Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the velocity function by taking the derivative of the position function and combining the two to determine the movement of a particle.

Concepts

particles, derivatives, motion, velocity

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Additional Tags

math

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Instructional Ideas

• Provide additional problems for independent practice

Classroom Considerations

• The lesson takes the CCSS standards beyond the Algebra II level
• You will need to copy pages 10-11 and 15-17 and give them to the pupils

Pros

• Handouts include a blank example problem so the class can work along with the teacher
• The answer key shows the steps in solving the problem
• Includes an example for the teacher to do, one for the class to do together, and then a problem for the pupils to try in small groups

Cons

• None

Common Core

HSA-SSE.A.2 HSF-IF.C.7.a HSF-BF.B.3