IB syllabus
Every IB Math: Analysis and Approaches HL skill maps to a topic in the syllabus, so sessions cover what the exams test.

IB Math: Analysis and Approaches HL
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Every IB Math: Analysis and Approaches HL skill maps to a topic in the syllabus, so sessions cover what the exams test.
Share your teacher's syllabus, textbook, or pacing guide and sessions follow your child's actual class.
Aiming for a 7? Aristotle plans review back from your child's target grade and exam date.
IB exam prep
Aristotle tracks 241 IB Math: Analysis and Approaches HL skills, finds the ones costing your child points, and plans review back from exam day.
Follows the syllabus, unit by unit.
Your child talks it through. Aristotle coaches from the step that went wrong.
Any time before the exam. No booking.
See what's mastered and what's left.
Features
Talk things through, work side by side, and come back next time to a tutor who remembers where you left off.
Ask questions out loud, hear explanations in Aristotle’s voice, and interrupt whenever you need to.
Aristotle draws steps, diagrams, and images to help you learn visually.
Get practice problems tailored to the exact topics you’re struggling with.
From middle-school math to AP exams to SAT/ACT prep. We also build custom plans matched to state standards and specific courses.
Revisit session summaries, session whiteboards, and uploads in one place.
Aristotle can read and navigate any PDFs and images with the learner. That includes textbooks with hundreds of pages!
We break all subjects down into granular skills, then track mistakes and mastery on each one. Parents can see the whole picture at a glance.
Aristotle remembers every session: what you’ve covered, where you got stuck, how you like things explained. It picks up right where you left off.
The curriculum
Aristotle is designed to always know what to teach at exactly the right time.
Sample curriculum
* Click a topic to see the skills inside
Number and Algebra
Functions
Geometry and Trigonometry
Statistics and Probability
Calculus
The Mathematical Exploration
IB Math: Analysis and Approaches HL tutoring curriculum241 skills across 6 units
Number and Algebra
The guide's first topic: number forms, sequences and series with their financial applications, exponents and logarithms, formal proof, counting and the binomial theorem, and - at higher level - partial fractions, linear systems and complex numbers. Topics: Number Forms and Approximation, Sequences and Series, Financial Applications, Exponents and Logarithms, Proof, Counting and the Binomial Theorem, Partial Fractions and Linear Systems, Complex Numbers.
Functions
Straight lines, the function concept and graph features, the standard function families, and the transformations that relate their graphs. Topics: Linear Functions and Straight Lines, Functions, Graphs and Their Features, Quadratic Functions and Equations, Rational, Exponential and Logarithmic Functions, Polynomial Functions, Transformations and Function Symmetry, Graphical and Analytic Inequalities.
Geometry and Trigonometry
Three-dimensional solids, triangle trigonometry, radian measure and the unit circle, trigonometric identities and equations, and - at higher level - vectors, lines and planes in space. Topics: Three-Dimensional Solids, Triangle Trigonometry, Radians and the Unit Circle, Trigonometric Identities, Circular Functions and Trigonometric Equations, Vectors and Products, Lines and Planes in Space.
Statistics and Probability
Sampling and descriptive statistics, correlation and regression, probability, discrete random variables and the normal distribution. Topics: Sampling and Descriptive Statistics, Correlation and Regression, Probability, Discrete Random Variables, The Normal Distribution.
Calculus
Limits and the derivative, the rules of differentiation and their applications, integration, and - at higher level - differential equations and Maclaurin series. Topics: Limits, Continuity and First Principles, Differentiation Rules, Applications of Differentiation, Integration and Its Applications, Differential Equations, Maclaurin Series.
The Mathematical Exploration
The internally assessed mathematical exploration, worth 20% of the grade at both levels. Topics: The Mathematical Exploration.
A few things you might wonder before getting started.
Aristotle's IB Math: Analysis and Approaches HL course tracks 241 skills across 6 units, mapped to the IB subject guide, including Number and Algebra, Functions, and Geometry and Trigonometry. Every skill is linked to the skills it builds on, so the tutor always knows which parts of IB Math: Analysis and Approaches HL your child has mastered and what to teach next.
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