IB Math: Applications & Interpretation
Your modern toolkit for mastering IB Math AI — clear study guides, interactive tools, and topic-by-topic resources for SL and HL.
Number & Algebra
Core skills: rounding, sequences, finance, complex numbers, matrices, systems.
Number Skills
Approximation, rounding, decimals, significant figures, scientific notation, errors.
Open Study →Sequences & Series
Arithmetic & geometric sequences, sums, infinite series, sigma notation.
Open Study →Financial Mathematics
Compound interest, loans, depreciation, annuities, finance calculator.
Open Study →Functions
Function forms, applications, properties, transformations.
Linear Equations & Graphs
Forms of lines, gradients, intercepts, perpendicular bisector, parallel lines.
Open Study →Applications of Functions
Linear, exponential, sinusoidal, logistic, piecewise, direct/inverse variation.
Open Study →Properties of Functions
Domain & range, finding/interpreting composite & inverse functions.
Open Study →Transformations
Translations, reflections, stretches with scale factors, composite transformations.
Open Study →Geometry & Trigonometry
3D geometry, trigonometry, diagrams, vectors, transformations, graph theory.
Geometric Transformations
Transformation via matrices, reflections, stretches, rotations, translations.
Open Study →Statistics & Probability
Statistics, regression, probability, distributions, hypothesis testing, estimation.
Descriptive Statistics
Mean, median, mode, IQR, histograms, box plots, cumulative frequency.
Open Study →Bivariate Statistics
Scatter plots, correlation, regression, coefficient of determination.
Open Study →Hypothesis Testing
Significance levels, p-values, critical values, chi-square, t-tests, Type I/II errors.
Open Study →Estimation & Confidence Intervals
Data reliability, central limit theorem, confidence intervals.
Open Study →Calculus
Differentiation, integration, kinematics, differential equations.
Differentiation
Product/chain/quotient rules, tangents/normals, optimization, related rates.
Open Study →Integration
Antidifferentiation, areas, trapezoidal rule, substitution, volumes of revolution.
Open Study →Differential Equations
Slope fields, separable equations, Euler's method, phase portraits.
Open Study →📚 About This Course
IB Mathematics: Applications & Interpretation (AI) emphasizes mathematical modeling, real-world data, and practical applications. Both SL and HL develop skills in technology integration and mathematical communication, preparing students for diverse pathways in social sciences, natural sciences, medicine, statistics, business, and more.
This toolkit makes revision and exam practice efficient. Each card links to a focused guide for concept mastery and study strategies. Navigate through the topics to build confidence in applying mathematics to real-world contexts.
🛠️ Useful Tools & Resources
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