Lesson Plan: Power Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the power of a constant force using the relation 𝑃 = 𝐹 × 𝑣.
Objectives
Students will be able to
- understand that power is the rate at which a force does work,
- calculate the power being developed by a constant force with a known magnitude, , which is moving a body at a known velocity, ,
- generalize this to find the average power over a period of time,
- solve context problems involving power, force, acceleration, and velocity, including problems that include inclined planes and resistive forces.
Prerequisites
Students should already be familiar with
- resolving forces (including resistive forces),
- work,
- velocity,
- inclined planes,
- unit conversions such as
- 1 kg-wt = 9.8 N,
- ,
- .
Exclusions
Students will not cover
- variable forces defined by a function,
- problems involving integration,
- the vector form of ,
- defining the average power using integrals,
- differential notation.