Start here: what “worked solutions” mean on Revision

Dojo A worked solution on this hub is a mark‑scheme‑aligned, step‑by‑step method that shows setup, reasoning, calculator vs non‑calculator paths, common pitfalls, and final form. Every walkthrough references the exact command terms and techniques IB examiners expect, then links you straight into timed practice and instant feedback.

• Streams covered: Analysis & Approaches (AA) and Applications & Interpretation (AI).

• Alignment: solutions are built around IB paper formats and internal assessment expectations; RevisionDojo is independent and not endorsed by the IBO. See IB Math AA and IB Math AI.

How to use this hub (3-step loop)

1) Learn the method quickly

• Open the method note for your strand (e.g., implicit differentiation, binomial models, trig identities). Pair notes with explainer videos when available on IB Math AA. 2) Drill with feedback

• Jump into the Questionbank for targeted items; Jojo AI grades and explains in mark‑scheme terms. 3) Simulate the paper

• Run Exam Mode for timed conditions, topic mark breakdowns, and post‑mortem analytics. If you need a custom mix, assemble one in Test Builder.

Topic pathways at a glance (AA and AI)

Tip: Prefer AA for algebraic rigor and calculus depth; prefer AI for modeling, statistics, and interpretation. See stream overviews: IB Math AA and IB Math AI.

AA paper strategy: map your worked solutions to papers

• Paper 1 (non‑calculator): emphasize algebraic manipulation, exact forms, and structured reasoning. Durations: SL 90 min; HL 120 min. See IB Math AA.

• Paper 2 (calculator allowed): show calculator syntax alongside mathematics; annotate settings (e.g., radian/degree, regression model) and include checks. Durations: SL 90 min; HL 120 min. See IB Math AA.

• Paper 3 (HL only, calculator): model multi‑step investigations; state assumptions, justify methods, and validate with sensitivity checks. Duration: 60 min. See IB Math AA.

• IA (Mathematical Exploration, 20%): your worked solution becomes a reproducible method section; use Jojo AI for rubric‑aligned feedback in the Coursework Grader.

AI paper focus: modeling first, technique second

• Prioritize interpretation, parameter meaning, and model diagnostics; calculations should lead to decisions. For structure and topic coverage, start with IB Math AI, then drill with Questionbank and time yourself in Exam Mode.

What a high‑quality worked solution contains

• Setup: restate givens, draw a quick diagram (if applicable), identify the technique, and cite any identity or theorem used.

• Execution: show algebraic steps line‑by‑line; if calculator is allowed, include key inputs/menus; label intermediate results.

• Reasoning: explain why each step is valid (e.g., monotonicity to justify inverse, continuity for MVT, model assumptions for regression).

• Checks: units, domain/constraints, limiting behavior, reasonableness, and a second method when fast (e.g., derivative sign vs. second derivative).

• Final form: exact vs decimal per paper, with correct significant figures or radians/degrees as required.

Tools that power these solutions (links)

• Jojo AI (instant, rubric‑aligned help): ask “why” at any step; paste working for targeted hints. See Jojo AI.

• Questionbank (graded practice, no daily limits): thousands of IB‑style items with mark‑scheme feedback. See Questionbank.

• Exam Mode (true‑to‑paper timing + analytics): simulate conditions; get topic mark breakdowns. See Exam Mode.

• Test Builder (custom papers): assemble topic‑tagged sets; print with mark schemes or take online with instant feedback. See Test Builder.

• Notes & Flashcards: examiner‑written explanations and spaced repetition for formulas/identities. See Study Notes and Flashcards.

• Coursework Grader (IA drafts): upload PDF to receive criterion‑by‑criterion guidance. See Coursework Grader.

Coverage and evidence (AA resource depth)

• IB Math AA library includes topic‑by‑topic coverage and large practice sets: 10,782 questions, 1,570 explainer videos, 91 step‑by‑step lessons with quizzes, and 107 flashcard decks. See IB Math AA.

• Platform‑wide timed practice and feedback are provided through Exam Mode and Questionbank; both integrate Jojo AI for instant grading and explanations.

Worked‑solution templates you can copy

• Differentiation (chain/product/quotient): identify structure → expand/log‑diff if helpful → differentiate → factor/simplify → interpret (rates/extrema/concavity) → check endpoints/constraints.

• Integration (substitution/parts): choose u or substitution → transform limits (definite) → integrate stepwise → back‑substitute → check by differentiation → state exact value or required decimal.

• Trigonometric equations: normalize angle units → identity or substitution → solve on base interval → apply periodicity → filter by domain/context → verify extraneous solutions.

• Regression/modeling (AI emphasis): select model from context → fit parameters → residual analysis → interpret parameters → validate on hold‑out or alternative model → communicate decision.

FAQs

• Are these official IB solutions? No. RevisionDojo is independent of the IBO. Solutions are examiner‑aligned and IB‑style, with feedback powered by Jojo AI. See stream pages: IB Math AA and IB Math AI.

• How do I switch between non‑calculator and calculator methods? Follow the paper’s rules in each worked solution; we label both paths when relevant and recommend validating with Exam Mode.

• Can I build a custom set of only my weak topics? Yes—use Test Builder to select topics and question counts, then attempt online for instant feedback via Questionbank.

Attribution & independence

RevisionDojo is an independent provider and is not endorsed by the International Baccalaureate Organization (IBO). Feature and resource details above are documented on: IB Math AA, IB Math AI, Questionbank, Exam Mode, Test Builder, Study Notes, Flashcards, and Jojo AI.