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Advanced Geometry SyllabusFall 2014 and Spring 2015Ms. Tiffany DixINSTRUCTIONAL GOALS Advanced Geometry includes the study of line and angle relationships, polygons, triangles, logic, proof, transformations, circles, areas, volume, geometric probability, Pythagorean Theorem, similarity and right triangle trigonometry. Additionally several algebra topics are addressed: solving multi-step one-variable equations, systems of equations, and quadratic equations. The coursework for Advanced Geometry is aligned with the Kentucky Core Academic Standards for Mathematics. Throughout the course, students must demonstrate mastery in each of the following standards.AlgebraInterpret the structure of expressions.Write expressions in equivalent forms to solve problemsPerform arithmetic operations on polynomialsUnderstand the relationship between zeros and factors of polynomials.Create equations that describe numbers or relationships.Understand solving equations as a process of reasoning and explain the reasoning.Solve equations and inequalities in one variable.Solve systems of equations.Represent and solve equations and inequalities graphically.FunctionsUnderstand the concept of a function and use function notation.Interpret functions that arise in applications in terms of the context.Analyze functions using different representations.Build a function that models a relationship between two quantities.Construct and compare linear and quadratic models and solve problems.GeometryExperiment with transformations in the plane.Understand congruence in terms of rigid motions.Prove geometric theorems.Make geometric constructions.Understand similarity in terms of similarity transformations.Prove theorems involving similarity.Define trigonometric ratios and solve problems involving right triangles.Apply trigonometry to general triangles (use the Laws of Sines and Cosines).Understand and apply theorems about circles.Find arc lengths and areas of sectors of circles.Translate between the geometric description and the equation for a conic section.Use coordinates to prove simple geometric theorems algebraically.Explain volume formulas and use them to solve problems.Visualize relationships between two-dimensional and three-dimensional objects.Apply geometric concepts in modeling situations.PREREQUISITES AND RESOURCESRequired BackgroundTo successfully complete this course, you must be proficient in the following areas of algebra Using the properties of algebra.Simplifying and evaluating algebraic expressions.Solving equations and inequalities.Using standard, slope-intercept, and point-slope forms for linear equations.Graph linear equations and inequalities in one variable.Required MaterialsTo successfully complete this course, you will need the following toolsMcDougal Littell Geometry text bookThree-ring binder or a folder and notebookGraph paper (all graphs should be completed on graph paper)Pencils (tests and homework should be completed in pencil only)Straight edge (such as a ruler)ProtractorCompass (one which does not bend or deform easily)Graphing/Scientific Calculator (TI-82/83/84 is preferred)Online Resources This is the course website. This is an online graphing calculator. Use it to help check your work on homework if your calculator is not available. – View online video tutorials on a variety of subjects is you need a refresher on past topics or want to see current material presented in a different way. Useful in multiple content areas. - An online copy of the book Flatland: A Romance of Many Dimensions by Edwin A. Abbott. We will study this book during the course.COURSE SCHEDULEThis course will cover all 12 chapters of the Geometry text book as well as Chapters 1-3, 5, and 6 (if time allows) of the Algebra II text book (supplements will be provided by the teacher and should be returned at the end of each chapter). First semester will include chapter 1-2 from Algebra II and chapters 1-6 from Geometry. Second semester will include chapters 3-5 from Algebra II and chapters 7-12 from Geometry. We will also conduct a study of the novel Flatland and its connection to geometry, history, politics, computer science, and theology. A detailed assignment schedule will be provided by Ms. Dix. Additional assignments may be given in order to meet course standards and class needs.POLICIES AND PROCEDURESBe prompt to class. There are many fun and exciting things to learn and we do not want to waste any time. Students late to class without a note or an admit slip will be marked tardy. You will have one minute after the bell rings to take care of any housekeeping items (sharpening pencils, taking out homework, etc.) Be in your seat, ready to receive instruction by that time. Homework will be graded at the beginning of class. Any homework submitted after the beginning of class is considered late and will not be accepted for a grade. Completed homework should be kept in your math 3-ring binder (or folder) and turned in with each completed assignment sheet. Your grade will be recorded at that time, so it is