IB Mathematics AA & AI Masterclass
Your exact course, your exact level, taught to a 7.
Syllabus updated August 2026
Flexible course duration
Duration depends on the student's background and pace. Beginners (kids / teens): typically 6 to 9 months. Adults with prior knowledge: often shorter, with an accelerated path.
For personalised duration planning, call +91 91233 66161 and we'll map a schedule to your goals.
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Program Overview
A full-Diploma live program matched to the student's actual IB course: Analysis & Approaches or Applications & Interpretation, at SL or HL. IB maths punishes generic tutoring, the two courses examine different things, AA runs a strictly non-calculator paper while AI assumes the GDC everywhere, HL adds an extended problem-solving paper, and the Internal Assessment is worth a fifth of the grade. This masterclass teaches the syllabus for genuine ownership, trains paper-specific technique on real past questions and mark schemes, builds GDC fluency as a scored skill, and coaches the Mathematical Exploration honestly, structure, criteria and critique, with the work staying the student's own under IB academic integrity rules.
What Makes This Program Different
- Course-exact teaching: AA and AI are different subjects here, as they are on exam day
- Non-calculator craft for AA Paper 1 and GDC power-workflows for AI, each trained deliberately
- The IA coached properly: topic selection against the actual criteria, milestones, mathematical depth and honest draft critique, never ghost-writing
- HL Paper 3 stamina built through olympiad-flavoured problem work
- Predicted-grade awareness: the arc aims at internal assessments too, because those set the number universities see
- MYP-era gaps repaired inline instead of ignored
- One dedicated mentor across the whole two-year arc
- Honest course-fit advice, including 'stay at SL' when that is the truth
Your Learning Journey
Career Progression
Detailed Course Curriculum
Explore the complete week-by-week breakdown of what you'll learn in this comprehensive program.
Full diagnostic: syllabus position, MYP-era gaps, GDC habits, and an honest course-fit read (AA vs AI, SL vs HL) with evidence
Topics Covered
- Full syllabus-position diagnostic across the five IB topic areas
- Locating MYP-era gaps in algebra and number
- Current GDC habits and calculator setup review
- Evidence-based AA vs AI course comparison
- SL vs HL demand and workload honesty
- Baseline record set up for later progress tracking
Practice & Assignments
Complete a short mixed diagnostic set and log every gap it exposes into a personal error log.
Exponents, logarithms and the laws that both courses assume, taught from meaning, drilled to fluency
Topics Covered
- Laws of exponents from first meaning
- Rational and negative indices
- Logarithms as the inverse of exponentials
- Laws of logarithms and change of base
- Solving exponential and logarithmic equations
- Fluency drills that both courses assume
Practice & Assignments
Work a fluency set converting between exponential and logarithmic form and solving equations without hesitation.
Sequences and series: arithmetic, geometric, sigma notation and financial applications (an AI favourite)
Topics Covered
- Arithmetic sequences and series
- Geometric sequences and series
- Sigma notation fluency
- Sum to infinity and the idea of convergence
- Compound interest and annuities (an AI favourite)
- Financial modelling contexts on the GDC
Practice & Assignments
Solve a mixed set that pairs pure sequence questions with a compound-interest financial application.
Proof and reasoning foundations: direct proof and mathematical writing habits (deeper for AA HL)
Topics Covered
- Direct proof structure
- Clear mathematical writing and notation
- Logical connectives and reasoning
- Counterexamples and disproof
- Deeper proof demands for AA HL
- Setting the standard for written working
Practice & Assignments
Write out two short direct proofs with full justification and correct notation.
Function anatomy: domain, range, composition and inverses, the material the whole DP silently assumes
Topics Covered
- Domain and range from meaning
- Function notation and evaluation
- Composite functions
- Inverse functions and their graphs
- One-to-one functions and the horizontal-line idea
- Why the whole DP silently assumes this fluency
Practice & Assignments
Build a reference sheet of domain, range and inverse for a set of standard functions.
Transformations and graph literacy; quadratics and polynomials to DP depth; the discriminant as an idea
Topics Covered
- Translations, stretches and reflections of graphs
- Reading graphs fluently
- Quadratics in vertex, root and factored forms
- The discriminant as an idea, not just a formula
- Polynomial behaviour and the factor theorem
- Sketching to DP depth
Practice & Assignments
Sketch a family of transformed graphs by hand, then confirm each on the GDC.
