Academics‎ > ‎Mathematics‎ > ‎Geometry B Competencies‎ > ‎

### Chapter 8--Area

 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 three-dimensional 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.