Resources
Mathematics: Applications and Interpretation study guides
20 published, listed by title. Topic explanations written to be read once and understood.
All 20, by title
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Study Guides
IB Diploma Programme Mathematics: Applications and Interpretation: Syllabus Guide
The five content strands of IB Diploma Programme Mathematics: Applications and Interpretation – number and algebra, functions, geometry and trigonometry, statistics and probability, and calculus – with recommended teaching hours for SL and HL, for first assessment 2021.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – 3D geometry, triangle trigonometry, bearings and sectors Study Guide
Study guide to 3D solids, sine and cosine rules, bearings, elevation and sectors for IB DP Maths AI SL and HL (sections 3.1-3.4), with worked examples.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Composite and inverse functions, transformations, further models and logarithmic scales (HL) Study Guide
Study guide for IB Maths AI HL sections 2.7-2.10: composite and inverse functions, transformations, further models and log scales, with worked examples.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Correlation, regression and hypothesis testing Study Guide
Study guide to Pearson and Spearman correlation, the regression line, χ² tests and the t-test, with worked examples, for IB DP Maths AI SL and HL.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Data collection, non-linear regression, hypothesis tests and Markov chains (HL) Study Guide
IB Maths AI HL study guide: data collection, reliability and validity, non-linear regression and R², hypothesis tests, Type I/II errors, Markov chains.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Differential equations, slope fields, Euler's method and phase portraits (HL) Study Guide
HL study guide for IB DP Maths AI differential equations: separation of variables, slope fields, Euler's method and phase portraits, worked in full.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Differentiation, integration, optimisation and the trapezoidal rule Study Guide
Study guide to IB DP Maths AI SL calculus: limits, derivatives, tangents, integration, area, optimisation and the trapezoidal rule, with worked examples.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Functions and modelling Study Guide
Study guide for IB Maths AI functions and modelling: straight lines, functions and inverses, graphs, the six SL models and fitting them.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Further differentiation and integration, volumes of revolution and kinematics (HL) Study Guide
IB Maths AI HL study guide to chain, product and quotient rules, second derivatives, substitution, volumes of revolution and kinematics.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Geometry and Trigonometry Strand
Real-world spatial problems, triangle trigonometry, compound solids and, at HL, radians and circular functions, matrix transformations, vectors and graph theory – the strand with the largest SL-to-HL jump in IB Diploma Programme Mathematics: Applications and Interpretation, first assessment 2021, and its technology-driven approach.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Graph theory, adjacency matrices and network algorithms (HL) Study Guide
IB DP Maths AI HL graph theory study guide: graph terms, adjacency and transition matrices, MSTs, Chinese postman and TSP, with worked examples.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Laws of logarithms, rational exponents, infinite series and complex numbers (HL) Study Guide
Study guide for IB DP Maths AI HL sections 1.9-1.13: laws of logs, rational exponents, infinite geometric series and complex numbers, with worked examples.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Matrices, eigenvalues and eigenvectors (HL) Study Guide
Study guide to IB DP Maths AI HL matrices: algebra, inverses, solving Ax = b, coding messages, eigenvalues, diagonalization and powers.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Number, approximation, sequences and financial mathematics Study Guide
IB DP Maths AI study guide to standard form, sequences, compound interest, logarithms, rounding errors, loans, annuities and GDC equation solving.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Perpendicular bisectors and Voronoi diagrams Study Guide
Study guide to perpendicular bisectors and Voronoi diagrams for IB DP Maths AI SL and HL (sections 3.5-3.6), with fully worked examples.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Probability, discrete random variables, binomial and normal distributions Study Guide
Study guide to probability, Venn and tree diagrams, discrete random variables, binomial and normal distributions, with worked examples, for IB DP Maths AI.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Radians, the unit circle, matrix transformations and vectors (HL) Study Guide
Study guide for IB Maths AI HL sections 3.7-3.13: radians, the unit circle, matrix transformations, vectors, kinematics, scalar and vector products.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Random variables, the central limit theorem, confidence intervals and the Poisson distribution (HL) Study Guide
IB Maths AI HL study guide to linear combinations of random variables, the central limit theorem, confidence intervals and the Poisson distribution.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Sampling, data presentation and summary statistics Study Guide
Study guide to sampling methods, outliers, histograms, cumulative frequency, box plots, mean and standard deviation for IB DP Maths AI SL and HL.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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Study Guides
IB DP Mathematics: Applications and Interpretation – Statistics and Probability
Descriptive statistics, probability, distributions and inferential statistics – one of the two largest content strands of IB Diploma Programme Mathematics: Applications and Interpretation, first assessment 2021, and the technology fluency and interpretive skill it specifically rewards.
Mathematics: Applications and Interpretation · International Baccalaureate · IB
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