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February 06-10, 2012 Rowan County High School I Geometry B Unit Title: Learning targets Monday’s I can describe Target the relationship between a 1central angle2inscribed angle, 3circumscribed angle and the arc it intercepts Tuesday’s Same as last Target week Wednesday and Thursday Wednesday’s I will Target calculate the angles given their relationship in a circle Thursday’s Review of target targets angles and lengths associated with a circle. Teaching strategies/differentiation Assessment -bellwork -recall what is known about circumference could relate here radian to degree. -powerpoint presentation of central and inscribed angles and arcs. -independent investigation exercise with summary statement. Add vertical angle relationship. Review. Observation of investigations -Sentence Summary statement -bellwork -survey of 10.5 and 10.1 section in text. Note: some sections I select the problem to defend, others I let student explain a problem of their choosing to explain. -use bright storm videos for review during work time/interview time. Select several application problems. Student interview student works/studies section of problems, then explains how they solved problems in that section, I question parts of their solution, they defend their solutions. Guided notes completed Verbal feedback. Questioning. Bellwork Demonstrate with geogebra Power point slides. Guided note Individual practice Review. Bellwork Review pages Or Observation and verbal feedback Equation of a circle Or Friday’s target I will sketch a circle given h,k.and radius and vice versa I will review my fundament algebra skill; solving equations Graphing 2 variable equations Bellwork demonstration rate Bright storm video Practice application from www.wcpss.net/success-series/hsalgebra1/video/algebra1-lesson-lesson8.html?size=success Guided practice Individual practice Review. Extension relate to parallel and perpendicular Discussion, verbal feed back Exit slip Cluster- Understand and apply theorems about circles Standard identify and describe relationships among inscribed angles, radii and chords Standard construct a tangent line form a point outside a given circle to the circle Standard derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector. Vocabulary: Circle, center, radius, diameter, congruent, chord, secant, tangent, tangent circles, coplanar, concentric, common tangent. Interior/exterior of a circle, point of tangency, central angle, minor arc, major arc semicircle, measure of a minor/ major arc, congruent arcs, inscribed angle, intercepted arc, inscribed, circumscribed, tangent segment, secant segment, external segment, standard equation of a circle, locus. Perpendicular, endpoint of a circle, sector,