important that the assignment sheet is not lost and all assignments are turned in to receive credit.Stay seated until Ms. Dix dismisses class. Do not line up at the door waiting for the bell to ring.Adhere to the cell phone use policy. Ms. Dix may give permission for a cell phone to be used to aid in the completion of an in-class assignment when appropriate. Unless explicit permission to use it is given, electronic devices must be turned off and put away before the bell rings. Permission to use a cell phone will never be given for use during a test, so don’t forget your calculators.Abide by the duPont Manual High School Academic Integrity Policy at all times. Here at Manual, we have high expectations for both academics and behavior. All students are expected to be respectful of each other, the teacher, any guest of the class, of the common materials, and the class space. Finish and dispose of any food before entering the classroom. The duPont Manual High School Academic Integrity Policy states:This work is my own. I have neither used, received, nor given unauthorized aid in its completion.Grading Policies:Each student’s final grade for each semester will be determined based on the following categories:Individual Tests (40% - Student Mastery of Standards) will be announced and given during class. Tests will be summative assessments given at the end of each chapter or at the end of each semester as a cumulative final. These may also include district Proficiency Assessments which cover multiple units.Mastery Progress Assessments (20% - Student Progression toward Standards) are given throughout the chapter to check whether or not the student can demonstrate proficiency in a given standard/goal. Mastery assessments will be completed online through the student’s CIITS account. These are graded and if a student scores below 80% he or she is required to complete a Reteaching with Practice assignment, which can be found on the course website. The reteaching assignment will be due no later than the day of the next chapter test. Students who score the minimum 80% on the Mastery Assessment may complete the Reteaching Assignment for extra credit. While Mastery Assessments should be completed individually, Reteaching Assignments may be completed with the help of tutors, peers, parents, etc.Homework (15% - Student Progression toward Standards) will be assigned daily and will be due at the beginning of class the following class. Late assignments will not be accepted except per the excused absence policy. A grade sheet for assignments will be given to each student. Each assignment sheet will serve as a record of homework grades and is to be turned in as soon as it is completely full with the corresponding assignments stapled behind it in chronological order. Students are strongly encouraged to keep all work in a three-ring binder so that work is not lost.Team Tests and Group Work (15% - Student Engagement with Standards) will be given for many chapters covered throughout the year. Students will be given a prompt or set of questions which must be solved within the assigned group. The group must come to a consensus regarding the approach and the solution. Team/group members are expected to discuss their thinking, not just have one person solve and pass his/her paper to everyone else.Participation (5% - Student Engagement with Standards) includes maintaining the Notes/In-Class section of the 3-ring binder. Assignments and activities completed during the school day, openers, reflections, group activities, and exit slips may be graded as part of in-class participation as well. These points can’t be made up, so attendance is important.Portfolios/Projects (5% - Student Mastery of Standards) will be assigned throughout the year. More information (rubrics, descriptions, due dates, etc.) will be provided later. Projects must be turned in no later than the class period of the due date. For example, if you have math W1 you may not wait until W2, W3, or W4 to turn it in for a grade. It is strongly suggested that students complete assignments early as printer malfunctions the night before it is due, forgetting to bring it to school, etc. are not valid reasons for an extension.Grading Scale:The standard JCPS grading scale will be used:A 93-100 – Exceeds StandardsB 86-92 – Meets StandardsC 79-85 – Marginally Meets StandardsD 70-78 – Below StandardsU 0-69 – Unsatisfactory PerformanceOTHER INFORMATIONEmail: tiffany.dix@jefferson.kyschools.usClass Website: have read through and understand the contents of the syllabus for Ms. Dix’s Advanced Geometry class. I will also adhere to the DuPont Manual High School Academic Integrity Policy for all work completed for this course. It states: This work is my own. I have neither used, received, nor given unauthorized aid in its completion.Student Name (Print): _____________________________________Block: ______Student Signature: _____________________________________ Date: ______Parent Signature: _____________________________________ Date: ______ ................
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