Unpacked Content
Knowledge
Students know:
- Definitions and characteristics of central, inscribed, and circumscribed angles in a circle.
- Techniques to find measures of angles including using technology (dynamic geometry software).
Skills
Students are able to:
- Explain and justify possible relationships among central, inscribed, and circumscribed angles sharing intersection points on the circle.
- Accurately find measures of angles (including using technology (dynamic geometry software)) formed from inscribed angles, radii, chords, central angles, circumscribed angles, and tangents.
Understanding
Students understand that:
- Relationships that exist among inscribed angles, radii, and chords may be used to find the measures of other angles when appropriate conditions are given.
- Identifying and justifying relationships exist in geometric figures.
Vocabulary
- Central angles
- Inscribed angles
- Circumscribed angles
- Chord
- Circumscribed
- Tangent
- Perpendicular arc
