IB DP Mathematics AA HL Flashcards
Maths in IBDP is required at either standard level or higher level. You can take two courses: Analysis & Approaches (AA) or Applications & Interpretations (AI). Each course covers the same 5 topics (Number & Algebra, Functions, Geometry & Trig, Statistics, and Calculus), with different focus and weightage. Higher level courses in both AI and AA cover content in-depth, and also harder topics.
Whereas Math AI focuses more on the practical applications of math, with emphasis on functions and statistics, Math AA is a more traditional course, with more emphasis on number & algebra, geometry & trig, and calculus. As for the actual content, you can refer to the subject guides for each course.
IB DP Mathematics AA HL Flashcards
IB Mathematics AA HL -Number and algebra
- Standard Form
- Arithmetic Sequences & Series
- Geometric sequences and series
- Compound interest
- Exponents and logarithms
- The sum of an infinite geometric sequence
- Binomial theorem
- Permutations and Combinations
- Partial fractions
- Complex numbers
- Polar Forms Euler’s Form
- Complex roots & de Moivre’s theorem
- Proof by Induction, Contradiction
- Systems of Liner Equations
IB Mathematics AA HL –Functions
- Equation of a straight line
- Function and their domain range
- Key features of graphs
- Composite/Inverse functions
- The quadratic function
- Roots of Quadratics
- The rational function
- Exponential & logarithmic functions
- Solving equations
- Transformations of graphs
- Polynomials
- More Rational Functions
- Odd & even functions
- Solving inequalities
- Absolute value graphs
Topic 3 Geometry and trigonometry – SL content
- SL 3.1 Distance , volume and Surface Area
- SL 3.2 Use of sine, cosine and tangent ratios
- SL 3.3 Applications of trigonometry
- SL 3.4 The circle radian measure of angles
- SL 3.5 Definition of cos , sin and tan angles
- SL 3.6 Pythagorean identities
- SL 3.7 Trigonometric Graph
- SL 3.8 Solving trigonometric equations
Topic 4 Statistics and probability – SL content
Topic 5 Calculus SL content
- SL 5.1 Concept of a limit
- SL 5.2 Increasing and decreasing functions
- SL 5.3 Derivative of f(x)
- SL 5.4 Tangents and normals at a given point, and their equations
- SL 5.5 Introduction to integration as anti differentiation of functions
- SL 5.6 Derivatives of xn , sinx , cosx , tanx
- SL 5.7 The second derivative
- SL 5.8 Local maximum and minimum values
- SL 5.9 Kinematic problems involving displacement, velocity and acceleration
- SL 5.10 Indefinite integral of xn , sinx, cosx, and ex
- SL 5.11 Definite integrals