Lesson plan

Derive and apply the standard form of the equation of the circle by using the Pythagorean Theorem

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teaches Common Core State Standards HSG-GPE.A.1 http://corestandards.org/Math/Content/HSG/GPE/A/1
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Big Ideas: The standard form of the equation of a circle can be proven using the Pythagorean Theorem. In this task, students will use the Pythagorean Theorem to derive the standard form of a circle. Students will begin reviewing the Pythagorean Theorem by determining the distance between two places. This will lead students into using the Pythagorean Theorem to determine the distance between the center of a circle and a point on a circle. The main focus of this lesson is for students to derive the standard form of a circle by using distances and the radii to create an equation. Vocabulary: Standard Form of a Circle, Pythagorean Theorem