NEW IB MATHEMATICS SYLLABUS 2025

Courses previously available in mathematics :

• Mathematical Studies Standard Level

• Mathematics Standard Level

• Mathematics Higher level

• Further Mathematics Higher Level 

The following are the courses :

• Mathematics: Analysis and Approaches SL

• Mathematics: Analysis and Approaches HL

• Mathematics: Applications and Interpretation SL

• Mathematics: Applications and Interpretation HL

Download Complete IB Maths Syllabus

Mathematics: Analysis and Approaches SL

Similar to?

Old Mathematics SL

Which Students should take this course?

• Students who are interested in mathematics

• Are fairly moderate at it

• Keen to study courses involving mathematics after high school (Eg. Economics & Sciences)

Topics Covered in Math AA SL

• Number and Algebra (19 Hours)

• Functions (21 Hours)

• Geometry and Trigonometry (25 Hours)

• Probability and Statistics (27 Hours)

• Calculus (28 Hours)

• Toolkit and Exploration (30 hours)

Changes Occured From Previous SL

Mathematics: Analysis and Approaches HL

Similar to?

Old Mathematics HL

Which Students should take this course?

• Students who love Mathematics 

• Are very strong at it 

• Interested in studying courses that highly involve math after high school (Eg. Engineering)

Get Free IB Trial Session Download IB Math eBook

Topics Covered in Math AA HL

• Number and Algebra (39 Hours)

• Functions (32 Hours)

• Geometry and Trigonometry (51 Hours)

• Probability and Statistics (33 Hours)

• Calculus (55 Hours)

• Toolkit and Exploration (30 hours)

Changes Occured From Previous HL

Mathematics: Applications and Interpretation SL

Similar to?

Old Math Studies

Which Students should take this course?

• Students who are not strong at math
• Do not plan to study any mathematics-based course after high school

Topics Covered in Math AI SL

• Number and Algebra (16 Hours)

• Functions (31 Hours)

• Geometry and Trigonometry (18 Hours)

• Probability and Statistics (36 Hours)

• Calculus (19 Hours)

• Toolkit and Exploration (30 hours)

Changes Occured From Previous SL

Mathematics: Applications and Interpretation HL

Similar to?

Unlike old courses

Which Students should take this course?

• Students who are strong at math
• Enjoy it
• don’t plan on studying any mathematics-based course after high school

Topics Covered in Math AI HL

• Number and Algebra (29 Hours)

• Functions (42 Hours)

• Geometry and Trigonometry (46 Hours)

• Probability and Statistics (52 Hours)

• Calculus (41 Hours)

• Toolkit and Exploration (30 hours)

Changes Occured From Previous HL

University Acceptance of IB Math

Download FREE IB Study Material

The Complete IB Maths Syllabus: SL & HL

If you are going through this syllabus, I suppose you are interested in taking this course or you are presently joined with this course. 

Courses and Ebooks available for IB Students (MYP & DP HL SL)  from Countries UAE, Singapore, Oman, Qatar, Bahrain, Kuwait, Saudi Arabia, Thailand, Malaysia etcc.

In this article, I am going to discuss every topic covered in the IB Maths Standard level and IB Maths higher level along with the number of hours dedicated to each topic.

You can download the Complete IB Math Syllabus & IB Maths Book from here.

Topic 4: Vectors

Longer Notes

• Packet: Matrices, Vectors

Quick Overview

• Concept of a Vector
• Representation of Vectors Using Directed Line Segments
• Unit Vectors and Base Vectors
• Algebraic and Geometric Vector Calculations
• Sum and Difference of Two Vectors
• Special Vectors
• Scalar Multiplication
• Magnitude of a Vector
• Position Vectors
• Scalar Product of Two Vectors
• Properties of the Scalar Product
• The angle between two vectors
• Perpendicular and Parallel Vectors
• Vector Equation of a Line
• The Angle Between Two Lines
• Distinguishing Between Geometric Cases of Lines Using Vectors
• Coincident Lines
• Parallel Lines
• Intersecting Lines
• Skew Lines
• Points of Intersection
• Vector Product of Two Vectors
• Properties of the Vector Product
• Vector Equation of a Plane
• Vector Equation Normal Form
• Cartesian Equation of a Plane
• Intersections With Planes
• A Line With a Plane
• Two Planes
• Angle of Intersections with Planes
• Line and Plane
• Plane and Plane

Topic 5: Statistics and Probability

Longer Notes

• Packet: Statistics Definitions, Charts and Graphs, Representing data, Standard Deviation
• Packet: Sets and Probability, Permutations and Combinations, Distributions

Quick Overview

• Measures of Central Tendency (Year 5 Maths)
• Mean
• Median
• Mode
• Measures of Spread
• Range
• Interquartile Range
• Variance
• Standard Deviation
• Adding and Subtracting Mean/Variance
• Discrete Distributions
• Uniform / Stick
• Binomial
• Geometric
• Poisson
• Negative Binomial
• Continuous Distributions
• Normal
• Z-value
• Probability Density Functions
• Central Limit Theorem
• Confidence Limits
• Hypothesis Testing – Known Variance
• Type I and Type II Errors
• Unknown Variance
• Confidence Limits – Unknown Variance
• Hypothesis Testing – Unknown Variance
• Matched Pairs
• Bivariate Data
• Probability Generating Functions (PGF)

Topic 6: Calculus

Longer Notes

• Packet: Differentiation, Max/Min, Parametrics, Kinematics
• Packet: Integration, Differentials, Even/Odd Functions, Induction
• Packet: Harder Integration Questions

Quick Overview

• Differentiation
• Differentiation by First Principle
• Exploring the Gradient Function
• Equations of Tangents and Normals
• Maximums and Minimums
• Points of Inflection
• Rates of Change
• Kinematics
• Parametric Equations
• Integration
• Exploring the Integral Function
• Integration Basics
• Finding Areas from Integrals
• Volumes of Revolution
• Separable Differential Equations
• The Trapezium Rule

Options – HL Only- 48 hours

IB Math HL students have to study one of the following from the four options:

Topic 7: Statistics and Probability

Topic 8: Sets, Relations, and Groups

Topic 9: Calculus

Topic 10: Discrete Mathematics

Useful Links

IB Mathematics Analysis and Approaches HL Preparation Guide