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Geometry Honors
Pre-requesite: Honors Algebra 1 Textbook: Geometry by Holt, Rinehart and Winston, (A Harcourt Education Company) Purpose: Honors Geometry gives the student an in depth understanding of a wide range of geometric topics. We will include proofs, mathematical models, transformations and patterns as well as many other topics not found in the regular class. Honors Geometry is a success-oriented course designed to prepare students for higher-level math courses and, of course, for understanding the world in which we live. Course Description Geometry is the mathematical study of shapes, their properties, and their relationships. The course competencies are presented as a one-year traditional or one-semester block course that meets the state geometry standards. Emphasis is placed on student discovery and exploration and on formulating and defending conjectures. Geometry includes an in-depth study of reasoning, polygons, congruence, similarity, right triangles, circles, area, volume, and transformations. Students will use a variety of approaches, such as coordinate, transformational, and axiomatic systems. Geometry I.B.2. They will also develop an appreciation for the connections between geometry and other disciplines such as art and architecture. Students are expected to use technology throughout the course, particularly interactive, dynamic software. Geometry: I.D.2. Course Outline Students who complete the geometry course will know and understand the core materials in the outline below. All topics should be taught in greater depth and difficulty at the honors level. I. Exploration and overview of geometry. A. Develop an awareness of the structure of a mathematical system, connecting definitions and postulates. Geometry: I.A.1. B. Recognize that the study of geometry was developed for a variety of purposes and has historical significance. Geometry: I.A.2. C. Define basic geometric terms. Geometry: Part of I.A.1. D. Explore attributes of geometric figures using Geometry: I.B.1. 1. Constructions with straightedge and compass. 2. Paper folding. 3. Dynamic, interactive geometry software. E. Explore the basic transformations. Geometry: III.B.1.,2. 1. Translation. 2. Rotation. 3. Reflection. 4. Dilation. II. Logical reasoning. A. Define and use conditional statements. Geometry: part of I.A.1. B. Determine the truth value of the converse of a conditional statement. Geometry: I.C.1 C. Use logical reasoning to draw conclusions about geometric figures from given assumptions. Geometry: I.C.2. D. Construct and judge validity of a logical argument consisting of a set of premises and a conclusion. Geometry: I.C.3. E. Use inductive reasoning to formulate a conjecture. Geometry: I.C.4. F. Use deductive reasoning to prove a statement. Geometry: I.C.5. G. Find the contrapositive, converse, and inverse of a statement. H. Write and use counterexamples. I. Determine the truth of a conditional statement using a truth table. J. Determine the validity or invalidity of an argument using truth tables. K. Use truth tables to show that statements are tautologies, contradictions, or are logically equivalent. III. Lines and triangles. A. Based on explorations and using concrete models and geometry software, formulate and test conjectures about properties of Geometry: IV.B.1.a. 1. Parallel lines. 2. Perpendicular lines. 3. Two parallel lines cut by a transversal line. B. Use numeric and geometric patterns to make generalizations about Geometry: II.A.1. 1. Angle relationships. 2. Inequalities in triangles. C. Justify and apply triangle congruence relationships. Geometry: V.B.2. D. Use congruence transformations to make conjectures about and justify properties of triangles. Geometry: V.B.1. E. Identify, describe, and defend congruence between shapes. Geometry: V.B.3. IV. Polygons and quadrilaterals. A. Use numeric and geometric patterns to make generalizations about properties of Geometry: II.A.1. 1. Polygons. 2. Angle relationships in polygons. B. Based on explorations and use of concrete models and geometry software, formulate and test conjectures about properties and attributes of polygons and their component parts. Geometry: IV.B.1.b. C. Explore symmetry in regular polygons, and analyze the symmetry of objects using the language of transformations. Geometry: III.B.3. D. Use transformations and their compositions to make connections between mathematics and applications including tessellations or fractals, in particular with graphing calculators and geometry software. Geometry: III.B.4. E. Find optimal solutions to problems involving paths, networks, or relationships among a finite number of objects, using digraphs or vertex-edge graphs. Geometry: I.D.3. V. Coordinate geometry. A. Given geometric figures, utilize a coordinate system to identify and justify conjectures. Geometry: III.A.1. B. Use slopes and equations of lines to investigate geometric relationships of Geometry: III.A.2. 1. Parallel lines. 2. Perpendicular lines. 3. Special segments of triangles. 4. Special segments of other polygons. C. Develop and use formulas including distance and midpoint. Geometry: III.A.3. D. Given two ordered pairs Geometry: III.A.4. 