# Lesson Plan: Constructing Circles Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to construct circles given one, two, or three points.

#### Objectives

Students will be able to

- construct a circle through one point,
- construct a circle through two points,
- recognize that infinitely many circles can be drawn through one or two points,
- recognize that all the centers of the circles drawn through a single point, say , with equal radii lie on a congruent circle whose center is ,
- recognize that two circles cannot have more than two points of intersection (unless they are coincident) and that the smallest circle passing through two points, and , will have a radius of length ,
- recognize that a circle is defined by three points,
- construct a circle through three given points and be familiar with circumcircles and how they can be constructed.

#### Prerequisites

Students should already be familiar with

- circles,
- constructing triangles.

#### Exclusions

Students will not cover

- the relationship between chords and circles,
- circle theorems.