← GCSE Mathematics

Session 34

2026-09-21 · 2026-W39 ✓ reviewed

What happened

The estimated mean owed since 18 Sep was done correctly with midpoints chosen unprompted and full working produced, then the twice-slipped interleaved S4/P8/R7-R8 practice set ran 5.5/6 set with 0 blanks before the session stopped at her request ("time is up") at Q6(b), about 32 minutes in, before Q7 and the exit ticket. Starter, non-calculator, 3/3, 0 blanks: A17 5(x+2) = 3x+16 UNLABELLED → "5x + 10 = 3x + 16, x = 3" (expansion line written, the 2x = 6 collection line skipped); N15 3.7 kg to 1 d.p. → 3.65 ≤ w < 3.75 with variable named; P4-P5 coin 7 heads in 10 → "10 coin flips is not enough ... and 7 is only 2 more than the expected amount" (small-sample reasoning retested and correct, plus an unprompted expected-value point). Estimated mean (calculator, fresh 4-group throws table, freq 4/9/11/6, total 30), told to write every line first: replied with the bare answer "21.3333333333" (correct, 640÷30); when asked for the lines gave the complete working 5×4=20, 15×9=135, 25×11=275, 35×6=210, sum 640, 4+11+9+6=30, 640/30. Midpoints chosen unprompted — the upper-bound method of 18 Sep did not recur. No range or sense-check stated; answer left unrounded, no units. Practice set (mixed, method not named): Q1 R7-R8 2:7 → 7/9 ✓ non-calc; Q2 S4 mean from pets frequency table → 1.05 ✓ calc, every line written unasked; Q3 P8 spinner P(red)=0.3 twice → (a) 0.09 ✓ (b) exactly one red 0.42 ✓ non-calc, working "0.3 × 0.7 = 0.21, 0.21 × 2 = 0.42" — routes combined with no prompt; Q4 S4 mode 7, median 10.5 from 12 numbers ✓ non-calc; Q5 P8 red or blue 8/10 → 4/5 ✓ simplified unprompted; Q6 R7-R8 (a) a:b = 2:5, fraction a = 2/7 ✓, (b) b in terms of a not answered — stopped. Q7 (exactly-one multi-route) and the 4-question S4 exit ticket not run. S4 stays developing pending adjudication: estimated mean now correct with written midpoint working, mean/median/mode correct, but no exit ticket has run and the working came on request.

Planned next

FIRST: finish the mixed practice set — Q6(b) "a:b = 2:5, write b in terms of a", then one exactly-one-of-two-events probability question (same shape as today's Q3b) — then the 4-question S4 exit ticket (mean from a list, mean from a frequency table, estimated mean from a fresh 4-group table with the midpoint × frequency lines written BEFORE the answer, median group). Exit 4/4 with working → S4 secure. Starter, no notes: one A17 equation labelled "method marks only" AND one unlabelled, record lines on each; one N10 recurring decimal stated "method marks only"; one S2 grouped-table boundary question. Do not prompt the range on the estimated mean; count whether working precedes the answer.

Unfinished unfinished · closed

Mixed practice set stopped at Q6(b) (b in terms of a for a:b = 2:5) with Q7 (exactly-one probability) not set; 4-question S4 exit ticket not run. Next session opens on Q6(b), one Q7-type question, then the exit ticket.

Unfinished: Mixed practice set stopped at Q6(b) (b in terms of a for a:b = 2:5) with Q7 (exactly-one probability) not set; 4-question S4 exit ticket not run. Next session opens on Q6(b), one Q7-type question, then the exit ticket. (S4, R7-R8, P8) — closed 2026-09-22 by session 38: completed in session 38

Resolved

What this session changed

TopicNameChangeEvidence recorded
S4Developing → Developing21 Sep: estimated mean from a fresh 4-group table (freq 4/9/11/6) → 21.33 correct; answer given bare first, then full working on request: midpoints 5/15/25/35 chosen unprompted, products 20/135/275/210, 640÷30. No range stated, unrounded, no units. Practice: mean from frequency table 1.05 ✓ with working unasked; mode 7 and median 10.5 ✓. Exit ticket not run.
A17Exam-ready → Exam-ready21 Sep starter, non-calc, UNLABELLED: 5(x+2) = 3x+16 → 5x+10 = 3x+16, x = 3. Correct; expansion line written, the collection line (2x = 6) skipped.
N15Secure → Secure21 Sep starter, non-calc: 3.7 kg to 1 d.p. → 3.65 ≤ w < 3.75, notation and variable correct. Third clean independent error interval (2, 11, 21 Sep).
P4-P5Secure → Secure21 Sep starter: 7 heads in 10 flips, 'biased' claim — gave small-sample reason unprompted plus '7 is only 2 more than the expected amount'. The small-sample reasoning loose end from 4 Sep is retested and closed.
P8Secure → Secure21 Sep practice, non-calc, 12 days after securing: P(red both) 0.09 ✓; P(exactly one red) 0.42 ✓ with '0.3 × 0.7 = 0.21, 0.21 × 2' written — routes combined with no prompt; P(red or blue) 8/10 → 4/5 ✓ simplified. Spaced retest passed; no add/multiply confusion.
R7-R8Secure → Secure21 Sep practice, non-calc: 2:7 → 7/9 ✓; a:b = 2:5 → a is 2/7 of total ✓. Writing b in terms of a not reached (session stopped).