Essential Question: How can you use properties of regular polygons and circles to determine their areas? Unit Rationale: Extension of properties of area explored in middle school are applied to regular polygons and sections of a circle. As a result of this unit, students will be able to: Ø Determine the area of regular polygons and different sections of a circle. Ø Determine the surface area of prisms, pyramids, cylinders, and cones. Vocabulary: · Apothem · Area · Annulus · Segment of a Circle · Sector of a Circle · Faces · Lateral faces · Surface area Standards: Standards will be assessed on both the state and classroom levels, however, standards with an asterisk (*) in the code will count for graduation requirements. Focus Standards: G.6.A Derive and apply formulas for arc length and area of a sector of a circle. G.6.C Apply formulas for surface area and volume of threedimensional figures to solve problems. *G.3.G Know, prove, apply theorems about properties of quadrilaterals and other polygons. Supporting Standards: *G.1.C Use deductive reasoning to prove that a valid geometric statement is true. Reasoning, Problem Solving, and Communication Standards: 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.
