Geometry Syllabus

  • N.C.C.S. DEPARTMENT OF MATHEMATICS

    COURSE INFORMATION SHEET FOR

     GEOMETRY

     

    CREDIT :                               1

     

    SEMESTER AND YEAR:    2019-2020

     

    INSTRUCTOR:                      Mrs. Stein

     

    E-MAIL:                     pstein@nccscougar.org

    I. COURSE DESCRIPTION:

     Geometry will be an in-depth study of applications, concepts, and the history of geometry.  It will be a visual approach to conceptualizing figures in geometry.  It will focus on formal and informal logical thinking and include deductive and inductive reasoning.  The course will use various approaches to studying congruence, similarity, parallelism, symmetry, and transformations.  The integration of algebra skills and concepts to solve geometric problems will be focused on throughout the entire course. The course will have a regent’s exam in June. The Common Core Regents will be their FINAL for the class.

     

    II. PREREQUISITE:      Algebra

    III. COURSE GOALS:     Students will:

    1.)  Apply equivalent relations and proportional studies to congruent and similar figures.

    2.)  Identify polygons and solids and be able to find perimeter, areas, and volumes.

    3.)  Use parallel lines, triangles, and polygons to apply theorems to geometric proofs and        problems

    4.)  Use right triangle theorems to study coordinate geometry and trigonometry.

    5.)  Use definitions and properties to solve problems containing various polygons and circles.

    6.)   Use lectures and notes as well as readings to prove theorems are true. 

    7.)  Work in groups to solve real world problems associated with each unit of study.

    8.)  Be responsible for completing assignments and projects using various strategies and materials. 

    9.)  Use graphing calculators, computer programs, and the internet to complete real world problems.

     

    10.)  Accomplish the ability to understand mathematics in a more in-depth manner.  They will leave this course with a better understanding of geometry and logical reasoning.

     

    IV. COURSE CONTENT:

     

    1.)  Basics of Geometry; points, lines, planes, segments and angle measures.

    2.)  Reasoning and Proof; conditional statements deductive reasoning with algebra, segments and angles.

    3.)  Perpendicular and Parallel lines; proofs, transversals, and the coordinate plane.

    4.)  Congruent Triangles; proofs, types of triangles, and the coordinate plane.

    5.)  Properties of Triangles; perpendiculars and bisectors, medians, altitudes, and midsegments, inequalities and proofs.

    6.)  Quadrilaterals; polygons, properties of parallelograms, proving quadrilaterals, and areas of triangles and quadrilaterals.

    7.)  Transformations; coordinate plane.

    8.)  Similarity; ratio and proportions, problem solving, triangles, proofs.

    9.)  Right Triangles and Trigonometry; similar right triangles, Pythagorean Theorem, special rights, vectors.

    10.)  Circles; tangents, arcs and chords, inscribed angles, segment lengths, and equations of circles.

    11.)  Area of Polygons and Circles; area measures, perimeters and areas of similar figures, circumference and arc length, area of circles and sectors, geometric probability.

    12.)  Surface Area and Volume; solids, prisms and cylinders, pyramids and cones, spheres, and similar solids.

     

                 

    V. REQUIRED MATERIALS:   Binder, graph paper, compass/straightedge.  A graphing calculator will be provided for in class use, TI-83 + and/or Ti-nspire. On any graded assignment ONLY a GRAPHING CALCULATOR (TI-83 +)  may be used.

     

     

    VI. GRADING SYSTEM:

                                                         QUARTER AVERAGES

    Tests                                        40%

    Quizzes                                     25%

    Class work/homework                25%    

    TE (based on average)               10%                            

       

                                                          FINAL AVERAGES

                                                    Quarter averages                     22.2%

                                                    Regents Exam Final                 11.2%

     

     

     

     

     

     

     

     

     

    I have read my child’s 2019-2020 math syllabus carefully.  Please have your child keep the syllabus for their records.

     

    This paper must be signed by a parent/guardian and returned to Mrs. Stein by September 9th 2019.  If you have any questions or comments, call or e-mail Mrs. Stein at the high school (298-8638 ext. 2068) or pstein@nccscougar.org.

     

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    Students Name                                                                                               Date

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    Parent/Guardian Signature