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Geometry 2016-2017 Instructor: Teresa Carter email: [email protected] I. About This Course A. Geometry formalizes and extends students’ geometric experiences from the middle grades. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. Five critical areas comprise the Geometry course: Logic and Proofs; Points, Lines, Angles, and Planes; Triangles; Quadrilaterals and Other Polygons; Circles; Transformations; and Three-dimensional Solids. The eight Process Standards for Mathematics apply throughout the course. Together with the content standards, the Process Standards prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. B. Recommended Prerequisites: Algebra I C. Credits: 2 semester course, 1 credit per semester D. Fulfills the Geometry/Integrated Mathematics II requirement for the Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas. II. Course (May change to accommodate breaks, weather, and student needs) SEMESTER 1 Unit 1- Essential of Geometry Identify Points, Lines, and Planes Use Segments and Congruence Use Midpoint and Distance Formulas Measure and Classify Angles Describe Angle Pair Relationships Classify Polygons Find Perimeter, Circumference, and Area Unit 2- Reasoning and Proof Identify Pairs of Lines and Angles Use Parallel Lines and Transversals Prove Lines are Parallel Find and Use Slopes of Lines Write and Graph Equations of Lines Prove Theorems about Perpendicular Lines 1 Unit 3- Congruent Triangles Apply Triangle Sum Properties Apply Congruence and Triangles Prove Triangles Congruent by SSS, SAS, HL, ASA, and AAS Use Congruent Triangles Use Isosceles and Equilateral Triangles Unit 4- Relationships within Triangles Midsegment Theorems and Coordinate Proof Use Perpendicular Bisectors Use Angle Bisectors of Triangles Use Medians and Altitudes Use Inequalities in a Triangles Inequalities in Two Triangles and Indirect Proof SEMESTER 2 Unit 5- Similarity Ratios, Proportions, and the Geometric Mean Use Proportions to Solve Geometry Problems Use Similar Polygons Prove Triangles Similar by AA, SSS, and SAS Use Proportionality Theorems Unit 6 - Right Triangles and Trigonometry Apply the Pythagorean Theorem Use the Converse of the Pythagorean Theorem Use Similar Right Triangles Special Right Triangles Apply the Tangent Ratio Apply the Sine and Cosine Ratios Solve Right Triangles Unit 7- Quadrilaterals Find Angle Measures in Polygons Use Properties of Parallelograms Properties of Rhombuses, Rectangles, and Squares Use Properties of Trapezoids and Kiets Identify SPecial Quadrilaterals Unit 8- Properties of Transformations Find Angle Measures in Polygons Use Properties of Parallelograms Properties of Rhombuses, Rectangles, and Squares Use Properties of Trapezoids and Kites 2 Unit 8- Transformations, Formulas, Circles Reflections and Rotations Transformations and Dilations Circles - Arcs, Chords, Inscribed Angles Area of Parallelograms, Trapezoids, Rhombuses, Kites Perimeter of Similar Figures Surface Area and Volume of Solids III. Supplies Needed(daily): 1. Paper 2. Pencil 3. Calculator 4. iPad IV. Classroom Policies: A. Assignments: All assignments are posted on Google Classroom. All assignments that are not electronic must be done in pencil. Full credit can be earned on homework if it is completed in pencil, work is shown and turned in the day it is due. Half credit can be earned on homework if it is completed in pencil, work is shown and turned in one or more days after it is due. Credit will not be given on assignments turned in after the test has been given on the unit. B. Grades: Your grade will be determined by scores accumulated from homework, tests, quizzes and classwork. Grades are weighted in Geomtry: tests - 40%, quizzes - 30%, homework - 20% and classwork - 10%. Each test will be cumulative. Tests are always announced a week in advance. Grading ScaleA 93-100 B+ 87-89 C+ 77-79 D+ 67-69 F BELOW 60 A- 90-92 B 83-86 C 73-76 D 63-66 B- 80-82 C- 70-72 D- 60-62 C. iPads: iPads should be charged and brought to class each day. iPads are to be used for educational purposes in my classroom. Students who disregard this rule will be written up and handbook policies will be followed. Students will also lose classroom iPad privileges for one week with each classroom offense. D. Cell Phones: Cell phones should not be out during class time. Each student will receive one warning and then will be written up and handbook policies will be followed. E. Extra Help: I am available each morning and during homeroom for additional help. I encourage students that are struggling to see me. 3 F. Books: Students will not be issued a book. Students will have access to the book during class, homeroom and/or study hall. Students can check out a book at anytime – just ask!! Books can be kept at home and returned at the end of the year. G. Goal: It is my goal that every student pass each semester in order to earn credit. I would like each student to have mastered all the state standards for the course at 80% or higher mastery. 4