Unit 2, Lesson 1
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Velocity, aceleration, and other context

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Learning goals:
Students will develop a deep understanding of the application of derivatives in real-world scenarios, enabling them to analyze and solve problems related to rates of change, optimization, and motion.


Resources:

https://es.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/ab-4-3/v/modeling-a-forgetting-curve

https://es.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/ab-4-3/e/applications-of-differentiation-in-biology–economics–physics–etc


Learning activities:

Graphical Analysis:

  • Activity: Explore graphical representations of functions and their derivatives. Discuss the significance of slope and concavity.
  • Task: Assign problems where students analyze graphs, identify critical points, and interpret the behavior of functions using derivatives.

Physics Problems:

  • Activity: Discuss the role of derivatives in physics, covering topics like acceleration due to gravity, projectile motion, and fluid dynamics.
  • Task: Assign physics-related problems that involve the use of derivatives for analysis and prediction.

Adaptaciones curriculares:
– Ninguno