Lesson Plan: Surface Areas of Spheres | Nagwa Lesson Plan: Surface Areas of Spheres | Nagwa

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Lesson Plan: Surface Areas of Spheres Mathematics • Second Year of Preparatory School

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This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use the formula for the surface area of a sphere in terms of its radius or diameter to find the sphere’s area, radius, or diameter.

Objectives

Students will be able to

  • recall the formula for the surface area of a sphere,
  • use the formula for the surface area of a sphere to calculate its surface area given its radius or diameter (or vice versa),
  • understand the relationship between the great circle and a sphere,
  • understand how to calculate the surface area of a sphere given information about its great circle,
  • calculate the surface area of a hemisphere or any other fraction of a sphere,
  • solve real-world problems involving the surface area of a sphere.

Prerequisites

Students should already be familiar with

  • calculating areas and circumferences of circles and fractions of circles,
  • real numbers and operations on them.

Exclusions

Students will not cover

  • volumes of spheres,
  • surface areas of cones.

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