IB Maths: Analysis and Approaches HL specification checklist
IB Maths: Analysis and Approaches HL specification checklist
0 of 83 subtopics ticked as confident
1Number and algebra
0 of 16 confident- 1.1
Scientific notation
- 1.2
Arithmetic sequences and series
- 1.3
Geometric sequences and series
- 1.4
Financial applications of geometric sequences
- 1.5
Laws of exponents and introduction to logarithms
- 1.6
Simple deductive proof
- 1.7
Rational exponents, laws of logarithms and exponential equations
- 1.8
Infinite geometric series
- 1.9
The binomial theorem
- 1.10
Counting principles and extended binomial theorem
- 1.11
Partial fractions
- 1.12
Complex numbers in Cartesian form
- 1.13
Modulus–argument and Euler form
- 1.14
Polynomial roots, De Moivre's theorem, powers and roots
- 1.15
Proof by induction, contradiction and counterexample
- 1.16
Systems of linear equations
2Functions
0 of 16 confident- 2.1
Equations of straight lines
- 2.2
Functions, domain, range and inverse
- 2.3
The graph of a function
- 2.4
Key features of graphs
- 2.5
Composite and inverse functions
- 2.6
The quadratic function
- 2.7
Quadratic equations, inequalities and the discriminant
- 2.8
Reciprocal and simple rational functions
- 2.9
Exponential and logarithmic functions
- 2.10
Solving equations graphically and analytically
- 2.11
Transformations of graphs
- 2.12
Polynomial functions
- 2.13
Further rational functions
- 2.14
Odd and even functions; inverse with domain restriction
- 2.15
Solving inequalities
- 2.16
Modulus and further transformed graphs
3Geometry and trigonometry
0 of 18 confident- 3.1
Three-dimensional geometry
- 3.2
Right-angled and non-right-angled trigonometry
- 3.3
Applications of trigonometry
- 3.4
Radians, arcs and sectors
- 3.5
The unit circle and exact values
- 3.6
Trigonometric identities
- 3.7
Circular functions and their graphs
- 3.8
Solving trigonometric equations
- 3.9
Reciprocal and inverse trigonometric functions
- 3.10
Compound angle identities
- 3.11
Symmetry properties of trigonometric graphs
- 3.12
Vectors: concepts and algebra
- 3.13
The scalar product
- 3.14
Vector equation of a line
- 3.15
Relationships between lines
- 3.16
The vector product
- 3.17
Equations of a plane
- 3.18
Intersections and angles of lines and planes
4Statistics and probability
0 of 14 confident- 4.1
Populations, samples and data collection
- 4.2
Presentation of data
- 4.3
Measures of central tendency and dispersion
- 4.4
Correlation and regression of y on x
- 4.5
Basic probability
- 4.6
Combined, conditional and independent events
- 4.7
Discrete random variables
- 4.8
The binomial distribution
- 4.9
The normal distribution
- 4.10
Regression line of x on y
- 4.11
Formal conditional probability and independence
- 4.12
Standardisation and inverse normal with unknown parameters
- 4.13
Bayes' theorem
- 4.14
Discrete and continuous random variables
5Calculus
0 of 19 confident- 5.1
Limits and the derivative
- 5.2
Increasing and decreasing functions
- 5.3
Differentiating polynomials
- 5.4
Tangents and normals
- 5.5
Introduction to integration
- 5.6
Further differentiation rules
- 5.7
The second derivative
- 5.8
Stationary points, optimisation and inflexion
- 5.9
Kinematics
- 5.10
Indefinite integrals and substitution
- 5.11
Definite integrals and areas
- 5.12
Continuity, differentiability and first principles
- 5.13
Limits and l'Hôpital's rule
- 5.14
Implicit differentiation, related rates and optimisation
- 5.15
Further derivatives and integrals
- 5.16
Integration by substitution and by parts
- 5.17
Areas with the y-axis and volumes of revolution
- 5.18
Differential equations
- 5.19
Maclaurin series