Geometry Course Description
(from NY State Education Department)
The three high school mathematics courses (Integrated Algebra,
Geometry, Algebra & Trigonometry) are built around five process
strands: Problem Solving, Reasoning and Proof, Communication,
Connections, and Representation as well as five content strands:
Number Sense and Operations, Algebra, Geometry, Measurement, and
Statistics and Probability. Within these courses, students
will be expected to make connections between the verbal, numerical,
algebraic, and geometric representations of problem situations.
These courses will require students to apply and adapt a selection
of strategies and algorithms to solve a variety of problems.
It is expected that these strategies and algorithms will be
implemented using both traditional and technological tools.
Geometry is the
second course in mathematics for high school students. There
is no other school mathematics course that offers students the
opportunity to act as mathematicians. Within this course,
students will have the opportunity to make conjectures about
geometric situations and prove in a variety of ways, both formal and
informal, that their conclusion follows logically from their
hypothesis. This course is meant to employ an integrated
approach to the study of geometric relationships. Integrating
synthetic, transformational, and coordinate approaches to geometry,
students will justify geometric relationships and properties of
Congruence and similarity of triangles will be
established using appropriate theorems. Transformations including
rotations, reflections, translations, and glide reflections and
coordinate geometry will be used to establish and verify geometric
relationships. A major emphasis of this course is to allow
students to investigate geometric situations. Properties of
triangles, quadrilaterals, and circles should receive particular
attention. It is intended that students will use the
traditional tools of compass and straightedge as well as dynamic
geometry software that models these tools more efficiently and
accurately, to assist in these investigations. Geometry is
meant to lead students to an understanding that reasoning and proof
are fundamental aspects of mathematics and something that sets it
apart from the other sciences.
Students will sit for a NYS Regents Examination at
the end of this course.