1. Find the distance between them. 2. Locate the midpoint. 3. Determine the slope of the line that contains them. E. Plot coordinates for translations and describes the vertical and horizontal transformational vector(s). Geometry: III.B.1. VI. Area and perimeter. A. Find areas of Geometry: IV.A.1. 1. Regular polygons. 2. Composite figures. 3. Circles. B. Using graphing calculators, spreadsheets and dynamic, interactive geometry software, determine and describe the resulting change in the area and perimeter when one or more dimensions is changed, and apply this idea in solving problems. Geometry: I.D.1., IV.A.5., V.A.7. C. Develop and use Pick's theorem for finding the area of an irregular polygon. VII. Three-dimensional figures. A. Use numeric and geometric patterns to make generalizations about solid figures. Geometry: II.A.1. B. Draw, examine, and classify cross sections of three-dimensional objects. Geometry: II.A.3. C. Construct a three-dimensional object using a two-dimensional diagram such as a blueprint or pattern. Geometry: II.A.4. D. Use top, front, side, and corner views of three-dimensional objects to create accurate and complete representations and solve problems. Geometry: I.D.1., II.A.5. E. Represent a three-dimensional object in two dimensions using graph or dot paper. Geometry: II.A.6. F. Use formulas for surface area and volume of three-dimensional objects to solve practical problems. Geometry: I.D.1., IV.A.4. G. Using graphing calculators, spreadsheets, and dynamic, interactive geometry software, determine and describe the resulting change in volume when one or more dimensions is changed. Geometry: IV.A.5.; V.A.7. VIII. Similarity. A. Use numeric and geometric patterns to make generalizations about ratios in similar figures. Geometry: II.A.1. B. Identify, describe, and defend similarity between shapes. Geometry: V.A.1. C. Justify conjectures about geometric figures using similarity and transformations. Geometry: V.A.2. D. Utilize ratios to solve problems involving similar figures in a variety of ways, including the use of dynamic, interactive geometry software. Geometry: I.D.1., V.A.3. E. Solve applied problems using scale modeling. Geometry: I.D.1., V.A.4. F. Solve problems using proportion involving similar figures. Geometry: I.D.1., V.A.8. G. Develop, apply, and justify triangle similarity relationships. Geometry: V.A.5. IX. Right triangles. A. Develop, extend, use, and prove the Pythagorean Theorem. Geometry: IV.A.3. B. Identify and use the right triangle theorems for 1. 45°-45°-90° triangles. 2. 30°-60°-90° triangles. C. Identify and apply patterns from right triangles to solve problems. Geometry: I.D.1., II.A.2. D. Explore concepts and applications of trigonometry by solving applied problems using right triangle trigonometry (sine, cosine, and tangent). Geometry: I.D.1., V.A.6. X. Circles. A. Use numeric and geometric patterns to make generalizations about circles. Geometry: II.A.1. B. Find areas of sectors and arc lengths of circles using proportional reasoning. Geometry: IV.A.2. C. Based on explorations and using concrete models and geometry software, formulate and test conjectures about properties and attributes of circles and the lines that intersect them. Geometry: IV.B.1.c. III GENERAL GUIDELINES 1. Follow the directions the first time they are given. 2. Follow the policies and rules set forth in the student agenda/handbook. 3. Be in the classroom and seated in your assigned seat when the bell rings. 4. Bring all required materials as is listed in the daily requirement to every class. Failure to bring the proper materials to class will result in detention, a call to parents, and/or referral. 5. If you are absent, see me about the work you missed. Any work not made up within five school days will result in a grade of zero. Tests will be made up before or after school, not during class. 6. Major assignments and projects should be turned in on the due date, so plan and organize your time well. There will be a 10-point grade deduction for each day that an assignment is late. 7. Bring homework to class each day. You will not be allowed to leave class to get it. 8. Field trips are NOT counted as absences; therefore, you will not have any extra time to do or turn in assignments or take tests. Assignments due on the day of the field trip should be turned in before leaving; you will also be responsible the next class period for work or tests assigned on the day of the field trip. 9. Make Up Work (Daily Assignments) After an excused absence, students are responsible for asking for the “missing” assignment from the teacher 10. Extra-help: Students are encouraged to come for extra help before/after school or during my planning periods (3rd and 6th). 11. No student walks in the class without permission when the teacher is teaching. Students are expected to be on task, working on only assigned work or as directed by the teacher. Work from other classes will not be accepted. Playing games on calculators may be allowed only after the class work is completed. 12. Cooperative Learning: Only your group members should hear what you are saying during group discussion. Noise level should be low. 13. Expect unannounced quizzes. 