International Baccalaureate · IB Diploma
Mathematics: Applications and Interpretation · SL
Papers, samples and curriculum documents for this course. · Papers, amostras e documentos curriculares deste curso.
Handouts, exercise sheets and slides
Shared topic documents retain their source course and topic titles. Use your chosen board’s specification for coverage, tier and exam requirements.
Handouts · Material de apoio · A-Level Mathematics · Matemática do A-Level (5)
Exercise sheets · Folhas de exercícios · A-Level Mathematics · Matemática do A-Level (33)
- 1.1 Quadratics · 1.1 Quadráticas
- 1.2 Functions · 1.2 Funções
- 1.3 Coordinate geometry · 1.3 Geometria analítica
- 1.4 Circular measure · 1.4 Medida circular
- 1.5 Trigonometry · 1.5 Trigonometria
- 1.6 Series · 1.6 Séries
- 1.7 Differentiation · 1.7 Diferenciação
- 1.8 Integration · 1.8 Integração
- 2.1 Algebra · 2.1 Álgebra
- 2.2 Logarithmic and exponential functions · 2.2 Funções logarítmicas e exponenciais
- 2.3 Trigonometry · 2.3 Trigonometria
- 2.4 Differentiation · 2.4 Diferenciação
- 2.5 Integration · 2.5 Integração
- 2.6 Numerical solution of equations · 2.6 Solução numérica de equações
- 3.1 Algebra · 3.1 Álgebra
- 3.2 Logarithmic and exponential functions · 3.2 Funções logarítmicas e exponenciais
- 3.3 Trigonometry · 3.3 Trigonometria
- 3.4 Differentiation · 3.4 Diferenciação
- 3.5 Integration · 3.5 Integração
- 3.6 Numerical solution of equations · 3.6 Solução numérica de equações
- 3.7 Vectors · 3.7 Vetores
- 3.8 Differential equations · 3.8 Equações diferenciais
- 3.9 Complex numbers · 3.9 Números complexos
- 5.1 Representation of data · 5.1 Representação de dados
- 5.2 Permutations and combinations · 5.2 Permutações e combinações
- 5.3 Probability · 5.3 Probabilidade
- 5.4 Discrete random variables · 5.4 Variáveis aleatórias discretas
- 5.5 The normal distribution · 5.5 A distribuição normal
- 6.1 The Poisson distribution · 6.1 A distribuição de Poisson
- 6.2 Linear combinations of random variables · 6.2 Combinações lineares de variáveis aleatórias
- 6.3 Continuous random variables · 6.3 Variáveis aleatórias contínuas
- 6.4 Sampling and estimation · 6.4 Amostragem e estimação
- 6.5 Hypothesis tests · 6.5 Testes de hipótese
Presentation slides · Slides de apresentação · A-Level Mathematics · Matemática do A-Level (5)
Course units and learning goals · Unidades do curso e objetivos de aprendizagem
These lessons teach selected course objectives. Check the remaining coverage gaps; the material is not a complete preparation programme. · Estas aulas ensinam objetivos selecionados do curso. Verifique as lacunas de cobertura restantes; o material não é um programa completo de preparação.
1 · Number and algebra · Números e álgebra
- Exact arithmetic and estimation: A prime number that divides the integer exactly.
- Percentages, ratio and proportional reasoning: A factor that performs a percentage change in one multiplication.
- Sequences, series and recurrence: The constant multiplier between consecutive terms of a geometric sequence.
- Regression, financial models and residuals: The observed value minus the value predicted by a fitted model.
- prime factor
- A prime number that divides the integer exactly.
- multiplier
- A factor that performs a percentage change in one multiplication.
- common ratio
- The constant multiplier between consecutive terms of a geometric sequence.
- residual
- The observed value minus the value predicted by a fitted model.
2 · Functions · Funções
- Domains, inverses and composition: The set of allowed inputs to a function.
- Regression, financial models and residuals: The observed value minus the value predicted by a fitted model.
