Lesson Plan: Locus of Points
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to draw a locus and use loci to solve problems.
Objectives
Students will be able to
- define a locus of points as a set of points that share a given property,
- draw a circle as the locus of points that are equidistant from a fixed point,
- draw the perpendicular bisector of the line segment as the locus of points that are equidistant from and ,
- draw the angle bisector as the locus of points that are equidistant from the two lines forming the angle,
- draw a locus that uses a combination of the circle and the perpendicular and angle bisectors, including areas between them.
Prerequisites
Students should already be familiar with
- constructing perpendicular and angle bisectors,
- constructing circles.
Exclusions
Students will not cover
- the locus of points such that the ratio of their distances to two fixed points is constant.