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2014 - 2015 Geometry Teacher: Mr. Swift Email: [email protected] Room 243 Voicemail: 513-947-7563 Course: Geometry Textbook: Geometry by Larson, Boswell, and Stiff: 2004 COURSE CONTENT: The course will include the study of two- and three-dimensional shapes, their properties and applications of these properties. Right triangle trigonometry, transformations, and probability will also be studied. ASSIGNMENTS: Assignments may include worksheets, and/or book work. Assignments will be collected daily and checked for completeness. At least once a week assignments will be graded for accuracy. The ABSOLUTE LAST day for late homework is one week before the end of the term. QUIZZES: The number of quizzes per chapter will vary. There will be two types of quizzes given in class, the first type will be focused on specific skills. These will usually be given every four to six class periods and be between ten and fifteen minutes in length. The more you explain your response using correct mathematical notation and vocabulary, the better chance you have of earning full credit. The second type will be homework quizzes. For this type of quiz you copy your work for selected homework questions onto the quiz paper. TESTS: Tests will be given as noted in the syllabus below. Each test will consist of short answer, extended answer, and multiple-choice questions for each chapter and could include review questions from previous chapters. Each chapter (or partial chapter) test will be weighted the same. All electronic devices besides your calculator are NOT ALLOWED during exams. There are NO retakes of exams. CLASSROOM EXPECTATIONS: #1: You are expected to be ON TIME. Be here early, so you are ready to start at the right time. #2: You are expected to treat EVERYONE in the class with the same attitude of respect you expect to be treated. This includes the language you use, the attitude you bring to class, and the way you respond when asked to do something in class. #3: You are expected to come to class prepared. Necessary materials should be brought to class each day. GRADING: Letter grades will be assigned using the district scale adopted by the West Clermont Board of Education. Homework will be weighted 30%, quizzes 20%, and tests 50% of the grade each term. ABSENCES: It is YOUR responsibility to find out what you missed!!!!!!!!! Progressbook and your classmates are possible sources of that information prior to class. SUPPLIES: The following is a list of supplies (other than your book) that will be needed throughout the course of the year. For some in-class activities, there are a limited number of supplies in the classroom. However, you will need to use most of these supplies at home. It is in your best interest to obtain as many of them as possible. - A 3-ring notebook dedicated to this class (a 1” binder should be enough to hold everything) - A basic calculator for arithmetic computations. -Graph paper can be obtained through a link on my website. - Pencils RESOURCES AVAILABLE: Mr. Swift’s website: http://www.westcler.k12.oh.us/olc/teacher.aspx?s=99 SYLLABUS Unit 1: Basics of Geometry - 5 days -----Undefined terms in Geometry -Segment and angle addition postulates -Use algebraic equations to solve for angles or segments -Find surface area and volume of three-dimensional figures (ie. Pyramids, prisms, cones, cylinders, etc) Unit 2: Transformations - 10 days -Review rigid transformations -Describe rotational symmetry -Draw transformed figures -Predict effects of transformations on a given figure -Dilations-Verify the properties of dilations ----- Unit 3: Reasoning & Proof – 10 days -Conditional Statements -Definitions and Biconditional statements -Deductive Reasoning -Reasoning with properties from Algebra -Proving Statements with segments -Proving Statements about angles Unit 4: Lines and Angles - 20 days -Review congruent, adjacent, supplementary, complimentary, and vertical angles -Review parallel and perpendicular lines -Review and solve problems involving alternate interior, alternate exterior, corresponding and consecutive interior angles -Prove theorems about lines and angles Unit 5: Triangles - 20 days ------Identify different types of triangles -Prove triangles are congruent using theorems such as SSS, SAS, ASA, AAS. -Prove and use various theorems of triangles (i.e. sum of angles is 180º, isosceles triangles, centroid of triangle, etc.) Unit 6: Similarity - 10 days -Define similar triangles -Prove and use similarity theorems involving triangles Unit 7: Right triangles and trigonometry - 15 days -Define trig ratios -Use trig ratios and Pythagorean Theorem to solve right triangles -Understand 30-60-90 and 45-45-90 triangles ------ Unit 8: Quadrilaterals - 15 days -Define quadrilaterals and special parallelograms -Prove and use theorems of quadrilaterals and special parallelograms -Apply geometric methods to solve design problems -Find area of two-dimensional polygons -Find surface and volume of prisms and pyramids. Unit 9 Circles – 15 days -Identify and describe relationships and properties of circles -Construct inscribed and circumscribed circles of a triangle -Prove properties of angles for a quadrilateral inscribed in a circle -Define radian measure of the angle -Find arc lengths and areas of sectors of circles -Derive the equation of a circle. -Find the center and radius of a circle by completing the square -Find the area and circumference of a circle -Find volume and surface of sphere and cone Unit 10: Applications of Probability – 15 days -Describe events as subsets of a sample space -Understand independence of probabilities -Understand and find conditional probabilities -Construct and interpret two-way frequency tables -Apply the Addition Rule and the Multiplication Rule Unit 11: Coordinate Geometry with Algebra – 12 days -Use algebra , including slope and distance formula, to prove simple geometric theorems Unit 12: Constructions – embedded in appropriate units throughout the yeaar -Formal geometric constructions -Construct a regular polygon inscribed in a circle -Construct inscribed and circumscribed circles in a triangle -