose end closed; N10 0.27 recurring → 3/11 correct but first working offered was "0.27 × 11 = 3/11", full x/100x/99x = 27/27/99 method produced only when asked for it, with one line written as "x − 100x"; P1 drawn FREQUENCY tree (80 people, dogs) photographed, counts only in every position, 35/45, 20/15, 30/15, all correct — the loose end open since 2 Sep closed on the third asking. S4 teach (calculator): asked for a rough range before calculating, gave 12.5–22.5 unprompted; midpoints 5/15/25/35 4/4; products 20/135/125/70 total 350 4/4; asked what to divide by, said 20 (total frequency, not 4 groups) — the exact error of 12 Sep did not recur; 350 ÷ 20 = 17.5 cm, checked against her range. Median group: position between 10th and 11th and group 10 < h ≤ 20 correct in one go; running total stated as 4 + 9 = 14 (calculation slip, answer unaffected), corrected. Every step guided one at a time; nothing on S4 was done independently.
Finish S4: the 4-question independent exit check on grouped data (mean from a list, mean from a frequency table, estimated mean from a fresh 4-group table, median group) — not run today. Do NOT prompt the sense-check range; see whether it appears unprompted. Then the interleaved practice this block was for (S4 mixed with P8 and R7-R8). Starter: one A17-style equation stated as "method marks only" to test whether working precedes the answer; one A4 minus-bracket expansion; G14-G16 bare triangle-area question (never actually tested).
Practice set and S4 exit ticket not run — stopped at her request straight after the median group was taught. Next session opens with a 4-question independent S4 check (grouped estimated mean + median group on a fresh table), then interleaved practice.
| Topic | Name | Change | Evidence recorded |
|---|---|---|---|
| N1-N3 | Secure → Secure | 15 Sep starter, non-calc: 3 − 8 × (−2) → wrote 8 × −2 = −16 first, then 19 when told to finish. Ageing check passed, 10 weeks since last touched. | |
| A4 | Secure → Secure | 15 Sep starter, non-calc: 2(3x+1) − 5(x−4) → 6x + 2 − 5x + 20 → x + 22, all four terms written, −5 × −4 = +20 correct. Fourth clean minus-bracket expansion (7, 9, 12, 15 Sep). Minor: wrote 1x. | |
| R7-R8 | Secure → Secure | 15 Sep starter, non-calc: red:blue 3:5, fraction red → 3/8 unaided, four weeks after the 18 Aug retest. The spacing loose end is closed. | |
| N10 | Developing → Developing | 15 Sep starter, non-calc: 0.27 recurring → 3/11 correct. First working offered was "0.27 × 11 = 3/11" (not a method); when asked how she got it, produced the full method unprompted: x = 0.2727…, 100x = 27.2727…, subtract, 99x = 27, 27/99 = 3/11. Wrote the subtraction as x − 100x. Second correct recurring decimal (2 Sep 0.444… → 4/9), first two-digit repeat. | |
| P1 | Secure → Secure | 15 Sep starter: drawn FREQUENCY tree (80 people, 35 men, 20 men with dogs, 30 women with dogs), photographed. Counts only, no fractions: 35/45, 20/15, 30/15, every pair summing to the box before it. Third asking; the probability-tree substitution of 10 and 12 Sep did not recur. | |
| S4 | Developing → Developing | 15 Sep, guided step by step: rough range 12.5–22.5 given unprompted when asked; midpoints 4/4; midpoint × frequency products 4/4 (total 350); divided by total frequency 20 not 4 groups → 17.5 cm, passing her own range; median group between 10th/11th → 10 < h ≤ 20 correct first time, running total mis-added as 14 (answer unaffected). No independent question run — session stopped before the exit ticket. |