← GCSE Mathematics

A22 Inequalities

Currently Developing · last touched 2026-11-02

Flip with a negative divisor not exercised on 2 Nov; moving the x term is a valid route that bypasses it. Secure still needs an unprompted item.

Every change

WhenChangeEvidenceSession
2026-11-02Developing → Developing2 Nov, non-calc: 12 - 3x > 3 opened 'i don't know'; after one narrow prompt, 12 > 3x + 3, 9 > 3x, 3 > x, all lines valid, x kept with wording cue, commas not new lines. Empty ring at 3, arrow left, no reminder. Her route kept x positive, so the flip was not tested. Prompted, so not the cold item owed for secure.session 138
2026-10-23Developing → Developing23 Oct, non-calc, exit ticket finished. Q2 -3n <= 12, n < 0: divide line, flip as its own line, letter kept, list -4,-3,-2,-1, right first time, 9 min. Q3 7 - 2x >= 1: -2x <= -6, x >= 3 (flip applied on the subtraction line), fixed after her x = 0 test and one 'which sign' ask; n for x on the redo line; final drawing right (filled dot at 3, arrow left). Exit ticket over two days: 2 of 3 clean unaided, 1 guided.session 133
2026-10-22Developing → Developing22 Oct, non-calc. Guided finish of -2n >= -8, n > 0: number tests -10 (out, own reason) and -4 (fits), n <= 4 with the flip after 'look at your checker', list 1,2,3,4. Cold unaided: -2x <= 10 -> n >= -5 (letter swapped, bare answer), filled ring at -5 and arrow right, no reminder; exit ticket -5x < 15 -> x > -3 with the divide line typed when asked, empty ring, arrow right. Negative divisor 2/2 unaided today after 0/2 on 20 Oct; exit ticket 1 of 3 run.session 130
2026-10-20Developing → Developinghomework #11 set 21 Oct, due 25 Oct: fresh negative-divisor items (-4x>=12 with test value, -4n>-14 integers, -3x<6 with own number line), plus one bracket item.standalone
2026-10-20Developing → Developingadjudicated paper #9 Q5: 1/3, why:bar, loss=knowledge (4(x−1) expanded as 4x−1; collecting and the inequality sign right from that line) — knowledge loss on a developing topic: no move, retrieval incorrect. 16 Oct: brackets 3/3 alone and 4(x−1) < 8 solved in three valid lines, so the ref may be set again.standalone
2026-10-20Developing → Developing20 Oct, non-calc. -2x at most 10 cold: first attempt used -2 and 10 as the line's ends; after number tests wrote x >= -5, ring at -5 empty first, filled after a prompt. Listing: Q5 0,1,2,3 right after one example; exit ticket -2n >= -8, n > 0 failed: flip dropped (n >= 4), n > 0 ignored, n = 5 said to fit. 1/2 on listing, 0/2 on negative divisor unaided.session 120
2026-10-16Developing → Developing16 Oct, non-calc. Dividing by a negative taught by number tests, rule chosen herself. Cold: x greater than 3 drawn right; 8/9/10 for x greater than 7. Hinted -3x at least 12: x at most -4 after a prompt. Unaided on paper, 4 items: -3x less than -9 and 4(x-1) less than 8 fully right; -4x greater than 8 had 8 divided by -4 as 32 (fixed when asked); -5x at most 20 dropped the 'or equal' (fixed after one question). 2/4 clean. Listing integers after solving untaught.session 111
2026-10-14Developing → Developingpaper #9 Q5: 1/3, loss=knowledge — 4(x−1) expanded as 4x−1; from that line collected terms and solved correctly (3x<12, x<4), inequality sign kept, working shown, 1 minsession 104
2026-10-13Developing → Developing13 Oct, non-calc. Number lines (taught 12 Oct) applied 4/4 unaided on paper, no hints: x at least 4, x greater than 1, x less than 8, x greater than 5; strict rings left empty, arrows the right way 4/4. Sorts 4/4 and signs in words 4/4 first time; 0 or 9 for x greater than 2 answered 9. Two signs in one line: taught, confirmed 2/2, applied 2/2 unaided on paper; read from a picture 2/2; integers listed 1/1. Dividing by a negative untaught. Proposed secure, for adjudication.session 99
2026-10-12Developing → Developing12 Oct, session 95, non-calc, typed, no hints, one per message: 4x + 3 less than 19 gave x less than 4 (2 lines, 1 min); 7x - 4 at least 3x + 12 gave x at least 4 (3 lines, 4 min); 2x + 9 at most 6x - 11 gave 5 at most x, then x at least 5 (5 lines, 4 min); 3(x - 2) greater than x + 8 gave x greater than 7 (4 lines, 4 min). 4/4 unaided, 14/14 lines valid, 0 blank. Method fill-in: same. Number lines opened: taught, confirmed 2/2, applied 1 of 3 right first time on paper.standalone
2026-10-10Developing → Developing10 Oct, non-calc, typed. Opened: taught and confirmed, apply not run. Three worked examples beside the matching equation, 10 of 11 lines valid (one first line miscopied '3x + < 14'). Guided, hints offered, none used: 6x - 5 > 2x + 7 -> x > 3; 3x + 10 <= 7x - 2 -> '3 <= x, x => 3'; all lines valid, 2/2. Numbers fitting x < 4 and x >= 4 sorted correctly. x >= 4 put as 'four or less' until she sorted numbers. No method say-back. 0 unaided items set.standalone
2026-10-05Developing → DevelopingMixed round Q4, non-calc, unaided: integers for −3 < n ≤ 2 → '-2, -1, 0, 1, 2', 5/5 values, strict and inclusive ends read correctly. Solving inequalities still not taught.session 71
2026-09-24Developing → Developing24 Sep starter, number line open −2 to filled 3 → '-2 < x <= 3' ✓ unaided, circles read correctly. Topic still not formally taught.session 43

In papers

AttemptPaperQMarksNote
Exam practice — week 42 · maths, lit, cs — GCSE Mathematics sectionexam-skills #951/3M0 bracket: 4(x−1) expanded as 4x−1 (only the first term multiplied). M1 terms then collected correctly from her line (3x<12). A0 x<4. Working shown, 1 min. loss=knowledge (expanding a bracket: multiply every term).

Materials

PILOT 16 Oct (Dad): run the Friday consolidate block on paper from one sheet
Run session 104's plan unchanged, but send it as ONE sheet message first: every step in order, written for her, no answers. Then speak only at 4 checkpoints, each from a photo: cold number lines; the 'mirror' teach for dividing by a negative + 2 unaided; 3 unaided area boxes + the bracket inequality; bar models, then log. She draws every diagram herself on A4, one page per photo. Evidence: drawn unaided y/n per diagram, redraw n/n, messages this block.
other
practice
Corbettmaths: Graphical Inequalities Practice Questions
Shading regions. 16 questions covering Videos 180-182, with video solutions.
practice
Corbettmaths: Quadratic Inequalities (Video 378)
Find Video 378 via Ctrl-F on the contents index. Higher-tier quadratic-inequality sub-skill.
video