Lessons & Objectives

Introduction to Circles ✔️

Central Angles ✔️

Inscribed Angles ✔️

Secants, Tangents, and Angles ⬅️

• Solve problems involving angles formed by two intersecting chords.

• Solve problems involving angles formed by two secants that intersect outside a circle.

• Solve problems involving angles formed by two intersecting tangents.

• Solve problems involving angles formed by a secant and a tangent that intersect outside a circle.

Special Segments⬅️

• Solve problems involving segments formed by two intersecting chords.

• Solve problems involving segments formed by two secants which intersect outside a circle.

• Solve problems involving segments formed by two intersecting tangents.

• Solve problems involving segments formed by a secant and a tangent which intersect outside a circle.

Circumference and Arc Length ⬅️

• Solve problems involving circumference of a circle.

• Determine the radian measure of a central angle.

• Solve problems involving arc length with central angles measured in degrees.

• Solve problems involving arc length with central angles measured in radians.

Area of a Circle and a Sector

• Solve problems involving area of a circle.

• Solve problems involving area of a sector with central angles measured in radians.

• Solve problems involving area of a sector with central angles measured in degrees.

Angle Relationships

• Determine segment lengths, angle measures, and arc measures using definitions and theorems relating to circles.

Performance Task: Circle Constructions

Equation of a Circle

• Identify the center and radius from the equation of a circle, including equations given in general form.

• Determine the equation of a circle.

• Determine if a given point lies on a circle.

Parabolas

• Describe key features of a parabola.

• Determine the equation of a parabola given the focus and directrix.