Lesson Plan: Equation of a Sphere Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the equation of a sphere given its center and how to find the center and the radius given the sphere’s equation.

Objectives

Students will be able to

  • find the equation of a sphere given its center and radius or sufficient information to calculate the center and radius (e.g., the coordinates of the endpoints of the diameter),
  • find the center and radius of a sphere given its equation.

Prerequisites

Students should already be familiar with

  • how to complete the square,
  • the three-dimensional orthogonal coordinate system,
  • how to find the distance between two points in space,
  • how to find the coordinates of a midpoint of a line segment.

Exclusions

Students will not cover

  • the vector form of the equation of a sphere.

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