Analysis and Approaches and Applications and Interpretation, Standard and Higher Level, in the five topics of the syllabus.
Calculators. Graphing calculator expected, as in the exams. Analysis and Approaches keeps non-calculator Paper 1 practice.
Standard and Higher Level share one set of pages in each course; the Higher Level sub-topics are marked on each topic page. Each topic page lists its lessons in syllabus order. Every lesson has something to move that breaks a claim students get wrong, a worked example, questions that name the mistake you made, the calculator steps, and a teacher page. Coming from Year 11? The Coherence Map shows which Year 7 to 11 ideas each Diploma topic builds on. Every Diploma lesson on one page.
Standard form, sequences and financial maths, logarithms, and complex numbers and matrices at HL.
Modelling with linear, quadratic, exponential and sinusoidal functions.
Trigonometry in any triangle, Voronoi diagrams, and vectors and graph theory at HL.
Sampling, correlation and regression, distributions, and hypothesis tests.
Derivatives, optimisation and area, and kinematics and differential equations at HL.
Sequences and series, logarithms, the binomial theorem, proof, and complex numbers at HL.
Quadratics, rational, exponential and logarithmic functions, and transformations.
The unit circle, identities, circular functions, and vectors at HL.
Regression, conditional probability, and the binomial and normal distributions.
From the first limit to Maclaurin series, with integration and differential equations.
These pages are free and stay free, but they are general and your IA is not. Send me your research question, or whatever exists so far, and I will tell you in writing whether the topic has a ceiling on it, where the marks are going, and what to change first. That costs nothing and it comes back within 24 hours.
Written by a serving IB Diploma and Career-related Programme Coordinator and Head of Mathematics, who reads internal assessments across every subject group every year. If you then want the whole draft reviewed properly against all five criteria, that is the paid one, and it is refunded if it does not name at least three specific things to fix.
Already have a full draft? Have the whole thing reviewed against all five criteria, $99.