Engaging in Open-Ended Investigations
Engaging in open-ended mathematical investigations, formulating questions, and exploring solutions.
Key Questions
- Hypothesize potential solutions to an open-ended mathematical problem.
- Analyze the different pathways one could take to investigate a mathematical concept.
- Construct a clear and concise report detailing the findings of a mathematical investigation.
ACARA Content Descriptions
Suggested Methodologies
Ready to teach this topic?
Generate a complete, classroom-ready active learning mission in seconds.
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.