IB Diploma Programme · Mathematics: Applications and Interpretation Resource Hub
DP Mathematics: Applications and Interpretation, ready to teach.
Lesson plans, worksheets and mark schemes for DP Mathematics: Applications and Interpretation — written against the 2021 guide and structured around the key concepts, the assessment objectives, and real-world modelling contexts.
139Lessons
5Units · 38 topics
SL · HLBoth levels
AO1–AO4Aligned throughout
What's included
One pack. Everything you need to teach the course.
139
Lesson plans
A full plan for every topic in the hub — objectives, timings, and a clear teaching arc.
139
Student worksheets
Structured practice tasks ready to print or assign.
139
Mark schemes
Full mark schemes aligned to the assessment objectives.
✓
Interactive digital lessons
Self-paced lessons for in-class or independent study.
5
Units · 38 topics
139 lessons across 5 units and 38 topics.
AO1–4
Exam-aligned
Exam-style questions + mark schemes mapped to the AOs.
The units
38 topics, one coherent course.
Open any unit to see its topic map and the skills students build.
Unit 1Number and algebra
ModellingRepresentationApproximationRelationships
13 topics
1.1 Content1.2 Content1.4 Currency and finance1.5 ContentLogarithms and exponential equations1.7 Direct/inverse variation: f x = axn, n ∈ ℤ The y-axis as a vertical as1.6 Approximation1.8 Content1.9 Content1.10 Content1.11 Content1.12 Content1.14 Content
Skills & assessment.
Unit 2Functions
RepresentationModelling
4 topics
2.5 Content2.6 Content2.9 Connections Links to other subjects: Diffraction patterns and circular2.10 Syllabus content 30 Mathematics: applications and interpretation guide
Skills & assessment.
Unit 3Geometry and trigonometry
SpaceApproximation and SystemsRepresentationRelationships
10 topics
3.3 Applications of right and non-right angled trigonometry3.5 Content3.6 Content3.7 Content3.8 Content3.9 Content3.11 Content3.12 Content3.15 Content3.16 Tree and cycle algorithms with undirected graphs HL
Skills & assessment.
Unit 4Statistics and probability
RepresentationModellingChangeRelationships
7 topics
4.1 to one decimal place,4.19 Transition matrices HL4.3 Descriptive statistics4.2 Statistical diagrams4.5 Probability4.6 Content4.11 Statistical tests
Skills & assessment.
Unit 5Calculus
ApproximationModellingChange
4 topics
5.5 Integration5.6 Analysing functions5.7 Optimisation5.8 Numerical methods
Skills & assessment.
How the lessons work
A clear teaching arc in every lesson.
01
Hook
Surface prior thinking and frame the inquiry.
02
Develop
Guided development of the theory and key concepts.
03
Practise
Structured practice on the worksheet tasks.
04
Apply
An applied or evaluative task that lifts thinking.
Explicit learning objectivesCommand-term focusATL skill linksDifferentiation support
Assessment-ready
Built for the exams students will sit.
AO1
Knowledge & understanding
Recall and demonstrate the content.
AO2
Application & analysis
Apply understanding to new contexts.
AO3
Synthesis & evaluation
Formulate, analyse and evaluate.
AO4
Skills
Use and apply subject-specific technique.
Why DP Mathematics: Applications and Interpretation teachers choose this hub
Walk into every lesson already prepared.
Written against the current DP Mathematics: Applications and Interpretation guide and ready to teach — so your time goes into the students in front of you, not into building resources from scratch.
01
Aligned to the current DP guide
Written against the current DP guide and framed by the key concepts and the inquiry approach.
02
The planning, already done
139 lesson plans, worksheets and mark schemes with a consistent teaching arc — teach as-is or adapt.
03
Exam confidence built in
Exam-style questions and full mark schemes mapped to AO1–AO4 and the command terms.
Available per subject, or added to a whole-school license bundle.