Areas Between Curves and Kinematics
Extending integration to calculate the area enclosed by multiple functions. Students also apply integration to solve kinematics problems from acceleration to displacement.
About This Topic
Extending integration to calculate the area enclosed by multiple functions. Students also apply integration to solve kinematics problems from acceleration to displacement.
Key Questions
- How do we calculate the area bounded by two intersecting curves?
- How is integration used to find displacement from a velocity-time graph?
- What are the limitations of numerical integration?
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Planning templates for Mathematical Methods
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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