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# Spheres

Volume and surface area of 3D circles.
Levels are CK-12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.
At Grade (Proficient) Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.
Advanced Students matched to this level are ready for material that requires superior performance and mastery.

## Spheres

This concept teaches students how to calculate the volume and surface area of a sphere.

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• PLIX

## Spheres: Surface Area of a Sports Ball

Spheres Interactive

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• Video

## Spheres Principles

This video gives more detail about the mathematical principles presented in Spheres.

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• Video

## Spheres Examples

This video shows how to work step-by-step through one or more of the examples in Spheres.

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• Practice
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## Spheres Practice

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• Critical Thinking

## Spheres Discussion Questions

A list of student-submitted discussion questions for Spheres.

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To stress understanding of a concept by summarizing the main idea and applying that understanding to create visual aids and generate questions and comments using a Concept Matrix.

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To reinforce and increase concept comprehension, and to analyze similarities and differences between topics using a Two Column Table.

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## Spheres Four Square Concept Matrix

Summarize the main idea of a reading, create visual aids, and come up with new questions using a Four Square Concept Matrix.

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• Real World Application

## Where We Live!

Discover the geometry of the shape of the Earth.

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• Study Guide

## Spheres Study Guide

This study guide looks at the characteristics of spheres, surface area, and volume of spheres.

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## Derivation of the Formula for the Surface Area of a Sphere

The surface area of a sphere is opened up to illustrate how the formula for the surface area of a sphere can be understood.

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