Modeling with Differential Equations
Students will formulate and solve differential equations to model real-world phenomena.
Key Questions
- Evaluate the effectiveness of differential equations in modeling growth and decay processes.
- Design a differential equation to represent a given physical scenario.
- Predict the long-term behavior of a system based on its differential equation model.
MOE Syllabus Outcomes
Suggested Methodologies
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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.
More in Advanced Calculus: Integration Techniques
Review of Basic Integration
Students will review fundamental integration rules and techniques, including indefinite and definite integrals.
2 methodologies
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Students will apply the method of substitution to integrate more complex functions.
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Integration by Parts
Students will use integration by parts to integrate products of functions.
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Integration of Rational Functions by Partial Fractions
Students will decompose rational functions into partial fractions to facilitate integration.
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Integration of Trigonometric Functions
Students will integrate various trigonometric functions, including powers and products.
2 methodologies