← GCSE Mathematics

Session 38

2026-09-22 · 2026-W39 ✓ reviewed

What happened

The 4-question averages exit ticket finally ran and was 4/4 unaided with working written before every answer; yesterday's cut set finished 7/7, 0 blanks; a second mixed set ran 5/5 before she stopped ("times up") at ~55 min, two polish lines short. Starter, non-calc, no notes, 4/4, 0 blanks: A17 LABELLED method marks only 4(x−1) = 2x+10 → 3 working lines then x = 7; S2 more than 20 cm from a 4-group table → 15 ✓ answer only; A17 UNLABELLED 6(x+1) = 4x+16 → 6x+6 = 4x+16, 2x = 10, x = 5 (collection line written); N10 0.3636… labelled method marks only → bare "4/11", then on request "100x = 36.3636, 100x − x = 99x, 36/99 = 4/11" (99x = 36 omitted). Set finished: Q6(b) a:b = 2:5 → "b = a × 2.5" ✓; Q7 P(H) = 0.4 twice, exactly one head → "0.4 × 0.6 = 0.24, 0.24 × 2 = 12/25" ✓ routes combined and simplified unprompted. Exit ticket, independent, 0 blanks: Q1 mean of six → 60/6 = 10 ✓ with sum line; Q2 mean from siblings table → all product lines, 34/25 = 1.36 ✓; Q3 estimated mean, fresh table freq 5/12/8/5 → 10×5, 30×12, 50×8, 70×5, 1160/30 = 38.67 ✓, midpoints unprompted, every line BEFORE the answer without a second asking, rounded unprompted, NO units, no sense-check; Q4 median group 20 < t ≤ 40 ✓ bare. Second set (methods not named): P2-P3 pin 150/200 → 3/4 and 750 ✓ bare; G14-G16 trapezium 8, 12, 5 → "50cm2" ✓, formula not written, "10 × 5 = 50" on request; S4 median working — "i don't have that" (table scrolled), re-sent → "between the 15th and 16th value", group ✓, running total not written; R7-R8 y:x = 3:4 → "y = (x/4)*3" ✓; G14-G16 10×6 minus 3×2 → "54cm2" ✓. Stopped before the trapezium formula line and the running-total line. S4 to secure on the exit ticket; units on the last line and the median working line remain loose ends.

Planned next

FIRST (2 min): the two lines cut today — the trapezium formula from the sheet with 8, 12 and 5 substituted, then the running total 5, 17 → median group for the homework table. Starter, no notes: one N10 recurring decimal asked as "show that … = 4/11" (do the x/100x lines come first?), one S4 estimated mean with units NOT mentioned, one G14-G16 compound area, one A22-style inequality on a number line. Then open the queue's next gap: angles on parallel lines (G3), taught from the stored resources with the proper names (alternate, corresponding, co-interior), interleaved with one averages and one probability question in the practice set.

Unfinished unfinished · closed

Two polish lines not written before "times up": the trapezium area formula from the sheet with 8, 12, 5 substituted (she wrote only "10 × 5 = 50"), and the running-total line 5, 17 for the median group of the homework table. Open on both, ~2 minutes.

Unfinished: Two polish lines not written before "times up": the trapezium area formula from the sheet with 8, 12, 5 substituted (she wrote only "10 × 5 = 50"), and the running-total line 5, 17 for the median group of the homework table. Open on both, ~2 minutes. (G14-G16, S4) — closed 2026-09-24 by session 43: completed in session 43

Resolved

What this session changed

TopicNameChangeEvidence recorded
S4Developing → Secure22 Sep 4-question exit ticket, independent, 0 blanks, 4/4: mean of a list 10 with sum line; mean from frequency table 1.36 with all product lines; estimated mean from a fresh 4-group table 38.67 with midpoints chosen and every midpoint × frequency line written BEFORE the answer, unprompted, rounded unprompted; median group 20 < t ≤ 40 correct. Secure bar met. Units omitted on 38.67 (minutes); median group given bare, position/running total written only when asked.
A17Exam-ready → Exam-ready22 Sep starter, non-calc, no notes: labelled method marks only 4(x−1) = 2x+10 → 3 working lines then x = 7; unlabelled 6(x+1) = 4x+16 → 2 working lines then x = 5, collection line 2x = 10 written. Both correct.
S2Developing → Developing22 Sep starter: plants more than 20 cm from a 4-group table (11 + 4) → 15 correct, answer only. Third independent boundary question (11, 12, 22 Sep).
N10Developing → Developing22 Sep starter, labelled method marks only: 0.3636… → bare '4/11' correct; on request wrote 100x = 36.3636, 100x − x = 99x, 36/99 = 4/11, omitting 99x = 36. Third correct recurring decimal, third time the method came only when asked.
R7-R8Secure → Secure22 Sep, non-calc, unaided: a:b = 2:5 → b = a × 2.5; y:x = 3:4 → y = (x/4) × 3. Ratio-to-function direction (letter in terms of letter) now evidenced twice in one sitting, both correct. Notation informal but acceptable.
P8Secure → Secure22 Sep, non-calc, 13 days after securing: biased coin P(H) 0.4 twice, exactly one head → 0.4 × 0.6 = 0.24, × 2 = 12/25, routes combined and simplified unprompted. Not yet at the 3-week mark for exam-ready.
P2-P3Secure → Secure22 Sep, non-calc, 13 days after last check: pin 150/200 → 3/4 estimate and 750 expected in 1000, both correct, answer only. Calculation half automatic; estimate wording not tested today.
G14-G16Developing → Developing22 Sep, calc: trapezium 8, 12, height 5 → 50 cm² with units, formula not written despite being asked, '10 × 5 = 50' on request; rectangle 10×6 with 3×2 cut out → 54 cm² with units. Both correct unaided. First trapezium and first compound area tested.