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.
138Lessons
5Units · 43 topics
SL · HLBoth levels
AssessmentObjectives aligned
What's included
One pack. Everything you need to teach the course.
138
Lesson plans
A full plan for every topic in the hub — objectives, timings, and a clear teaching arc.
138
Student worksheets
Structured practice tasks ready to print or assign.
138
Mark schemes
Full mark schemes aligned to the assessment objectives.
✓
Interactive digital lessons
Self-paced lessons for in-class or independent study.
5
Units · 43 topics
138 lessons across 5 units and 43 topics.
✓
Exam-style-aligned
Exam-style questions and full mark schemes, written against the assessment objectives of the current guide.
The units
43 topics, one coherent course.
Open any unit to see its topic map and the skills students build.
Unit 1Number and algebra
RepresentationModellingApproximationRelationships
9 topics
Logarithms and exponential equationsNumber, estimation and percentage errorArithmetic and geometric sequences and seriesCompound interest and depreciationExponents and logarithmsApproximationAmortization and annuities using technologySolving systems of linear and polynomial equations with technologyLinear inequalities and linear programming
Skills & assessment.
Unit 2Functions
ModellingRepresentationRelationshipsSpace
4 topics
Straight lines: gradient, intercepts and equationsModelling with functions: linear, quadratic, exponential and sinusoidalModelling skills: choosing, fitting and evaluating a modelFurther models: logistic and piecewise (AHL)
Skills & assessment.
Unit 3Geometry and trigonometry
SpaceRepresentationRelationshipsApproximation
11 topics
Three-dimensional geometry: distance, volume and surface areaThe sine rule, the cosine rule and the area of a triangleApplications of right and non-right angled trigonometry: bearings, elevation and depressionThe circle: length of an arc and area of a sectorVoronoi diagramsRadian measure: converting between degrees and radians, and arc and sector in radiansVectors: concept, representation and operationsThe scalar product and the angle between vectorsGraph theory: vertices, edges and adjacency matricesGraph theory algorithms: Eulerian trails, Hamiltonian cycles and minimum spanning trees HLRoute optimisation: Chinese postman and travelling salesman problems
Skills & assessment.
Unit 4Statistics and probability
RepresentationModellingRelationshipsValidity
12 topics
Sampling and data classificationPresentation of data: tables, histograms and box plotsDescriptive statisticsLinear correlation and regressionProbabilityDiscrete random variables and expected valueThe binomial distributionThe normal distributionSpearman's rank correlation coefficientStatistical testsRegression with non-linear functions (AHL)Transition matrices and Markov chains HL
Skills & assessment.
Unit 5Calculus
ChangeApproximationModellingRelationships
7 topics
Differentiation: the derivative of a polynomialTangents and normalsIntegrationAnalysing functionsOptimisationNumerical methodsKinematics: displacement, velocity and acceleration
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.
01
Exam-style questions
Exam-style tasks in every worksheet, each showing the marks it carries.
02
Full mark schemes
A complete mark scheme for every worksheet — what earns each mark, and why.
03
The assessment objectives
Written against the objectives set out in the current subject guide.
04
Command terms
Tasks use the command terms the guide defines, in the sense it defines them.
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
138 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, written against the assessment objectives and command terms of the current guide.
Available per subject, or added to a whole-school license bundle.