Mathematics: Analysis & Approaches
2 chapters · 4 concepts
Calculus, functions, and proof at SL and HL.
Inquiry. Connection. Independent thinking.
Explore the IB Diploma Programme through the subjects and concepts currently mapped here. Connect ideas, follow clear outcomes and plan your next step in independent learning.

This is a selected concept-map preview, not the complete official syllabus or a promise of full lesson coverage. Chapter and concept counts include their separate class entries.
The map uses one shared IBDP (SL & HL) stage, not separate SL and HL routes. Signup carries your stage and concept as context, but account setup currently asks for a numbered class and does not automatically open the chosen concept.
Find the ideas behind the syllabus
Start with your programme, choose a subject and open a chapter to see what you will understand.
Ages 16–19 · 2 mapped subjects · 6 concept entries
Concept-map preview. Open a chapter to explore its learning outcomes.
2 chapters · 4 concepts
Calculus, functions, and proof at SL and HL.
1 chapters · 2 concepts
Cells, genetics, and ecology across SL and HL.
The map shows selected ideas and learning outcomes. Try a complete free sample lesson to see the teaching format; samples are examples, not a full library for every IBDP subject.
What makes the path distinctive
Understand the curriculum’s strengths and the kind of learning it encourages.
Highly respected by top universities worldwide; the research and writing load builds real readiness for degree-level study.
Theory of Knowledge, the Extended Essay, and HL subjects develop critical thinking, independent research, and academic writing.
Choosing across six subject groups keeps learning broad while HL choices allow genuine specialisation.
Creativity, Activity, Service (CAS) develops character and initiative alongside academics.
Know the structure
A guide to the programme, subject choices and assessment. Confirm current requirements with your school and the official board.
Six subject groups plus the DP core (Theory of Knowledge, Extended Essay, and CAS), taken at Standard or Higher Level.
A blend of internal assessment and external examinations, scored on a 1–7 scale per subject with core points added toward the 45-point total.
Learners choose one subject from each group (with allowed swaps), balancing SL and HL to build a broad, rigorous profile.
Subject grades (1–7) combine with up to three core points; the diploma is awarded against defined point and requirement thresholds.
Explore connected concepts and learning outcomes in the currently mapped subjects. This shared IBDP preview does not select SL or HL or guarantee level-specific practice coverage.
Small steps. Stronger understanding.
Move from the syllabus structure to an idea you can explain and use.
Choose your class or stage, then a subject and chapter.
Read the learning outcome and connect it to an example.
Work through questions and revisit what needs more attention.
Use your saved learning path to continue one concept at a time.
A little more clarity
The current map includes Mathematics: Analysis & Approaches and Biology in one shared IBDP (SL & HL) stage. It does not offer separate Standard Level and Higher Level selections or cover all level-specific requirements. Follow your school’s course choice and official subject guide.
It is educational support aligned to the IBDP structure, not a verbatim reproduction of IB documents. Version and reviewed date appear on every page.
Choose a starting point in IBDP and build your learning path around it.