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Applied Geometry Syllabus, 2013-2014 Mrs. Cherie Clymer [email protected] Course Description Welcome to Geometry! Geometry (from the greek “geo” (earth) and “meter” (to measure), is the field within mathematics that focuses on visual patterns. We’ll be constructing and drawing A LOT this year; if you like art, this may be your favorite math course ever! We will study familiar topics such as area, perimeter, and volume, while also exploring new ideas in deductive reasoning, proof, similarity and congruence, transformations, and coordinate geometry. We will look for practical applications of geometry all around us, and we will talk to people who use geometric principles in their work each day. Each person in this class has the ability to master the basic principles of geometry and be successful in this class. This syllabus is intended to help all of us have the most successful year possible; please familiarize yourself with the following procedures and guidelines. Standards (adapted from the Common Core State Standards for Mathematics) The following mathematical standards will be met throughout the first semester: G.Co.A.1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on undefined notions of point, line, and distance along line segment and circular arc. G.Co.B.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. G.Co.B.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent. G.Co.D.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. G.C.A.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle. G.C.A.2 Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. G.Co.A.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself. G.Co.A.2 Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). G.Co.A.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. G.Co.A.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. Standards of Practice 3: Construct viable arguments and critique the reasoning of others: Uses theorems, postulates, and definitions to justify reasoning. (from current state standards- expires june 2014, but is still on the Benchmark assessments) G.1D Write the converse, inverse, and contrapositive of a valid proposition and determine their validity. G.Co.C.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints. G.Co.D.13 Construct an equilateral triangle, a square, and regular hexagon inscribed in a circle. G.GPE.B.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.★ G.GPE.B.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). h/clymercl/geometry/syllabus2013.8.30.13 G.Co.B.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. G.Co.C.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. G.Co.C.11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. Materials Behavior Standards (the Way) Pirate 1. 2. 3. 4. 5. Assessment 3-ring binder, graph paper, pencil, pen, ruler, highlighter, calculator (scientific or graphing), compass, protractor Respect: Students will show consideration, tolerance, and courtesy for all people, the school facility and equipment, and the integrity of student work. Students will do their best to maintain and/or improve the physical facilities we share. Responsibility: Students will take ownership for their actions and choices, and will follow ethical internet conduct guidelines. Students will not plagiarize or cheat in any way, written or electronically. Engagement: Students will participate fully every day. This includes being on time to class and working “from bell to bell”, and completing all assigned work to the best of their ability. Positivity: Students will control their emotions and cultivate a positive attitude for themselves and the learning community. Persistence: Students will practice “continuing on” with their work in spite of obstacles, and will seek ways to maintain momentum in learning. Intervention Steps: verbal reminder student stays after class meeting with teacher(s) parent contact follow the district discipline policy Please note: No food or drinks (except bottled water) are allowed in the classroom or computer lab after the first 10 minutes of class. Grades will be determined by student mastery of the performance standards. For each standard, students will receive a numerical score from 0 to 4, based on their mastery of the standard. The score may be based on homework, classwork, tests, presentations, and computer lab projects. Students may improve their grade on any standard by retaking a test or assessment IF their homework for that standard is complete. While homework may not always be used to assess a standard, it will be recorded and posted online so students have a record of their practice. Final grades will be the average of all standards studied during the grading period. Letter grades will be assigned as follows: A B C D F Late Work and Absences 87.5 – 100 % 75 – 87.499 % 62.5 – 74.499 % 60 – 62.499 % below 60 % (3.5 out of 4) (3 out of 4) (2.5 out of 4) Students who are absent have as many days to make up work as they were absent from class. Students more than 10 minutes late for class will be considered absent. Students missing more than 20 days of class will not receive credit for the course. h/clymercl/geometry/syllabus2013.8.30.13 Geometry Syllabus Contract Directions: Please sign and return this page to Mrs. Clymer in Room 279 by Friday, September 6, 2013. Note to parents: I will use the email you give me here to create distribution lists for contacting you about what we are doing in class. Please give me your email addresses one more time, even if you have already given them to the main office. Date: ____________________________ Dear Mrs. Clymer: By signing below we acknowledge that we have read and clearly understand the information and policies included in this Geometry Course Syllabus. We also give permission for this student’s work to be posted on the class website, as long as all identifying information has been removed. We will contact you if we have any questions. Parent Contact Information: Email Address: _______________________________________________________________ Parent/guardian’s printed name: ___________________________________________________ Signature ________________________________________ cell phone #:___________________ Is there anything you think I need to know about your son/daughter/ward? Please write your comments here (or email me at [email protected]) : ____________________________________________________________________________________________________________ ____________________________________________________________________________________________________________ ____________________________________________________________________________________________________________ ____________________________________________________________________________________________________________ ____________________________________________________________________________________________________________ Student’s printed name: ________________________________________________________________________________________ Signature ___________________________________________________________________________________________________ Student’s email: _____________________________________________________________________________________________ Student’s cell phone number: ___________________________________________________________________________________ h/clymercl/geometry/syllabus2013.8.30.13