Extended
Extended level MYP Geometry for Year 5. Topics include composite 3D volumes, geometric transformations, and investigation tasks for Criteria B, C, and D.
Topics in this Subunit
Who Is Extended Geometry For?
Extended Geometry in MYP Year 5 is for students who engage with greater mathematical abstraction, multi-step reasoning, and open-ended investigation tasks. It builds on all Standard Geometry content and adds topics that require deeper analysis, generalisation, and formal justification.
Topics Covered at Extended Level
- Volume of complex and composite 3D shapes
- Geometric transformations using deeper compositional or matrix-based approaches
- Combined transformations and invariant points
- Optimizing storage box design (Criterion D investigation context)
- Patterns in 3D structures (Criterion B investigation context)
- Progressive tile arrangements (Criterion B and C investigation context)
What Makes Extended Different
Extended tasks expect students to construct their own approach, not just apply a given method. Investigation tasks require forming conjectures, testing them systematically, generalising findings algebraically, and justifying conclusions. This aligns directly with MYP Criteria B, C, and D at the higher achievement levels.
Investigation-Style Tasks
Several Extended topics are structured as investigation tasks rather than practice exercises. GradePerfect explains the MYP investigation process for each of these — what a strong response looks like at each criterion level and where students typically lose marks.
How to Use These Pages
Select a topic from the list above. Each page explains the mathematical content, the investigation structure (where applicable), and the assessment criteria most relevant to that task type. Use these alongside your teacher's resources and the MYP assessed tasks in your school.