IB Maths: Applications and Interpretation HL specification checklist
IB Maths: Applications and Interpretation HL specification checklist
0 of 78 subtopics ticked as confident
1Number and algebra
0 of 15 confident- 1.1
Scientific notation
- 1.2
Arithmetic sequences and series
- 1.3
Geometric sequences and series
- 1.4
Financial applications of geometric sequences and series
- 1.5
Laws of exponents and introduction to logarithms
- 1.6
Approximation and error
- 1.7
Amortization and annuities
- 1.8
Solving systems of linear equations and polynomial equations with technology
- 1.9
Laws of logarithms
- 1.10
Rational exponents
- 1.11
Sum of infinite geometric sequences
- 1.12
Complex numbers: Cartesian form
- 1.13
Complex numbers: polar and exponential forms
- 1.14
Matrices
- 1.15
Eigenvalues and eigenvectors
2Functions
0 of 10 confident- 2.1
Equation of a straight line
- 2.2
Concept of a function, domain, range and inverse
- 2.3
Graphs of functions and sketching
- 2.4
Key features of graphs
- 2.5
Modelling with functions
- 2.6
Modelling skills
- 2.7
Composite and inverse functions
- 2.8
Transformations of graphs
- 2.9
Further modelling functions
- 2.10
Logarithmic scaling and linearizing data
3Geometry and trigonometry
0 of 16 confident- 3.1
Three-dimensional geometry
- 3.2
Trigonometry in triangles
- 3.3
Applications of trigonometry
- 3.4
Arc length and sector area
- 3.5
Perpendicular bisectors
- 3.6
Voronoi diagrams
- 3.7
Radian measure
- 3.8
Unit circle and trigonometric identities
- 3.9
Matrix transformations
- 3.10
Vectors: concepts and algebra
- 3.11
Vector equation of a line
- 3.12
Vector applications to kinematics
- 3.13
Scalar and vector products
- 3.14
Graph theory: definitions and representation
- 3.15
Adjacency matrices and walks
- 3.16
Graph algorithms: trees, cycles and routes
4Statistics and probability
0 of 19 confident- 4.1
Sampling, data quality and outliers
- 4.2
Presenting data
- 4.3
Measures of central tendency and dispersion
- 4.4
Correlation and linear regression
- 4.5
Probability basics
- 4.6
Combined events and conditional probability
- 4.7
Discrete random variables and expected value
- 4.8
Binomial distribution
- 4.9
Normal distribution
- 4.10
Spearman's rank correlation
- 4.11
Hypothesis testing: chi-squared and t-tests
- 4.12
Data collection, reliability and validity
- 4.13
Non-linear regression
- 4.14
Linear combinations of random variables and unbiased estimates
- 4.15
Central limit theorem
- 4.16
Confidence intervals
- 4.17
Poisson distribution
- 4.18
Hypothesis testing: means, proportions, correlation and errors
- 4.19
Transition matrices and Markov chains
5Calculus
0 of 18 confident- 5.1
Limits and the derivative
- 5.2
Increasing and decreasing functions
- 5.3
Differentiating polynomials
- 5.4
Tangents and normals
- 5.5
Integration and area under a curve
- 5.6
Stationary points
- 5.7
Optimisation
- 5.8
Trapezoidal rule
- 5.9
Differentiation rules and related rates
- 5.10
Second derivative and concavity
- 5.11
Further integration
- 5.12
Areas and volumes of revolution
- 5.13
Kinematics
- 5.14
Differential equations: separation of variables
- 5.15
Slope fields
- 5.16
Euler's method
- 5.17
Phase portraits
- 5.18
Second order differential equations