Geometry Course Description

     Geometry at the Academy is offered at an added cost outside of the regular school day.   In order to be eligible to enroll in this course students must meet certain criteria.  This course is not for everyone!  Eighth grade students who should consider taking this course are those who have already shown that they have some special math ability and interest.  In addition, these students need to consider that the course is offered at 7am, daily with the exception of Fridays.  That means that they will need to be at school about an hour earlier than would otherwise be necessary.  Finally, these students need to realize that Geometry is a high school course that requires high school effort, and requires high school amounts of homework.  If there is any doubt about whether or not a particular student has what it takes, he should talk to his 7th-grade math teacher about what his thoughts are concerning that student's ability to enjoy success in Geometry in the 8th grade.
     Geometry students will use geometric thinking to understand mathematical concepts and the relationships among them.  They will study properties and relationships having to do with size, shape, location, direction, and orientation of figures.  Geometry students will learn to use inductive (geometric patterns) and deductive (geometric structure) reasoning skills, multiple representations, applications and modeling, and justification and proof.   Students will become familiar with dimensionality, similarity, and congruence.  Emphasis will be on zero, one, two and three-dimensional reasoning skills, coordinate and transformational geometry, and the use of geometric models to solve real-world problems.
     Although the grade from the Geometry class does not impact a student's GPA at the Academy, a passing grade must be maintained for a student to remain eligible to participate in extracurricular activities.

     This class will be taught using techniques that are being called, "Blended Learning".  This means that some homework requires students to watch a video that is the lesson for the latest topic.  They are expected to learn the material in the videos in the same way that they are expected to learn a lesson when it is given live, in class.  Blended Learning techniques have been shown to be at least as effective as in-person lesson presentations and have been incorporated in this class the past 2 years with great results.


                                      GEOMETRY CURRICULUM

    Textbook: Geometry; Houghton Mifflin
 

     The Geometry course offered at San Antonio Academy was developed so that the most mathematically talented 8th  graders could have a chance to complete a more advanced level of mathematics than most of their contemporaries, and to prepare them for upper levels of mathematics that they will encounter in high school.  While accommodations have been made that will help meet the needs of SAA students parents need to  be aware that this is a 10th grade math course and that the work required to pass it is at that level



   Course Outline:

      August, September, and October:

         Basic definitions and concepts (points, lines, planes,
         angles, basic relationships, and postulates)
         Deductive and Inductive Reasoning (if-then statements,
         converse,  logic, patterns)
         Constructing Proofs

      November and December:

         Geometric Comparisons (similarity, congruence)
         Geometric Classifications (polygons, quadrilaterals)
         Geometry Application Projects

      January, February, and March

         Nuances of Triangles (Pythagorean Theorem)
         Circles (tangents, arcs, chords, angles, segments)
         Perimeter, Area Volume, Surface Area

      April & May

         Trigonometry and Algebraic Connections
         Euclidian Transformations



   Academic Goals:
   The goals and objectives for Geometry at San Antonio Academy this school year are:
   1. To learn the vocabulary and language of Geometry
   2. To have working definitions of geometric concepts and
       theories.
   3. To understand the reasoning behind formal geometry and be
       able to create individualized proofs for geometric theories.
   4. To apply the concepts of geometry across the curriculum.
 
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