Baccalauréat international · IB Diploma
Mathematics: Applications and Interpretation · SL
Papers, samples and curriculum documents for this course. · Dossiers, échantillons et documents de programme pour ce cours.
Course units and learning goals · Unités de cours et objectifs d'apprentissage
These lessons teach selected course objectives. Check the remaining coverage gaps; the material is not a complete preparation programme. · Ces leçons abordent des objectifs de cours sélectionnés. Vérifiez les lacunes restantes en couverture ; ce matériel ne constitue pas un programme d'entraînement complet.
1 · Number and algebra
- 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
- 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
- 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
- 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 · densité de fréquence
- 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
- 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
- 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 · Préparation à cette qualification
- 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 · Couverture pédagogique encore nécessaire
- 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 · Spécifications et documents d'échantillon
- 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 · Matériel pédagogique
Course preparation · Préparation du cours
Documents are available. Board-specific notes, assessments and interactive past-paper practice are not yet available for every course. · Les documents sont disponibles. Les notes spécifiques au conseil, les évaluations et la pratique interactive des anciens sujets ne sont pas encore disponibles pour tous les cours.
Lessons · Leçons →