Exponential, logarithmic and rational functions with modelling contexts; GDC graphing workflows introduced properly
Topics Covered
- Exponential growth and decay models
- Logarithmic functions and scales
- Rational functions and asymptotes
- Modelling contexts drawn from data
- GDC graphing workflow set up properly
- Interpreting features straight from a graph
Practice & Assignments
Model a given real context with an exponential or rational function and justify the fit on the GDC.
Trigonometry rebuilt: unit circle, identities and equations (AA depth) / right-triangle and applied trig with bearings (AI emphasis)
Topics Covered
- Unit circle and exact values (AA depth)
- Trigonometric identities
- Solving trigonometric equations (AA)
- Right-triangle trigonometry (AI emphasis)
- Applied trig with bearings and angles of elevation
- Radian measure introduced
Practice & Assignments
Complete a split set: AA exact-value and identity work, AI applied bearings problems.
Vectors (AA HL) and 3D geometry; sine and cosine rules in applied problems
Topics Covered
- Vectors and vector operations (AA HL)
- 3D coordinate geometry
- The sine rule in non-right triangles
- The cosine rule and the ambiguous case
- Area of a triangle formula
- Applied problems combining the rules
Practice & Assignments
Solve a set of non-right-triangle problems, choosing the sine or cosine rule deliberately.
First past-paper season: question anatomy, mark-scheme logic, and the review ritual used for the next eighteen months
Topics Covered
- Anatomy of an IB exam question
- Command terms and what they demand
- Reading and applying mark schemes
- Method marks versus answer marks
- The review ritual used for the next eighteen months
- Building the error-log habit
Practice & Assignments
Sit one short past-paper section under time, then self-mark it against the real mark scheme.
Assessment
End-of-phase checkpoint: a timed past-paper section marked against the official scheme sets the Phase 1 baseline.
AA: limits and differentiation from first principles; the derivative toolkit including chain rule mastery. AI: descriptive statistics, correlation and regression on the GDC
Topics Covered
- AA: limits and the idea of a derivative
- AA: differentiation from first principles
- AA: derivative toolkit and chain rule mastery
- AI: descriptive statistics measures
- AI: correlation and Pearson r
- AI: linear regression on the GDC
Practice & Assignments
AA students differentiate a mixed set including chain-rule cases; AI students run a regression on a dataset and interpret it.
AA: applications, tangents, optimisation, kinematics; introduction to integration. AI: probability, distributions (binomial, normal) and interpretation craft
Topics Covered
- AA: tangents and normals
- AA: optimisation problems
- AA: kinematics with calculus
- AA: introduction to integration
- AI: probability rules and diagrams
- AI: binomial and normal distributions with interpretation
Practice & Assignments
AA students solve an optimisation and a kinematics problem; AI students compute and interpret binomial and normal probabilities.
AA: integration techniques and areas/volumes. AI: modelling cycle, choose, fit, critique and improve a model; matrices and networks (HL)
Topics Covered
- AA: integration techniques
- AA: definite integrals and area under a curve
- AA: volumes of revolution
- AI: the modelling cycle, choose, fit, critique, improve
- AI: matrices and their operations (HL)
- AI: networks and graph theory (HL)
Practice & Assignments
AA students find an area and a volume by integration; AI students fit and critique a model for a given dataset.
Topic selection against the five criteria: personal engagement that is real, mathematics that can score; proposal locked with milestones
Topics Covered
- The five IA assessment criteria explained
- Genuine personal engagement
- Mathematics chosen so it can actually score
- Scoping a workable exploration question
- A milestone plan for the IA
- Academic integrity expectations set from the start
Practice & Assignments
Draft three candidate IA questions and test each honestly against the five criteria.
Assessment
IA milestone: the exploration proposal is locked with a dated milestone plan.
The mathematics deepened: the mentor pushes rigour and aim while the student drives; communication and notation standards set
Topics Covered
- Pushing mathematical rigour in the exploration
- Meeting the aim criterion
- Communication and structure standards
- Correct notation throughout
- Student-led work with mentor questioning
- Keeping the exploration honestly the student's own
Practice & Assignments
Develop the core mathematics of your exploration and annotate where each criterion is being met.
Draft critique rounds: honest feedback against each criterion, reflection strengthened, and the final polish plan, the work staying the student's own throughout, per IB academic integrity rules
Topics Covered
- Honest critique against each criterion
- Strengthening the reflection
- Improving communication and presentation
- The final polish plan
- Academic integrity kept throughout
- Self-checking before submission
Practice & Assignments
Revise your IA draft against criterion-by-criterion feedback and record the changes you make.
