May 20, 2024June 4, 2025Dhaval Desai1 Comment

DP Math AA Practice Topics

Topic 1. Number and algebra

Numbers – Rounding

Arithmetic sequences

Geometric sequences

Percentage change – Financial applications

Binomial theorem

Deductive proof

Methods of proof (Only for HL)

Mathematical induction (Only for HL)

Systems of linear equations (Only for HL)

Complex numbers (Cartesian form) (Only for HL)

Complex numbers (Polar form} (Only for HL)

Topic 2. Functions

Functions – Domain – Range – Graph

Composition – Inverse function

Transformations

Exponential Equations

Polynomials (Only for HL)

Rational-Modulus functions – Inequalities (Only for HL)

Symmetries of functions – More transformations (Only for HL)

Topic 3. Geometry and trigonometry

3D Geometry – Triangles

Arcs and Sectors

sin, cos, tan on the unit circle – Identities

Trigonometric equations

Trigonometric functions

More trigonometric identities – equations (Only for HL)

More trigonometric functions (Only for HL)

Basic algebra of vectors (Only for HL)

Vector equation of a line (Only for HL)

Vectors in Kinematics (Only for HL)

Cross product (Only for HL)

Planes (Only for HL)

Topic 4. Statistics and probability

Statistics – Basic Concepts

Statistics – Basic Concepts (Only for HL)

Linear regression

Probability I (Venn diagrams – tables)

Probability II (Tree diagrams)

Discrete distributions in general

Binomial distribution

Normal distribution

Continuous distributions in general (Only for HL)

Counting and probability (Only for HL)

Topic 5. Calculus

The concept of the limit

Derivatives – Basic rules

Tangent and Normal lines

Monotony and Concavity

The graph of f ΄

Indefinite integrals

Definite integrals – Areas

More derivatives (Only for HL)

Implicit differentiation – More kinematics (Only for HL)

Related rates (Only for HL)

Continuity – Differentiability – L Hopital (Only for HL)

More integrals – Further substitution (Only for HL)

Integration by parts (Only for HL)

Further Areas and Volumes (Only for HL)

Differential equations (Only for HL)

Maclaurin series- Extension of binomial theorem (Only for HL)

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