Mathematical Modelling with Differential Equations
Formulating differential equations from contextual problems such as population dynamics and kinematics. Students will solve and interpret the models in context.
About This Topic
Formulating differential equations from contextual problems such as population dynamics and kinematics. Students will solve and interpret the models in context.
Key Questions
- How do we translate physical laws into differential equations?
- What assumptions are necessary when creating a mathematical model?
- How do we validate the solutions against the real-world context?
Planning templates for Further 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.
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