Pacing Guide for Informal Geometry B Glencoe Geometry Concepts and Applications Bibb County High School V. Watkins 2007 – 2008 MONTH August or January ALABAMA COURSE OF STUDY STANDARDS III.4The student will determine the measure of interior and exterior angles associated with polygons. 4A.Verify the formulas for the measures of interior and exterior angles of polygons inductively and deductively. III.5The student will solve real-life and mathematical problems using properties and theorems related to circles, quadrilaterals, and other geometric shapes. 5A. Determine the equation of a circle given its center and radius. III.6The student will apply the Pythagorean Theorem to solve application problems, expressing answers in simplified radical form or as decimal approximations, using Pythagorean triples when applicable. III.13The student will identify the coordinates of the vertices of the image of a given polygon that is translated, rotated, reflected, or dilated. Alabama High School Graduation Exam Standards Chapter IV.1,VI.1,VII.1,VII.3,V1I.4,VII.8 Chapter 9: Proportions and Similarity Chapter 10: Polygons and Area Pacing Guide for Informal Geometry B Glencoe Geometry Concepts and Applications Bibb County High School V. Watkins 2007 – 2008 Month September or February Alabama Course of Study Standards III.2 The student will justify theorems related to pairs of angles, including angles formed by parallel and perpendicular lines, vertical angles, adjacent angles, complementary angles, and supplementary angles. III.3The student will verify the relationships among different classes of polygons by using their properties. 3A. Determine the missing lengths of sides or measures of angles in similar polygons. III.4The student will determine the measure of interior and exterior angles associated with polygons. 4A.Verify the formulas for the measures of interior and exterior angles of polygons inductively and deductively. III.5The student will solve real-life and mathematical problems using properties and theorems related to circles, quadrilaterals, and other geometric shapes. 5A. Determine the equation of a circle given its center and radius. III.6The student will apply the Pythagorean Theorem to solve application problems, expressing answers in simplified radical form or as decimal approximations, using Pythagorean triples when applicable. III.9The student will use inductive reasoning to make conjectures and deductive reasoning to justify conclusions. 9A. Recognize the limitations of justifying a conclusion through inductive reasoning. III.10The student will find the missing measures of sides and angles in right triangles by applying the right triangle definitions of sine, cosine, and tangent. III.11The student will determine the areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics. III.12The student will apply distance, midpoint, and slope formulas to solve problems and to confirm properties of polygons. IV.15The student will calculate measures of arcs and sectors of a circle from given information. V.17The student will analyze sets of data from geometric contexts to determine what, if any, relationships exist. 17A. Distinguish between conclusions drawn when using deductive and statistical reasoning. 17B. Calculate probabilities arising in geometric contexts. Alabama High School Graduation Exam Standards IV.1,VI.1,VII.1, V1I.4,VII.8 Chapter Chapter 10: Polygons and Area Chapter 11: Circles Pacing Guide for Informal Geometry B Glencoe Geometry Concepts and Applications Bibb County High School V. Watkins 2007 – 2008 Month Alabama Course of Study Standards October Or March III.2 The student will justify theorems related to pairs of angles, including angles formed by parallel and perpendicular lines, vertical angles, adjacent angles, complementary angles, and supplementary angles. III.6The student will apply the Pythagorean Theorem to solve application problems, expressing answers in simplified radical form or as decimal approximations, using Pythagorean triples when applicable. III.10The student will find the missing measures of sides and angles in right triangles by applying the right triangle definitions of sine, cosine, and tangent. III.14The student will classify polyhedrons according to their properties, including the number of faces. 14A. Identify Euclidean solids. IV.16The student will calculate surface areas and volumes of solid figures, including spheres, cones, and pyramids. 16A. Develop formulas for surface area and volume of spheres, cones, and pyramids. 16B. Calculate specific missing dimensions of solid figures from surface area or volume. 16C. Determine the relationship between the surface areas of similar figures and volumes of similar figures. Alabama High School Graduation Exam Competencies IV.1, ,V1I.4 Chapters Chapter 12: Surface Area and Volume Chapter 13: Right Triangles and Trigonometry Pacing Guide for Informal Geometry B Glencoe Geometry Concepts and Applications Bibb County High School V. Watkins 2007 – 2008 Month November or April Alabama Course of Study Standards III.5 The student will solve real-life and mathematical problems using properties and theorems related to circles, quadrilaterals, and other geometric shapes. 5A. Determine the equation of a circle given its center and radius. III.6 The student will apply the Pythagorean Theorem to solve application problems, expressing answers in simplified radical form or as decimal approximations, using Pythagorean triples when applicable. III.9The student will use inductive reasoning to make conjectures and deductive reasoning to justify conclusions. 9A. Recognize the limitations of justifying a conclusion through inductive reasoning. IV.15The student will calculate measures of arcs and sectors of a circle from given information. V.17The student will analyze sets of data from geometric contexts to determine what, if any, relationships exist. 17A. Distinguish between conclusions drawn when using deductive and statistical reasoning. Alabama High School Graduation Exam Competencies IV.2,VI.1,VII.1,VII.2, VII.8 Chapters Chapter 14: Circle Relationships Chapter 15: Formalizing Proof Pacing Guide for Informal Geometry B Glencoe Geometry Concepts and Applications Bibb County High School V. Watkins 2007 – 2008 Month December or May Alabama Course of Study Standards III.13 The student will identify the coordinates of the vertices of the image of a given polygon that is translated, rotated, reflected, or dilated. Alabama High School Graduation Exam Competencies II.3 Chapters Chapter 16: More Coordinate Graphing and Transformations