Subject: Geometry
Grade: 10, 11, 12
Length of Course: First and Second Semester
Prerequisite: Completion of Algebra 1 with "C" Average Strongly Urged, Along with Teacher Approval.
CURRICULUM BENCHMARKS:
· Uses a variety of strategies to understand new math content and to develop more efficient solution methods or problem extensions.
· Constructs algorithms for multi-step and non-routine problems.
· Understands the concept of a mathematical proof.
· Constructs logical verifications or counter examples to test conjectures and to justify algorithms and solutions to problems.
· Uses formal math language and notation to represent ideas, to demonstrate relationships within and among representation systems and to formulate generalizations.
· Understands the difference between a statement that is verified by mathematical proof and one that is verified empirically using examples or data.
· Understands the components of mathematical modeling.
· Selects and uses an appropriate indirect method of measurement in a given situation.
· Solves real-world problems involving three-dimensional measures.
· Understands that object and relations in geometry correspond directly to objects and relations in algebra.
· Uses the Pythagorean theorem and its converse and properties of right triangles to solve mathematical and real-world problems.
· Uses geometric constructions to complete simple proofs, to model, and to solve mathematical and real world problems.
· Understands the basic concepts of right triangle trigonometry.
· Uses trigonometric ration methods to solve mathematical and real world problems.
· Uses inductive and deductive reasoning to make observations about and to verify properties of and relationships among figures.
· Uses properties of and relationships among figures to solve mathematical and real-world problems.
· Understands the concept of a function as the correspondences between the elements of two sets.
· Uses calculators to solve problems involving area, volume and right triangle trigonometry.
· Uses graphing calculators to recognize symmetric functions.
COURSE DESCRIPTION:
The course deals with the proofs of theorems and properties of plane and solid figures and the relationships of their parts. Proofs are used in arriving at logical conclusions or to express ideas more precisely; practical applications are not stressed, but are included along with computation, measurement, construction, and the general analysis of problems.
EVALUATION:
The student’s evaluation will be made on the consistent completion of daily assignments, classroom participation, and a successful average on tests and quizzes.