Download Complete IB Maths Syllabus

IB Maths SL & HL Topic-wise Table

Here is the table of IB DP Maths HL & SL Syllabus topics along with the minimum number of hours required to complete each Topic / Unit.

IB DP Maths Standard Level Syllabus 

SL (Standard Level) consists of 6 Topics in 140 hours.

IB DP Maths Higher Level Syllabus 

HL (Higher Level) consists of 6 + 1 = 7 Topics in 182 hours. (HL includes SL syllabus but a different amount of time for each Topic and one more additional topic for 48 hours)

Optional IB Maths Topics 

HL includes SL syllabus but a different amount of time for each Topic and one more additional topic from the below topics for 48 hours.

The Complete IB Maths HL & SL Syllabus with Topics and Sub-topics:

IB Mathematics Syllabus

Topic 1: Algebra (8 Hours)                                                                                                           

• Series and Sequences
• Exponents and logarithms
• Expansion of the Binomial Theorem

Topic 2: Functions and Equations (24 Hours)

• Inverse and composite functions, graphing functions on a GDC
• Transformations and their graphs
• Reciprocal function
• Quadratic function and formula, domain, range, the axis of symmetry
• Exponential function

Topic 3: Circular Functions and Trigonometry (16 Hours)

• The circle and applications of cos, sin, and tan in terms of circles
• Trigonometric equations infinite intervals
• Application of trigonometry in triangles

Topic 4: Matrices (10 Hours)

• Arithmetic, determinants, and inverses of matrices
• Identity matrix and zero matrix
• Solutions of systems of linear equations using inverse matrices

Topic 5: Vectors (16 Hours)

• Three-dimensional vectors
• Scalar product of two vectors
• Lines in the plane and three-dimensional space
• Coincident and parallel lines

Topic 6: Statistics and Probability (30 Hours)

• Concepts of discrete and continuous data
• Presentation of data   
• Cumulative frequency and standard deviation
• Outcomes of complementary, combined, independent, and mutually exclusive events
• Venn diagrams and tree diagrams
• Binomial and normal distributions

Topic 7: Calculus (36 Hours)

• Limits, derivatives, and convergence
• Chain rule, product and quotient rules
• Anti-differentiation with indefinite integration and boundary conditions
• Indefinite and definite integrals
• Kinematic problems
• Graphical behavior of functions