Lesson Plan: SAT Math Lesson 25: Circles and the Coordinate Plane

In SAT Math Lesson 25, students explore the geometry of circles using coordinate algebra. This lesson covers:

• Deriving the standard equation of a circle using the Pythagorean Theorem,
• Applying the distance formula to analyze geometric relationships in the coordinate plane,
• Solving problems involving the radius, diameter, and center of a circle, and
• Using coordinates to find points on or outside a circle based on given constraints.

The lesson includes detailed instruction, multiple worked examples, and a 10-question SAT-style quiz. Students learn how to complete the square to convert general circle equations to standard form and how to apply symmetry and coordinate logic to solve geometry problems. These skills are essential for mastering questions aligned to SAT Geometry standards involving circles.

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