SHORELINE PUBLIC SCHOOLS COURSE SYLLABUS Building: Shorewood High School Year: 2015-16 Name of Year-Long Course: Geometry Instructors: Corrie Crowder, Amy Dickinson, Ray Etheridge, Jill Owen, Paul Villaneuava Course Description: Geometry is the branch of mathematics mainly concerned with two and threedimensional figures and their properties. We will use algebra, inductive and deductive reasoning, constructions, measurement, and coordinate geometry to explore these properties. Classroom Expectations: Students are expected to come to class on time each day with the appropriate materials and completed homework. Students should participate in class discussions, ask questions, and share their ideas with each other. Students are expected to use class time appropriately and avoid distracting devises or behavior. Finally, students are expected to take advantage of the extra help and support offered during office hours, Achievement Time, and Homework Club. Concepts/Themes Power Standards Approximate Time Frame Congruence Chapters 9 I can use geometric descriptions of rigid motions to transform defined in terms and 4 figures and to predict the effect of a given rigid motion on a of rigid motions. given figure Given two figures, I can use the definition of congruence in terms of rigid motion to decide if they are congruent. I can use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. I can explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. Proving Chapters 2, I can prove theorems about lines and angles geometric 3, and 4 I can prove theorems about triangles theorems I can prove theorems about parallelograms Similarity defined I can verify experimentally the properties of dilations given by a Chapter 7 in terms of center and a scale factor. similarity Given two figures, I can use the definition of similarity in terms transformations of similarity transformations to decide if they are similar. I can explain the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. I can use the properties of similarity transformations to establish AA criterion for two triangles to be similar. Proving theorems I can prove theorems about triangles Chapter 7 involving I can use congruence and similarity criteria for triangles to solve similarity problems and to prove relationships in geometric figures. Trigonometric ratios and solving problems involving right triangles Using coordinates to prove simple geometric theorems algebraically Appling geometric concepts in modeling situations Standards of Mathematical Practice I can define trigonometric ratios for acute angles by understanding that by similarity, side ratios in right triangles are properties of the angles in the triangle. I can explain and use the relationship between sine and cosine of complementary angles. I can use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. I can prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems. I can find the point on a directed line segment between two given points that partitions the segment in a given ratio. I can use coordinates to compute perimeters of polygons, areas of triangles and rectangles using the distance formula. I can use geometric shapes, their measures, and their properties to describe real-life objects. I can apply concepts of density based on area and volume in modeling situations. I can apply geometric methods to solve design problems. Chapters 8 and 10 I can reason abstractly and quantitatively. I can construct viable arguments and critique the reasoning of others I can use appropriate tools strategically I can attend to precision I can look for and make use of structure Throughout Chapter 1, 3, 6, 7, 10 Chapters 6, 10, 11, and 12 Assessments: Expect daily homework assignments, a quiz and a test every chapter, and occasional applied problem solving and projects. There is a Final Exam at the end of each semester. 40% of your overall grade will be determined by participation and completion of coursework (daily assignments, class participation, and notebook) 50% of your overall grade will be determined by assessments (quizzes, tests, projects) and 10% will be determined by the final exam. Curriculum/Textbooks: Prentice Hall Geometry (2011 Edition and iPad Edition) Supplemental Material from SSD Additional Resources/Technology: www.interactmath.com www.explorelearning.com www.khanacademy.org www.geogebra.com manipulatives (geo-fix, zometools, origami)