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GEOMETRY LEVEL 1 - COURSE SYLLABUS 2016-2017 TEACHER: Mr. Danley PHONE: 610.847.5131 x2306 ROOM: 105 EMAIL: [email protected] MATERIALS: 1. Text: Discovering Geometry, An Inductive Approach, Michael Serra, Key Curriculum Press, 2008. Supplies: A notebook with lined paper, pencil, eraser, and a graphing calculator. Calculator: Any scientific calculator will be sufficient. The TI-83 or TI-84 is recommended for most math classes. COURSE CONTENT: DESCRIPTION OF COURSE: The objective is to develop knowledge of geometry and its relationships to other mathematics systems. Students will develop and use the processes of inductive and deductive reasoning to affirm or deny conjectures. The course content includes the study of perpendicular and parallel lines; congruent polygons and similar polygons; right triangle properties; circles and related segments, lines, arcs and angles; construction and locus problems; coordinate geometry; and applications of geometry to angle measure, distance, area, volume problems and problem solving. TITLES OF UNITS: 0. Geometric Art (optional) Line Designs Circle Designs Op Art 1. Introduction to Geometry Building Blocks of Geometry Defining terms, figures, symbols Basic Properties of polygons, triangles, quadrilaterals and circles 2. Reasoning in Geometry Inductive/ Deductive reasoning and finding the nth term in number and picture patterns Creating mathematical models using geometric and algebraic expressions Parallel lines, angle relationships 3. Using tools of Geometry Geometric construction of angles, segments, perpendiculars, perpendicular bisectors, angle bisectors, and parallel lines 4. Discovering and Proving Triangle Properties Properties of triangles (angles and triangle inequalities) Properties of isosceles triangles Triangle congruence properties Proof and flowchart proofs 5. Discovering and Proving Polygon Properties Polygon sum conjecture, Exterior angles of a polygon Trapezoid properties, Midsegments Properties of parallelograms 6. Discovering and Proving Circle Properties Basic terms: circles, chords, radii, diameter, secants and tangents Properties of tangents, chords, secants, arcs and angles Circumference Arc length Midterm Review and Midterm Exam 7. Area Area and perimeter of polygons and circles Arc lengths and areas of sectors Area and perimeter of similar figures Surface Area Maximizing area 8. Pythagorean Theorem The theorem of Pythagoras and its converse Isosceles right triangles, 30-60-90 triangles 9. Volume Area and volumes of prisms, pyramids, cylinders, cones and spheres Area and volumes of similar solids 10. Similarity Similar polygons and triangles Indirect measurement with similar triangles Final Review and Final Exam EVALUATION: Quarter Grade: Course Grade: Test, Quizzes, and Performance Tasks: 80% Homework/Class work: 20% First Quarter: 40% Second Quarter: 40% Exams (Midterm and/or Cumulative Final): 20% CLASSROOM POLICIES: Absences, lateness, and plagiarism will be dealt with according to school policy. See your student handbook for details. If you miss class to participate in a school-approved trip or activity, the assignment is still due. (Student Handbook). HOMEWORK POLICY: Homework will be assigned regularly and is due the following day. Late homework will receive no credit. Work must be shown for each problem, answers only is not acceptable. Grades for homework will be determined as follows: Full credit: All problems are completed. Half credit: Partially done, with at least half completed. PORTFOLIO ENTRIES: Projects and selected performance assessments all make great portfolio entries. **Course content may vary from this outline to meet the needs of this particular group.**