S4 averages, taught from a list through frequency tables to grouped data. Starter 5/5 on the maths: shoe-size table total 24 and 12 above size 5 (boundary reading correct again), mean of a five-number list, 3(x+4) = 2(x−1) → x = −14 WITH the expansion line written out unprompted, and a reverse percentage 63 ÷ 0.7 = £90 on non-round numbers. Q1 asked for a drawn FREQUENCY tree; she drew a correct PROBABILITY tree instead — all counts right (50/40, 32/18, 29/11) and the answer 11 correct, but presented as fractions on branches rather than counts in boxes. The distinction was taught: probability tree branches sum to 1, frequency tree boxes sum to the count above them. Mean/median/mode/range from a list: 3/4, with the median-of-six halfway step handled correctly; only slip was rounding 34/6 to 5.7 unasked — do not round unless told. Mean from a frequency table taught with the size × frequency row; goals table 3/3 including the modal-value-not-frequency trap. Median from a frequency table taught by counting positions; pets table 3/3 including the 13th-position median and the range taken from values not frequencies. Estimated mean from grouped data taught with midpoints; she gave all four midpoints correctly, then produced 2.67 cm for the mean of plants between 0 and 40 cm — a division error, and no sense-check applied. Session ended there; the median group was never reached.
Finish S4: re-do the estimated mean from grouped data (the plant-heights question went wrong on the division and was not corrected by her), then the median group from grouped data, which was never reached. Starter: one drawn FREQUENCY tree with counts only — still outstanding — and one estimated-mean question with a sense-check built in.
| Topic | Name | Change | Evidence recorded |
|---|---|---|---|
| S4 | Gap → Developing | Taught 12 Sep. Mean, median, mode and range from a list 3/4; mean and mode from a frequency table 3/3; median from a frequency table 3/3 including the single-position median and the range taken from values. Grouped-data midpoints 4/4, but the estimated mean itself came out as 2.67 cm for data spanning 0–40 cm and was not sense-checked. Median group never reached. | |
| P1 | Secure → Secure | 12 Sep starter: asked for a drawn frequency tree, produced a correct probability tree instead — all counts right and the answer correct, but fractions on branches rather than counts in boxes. Four consecutive probability trees appear to have made it automatic. | |
| A17 | Exam-ready → Exam-ready | 12 Sep starter: 3(x+4) = 2(x−1) → x = −14, with 3x+12 = 2x−2 written out unprompted — the expansion line she skipped on the 8 Sep exam-ready retest. | |
| S2 | Developing → Developing | 12 Sep starter: shoe-size table, 24 in the class and 12 above size 5, excluding the size-5 group correctly. Second independent boundary question after a one-day gap. | |
| R9 | Secure → Secure | 12 Sep starter: jacket reduced 30% to £63, original £90 via 63 ÷ 0.7. Non-round reverse percentage, correct. |