14. Restroom: All students are entitled to only three restroom passes per quarter. Students should endeavor to use their lockers, restroom, phone and water fountain before the tardy bell. 15. Trash: All trash should be thrown away at the end of the period unless or otherwise instructed. 16. Pencil Sharpening: Pencils should be sharpened before the tardy bell rings. IV DAILY REQUIREMENTS: 1) A note book (three ring binder and loose leafs) Your note book should be organized into 5 sections, section A--(Newsletter, syllabus and standard). Section B--(Essential questions, answers to essential questions, and objectives. Section C--Notes, class examples and class work. Section D--Home work and Section E--I LEARNED and I DID NOT UNDERSTAND. 2) A mathematical set containing the following: (a) A ruler (b) a protractor (c) a compass (d) at least one pencil (e) An eraser (f) a pair of scissors (g) a tape measure 3) A T1 83 calculator is highly recommended 4) Graph note book 5) Text book V CLASS EXPECTATIONS: 1. Respect yourself, the teacher and fellow students. 2. Bring all required materials every time you come to class. 3. Be in assigned seat when the tardy bell rings. 4. Food, drinks, use of cell phones and chewing gum will not be allowed in the classroom. 5. No students are allowed to stand at the door before the bell. 6. Follow the rules listed on the students’ handbook. VI CONSEQUENCES 1st Offense: Verbal Warning 2nd Offense: Lunch detention. 3rd offence: a call to parents followed by a referral. Severe disruption will result to a call to an administrator for immediate removal to ISS. VII REWARDS Good Grades and mastery of content Praise (daily) Student of the month Candy (occasionally) VIII Assessments Major assessments will occur at the end of each unit as test, quizzes, and or projects. All assessments will be graded and recorded in the teacher’s grade book under the appropriate heading. At the end of each 9 weeks, the final grade will be calculated as follows: (A project might be assigned a test grade) Quizzes and Tests--------------- ----60% Class Work ------------------------ 20% Homework---------------------------10% Notebook/Problem of the day--------- 10% IX GRADING SCALE The following state mandated grading scale will be enforced: A = 100-93 B = 92-85 C = 84-77 D = 70-76 F = 63-69 Partial GPR Credit F = 62 or below (No GPR Credit) Homework will be assigned daily. It will be checked to make sure you are making an honest attempt at the work. To make an honest attempt is to copy the problem (except word problems) and to show all work. Class work will be any work assigned and completed during class, such as problems of the day, group work, and various other assignments. Major tests will be given at the end of each unit. Alternative assessments, such as presentations, reports, and projects may be counted as major test grades. Warm-ups will be posted on the overhead or board at the beginning of most classes as a review of a previous lesson. Warm-ups should be kept together in a section of your binder. Your notebook will be checked periodically for completed warm-ups and organization of notes and returned work. A cumulative semester exam will be given at the end of first semester and will count 20% of the first semester grade. A cumulative final exam will be given at the end of the year and will count 20% of the second semester grade. X Student Records The following procedures will be used to record student progress: 1. Grade book – All grades will be recorded in the teacher’s grade book on a regular basis. The teacher will also record these grades in a computer grade book. 2. Other means of recording and reporting student grades include progress reports and report cards. Parents may also request reports at any time XI Attendance 1. It is extremely important that you attend class everyday! Missed explanations are almost impossible to make up. Attendance will be taken during each class. The school attendance and tardy policy will be followed. 2. Assignments may be made up if absence is excused and admission slip is shown within two days of absence. An unexcused absence will result in a zero on each missed assignment. 3. State law mandates that any student exceeding 5 unexcused absences may be denied course credit. XII. Communication with Parents Parents of my students will be contacted several times during the school year. Parents will receive the syllabus, mid-nine weeks progress reports, nine weeks report cards, telephone calls, e-mails when necessary, and parent/teacher conferences as needed. Parents can stay up-to-date on school events by visiting www.greenville.k12.sc.us/southside. The effort you put forth will result in the grade you receive. Please feel free to ask for help when you need it; I am available during the 3rd and 6th periods and before or after school. An exciting, busy year awaits us! _______________________ Mrs. Roxanna E. Ezenekwe Student, please file the signed copy of this document on the first page of your three ring binder for reference purposes. I have read the syllabus, guidelines and class rules and will see that my son/daughter will follows them. Parent Signature__________________Date_________ Student Signature _________________________Date________ |
