It's all about location and size. With the aid of the interactive, pupils explore the relationship between the location and size of a circle and its equation. The learners use that relationship to determine the equation of a circle given its center and radius and vice versa. Given an equation in standard form, users rewrite it in general form.

Concepts

circles, equation of a circle, conic sections, graphing conic sections, standard form, center, radius

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Additional Tags

math

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Instructional Ideas

• Working in pairs, have one classmate graph a circle and the other determine the equation of the circle, then write it both in standard and general form

Classroom Considerations

• Requires knowledge of squaring a binomial
• Individuals using the interactive must sign up for a free CK-12 account

Pros

• Includes feedback and hints for problems
• The additional material provides extra examples and a problem set

Cons

• Contains an incorrect coefficient answer in problem number three

Common Core

HSG-GPE.A.1 MP7