Ø Identify the basic structure of a circle. Ø Identify, prove, and apply the properties of circles: § Angle conjectures (Central, Inscribed, Interior, Exterior, Tangent-Secant, and tangent-Tangent) § Angles inscribed in a semicircle § Relationships between circumference, diameter, radius, and pi.
· Circle/center/radius/diameter · Central angle/Inscribed angle Space · Tangent line · Arc/Intercepted arc · Arc length · Pi · Circumference
G.3.H Know, prove, and apply basic theorems relating circles to tangents, chords, radii, secants, and inscribed angles. G.3.I Explain and perform constructions related to the circle. G.6.A Derive and apply formulas for arc length and area of a sector of a circle.
*G.6.E Use different degrees of precision in measurement, explain the reason for using a certain degree of precision, and apply estimation strategies to obtain reasonable measurements with appropriate precision for a given purpose.
G.7.D Generalize a solution strategy for a single problem to a class of related problems and apply a strategy for a class of related problems to solve specific problems. G.7.H Use inductive reasoning to make conjectures , and use deductive reasoning to prove or disprove conjectures. |