Curve Sketching and Kinematics
Students synthesize derivative tests to sketch accurate graphs of functions. They also apply differentiation to particle motion, analyzing position, velocity, and acceleration.
About This Topic
Students synthesize derivative tests to sketch accurate graphs of functions. They also apply differentiation to particle motion, analyzing position, velocity, and acceleration.
Key Questions
- How do we combine derivative tests to sketch a curve?
- What is the relationship between position, velocity, and acceleration?
- How do we determine if a particle is speeding up or slowing down?
Planning templates for Calculus
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.
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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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