Introduction to Continuous Change
Students transition from discrete difference equations to continuous differential equations. They explore rates of change and how derivatives represent physical phenomena.
About This Topic
Students transition from discrete difference equations to continuous differential equations. They explore rates of change and how derivatives represent physical phenomena.
Key Questions
- How does continuous change differ from discrete change?
- What does a derivative tell us about a physical system?
- How can we express a real-world rate of change mathematically?
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Planning templates for Applied 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.
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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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