- Exponentials, logarithms and modelling: The time for a decaying quantity to fall to half its initial value.
- domain
- The set of allowed inputs to a function.
- residual
- The observed value minus the value predicted by a fitted model.
- half-life
- The time for a decaying quantity to fall to half its initial value.
3 · Geometry and trigonometry · Geometria e trigonometria
- Angle reasoning, similarity and mensuration: The multiplier that relates corresponding lengths in similar shapes.
- Right triangles and non-right triangles: The side opposite the right angle in a right-angled triangle.
- scale factor
- The multiplier that relates corresponding lengths in similar shapes.
- hypotenuse
- The side opposite the right angle in a right-angled triangle.
4 · Statistics and probability · Estatística e probabilidade
- Data summaries, histograms and interpretation: Frequency divided by class width, used as histogram height.
- Probability, trees and conditional reasoning: The probability of an event after restricting the sample space to a stated condition.
- Binomial, normal and Poisson models: The probability-weighted mean of a random variable.
- Hypothesis testing and contextual conclusions: The chosen probability threshold for rejecting a null hypothesis.
- frequency density · densidade de frequência
- Frequency divided by class width, used as histogram height.
- conditional probability
- The probability of an event after restricting the sample space to a stated condition.
- expected value
- The probability-weighted mean of a random variable.
- significance level
- The chosen probability threshold for rejecting a null hypothesis.
5 · Calculus · Cálculo
- Derivatives and stationary points: The instantaneous rate of change, also the gradient of a tangent.
- Root finding and numerical integration: A repeated update in which each new approximation is calculated from the previous one.
- derivative
- The instantaneous rate of change, also the gradient of a tangent.
- iteration
- A repeated update in which each new approximation is calculated from the previous one.
IA · School-supervised mathematical exploration · Exploração matemática supervisionada pela escola
- Planning a mathematical exploration: A condition adopted to make a mathematical model possible and whose effect should be evaluated.
- assumption
- A condition adopted to make a mathematical model possible and whose effect should be evaluated.
Preparing for this qualification · Preparação para esta qualificação
- Current first-assessment-2021 course: AI permits technology on both papers.
- External examination contributes 80%; the school-supervised mathematical exploration contributes 20%. SL papers are 40% each; HL Papers 1/2 are 30% each and Paper 3 is 20%.
- Public briefs establish structure, not full official learning objectives. School access to the current full guide, formula booklet and calculator policy is required to certify complete parity.
- Do not apply the revised 2029 marks, paper timing or exploration criteria to current cohorts.
Teaching coverage still needed · Cobertura do ensino ainda necessária
- Official question-bank boundaries, scheme alignment and all objective-level teaching coverage require the recorded review; no practice registry promotion.
- The authored diagnostic assessments are not full-length qualification mocks.
- The complete current IB guide, formula booklet, authenticated exploration criteria and full SL/HL objective codes are unavailable in the public archive.
Specifications and sample documents · Especificações e documentos de exemplo
- Mathematics: Applications and Interpretation — Specimen papers · 2021 ↗
First assessment: 2021
- Mathematics: Applications and Interpretation — Subject brief · 2021 ↗
First assessment: 2021
- Calculator guidance (2020) ↗
- Mathematics: Applications and Interpretation — Subject brief · 2029 ↗
First assessment: 2029
Course materials · Materiais do curso
- Study notes · Notas de estudo →
- Teaching guidance · Orientações de ensino · Teacher access · Acesso do professor →
- Teacher diagnostics · Diagnósticos do professor · Teacher access · Acesso do professor →
- Teacher solutions · Soluções do professor · Teacher access · Acesso do professor →
Course preparation · Preparação do curso
Documents are available. Board-specific notes, assessments and interactive past-paper practice are not yet available for every course. · Os documentos estão disponíveis. Notas específicas da banca, avaliações e prática interativa de provas anteriores ainda não estão disponíveis para todos os cursos.
Lessons · Lições →