Assessment
IA milestone: a full draft is reviewed against all five criteria before the final polish.
AA: further calculus (HL: deeper techniques, Maclaurin ideas); AI: hypothesis testing, chi-squared and t-tests with interpretation
Topics Covered
- AA: further integration and differentiation
- AA HL: deeper techniques and Maclaurin ideas
- AI: the logic of hypothesis testing
- AI: chi-squared tests for independence
- AI: t-tests and interpretation
- Reading statistical output critically
Practice & Assignments
AA students tackle a further-calculus set; AI students run and interpret a chi-squared or t-test.
HL students of both courses: Paper 3-style extended investigations introduced; SL students: consolidation cycles by error-log priority
Topics Covered
- HL: the structure of Paper 3 extended investigations
- HL: harvesting earlier parts of a problem
- HL: sustaining an unfamiliar investigation
- SL: consolidation by error-log priority
- SL: targeted retrieval of weak topics
- Both: connecting topics across the syllabus
Practice & Assignments
HL students attempt one extended investigation; SL students clear their top three error-log items.
Assessment
End-of-phase checkpoint: HL students are marked on a Paper 3 style investigation and SL students on a targeted consolidation set.
Final syllabus topics per course and level, taught early enough to settle: remaining probability/statistics (AA), remaining calculus for AI HL, kinematics and applications
Topics Covered
- Remaining probability and statistics (AA)
- Remaining calculus for AI HL
- Kinematics and applied problems
- Any outstanding course-specific topics
- Topics taught early enough to settle
- Linking new topics back to earlier work
Practice & Assignments
Complete a set on the last new topics for your exact course and level.
Full-syllabus connection map built by the student; spaced retrieval cycles across all five topic areas
Topics Covered
- Building a personal syllabus connection map
- Linking the five topic areas
- Scheduling spaced retrieval
- Interleaving topics in practice
- Identifying weak links to revisit
- Preparing for full paper cycles
Practice & Assignments
Build a one-page connection map of the whole syllabus and schedule your spaced retrieval.
AA Paper 1 non-calculator craft: exact values, structure recognition and clean written working. AI: GDC speed workflows for every paper
Topics Covered
- AA: exact-value fluency
- AA: structure recognition inside questions
- AA: clean written working for method marks
- AI: GDC speed workflows
- AI: efficient graphing, solving and regression
- Acceptable use of technology
Practice & Assignments
AA students complete a non-calculator set; AI students time their GDC workflows on typical questions.
Paper 2 technique: extended structured questions, method-mark discipline and time allocation from personal data
Topics Covered
- Strategy for extended structured questions
- Method-mark discipline
- Time allocation from personal data
- Recovering from a stuck part
- Presentation that earns follow-through marks
- GDC use within Paper 2
Practice & Assignments
Sit a Paper 2 section and log your time per question to set personal pacing targets.
HL Paper 3: long unfamiliar investigations, harvesting earlier parts, keeping momentum, and the calm that stamina training buys
Topics Covered
- Long unfamiliar investigations
- Harvesting earlier parts to reach later ones
- Keeping momentum through difficulty
- Managing time across a long problem
- The calm that stamina training buys
- Reviewing Paper 3 against the scheme
Practice & Assignments
Complete a full HL Paper 3 style investigation under time and review it against the mark scheme.
Full timed past-paper cycles by exact course and level, reviewed against real mark schemes; error-log closure
Topics Covered
- Full timed past-paper cycles
- Papers for the exact course and level
- Marking against real mark schemes
- Error-log closure
- Spotting patterns across mistakes
- Refining exam-day strategy
Practice & Assignments
Sit a full timed paper, self-mark it, and close the error-log items it reveals.
Assessment
Mock checkpoint: full timed papers are marked against official schemes and score progression is recorded.
Peak plan: final consolidations, rest discipline, exam-day routines, and the session met as a rehearsed place
Topics Covered
- Final targeted consolidations
- Rest and recovery discipline
- Exam-day routines
- GDC and materials checklist
- Managing nerves through rehearsal
- Meeting the session as a rehearsed place
Practice & Assignments
Run a final light consolidation and rehearse your full exam-day routine.
Assessment
The IB examination session: papers are sat for the student's exact course and level.
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Prerequisites
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