Lesson Plan: Applications on Parametric Equations
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use parametric equations, with time as a parameter, to model motion in two dimensions.
Objectives
Students will be able to
- solve problems where two-dimensional motion is modeled using parametric equations, with time as the parameter, including
- finding the coordinates of the start of the motion,
- finding the distance something has traveled during its motion,
- finding the missing parameters in the parametric equations,
- identifying the range of the parametric equations using physical bounds.
Prerequisites
Students should already be familiar with
- parametric equations,
- graphs of parametric equations,
- the domain and range of parametric equations,
- finding the coordinates of the intersection between the parametric equations and the axes.
Exclusions
Students will not cover
- the differentiation of parametric equations.