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2013-2014 Geometry Honors Instructor: Melissa Theodore [email protected] 847-731-9447 Course Description: In this course students will be introduced to the vocabulary and symbolism of geometry. Through teamwork, students will investigate new situations, discover relationships, and figure out what strategies can be used to solve problems. By the end of the course students will have an understanding of a variety of geometric principles and properties that govern the world around us. Students will see how principles and properties interweave and use these to solve new problems. Course Objectives: Students will be able to: 1. explain, justify and create convincing arguments and proofs. 2. work together to solve problems. 3. share their work with others by writing it down and expressing it verbally. 4. construct and apply relationships of plane geometry for lines, angles, and triangles. 5. transform, identify relationships and measure plane and three-dimensional figures. 6. use trigonometric ratios to assist in proofs. 7. pose mathematical questions meaningfully and appropriately. 8. check their work to make sure an answer is correct. Assignments: On most days there will be an in-class assignment that is to be completed in teams and an individual homework assignment that is to be completed outside of class. Should a team finish their in-class assignment early, it is expected the remaining class time be used to start on the individual homework assignment. Course Grading: Grading Scale: 90-100 A 80-89 B 70-79 C 60-69 D Below 60 F Semester grades will be calculated based on the school policy of 80/20 2013-2014 Categorical Breakdown: Homework: Individual Tests/Quizzes: In-Class Work: Tests/Quizzes: 20% 50% 15% 15% of of of of your your your your total total total total semester semester semester semester grade grade grade grade Essential Questions for the Course: 1. What geometric shapes have what characteristics? 2. How does probability influence predictions? 3. What are the relationships of angles formed by two parallel lines and its transversal? 4. What methods should be used to find the areas of geometric figures? 5. Is there a relationship between the sides of a right triangle? 6. What are the special relationships between shape, similarity, or congruency? 7. What are the logic steps to support a mathematical statement? 8. Is an event likely or unlikely to occur? 9. How are the trigonometric ratios used to solve right triangles? 10. What information can congruent triangles or quadrilaterals provide when exploring properties of these types of figures? 11. How do similar figures differ in 2-D and 3-D? 12. How can you use interior and exterior angles to explore polygons? 13. What is the importance of the relationships between angles, arcs, and line segments in problem solving? 14. How can the volume and surface areas of pyramids, cones, and spheres be used in real world applications? Units: Unit 1: Shapes and Transformations Unit 2: Angles and Measurements Unit 3: Justification and Similarity Unit 4: Right Triangle Trigonometry and Probability Unit 5: Congruent Triangles, Quadrilaterals and Proofs Unit 6: Two and three-dimensional shapes Unit 7: Circles and Solids Required Materials: Geometry Connections Textbook TI-84 Plus Graphing Calculator Notebook (for journal/learning log) Folder Binder